Statistics

Problem Statement for "SpecialClique"

Problem Statement

In this problem we use "AND" to denote the bitwise-and operator. For example, (6 AND 5) = 4.

A collection C is called a clique if and only if it has the following properties:
  • C is non-empty.
  • The elements of C are positive integers. (They are not required to be distinct.)
  • Whenever x and y are two (not necessarily distinct) elements of C, the value (x AND y) is non-zero.
For example, {3}, {1,1,1}, {16,17,18,19}, and {3,6,5} are cliques, but {3,5,20} is not a clique because (3 AND 20) = 0.

A clique is called trivial if the bitwise-and of all its elements is non-zero. A clique that is not trivial is called special.

For example, the cliques {3}, {1,1,1} and {16,17,18,19} are trivial, and the cliques {3,6,5} and {3,3,6,5,6} are special.

You are given a long[] s that contains a collection of positive integers. We want to change s into a special clique by erasing some (possibly none, but not all) of its elements. Return "Possible" if this can be done, or "Impossible" if it cannot be done.

Definition

Class:
SpecialClique
Method:
exist
Parameters:
long[]
Returns:
String
Method signature:
String exist(long[] s)
(be sure your method is public)

Constraints

  • s will contain between 1 and 1,000 elements, inclusive.
  • Each element in s will be between 1 and 1,000,000,000,000,000,000 (10^18) inclusive.

Examples

  1. {3,6,5,8,24,56}

    Returns: "Possible"

    We can erase the last three elements of s, producing the special clique {3,6,5}.

  2. {6, 5, 8, 24, 56}

    Returns: "Impossible"

    Each clique we can produce from this s is a trivial clique.

  3. {585858585858585858, 585858585858585858, 585858585858585858, 585858585858585858}

    Returns: "Impossible"

    Note that s may contain duplicates.

  4. {2,3,5,7,11,13,17,19,23,29,31,37,41,43,47}

    Returns: "Impossible"

  5. {1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,987,1597}

    Returns: "Possible"

  6. {7,11,13,14}

    Returns: "Possible"

  7. {3,80,53,33,47,7,3,63,91,37}

    Returns: "Impossible"

  8. {3,80,53,33,47,7,3,63,91,37,66}

    Returns: "Possible"

  9. 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    Returns: "Impossible"

  10. 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0461,403005264261270346,85116990796855400,827187647766553837,58258443893303739,942052970117358526,375818167363169868,786546519751651653,380316196109474704,713390008355074308,504376764074529536,530009328941746083,195470622885186806,220396202978054138,149333140978472074,407125232505021600,179861781949007116,880255846334421313,493983820045734674,389102792308842858,63743333558753387,869889916097153093,115883472821050419,275830078129459495,193536571658532885,886029368852971982,687464262838705919,137947044696575971,85515892748677070,41155644352924598,21101603729509067,225026027454052375,356818863277119707,711309473299551918,4225147709550688,726036752419154767,463724128650906856,470130724906003185,729423954255540442,346337271268998015,997394066960906328,651701872957582213,678579815974872392,546716651021252944,410800139366476805,189108507212953634,230378450782138370,556153187704990887,915244741144623528,634910030795058856,492671301315409369,126022402029752836,311687232636593751,554587823295452610,125916468291603181,727082089396135215,600762278985386627,652579168237249622,743740388282439504,142869956087897356,644969925961935391,218115231959512711,518912248002404655,874752670984481709,159564740301400250,410651625894239043,320422031724102884,628837754598608301,921893970644329822,347868160738051507,191371887935790001,462580198688291379,96548945416020890,59669092833985150,424189541393853401,857893455602445350,479548580490938570,708142177325542875,398330471121047823,862363310146810222,872484854229528241,840924373733193554,51329942306737266,830433094387134387,400346697952521474,10894285282568540,972525304047377220,614525744718033998,620218547996263369,269861928607991273,733966940160471253,402776328747036418,187919493182744380,151935014430789868,53494656254783673,388376864197457320,70601464708845620,69444432214599196,861891865758661582,903621675904003243,78631447645459652,914208892060175200,421794186107735053,54987832552413602,679512491785610791,476255326299763639,98912203335479314,603366266529309830,18785470251937898,186610366074982087,96638502456970159,732913967840488972,776445187307014136,399425348665227471,754257937594579419,742897270981162979,665233710450155433,694530986989396670,295666140986802815,166080758697183218,549381465986312611,353073915643697361,961069139369676155,12359008640443558,353138150923702484,650658889964606481,186735595746170555,163841625804849068,717782043151362259,981377098756234656,817373926615686387,164333473399324003,256702956776443239,650742108022672968,792399993621663501,375846857219344370,99825008921246309,161758429008666599,870196797968079264,437724607892319521,740480162327606787,700966056952193890,392851926215219700,632534349012728258,899480544047644191,430060573090495280,142773780992264942,35613413511574913,162969086962168876,668446731651905139,47950785497709739,131520541760860317,24379148702156386,187517756046303066,721549816073175058,929858925248613767,444673556803290472,204552630492886199,887204726338324586,106609181587189470,263080867415482329,946511334886003514,160461079179462361,875487309258119816,966635025798341699,873495102787165034,639194247056118518,873452578203973731,165147082184288194,151627069754100699,452188988931851781,643820117443370227,147313387091886859,175629987465304113,606388186764765075,748223982859851222,806724869361821732,390583533719435313,889233897063688681,363225876952346649,180008182593363379,839458460953532368,913765562967057757,720314408495024721,47103877770922681,702417665027348999,91912389304323531,252806016700905966,260861708100001312,770937994354250601,637090138997945131,491953708190512687,552403328094350559,242804564448718481,450062561977468748,192049225453727835,726119955186713262,836337973657600916,939865920353104947,840952789051608159,6626664354827289,759592067762981515,304937091139991793,640340554468760282,929771576336969671,91596836953752738}

    Returns: "Possible"

  11. {95,29,87,96,21,90,2,4,82,85,87,27,94,31,86,28}

    Returns: "Impossible"

  12. {95,29,87,96,21,90,2,4,82,85,87,27,94,31,86,28,38}

    Returns: "Possible"

  13. {84,26,93,90,91,22,82,59,55,17,87,50,48,55,20,63,23,2,28,4,58,19,17,48,92,58,49,82,22,63,19,20,8,2,26,84,16,23,63,56,30,64,16,19,87,24,24,29,28}

    Returns: "Impossible"

  14. {84,26,93,90,91,22,82,59,55,17,87,50,48,55,20,63,23,2,28,4,58,19,17,48,92,58,49,82,22,63,19,20,8,2,26,84,16,23,63,56,30,64,16,19,87,24,24,29,28,12}

    Returns: "Possible"

  15. {5,33,89,29,10,32,49,47,33,16,65,93,33,34,93,33,33,13,21,5,5,17,32,73,93,21,34,59,64,93,65,73,65,34,64,1,85,89,65,97,64,81,10,5,77,81,81,9,8,29,47,8,59,89,1,33,49,33,81,21,81,53,21,85,21,81,81,69,29,49,1,9,21,89,33,33,13,93,37,89,49,73,29,85,49,59,89,43,81,65,4}

    Returns: "Impossible"

  16. {5,33,89,29,10,32,49,47,33,16,65,93,33,34,93,33,33,13,21,5,5,17,32,73,93,21,34,59,64,93,65,73,65,34,64,1,85,89,65,97,64,81,10,5,77,81,81,9,8,29,47,8,59,89,1,33,49,33,81,21,81,53,21,85,21,81,81,69,29,49,1,9,21,89,33,33,13,93,37,89,49,73,29,85,49,59,89,43,81,65,4,39}

    Returns: "Possible"

  17. {4,58,86,70,50,11,98,16,63,50,99,95,50,43,75,2,63,78,59,32,82,67,11,58,71,95,8,23,64,64,51,7,86,75,39,71,91,67,31,55,82,46,75,71,98,59,51,6,46,39,55,78,87,8,70,83,15,42,22,83,86,95,34,6,75,19,16,8,6,15,67}

    Returns: "Impossible"

  18. {4,58,86,70,50,11,98,16,63,50,99,95,50,43,75,2,63,78,59,32,82,67,11,58,71,95,8,23,64,64,51,7,86,75,39,71,91,67,31,55,82,46,75,71,98,59,51,6,46,39,55,78,87,8,70,83,15,42,22,83,86,95,34,6,75,19,16,8,6,15,67,36}

    Returns: "Possible"

  19. {93,37,71,64,2,7,2,44,69,54,86,45,85,2,30,13,55,95,93,87,100,12,87,39,70,100,13,78,20,23,93,95,39,31,93,78,2,38,29,92,76,87,12,52,15,61,46,7,63,31,14,68,95,52,16,20,32,30,22,85,71,60,7,60,54,100,54,61,28,31,12,22,69,92,60,4,69,28,53,69,44,4,14,94,23,46,30,47,14,4,16,22,61,13,22}

    Returns: "Impossible"

  20. {93,37,71,64,2,7,2,44,69,54,86,45,85,2,30,13,55,95,93,87,100,12,87,39,70,100,13,78,20,23,93,95,39,31,93,78,2,38,29,92,76,87,12,52,15,61,46,7,63,31,14,68,95,52,16,20,32,30,22,85,71,60,7,60,54,100,54,61,28,31,12,22,69,92,60,4,69,28,53,69,44,4,14,94,23,46,30,47,14,4,16,22,61,13,22,11}

    Returns: "Possible"

  21. {85,19,3,4,28,21,56,87,60,2,51,48,57,23,56,27,91,57,25,25,85,81,20,28,16,95,64,59,91,21,55,63,19,59,88,60,88,4,8,89,4,48,31,93,84,1,23,29,89,16,59,61,19,81,51,92,61,80,55,87,84,85,88,92,19,64,19,23,52}

    Returns: "Impossible"

  22. {85,19,3,4,28,21,56,87,60,2,51,48,57,23,56,27,91,57,25,25,85,81,20,28,16,95,64,59,91,21,55,63,19,59,88,60,88,4,8,89,4,48,31,93,84,1,23,29,89,16,59,61,19,81,51,92,61,80,55,87,84,85,88,92,19,64,19,23,52,99}

    Returns: "Possible"

  23. {90,10,43,34,67,50,50,1,74,4,62,20,31,63,4,19,4,91,2,19,67,59,2,90,75,66,18,26,8,64,91,22,18,54,75,27,50,59,54,8,18,55,4,63,34}

    Returns: "Impossible"

  24. {90,10,43,34,67,50,50,1,74,4,62,20,31,63,4,19,4,91,2,19,67,59,2,90,75,66,18,26,8,64,91,22,18,54,75,27,50,59,54,8,18,55,4,63,34,80}

    Returns: "Possible"

  25. {68,65,40,20,6,9,17,46,2,11,65,10,10,43,68,68,32,41,41,11,14,1,11,40,65,17,16,42,64,40,40,8,43,2,32,1,46,64,14,42,8,4,1,4}

    Returns: "Impossible"

  26. {68,65,40,20,6,9,17,46,2,11,65,10,10,43,68,68,32,41,41,11,14,1,11,40,65,17,16,42,64,40,40,8,43,2,32,1,46,64,14,42,8,4,1,4,87}

    Returns: "Possible"

  27. {83,39,43,2,77,23,75,39,83,79,55,81,53,23,35,91,57,51,29,11,99,21,16,17,75,47,91,61,41,61,8,25,77,15,32,23,3,75,71,23,39,31,13,53,11,17,31,11,27,17,79,85,5,61,67,13,51,63,55,15}

    Returns: "Impossible"

  28. {83,39,43,2,77,23,75,39,83,79,55,81,53,23,35,91,57,51,29,11,99,21,16,17,75,47,91,61,41,61,8,25,77,15,32,23,3,75,71,23,39,31,13,53,11,17,31,11,27,17,79,85,5,61,67,13,51,63,55,15,62}

    Returns: "Possible"

  29. {61,6,17,97,96,38,37,17,33,49,39,57,36,55,24,33,17,24,17,61,24,100,97,97,64,49,38,32,33,96,32,100,4,39,6,55,37,39,96}

    Returns: "Impossible"

  30. {61,6,17,97,96,38,37,17,33,49,39,57,36,55,24,33,17,24,17,61,24,100,97,97,64,49,38,32,33,96,32,100,4,39,6,55,37,39,96,11}

    Returns: "Possible"

  31. {222,639,73,853,934,900,708,80,631,349}

    Returns: "Impossible"

  32. {222,639,73,853,934,900,708,80,631,349,728}

    Returns: "Possible"

  33. {259,711,7,601,765,665,413,697,281,803,405,273,261}

    Returns: "Impossible"

  34. {259,711,7,601,765,665,413,697,281,803,405,273,261,768}

    Returns: "Possible"

  35. {624,490,617,888,80,223,137,383,713,991,510,991,989,393,585}

    Returns: "Impossible"

  36. {624,490,617,888,80,223,137,383,713,991,510,991,989,393,585,285}

    Returns: "Possible"

  37. {928,217,253,241,760,445,972,656}

    Returns: "Impossible"

  38. {928,217,253,241,760,445,972,656,838}

    Returns: "Possible"

  39. {912,278,755,700,281,373,191,916,725}

    Returns: "Impossible"

  40. {912,278,755,700,281,373,191,916,725,526}

    Returns: "Possible"

  41. {854,672,860,915,906,637}

    Returns: "Impossible"

  42. {854,672,860,915,906,637,146}

    Returns: "Possible"

  43. {182,660,820,310,374,25,368}

    Returns: "Impossible"

  44. {182,660,820,310,374,25,368,744}

    Returns: "Possible"

  45. {847,514,866,193,228,970,857,753,711,505,81,739,844}

    Returns: "Impossible"

  46. {847,514,866,193,228,970,857,753,711,505,81,739,844,370}

    Returns: "Possible"

  47. {311,380,358,636,233,242,299,736,630,996,507,880,736,687,952}

    Returns: "Impossible"

  48. {311,380,358,636,233,242,299,736,630,996,507,880,736,687,952,213}

    Returns: "Possible"

  49. {329,600,960,255,203}

    Returns: "Impossible"

  50. {329,600,960,255,203,691}

    Returns: "Possible"

  51. {784707860291605424,592401376590574073,922280450854029176,600099101288542786,351175407901301181,331516748435441281,864681565629361172,306229554808408216,601940526448881223,480407376121744738,21634407493539388,616034924395023226,508061902213562464,403800870521970079,437572856962196287,57115185775441161}

    Returns: "Impossible"

  52. {784707860291605424,592401376590574073,922280450854029176,600099101288542786,351175407901301181,331516748435441281,864681565629361172,306229554808408216,601940526448881223,480407376121744738,21634407493539388,616034924395023226,508061902213562464,403800870521970079,437572856962196287,57115185775441161,125645897544263168}

    Returns: "Possible"

  53. {134203651929306691,577853833239009059,657660021090816501,114071245204698164,628800087800305335,21477076994056198,979228964161105528,568537192632801045,513505540652855529,133784981045499380,761950781492382016,789759333110039790,312525000327346588,388135753577096416}

    Returns: "Impossible"

  54. {134203651929306691,577853833239009059,657660021090816501,114071245204698164,628800087800305335,21477076994056198,979228964161105528,568537192632801045,513505540652855529,133784981045499380,761950781492382016,789759333110039790,312525000327346588,388135753577096416,287004063637687376}

    Returns: "Possible"

  55. {960344206386033456,297356298858187653,58235504237221220,559706836619964993,677056879835764852,626921815836483982,675369761313978846,968074045036032772,67674174001635873,336205676953156136,257907217874442588,911087971557401057,280208069791176522,667617878770429226}

    Returns: "Impossible"

  56. {960344206386033456,297356298858187653,58235504237221220,559706836619964993,677056879835764852,626921815836483982,675369761313978846,968074045036032772,67674174001635873,336205676953156136,257907217874442588,911087971557401057,280208069791176522,667617878770429226,567067849122635959}

    Returns: "Possible"

  57. {920269492018942663,294021468680626384,32060838916828755,901414253093034580,128994026309349408,826681976093110862,863150427274120379,555331120122926793,879101292706690265,192621128007600620,406750765852671277,679826922720835444,127377313816014345,784392116522160108,109129778617587453,413219432827113049,547955538609308984}

    Returns: "Impossible"

  58. {920269492018942663,294021468680626384,32060838916828755,901414253093034580,128994026309349408,826681976093110862,863150427274120379,555331120122926793,879101292706690265,192621128007600620,406750765852671277,679826922720835444,127377313816014345,784392116522160108,109129778617587453,413219432827113049,547955538609308984,934482631982539112}

    Returns: "Possible"

  59. {838941180622666006,836561685120445014,832470210583634926,292805711802685913,344943228889699693,264585930983488159,447568849058332777}

    Returns: "Impossible"

  60. {838941180622666006,836561685120445014,832470210583634926,292805711802685913,344943228889699693,264585930983488159,447568849058332777,160419270701610969}

    Returns: "Possible"

  61. {725627763251886786,944757025238280910,181270860617808773,270759690567329587,526626963847036476,281981366026431912,564962620801296007,477506661740985332,450789623016284963,28877706725630683,44700090023961149,377335333126811333,593029553917013709,897486160220040360}

    Returns: "Impossible"

  62. {725627763251886786,944757025238280910,181270860617808773,270759690567329587,526626963847036476,281981366026431912,564962620801296007,477506661740985332,450789623016284963,28877706725630683,44700090023961149,377335333126811333,593029553917013709,897486160220040360,908419817003602526}

    Returns: "Possible"

  63. {604036739812805000,202417763741078991,947610641307382028,985664767555886551,856884990394125289,82155470927232454,161729392337981275,957709397161753607}

    Returns: "Impossible"

  64. {604036739812805000,202417763741078991,947610641307382028,985664767555886551,856884990394125289,82155470927232454,161729392337981275,957709397161753607,78073986739570752}

    Returns: "Possible"

  65. {819061492590794317,152280087038602953,383599496732893148,755919470503688338,989331929014227540,594582064688108738,216349184183383238,535419659260991208}

    Returns: "Impossible"

  66. {819061492590794317,152280087038602953,383599496732893148,755919470503688338,989331929014227540,594582064688108738,216349184183383238,535419659260991208,981402660330027887}

    Returns: "Possible"

  67. {497409053209748424,88409284934908237,853814110766122428,998829735586710136,686307207575385056,535232294823165646,667843882392654721}

    Returns: "Impossible"

  68. {497409053209748424,88409284934908237,853814110766122428,998829735586710136,686307207575385056,535232294823165646,667843882392654721,228770454995644630}

    Returns: "Possible"

  69. {193419313003592171,528086073698083065,120457700170910940,952517932681117243}

    Returns: "Impossible"

  70. {193419313003592171,528086073698083065,120457700170910940,952517932681117243,880082717573729667}

    Returns: "Possible"

  71. {934747340226132210,53437970618879571,121869264561702763,959484740498538602,928565731441956197,65062979662382950,587975333007315706,716409013957054449,20346383862104555,552785055437677640,726888084696871889,773934649885523173,806790557458671555,659228035785935708,220024686777554509,406498075120301646,505428600758426479,812740094919980413,908170818520091236,660301518461039817,825766998123475691,711413063221738705,429723867042192868,208607556926981460,569501633426857817,655704323266374383,580146101574564348,428966452931580157,466664426674293473,435359451082800877,706653271637387502,784826358936685128,67896719764087023,404274966589078266,348312703501519583,813533586093193315,82187121810573633,984943250225650132,950912225610612724,667444221696336229,464893235027581016,854520464971670482,345809431529847407,258691269391134068,773196599748933111,365949296187556345,168666974529811021,598608051097646835,50687302025908729,279854944978436182,425203902170077166,198998714501400028,244559306068839886,557354893887159250,88813267928662509,845243266701776707,182711417995806831,450457170137499228,168655517387804635,79660331286011713,658398531615044430,772713848916984277,970742579585649985,376442871560697668,852208305381594335,554833798526535640,844241389939117168,208558328286135116,775040136096871656,945128322697417198,297603990009886295,949897737333218941,425347663512013913,924703137033316056,118651154437174394,382368264154702591,756314941876818674,511503558647436399,836682333827792709,692738303201513543,974979379946932092,251281394648766178,895607478102808927,512078902686919115,264799641578627546,193352622399052516,776311353545762120,188608611670039744,150694813138444872,804638145951518194,821973243143474003,102002600513781213,170071396191295476,484339069572244039,679042208289070411,733336291941099747,164831624548259027,83571301888236774,1731528214883270,798432497983886827,696160043359048544,338856245857060062,4472768499910239,506563968648234867,589028155767904711,127758153713945169,608343651169790703,192774865622934231,501592626028509521,928570900179457279,272058123426674128,664298938171784807,375484394555738097,937760746105984996,780304988321407728,517935779372444615,297488409083743341,802709778481877704,798092791495754314,190023017911563504,347004487978272975,207462480397503449,89884722132035033,427639198410299344,269447204925037182,450652074769161814,373122941975048512,912692381198067559,805426372607254090,760044202223453435,281576551106562507,690495195143080513,300137603578935149,687891977501019872,663129539146691904,233898183971102957,842033638662813663,202057244623857350,915775222512046694,535859006118089571,284160993683651648,217312755632485851,648286776442936426,143252171185528530,738102307223685072,426942875863198555,890079171969750729,774369155403058655,38758231269542598,391080770732161395,534897957647128442,298888238534005096,368985734662934776,618466212989767005,816951757692485571,705717101911017182,591410760034259394,818137351870481106,162052538584536421,938043398318741230,447829670177885,722864625370119027,829956660255130229,85230665487954525,296481228304209506,293514226588116833,779445525219453793}

