Statistics

Problem Statement for "LR"

Problem Statement

We have a cyclic array A of length n. For each valid i, element i-1 the left neighbor of element i. Additionally, element n-1 is the left neighbor of element 0.

You are given two long[]s s and t, each with n elements. Currently, we have A[i] = s[i] for each valid i. Our goal is to have A[i] = t[i] for each valid i.

We can use two operations that modify the contents of A:
  • Operation L: Each element is increased by the value of its left neighbor.
  • Operation R: Each element is increased by the value of its right neighbor.
Note that all changes happen simultaneously. For example, if you use the operation L, the new value of A[7] is computed as the sum of the old value of A[7] and the old value of A[6].

If there is no way to reach the desired goal state, return "No solution". Otherwise return any valid way of doing so by using at most 100 operations. More precisely, return one valid sequence of operations encoded as a String of 'L's and 'R's.

If there are multiple valid solutions, you may return any of them. In particular, you are not required to find the shortest valid solution. Any valid solution will be accepted as long as its length does not exceed 100. We can prove that if there is an valid solution then there must exist one with length at most 100.

Definition

Class:
LR
Method:
construct
Parameters:
long[], long[]
Returns:
String
Method signature:
String construct(long[] s, long[] t)
(be sure your method is public)

Constraints

  • s will contain between 2 and 50 elements, inclusive.
  • s and t will contain the same number of elements.
  • Each element in s will be between 0 and 1,000,000,000,000,000 (10^15) inclusive.
  • Each element in t will be between 0 and 1,000,000,000,000,000 (10^15) inclusive.

Examples

  1. {0,1,0,0,0}

    {0,1,2,1,0}

    Returns: "LL"

    The first operation L will change A into {0,1,1,0,0} and then the second operation L will produce the array we wanted.

  2. {0,0,0,1}

    {0,1,0,0}

    Returns: "No solution"

    Even though A is cyclic, the precise indices matter. Here, s and t are two different configurations, and there is no valid way to change this s into this t.

  3. {1,2,3,4,5,6,7,8,9,10}

    {12,24,56,95,12,78,0,100,54,88}

    Returns: "No solution"

    Regardless of the type and order of operations all elements of A will always remain positive. However, t contains a zero. Therefore, t cannot be reached.

  4. {1,0,0}

    {11,11,10}

    Returns: "RRRRR"

    The sequence of five operations R will change the array A as follows: {1,0,0} -> {1,0,1} -> {1,1,2} -> {2,3,3} -> {5,6,5} -> {11,11,10}.

  5. {1,1}

    {562949953421312,562949953421312}

    Returns: "RLLLRRRLLRRRLRLRRLLLLRLLRRLRRRLRRLRRLLRRRLLRRRLLL"

    We start with A[0] = A[1] = 1, and we want A[0] = A[1] = 2^49. We can easily verify that in this case each operation changes A from {x, x} into {2x, 2x}. Therefore, any string of exactly 49 'L's and 'R's is a valid answer.

  6. {0,0,0,0,0}

    {0,0,0,1,0}

    Returns: "No solution"

  7. {123,456}

    {123,456}

    Returns: ""

  8. {0,0,0}

    {0,0,0}

    Returns: ""

  9. {3, 9, 2, 3, 9, 1, 4, 10, 6, 5, 8, 3, 6, 1, 2, 2, 9, 3, 9, 10, 3, 7, 1, 6, 3, 8, 5, 8}

    {83710196, 84378833, 87270438, 91353098, 94876178, 96008671, 93613749, 87806270, 80067296, 72872255, 68879801, 69859988, 75791442, 84668449, 93266604, 98565329, 99119303, 95661301, 90602451, 86697918, 85639005, 87362234, 90375202, 92758097, 93181348, 91433025, 88343755, 85311300}

    Returns: "LLLLLLLLLRRRRRRRRRRRRRRR"

  10. {237170603329, 339831575872, 518674648602, 865954233545, 535668084605, 895712362062, 884877852369, 768845204235, 549309242065, 175680815566, 912485701181, 404621101300, 169656381133, 813802207723, 625282683745, 152312855071, 289359010904, 15633890517, 703491400039, 856989448632, 178219063194, 448552571445, 579829578494, 763755679520, 693448384036, 724561894411, 456015483014}

    {3678643510296, 5029386306918, 5619253965114, 6044973425915, 6646283932133, 6406190773939, 5015022006835, 3856301078309, 4218429893606, 4296657604142, 3449120356203, 3980279551613, 4639223910608, 3435947835075, 1965932172187, 1770782959373, 3303724331204, 4875295499724, 4257669506962, 3317133931043, 4027121192531, 5172756729523, 5676003663573, 5473801997875, 4472351119640, 3143951729312, 2705696669219}

    Returns: "RRR"

  11. {21908500416774, 10905077905108, 7970073202649, 8790474399988, 10055178678694}

    {793714253579609, 869897690310969, 798199733944279, 678580502297696, 675883314473079}

    Returns: "LLLLRR"

  12. {101050778769791, 95841129136031, 38206016616070, 52947343694832, 110898303010088, 19456413227144, 94519307526575, 38207510432140, 9697893747741, 61299434953913, 49126801396771, 57766394101665, 83226178922216, 10983897051174, 100126293978732, 3081454295641, 121501618940364, 72246698483570, 96900081882040, 49166215436962, 7918615181471, 110506486096231, 62745018091430, 125472815058455, 81216398703332, 85063887524291, 13040505596036, 104363294603247, 109748022540317, 92157204926795}

    {785213102766106, 721038945260331, 556139559720926, 480199513078825, 549199369957974, 538530799933103, 491032975703385, 427334760851030, 299534955020131, 300326297933873, 398742996901458, 465205200371437, 483088417519588, 440522916000567, 419638206307575, 442108760814657, 546122212170317, 681226488449483, 678108175474156, 518364205622047, 378661059833570, 467186537361498, 653145942802909, 756376384249218, 767876546901082, 637354179337360, 479892872667560, 547023310662457, 747531661953523, 811129755774374}

    Returns: "LLR"

  13. {185585401569612, 10747682849483, 121428596786080, 231805769963336, 126059919694548, 60594362205733, 233399826314749, 32474171254666, 226784546810074, 54821279627328, 73224174466342, 217269875521461, 186578741270908, 92139199333508, 138259136999591, 129317531547913, 107038963199862, 43765547161541, 69297126493375, 139698585816622, 90268316795897, 123274263986781, 246961927536886, 217879393663504, 20655703025132, 137533497544757, 220475607033903, 199968485491951, 65939014432741}

    {328509364054658, 485410646384979, 711100056407300, 544519971558165, 480648470420763, 559868186089897, 525132715634155, 540864544502142, 409651280531072, 418539504081473, 694342666780172, 682566557396785, 509116276937515, 497975004880603, 503933163295279, 387161005109178, 263867184016319, 322058385964913, 438962614922516, 443509483395197, 583778772306345, 835077512724057, 703376417889026, 396724297258525, 516198305148549, 778453197104514, 686351592450546, 517431915927045, 447857500421448}

    Returns: "RR"