    Returns: "Impossible"

  72. {934747340226132210,53437970618879571,121869264561702763,959484740498538602,928565731441956197,65062979662382950,587975333007315706,716409013957054449,20346383862104555,552785055437677640,726888084696871889,773934649885523173,806790557458671555,659228035785935708,220024686777554509,406498075120301646,505428600758426479,812740094919980413,908170818520091236,660301518461039817,825766998123475691,711413063221738705,429723867042192868,208607556926981460,569501633426857817,655704323266374383,580146101574564348,428966452931580157,466664426674293473,435359451082800877,706653271637387502,784826358936685128,67896719764087023,404274966589078266,348312703501519583,813533586093193315,82187121810573633,984943250225650132,950912225610612724,667444221696336229,464893235027581016,854520464971670482,345809431529847407,258691269391134068,773196599748933111,365949296187556345,168666974529811021,598608051097646835,50687302025908729,279854944978436182,425203902170077166,198998714501400028,244559306068839886,557354893887159250,88813267928662509,845243266701776707,182711417995806831,450457170137499228,168655517387804635,79660331286011713,658398531615044430,772713848916984277,970742579585649985,376442871560697668,852208305381594335,554833798526535640,844241389939117168,208558328286135116,775040136096871656,945128322697417198,297603990009886295,949897737333218941,425347663512013913,924703137033316056,118651154437174394,382368264154702591,756314941876818674,511503558647436399,836682333827792709,692738303201513543,974979379946932092,251281394648766178,895607478102808927,512078902686919115,264799641578627546,193352622399052516,776311353545762120,188608611670039744,150694813138444872,804638145951518194,821973243143474003,102002600513781213,170071396191295476,484339069572244039,679042208289070411,733336291941099747,164831624548259027,83571301888236774,1731528214883270,798432497983886827,696160043359048544,338856245857060062,4472768499910239,506563968648234867,589028155767904711,127758153713945169,608343651169790703,192774865622934231,501592626028509521,928570900179457279,272058123426674128,664298938171784807,375484394555738097,937760746105984996,780304988321407728,517935779372444615,297488409083743341,802709778481877704,798092791495754314,190023017911563504,347004487978272975,207462480397503449,89884722132035033,427639198410299344,269447204925037182,450652074769161814,373122941975048512,912692381198067559,805426372607254090,760044202223453435,281576551106562507,690495195143080513,300137603578935149,687891977501019872,663129539146691904,233898183971102957,842033638662813663,202057244623857350,915775222512046694,535859006118089571,284160993683651648,217312755632485851,648286776442936426,143252171185528530,738102307223685072,426942875863198555,890079171969750729,774369155403058655,38758231269542598,391080770732161395,534897957647128442,298888238534005096,368985734662934776,618466212989767005,816951757692485571,705717101911017182,591410760034259394,818137351870481106,162052538584536421,938043398318741230,447829670177885,722864625370119027,829956660255130229,85230665487954525,296481228304209506,293514226588116833,779445525219453793,432508108795076617}

    Returns: "Possible"

  73. {490918291092988960,433445415583479989,618509923666855949,477522521778143173,193320050136106757,644949319701371859,382140849810456294,748660215914423464,965699375642093891,58970240504452562,259778274609299431,637888776292213373,64721307052423056,509033462131557842,281053106365633758,550911560635600674,870471939275142311,607306791281489534,56557188915314183,23562322638474061,803736838921733110,533851568725974563,654896852056136541,500771599046224145,526441176726117943,250581709932503675,199193937854869560,659306019937702667,35482235284061812,895533217375041760,16411296769967788,835593446279343520,247267209105245575,431770743161351780,768076623380969022,995061070489054382,211597815996140127,847009249036161179,186818553369632505,264761708856198548,268652874854608821,582267362187008561,724400144643814775,867038238167347469,183054930615840799,808389011289846853,699547195581457979,334460048726144943,949888018906517641,632476195830152100,256326843258742525,926182850703820476,707863178166856563,12255224453415378,448831254826649012,355928917361790098,520812198383379267,509750421309974035,950498346079134823,921056073589391239,303624122632158004,307984097059145079,235943667820949154,590443571158870779,783323068962166575,49850477346727337,605814962085487443,740714241246287156,60708053508619191,209997324134954433,100883309255131593,655771719311886123,726196529102760842,806180466548166604,146102890262902064,756122725357335734,331783391643222878,204348282824671137,429398585185926287,382023412311550500,262489365776829291,217472049346462133,109802794926111199,57558082540192511,949671233693784873,179298347052294908,895591923669631365,611819735222010026,29802743638325737,532295380406437812,940147990477803109,773700930500197066,225453372709354759,936728826193487183,398401364546090686,447699341115428629,226511276419499692,214137574634992787,9337485657687130,144876276013855692,60095251024034196,535918656190002710,999146247150398159,405856079288218180,383610386062760237,589178314304488833,976383008798103350,860563456063459326,252174946839109747,385654247295082362,851834566291658690,949983840353298695,480505650925058303,684169793114800066,970643363785736071,398997409402900574,207223428950425793,755246148211708116,580474410439610045,180777261477632453,988008632861568253,400949794430833263,705930779030147726,769295358875163283,763113833090672198,502498894082125817,462231649411542579,289082618710289683,474355940720242342,8320094508610538,595507515121971240,576052063851173585,689078428701177678,990691276611573943,876758251884190810,538903564708563778,330740437800454336,103934350393042286,851847320114567105,523550456099353056,353929592712184690,268487536983465976,326965755795873804,515864327444389584,742038567451997091,166901225065480881,994555442421894483,99438067514400867,980108131879932392,804828035124125642,615048901210152683,994144978514226454,318159206979770667,900792148341127116,102557391165532064,426075488712601339,998590815595513270,738560338320171676,848612965435263586,19022469847957529,857252195333664310,851504478114628883,15420203681720165,885598745650319625,907741364898754647,610044677474847972,551086656993062942,102259275700480231,646636417813342747,475510039099777293,142589914555873953,778056689801655777,798375005009957819,599984280373545760,916879859072390392,548710611238410115,399657937485748278,588860691019895868,650435603990513860}

    Returns: "Impossible"

  74. {490918291092988960,433445415583479989,618509923666855949,477522521778143173,193320050136106757,644949319701371859,382140849810456294,748660215914423464,965699375642093891,58970240504452562,259778274609299431,637888776292213373,64721307052423056,509033462131557842,281053106365633758,550911560635600674,870471939275142311,607306791281489534,56557188915314183,23562322638474061,803736838921733110,533851568725974563,654896852056136541,500771599046224145,526441176726117943,250581709932503675,199193937854869560,659306019937702667,35482235284061812,895533217375041760,16411296769967788,835593446279343520,247267209105245575,431770743161351780,768076623380969022,995061070489054382,211597815996140127,847009249036161179,186818553369632505,264761708856198548,268652874854608821,582267362187008561,724400144643814775,867038238167347469,183054930615840799,808389011289846853,699547195581457979,334460048726144943,949888018906517641,632476195830152100,256326843258742525,926182850703820476,707863178166856563,12255224453415378,448831254826649012,355928917361790098,520812198383379267,509750421309974035,950498346079134823,921056073589391239,303624122632158004,307984097059145079,235943667820949154,590443571158870779,783323068962166575,49850477346727337,605814962085487443,740714241246287156,60708053508619191,209997324134954433,100883309255131593,655771719311886123,726196529102760842,806180466548166604,146102890262902064,756122725357335734,331783391643222878,204348282824671137,429398585185926287,382023412311550500,262489365776829291,217472049346462133,109802794926111199,57558082540192511,949671233693784873,179298347052294908,895591923669631365,611819735222010026,29802743638325737,532295380406437812,940147990477803109,773700930500197066,225453372709354759,936728826193487183,398401364546090686,447699341115428629,226511276419499692,214137574634992787,9337485657687130,144876276013855692,60095251024034196,535918656190002710,999146247150398159,405856079288218180,383610386062760237,589178314304488833,976383008798103350,860563456063459326,252174946839109747,385654247295082362,851834566291658690,949983840353298695,480505650925058303,684169793114800066,970643363785736071,398997409402900574,207223428950425793,755246148211708116,580474410439610045,180777261477632453,988008632861568253,400949794430833263,705930779030147726,769295358875163283,763113833090672198,502498894082125817,462231649411542579,289082618710289683,474355940720242342,8320094508610538,595507515121971240,576052063851173585,689078428701177678,990691276611573943,876758251884190810,538903564708563778,330740437800454336,103934350393042286,851847320114567105,523550456099353056,353929592712184690,268487536983465976,326965755795873804,515864327444389584,742038567451997091,166901225065480881,994555442421894483,99438067514400867,980108131879932392,804828035124125642,615048901210152683,994144978514226454,318159206979770667,900792148341127116,102557391165532064,426075488712601339,998590815595513270,738560338320171676,848612965435263586,19022469847957529,857252195333664310,851504478114628883,15420203681720165,885598745650319625,907741364898754647,610044677474847972,551086656993062942,102259275700480231,646636417813342747,475510039099777293,142589914555873953,778056689801655777,798375005009957819,599984280373545760,916879859072390392,548710611238410115,399657937485748278,588860691019895868,650435603990513860,658040164447839959}

    Returns: "Possible"

  75. {951453049788604098,867232202498850606,142345206427952943,830349449700632183,753318790690686331,371592339844261997,233658522674263863,957339152227869778,278249208251281362,326207354078636611,250564686061971944,280238308230954860,916129768115279993,597208588075390270,828647861982810907,23642108393935674,75030485332085822,905505510017463048,493407341109008744,660382112290537180,883695303472940230,959688074372866422,218916786046497652,627135966255547108,855091399872131863,996150142518948882,684655444113303173,756941899553084306}

    Returns: "Impossible"

  76. {951453049788604098,867232202498850606,142345206427952943,830349449700632183,753318790690686331,371592339844261997,233658522674263863,957339152227869778,278249208251281362,326207354078636611,250564686061971944,280238308230954860,916129768115279993,597208588075390270,828647861982810907,23642108393935674,75030485332085822,905505510017463048,493407341109008744,660382112290537180,883695303472940230,959688074372866422,218916786046497652,627135966255547108,855091399872131863,996150142518948882,684655444113303173,756941899553084306,8543921146866721}

    Returns: "Possible"

  77. {718347564666874054,131844081649528080,955322229105432743,225482318594747545,282582240846074146,284352796592347964,847861838028686022,705103258559668349,706286679355394673,832342379988378933,370949100729254332,227728960312300913,547485045306358804,137362159020659260,575258474350194241,100768065503559934,219071929724944413,842812381387205416,984671130807538962,664987726402277007,827324757826117472,395304512446152312,978625932494862998,663419897712077008,536999301520106545,855898218478156433,123660141963691448,88841486814078748,983520936729665601,949760196866470143,954808474148100736,796062692494529220,571659795893059266,841716630704528823,828178325382524274,243706735775336598,546942290284275045,653281046326335313,409592278582951953,432319006689056111,820913195310194090,429721889596025746,77503708242394736,983243686276738891,972251350512639878,537825603626128511,950965551166590393,512974398446140423,360747349445177447,993202168102827887}

    Returns: "Impossible"

  78. {718347564666874054,131844081649528080,955322229105432743,225482318594747545,282582240846074146,284352796592347964,847861838028686022,705103258559668349,706286679355394673,832342379988378933,370949100729254332,227728960312300913,547485045306358804,137362159020659260,575258474350194241,100768065503559934,219071929724944413,842812381387205416,984671130807538962,664987726402277007,827324757826117472,395304512446152312,978625932494862998,663419897712077008,536999301520106545,855898218478156433,123660141963691448,88841486814078748,983520936729665601,949760196866470143,954808474148100736,796062692494529220,571659795893059266,841716630704528823,828178325382524274,243706735775336598,546942290284275045,653281046326335313,409592278582951953,432319006689056111,820913195310194090,429721889596025746,77503708242394736,983243686276738891,972251350512639878,537825603626128511,950965551166590393,512974398446140423,360747349445177447,993202168102827887,644974066582995725}

    Returns: "Possible"

  79. {746161052752145704,102186418184962976,651975247848324177,832669085378119516,914226658512736326,363594808639255259,40361829506000153,403647454829781603,359153372202474689,367574979537716790,142954246780629361,404200361855069298,67310415958023608,336048676046600081,260593805543199906,250532069774949461,367205569019880637,551790841582305288,950173219665707933,691866943751017596,499363699865352078,227805533637847412,592920357260261451,322603711693761417,561040601343644970,286205683148742096,404069915423984134,643865715150368008,355331851229433131,107348629078074649,427196000254152880,808951564950834632,610769040336773205,358888599998235885,394788954526441889,493581180587911482,759627596007012972,175186703284884757,961836630959295891,102061443032060165,336851937020682126,305397034715002339,214447851183753591,116612251221736835,724598486036884280,187532741464714455,709980015270691150,814964097919557835,417301848611633610,999446368860963133,567003999757310250,121444233034750359,525660396036505581,12756012146361307,3058006436251957,454451633057175009,452722986598713835,828516522098363078,398708262143213998,831354252946916108,378075021395252591,4217020548446244,827132440888918544,184082051305352304,11862439362850829,313845131305359098,704823257779296468,42879529299209149,139289993485485564,714265727471858622,13279910963694244,200975344287284586,84529110664917305,878054967261838856,142498690456175412,215725832954628824,511542578910146076,166471672797913513,8551439119397217,155669711797844684,661492196870707160,146830530171928856,484666015128311363,813191464821593687,229384610482752242,278542049056428789,207018632388980702,935569126686130027,710462003731479028,922277057477297048,179970940997680107,268675910994435151,66971337036507698,638756078287751045,916696268294077054,466322674852330901,880989530615502473,679265487537611350,196234954081578182,513032133943947253,840258191550366066,830925045434636984}

    Returns: "Impossible"

  80. {746161052752145704,102186418184962976,651975247848324177,832669085378119516,914226658512736326,363594808639255259,40361829506000153,403647454829781603,359153372202474689,367574979537716790,142954246780629361,404200361855069298,67310415958023608,336048676046600081,260593805543199906,250532069774949461,367205569019880637,551790841582305288,950173219665707933,691866943751017596,499363699865352078,227805533637847412,592920357260261451,322603711693761417,561040601343644970,286205683148742096,404069915423984134,643865715150368008,355331851229433131,107348629078074649,427196000254152880,808951564950834632,610769040336773205,358888599998235885,394788954526441889,493581180587911482,759627596007012972,175186703284884757,961836630959295891,102061443032060165,336851937020682126,305397034715002339,214447851183753591,116612251221736835,724598486036884280,187532741464714455,709980015270691150,814964097919557835,417301848611633610,999446368860963133,567003999757310250,121444233034750359,525660396036505581,12756012146361307,3058006436251957,454451633057175009,452722986598713835,828516522098363078,398708262143213998,831354252946916108,378075021395252591,4217020548446244,827132440888918544,184082051305352304,11862439362850829,313845131305359098,704823257779296468,42879529299209149,139289993485485564,714265727471858622,13279910963694244,200975344287284586,84529110664917305,878054967261838856,142498690456175412,215725832954628824,511542578910146076,166471672797913513,8551439119397217,155669711797844684,661492196870707160,146830530171928856,484666015128311363,813191464821593687,229384610482752242,278542049056428789,207018632388980702,935569126686130027,710462003731479028,922277057477297048,179970940997680107,268675910994435151,66971337036507698,638756078287751045,916696268294077054,466322674852330901,880989530615502473,679265487537611350,196234954081578182,513032133943947253,840258191550366066,830925045434636984,573209548286444346}

    Returns: "Possible"

  81. {480554993291828675,642065398957765919,750346902965058490,60878299186462053,332516022068397399,205350074011578187,34963324126167475,339690658476027864,634006960491092876,806772338299806126,880501413812846853,4571759475351881,661964089347656614,503461079100808703,801366105669977905,885777309807015210,617535546071755164,715699597546124132,851322650626242438,686069031482535762,390590279691652007,962071063260567814,359848612615122251,827724867660886886,228667324559479140,505150315018145731,32758703799418124,873215708150265641,938011991956173623,151789720226138421,702361035097143254,436393933800571731,40541592758553407,654320391692506935,142285338260178385,126523269217740221,275565401628251063,439606591120786309,630370197626430859,250778012253037454,739860992059196744,138579525372039441,289950447193029912,632219767157415195,330139989040009027,811113498835975616,597666282059676937,532262551151694640,930581534989596575,746091194200470526,752969454319839001,570469756751601585,207972979365493619,285049822090164540,554585919470428514,653003089281026548,913530709839283521,966793883400218598,134610949614487022,114806458862716838,745139341603422141,710693450109325062,765642914363834260,958636513333543901,7471097455280934,83739019062052098,996965654191574499}

    Returns: "Impossible"

  82. {480554993291828675,642065398957765919,750346902965058490,60878299186462053,332516022068397399,205350074011578187,34963324126167475,339690658476027864,634006960491092876,806772338299806126,880501413812846853,4571759475351881,661964089347656614,503461079100808703,801366105669977905,885777309807015210,617535546071755164,715699597546124132,851322650626242438,686069031482535762,390590279691652007,962071063260567814,359848612615122251,827724867660886886,228667324559479140,505150315018145731,32758703799418124,873215708150265641,938011991956173623,151789720226138421,702361035097143254,436393933800571731,40541592758553407,654320391692506935,142285338260178385,126523269217740221,275565401628251063,439606591120786309,630370197626430859,250778012253037454,739860992059196744,138579525372039441,289950447193029912,632219767157415195,330139989040009027,811113498835975616,597666282059676937,532262551151694640,930581534989596575,746091194200470526,752969454319839001,570469756751601585,207972979365493619,285049822090164540,554585919470428514,653003089281026548,913530709839283521,966793883400218598,134610949614487022,114806458862716838,745139341603422141,710693450109325062,765642914363834260,958636513333543901,7471097455280934,83739019062052098,996965654191574499,733784657810492429}

    Returns: "Possible"

  83. {336892519764341656,452657675934923816,626453873434876557,466824304198967940,878126902310018013,765710411050027769,634791506361114014,735187569492408664,607617784440606591,168058113695150341,778857147948560717,275414000568916685,551837647395329193,652371652561499630,452323684109621125,297313559676228019,887386004267721474,902881922349691036,189718318000750393,187327193397563396,953558210261892852,435771281118754321,385598824757308495,990192114478165991,762487150952398591,276430892668497852,123220165421259131,418117314304709571,152211555859554224,718281051882330526,233463660093317531,409093329836063989,52608084352852611,817271659518367478,639760304733839793,932581209864964716,904623809810323753,583050427348077556,426753153480362115,944062050147971698,266322106438800564,102943400465450368,452933071047422080,624425325948359698,621301516415909890,260566949669215359,565270758677617800,717643158429095955,982275716197408400,381862429165434613,150110391783884142,309260750794681312,719785405511982212,697617633043675214,278105551174319338,472747181090572499,162407414057599071,666179009870944844,432541339811725652,609493892817412964,555324660190833466,528092148508498576,445136043114151903,955893847755069006,59466382010678855,366188822818540533,995785006282761284,959561124022130420,371319071252911376,500755545017516550,400500992221132872,898909162136855171,267465355754226321,629955237215651742,560232131235694289,603536186655816989,264137771428757362,141658772070054171,575066804446595016,686407819647185950,639469134456726073,594473618258021472,459521034430285697,745714776869256149,406376431697825574,538417373349899733,607875738165970025,992471639243067913,500566783780078996,12332234662479068,990970995127490984,170036378699211945,768858770290288530,429137753838412808,319220450916143708,609864546199162241,207079900682058018,959288946796713981,965426298603697245,954361158664325561,887946839058211312,508532611437904206,450173176924030059,469337529689954905,139666384199694953,289874173797972361,965728910951976054,847612757482781961,858905250907850336,135760061293457750,557247074524168090,536281582926578252,366970866424356794,445281179046496318,481920614086585010,718589036946745785,156837903958528872,595352110405397994,512217779520174526,913190372356907448,629529396936975830,382270831865720931,783511877645177470,405648337401686406,685710407798322197,727981732725879499,982468179847525630,888268332951310885,878156066056824193,845288595836207700,846461649589043653,378433481849099702,279979054347619460,917891922743582588,659678263051930328,478021268673236115,366644278341410917,908462131992373010,328896186236095738,707387827353986630,701918064542661139,862262611580156408,489470481770060735,972081078371167877,171534396568615338,796644787436492488,550455527428035671,720692344420625967,415826527883816711,162236476806553295,763336025282722819,904077983033384845,716900564065953923,676126320132396230,730788336273726059}

    Returns: "Impossible"

  84. {336892519764341656,452657675934923816,626453873434876557,466824304198967940,878126902310018013,765710411050027769,634791506361114014,735187569492408664,607617784440606591,168058113695150341,778857147948560717,275414000568916685,551837647395329193,652371652561499630,452323684109621125,297313559676228019,887386004267721474,902881922349691036,189718318000750393,187327193397563396,953558210261892852,435771281118754321,385598824757308495,990192114478165991,762487150952398591,276430892668497852,123220165421259131,418117314304709571,152211555859554224,718281051882330526,233463660093317531,409093329836063989,52608084352852611,817271659518367478,639760304733839793,932581209864964716,904623809810323753,583050427348077556,426753153480362115,944062050147971698,266322106438800564,102943400465450368,452933071047422080,624425325948359698,621301516415909890,260566949669215359,565270758677617800,717643158429095955,982275716197408400,381862429165434613,150110391783884142,309260750794681312,719785405511982212,697617633043675214,278105551174319338,472747181090572499,162407414057599071,666179009870944844,432541339811725652,609493892817412964,555324660190833466,528092148508498576,445136043114151903,955893847755069006,59466382010678855,366188822818540533,995785006282761284,959561124022130420,371319071252911376,500755545017516550,400500992221132872,898909162136855171,267465355754226321,629955237215651742,560232131235694289,603536186655816989,264137771428757362,141658772070054171,575066804446595016,686407819647185950,639469134456726073,594473618258021472,459521034430285697,745714776869256149,406376431697825574,538417373349899733,607875738165970025,992471639243067913,500566783780078996,12332234662479068,990970995127490984,170036378699211945,768858770290288530,429137753838412808,319220450916143708,609864546199162241,207079900682058018,959288946796713981,965426298603697245,954361158664325561,887946839058211312,508532611437904206,450173176924030059,469337529689954905,139666384199694953,289874173797972361,965728910951976054,847612757482781961,858905250907850336,135760061293457750,557247074524168090,536281582926578252,366970866424356794,445281179046496318,481920614086585010,718589036946745785,156837903958528872,595352110405397994,512217779520174526,913190372356907448,629529396936975830,382270831865720931,783511877645177470,405648337401686406,685710407798322197,727981732725879499,982468179847525630,888268332951310885,878156066056824193,845288595836207700,846461649589043653,378433481849099702,279979054347619460,917891922743582588,659678263051930328,478021268673236115,366644278341410917,908462131992373010,328896186236095738,707387827353986630,701918064542661139,862262611580156408,489470481770060735,972081078371167877,171534396568615338,796644787436492488,550455527428035671,720692344420625967,415826527883816711,162236476806553295,763336025282722819,904077983033384845,716900564065953923,676126320132396230,730788336273726059,260401740229860375}

    Returns: "Possible"

  85. {235708253348284948,736651078147174236,379175507419032424,976447411435548028,515504283935568163,789648565917495992,693290166253792828,118202459205424795,952396136264361221,634932908373539786,477693412953757312,513377575640315420,758818955102709193,982116547725972014,526117981785684761,431159907609929167,156232412303638149,149164129456255335,637237801338012702,887056070029247474,801016858017570690,777309830705356744,278971235161321790,918587082503988221,813312026183757079,396101907046592893,803296379334932779,795307752434657936,984493332004478888,747383235143203350,944628189985630717,383712685587195500,311604078580530133,521596091016022030,77566567163428433,637585849961361454,406343798192564128,646116851909863411,891018750997609907,959770075564849514,636666409361004675,248667873013042393,195847289297472408,660241811789335278,377488674094057996,296459411190267946,966935028939787880,27357091474920882,174966643302969096,329210657473138083,968026245408459264,585911230371189691,825242492833548198,194127732507080984,97729119320141816,539187580910124062,135666124143415033,742305534631199596}

    Returns: "Impossible"

  86. {235708253348284948,736651078147174236,379175507419032424,976447411435548028,515504283935568163,789648565917495992,693290166253792828,118202459205424795,952396136264361221,634932908373539786,477693412953757312,513377575640315420,758818955102709193,982116547725972014,526117981785684761,431159907609929167,156232412303638149,149164129456255335,637237801338012702,887056070029247474,801016858017570690,777309830705356744,278971235161321790,918587082503988221,813312026183757079,396101907046592893,803296379334932779,795307752434657936,984493332004478888,747383235143203350,944628189985630717,383712685587195500,311604078580530133,521596091016022030,77566567163428433,637585849961361454,406343798192564128,646116851909863411,891018750997609907,959770075564849514,636666409361004675,248667873013042393,195847289297472408,660241811789335278,377488674094057996,296459411190267946,966935028939787880,27357091474920882,174966643302969096,329210657473138083,968026245408459264,585911230371189691,825242492833548198,194127732507080984,97729119320141816,539187580910124062,135666124143415033,742305534631199596,797980906366067233}

    Returns: "Possible"

  87. {475452717231343628,268516000356625782,813436198904104002,618920893725881391,852954699176124614,320238339837328331,270907671625671449,812523675878329843,90795390732982698,974776301167058377,698860095568999430,320318356111978992,330773824234097452,297384497360657675,396782750492728230,823054462400297700,847595735647564250,737111832938291352,733344722699786987,188572328665984534,192990579489760721,751554696366325846,359748223735243505,421581053746966209,231171331977365959,442827832886033311,50436245152568219,204979604756240871,52076610277694457,593111219131033742,982927748233544663,626614981864756364,102891814840485437,910538312006595914,130104651930692871,801376348407356409,539993743337284514,635959178116125866,569304111239275698,74405391204270825,595380168034616364,347858170090343366,859254502503038298,836160370283315213,652876706836413090,254801934917982423,782460039659240692,314231547594842730,194025860401113135,338743156472887657,681483365778183791,466285085520115366,164605112401622327,698154155857754793,888475400842302886,396087572038478476,518146233259805083,841561418510392528,759548264692693307,719355261043300875,93913213637158382,384666034407487616,994641886059221422,449015600493557819,769774617695810291,476814144886236089,416173480906457919,713050216712714449,967340729951034934,209482473238741374,965346120618477023,782977273880675369,819251668228335381,509603536551776132,341085196944691648,132809211886496386,415762385429267208,950373686960970682,366138715966764635,967509981006069812,148301183425193578,953201207851711867,769925366748921056,28360040242641649,204596725173859872,706106077067818865,957707455109858591,644320158579642325,602991761783205416,950041123116703394,674398247776286883,72744941194168449,904152376396665379,249998032578075967,354596444809616358,687700311988126437,65963140098184199,950888081576168235,761556774920791258,157564185209585170,191727953754258499,14443099487892801,697857635502798710,71672367322559281,517355171640041621,747453777743675442,781163304619370391,10352135138872819,808285290777798910,633225476843962973,343647472641757305,956009752783438308,427280838827076509,51320007889713708,130423414277397824}

    Returns: "Impossible"

  88. {475452717231343628,268516000356625782,813436198904104002,618920893725881391,852954699176124614,320238339837328331,270907671625671449,812523675878329843,90795390732982698,974776301167058377,698860095568999430,320318356111978992,330773824234097452,297384497360657675,396782750492728230,823054462400297700,847595735647564250,737111832938291352,733344722699786987,188572328665984534,192990579489760721,751554696366325846,359748223735243505,421581053746966209,231171331977365959,442827832886033311,50436245152568219,204979604756240871,52076610277694457,593111219131033742,982927748233544663,626614981864756364,102891814840485437,910538312006595914,130104651930692871,801376348407356409,539993743337284514,635959178116125866,569304111239275698,74405391204270825,595380168034616364,347858170090343366,859254502503038298,836160370283315213,652876706836413090,254801934917982423,782460039659240692,314231547594842730,194025860401113135,338743156472887657,681483365778183791,466285085520115366,164605112401622327,698154155857754793,888475400842302886,396087572038478476,518146233259805083,841561418510392528,759548264692693307,719355261043300875,93913213637158382,384666034407487616,994641886059221422,449015600493557819,769774617695810291,476814144886236089,416173480906457919,713050216712714449,967340729951034934,209482473238741374,965346120618477023,782977273880675369,819251668228335381,509603536551776132,341085196944691648,132809211886496386,415762385429267208,950373686960970682,366138715966764635,967509981006069812,148301183425193578,953201207851711867,769925366748921056,28360040242641649,204596725173859872,706106077067818865,957707455109858591,644320158579642325,602991761783205416,950041123116703394,674398247776286883,72744941194168449,904152376396665379,249998032578075967,354596444809616358,687700311988126437,65963140098184199,950888081576168235,761556774920791258,157564185209585170,191727953754258499,14443099487892801,697857635502798710,71672367322559281,517355171640041621,747453777743675442,781163304619370391,10352135138872819,808285290777798910,633225476843962973,343647472641757305,956009752783438308,427280838827076509,51320007889713708,130423414277397824,424090933063403087}

    Returns: "Possible"

  89. {374449704980535443,129869278175112464,494233310511335320,94866539332428007,743781722663313941,675149855025975791,133410393759722620,916358097966767886,510770762925587811,876541971930507437,589958275515246970,231272397043696267,649014680665358051,224224460092436189,30526218292520101,822237907409004911,114888613137438836,158018700995348144,809844008290739178,274712522471732998,163145869718634847,465694705173445621,822475369834231938,896347930626141889,703028228806838519,120676061863388673,925347001161434611,74498413075045697,163815144827760586,737891072954048119,490138608248346830}

    Returns: "Impossible"

  90. {374449704980535443,129869278175112464,494233310511335320,94866539332428007,743781722663313941,675149855025975791,133410393759722620,916358097966767886,510770762925587811,876541971930507437,589958275515246970,231272397043696267,649014680665358051,224224460092436189,30526218292520101,822237907409004911,114888613137438836,158018700995348144,809844008290739178,274712522471732998,163145869718634847,465694705173445621,822475369834231938,896347930626141889,703028228806838519,120676061863388673,925347001161434611,74498413075045697,163815144827760586,737891072954048119,490138608248346830,561740597055599414}

    Returns: "Possible"

  91. {16753945781855366,318761496454227295,616848379212881346,444126969910230482,400953313207119208,169840349407634012,824907758916953597,665173976451115123,143333449401360999,951255421333961036,327679569658866775,645605023115999628,499796723669492016,465070967747928029,893626664989222792,399732414328430825,345787811533449158,548594058985954065,121296433922263515,137462067739220707,910637876714358577,372082623849775588,33498305154993714,106837530352711471,363627860293605995,56153859118613497,176922834910956174,919488967944759619,698673301497599266,40859528886706493,777700620063373759,474368997312975778,818455106645654118,403664645357600465,736466319025699342,157699536156160584,921003411891085830,423363416498434523,434003419816615129,216001912613760249,458703545032465021,884063757978072079,804271984319123915,265200930620855729,756141155805753510,241005901739412921,87923319140903687,838688503465930934,113455402436349289,828431759506262102,29128625724746663,914322973615191366,951487101575480224,326576159407859387,710665184304000025,951093235449232149,844407752021494894,731696157649028119,254824313136433701,686606542124675879,129879829101406152,255194375572183164,240005516586997122,984312588886136937,985153178075820647,717379002720834674,5967444570272435,367335376360531025,268866749039502599,939548081613631964,382874026346992500,137741109273582469,895001834200593743,927017173961728899,365772752213296192,675984885352098257,450913122013992074,132493282221158814,991488618811579859,376995462954141523,882514641271128002,875972457108657798,112228308181370334,52961059753684681,100052537692177706,149308672285866931,350179535838266234,747699839229159631,236239933148650420,36514108754445672,761169000197878583,668413804781337695,918442394075810386,996611950755273391,158425983290165962,354478524508490044,666342260402058739,425414596661400085,160967046678862920,990403770566047777,933935972607148929,359576338703045727,625056969044510059,584490504483725989,274662708004778934,280579028161261195,684778415649611651,291473447364291376,337172079284125457,894335531787601168,650901617324224377,410138814298057671,241904753147045696,773181268246940483,763134594501736741,870973780771426375,328743092679014195,498351390341550241,961349933768271775,669961138014834113,2354774064064066,428186679064197787,318891390151687154,346954537968924402,407423423790826008,61739525580057523,259030780557674023,393794148856754084,670231032940197121,981847985272309390,191708988081565107,246795845570683931,691007630564026248,295527516353493309,626031475675594621,613131897472929024,564297446362108738,190462333443690777,424061906039930790,344275880272883548,289545132054302444,337592279612117455,793242522360137650,684784562127237463,987537076921747248,853048468371041373,638899437952848374,452981225591064448,123330919782764762,245634314267426004,178149132622689778,720638261171703751,193976118724722602,930047766751340330,803097347238490566,43168177777373143,105878251714658987,548600294344738830,359470002390819890,187813095840544310,505151995073152876,276411138516542884,106502430629493013,314320386441765824,497770173700105234,224375681327257730,137251129209584102,758493715185849503,178480683708211760,530125572046741493,21549177452814708,36846979614264507,510056563916892500,766142105071474609,811891234114398681,354790837227290068,629709048865674155,733211174849113883,815936211286351994,120153684667295031,322350825385325422,932884183608884954,389823103365967592,550945414441664258,255602498001305465,26007258716268500,840099949424307516,666357493582552373,691599621353760853,545484949819280279,647141903800849804,813166412371845736,559423340419349952,931854889410812484,139858050193708524,617235464808521527,694467708995424730,393680095516476337,130509628834992969,983223493928451710,475547554736858063,150112123412007727,999806591515457426,905581215903636026,732098011692201220,578573739678649359,594952284817965590,250943068215541570,140593962354135285,1809077889782768,643491450346096997,851089600155417288,867493225314992597,698410576650792684,31531393436937231,172559510092182715,773906231570744041,927114366068064179,213816524044389130,649112068857067481,830732855747627110,721865938924434303,114984078926596842,974124309819118945,507363378843971959,318855339539589026,572999715702241750,835133513032531241,793859954817724537,456667909786492108,291298220622889472,887139110965835032,42623964056024932,215928090779642069,805486176824750818,222544821721917960,877051809837209016,129500231434004566,955801284604348091,954836193347489439,212617627178492812,701906980797990559,865716345233668486,210165276903079101,799869008635983332,705643682977693750,805679829265601226,315374933587557187,331711146693970031,236289266957807567,218030767972406610,95850175455510560,897873843201832860,929657897778078885,13747475487578704,604773888607054945,983060931734099271,768592097989282293,267793725354995685,5921349511503393,326015688005700047,789203983418446344,149770239815895415,468479841078167446,49089220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    Returns: "Impossible"

  92. {16753945781855366,318761496454227295,616848379212881346,444126969910230482,400953313207119208,169840349407634012,824907758916953597,665173976451115123,143333449401360999,951255421333961036,327679569658866775,645605023115999628,499796723669492016,465070967747928029,893626664989222792,399732414328430825,345787811533449158,548594058985954065,121296433922263515,137462067739220707,910637876714358577,372082623849775588,33498305154993714,106837530352711471,363627860293605995,56153859118613497,176922834910956174,919488967944759619,698673301497599266,40859528886706493,777700620063373759,474368997312975778,818455106645654118,403664645357600465,736466319025699342,157699536156160584,921003411891085830,423363416498434523,434003419816615129,216001912613760249,458703545032465021,884063757978072079,804271984319123915,265200930620855729,756141155805753510,241005901739412921,87923319140903687,838688503465930934,113455402436349289,828431759506262102,29128625724746663,914322973615191366,951487101575480224,326576159407859387,710665184304000025,951093235449232149,844407752021494894,731696157649028119,254824313136433701,686606542124675879,129879829101406152,255194375572183164,240005516586997122,984312588886136937,985153178075820647,717379002720834674,5967444570272435,367335376360531025,268866749039502599,939548081613631964,382874026346992500,137741109273582469,895001834200593743,927017173961728899,365772752213296192,675984885352098257,450913122013992074,132493282221158814,991488618811579859,376995462954141523,882514641271128002,875972457108657798,112228308181370334,52961059753684681,100052537692177706,149308672285866931,350179535838266234,747699839229159631,236239933148650420,36514108754445672,761169000197878583,668413804781337695,918442394075810386,996611950755273391,158425983290165962,354478524508490044,666342260402058739,425414596661400085,160967046678862920,990403770566047777,933935972607148929,359576338703045727,625056969044510059,584490504483725989,274662708004778934,280579028161261195,684778415649611651,291473447364291376,337172079284125457,894335531787601168,650901617324224377,410138814298057671,241904753147045696,773181268246940483,763134594501736741,870973780771426375,328743092679014195,498351390341550241,961349933768271775,669961138014834113,2354774064064066,428186679064197787,318891390151687154,346954537968924402,407423423790826008,61739525580057523,259030780557674023,393794148856754084,670231032940197121,981847985272309390,191708988081565107,246795845570683931,691007630564026248,295527516353493309,626031475675594621,613131897472929024,564297446362108738,190462333443690777,424061906039930790,344275880272883548,289545132054302444,337592279612117455,793242522360137650,684784562127237463,987537076921747248,853048468371041373,638899437952848374,452981225591064448,123330919782764762,245634314267426004,178149132622689778,720638261171703751,193976118724722602,930047766751340330,803097347238490566,43168177777373143,105878251714658987,548600294344738830,359470002390819890,187813095840544310,505151995073152876,276411138516542884,106502430629493013,314320386441765824,497770173700105234,224375681327257730,137251129209584102,758493715185849503,178480683708211760,530125572046741493,21549177452814708,36846979614264507,510056563916892500,766142105071474609,811891234114398681,354790837227290068,629709048865674155,733211174849113883,815936211286351994,120153684667295031,322350825385325422,932884183608884954,389823103365967592,550945414441664258,255602498001305465,26007258716268500,840099949424307516,666357493582552373,691599621353760853,545484949819280279,647141903800849804,813166412371845736,559423340419349952,931854889410812484,139858050193708524,617235464808521527,694467708995424730,393680095516476337,130509628834992969,983223493928451710,475547554736858063,150112123412007727,999806591515457426,905581215903636026,732098011692201220,578573739678649359,594952284817965590,250943068215541570,140593962354135285,1809077889782768,643491450346096997,851089600155417288,867493225314992597,698410576650792684,31531393436937231,172559510092182715,773906231570744041,927114366068064179,213816524044389130,649112068857067481,830732855747627110,721865938924434303,114984078926596842,974124309819118945,507363378843971959,318855339539589026,572999715702241750,835133513032531241,793859954817724537,456667909786492108,291298220622889472,887139110965835032,42623964056024932,215928090779642069,805486176824750818,222544821721917960,877051809837209016,129500231434004566,955801284604348091,954836193347489439,212617627178492812,701906980797990559,865716345233668486,210165276903079101,799869008635983332,705643682977693750,805679829265601226,315374933587557187,331711146693970031,236289266957807567,218030767972406610,95850175455510560,897873843201832860,929657897778078885,13747475487578704,604773888607054945,983060931734099271,768592097989282293,267793725354995685,5921349511503393,326015688005700047,789203983418446344,149770239815895415,468479841078167446,49089220025668597,966458004980071272,337671062878051951,91577465081940440,484021146383641573,870407365797310308,659928451671710658,322168979194638074,553868888306547673,118882372091923680,18080797844406056,922323301915885435,893244761420846323,667654526837249961,257126148294599848,398261980123582053,582222852983641203,741906196680794321,345553398202528261,888329155302746950,433808336104606930,178516189917832588,785772256933986320,516708493388990268,123109804187143154,969309052987326904,917592444043804722,392515277383062389,636948459845239048,24844425269138219,223361158936711624,262346859622918251,821361592214610792,719523267560596777,176136136588055953,457964518652068617,776093164304429732,70080005793605707,877462929473010425,790464074759895329,945876678758956055,893672910847626686,136811587103278339,654359743296566165,377688368543201980,894376638882373678,870986098416927361,802251795570049650,140986396261052205,741174586444020727,637893685875242437,529763847281072428,710055499019152002,189934639659084947,77689202830602168,450099013869500194,12025464739921576,618991421610246290,242537030162672375,330178278578695313}

    Returns: "Possible"