  14. {16693872609393, 63772273457783, 1702005366297, 1310076797910, 15173189927840, 33346808777472, 41930875346576, 12961069344975, 18131886168808, 58176291752315, 1249314783693, 700126838500, 26694522092303, 6292497885096, 48864837083023, 38651081466166, 23973147347791, 58218608585272, 62000532485212, 24319153600643, 36448836792224, 51659376382165, 58218622899204, 47980625528700, 15069437474591, 60541825513796, 52852773780178, 1408502153204, 33073881155620, 60747817464884, 26652670852813, 37758163012767, 48689383754376, 10224546263889, 59637563623387, 53352454622486, 50674250704625, 18257445677591, 36129755976750, 19365221379908, 12167869015573, 51775128810679, 55453631877567, 37206061228864, 4108266492812, 11020342401786}

    {250308945506183, 405143970953743, 468547571849154, 302408495757787, 172480324199263, 273299562581441, 442768259905381, 470121840665892, 409540562661173, 436520951532277, 440243750507369, 287827971326529, 180444898172395, 238251783314918, 379343632316546, 523631009343280, 587769532990620, 642183013860733, 756176605910453, 762576227794947, 649590383681039, 642826296068992, 760925876188045, 799390019305499, 693237196563341, 635577825696912, 684328925783756, 613061271979279, 473447275641096, 526574010039063, 642559777989007, 635703211937478, 598889560234131, 570357374109080, 585765684729639, 711497019744823, 789843976988444, 686252425028195, 529478376793440, 430111323810694, 379414402737010, 449152002710103, 637708059045406, 704922686931959, 524279432067165, 289702717966432}

    Returns: "LLLR"

  15. {5175, 2068, 863, 7003, 4961, 5184, 1972, 1979, 6359, 5790, 676, 675, 3518, 6028, 6644, 5308, 6569, 838, 2135, 5078, 2035, 895, 644, 3303}

    {518231991931544, 529552134426081, 531165678353275, 525511557787912, 516775217212361, 510078823119018, 510223265401286, 519914339850917, 538015922834649, 558981762654937, 574378815951875, 576181118397485, 560210039467406, 527881349768533, 485505209110147, 441843386770031, 405342533310351, 382141666223430, 375175202608002, 384149362532043, 406056262299561, 435995564231681, 468179017794743, 497028090513132}

    Returns: "LLLLLLLLLLLLLLLRRRRRRRRRRRRRRRRRRRRRR"

  16. {218, 342, 149, 108, 354, 333, 238, 406, 356, 500, 253, 439, 90, 483, 96, 77, 75, 371, 371, 99, 3, 499, 71}

    {173352158733553, 178464525958954, 179579050006118, 176254161146644, 168868454251613, 158584210479536, 147095533460239, 136206233854800, 127357730557949, 121281286980416, 117923826695871, 116671636261401, 116738076477601, 117507715049321, 118698499903460, 120348032870944, 122720145338000, 126203877656412, 131199524209608, 137956790586823, 146378669277452, 155872059416660, 165339532996353}

    Returns: "LLLLLLLLLLLLLRRRRRRRRRRRRRRRRRRRRRRRRRR"

  17. {105499230674543, 212097857866092, 119379960712455, 165522745850589, 90753274461230, 201678064089263, 7709766469158, 70925513262134, 145599802753506}

    {568696121968684, 649074907119182, 616380525141591, 541178726874863, 548707358862312, 501819169108914, 288023110289713, 295160595746932, 467624349443689}

    Returns: "LR"

  18. {332523678040198, 815801212924544, 856295867467769, 231329107502197, 893189736861532, 444419823613732, 873962923118807, 275330336623120, 824663409050161, 755871573694599, 600759277591858, 533735276484512, 92884520998381, 500885116935059}

    {332523678040198, 815801212924544, 856295867467769, 231329107502197, 893189736861532, 444419823613732, 873962923118807, 275330336623120, 824663409050161, 755871573694599, 600759277591858, 533735276484512, 92884520998381, 500885116935059}

    Returns: ""

  19. {3014664446, 2945570445, 3737032308}

    {847359850686264, 847360642148127, 847359919780265}

    Returns: "LLRRRRRRRRRRRRRRRR"

  20. {644338, 204256, 70631, 455013, 492411, 29222, 661341, 528491, 563047, 163848, 321470, 393970, 184487, 394847}

    {826888666525798, 800954021338723, 775895795298511, 757186292393064, 745322323346786, 738205949038590, 734969130033300, 737824801870228, 750368096466247, 773732982503445, 803721590817861, 831344579783035, 846833324638025, 844750300199443}

    Returns: "LLLLLLLRRRRRRRRRRRRRRRRRRRRRRRR"

  21. {35152659733884, 47162260241255, 30782437110294, 27589581745237, 1598518215985, 8718588605624, 54206981988493, 3056754375231, 25469920042909, 34626594022327, 57250647021782, 50249707629337, 40980990431011, 4370298162207, 55494071097984, 50607752282470, 55372725372369, 34690767157359, 38101269786809, 35246772716909, 50520676277353, 6693573152591, 18479306370638, 3901980562732, 55076241417618, 17345950522102, 11967950578831, 55266423695975, 41638972340782, 58661451058280, 34518379079871, 59758200484695, 48153255404179, 42650642311112, 16134154519498, 29885992356077, 28278180645165, 54134416087947, 10440628539395, 26097255771666, 51565407099344, 27649492869851, 37512392389246, 11780175147123, 2778046549268, 49352777159134, 1677560225018, 40068713118263, 27369357631225}

    {441105387027568, 513941457662211, 579893580121781, 601672888200704, 520453168557601, 350942160623417, 239813209798141, 306179868572124, 399411702113272, 380393317004945, 415010542857961, 591948294397294, 749459999211268, 733421687771728, 577110683872008, 512979495001029, 649230344169992, 786174764895798, 767025770878323, 667895108580245, 614251179867648, 607352760868052, 527466017299565, 355310122787151, 258854970780091, 341673598204109, 445896429794513, 431420875377115, 458972414103694, 622033635434684, 752031662720414, 771622736212962, 770581108396087, 790547834213762, 749207437207671, 602697686402152, 463382901835088, 453750353194173, 532325500705979, 535664981393665, 463414046419331, 486391586142750, 572332458090773, 560085586092255, 437136480051984, 308845076665779, 300390041134900, 365787978317334, 397898726640189}

    Returns: "LLLL"

  22. {3286875, 1101812, 930809, 3965642, 4048708, 2486178, 3304284, 4234837, 3630737, 3256494, 2973476, 1157819, 2575189, 2186730, 578393, 210937}

    {708671831882864, 779514950962232, 832907595084436, 861620416525844, 861916090272360, 833701094521144, 780830867900140, 711001599108028, 634670740313680, 563283519899912, 507552425991788, 476113088929388, 474330206946008, 503132037812616, 558289165502484, 630802216134596}

    Returns: "LLLLLLLLLLLRRRRRRRRRRRRRRRRR"

  23. {25032, 28325, 40872, 3982, 34982, 55743, 53764, 22138, 45309, 4118, 2270, 8087, 54814, 1580, 1945, 7310, 20192, 48397, 16122, 43738, 47004, 19031, 53548, 22199, 29942, 18130, 39850, 39160, 21400, 13238, 9360, 18252, 1155, 45878, 717, 21544, 37095, 42448, 36515, 12084, 34943, 60158, 56610, 39813, 38660, 3217, 18202, 59028, 8583, 53483}

    {549521428581840, 513083868285315, 464262127386252, 411782704993014, 364766688757002, 329893507490614, 310764345132249, 308886083746519, 324532290006755, 356401322981818, 400611773989750, 450454869068090, 497708910472937, 534993568624002, 557869538646433, 565641925048738, 560633700552791, 546430227091663, 526010181344732, 500735323413732, 470767035227080, 436627299654446, 400790055810565, 368073984501535, 344428672375297, 334838703138600, 341592509016540, 363758420521757, 397890710033039, 439423317764532, 484059668465904, 528523532857324, 570283421622439, 606496790600580, 633224023555178, 646108168632035, 642638687765890, 624501836768017, 597939600835527, 571328917849158, 551384360507603, 540539979956816, 537157190649358, 538053651469607, 541230240333847, 546744078868440, 555213906573271, 565271836641720, 572142585156185, 568829732830392}

    Returns: "LLLLLLLLLLLRRRRRRRRRRRRRRRRRRRRRRR"

  24. {25982289049754, 4493334467822, 11893539129982, 16286179718356, 6404526798196, 12124199540203, 37888741977786, 32606945303621, 17060477902078, 5031187209194, 22833257427064}

    {561988695793685, 530958560893183, 564732090185320, 499707584888540, 404448864043850, 374392983403427, 389377834962053, 500662356298303, 728533433309409, 862315974032865, 746231334959157}

    Returns: "LLLLL"

  25. {5, 3, 4, 2, 1, 6, 4, 4, 3, 3, 2, 1, 4, 3, 6, 5, 3, 3}

    {5, 3, 4, 2, 1, 6, 4, 4, 3, 3, 2, 1, 4, 3, 6, 5, 3, 3}

    Returns: ""

  26. {128, 328, 399, 40, 445, 426, 474, 375, 487, 429, 94, 5, 369}

    {497, 456, 727, 439, 485, 871, 900, 849, 862, 916, 523, 99, 374}

    Returns: "L"

  27. {53607436241, 169592401072, 380136902592, 41087258071, 296335132228, 58931561308, 82921847542, 123626426733, 45466134787, 329758771507, 15860874417, 190778427, 65744756004, 289066396185, 222859840375, 9205108200, 56941354409, 255691453212, 251681865909, 257584649150, 128479996725, 138498463506, 62003832387, 315096779141, 37903462357, 35680229325, 42379343044, 196279415278}

    {700375587920299, 757737702325855, 739419652152934, 659660344706999, 563977500139607, 500276070965692, 485532525620462, 491458260878024, 476512762728401, 443169811415796, 440917973846670, 494223956757707, 558926346544882, 584057127635347, 588810584426902, 632134231986614, 720111738667860, 789501680481835, 785246191714058, 720324795111907, 646649716099169, 588359297815530, 528127292796389, 455934709040686, 401854280870630, 406561198247593, 478968185302073, 592031151460751}

    Returns: "LLLLLRRRRRRR"

  28. {62, 21, 14, 39, 39, 50, 17, 18, 20, 14, 15, 1, 29, 58, 44, 12, 3, 26, 53, 43, 27, 41}

    {251447245, 268549806, 288644173, 304625144, 311514122, 308827548, 299990180, 289639110, 280296755, 270598046, 256734939, 236208626, 210793239, 186449872, 170596590, 168536892, 180545526, 200979994, 220826531, 233218075, 238131084, 241887271}

    Returns: "LLLLLLLLLLLLLLLLLRRRRRR"

  29. {22, 22, 11, 6, 20, 10, 6, 20, 1, 15, 23, 6, 5, 22, 11, 7, 13, 7, 12, 20, 11, 16, 11, 5, 5, 19, 12, 2, 12, 21, 15, 10, 22, 24, 12, 6, 9, 3, 22, 22, 20, 16, 16, 3, 8, 17, 12, 8}

    {56950113962, 55587007445, 55698127429, 56983076866, 58655384785, 59845272371, 59974647575, 58945831398, 57096956626, 54992448152, 53175915555, 51991040921, 51511351279, 51569795939, 51859706833, 52067731242, 51989636017, 51590719630, 51004180650, 50480002729, 50288932616, 50586894066, 51287368488, 52035244299, 52347984628, 51875478227, 50621031001, 48974082430, 47538135908, 46879924495, 47352523541, 49047125415, 51816199485, 55291900645, 58894651721, 61897751693, 63610266551, 63659191443, 62243368601, 60172400335, 58570011682, 58322829901, 59573167692, 61597444913, 63194950557, 63370493398, 61890281282, 59381206511}

    Returns: "LLLLLLLLLLLLLLLLLLLLLRRRRRRRRRRR"

  30. {3, 2, 5, 4, 4, 3, 3, 2, 1, 1, 3, 4, 2, 4, 4, 1, 4, 4, 3}

    {217015458831, 205019733933, 192029130799, 181070409045, 174740112973, 174219469138, 178922205511, 186923974992, 195891454016, 203994663734, 210383705445, 215133696659, 218851609990, 222210060289, 225560781879, 228670107330, 230630620890, 230064439974, 225678538524}

    Returns: "LLLLLLLLLLLLLLRRRRRRRRRRRRRRRRRRRRRR"

  31. {197899, 422645, 260021, 138081, 152439, 179426, 318319, 247991, 25503, 300402, 374922, 505700, 298457, 421424, 217632, 55879, 22582, 255339, 395297, 395261, 400363, 28752, 128632, 247757, 146007, 455936, 137450, 27168, 73976, 265664, 379531, 370561, 496532, 101640, 95139, 178818, 253706, 373674, 152252, 84045, 491297, 69608, 277312, 490480, 193235, 43698, 121486, 93883, 289782, 186674}

    {65498915, 68132887, 62948491, 54185827, 50233132, 52739523, 55342865, 54911255, 57837870, 70090346, 86348403, 95568302, 92300779, 77860649, 57810831, 42763871, 43403260, 59301010, 76970162, 81693126, 70633507, 54682571, 47129427, 51018971, 57999293, 57402292, 47450379, 38769038, 43306895, 60758716, 79433047, 86842216, 78374794, 61336222, 49857705, 51006250, 58099229, 61113728, 59509847, 59251232, 62383323, 67182632, 71239346, 68936992, 56695769, 41838434, 35625475, 40095431, 49122712, 58073935}

    Returns: "LLLLRRRR"

  32. {279085658445, 776104548086, 521144470995, 292012762874, 659521404617, 429194919758, 115387536997, 744944522839, 33114951198, 755402925456, 681310111524}

    {549580443850513, 527724580066037, 498965344279222, 467042775600279, 436540016307590, 418976746972985, 428408935160674, 466063692446400, 513846494044368, 548175814682953, 558792340884915}

    Returns: "LLLLRRRRRR"

  33. {453, 294, 1022, 164, 679, 1144, 832, 545, 673, 627, 164, 648, 1153, 515, 67, 876, 741, 851, 579, 755, 810, 133, 115, 157, 395, 872, 124, 715, 630, 551}

    {453, 294, 1022, 164, 679, 1144, 832, 545, 673, 627, 164, 648, 1153, 515, 67, 876, 741, 851, 579, 755, 810, 133, 115, 157, 395, 872, 124, 715, 630, 551}

    Returns: ""

  34. {40000800597, 68180244962, 28139157049, 113188680091, 110953441278, 5108943397, 108453854666, 78681618329, 98875320096, 32249415479, 83483032730, 20888107661, 12215032544, 77361867593, 114474440165, 58294021509, 43928613986, 93829576691, 57231475266, 1451343620, 53690560067, 74496770602, 32310907089, 96134814301, 44070679584, 52993606464, 106345833906, 68591454423}