  93. {868751993012459880,735304912868466499,131863279014337721,785741941569124868,912688100426145441,434351485938678309,774794729681365464,590075411899980099,36214360170859269,279125300635254326,960173373046689085,214362833256618199,659783794981853786,568097292708981793,671490962951048794,914946253117320816,920685165470415359,489883360183606489,625631356450204851,571117627026270877,48383062835845508,577403375366196142,441878141420972915,801903474277334004,282077500194471672,141605523929996677,225857949936426006,369629846834694716,954342680969709934,751542960781242346,716674056684198278,640488891662735463,954419954069429143,374500824681364801,438032275621247169,104682481355216915,573027246894288750,967749340917259125,129120836704976423,679067467979672116,817944911957151038,506245715573451892,35222339417579226,651209017283758320,88388964226551459,932887046032947650,722148962407055238,416892780701698778,514450552771758349,609083290226904427,545785222253984367,94922727221349750,113950965151934751,705462713029966961,394949662976372688,328267089701277254,350383711336336859,482378077842700603,282427982415466088,893811485805750928,54135785324255641,778530763203821073,304319035945787313,811857623245577547,971861444400029626,153012130266967533,740667617067059852,292985974142982262,7798631911344616,445242141683096504,241308606518209532,542496458660962223,463658129082580569,997518919449758092,317518163067903681,336199820143017660,933658785486915945,792473462447635242,461076317700020897,249451088246963962,999523381156088806,75479389021781145,22896158678293211,119992413015960420,915131065098595484,390975222863010527,580887603191517078,848074903278963845,423289223271045130,852234797570459848,973510012045552614,578618976047582891,291929289850609049,286862655194462845,926709227102187037,276310297041505106,767903631242784060,821737862834846399,167102597865356659,653841470486425473,858729325710645719,698837573380721542,380556152254147612,499060521619880210}

    Returns: "Impossible"

  94. {868751993012459880,735304912868466499,131863279014337721,785741941569124868,912688100426145441,434351485938678309,774794729681365464,590075411899980099,36214360170859269,279125300635254326,960173373046689085,214362833256618199,659783794981853786,568097292708981793,671490962951048794,914946253117320816,920685165470415359,489883360183606489,625631356450204851,571117627026270877,48383062835845508,577403375366196142,441878141420972915,801903474277334004,282077500194471672,141605523929996677,225857949936426006,369629846834694716,954342680969709934,751542960781242346,716674056684198278,640488891662735463,954419954069429143,374500824681364801,438032275621247169,104682481355216915,573027246894288750,967749340917259125,129120836704976423,679067467979672116,817944911957151038,506245715573451892,35222339417579226,651209017283758320,88388964226551459,932887046032947650,722148962407055238,416892780701698778,514450552771758349,609083290226904427,545785222253984367,94922727221349750,113950965151934751,705462713029966961,394949662976372688,328267089701277254,350383711336336859,482378077842700603,282427982415466088,893811485805750928,54135785324255641,778530763203821073,304319035945787313,811857623245577547,971861444400029626,153012130266967533,740667617067059852,292985974142982262,7798631911344616,445242141683096504,241308606518209532,542496458660962223,463658129082580569,997518919449758092,317518163067903681,336199820143017660,933658785486915945,792473462447635242,461076317700020897,249451088246963962,999523381156088806,75479389021781145,22896158678293211,119992413015960420,915131065098595484,390975222863010527,580887603191517078,848074903278963845,423289223271045130,852234797570459848,973510012045552614,578618976047582891,291929289850609049,286862655194462845,926709227102187037,276310297041505106,767903631242784060,821737862834846399,167102597865356659,653841470486425473,858729325710645719,698837573380721542,380556152254147612,499060521619880210,239312782159066655}

    Returns: "Possible"

  95. {576384297066129843,766156748825578810,975271562846047819,806368021242406923,954941269537785790,564954360640382426,306151109770297094,70822108522476287,616393445169905843,830465003681299251,664378484604432191,138450457367458466,885505308742232423,573357002893922174,236854359377240146,203194233145570246,915208735796764031,379149570399184454,121764941753037186,115559815182427683,531431546263455294,711934839982937318,45508145365220126,102334549308576931,353544786665106014,58937800598985346,440688691219602219,875580693900743831,452196448532375314,467034099916666267,862841931226266431,856193030761496083,519920997880169610,467780174327863335,561639157458635894,819320152870462195,505536174918687991,507218098905423311,337772153689542654,260074952654702290,141550945466003410,506025812872442059,682879799205376218,417262831266571226,410421766946789719,570773854911307734,340064246419669899,330502777363090983,282656274413202386,736245295336607982,951730445233859123,651886579729939042,678434635191664999,580954588786087875,335390819184088383,184011608552558447,975474203054209050,620344237931294698,416129858334343026,513626358145320950,24660198893395802,773524211780800450,208856141971162586,584108583366873726,376984366247766643,485135072782424238,577294360157636027,742511761212706443,879877068491392519,61102266216157546,427943462381267982,210285876310323054,83046855196717274,974120901101073271,58783047556494979,167942177752958718,869326943642976655,201003430842308771,132500374671741962,426402868837040014,748150859307946362,24431705473304970,978543838254888358,170544576299819039,805350993335879687,684662743368785427,348607191023270846,26491939548298270,260252527871318002,842962538266392287,418401665113981974,857304877238477790,749398862894109499,449125726256139935,862821009201289375,296622599837716563,448578087733542035,782943888947182178,723126034153644942,641135953938397847,330837708549311571,140436827467889875,701252879062301627,490608578356765862,340696722637127171,928090982077277446,319000599402476154,560634893586146983,516444772451110390,178392709081588966,169578279609178463,465691980413287054,469066349764265463,692827060203471759,640347915979598971,501989001311246374,968346899303074899,67860794808587718,696000775940797379,73841829472132375,548109712182155558,581018506568649231,481246589967368750,53931414286022342,125266832238563247,340202951816154083,566394711883997579,533043592684529494,340897206407721591,835897509377094614,421098798899740859,338230160508365259,158676436919216762,431226457499204659,13965564622314054,850049703317866570,575586430642705874,597590357402549130,212045770928315062,378540447192001026,3037065247687922,278225496818088170,655990180068045570,733230994116286802,253443364448442794,929670179880478899,174190120237900523,835533486019639946,541543015354786103,108285846996651042,283719017794243059,150555419098968446,287223442293270674,346120834280397082,72136764055212310,435345671800449626,644707967473244762,260554228396485815,82748797320221347,626660137783529591,188601336776524574,232343683026348247,329575532021782887,835048574244564694,53752885948046559,909076111961543283,752068470646113406,758988277202094651,745797523680062343,654091118815255098,192667637966719714,415484541049055118,81088525400522754,108183861603267031,833487861980189350,478628290794653122,909500061711614246,64760512142253246,571901406299742478,862688364336220330,592379860701199295,341331554290537591,71829101884329771,96871331993592398,448114491201037819,386184187622671035,901035158448654843,786757880262732239,396129145140304810,572229918455560963}

    Returns: "Impossible"

  96. {576384297066129843,766156748825578810,975271562846047819,806368021242406923,954941269537785790,564954360640382426,306151109770297094,70822108522476287,616393445169905843,830465003681299251,664378484604432191,138450457367458466,885505308742232423,573357002893922174,236854359377240146,203194233145570246,915208735796764031,379149570399184454,121764941753037186,115559815182427683,531431546263455294,711934839982937318,45508145365220126,102334549308576931,353544786665106014,58937800598985346,440688691219602219,875580693900743831,452196448532375314,467034099916666267,862841931226266431,856193030761496083,519920997880169610,467780174327863335,561639157458635894,819320152870462195,505536174918687991,507218098905423311,337772153689542654,260074952654702290,141550945466003410,506025812872442059,682879799205376218,417262831266571226,410421766946789719,570773854911307734,340064246419669899,330502777363090983,282656274413202386,736245295336607982,951730445233859123,651886579729939042,678434635191664999,580954588786087875,335390819184088383,184011608552558447,975474203054209050,620344237931294698,416129858334343026,513626358145320950,24660198893395802,773524211780800450,208856141971162586,584108583366873726,376984366247766643,485135072782424238,577294360157636027,742511761212706443,879877068491392519,61102266216157546,427943462381267982,210285876310323054,83046855196717274,974120901101073271,58783047556494979,167942177752958718,869326943642976655,201003430842308771,132500374671741962,426402868837040014,748150859307946362,24431705473304970,978543838254888358,170544576299819039,805350993335879687,684662743368785427,348607191023270846,26491939548298270,260252527871318002,842962538266392287,418401665113981974,857304877238477790,749398862894109499,449125726256139935,862821009201289375,296622599837716563,448578087733542035,782943888947182178,723126034153644942,641135953938397847,330837708549311571,140436827467889875,701252879062301627,490608578356765862,340696722637127171,928090982077277446,319000599402476154,560634893586146983,516444772451110390,178392709081588966,169578279609178463,465691980413287054,469066349764265463,692827060203471759,640347915979598971,501989001311246374,968346899303074899,67860794808587718,696000775940797379,73841829472132375,548109712182155558,581018506568649231,481246589967368750,53931414286022342,125266832238563247,340202951816154083,566394711883997579,533043592684529494,340897206407721591,835897509377094614,421098798899740859,338230160508365259,158676436919216762,431226457499204659,13965564622314054,850049703317866570,575586430642705874,597590357402549130,212045770928315062,378540447192001026,3037065247687922,278225496818088170,655990180068045570,733230994116286802,253443364448442794,929670179880478899,174190120237900523,835533486019639946,541543015354786103,108285846996651042,283719017794243059,150555419098968446,287223442293270674,346120834280397082,72136764055212310,435345671800449626,644707967473244762,260554228396485815,82748797320221347,626660137783529591,188601336776524574,232343683026348247,329575532021782887,835048574244564694,53752885948046559,909076111961543283,752068470646113406,758988277202094651,745797523680062343,654091118815255098,192667637966719714,415484541049055118,81088525400522754,108183861603267031,833487861980189350,478628290794653122,909500061711614246,64760512142253246,571901406299742478,862688364336220330,592379860701199295,341331554290537591,71829101884329771,96871331993592398,448114491201037819,386184187622671035,901035158448654843,786757880262732239,396129145140304810,572229918455560963,614951041767679116}

    Returns: "Possible"

  97. {466889722557863283,223919296359202686,802878635553862149,492175234311690599,469426646734746679,576175028985714700,77715319090951051,321212571407284440,613648305033638535,421901223578393187,334194429780464753,265653933590902553,22630390043334908,696318530586465347,848716955541910837,518474083771875312,466695125993717146,119459466107960802,384670628832377736,837297356217293396,722809995336948934,4462976453425737,644533005938366818,208524515705346510,569136214679010044,349777903595713495,865332087655741781,228253691729778886,784438831701823545,574156331448647511,695665269072713075,480753454724733699,2320911513662837,109629927330559149,729043267228291490,904406961066660333,492215316852868,831632249183034144,297216388586107911,525263353224781269,289998868198709415,337573749510044868,77768442626003115,898917596247072307,646973918305743690,636617127888589497,997414765197443055,99117063198359268,617920610674725403,671631116961627986,817462015487905880,492009207056284646,692261808250272253,389864005168574565,642838249906452104,36688515404470999,344364523411733156,641531025350729543,687352717736809141,263776379156813188,332194067283859862,491249226421279679,978376076028179244,975488786549764748,886124696465166484,239752701824873898,961959073195318625,229183835635537974,452520678681640884,650629311966450054,673506552138979193,957634237111204437,780201759357410412,753747106175154013,570917803391398516,706475460539481847,210680122833828645,382968193285316254,912817562143406344,54091890574039665,422309250590437832,614470667086871467,91527448714966665,343239297370510693,273917398126033551,516479738604903162,690165586088760717,557889428919391566,860270278084072269,792905442835510825,776469241720411680,540233524352889188,303261014236239743,395814023330312959,496013314640043196,97855423515849443,285205819630852508,368809698851025254,902998083469234434,317274309205268440,435633208794388442,640872497118344026,554567074930120990,838776617000385575,358509756971496742,525852754908968087,873936582236200800,522693381312582826,889238684019924870,386219798938377971,437957225850337453,365738630530775606,39857172615191850,647380562295627145,576768177234671931,163277124166472043,261502877100161646,508476770440901620,183517228296214725,724441848538501311,1703172018003350,760882769790761417,198160031605194605,764480939559057143,159726965547701305,922692983874975594,938846925856387325,675725075242425928,649434569898006106,516816798024005125,400377863502042634,913415556837020259,608490861991090517,422218979865800857,778989966268961001,279586663724955690,725143186125823814,481489402909571178,442928920039545322,880101215078422684,114425928309118260}

    Returns: "Impossible"

  98. {466889722557863283,223919296359202686,802878635553862149,492175234311690599,469426646734746679,576175028985714700,77715319090951051,321212571407284440,613648305033638535,421901223578393187,334194429780464753,265653933590902553,22630390043334908,696318530586465347,848716955541910837,518474083771875312,466695125993717146,119459466107960802,384670628832377736,837297356217293396,722809995336948934,4462976453425737,644533005938366818,208524515705346510,569136214679010044,349777903595713495,865332087655741781,228253691729778886,784438831701823545,574156331448647511,695665269072713075,480753454724733699,2320911513662837,109629927330559149,729043267228291490,904406961066660333,492215316852868,831632249183034144,297216388586107911,525263353224781269,289998868198709415,337573749510044868,77768442626003115,898917596247072307,646973918305743690,636617127888589497,997414765197443055,99117063198359268,617920610674725403,671631116961627986,817462015487905880,492009207056284646,692261808250272253,389864005168574565,642838249906452104,36688515404470999,344364523411733156,641531025350729543,687352717736809141,263776379156813188,332194067283859862,491249226421279679,978376076028179244,975488786549764748,886124696465166484,239752701824873898,961959073195318625,229183835635537974,452520678681640884,650629311966450054,673506552138979193,957634237111204437,780201759357410412,753747106175154013,570917803391398516,706475460539481847,210680122833828645,382968193285316254,912817562143406344,54091890574039665,422309250590437832,614470667086871467,91527448714966665,343239297370510693,273917398126033551,516479738604903162,690165586088760717,557889428919391566,860270278084072269,792905442835510825,776469241720411680,540233524352889188,303261014236239743,395814023330312959,496013314640043196,97855423515849443,285205819630852508,368809698851025254,902998083469234434,317274309205268440,435633208794388442,640872497118344026,554567074930120990,838776617000385575,358509756971496742,525852754908968087,873936582236200800,522693381312582826,889238684019924870,386219798938377971,437957225850337453,365738630530775606,39857172615191850,647380562295627145,576768177234671931,163277124166472043,261502877100161646,508476770440901620,183517228296214725,724441848538501311,1703172018003350,760882769790761417,198160031605194605,764480939559057143,159726965547701305,922692983874975594,938846925856387325,675725075242425928,649434569898006106,516816798024005125,400377863502042634,913415556837020259,608490861991090517,422218979865800857,778989966268961001,279586663724955690,725143186125823814,481489402909571178,442928920039545322,880101215078422684,114425928309118260,402078316476745341}

    Returns: "Possible"

  99. {594755171052546766,186076615278002158,824964065620165812,973774736369288702,399423068937846176,554514841615655593,400618897981066495,177715514756065760,41874415470691216,993377929415253748,256700963665885600,461767440204018068,949605494669020920,443177701734290595,689567512849998220,307286732700573409,743590686458515945,597460286256384987,17397485277151955,957572298359729838,491423866270685609,596514775451166718,753250558086235878,746881872153563552,840752821644254661,111909941201690317,780514789556091074,432974669378199988,263283778571419890,271304079784869863,566478991092738462,12957223650430138,430420298486465431,183565053581745660,827592899038494110,643939567936697593,478393757221551599,427428132013725366,932312947060908988,357462900735236531,998355536146402020,620611399067328179,118611244074021540,103551495864266885,586080302276529898,517618837937624316,607773801835488384,634002848134521313,351765050035527355,240934888579646657,755713967249791696,488102155330128362,651299491686360720,892507455058839231,718017717097452179,385828745678437521,735217969741162473,169037091897625577,578793985218327443,860009903712751045,922346191733732489,130728959815225071,25695647343876328,717975388530402539,995154439592688869,29275237297168028,419652842665446785,996590796730847222,615396630304278698,645300425299830505,627456158572325047,417191412014878340,508514653228151499,922629964467447446,751837871934752503,802984593938369980,967627986123466146,120446890336753603,494802822818357745,528651848580412866,245056829320026823,607786175208255129,529657524656949152,117156342011660235,910069550493780658,231917933710659539,705117867416363233,741050516948222620,335202743471173580,224789482540210561,397522196359135175,741769001869804220,554651062365032862,252360445418510781,392576406030133222,43995389895238539,991825790090643927,779861763258391271,362163792430817959,793275206114892479,341420732888963548,49695804952861392,784296385357624265,496582222941594093,277578158105914033,756410271257467126,253928549951978742,100592622619569828,306387624448730028,262501287703009922,853214743350662888,489030142044131976,680005665959470827,915946065810236842,389260782445193975,710176699009907163,154809166835511219,80354375251615953,609627926489842820,514181510209458873,414364798137771696,547983818263043722,136386384865109699,992298109003560610,564361562900113105,633684812615256012,795977920558822605,514187781860158615,487512226221264849,171828951438813691,754859203555898544,742524733085534869,861049096325537769,294392412154149823,64041541448824982,477141385921674625,19034652088189380,535147606531958757,148428356298182852,5414749540728729,474554639610177512,58125257236186856,660433768266028007,344985671678533786,221459469051194070,725703958884764085,99554807880109541,37552592595116006,808832636242110594,725012228306499759,156286208250872509,95842443678671507,777065170862371511,854601646951441288,702042201075065260,660401177717418166,341988844500448407,722687752879353311,337673922275947404,998829247111069353,545023918840352441,489000662447045011,187953965680605412,975946885523412389,67623202448394395,167625526652565689,265811870443865580,141892178395449773,233282216034801105,38889279532601775,134021242637855649,519811326765673097,687393186683968418,215077508707189431,939295278714400128,135433350506106104,279051878006630888,806562429005880021,443403144982742679,73906372053199322,283582833395846018,725043115128492476,568155643501212059,53550580744165842,853290526551266236,796412896421037742,471693915741555085,684195549869112561,5139424809952987,227196336897708511,794649364557891771,114911140692699861,333922706509445055,456599746988471013,995574005817974202,619225696136471951,188659756650519533,668167951404988322,996482041106870222,526445696459211920,674152336947833260,51791855181774750,313912552337905809,665419514047603183,244865513651583672,887706135198847707,205878048942811314,445069248618352123,221239619321587643,190588243947657345,106387922510749378,633553805460915180,236069464845467352,551875058019156430,48187422127830429,923170685805275081,303179454164267981,903561752132640909,655751114220930691,639960697885176972,643641391693672320,678099765652972272,711247020254807764,935295294757392621,854762697858001378,655749457616039366,509612132967583995,147152446906593199,540446142639601344,518931110012442827,639871531109754607,747991885297037289,334775011915689979,238966326260187043,125277854716387322,555230902399461117,580657732431163044,423187074840226992,859690900659748065,419015388075153120,89948039572198279,295213962370679704,717561231768846576,112753285675988909,440275960070027258,558960030011685338,26805987318063091,669814743105429429,212117447789403266,985373165179779050,533871452221637077,348220146992065963,617476585503177926,281787656982014356,982730367072693412,653491866645663391,270466915151996656,686997463007190768,668087629128361127,938734422906573043,349224576804612804,504205958003465446,506529319431614163,975908890828838548,385435560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    Returns: "Impossible"