    {554787517544315, 549496575574505, 530767768513029, 520593660120282, 537073314206611, 572434805492957, 602655361883743, 616311459464901, 620533073021327, 618576999146120, 598158418532277, 548884760176388, 482551652818316, 431427449049074, 425925986938845, 467990827259436, 525407747235764, 558651099473000, 551579569778849, 513077024952361, 461767495924762, 419216646376027, 404751584544720, 422401163635625, 457354589433001, 491784430416157, 519640243162361, 542107422401087}

    Returns: "LLLLLLLLLRRRR"

  35. {2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1}

    {208807485945, 202421278064, 195405768892, 188413132677, 181996445379, 176564514821, 172470770035, 170174864090, 170305086553, 173453952757, 179717466380, 188237591356, 197120443723, 203944706962, 206715681548, 204799263217, 199318866027, 192768715326, 188022975482, 187235175998, 191140429686, 199007320180, 209128521477, 219516574729, 228486503894, 234981016105, 238657691377, 239807359929, 239143673908, 237496544131, 235496873285, 233394153926, 231112329182, 228510546384, 225667170273, 222973306388, 220951915247, 219921620648, 219740695421, 219804169735, 219284965238, 217460676981, 213953732324}

    Returns: "LLLLLLLLLLLLLLLLLLLLLRRRRRRRRRRRRRRRR"

  36. {4953091021610, 3907610755147, 7462974033028, 2576529342274, 5531003066673, 614631998601, 154995405622, 4275911937310, 3491139041489, 1686642468005, 7932305382329, 1424965087892, 5535205045256, 4804225130893, 513634293404, 1796064898041, 7225421514864, 5860297896108, 4397495295716, 4563398640832, 2048426623108, 5899133535875, 6754038686760, 3797128138156, 6651677627504, 752724565934, 936274744488, 6497498276400, 6091085147414, 6604841360957, 7790756574170}

    {770748602172252, 706344588074357, 656564286073148, 596513321515059, 491060607061657, 362030198579408, 284505469418822, 302335302311859, 377305709425207, 454804477043164, 513538400893168, 542020359673604, 531762236707235, 479601299117890, 414427058157361, 419053032234628, 524115247103778, 630456825746570, 639912193460778, 580136491622690, 546965995434407, 585705129004553, 649273431518771, 657965605011633, 579744012966723, 463306514731263, 417824042893461, 508285577342941, 670372994677677, 790296675338722, 817008639277294}

    Returns: "LLLLRRR"

  37. {615119966767, 432318858014, 26423698770, 382244143895, 540959860331, 184209657886, 569384586991, 480866013565, 101610202373, 547232959572, 539939381060, 617389323679, 656873577451, 297116127205, 644838857835, 314912776624, 581389250526, 256397217576}

    {471590678225348, 458337429431431, 443745081813249, 416289535804810, 377016643137309, 348577408303839, 350817830264169, 375838428558345, 399878489695214, 408799023086930, 409180353094336, 423355080342231, 465599432771320, 519304010306130, 550933490716425, 546115490759643, 519321947864070, 491467540988081}

    Returns: "LLLLLLLLRR"

  38. {5895885, 2662790, 667893, 4707174, 1297641, 9318338, 7322093, 7547338, 1172476, 2673917, 1500189, 2951074, 1351796, 4992615, 2002320, 8566604, 8803173, 5637286, 7120614, 4948202, 3377027, 5666223, 7903531, 2622688, 2863360, 4353086, 7218296, 10139287, 7024726, 3056941, 982556, 2629430, 8650061, 4349272, 6720965, 772732, 1622783, 8394949, 8043994, 6756996, 6145306, 1782082, 5120390, 7093959, 5863811, 8366260, 7356194, 259003}

    {90397912, 65591384, 55086569, 47198029, 40680740, 48086308, 71877880, 102643476, 113865379, 91254559, 56742158, 37232574, 34025370, 36780916, 43388041, 54889832, 76405765, 105251497, 118757532, 111033670, 97245836, 82983285, 77744007, 86690460, 86817217, 68823001, 60205083, 79207115, 111167354, 125217837, 103134120, 63139491, 44315607, 61713261, 87518695, 90981898, 71086650, 50755605, 61172381, 96566530, 116639833, 107476207, 84192532, 69606231, 78235621, 96648900, 109500326, 110430542}

    Returns: "LLLL"

  39. {30, 58, 18, 37, 44}

    {657952339312416, 657939909396067, 657938326068108, 657949777433963, 657958438095238}

    Returns: "LRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR"

  40. {23, 14, 8, 16, 21, 21, 7, 1, 16, 23, 5, 3, 18, 19, 17, 23, 18, 14, 20, 9, 1, 24, 7, 24, 17, 11, 5, 7, 5, 15, 19, 9, 7, 3, 5, 16, 4, 10, 2, 24, 21, 11, 19, 24, 19, 5, 4, 22}

    {523966922485146, 517434397323722, 507072413303367, 493538137409464, 478804695508536, 465711660997683, 457279729713514, 455957257556786, 462945739654014, 477727804308768, 497929048621510, 519653791249245, 538355433134249, 550087695992783, 552721377435951, 546591518958818, 534206331503039, 519071268719272, 504147161226735, 490694695112214, 478086120239458, 464642822479627, 448968822024209, 430962466408916, 411910958093281, 393682754511167, 377626731529511, 363953304425926, 352002359895677, 341176635644836, 331888720305346, 325907901532409, 325907331832135, 334467384044206, 353005277487306, 381036913059090, 415987376326566, 453599346409570, 488865454586629, 517276691496890, 536027471675393, 544739899933313, 545379518939155, 541347794897917, 536114295947674, 531973399484653, 529431032780175, 527394782291301}

    Returns: "LLLLLLLLLLLLLLLLLLLLLRRRRRRRRRRRRRRRRRRRRRRRR"

  41. {69778571, 49265334, 40365115, 66796807, 12216369, 2580575, 47393140, 36871429, 44077459, 38298918, 50801252, 21756954, 76264330, 44078751, 34870597, 3834096, 63682909, 73667721, 7726747, 7112551, 15195964, 58837235, 75695601, 80082268, 43278782, 5981991, 58285630, 23927869, 45065949, 10140987, 24589104, 36155026, 26797716, 46326511, 76366170, 72136210, 20079887, 79385839, 21133006, 765568, 8427260, 36831282, 75743537, 56020659, 43281565, 54275658, 28460942, 18692656, 79547098, 12284290}

    {778570616568, 732495518620, 692633532154, 685288977203, 709244078659, 745595689531, 771295575798, 766025297795, 718471974405, 638252891238, 560093776185, 523413254438, 540777238324, 590408651589, 641360480254, 679879595181, 708383861987, 726207057087, 723199199533, 696996790640, 665614812499, 646912226689, 630335031472, 592112232062, 542996949911, 536532536920, 612314548730, 741057558655, 841582811188, 852810024112, 782129696118, 684007512709, 602824500410, 545900315428, 504340365421, 481587196219, 494780924641, 556358300018, 658366989863, 769330740450, 845782622296, 854075765905, 787201870674, 668001121047, 545123986035, 478983565065, 507414087705, 611832392979, 725860071090, 786634390340}

    Returns: "LLLLLLLLLLLLLR"

  42. {5, 1, 6, 2, 3, 1, 6, 5, 3, 4, 2, 4, 2, 6, 5, 6, 4, 3, 6, 4, 2, 3, 3, 2, 6, 2, 6, 3, 3, 6, 4, 5, 5, 5, 3, 2, 2}

    {4709707619502, 4667038136013, 4547869085385, 4377291669335, 4192329648322, 4032091097017, 3927956653255, 3896441409774, 3936955171602, 4035048815932, 4169142726291, 4316927557632, 4458291049993, 4574577819481, 4647043465480, 4658057866391, 4596259171849, 4463171909533, 4276639804028, 4067654260201, 3871170154052, 3715468171600, 3615529787763, 3572952315469, 3580452984171, 3626636068783, 3698244665695, 3780831844560, 3860868329483, 3930549048312, 3992616642290, 4060436987016, 4150902675816, 4273008392398, 4418818070764, 4562723217200, 4669923596252}

    Returns: "LLLLLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR"

  43. {3760, 2033, 2659, 769, 4370, 296, 395, 2109, 1388, 3668, 3753, 1426, 683, 2349, 3364, 2613, 4696, 2518, 2755, 1597, 3820, 2806, 4056, 623, 1902, 2228, 2143, 4311, 64, 3605, 2336, 2133, 52, 4357}

    {8630428845, 9194681022, 9527455075, 9703632233, 9964724469, 10484144283, 11201572064, 11871280841, 12263056307, 12323910220, 12166225163, 11921039261, 11616900151, 11202908597, 10673465310, 10141841866, 9772330361, 9643191554, 9685473436, 9752431018, 9743181849, 9674298951, 9656539097, 9799717843, 10106247052, 10432305533, 10561679578, 10341607734, 9770841691, 8990444589, 8224095616, 7714625408, 7640981760, 8013136871}

    Returns: "LLLRRRRRRRRRRRRRRRRRRR"

  44. {309435912025, 157854072295, 617070691083, 430908462395, 915679002703, 918997175882, 474572908260, 484582656690, 678806969489, 927413936434, 518493717840, 360853119197, 196570047277}

    {485713597896431, 602820102041021, 685144590243662, 703394228357589, 678681313612707, 659162966269805, 656202734152043, 630153046380131, 549832913854800, 439092120255959, 353457307503122, 332509603821336, 382863875299074}

    Returns: "LLLRRRRRRR"

  45. {4021456574215, 4340336800868, 3400258074063, 684526208033, 4997750784998, 1496577182357, 5152876808584, 5198991233524, 1349917534500, 2772517096130, 2963204618679, 2114487926296, 1706187041819, 5300703699954, 4224328336222, 389407963201, 4300389388533, 365373077164, 6399285952981, 4110422381404, 881219754966, 1096110014418, 1079320188469, 3143947547203, 4831250670350, 1492734697472, 4550271564556, 5025515868964, 4088730334401, 40391304154, 4611969848050, 27218533602, 6043932956840, 4900239236373, 2006152406683, 2756371219102, 5665610666584, 2491360532769, 5625121069007, 1562705214542, 1713559218387, 3790776061116}

    {908631887889359, 901497822324479, 821113461715585, 764023356557058, 793158119909667, 883048295134680, 947407729962206, 914107166720765, 803741432535029, 702058245467619, 660042297312948, 685732636281461, 766880454132239, 834513847303982, 811734755321416, 734361594035754, 718632611003083, 797994382619080, 860867410752093, 782930445034028, 599858374028071, 481342696603900, 528719622700999, 676143817137538, 809413278867423, 901082555131984, 964466510219739, 957214675442605, 849479494131428, 722689774884897, 696301077246519, 793514458577474, 916448806416957, 956514435933105, 927453798878307, 924471866930988, 963602429867523, 966059062927007, 885807700681736, 780848531687146, 753567718143897, 827179304980674}

    Returns: "LLLLRRRR"

  46. {496357959168, 3735098750752, 1696178311573, 3284643186043, 4769871062526, 1877581733605, 2985800827322, 676177832829, 2318443451138, 1214135679960, 2154375987745, 1408473136771, 2911508016992, 4088723934068, 4522931026871, 380796929997, 3069299349010, 3057200896366, 566208151131, 2995738308762, 206836522820, 5462570248604, 2860142953676, 1633413221326, 4981986520711, 4432841553968, 4214380331349, 1739509888167, 3034519812019, 4645891296599, 1168232412277, 1793924923491, 3925938628808, 5404977054016, 360602096146, 43722988509, 5034151584486, 4920588081285, 214161640670, 5479203288118, 1530549064277, 2745023245296, 1679672425664}

    {4231456709920, 5431277062325, 4980821497616, 8054514248569, 6647452796131, 4863382560927, 3661978660151, 2994621283967, 3532579131098, 3368511667705, 3562849124516, 4319981153763, 7000231951060, 8611654960939, 4903727956868, 3450096279007, 6126500245376, 3623409047497, 3561946459893, 3202574831582, 5669406771424, 8322713202280, 4493556175002, 6615399742037, 9414828074679, 8647221885317, 5953890219516, 4774029700186, 7680411108618, 5814123708876, 2962157335768, 5719863552299, 9330915682824, 5765579150162, 404325084655, 5077874572995, 9954739665771, 5134749721955, 5693364928788, 7009752352395, 4275572309573, 4424695670960, 2176030384832}

    Returns: "R"

  47. {430261716313, 1190024477040, 681879764466, 1759389264655, 1580143953095, 273159946231, 1801643648204, 2416577569944, 1857484214528, 669207841058, 1489265670636, 2337453001397, 1446110141616}

    {430261716313, 1190024477040, 681879764466, 1759389264655, 1580143953095, 273159946231, 1801643648204, 2416577569944, 1857484214528, 669207841058, 1489265670636, 2337453001397, 1446110141616}

    Returns: ""

  48. {3, 11, 89, 98, 6, 47, 58, 77, 61, 27, 93, 40, 78, 62, 12, 66, 63, 54, 21, 62, 64, 76, 57, 99, 83, 32, 42, 39, 64, 27, 82}

    {3491281, 3533016, 3619419, 3731202, 3819952, 3870871, 3885156, 3843348, 3728138, 3569891, 3433363, 3356764, 3333066, 3359247, 3470929, 3702319, 4024166, 4335145, 4506920, 4447131, 4158108, 3753147, 3389079, 3153942, 3020975, 2921548, 2852570, 2884334, 3051852, 3274823, 3430746}

    Returns: "LLLLRRRRRRRRRRRR"

  49. {8481, 2253, 4821, 22836, 11164, 23110, 8587, 7688, 27827, 2713, 10245, 26888, 31232}

    {470643261244147, 470950831793095, 476342980164874, 484356953009931, 493646708036024, 503856965764355, 514188353386219, 522265277382304, 524676012280120, 519085478102420, 506317773886905, 490581308080685, 477393150605881}

    Returns: "LLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR"

  50. {1067, 2669, 3285, 1934, 310, 1597, 2062, 268, 2181, 205, 2826, 1731, 29, 405, 397, 2794, 210, 512, 2113, 826, 2860, 640, 2465, 268, 764, 623, 2721, 2826, 3123, 1785, 2965, 2215, 1466, 1279, 948, 2325, 264, 808, 47, 1263, 3137, 2518, 1974, 995, 3391, 1029, 1274}