  100. {594755171052546766,186076615278002158,824964065620165812,973774736369288702,399423068937846176,554514841615655593,400618897981066495,177715514756065760,41874415470691216,993377929415253748,256700963665885600,461767440204018068,949605494669020920,443177701734290595,689567512849998220,307286732700573409,743590686458515945,597460286256384987,17397485277151955,957572298359729838,491423866270685609,596514775451166718,753250558086235878,746881872153563552,840752821644254661,111909941201690317,780514789556091074,432974669378199988,263283778571419890,271304079784869863,566478991092738462,12957223650430138,430420298486465431,183565053581745660,827592899038494110,643939567936697593,478393757221551599,427428132013725366,932312947060908988,357462900735236531,998355536146402020,620611399067328179,118611244074021540,103551495864266885,586080302276529898,517618837937624316,607773801835488384,634002848134521313,351765050035527355,240934888579646657,755713967249791696,488102155330128362,651299491686360720,892507455058839231,718017717097452179,385828745678437521,735217969741162473,169037091897625577,578793985218327443,860009903712751045,922346191733732489,130728959815225071,25695647343876328,717975388530402539,995154439592688869,29275237297168028,419652842665446785,996590796730847222,615396630304278698,645300425299830505,627456158572325047,417191412014878340,508514653228151499,922629964467447446,751837871934752503,802984593938369980,967627986123466146,120446890336753603,494802822818357745,528651848580412866,245056829320026823,607786175208255129,529657524656949152,117156342011660235,910069550493780658,231917933710659539,705117867416363233,741050516948222620,335202743471173580,224789482540210561,397522196359135175,741769001869804220,554651062365032862,252360445418510781,392576406030133222,43995389895238539,991825790090643927,779861763258391271,362163792430817959,793275206114892479,341420732888963548,49695804952861392,784296385357624265,496582222941594093,277578158105914033,756410271257467126,253928549951978742,100592622619569828,306387624448730028,262501287703009922,853214743350662888,489030142044131976,680005665959470827,915946065810236842,389260782445193975,710176699009907163,154809166835511219,80354375251615953,609627926489842820,514181510209458873,414364798137771696,547983818263043722,136386384865109699,992298109003560610,564361562900113105,633684812615256012,795977920558822605,514187781860158615,487512226221264849,171828951438813691,754859203555898544,742524733085534869,861049096325537769,294392412154149823,64041541448824982,477141385921674625,19034652088189380,535147606531958757,148428356298182852,5414749540728729,474554639610177512,58125257236186856,660433768266028007,344985671678533786,221459469051194070,725703958884764085,99554807880109541,37552592595116006,808832636242110594,725012228306499759,156286208250872509,95842443678671507,777065170862371511,854601646951441288,702042201075065260,660401177717418166,341988844500448407,722687752879353311,337673922275947404,998829247111069353,545023918840352441,489000662447045011,187953965680605412,975946885523412389,67623202448394395,167625526652565689,265811870443865580,141892178395449773,233282216034801105,38889279532601775,134021242637855649,519811326765673097,687393186683968418,215077508707189431,939295278714400128,135433350506106104,279051878006630888,806562429005880021,443403144982742679,73906372053199322,283582833395846018,725043115128492476,568155643501212059,53550580744165842,853290526551266236,796412896421037742,471693915741555085,684195549869112561,5139424809952987,227196336897708511,794649364557891771,114911140692699861,333922706509445055,456599746988471013,995574005817974202,619225696136471951,188659756650519533,668167951404988322,996482041106870222,526445696459211920,674152336947833260,51791855181774750,313912552337905809,665419514047603183,244865513651583672,887706135198847707,205878048942811314,445069248618352123,221239619321587643,190588243947657345,106387922510749378,633553805460915180,236069464845467352,551875058019156430,48187422127830429,923170685805275081,303179454164267981,903561752132640909,655751114220930691,639960697885176972,643641391693672320,678099765652972272,711247020254807764,935295294757392621,854762697858001378,655749457616039366,509612132967583995,147152446906593199,540446142639601344,518931110012442827,639871531109754607,747991885297037289,334775011915689979,238966326260187043,125277854716387322,555230902399461117,580657732431163044,423187074840226992,859690900659748065,419015388075153120,89948039572198279,295213962370679704,717561231768846576,112753285675988909,440275960070027258,558960030011685338,26805987318063091,669814743105429429,212117447789403266,985373165179779050,533871452221637077,348220146992065963,617476585503177926,281787656982014356,982730367072693412,653491866645663391,270466915151996656,686997463007190768,668087629128361127,938734422906573043,349224576804612804,504205958003465446,506529319431614163,975908890828838548,385435560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    Returns: "Possible"

  101. {165509715094493669,861372993681467176,922930000462232378,284249581988502699,148316734276203305,580708507090592697,565858430477707502,215859083263015138,446899718382571000,585102372528154870,742518705906169645,925800123661751097,306261137617003562,191584749170291625,374393201862601959,428433880246761789,388250848078882230,43738337835467687,149795188004657635,80068325727269732,391517981941364711,318194463610956397,369993699585102307,124372050688524218,539320241167807932,12307068219957364,877236814794698220,521933324496114793,448513492966648930,181099509724182880,301485424893899757,7844067528979820,30824407691964088,653169513551256188,772669655213313700,911434766982121342,64638514750759605,124053875682367035,248171549122370931,903461537276545074,327874242115695345,67947932051725818,871338900624852722,77432487594589498,657321354523527912,848091419167005991,108699226924922721,162925471989045024,866506553855853299,220495193118601825,453938575711429115,867105197136024485,611017359147481852,673517200940297959,33151301730148279,501614461683734569,961193853396566002,128007142831222386,566656655783969961,978872159573049778,493806423967020082,343765000658572978,449058734701127208,694750854799289713,200090395241373818,210669968660440756,68991593606332584,904714451409573288,952295720660483645,466128071010253479,998624614214774507,291003010294460585,846851345644873703,285297335989644276,32413014383677665,876859509875705062,809751985043402020,962103885807616552,446091166730958368,473134700155157492,43632636417039018,568910471043841832,471187240681553267,725074156725517282,991312210523471986,3392117130637694,951876986306474868,155802311916618871,846022446959671421,78032729364481826,602270065201658927,742688010460947583,501030209586093623,428191453907106540,751013392277359548,458813857699985889,118646220939046257,207273252009553598,544923009299944053,239183675586826100,355367862559500413,175993091587536185,897995467645262328,283824952323005869,316106587734282673,475607679511037024,62316935771483516,376460084186027950,890412562879635691,946513172887764964,480436940977707836,109880452081297973,384531836267936435,505302570824130722,976026159313768928,450475599364128424,748756931966145121,593657494560420217,326131020368546295,833444322014964901,717990238843587639,754638530053837352,503515386780780024,813261432114413221,948126942116806584,125548403200561320,448364956085931961,197988466820655415,563809827822439589,765406016215789179,317599582069231610,203506802027830517,71268828276530356,137807836037545660,65529298147797950,810105278006608620,567949691237124972,514488652595410465,207093252625851112,860552608511957679,296675317833791086,660351265201823800,37573840355221045,93955927064290029,598151838292989738,589174521107226223,916276458429167869,433828019649124221,234111113615735612,655421667077285554,126385057973002229,269831018937354090,467145164223555770,785522544390888187,786393670674965169,688451242351828458,38971247687671981,615183502520265393,354380544787279776,779090282013976295,650472899168553266,171066130057003007,597793309717370472,922885756691897596,883080410598277997,624096050695698592,536144574855549929,598392170265849146,817466330498863659,354246803689180781,94304564066628850,758287207592080486,845003579252921966,586566039646863074,331847934365128938,492160125294090405,677339922710712948,360604716789055667,758068989311359031,204140935145492012,810851637026794034,476098783186294753,986248464746968567,914988128021307105,668155426976485372,559325720253604284,773442952093284388,897147684644398907,748912144054402343,39382397912508985,927675309530455981,550402618345829033,307495540679322923,177208269195422628,712913753563936999,754959717384363365,871392937585253797,967492376242528875,18153387714846129,530239483392990579,966528148997940210,913912228668040625,728092003855444198,763286093690750501,917974469206226025,126002001567064127,241686363410079076,204989880769197026,827888901926080117,997269554374362237,772983434236791521,754928215900999593,390715587308028856,53469697559153966,879128600838278316,590054320243691199,348485414783117803,569457199104291884,735604113342813356,101663639467928571,961934667707529071,837432281615538979,403721065058068846,181474593443122022,641101253237162674,666342339879132527,561987023773961570,750247535538114877,329151554799219129,532285007510907299,813621426405543294,62100195390805631,955251012679119014,518470543893494504,98859139980732286,44529983928810553,838021810033277091,395015732881734764,165424352744011170,182293236472202299,810036876344660205,414180586995850108,860334912935189867,945542949630052350,940866354118905330,960498796709432504,865388734301456803,327381763445217007,901980095173520230,240726973868805282,724656715662555118,315780519894125103,154982992435161643,632187590373860453,820770867329921250,226928580757835809,296107910670060853,975322362237748077,542719080095815548,629388441311492909,439230026960377852,215235728180514622,906678234974889318,500462644443829693,718977831134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    Returns: "Impossible"

  102. {165509715094493669,861372993681467176,922930000462232378,284249581988502699,148316734276203305,580708507090592697,565858430477707502,215859083263015138,446899718382571000,585102372528154870,742518705906169645,925800123661751097,306261137617003562,191584749170291625,374393201862601959,428433880246761789,388250848078882230,43738337835467687,149795188004657635,80068325727269732,391517981941364711,318194463610956397,369993699585102307,124372050688524218,539320241167807932,12307068219957364,877236814794698220,521933324496114793,448513492966648930,181099509724182880,301485424893899757,7844067528979820,30824407691964088,653169513551256188,772669655213313700,911434766982121342,64638514750759605,124053875682367035,248171549122370931,903461537276545074,327874242115695345,67947932051725818,871338900624852722,77432487594589498,657321354523527912,848091419167005991,108699226924922721,162925471989045024,866506553855853299,220495193118601825,453938575711429115,867105197136024485,611017359147481852,673517200940297959,33151301730148279,501614461683734569,961193853396566002,128007142831222386,566656655783969961,978872159573049778,493806423967020082,343765000658572978,449058734701127208,694750854799289713,200090395241373818,210669968660440756,68991593606332584,904714451409573288,952295720660483645,466128071010253479,998624614214774507,291003010294460585,846851345644873703,285297335989644276,32413014383677665,876859509875705062,809751985043402020,962103885807616552,446091166730958368,473134700155157492,43632636417039018,568910471043841832,471187240681553267,725074156725517282,991312210523471986,3392117130637694,951876986306474868,155802311916618871,846022446959671421,78032729364481826,602270065201658927,742688010460947583,501030209586093623,428191453907106540,751013392277359548,458813857699985889,118646220939046257,207273252009553598,544923009299944053,239183675586826100,355367862559500413,175993091587536185,897995467645262328,283824952323005869,316106587734282673,475607679511037024,62316935771483516,376460084186027950,890412562879635691,946513172887764964,480436940977707836,109880452081297973,384531836267936435,505302570824130722,976026159313768928,450475599364128424,748756931966145121,593657494560420217,326131020368546295,833444322014964901,717990238843587639,754638530053837352,503515386780780024,813261432114413221,948126942116806584,125548403200561320,448364956085931961,197988466820655415,563809827822439589,765406016215789179,317599582069231610,203506802027830517,71268828276530356,137807836037545660,65529298147797950,810105278006608620,567949691237124972,514488652595410465,207093252625851112,860552608511957679,296675317833791086,660351265201823800,37573840355221045,93955927064290029,598151838292989738,589174521107226223,916276458429167869,433828019649124221,234111113615735612,655421667077285554,126385057973002229,269831018937354090,467145164223555770,785522544390888187,786393670674965169,688451242351828458,38971247687671981,615183502520265393,354380544787279776,779090282013976295,650472899168553266,171066130057003007,597793309717370472,922885756691897596,883080410598277997,624096050695698592,536144574855549929,598392170265849146,817466330498863659,354246803689180781,94304564066628850,758287207592080486,845003579252921966,586566039646863074,331847934365128938,492160125294090405,677339922710712948,360604716789055667,758068989311359031,204140935145492012,810851637026794034,476098783186294753,986248464746968567,914988128021307105,668155426976485372,559325720253604284,773442952093284388,897147684644398907,748912144054402343,39382397912508985,927675309530455981,550402618345829033,307495540679322923,177208269195422628,712913753563936999,754959717384363365,871392937585253797,967492376242528875,18153387714846129,530239483392990579,966528148997940210,913912228668040625,728092003855444198,763286093690750501,917974469206226025,126002001567064127,241686363410079076,204989880769197026,827888901926080117,997269554374362237,772983434236791521,754928215900999593,390715587308028856,53469697559153966,879128600838278316,590054320243691199,348485414783117803,569457199104291884,735604113342813356,101663639467928571,961934667707529071,837432281615538979,403721065058068846,181474593443122022,641101253237162674,666342339879132527,561987023773961570,750247535538114877,329151554799219129,532285007510907299,813621426405543294,62100195390805631,955251012679119014,518470543893494504,98859139980732286,44529983928810553,838021810033277091,395015732881734764,165424352744011170,182293236472202299,810036876344660205,414180586995850108,860334912935189867,945542949630052350,940866354118905330,960498796709432504,865388734301456803,327381763445217007,901980095173520230,240726973868805282,724656715662555118,315780519894125103,154982992435161643,632187590373860453,820770867329921250,226928580757835809,296107910670060853,975322362237748077,542719080095815548,629388441311492909,439230026960377852,215235728180514622,906678234974889318,500462644443829693,718977831134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    Returns: "Possible"

  103. {432487637375392629,766661721416429743,432369637106558036,675240956014087492,528020452107514457,773182882343486848,38809763980483953,82346305743475867,590650574044916493,376742578439779180,255886246756978314,444309687792499429,483840860938970291,469413324584589118,621500388401132849,116761382831677903,685766961961623554,182763917643602372,239754268371754040,538002769498224959,101020818106389064,957200926375874541,106003017122161269,638058365144174319,306075365960983912,678799780263160371,249721184530090452,687248772869888880,389619023005516515,494335657982024957,935427849675502958,226670842509137955,661561467743721193,507360775416259622,454917191266975185,564428754087969855,623930961957156141,678187801936094161,753043924032154667,16189938400191992,21319639733356334,373268249455814738,912862207157365813,250762813812425646,267899862021711924,167265973225901750,547543408290796302,855765851105818883,744193790203093289,285628458629495903,464435212810694281,780331588443839172,543770192030337272,344695582863564305,260176637228901252,306983146960084829,985253342739324456,481336074949045693,239098616037126326,406302687719248816,656036325678255439,650768094915402654,565782654685952151,545225297748739630,620462825182792921,354232663721059665,539979556386167834,620741040397012476,982629362234241177,80307301647306667,588709247694118291,107657005604967144,46627965118097510,982717941899522533,398816816099208436,744182966389544208,299413232225839810,930461618000830466,715755271543765795,113241449150984029,908411107950922574,752387995121899011,676674847717130033,564640424340918873,664529137922202072,190137029713339596,805021373714322344,751430061697702464,188320899280560399,432622968480196108,554372965818616728,374439931081386553,203251632519466808,860973008968652351,299561872057618206,311082106980073251,997123178352569509,893957423010337699,475925031568239273,769913488883317365,110249897579679853,1441540778107455,545152944023737463,698981626246585671,559850862074084879,206414834628189174,427033635136653593,932579702206834863,724095755386878351,503655124078301642,610385338467838363,722376120209700279,977390744989473089,78293679734419487,171911724167581489,36828452757381716,524184445735833066,519773707776699881,123382218922597460,679846330607838408,859872699417327309,458608296110035555,597846735556962753,449312086845815167,742422894579457345,272070595361520219,997645160072066254,338816404116630094,834944325515998144,222058605050035456,116970071587438172,269366975699793296,190498065412490224,471294947522243348,32241907755635603,497417001551250523,257606429678686737,193748590112969279,849063587695500349,796761591956064094,898614895602033981,88880203936005406,549622215913744602,619580707982709662,376875466763693729,578758866478005887,134853823803084484,859432354751344457,28225817292265624,147642869032675212,113154935709372407,580175192913273733,267777224228151551,471826688993791889,633722167762769916,38923945290989651,446990150854468856,753128033541139260,867058875432357684,131513118528247859,36791288689464917,495967644453308737,257533027341255956,373565251528110924,14870922997987701,205507872061856962,109542851411671060,657671969331884140,116342345980442835,981132833725083131,331425172831738012,905691100886557440,942442843056024161,386488883979109627,90729070464067665,508744178837952235,783755287781095647,200966477499305488,283953086238996486,390665348563584530,148840723540853353,457238100469768452,329245752505378076,912895576552684900,9206435989648968,745899083180699302,986282927060027589,833782648979045459,761048806427676497,359911730852055550,496196822980258599,496554748082576904,81171640464384977,720942134324793869,963913235702407967,602141088970957576,403280436686179198,359058535046866361,970275803673528528,7854039160501585,398286737769436277,625057958714386843,539691771479596450,513742943702129209,869999580878658783,500259389106468886,446782380331404639,877153730499346115,333344030200667287,901236018197436931,943994227945784226,727330351623613513,931206134272048339,838585593782573048,895849467985763172,383996891117088033,261867480580517064,122141370490262698,630588724132671917,92164370713980848,817998469880843815,956503561734140210,101268526347811109,516418150501406703,862363282842249112,747940982187578437,632023830206295279,411037764949560869,796860649420262088,775901916231846033,727719602977459070,951187258879085,226447299091299041,256096428839138797,134743306497939461,941479826318584817,577701334883741692,193013565871336029,598504139405265832,733763549668982615,771142190401839328,540017735863239111,162972529201649664,184555047592824125,266043875280177606,422602988307849812,252651600722758197,684813887639313743,24189215038380210,726033621007377600,447312823624359224,416483000980504126,40428046737384193,977498980376517450,395276758946294981,713630676161125085,881636358592017838,600962655732778380,292506430346771560}

    Returns: "Impossible"

  104. {432487637375392629,766661721416429743,432369637106558036,675240956014087492,528020452107514457,773182882343486848,38809763980483953,82346305743475867,590650574044916493,376742578439779180,255886246756978314,444309687792499429,483840860938970291,469413324584589118,621500388401132849,116761382831677903,685766961961623554,182763917643602372,239754268371754040,538002769498224959,101020818106389064,957200926375874541,106003017122161269,638058365144174319,306075365960983912,678799780263160371,249721184530090452,687248772869888880,389619023005516515,494335657982024957,935427849675502958,226670842509137955,661561467743721193,507360775416259622,454917191266975185,564428754087969855,623930961957156141,678187801936094161,753043924032154667,16189938400191992,21319639733356334,373268249455814738,912862207157365813,250762813812425646,267899862021711924,167265973225901750,547543408290796302,855765851105818883,744193790203093289,285628458629495903,464435212810694281,780331588443839172,543770192030337272,344695582863564305,260176637228901252,306983146960084829,985253342739324456,481336074949045693,239098616037126326,406302687719248816,656036325678255439,650768094915402654,565782654685952151,545225297748739630,620462825182792921,354232663721059665,539979556386167834,620741040397012476,982629362234241177,80307301647306667,588709247694118291,107657005604967144,46627965118097510,982717941899522533,398816816099208436,744182966389544208,299413232225839810,930461618000830466,715755271543765795,113241449150984029,908411107950922574,752387995121899011,676674847717130033,564640424340918873,664529137922202072,190137029713339596,805021373714322344,751430061697702464,188320899280560399,432622968480196108,554372965818616728,374439931081386553,203251632519466808,860973008968652351,299561872057618206,311082106980073251,997123178352569509,893957423010337699,475925031568239273,769913488883317365,110249897579679853,1441540778107455,545152944023737463,698981626246585671,559850862074084879,206414834628189174,427033635136653593,932579702206834863,724095755386878351,503655124078301642,610385338467838363,722376120209700279,977390744989473089,78293679734419487,171911724167581489,36828452757381716,524184445735833066,519773707776699881,123382218922597460,679846330607838408,859872699417327309,458608296110035555,597846735556962753,449312086845815167,742422894579457345,272070595361520219,997645160072066254,338816404116630094,834944325515998144,222058605050035456,116970071587438172,269366975699793296,190498065412490224,471294947522243348,32241907755635603,497417001551250523,257606429678686737,193748590112969279,849063587695500349,796761591956064094,898614895602033981,88880203936005406,549622215913744602,619580707982709662,376875466763693729,578758866478005887,134853823803084484,859432354751344457,28225817292265624,147642869032675212,113154935709372407,580175192913273733,267777224228151551,471826688993791889,633722167762769916,38923945290989651,446990150854468856,753128033541139260,867058875432357684,131513118528247859,36791288689464917,495967644453308737,257533027341255956,373565251528110924,14870922997987701,205507872061856962,109542851411671060,657671969331884140,116342345980442835,981132833725083131,331425172831738012,905691100886557440,942442843056024161,386488883979109627,90729070464067665,508744178837952235,783755287781095647,200966477499305488,283953086238996486,390665348563584530,148840723540853353,457238100469768452,329245752505378076,912895576552684900,9206435989648968,745899083180699302,986282927060027589,833782648979045459,761048806427676497,359911730852055550,496196822980258599,496554748082576904,81171640464384977,720942134324793869,963913235702407967,602141088970957576,403280436686179198,359058535046866361,970275803673528528,7854039160501585,398286737769436277,625057958714386843,539691771479596450,513742943702129209,869999580878658783,500259389106468886,446782380331404639,877153730499346115,333344030200667287,901236018197436931,943994227945784226,727330351623613513,931206134272048339,838585593782573048,895849467985763172,383996891117088033,261867480580517064,122141370490262698,630588724132671917,92164370713980848,817998469880843815,956503561734140210,101268526347811109,516418150501406703,862363282842249112,747940982187578437,632023830206295279,411037764949560869,796860649420262088,775901916231846033,727719602977459070,951187258879085,226447299091299041,256096428839138797,134743306497939461,941479826318584817,577701334883741692,193013565871336029,598504139405265832,733763549668982615,771142190401839328,540017735863239111,162972529201649664,184555047592824125,266043875280177606,422602988307849812,252651600722758197,684813887639313743,24189215038380210,726033621007377600,447312823624359224,416483000980504126,40428046737384193,977498980376517450,395276758946294981,713630676161125085,881636358592017838,600962655732778380,292506430346771560,548548596533835274}

    Returns: "Possible"