    {342344524269299, 326226638914682, 312051676828421, 302853466731826, 301070739118749, 307433940186862, 320621739165298, 337675295435338, 354943804708049, 369352485118529, 379731079197735, 387691144793056, 397385189100612, 413823916820615, 440264131057889, 475952050952883, 515546017502072, 550686684949673, 572975470500672, 576889395414580, 561353595918736, 529579836859371, 487700505476064, 443114863538550, 403194132744528, 374392449732180, 361403990577782, 366137549723664, 386828097530658, 418029025597809, 452016470366009, 481312997317986, 501208850079307, 510996993354134, 513304742677449, 511959534280507, 509613196009772, 506428540824517, 500473793904438, 489441042945103, 472513634931721, 451170646505413, 428470264106511, 407371077341615, 389230052979250, 373415906668631, 358207919489391}

    Returns: "LLLLLLLLLRRRRRRRRRRRRRRRRRRRRRRRRRRRRR"

  51. {45, 18, 21, 15, 32, 18, 52, 61, 45, 40, 28, 2, 52, 2, 44, 56, 50, 8, 30, 48, 44, 16, 15, 12, 8, 30}

    {1821, 1660, 1425, 1408, 1652, 2142, 2742, 3083, 2915, 2377, 1835, 1581, 1628, 1906, 2372, 2672, 2454, 2072, 2076, 2279, 2130, 1603, 1110, 950, 1184, 1611}

    Returns: "LLLRRR"

  52. {64473314671051, 52743255205658, 261350994624747, 109927944802941, 125693150873395, 97324297976992, 106372183334451, 227116544919460, 208738347345737, 128391704776900, 164591145843354, 185700021962134, 173766133647148, 113970000385302, 177776414429832, 193914677379613, 237416034309274, 248570394445339, 116504221205154, 205922519403291, 199534619569501, 10206282427846, 137305533698339}

    {318995418246099, 431310819707114, 685373189258093, 606900035104024, 458638544526723, 426713930161830, 537185209565354, 769343620519108, 772984944387834, 630112902742891, 643274018425742, 709757323414770, 647202289641732, 579482548847584, 663437506624579, 803021803498332, 917317140443500, 851061044405106, 687501356258938, 727883879581237, 615198040970139, 357252718123532, 349290664495575}

    Returns: "LR"

  53. {2584233843980, 1920996322845, 538829099093, 4520661399430, 1405026198221, 18447816028, 373418715770, 3152545789340, 1522935351396, 3330993770767, 3677975352856, 1924239460224, 1368829281028, 506118164845, 2112549176874, 2614450408437, 3710457545258, 3043058497543, 487721712429, 4496077786770, 1384136133709, 2676538623884, 506861048551, 4075038685270, 1186412233810, 33766495429, 1194343044055, 3112222262654, 1037008770340, 2319662389755, 3266866555284, 3919355056367, 4997550146062, 427542430367, 1231021630809, 4789648765055, 4964604555555, 1999799143551, 4944718957526, 2374205576661, 2570891496685, 4584912393119, 2208704039674, 439259676259, 624757437917, 787220026460, 4295096368679, 2325099312030, 3576512111674, 1921042010221}

    {703590325149138, 642344677176660, 571746277890352, 531924816488684, 529616000002974, 508341438775689, 422780394850138, 337480169288540, 352727921207309, 467767310713626, 601438077574505, 681033100334851, 664476024869412, 559607828334257, 446849709838550, 422950296957392, 508754394348401, 629749576771496, 692130644831081, 678363061997671, 643928097286627, 620126241701763, 588246012905266, 549714703658444, 523464776015802, 484200688593416, 409506893075165, 354276416347109, 376966507856733, 452327892831441, 539498958034436, 650274004897114, 777776767731000, 840130038421383, 782071741256423, 692751327050300, 712839371857692, 836027757521670, 930634563943137, 930923738192592, 880504695757287, 834055876031992, 795070687549182, 714721074969749, 559972308982377, 399468935643041, 355949792689889, 460806950307792, 616257527527012, 707430550023216}

    Returns: "LLLLLLRR"

  54. {48784808372233, 235080770883421, 58332571967893, 176550113057653, 71527738209671, 97386323285290, 243021995605718, 93740183166828, 180517647588892, 213283195995537, 363601310436992, 357897818624216, 254377876596476, 285173163557371, 84914624036501, 153532112611275, 14624428108247, 67983660238717, 62868372391933, 9082795876261, 387692526074637, 92158509769751, 319925299017700, 164590210076769, 171419692420951}

    {283865579255654, 293413342851314, 234882685025546, 248077851267324, 168914061494961, 340408318891008, 336762178772546, 274257830755720, 393800843584429, 576884506432529, 721499129061208, 612275695220692, 539551040153847, 370087787593872, 238446736647776, 168156540719522, 82608088346964, 130852032630650, 71951168268194, 396775321950898, 479851035844388, 412083808787451, 484515509094469, 336009902497720, 220204500793184}

    Returns: "R"

  55. {10, 5, 61, 51, 19, 45, 25, 6, 4, 34, 19, 19, 39, 12, 28, 39, 14, 56, 49, 37, 15, 40, 25, 44, 28, 26, 25, 21, 57, 5, 49, 10, 34, 9, 34, 35, 5, 41, 9, 1, 26, 43}

    {707121, 653973, 631653, 653912, 712711, 797786, 907280, 1027235, 1114615, 1120923, 1032951, 885648, 740860, 652866, 640366, 682207, 740893, 792337, 837179, 891714, 970696, 1070996, 1164512, 1212212, 1196266, 1139248, 1083898, 1053143, 1036196, 1012949, 982483, 961926, 961595, 969395, 962295, 929116, 879776, 835441, 811009, 803178, 792781, 760931}

    Returns: "LLLLLLLLLLLLLRR"

  56. {20, 845, 439, 559}

    {32006151208960, 32006058803200, 32006041370624, 32006133776384}

    Returns: "RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR"

  57. {19, 15, 52, 27, 69, 2, 30, 82, 41, 19, 76, 56, 71, 36, 18, 66, 14, 65, 34, 36, 70, 9, 23, 16, 2, 75, 78, 58, 69, 55, 71, 74, 60, 30, 9, 30, 68, 2, 70, 6, 49, 72}

    {11382632, 11385556, 11384551, 11382609, 11386446, 11388550, 11384508, 11380004, 11381189, 11386877, 11387503, 11384382, 11384291, 11385368, 11384928, 11381307, 11381312, 11388036, 11389216, 11384355, 11381708, 11382632, 11385556, 11384551, 11382609, 11386446, 11388550, 11384508, 11380004, 11381189, 11386877, 11387503, 11384382, 11384291, 11385368, 11384928, 11381307, 11381312, 11388036, 11389216, 11384355, 11381708}

    Returns: "No solution"

  58. {17488279580034, 3829315767805, 4476020060728, 195800809825, 14924071923535, 12807151416024, 3974033098403, 13109925730174, 5853409105317, 1908484538479}

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    Returns: "No solution"

  59. {3041560, 4668551, 1086377, 543259, 465382, 4496742, 1882951, 4882158, 1622398, 3511449, 2432704, 461938, 4966457, 3175626, 5876617, 2534869, 1904200, 1035538, 5215942, 5113511}

    {375084512, 372057208, 362611470, 376132470, 385735650, 365509238, 366847722, 397664126, 395103974, 374020286, 375084512, 372057208, 362611470, 376132470, 385735650, 365509238, 366847722, 397664126, 395103974, 374020286}