  105. {406079654155624830,760069767882261671,917300551076868952,462895014900745364,940450666872530094,942703688682674436,843224040229413081,312863621991898666,523761951393680140,263808985334463145,787480064453700882,345167933790888531,956320143615375374,420138243878793048,264377752820717957,568259879910889993,349445858451269413,602996322733967961,87682735847641031,983671416583370070,571283122859288196,548568566123633956,698567485094573984,135445053562874434,244422204525081413,644527334806789973,904927011798128232,888843870911505526,204086118557038632,58708916596524798,207458805962581726,257402784255268361,583405448912550996,287775488920358909,720542270800620545,994955831591777139,546368968129715314,843002710367863663,270381649238431184,368706314058816250,112915016268267212,619952819263221579,264452125745477623,685142686367270645,517399211041650890,245310296664512120,271083946763653182,181695048049970848,992985809126634836,2958565756555366,331665935363041097,799512755541615155,21497404721167128,557253262600440503,428127006211085439,432307398060005774,346272337163091066,388806006477558323,307477716350472676,266751885566930464,62118861949974225,590498808093128604,776631684981362757,469560270465140053,936607404679449300,608015460792142267,706119828937484225,309432705817799507,666384251762852690,162321502752327787,837358279702854470,921775992466588037,745582248417056740,280536685974627723,856146446350650239,669498700963208152,464347372981392380,297823455871109235,205322750433511136,119261793395722943,579939983350961183,349415045595882490,644083948111063890,257511823731043907,981939589901571542,804525152839720921,687952309648273830,993026569966645400,406343373413984395,663930246292754162,464712906335274528,620803452056757958,699538193210682242,995252969542378261,482240068051628328,474611425695785725,965014326989621740,482901804178134555,177558503612383279,80598076456066467,424475549692063113,420402733942494834,87269028480435903,992069071433231601,919460205063853093,59263488499871865,956714252644303993,15757339934800380,420594971594022126,668862659532207970,747516015393761227,481456805384685132,200405477449403572,118225216171725430,141327468147678193,47331389728149548,510531662538676560,985425793762275969,545858228407364063,719403786596307861,638395006553340139,549246413383593433,366335730059605770,370771209922581108,394950713344147764,621279132200066438,793863589276375006,93431788289375435,919149460568254275,366744667001405170,628088484701780962,508089829933528655,993005817482912697,219411343507626896,493767137475157342,41228429028502179,129279099421409703,435274373850464863,802086602107805890,292503195848277113,676185615166340603,841703770193337492,660690159061773934,921766238004986133,38141376591065081,235475417684434446,544936570591422300,934199143145365698,6686301175033795,1822225131575490,388389564738359081,287930929105124817,727776846656959086,480439102663779512,873357742834127284,236671554823204249,724467529623073387,210928009563943201,970109027187047893,478197005856627477,529717720215849226,335348508275470609,939013979269131638,635157746558558097,32706873667665916,669295181067060310,89659968369321563,841054281953624166,70766165549827478,450973796451459595,613026041026919658,678490739476311395,948355177119797000,379278033178039108,421592276480512996,839006990900991294,64181430538837146,505791898974287849,24547332447384651,427478213576635680,237488619243617879,369442328787960875,412363262139070869,52618524369859011,595972484008335085,108955495124231183,230007799671041244,53296425835569642,696359749770812110,306848394564288289,551342554229421394,568479287110607064,853691466046680149,905304075462557781,813696091519591445,186338907677013661,410151172455159239,844525094803993359,324784994917713496,698560044122414629,946012021851725076,896184045084805241,293909688572001493,965938381063902266,991192069326666863,565544101525156953,448428419926380972,14872440739442118,159150069799474224,764302163146721780,240988399269099837,310849421005045720,434451965070470635,425374155217698178,182326350015877959,761567164236913286,890493522404270304,149105296409792708,872523612763644685,829789448470152963,183613587790839184,315839686401706600,257688953605795931,231287837465423608,851169144437219660,84640077467313036,911390064828256965,105136707567270243,668421006904988362,261083208537242671,409069801087955577,341677226357921746,949388443215798950,396273177660339846,882884313743968030,949227052924289441,249852946382874838,839179630341343725,912350775659193976,278369932141978648,964690220974152169,688201253031490712,342005118438405139,758941792982094334,267475085292249,463340916631600194,441717066483612040,258059939138856811,584126898929237545,837223322468781932,166285940001972538,996529333024879704,160887963569353058,987402265226450834,424270034196783265,893884380129554616,568016149014100296,674951506652687740,119783789896915960,558682259372665625,794971372565897732,63543801762402601,75855283657515079,91138541316081132,278730831805710401,138486378439714887,822669241373169916,784254369840747668,827071737802742561,445747941299153226,31021551528513764,735544547206697305,393731073118237624,907225771408464475,57239055903797961,34550812892590751,299665865109944230,818318169716198719,260225144499056761,807077920982855215,105456463227348130,72237727498635096,225891489198977548,874549667460388223,92971989294684843,932493347744168990,601338397599647486,698965216963090978,232147516114259127,730896494801764524,208563964382971006,372404986516884938,968097218977497749,444692855649741279,132726612061169066,848946342832140160,743329543437418480,111937617030925400,393724397588872333,75885476626036070,423623829180725510,94087143779448850,221019676835164997}

    Returns: "Impossible"

  106. {406079654155624830,760069767882261671,917300551076868952,462895014900745364,940450666872530094,942703688682674436,843224040229413081,312863621991898666,523761951393680140,263808985334463145,787480064453700882,345167933790888531,956320143615375374,420138243878793048,264377752820717957,568259879910889993,349445858451269413,602996322733967961,87682735847641031,983671416583370070,571283122859288196,548568566123633956,698567485094573984,135445053562874434,244422204525081413,644527334806789973,904927011798128232,888843870911505526,204086118557038632,58708916596524798,207458805962581726,257402784255268361,583405448912550996,287775488920358909,720542270800620545,994955831591777139,546368968129715314,843002710367863663,270381649238431184,368706314058816250,112915016268267212,619952819263221579,264452125745477623,685142686367270645,517399211041650890,245310296664512120,271083946763653182,181695048049970848,992985809126634836,2958565756555366,331665935363041097,799512755541615155,21497404721167128,557253262600440503,428127006211085439,432307398060005774,346272337163091066,388806006477558323,307477716350472676,266751885566930464,62118861949974225,590498808093128604,776631684981362757,469560270465140053,936607404679449300,608015460792142267,706119828937484225,309432705817799507,666384251762852690,162321502752327787,837358279702854470,921775992466588037,745582248417056740,280536685974627723,856146446350650239,669498700963208152,464347372981392380,297823455871109235,205322750433511136,119261793395722943,579939983350961183,349415045595882490,644083948111063890,257511823731043907,981939589901571542,804525152839720921,687952309648273830,993026569966645400,406343373413984395,663930246292754162,464712906335274528,620803452056757958,699538193210682242,995252969542378261,482240068051628328,474611425695785725,965014326989621740,482901804178134555,177558503612383279,80598076456066467,424475549692063113,420402733942494834,87269028480435903,992069071433231601,919460205063853093,59263488499871865,956714252644303993,15757339934800380,420594971594022126,668862659532207970,747516015393761227,481456805384685132,200405477449403572,118225216171725430,141327468147678193,47331389728149548,510531662538676560,985425793762275969,545858228407364063,719403786596307861,638395006553340139,549246413383593433,366335730059605770,370771209922581108,394950713344147764,621279132200066438,793863589276375006,93431788289375435,919149460568254275,366744667001405170,628088484701780962,508089829933528655,993005817482912697,219411343507626896,493767137475157342,41228429028502179,129279099421409703,435274373850464863,802086602107805890,292503195848277113,676185615166340603,841703770193337492,660690159061773934,921766238004986133,38141376591065081,235475417684434446,544936570591422300,934199143145365698,6686301175033795,1822225131575490,388389564738359081,287930929105124817,727776846656959086,480439102663779512,873357742834127284,236671554823204249,724467529623073387,210928009563943201,970109027187047893,478197005856627477,529717720215849226,335348508275470609,939013979269131638,635157746558558097,32706873667665916,669295181067060310,89659968369321563,841054281953624166,70766165549827478,450973796451459595,613026041026919658,678490739476311395,948355177119797000,379278033178039108,421592276480512996,839006990900991294,64181430538837146,505791898974287849,24547332447384651,427478213576635680,237488619243617879,369442328787960875,412363262139070869,52618524369859011,595972484008335085,108955495124231183,230007799671041244,53296425835569642,696359749770812110,306848394564288289,551342554229421394,568479287110607064,853691466046680149,905304075462557781,813696091519591445,186338907677013661,410151172455159239,844525094803993359,324784994917713496,698560044122414629,946012021851725076,896184045084805241,293909688572001493,965938381063902266,991192069326666863,565544101525156953,448428419926380972,14872440739442118,159150069799474224,764302163146721780,240988399269099837,310849421005045720,434451965070470635,425374155217698178,182326350015877959,761567164236913286,890493522404270304,149105296409792708,872523612763644685,829789448470152963,183613587790839184,315839686401706600,257688953605795931,231287837465423608,851169144437219660,84640077467313036,911390064828256965,105136707567270243,668421006904988362,261083208537242671,409069801087955577,341677226357921746,949388443215798950,396273177660339846,882884313743968030,949227052924289441,249852946382874838,839179630341343725,912350775659193976,278369932141978648,964690220974152169,688201253031490712,342005118438405139,758941792982094334,267475085292249,463340916631600194,441717066483612040,258059939138856811,584126898929237545,837223322468781932,166285940001972538,996529333024879704,160887963569353058,987402265226450834,424270034196783265,893884380129554616,568016149014100296,674951506652687740,119783789896915960,558682259372665625,794971372565897732,63543801762402601,75855283657515079,91138541316081132,278730831805710401,138486378439714887,822669241373169916,784254369840747668,827071737802742561,445747941299153226,31021551528513764,735544547206697305,393731073118237624,907225771408464475,57239055903797961,34550812892590751,299665865109944230,818318169716198719,260225144499056761,807077920982855215,105456463227348130,72237727498635096,225891489198977548,874549667460388223,92971989294684843,932493347744168990,601338397599647486,698965216963090978,232147516114259127,730896494801764524,208563964382971006,372404986516884938,968097218977497749,444692855649741279,132726612061169066,848946342832140160,743329543437418480,111937617030925400,393724397588872333,75885476626036070,423623829180725510,94087143779448850,221019676835164997,935781360999110773}

    Returns: "Possible"

  107. {961942281696206553,868723204450498935,705100467069343839,226023601788722580,37084936064737068,134222591922938108,862250567684126829,825422999480056324,278096466205622899,524017485601935403,633685037010206307,717699728144263367,792774244670902339,725175685091549541,793782004157290882,898046874867696217,565952893836294844,327448840534050684,504310972978121838,700387241167243575,501935572581986934,267102028343772463,603946840393581495,324017367962825127,951037703504535199,525349757085232325,175899500943068796,25547842658564242,766911256332969170,323638083782441503,724626116906891320,338007013814056653,109639254228846806,298167462387991979,263196584716840655,223036710218655112,272712679787851426,664449720599234473,175367754443396740,570184114359986385,344234601477873390,673851226889015802,42722438357211205,354562795626493506,704981179836366495,676841819979030567,466627971099182711,257740408164972978,514603325675865238,16487442206717795,279796704853791480,493165302111243079,887382739047318488,804348740108381640,169568639958084631,877140493819909492,585439619445266021,28494434928596592,486120734342992674,564962811326424645,56945902635437017,585075618897870074,87599249310493495,418788349707921865,201621081008450747,519317746202092192,792463216163250249,638190782953676892,527280295967099361,934059933642493852,431147295114603724,342605061499479044,456781714627124702,250947063896073979,470236391611689479,470623531507828070,748927364896288324,710344454518368401,490665042034910325,850306542312435391,344277330667668218,128115209691165457,612556487610405343,186274551993010171,942797205405260836,629499090482722034,700485459195948757,689614502780322156,490784674070352902,947543026201934858,337724976486348263,145773124308177079,305581068054091602,975586318139294169,801099075410355061,543320176848877963,916469972550296998,445872726581889947,398763082369105095,775361806560812364,734116214832428012,583224107000570052,269440303757963859,28546275618671630,188831791438158645,984379551632869116,224094870249517295,399775397446500245,348147462296729876,18937833880256420,957690409866243832,672637495358398895,609313777102147768,536645897412843373,549647984593642363,919634916775112536,615341729422779076,709447861643206196,2948784756448377,381224114963285929,394127745307894476,645957228711478592,421482645154950551,600311052344447179,427436540910416518,402101572718041865,721516502087365110,948028833929659944,260299654810702049,75331046998021459,869886265606349991,784110233305256605,609199827811507953,676871000291790704,325964623817464844,329046884941896865,355398707593095541,424980730711297443,683360375101260551,771470452504580491,563975421381501940,995998270950076114,150374477806792719,427583810027413985,765814835738644374,215868391775140683,88603262707894074,291781732266482264,753053343134853326,576800695537204656,767682804857690000,785671254742677689,994933733179168855,211378686299407339,757854663355422125,782193497760454603,980457144555860377,474200942991838335,590051818700225638,473324441412933880,823808815122997930,504843637346706397,35653028488882509,809439848145340917,508222323328371967,851108933068747443,128605725120753598,848740454264097781,312554760054090882,781609105321952802,305493915009373583,120188957009618238,614348801262436426,398476062691309694,85160930742656807,672275240384875734,393673491283079834,928066957095066144,571136907455442975,358286072115398219,960252057471239552,325814886433544894,980882684852630310,959873628553841,274478014454713565,706788079224726091,859314568654839904,632416188529345749,500014347555984713,563893923519808987,829113762305936263,58104191804209471,544896166487353470,858561015304017603,204797361068290352,357041661066585102,499932931674294322,563116037821459646,922651870918200152,241202087561738128,502129508958960539,628539208870803447,541304389288154006,496783159098438280,851731171585287758,994974257265135772,124178762295057010,176270402798677420,192759204361720599,443810671930408015,822660566528998012,612561864964774308,311996960446308772,191686299147459794,637250770104280855,266971694527992970,381085379457194598,660854836827182059,446423443412031377,137564728739953164,985253552114299661,185452069559464004,126482445292031373,379151470286325735,631498389332708696,357596316171791517,245070858637544962,510456247542402431,701917009154609151,144828463422823528,390659280357705446,505742516816141073,330310792073127032,51473726015988550,201918195071669626,510096628995310779,762770779324698332,518655630042654337,985834032987495106,596307654855087180,347233197403859240,509945886254841205,524403183258507355,994999315375578764,774761355167638182,877887793583382054,71431464758256427,975186463365015650,718784413814000676,234325720516900001,473957569097904977,731913073618253832,521815158527931580,425873225120423593,765596573839190188,231242796485852794,999395186649042934,409681532607875184,823562513360693239,412392608814341838,131330223862984294,790554159907518665,267698412297415273,840019886283096495,2843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    Returns: "Impossible"

  108. {961942281696206553,868723204450498935,705100467069343839,226023601788722580,37084936064737068,134222591922938108,862250567684126829,825422999480056324,278096466205622899,524017485601935403,633685037010206307,717699728144263367,792774244670902339,725175685091549541,793782004157290882,898046874867696217,565952893836294844,327448840534050684,504310972978121838,700387241167243575,501935572581986934,267102028343772463,603946840393581495,324017367962825127,951037703504535199,525349757085232325,175899500943068796,25547842658564242,766911256332969170,323638083782441503,724626116906891320,338007013814056653,109639254228846806,298167462387991979,263196584716840655,223036710218655112,272712679787851426,664449720599234473,175367754443396740,570184114359986385,344234601477873390,673851226889015802,42722438357211205,354562795626493506,704981179836366495,676841819979030567,466627971099182711,257740408164972978,514603325675865238,16487442206717795,279796704853791480,493165302111243079,887382739047318488,804348740108381640,169568639958084631,877140493819909492,585439619445266021,28494434928596592,486120734342992674,564962811326424645,56945902635437017,585075618897870074,87599249310493495,418788349707921865,201621081008450747,519317746202092192,792463216163250249,638190782953676892,527280295967099361,934059933642493852,431147295114603724,342605061499479044,456781714627124702,250947063896073979,470236391611689479,470623531507828070,748927364896288324,710344454518368401,490665042034910325,850306542312435391,344277330667668218,128115209691165457,612556487610405343,186274551993010171,942797205405260836,629499090482722034,700485459195948757,689614502780322156,490784674070352902,947543026201934858,337724976486348263,145773124308177079,305581068054091602,975586318139294169,801099075410355061,543320176848877963,916469972550296998,445872726581889947,398763082369105095,775361806560812364,734116214832428012,583224107000570052,269440303757963859,28546275618671630,188831791438158645,984379551632869116,224094870249517295,399775397446500245,348147462296729876,18937833880256420,957690409866243832,672637495358398895,609313777102147768,536645897412843373,549647984593642363,919634916775112536,615341729422779076,709447861643206196,2948784756448377,381224114963285929,394127745307894476,645957228711478592,421482645154950551,600311052344447179,427436540910416518,402101572718041865,721516502087365110,948028833929659944,260299654810702049,75331046998021459,869886265606349991,784110233305256605,609199827811507953,676871000291790704,325964623817464844,329046884941896865,355398707593095541,424980730711297443,683360375101260551,771470452504580491,563975421381501940,995998270950076114,150374477806792719,427583810027413985,765814835738644374,215868391775140683,88603262707894074,291781732266482264,753053343134853326,576800695537204656,767682804857690000,785671254742677689,994933733179168855,211378686299407339,757854663355422125,782193497760454603,980457144555860377,474200942991838335,590051818700225638,473324441412933880,823808815122997930,504843637346706397,35653028488882509,809439848145340917,508222323328371967,851108933068747443,128605725120753598,848740454264097781,312554760054090882,781609105321952802,305493915009373583,120188957009618238,614348801262436426,398476062691309694,85160930742656807,672275240384875734,393673491283079834,928066957095066144,571136907455442975,358286072115398219,960252057471239552,325814886433544894,980882684852630310,959873628553841,274478014454713565,706788079224726091,859314568654839904,632416188529345749,500014347555984713,563893923519808987,829113762305936263,58104191804209471,544896166487353470,858561015304017603,204797361068290352,357041661066585102,499932931674294322,563116037821459646,922651870918200152,241202087561738128,502129508958960539,628539208870803447,541304389288154006,496783159098438280,851731171585287758,994974257265135772,124178762295057010,176270402798677420,192759204361720599,443810671930408015,822660566528998012,612561864964774308,311996960446308772,191686299147459794,637250770104280855,266971694527992970,381085379457194598,660854836827182059,446423443412031377,137564728739953164,985253552114299661,185452069559464004,126482445292031373,379151470286325735,631498389332708696,357596316171791517,245070858637544962,510456247542402431,701917009154609151,144828463422823528,390659280357705446,505742516816141073,330310792073127032,51473726015988550,201918195071669626,510096628995310779,762770779324698332,518655630042654337,985834032987495106,596307654855087180,347233197403859240,509945886254841205,524403183258507355,994999315375578764,774761355167638182,877887793583382054,71431464758256427,975186463365015650,718784413814000676,234325720516900001,473957569097904977,731913073618253832,521815158527931580,425873225120423593,765596573839190188,231242796485852794,999395186649042934,409681532607875184,823562513360693239,412392608814341838,131330223862984294,790554159907518665,267698412297415273,840019886283096495,2843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    Returns: "Possible"

  109. {119325188301240661,936481917199201028,786127946045094126,996207458269777324,99088891508168252,481892176349051381,213885458352938557,175536692177768118,302235144466653501,252177363454840396,68421774573970727,325051992939259847,527007091196551574,751484371939078277,251592968231927412,362540809889497581,208801635463520613,99292463113077140,707755581502797156,839217743710908623,822269789559272788,539327646247016695,499391118144925799,778623833438528662,878042212028303637,956766139087834372,856767644132960853,495020251015917526,482836592757729901,439766901862573140,952845228014846774,482210371548947461,574150220797608663,944243984463408532,16412897788142367,461946152564542428,779562400153342815,329845404993184093,735810146966496005}

    Returns: "Impossible"

  110. {119325188301240661,936481917199201028,786127946045094126,996207458269777324,99088891508168252,481892176349051381,213885458352938557,175536692177768118,302235144466653501,252177363454840396,68421774573970727,325051992939259847,527007091196551574,751484371939078277,251592968231927412,362540809889497581,208801635463520613,99292463113077140,707755581502797156,839217743710908623,822269789559272788,539327646247016695,499391118144925799,778623833438528662,878042212028303637,956766139087834372,856767644132960853,495020251015917526,482836592757729901,439766901862573140,952845228014846774,482210371548947461,574150220797608663,944243984463408532,16412897788142367,461946152564542428,779562400153342815,329845404993184093,735810146966496005,24929615675266787}

    Returns: "Possible"

  111. {576460752303423486, 576460752303423485, 576460752303423483, 576460752303423479, 576460752303423471, 576460752303423455, 576460752303423423, 576460752303423359, 576460752303423231, 576460752303422975, 576460752303422463, 576460752303421439, 576460752303419391, 576460752303415295, 576460752303407103, 576460752303390719, 576460752303357951, 576460752303292415, 576460752303161343, 576460752302899199, 576460752302374911, 576460752301326335, 576460752299229183, 576460752295034879, 576460752286646271, 576460752269869055, 576460752236314623, 576460752169205759, 576460752034988031, 576460751766552575, 576460751229681663, 576460750155939839, 576460748008456191, 576460743713488895, 576460735123554303, 576460717943685119, 576460683583946751, 576460614864470015, 576460477425516543, 576460202547609599, 576459652791795711, 576458553280167935, 576456354256912383, 576451956210401279, 576443160117379071, 576425567931334655, 576390383559245823, 576320014815068159, 576179277326712831, 575897802350002175, 575334852396580863, 574208952489738239, 571957152676052991, 567453553048682495, 558446353793941503, 540431955284459519, 504403158265495551, 432345564227567615, 288230376151711743}

    Returns: "Possible"

  112. {576460752303423485, 576460752303423483, 576460752303423479, 576460752303423471, 576460752303423455, 576460752303423423, 576460752303423359, 576460752303423231, 576460752303422975, 576460752303422463, 576460752303421439, 576460752303419391, 576460752303415295, 576460752303407103, 576460752303390719, 576460752303357951, 576460752303292415, 576460752303161343, 576460752302899199, 576460752302374911, 576460752301326335, 576460752299229183, 576460752295034879, 576460752286646271, 576460752269869055, 576460752236314623, 576460752169205759, 576460752034988031, 576460751766552575, 576460751229681663, 576460750155939839, 576460748008456191, 576460743713488895, 576460735123554303, 576460717943685119, 576460683583946751, 576460614864470015, 576460477425516543, 576460202547609599, 576459652791795711, 576458553280167935, 576456354256912383, 576451956210401279, 576443160117379071, 576425567931334655, 576390383559245823, 576320014815068159, 576179277326712831, 575897802350002175, 575334852396580863, 574208952489738239, 571957152676052991, 567453553048682495, 558446353793941503, 540431955284459519, 504403158265495551, 432345564227567615, 288230376151711743}

    Returns: "Impossible"

  113. 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    Returns: "Impossible"

  114. 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    Returns: "Possible"

  115. {627253072126764890,934681439230750885,453286622126798926,188907239066671954,668729662074747816,855662655386400934,10432200374573959,20861028531944908,292278367848875278,865098150920710687,931653201029442710,263414268731017060,676191218493124752,82513643428205599,922834389748105790,375890381225926984,902504461207569548,894253435338318906,558089660877237987,28015951440225889,590556779044511786,929960634445461950,283980284022721112,95270543479009673,999565100534558838,714682534062554913}

    Returns: "Impossible"

  116. {627253072126764890,934681439230750885,453286622126798926,188907239066671954,668729662074747816,855662655386400934,10432200374573959,20861028531944908,292278367848875278,865098150920710687,931653201029442710,263414268731017060,676191218493124752,82513643428205599,922834389748105790,375890381225926984,902504461207569548,894253435338318906,558089660877237987,28015951440225889,590556779044511786,929960634445461950,283980284022721112,95270543479009673,999565100534558838,714682534062554913,501628074840825632}

    Returns: "Possible"

  117. {791881370206005758,93622363682738146,736953157714750895,481725650707830698,122571315118909053,793474698915358181,813565390805159295,643257048775202287,902583637524450678,769265816972657256,73148429626850284,177883215322887845,918709696354052398,725144077984480313,117906925843640316,403661947315423981,348401745641939646,186084595405157819,410458786202357228,201992753505066598,890482507098789051,895626081150168560,39703726947042866,696687306157340025,664166219595210348,908927257396912235,683973855294541920,558068223108319336,966535980207320943,215727172468878569,182721785944552237,747296280288645997,193814654105643902,131986467127290918,462938788206927593,756787607959970,365505053322072864,248528386526595121,646643756220873570,365308570980326122,661776784499051744,579876917700173555,63961066110268661,99537256440324010}

    Returns: "Impossible"

  118. {791881370206005758,93622363682738146,736953157714750895,481725650707830698,122571315118909053,793474698915358181,813565390805159295,643257048775202287,902583637524450678,769265816972657256,73148429626850284,177883215322887845,918709696354052398,725144077984480313,117906925843640316,403661947315423981,348401745641939646,186084595405157819,410458786202357228,201992753505066598,890482507098789051,895626081150168560,39703726947042866,696687306157340025,664166219595210348,908927257396912235,683973855294541920,558068223108319336,966535980207320943,215727172468878569,182721785944552237,747296280288645997,193814654105643902,131986467127290918,462938788206927593,756787607959970,365505053322072864,248528386526595121,646643756220873570,365308570980326122,661776784499051744,579876917700173555,63961066110268661,99537256440324010,929855290366388872}

    Returns: "Possible"

  119. 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    Returns: "Impossible"

  120. 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    Returns: "Possible"

  121. {379624108047111759,878502356028063705,394844322786271952,230755652995291414,218107008226775408,283137529394393861,374951836047318605,399700916188025908,307364685259079343,985440952030338053,530670044150117468,43750125675805845,557192520737646595,476476366721419317,655964656909448141,54922613940750609,434924930968235378,68835818310247945,840151299734963089,275018881975569694,634798450025739836,837444422853012408,133977681648919114,98002663742228906,543020245516240206,833016757228431969,574355227577982600,228010894769288675,19297086997544482,244990309613227859,730148138427166967,468679454794683433,922224652841384786,585468619553330581,926737133474913289,518840353364237045,875849126000101587,392195091492453538,527261332817265924,638334554433242224,975431102460580984,910651435486275122,253383414144546644,755458066542165189,405269700319581405,162338954322220261,636917184333488614,221800603827164419,830722960518416403,73187460670991851,254317081120899077,945434879905081373,210030451339411317,885206270492003028,230658416489925133,560101580558930524,984392440970026046,702639690730891199,154893089667105188,63837916147385800,64770405173106986,902946075390276550,294142088724665173,404774011581065997,867621934029889472,745889674713752173,835742778577496415,838521339926569137,999221724839224631,556664215158951343,83208349591413069,749852386183560622,105266939399603071,159315032969129181,429561540604602195,130752745631230990,352451026343058400,72854160375942312,47570799390368257,900689748432919113,399324496976094727,241957936086806143,11070111752566050,22625043611793525,780546970361945397,216090495875999956,809557663367138721,884918832122922828,981780027292100849,363534721451352642,567565484424043333,484370870875934887,267094674684870601,599320643294345239,755913742776909195,730438736984815465,193002401587653256,287174514660005295,586051935789892302,365247210709467589,505362129209151632,363799721249718716,387597809916611170,945431519938098965,910044848416256783,374997743492640767,428141701558206486,925011296117354617,920241666692604342,550395426728472226,582802166156280628,218311750649787678,433487079618875530,522317594954218043,703749579444401454,882646685031770643,453376959510479157,210781367687040927,152470384143687983,379439388509529704,496231876557498575,825163510668278055,836367072867444401,643776812786405473,105700578264269761,229577253204595306,381482171924376209,220535983667519582,968063586635756135,258335535812088167,666244971419933199,608437245029091500,143390049025633885,730528690140179733,136239168838826228,914628231041005066,506539334994948715,269210067137704504,288108174982928884,956375433443187806,385108474391585118,9661579603453714,978450696256139132,185940289485291984,67690513150914871,145376806596486191,244163906331680644,209918827479024815,107053707322356599,767567527435798544,371323644251373065,352619955621515069,439070226450094203,634063804208382079,601542630524827618,309500204498154348,891415675303039560,629592414422401545,192110579196458204,683348545419100234,243793226938163337,75973537348056258,640717660064890391,970367406362752183,288843490258529190,661440775241348878,158416078360573692,7973432608356209,295287913852615323,276290434763169343,976485859615005974,568711563384080180,957095868694604791,698597928796015239,150375693670891024}

    Returns: "Impossible"

  122. {379624108047111759,878502356028063705,394844322786271952,230755652995291414,218107008226775408,283137529394393861,374951836047318605,399700916188025908,307364685259079343,985440952030338053,530670044150117468,43750125675805845,557192520737646595,476476366721419317,655964656909448141,54922613940750609,434924930968235378,68835818310247945,840151299734963089,275018881975569694,634798450025739836,837444422853012408,133977681648919114,98002663742228906,543020245516240206,833016757228431969,574355227577982600,228010894769288675,19297086997544482,244990309613227859,730148138427166967,468679454794683433,922224652841384786,585468619553330581,926737133474913289,518840353364237045,875849126000101587,392195091492453538,527261332817265924,638334554433242224,975431102460580984,910651435486275122,253383414144546644,755458066542165189,405269700319581405,162338954322220261,636917184333488614,221800603827164419,830722960518416403,73187460670991851,254317081120899077,945434879905081373,210030451339411317,885206270492003028,230658416489925133,560101580558930524,984392440970026046,702639690730891199,154893089667105188,63837916147385800,64770405173106986,902946075390276550,294142088724665173,404774011581065997,867621934029889472,745889674713752173,835742778577496415,838521339926569137,999221724839224631,556664215158951343,83208349591413069,749852386183560622,105266939399603071,159315032969129181,429561540604602195,130752745631230990,352451026343058400,72854160375942312,47570799390368257,900689748432919113,399324496976094727,241957936086806143,11070111752566050,22625043611793525,780546970361945397,216090495875999956,809557663367138721,884918832122922828,981780027292100849,363534721451352642,567565484424043333,484370870875934887,267094674684870601,599320643294345239,755913742776909195,730438736984815465,193002401587653256,287174514660005295,586051935789892302,365247210709467589,505362129209151632,363799721249718716,387597809916611170,945431519938098965,910044848416256783,374997743492640767,428141701558206486,925011296117354617,920241666692604342,550395426728472226,582802166156280628,218311750649787678,433487079618875530,522317594954218043,703749579444401454,882646685031770643,453376959510479157,210781367687040927,152470384143687983,379439388509529704,496231876557498575,825163510668278055,836367072867444401,643776812786405473,105700578264269761,229577253204595306,381482171924376209,220535983667519582,968063586635756135,258335535812088167,666244971419933199,608437245029091500,143390049025633885,730528690140179733,136239168838826228,914628231041005066,506539334994948715,269210067137704504,288108174982928884,956375433443187806,385108474391585118,9661579603453714,978450696256139132,185940289485291984,67690513150914871,145376806596486191,244163906331680644,209918827479024815,107053707322356599,767567527435798544,371323644251373065,352619955621515069,439070226450094203,634063804208382079,601542630524827618,309500204498154348,891415675303039560,629592414422401545,192110579196458204,683348545419100234,243793226938163337,75973537348056258,640717660064890391,970367406362752183,288843490258529190,661440775241348878,158416078360573692,7973432608356209,295287913852615323,276290434763169343,976485859615005974,568711563384080180,957095868694604791,698597928796015239,150375693670891024,48276269369772742}

    Returns: "Possible"

  123. {516624837899694917,299223301053426410,855324680451490669,975160163634614113,348768727150382564,166807581022177250,840392593891297150,550507182428355187,848319333918687075,670219814110705864,791536501620520058,3374424694937333,782713086783822915,355810920972199932,738499809576055406,141246630939365203,854737884155856204,606661066120470340,464851106669357932,284527772447813584,109018115600039882,631511055245774843,17775240665064410,784222083897737048,206635469489708159,337977375123642048,7705458879779793,405945059145819467,714747338909396981,521795445675283670,559206702637291478,714525007216590956,263105533256411883,776888676032990323,285373796880452092,143074049734615270,852615317002838890,384149788754185070,737924517257310040,477277482904001012,340102500428579310,190346743509382495,262627316816513530,610522674722593787,702604923445601228,196066954238053196,766084008443799360,160216861066562121,892388641109903428,265108233636716893,437921338616122563,71544001693717078,652008792626918257,477242941279613930,940266117767651428,909390641924203870,159985687055632707,103401573494048245,529004705761242470,983775976717427945,443384936009517806,413410405777312981,188631877984869225,51215680788199641,479981199246316782,116222386194397529,389877643424835414,736412421433325025,877756939574085968,110928363894340066,218304356851674838,82503411193030220,888443022734008274,845727340452789313,536503944877698935,391764370180727660,619037371457551057,950954631955475787,255995011394809684,756965253542742734,661910968297513072,440782611126230342,35881416491676363,47830142471141085,753951077535858034,418886121376916704,92779508016335040,998914810966411587,193648549700826749,641628860581336041,747559975937412726,26580182074748915,89244069944001253,793742794468003444,633616983015555667,829111767529221452,523747593192683250,672541513592402793,416990121812062400,796579489124302434,219781774347856221,933890293529460341,739029546752034687,374554474058540394,840268923545920356,682720124411454965,405301562994877027,99100284119450191,793183404122506333,848933057461794149,2005066485798482,189694758768367430,315820703989869266,512514578190392945,679253006780207835,778332453632150001,38332744242936387,711486481714464753,438352621641876425,250997910461767788,906711248051697633,495536315288565110,778159492678472570,413765655621950958,829869073890080453,539660150080906853,860895707352039916,790535430687331781,411296958961217652,905370860199879648,993146409718604136,301181909279954535,258544984804535364,942420794149323764,808884655117399039,791022085618312017,741377422824716489,194041115823752426,78643800475608697,813880512243899245,800051495687172718,904447630832351849,522570793149308799,230149137127400772,540353231789388534,333374806428470908,649980846702073283,591534087859063363,276114530572241890,383571345695261785,896534317844841468,179207184827082741,855707910498982644,229604631159132528,991975756426366694,678543814781979897,933426810352975197,86025114930754280,880436350995381091,321449364435098945,510822948183230199,177827370774118877,45933117394237013,785714735294169572,327118026242284652,898365202096536661,622049930213949277,826454095794387830,957004170469370097,47516062791876454,46638295552437089,248645378364473304,764157338208794438,317552688647544410,273962414293623750,519177828044280286,81525990599947358,241704299221087,79527888100652794,792786959347105491,964802238303009614,257128095235295042,827396234043012082,556342179431812547,384685141350252384,477028480128013420,535466690268648672,966771623473416296,545220067004620368,882087696488327031,428483911119821637,345901179752487288,927947389074473211,85063599414484849,961672681585258572,341260351107170543,21417727429686233,1283940427520368,5946044841628480,342757004820679501,692839998457950275,19732209900739148,443140009305143629,637951355659765446,689429544884203109,987991896876713285,403994062615167829,582016432240622055,749955689907165298,144380468852952906,198062680797540674,91897781986246993,25106967223079619,985673132807925603,639248255746730845,291380530883632356,240224206301176665,203746780975225466,744823795637630156,694935733496069583,656036985496396525,429522128198596205,117566463640772717,344810728700294472,272031771850180082,545049609703880280,474009253719365607,791119597551404917,552201275071302739,650145730247023425,508767822549763694,870981546709102923,20304461629446471,597571330881072504,698728979431296111,55745566473734645,364222135169909592,985992153975646162,959708454734025928,48328192206498303,359863140412745051,513944992322120264,898013944147441355,370954808420042867,731762970475275982,359116273627330266,533461019315921144,367353979743598695,625861402293309012,397341734150453719,733698974370599635,162534977485881341,90182174083426917,397796597892838010,356482476842747610,733700845561773803,813412769448883156,959273068860545117,931818929764591345,830915018731602298,999822826206451829,637228284726185168,452172901451398740,741153932072842617,457459410497229892,3000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    Returns: "Impossible"

  124. {516624837899694917,299223301053426410,855324680451490669,975160163634614113,348768727150382564,166807581022177250,840392593891297150,550507182428355187,848319333918687075,670219814110705864,791536501620520058,3374424694937333,782713086783822915,355810920972199932,738499809576055406,141246630939365203,854737884155856204,606661066120470340,464851106669357932,284527772447813584,109018115600039882,631511055245774843,17775240665064410,784222083897737048,206635469489708159,337977375123642048,7705458879779793,405945059145819467,714747338909396981,521795445675283670,559206702637291478,714525007216590956,263105533256411883,776888676032990323,285373796880452092,143074049734615270,852615317002838890,384149788754185070,737924517257310040,477277482904001012,340102500428579310,190346743509382495,262627316816513530,610522674722593787,702604923445601228,196066954238053196,766084008443799360,160216861066562121,892388641109903428,265108233636716893,437921338616122563,71544001693717078,652008792626918257,477242941279613930,940266117767651428,909390641924203870,159985687055632707,103401573494048245,529004705761242470,983775976717427945,443384936009517806,413410405777312981,188631877984869225,51215680788199641,479981199246316782,116222386194397529,389877643424835414,736412421433325025,877756939574085968,110928363894340066,218304356851674838,82503411193030220,888443022734008274,845727340452789313,536503944877698935,391764370180727660,619037371457551057,950954631955475787,255995011394809684,756965253542742734,661910968297513072,440782611126230342,35881416491676363,47830142471141085,753951077535858034,418886121376916704,92779508016335040,998914810966411587,193648549700826749,641628860581336041,747559975937412726,26580182074748915,89244069944001253,793742794468003444,633616983015555667,829111767529221452,523747593192683250,672541513592402793,416990121812062400,796579489124302434,219781774347856221,933890293529460341,739029546752034687,374554474058540394,840268923545920356,682720124411454965,405301562994877027,99100284119450191,793183404122506333,848933057461794149,2005066485798482,189694758768367430,315820703989869266,512514578190392945,679253006780207835,778332453632150001,38332744242936387,711486481714464753,438352621641876425,250997910461767788,906711248051697633,495536315288565110,778159492678472570,413765655621950958,829869073890080453,539660150080906853,860895707352039916,790535430687331781,411296958961217652,905370860199879648,993146409718604136,301181909279954535,258544984804535364,942420794149323764,808884655117399039,791022085618312017,741377422824716489,194041115823752426,78643800475608697,813880512243899245,800051495687172718,904447630832351849,522570793149308799,230149137127400772,540353231789388534,333374806428470908,649980846702073283,591534087859063363,276114530572241890,383571345695261785,896534317844841468,179207184827082741,855707910498982644,229604631159132528,991975756426366694,678543814781979897,933426810352975197,86025114930754280,880436350995381091,321449364435098945,510822948183230199,177827370774118877,45933117394237013,785714735294169572,327118026242284652,898365202096536661,622049930213949277,826454095794387830,957004170469370097,47516062791876454,46638295552437089,248645378364473304,764157338208794438,317552688647544410,273962414293623750,519177828044280286,81525990599947358,241704299221087,79527888100652794,792786959347105491,964802238303009614,257128095235295042,827396234043012082,556342179431812547,384685141350252384,477028480128013420,535466690268648672,966771623473416296,545220067004620368,882087696488327031,428483911119821637,345901179752487288,927947389074473211,85063599414484849,961672681585258572,341260351107170543,21417727429686233,1283940427520368,5946044841628480,342757004820679501,692839998457950275,19732209900739148,443140009305143629,637951355659765446,689429544884203109,987991896876713285,403994062615167829,582016432240622055,749955689907165298,144380468852952906,198062680797540674,91897781986246993,25106967223079619,985673132807925603,639248255746730845,291380530883632356,240224206301176665,203746780975225466,744823795637630156,694935733496069583,656036985496396525,429522128198596205,117566463640772717,344810728700294472,272031771850180082,545049609703880280,474009253719365607,791119597551404917,552201275071302739,650145730247023425,508767822549763694,870981546709102923,20304461629446471,597571330881072504,698728979431296111,55745566473734645,364222135169909592,985992153975646162,959708454734025928,48328192206498303,359863140412745051,513944992322120264,898013944147441355,370954808420042867,731762970475275982,359116273627330266,533461019315921144,367353979743598695,625861402293309012,397341734150453719,733698974370599635,162534977485881341,90182174083426917,397796597892838010,356482476842747610,733700845561773803,813412769448883156,959273068860545117,931818929764591345,830915018731602298,999822826206451829,637228284726185168,452172901451398740,741153932072842617,457459410497229892,3000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    Returns: "Possible"