    Returns: "No solution"

  60. {7378, 4719, 8221, 20253, 6163, 18700, 20792, 8088, 3786, 11480, 7841}

    {22385992860, 22385591216, 22386857692, 22386898372, 22385653724, 22386028996, 22387097900, 22386428052, 22385481368, 22386488408, 22387166404}

    Returns: "No solution"

  61. {812649, 1941351, 948917, 7370158, 1706566, 1993241, 3199563, 9425763, 4497896, 1089072, 457173}

    {3187927586022, 3187941513046, 3187933077442, 3187884996582, 3187875555802, 3187865264258, 3187859094456, 3187843412806, 3187882276886, 3187914836138, 3187916931586}

    Returns: "No solution"

  62. {1939731, 5766284, 1227285, 5350406, 520198, 5865382, 281344, 6028575, 883326}

    {831033376235232, 831031902644504, 831031787119764, 831033410691800, 831031932019264, 831031782391808, 831033384713800, 831031893775528, 831031744707436}

    Returns: "No solution"

  63. {198344228160998, 176401087428433, 106461316695369, 175612435105482, 37803936963390, 129075436536010, 37840242323618, 5883739048100, 96095275380207, 82534213119540, 54154969052033, 20745098482420, 85058525792914, 186108456133674, 129890330375449, 57455278315621, 44744884379242, 39314550878136, 143839160981824, 126322718302415, 185763294779548, 162474903165020, 63340814852658, 106938694233483, 129853160202468, 189644574725025, 190628122716013, 185912254301142, 51415646123994, 26415915838570, 41025369467893, 75710177853470, 39195667733688, 114064677860364, 69836157293879, 94482948235000, 19944698678778, 56571235954515, 24518355469667, 30643234208002, 21077503294131, 105897698779627, 133391997285674, 94102240781194, 134698004345200}

    {198344228160998, 176401087428433, 106461316695369, 175612435105482, 37803936963390, 129075436536010, 37840242323618, 5883739048100, 96095275380207, 82534213119540, 54154969052033, 20745098482420, 85058525792914, 186108456133674, 129890330375449, 57455278315621, 44744884379242, 39314550878136, 143839160981824, 126322718302415, 185763294779548, 162474903165020, 63340814852658, 106938694233483, 129853160202468, 189644574725025, 190628122716013, 185912254301142, 51415646123994, 26415915838570, 41025369467893, 75710177853470, 39195667733688, 114064677860364, 69836157293879, 94482948235000, 19944698678778, 56571235954515, 24518355469667, 30643234208002, 21077503294131, 105897698779627, 133391997285674, 94102240781194, 134698004345200}

    Returns: ""

  64. {20, 28, 41, 40, 35, 19, 29, 39, 14, 49, 11, 57, 40, 50, 36, 4, 9, 42, 22, 39, 43, 49, 12, 47, 36, 48, 38, 3, 15, 9, 35, 41, 26, 22, 54, 2, 11}

    {16178676288, 16178673680, 16178669360, 16178741280, 16178663328, 16178592048, 16178708080, 16178711680, 16178654864, 16178674256, 16178666016, 16178704544, 16178700976, 16178606672, 16178672672, 16178749248, 16178656944, 16178654448, 16178704976, 16178680736, 16178691040, 16178644256, 16178635936, 16178749840, 16178695744, 16178615552, 16178686384, 16178684176, 16178672480, 16178684240, 16178640352, 16178698576, 16178736416, 16178632960, 16178649312, 16178715888, 16178671632}

    Returns: "No solution"

  65. {64134950468029, 28467659253398, 31679375772851, 301586012007440, 44802227334267, 129736898896620, 172572105574018, 266771684908288, 214255807308336}

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    Returns: "No solution"

  66. {755425, 506840, 3326173, 1004399, 1094793, 62734, 3513732, 3007626, 1298837, 555918, 3822927, 945757, 3501561, 3590458, 4155620}

    {2177166900714, 2176614535660, 2177183041252, 2177418201526, 2176642924340, 2176678646268, 2177589902722, 2177413547082, 2176445004894, 2176630920412, 2177606866730, 2177459897650, 2176526012546, 2176709538156, 2177506712848}

    Returns: "No solution"

  67. {430, 4622, 16034, 896, 19363, 19028, 12166, 12103, 12625, 9042, 384, 10844, 320, 3965, 7553, 4074, 8793, 18334, 11581, 13263, 936}

    {609823125443626, 609823181165738, 609823234649576, 609823125323402, 609823182050382, 609823236213040, 609823126950864, 609823183238966, 609823236339642, 609823126193138, 609823181654602, 609823234761584, 609823124971724, 609823181312518, 609823235331056, 609823126210116, 609823182886622, 609823236607972, 609823126957690, 609823182695588, 609823235656170}

    Returns: "No solution"

  68. {641, 717, 227, 552, 585, 422, 716, 443, 446, 504, 596, 707}

    {600699852681472, 600699852543488, 600699852699904, 600699852681472, 600699852543488, 600699852699904, 600699852681472, 600699852543488, 600699852699904, 600699852681472, 600699852543488, 600699852699904}

    Returns: "No solution"

  69. {10990, 29238, 20124, 5146, 835, 26630, 44322, 23139, 33790, 5134, 19193, 33565, 13891, 40498, 24189, 18458, 22096, 44244, 6783, 18393, 31128, 20629, 47761, 37145, 12230, 12314, 725, 14460}

    {94650330997528, 94650330134316, 94650337352811, 94650338241731, 94650337648187, 94650343680409, 94650348747974, 94650343933766, 94650353323342, 94650353776393, 94650352184513, 94650354144079, 94650357838049, 94650350814066, 94650352015021, 94650353950584, 94650345838512, 94650345494256, 94650346016869, 94650339578094, 94650335302108, 94650339078783, 94650330761558, 94650329414930, 94650331551474, 94650329520977, 94650325420454, 94650333236016}

    Returns: "No solution"

  70. {361517, 2648681, 69537, 1988152, 1015401, 1410395, 158923, 2098183, 274382, 1841718, 250679, 206099, 1327787}

    {1376918, 4059076, 228460, 4086335, 1289783, 3252113, 409602, 2304282, 1602169, 2203235, 2899360, 275636, 3315939}

    Returns: "No solution"

  71. {491839559616487, 497786978037700, 330133237259254, 132800805174439, 46354342143645, 262965006677370, 82751588665336, 332645178145157, 427796212163882, 334949945643291, 135829603384015, 211103734078008, 329063071101860, 58050908141971, 487508983778312, 313815253790550, 45667641185626, 177527447154848, 240224968961921, 21276657077483, 504325755334113, 439793419500219, 493205343617430, 292889530897488, 291468414040072, 342991332360350}

    {491839559616487, 497786978037700, 330133237259254, 132800805174439, 46354342143645, 262965006677370, 82751588665336, 332645178145157, 427796212163882, 334949945643291, 135829603384015, 211103734078008, 329063071101860, 58050908141971, 487508983778312, 313815253790550, 45667641185626, 177527447154848, 240224968961921, 21276657077483, 504325755334113, 439793419500219, 493205343617430, 292889530897488, 291468414040072, 342991332360350}

    Returns: ""