  125. {13993355567670253,845428193848360753,528786887060233981,916519717264878923,62393340549279165,774260501454003314,15960906019711848,239200443077765707,148704002304514200,464745398753414430,139888808693433067,681922641730833650,691702871966824402,441126214434045598,483761962393894377,356312568644559375,161818534417464623,763348116074136905,375867078238608611,179786656976012059,987350323029886443,338477199193294497,485542639334747727,860551583733054126,414222247591632301,663706399779885309,104448226850189790,682587773871737031,600663094713559872,277795666497534841,899915176731308407,107958008657618858,925486272376090286,673259944816979494,545532941202781627,132296771363811375,834634933292083744,979711441432601353,773757938533443722,817414952461570966,493206950612587470,783272670811719842,618970184444997811,122773965642245743,627245526812854556,5237578102938166,593395020035153012,178579231910280022,437197626583625863,635916843442664207,215794539737316395,194881934838646810,14978012238258197,477158902188933091,511627157234154811,284790033027202155,107029424625541317,735176554321443124,863630943207019187,924111913474424364,258023989631180737,383823111352201848,25732477422749329,233722077630561146,296570259098189399,968975643272190762,771621490281518437,627666638673257503,429041527823582684,710900594702594225,486310773207090668,770141144111354578,519265195111658824,76775421012151735,566638355786095569,44290828704656686,392081907264436830,338686382643902707,364958103917773892,863239360573557500,762834294228974098,79087614868840706,734912396172039956,482113725251206718,869410626502774872,113789237803775579,242682898604413683,429287719049775140,755310813212830484,862498636955210428,322233471764202146,499913852284963226,383165020217322869,881239918419273456,671402236351479778,340596625646576202,95644040360429234,221609493464699388,510648599602642920,609367400758261346,610371969788034269,277355863175695008,265955080049822005,618187377468843025,125301265905952666,500953623396324439,593423609469598436,269939132017613911,680969427393191937,608638227093760993,33198931983631309,286302935889705280,482194167378225990,179273983522584169,34766453855460085,148735208129504714,592882346094552107,329841347122064875,538573955332034299,338742083763701677,808148495476968809,347938375032355520,817067214269062966,502389838940469569,990557244597269731,179337974704465372,824752662774929686,35887416009066249,203644951552972155,693073143564897065,141579633163293933,88829397466876208,366305428219986716,186336310851025290,772636705181025650,997996307671652995,961750895404405441,50449362760465161,340763344104181263,70434207318174548,972200930049223043,44785717421397896,259727565195269820,563333226149619247,762159729026795920,441119646413323619,854381802019635787,725643292580192989,87684744796583406,455687270169326373,116697696509109436,374055612568978560,115626451975055431,935801427619370865,96001207530726866,521561893265352498,23748979098583883,639186314927591848,601710126004519178,512285368674154952,430315066150449524,527212175392380151,197637129389168403,788829405329586987,681280250662223503,834903159297926292,32302733630821040,266373933280996932,521753368283835880,261036167145174540,626185140087853854,321229341840074111,512834473646507755}

    Returns: "Impossible"

  126. {13993355567670253,845428193848360753,528786887060233981,916519717264878923,62393340549279165,774260501454003314,15960906019711848,239200443077765707,148704002304514200,464745398753414430,139888808693433067,681922641730833650,691702871966824402,441126214434045598,483761962393894377,356312568644559375,161818534417464623,763348116074136905,375867078238608611,179786656976012059,987350323029886443,338477199193294497,485542639334747727,860551583733054126,414222247591632301,663706399779885309,104448226850189790,682587773871737031,600663094713559872,277795666497534841,899915176731308407,107958008657618858,925486272376090286,673259944816979494,545532941202781627,132296771363811375,834634933292083744,979711441432601353,773757938533443722,817414952461570966,493206950612587470,783272670811719842,618970184444997811,122773965642245743,627245526812854556,5237578102938166,593395020035153012,178579231910280022,437197626583625863,635916843442664207,215794539737316395,194881934838646810,14978012238258197,477158902188933091,511627157234154811,284790033027202155,107029424625541317,735176554321443124,863630943207019187,924111913474424364,258023989631180737,383823111352201848,25732477422749329,233722077630561146,296570259098189399,968975643272190762,771621490281518437,627666638673257503,429041527823582684,710900594702594225,486310773207090668,770141144111354578,519265195111658824,76775421012151735,566638355786095569,44290828704656686,392081907264436830,338686382643902707,364958103917773892,863239360573557500,762834294228974098,79087614868840706,734912396172039956,482113725251206718,869410626502774872,113789237803775579,242682898604413683,429287719049775140,755310813212830484,862498636955210428,322233471764202146,499913852284963226,383165020217322869,881239918419273456,671402236351479778,340596625646576202,95644040360429234,221609493464699388,510648599602642920,609367400758261346,610371969788034269,277355863175695008,265955080049822005,618187377468843025,125301265905952666,500953623396324439,593423609469598436,269939132017613911,680969427393191937,608638227093760993,33198931983631309,286302935889705280,482194167378225990,179273983522584169,34766453855460085,148735208129504714,592882346094552107,329841347122064875,538573955332034299,338742083763701677,808148495476968809,347938375032355520,817067214269062966,502389838940469569,990557244597269731,179337974704465372,824752662774929686,35887416009066249,203644951552972155,693073143564897065,141579633163293933,88829397466876208,366305428219986716,186336310851025290,772636705181025650,997996307671652995,961750895404405441,50449362760465161,340763344104181263,70434207318174548,972200930049223043,44785717421397896,259727565195269820,563333226149619247,762159729026795920,441119646413323619,854381802019635787,725643292580192989,87684744796583406,455687270169326373,116697696509109436,374055612568978560,115626451975055431,935801427619370865,96001207530726866,521561893265352498,23748979098583883,639186314927591848,601710126004519178,512285368674154952,430315066150449524,527212175392380151,197637129389168403,788829405329586987,681280250662223503,834903159297926292,32302733630821040,266373933280996932,521753368283835880,261036167145174540,626185140087853854,321229341840074111,512834473646507755,769657219438606659}

    Returns: "Possible"

  127. 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    Returns: "Impossible"

  128. 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    Returns: "Possible"

  129. {563589858712590442,215008529663618467,234026348409233151,820496861624627644,541935390327106217,489122207445327187,433025881486131802,798589733031571643,219081921248047634,455457443247689970,534424586248567073,535041058122380376,499655433605316394,799754115240255703,803109428860738606,784008180319391599,156695535254624662,514347948940768329,830420489924800911,742133156332263975,734401881159679359,217001104556961175,231802195856821271,251293255829011973,227682358102922341,497589297686807945,784855981640838371,852205089731026846,202216784267823806,566143887920055947,721520525082855130,245210054120850978,514051722486795744,804185243427667470,162277353747401466,746280269456474614,549814479320092906,563560093553079282,544081864984250259,788994042913217805,208230629101625400,221823160843079024,555009789934979111,469242477863812120,498931403615801585,794912451215733963,535003791410947600,241382866486598114,848782122244588163,448676423086926996,168420985202652717,798129098713679886,782001653555406270,730025758073568787,480842520390350991,154772399493374719,214746958607820102,273887570905491366,752747260166905856,815677785616443340,772832591524942599,791943392554238478,570907567271000751,201768190908862098,446690550511685410,745085760526738063,490347151059099393,258772645910536397,242228817016142970,148983867984252970,535456444929878168,576328400802914576,228500816818146771,554620148617447719,857155868807687977,547346400116946887,761338659946788102,722055457178639000,486724429981046810,526795531092614891,444801265991110422,159251323026430844,215669370740216400,164544578030434652,863668125120600423,207670628375374748,788136619836403729,217441245924294603,737819295202432470,254480414957465885,757571673353365722,804905079012034792,152509718823223173,450870802182535450,451054631883745793,815160957481628888,245940839120342824,746296814924455629,444512244848012966,246417084620478498,824740250583560041,499814477498585602,816274251515754408,279485728952561701,267405330926631688,470542458446018698,859803083021205861,228425618648811144,849940164429597573,517694603730559078,568739348679974974,457302107885830275,461615838321174704,472229720818951666,803415769235966329,267884801205481107,567476361030790706,830985904718978992,203280018286389483,234196284418557974,554440477866415198,458736884521847167,449061041462434896,446349916810063697,737905274169748349,761186044644021009,848369949545890215,521875258185528530,209122954349871887,789377745771418811,535419791350487943,176234140023199361,211276115845903961,500010449271577962,791706618242759144,478624262762656285,805852419247622766,812915477943429914,252886989388129928,167322276714094784,850856682545628277,193185602222971879,740823223610243092,727724650209442501,483398124769620328,277195687045691239,554492752970227375,220206880776204264,214057119571968679,805631937999356563,263463480218787478,725259700120562715,494516370812230013,757895686875970197,727284942603115094,488184212658140795,437693265064533672,859586944319420117,442851939443062861,771755288449868136,486224958764286256,484727669012925811,836267415201673054,287579131412749422,194753775733609229,472795762342352520,448018340260085277,437689459419690869,853446155408215528,282464759951000121,799978662683827413,525418642779415811,486095054516931826,816627163028321629,458115274466463977,273612638845949939,775508349394265683,164326022840158565,258777406156505091,509922131000570455,477052733128033436,274475360535864279,159558734712097462,862290721335718361,249998954265464553,179904175373231610,155251447985563529,487814667514697803,498623952211566660,790118037519859454,842939878479946502,167145703115483747,182780031738467324,770595642160957476,539450684762464191,173710511245748548,557938203992393742,863890324435886149,263533488143661152,451310880177814182,521901296186796939,264900528831885114,218259855517299105,473637216275980809,548562631169885492,260581101739677094,208358398896879617,459032937405797793,845588482070674010,464336534054484512,463582902811542026,808746863999454288,250350251120283148,833431810154329077,223975786074138145,177215303427276811,255718141828445508,507622321826679045,731303709454523928,251311845711540079,831675260006023005,255180732644252016,768032127286662923,730952114976597313,542654410634752080,828293342007696314,793784339739436224,739646204305124751,229871076693394031,455494601388468121,187334458555599077,762811722406552486,482851383692370111,726522482553428038,474730652017385535,177691880305858286,178212294963588011,769755732116884640,724160370039181749,521247689800390811,850167627034130931,499916011559191732,515038571283461574,561242246895945238,803652257841887215,774205487203205764,173415299990655311,542134208276769517,750543711962939069,145038817956400788,724486809837649387,737410795314629010,450292728590196962,202931413879944334,559506087264616088,525190214737716046,223338771757499282,236848629547509903,254740930561750687,531670792843406874,738819071309212703,768765138770440450,506743364950903099,250747311930810355,542986128360181206,812483173628461157,830500279869598937,744044499121750895,807799505424305479,245236122490054433,174779032347403354,770843388113866792,197844168817857197,735857352655261189,522461444764892900,728383197021923098,270304875910010442,260046122978634991,739300140762069607,558431295950336473,175465607432699099,767470981629398477,833047127723439052,178881464607877999,510813641035668291,839665493081839166,157518849024152168,549363724377933881,180808584558442629,506256923016819829,800615360293523093,233556188355094307,541340056455919887,435657123733034389,805350425924668906,244777375959592496,493727621484815861,561480711055089582,738475497394752320,221564537375967426,157215824817365662,261411433556379585,811546312760744173,727366014801916538,474416723180119465,529166890354540060,837428802725403876,561399585117955338,727512149699945361,155972242286989728,552282581499704340,177320828693030659,492518748159355204,281375168004998375,558649922443334007,839545184027764414,814367513123602033,209196788192490124,197862575546267925,767674651621745524,861830247821337983,778632900786800496,173530618159116088,186772625267465596,528514451016868438,464848235404950912,232678187728760803,806788759282458097,440323070744832025,497122769159307747,755243229294741911,177939295721709843,564939376436162615,435506273257823096,559192933561014249,568827702847638002,251475628409158502,232455496668439614,769474942352914454,225252606039478177,452008490570911272,546445842927776244,450359296283354728,257011283260475121,280721622245946277,561736506078878679,454435484074146573,813034580596954049,860466118713710989,150525452457770514,731182311840371073,193217982920616852,826754676700518091,470769209911467353,723059841236153895,764228198833775177,156583982456722198,195944996158016029,762894764300588370,528097744474477735,270843171454133382,542721213300601633,174423321728190886,196801427110920255,273983792566732109,166399681467623171,184920685967742563}

    Returns: "Impossible"

  130. {563589858712590442,215008529663618467,234026348409233151,820496861624627644,541935390327106217,489122207445327187,433025881486131802,798589733031571643,219081921248047634,455457443247689970,534424586248567073,535041058122380376,499655433605316394,799754115240255703,803109428860738606,784008180319391599,156695535254624662,514347948940768329,830420489924800911,742133156332263975,734401881159679359,217001104556961175,231802195856821271,251293255829011973,227682358102922341,497589297686807945,784855981640838371,852205089731026846,202216784267823806,566143887920055947,721520525082855130,245210054120850978,514051722486795744,804185243427667470,162277353747401466,746280269456474614,549814479320092906,563560093553079282,544081864984250259,788994042913217805,208230629101625400,221823160843079024,555009789934979111,469242477863812120,498931403615801585,794912451215733963,535003791410947600,241382866486598114,848782122244588163,448676423086926996,168420985202652717,798129098713679886,782001653555406270,730025758073568787,480842520390350991,154772399493374719,214746958607820102,273887570905491366,752747260166905856,815677785616443340,772832591524942599,791943392554238478,570907567271000751,201768190908862098,446690550511685410,745085760526738063,490347151059099393,258772645910536397,242228817016142970,148983867984252970,535456444929878168,576328400802914576,228500816818146771,554620148617447719,857155868807687977,547346400116946887,761338659946788102,722055457178639000,486724429981046810,526795531092614891,444801265991110422,159251323026430844,215669370740216400,164544578030434652,863668125120600423,207670628375374748,788136619836403729,217441245924294603,737819295202432470,254480414957465885,757571673353365722,804905079012034792,152509718823223173,450870802182535450,451054631883745793,815160957481628888,245940839120342824,746296814924455629,444512244848012966,246417084620478498,824740250583560041,499814477498585602,816274251515754408,279485728952561701,267405330926631688,470542458446018698,859803083021205861,228425618648811144,849940164429597573,517694603730559078,568739348679974974,457302107885830275,461615838321174704,472229720818951666,803415769235966329,267884801205481107,567476361030790706,830985904718978992,203280018286389483,234196284418557974,554440477866415198,458736884521847167,449061041462434896,446349916810063697,737905274169748349,761186044644021009,848369949545890215,521875258185528530,209122954349871887,789377745771418811,535419791350487943,176234140023199361,211276115845903961,500010449271577962,791706618242759144,478624262762656285,805852419247622766,812915477943429914,252886989388129928,167322276714094784,850856682545628277,193185602222971879,740823223610243092,727724650209442501,483398124769620328,277195687045691239,554492752970227375,220206880776204264,214057119571968679,805631937999356563,263463480218787478,725259700120562715,494516370812230013,757895686875970197,727284942603115094,488184212658140795,437693265064533672,859586944319420117,442851939443062861,771755288449868136,486224958764286256,484727669012925811,836267415201673054,287579131412749422,194753775733609229,472795762342352520,448018340260085277,437689459419690869,853446155408215528,282464759951000121,799978662683827413,525418642779415811,486095054516931826,816627163028321629,458115274466463977,273612638845949939,775508349394265683,164326022840158565,258777406156505091,509922131000570455,477052733128033436,274475360535864279,159558734712097462,862290721335718361,249998954265464553,179904175373231610,155251447985563529,487814667514697803,498623952211566660,790118037519859454,842939878479946502,167145703115483747,182780031738467324,770595642160957476,539450684762464191,173710511245748548,557938203992393742,863890324435886149,263533488143661152,451310880177814182,521901296186796939,264900528831885114,218259855517299105,473637216275980809,548562631169885492,260581101739677094,208358398896879617,459032937405797793,845588482070674010,464336534054484512,463582902811542026,808746863999454288,250350251120283148,833431810154329077,223975786074138145,177215303427276811,255718141828445508,507622321826679045,731303709454523928,251311845711540079,831675260006023005,255180732644252016,768032127286662923,730952114976597313,542654410634752080,828293342007696314,793784339739436224,739646204305124751,229871076693394031,455494601388468121,187334458555599077,762811722406552486,482851383692370111,726522482553428038,474730652017385535,177691880305858286,178212294963588011,769755732116884640,724160370039181749,521247689800390811,850167627034130931,499916011559191732,515038571283461574,561242246895945238,803652257841887215,774205487203205764,173415299990655311,542134208276769517,750543711962939069,145038817956400788,724486809837649387,737410795314629010,450292728590196962,202931413879944334,559506087264616088,525190214737716046,223338771757499282,236848629547509903,254740930561750687,531670792843406874,738819071309212703,768765138770440450,506743364950903099,250747311930810355,542986128360181206,812483173628461157,830500279869598937,744044499121750895,807799505424305479,245236122490054433,174779032347403354,770843388113866792,197844168817857197,735857352655261189,522461444764892900,728383197021923098,270304875910010442,260046122978634991,739300140762069607,558431295950336473,175465607432699099,767470981629398477,833047127723439052,178881464607877999,510813641035668291,839665493081839166,157518849024152168,549363724377933881,180808584558442629,506256923016819829,800615360293523093,233556188355094307,541340056455919887,435657123733034389,805350425924668906,244777375959592496,493727621484815861,561480711055089582,738475497394752320,221564537375967426,157215824817365662,261411433556379585,811546312760744173,727366014801916538,474416723180119465,529166890354540060,837428802725403876,561399585117955338,727512149699945361,155972242286989728,552282581499704340,177320828693030659,492518748159355204,281375168004998375,558649922443334007,839545184027764414,814367513123602033,209196788192490124,197862575546267925,767674651621745524,861830247821337983,778632900786800496,173530618159116088,186772625267465596,528514451016868438,464848235404950912,232678187728760803,806788759282458097,440323070744832025,497122769159307747,755243229294741911,177939295721709843,564939376436162615,435506273257823096,559192933561014249,568827702847638002,251475628409158502,232455496668439614,769474942352914454,225252606039478177,452008490570911272,546445842927776244,450359296283354728,257011283260475121,280721622245946277,561736506078878679,454435484074146573,813034580596954049,860466118713710989,150525452457770514,731182311840371073,193217982920616852,826754676700518091,470769209911467353,723059841236153895,764228198833775177,156583982456722198,195944996158016029,762894764300588370,528097744474477735,270843171454133382,542721213300601633,174423321728190886,196801427110920255,273983792566732109,166399681467623171,184920685967742563,107858297233528756}

    Returns: "Possible"

  131. {106887574767001262,558996400249277830,953610431053126162,806621384768350524,722388496466797167,157397892059985486,746167824680370178,56332783223400374,261668781125363445,503750894326809187,305957231625753517,492270722646722871,220295093805100589,585108884873411630,763497984886711119,957503225504834368,36084826914229178,695916778465700215,583355456783849058,894732046690842466,794922518452964909,530980168893640527,523189996558823258,962768122299322017,520135794529785566,297485519183470066,171668316512526247,142264208319304597,368014027197631158,528741656887733255,135868512471971840,213324105310804347,91875636428343797,317357237986531422,464844102043314232,131710068022650992,618320928554625132,625767014997738362,813596254500646386,447740185968260742,87153988485426843,723516533909997331,630428658155748201,713601339417156740,642575886767556657,887686958222552704,910256844975075903,516992892691463637,706631611241580584,461604425084383261,224935527945377727,451829545476997233,791223535277504647,238311669922147979,536882715494694318,926661766385160594,800144205032600590,111662829125202351,159095240447809457,667273857718602540,382025069103307898,549209178172773084,633916871698325631,862968516630091038,333825075857440428,384958398662393083,52349160002940749,958601772535629888,797948803225887217,325500277063273751,440784343613949135,397721343569709682,571294625506936816,573692271911684900,944890170929229649,187795929089510471,857149303936983105,48319159102324523,765864810921155833,164571293644138862,774882056321176239,297358277452541756,935458234748292480,183564911414561173,24618898040820541,716671925503316214,831537040414885822,778404094741565577,811345374612371422,597115364054170947,804169476338456901,591299234113554576,705201823000656932,373147722845735515,944528276114783651,647248763437308242,194915809939775752}

    Returns: "Impossible"

  132. {106887574767001262,558996400249277830,953610431053126162,806621384768350524,722388496466797167,157397892059985486,746167824680370178,56332783223400374,261668781125363445,503750894326809187,305957231625753517,492270722646722871,220295093805100589,585108884873411630,763497984886711119,957503225504834368,36084826914229178,695916778465700215,583355456783849058,894732046690842466,794922518452964909,530980168893640527,523189996558823258,962768122299322017,520135794529785566,297485519183470066,171668316512526247,142264208319304597,368014027197631158,528741656887733255,135868512471971840,213324105310804347,91875636428343797,317357237986531422,464844102043314232,131710068022650992,618320928554625132,625767014997738362,813596254500646386,447740185968260742,87153988485426843,723516533909997331,630428658155748201,713601339417156740,642575886767556657,887686958222552704,910256844975075903,516992892691463637,706631611241580584,461604425084383261,224935527945377727,451829545476997233,791223535277504647,238311669922147979,536882715494694318,926661766385160594,800144205032600590,111662829125202351,159095240447809457,667273857718602540,382025069103307898,549209178172773084,633916871698325631,862968516630091038,333825075857440428,384958398662393083,52349160002940749,958601772535629888,797948803225887217,325500277063273751,440784343613949135,397721343569709682,571294625506936816,573692271911684900,944890170929229649,187795929089510471,857149303936983105,48319159102324523,765864810921155833,164571293644138862,774882056321176239,297358277452541756,935458234748292480,183564911414561173,24618898040820541,716671925503316214,831537040414885822,778404094741565577,811345374612371422,597115364054170947,804169476338456901,591299234113554576,705201823000656932,373147722845735515,944528276114783651,647248763437308242,194915809939775752,7833721400344671}

    Returns: "Possible"

  133. 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    Returns: "Possible"

  134. 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288230376151711743}

    Returns: "Possible"

  135. {1}

    Returns: "Impossible"

  136. {1,1}

    Returns: "Impossible"

  137. {1,2}

    Returns: "Impossible"

  138. {3,5,6}

    Returns: "Possible"

  139. {3,5,7}

    Returns: "Impossible"

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