  72. {3367, 4833, 1608, 608, 2823, 172, 326, 1594, 2903, 262, 1964, 3737, 1805, 1500, 4640, 3412, 2943, 4765, 86, 929, 682, 5059, 293, 3190, 1458, 3136, 4954, 4991, 4071, 2724, 766, 4164, 4138, 2085, 1012, 1231, 3862, 3332, 1902}

    {3367, 4833, 1608, 608, 2823, 172, 326, 1594, 2903, 262, 1964, 3737, 1805, 1500, 4640, 3412, 2943, 4765, 86, 929, 682, 5059, 293, 3190, 1458, 3136, 4954, 4991, 4071, 2724, 766, 4164, 4138, 2085, 1012, 1231, 3862, 3332, 1902}

    Returns: ""

  73. {485674, 323522, 71160, 9395, 189311, 37413, 497002, 155650, 278250, 631075, 296245, 89071, 258909, 304609, 661931, 119307, 425796, 148489, 561325, 276056, 619290, 277294, 25383, 118865, 12793, 77016, 47503, 46945, 239984, 456703, 122085, 389429, 730664, 152275, 482258, 643831, 468813, 689340, 157399, 27873, 522353, 176509, 463749, 532341, 92097, 480454, 190784, 444953, 239053, 243541}

    {20121602043569, 20121554786972, 20121607622593, 20121582698343, 20121571733388, 20121603101619, 20121595975862, 20121634774020, 20121610433494, 20121664423211, 20121665321818, 20121656551355, 20121685021392, 20121651728875, 20121695218368, 20121635872093, 20121662239594, 20121679631601, 20121641218765, 20121681809149, 20121668283782, 20121700340574, 20121671273959, 20121676960627, 20121697550033, 20121630071335, 20121659658586, 20121606936949, 20121615698617, 20121594465179, 20121563456653, 20121613988983, 20121569214499, 20121595169815, 20121591286060, 20121603623134, 20121591307404, 20121557792803, 20121595360064, 20121532241874, 20121533156522, 20121528774260, 20121510946245, 20121531333276, 20121501899383, 20121559594163, 20121545260698, 20121564943315, 20121575179996, 20121584747819}

    Returns: "No solution"

  74. {5, 10, 11, 17, 5, 13, 4, 1}

    {5, 10, 11, 17, 5, 13, 4, 1}

    Returns: ""

  75. {7022913667463, 9719094024342, 8274954671343, 5481376639160, 7207283836868, 9755298076038, 568152825631, 7430337850971, 10085958810277, 8590613314010, 4055519804180, 6477585210183, 6974983271466, 7395962041559, 2819268922501, 10261057113748, 1413015814723, 441873295014, 5300648935801, 6014528670786, 841627053827, 919238132555, 8053695984529, 6941634093971, 6113337980058, 5815992023466, 3445758824309}

    {756552140761694, 757495950545421, 727197579158099, 729552854675655, 749394243166245, 772376808712537, 756597740000384, 729409359125672, 725674688357341, 753470896699585, 761044909269933, 759598932189436, 735597354099132, 733245881891537, 756387814049378, 758640289552052, 722740702479741, 728667745213731, 769451240433951, 771727161086412, 743007216311091, 722927839721011, 730243691100018, 763956620597515, 770921520019088, 734238208545885, 729859606001168}

    Returns: "No solution"

  76. {17, 36, 21, 20, 27, 17, 31, 38, 2, 30, 33, 1, 36, 25, 6, 6, 17, 27, 38, 32, 30, 2, 21, 17, 27, 6, 14, 22, 23, 14, 34, 4, 5, 23, 33, 38, 21, 24, 20, 38, 27, 18, 24}

    {11798675919, 11798673879, 11798676232, 11798674012, 11798675185, 11798674980, 11798674576, 11798676289, 11798674387, 11798676138, 11798673770, 11798674100, 11798673498, 11798672720, 11798674892, 11798673340, 11798676357, 11798675030, 11798676084, 11798676277, 11798673831, 11798676166, 11798672666, 11798675372, 11798674348, 11798673738, 11798676299, 11798672271, 11798675851, 11798673019, 11798673914, 11798675928, 11798673216, 11798677777, 11798674625, 11798676410, 11798675899, 11798673000, 11798675427, 11798671851, 11798674672, 11798673813, 11798674082}

    Returns: "No solution"

  77. {29026088, 20686643, 32596574, 1520208, 33628988, 1137734, 33360909, 9446119, 11466597, 21066322, 14192649, 5034523, 20324515, 34149128, 20936094}

    {645527613698240, 645591264479760, 645473974108160, 645530581557168, 645541573645616, 645550794870400, 645455342268608, 645587529546960, 645551191047264, 645410254590688, 645659686953216, 645480224746608, 645450883869680, 645665251328752, 645429992278192}

    Returns: "No solution"

  78. {6250574585, 85377944140, 18419731953, 60054440280, 69672864654, 30136408336, 22840628059, 66118306655, 26030464932, 38933072708, 61543778483, 79099211891, 64418642731, 58702870019, 40115752175, 89643572313, 23092315348, 509218067, 17361925484, 31641719272, 24423433853, 439017763, 59305517030, 19552735488, 46590756298, 30929970600, 2226748341}

    {41066101212878, 40113624865247, 41404215676592, 40493739174297, 40345716270409, 41273980412612, 40051962763920, 40802463635347, 41046263668040, 40109832982668, 41288152378084, 40674277105100, 40398312486036, 41371266947194, 40183749339068, 40774688948621, 41090763954040, 39989102160183, 41221323487478, 40660850312632, 40127286278429, 41448808547597, 40219090588799, 40557103656685, 41347522837029, 40036877164112, 41096903519895}

    Returns: "No solution"

  79. {46156293, 413091966, 67737292, 142024460, 210726316, 410487069, 167836711, 203022054, 394453327, 182403608, 86237641, 254088178, 21109498, 22484474, 245234352, 353720062, 284539251, 41211156, 313483928, 472033814, 46498621, 286364578}

    {792611764, 1298196843, 670978029, 1107381616, 480497373, 1223300604, 961695995, 412654633, 914028695, 884281322, 1020886380, 809386775, 598798441, 729098326, 1213992876, 822143572, 795035381, 504305250, 1154213854, 979728809, 727150510, 559411548}

    Returns: "No solution"

  80. {17, 37, 27, 26, 23, 81, 39, 6, 17, 35, 17, 63, 70, 40, 1, 68}

    {623423092948992, 623423092948992, 623423092948992, 623423092948992, 623423092948992, 623423092948992, 623423092948992, 623423092948992, 623423092948992, 623423092948992, 623423092948992, 623423092948992, 623423092948992, 623423092948992, 623423092948992, 623423092948992}

    Returns: "No solution"

  81. {2961551, 2524568, 2888712, 4951167, 2802599, 2827995, 5579462, 5320572, 3211048, 2950273, 3532068, 44820, 2482823, 969358, 6552727, 869176, 3406094, 77243, 573778, 2699151, 2999821, 4547124, 562599, 4204925, 3734657, 6114728, 7103865, 312371, 5170884, 7064199, 4022330, 5593249, 6877936, 7398311, 7341853, 194363, 158352, 2650489}

    {229878968084, 229814950380, 229772434795, 229955700412, 229863111540, 229787861204, 229903135503, 229759566588, 229773839810, 229942502810, 229837258159, 229859541093, 229889636763, 229725715022, 229804518805, 229907419378, 229830247415, 229900364926, 229897575716, 229779548182, 229820667667, 229876381304, 229849510563, 229928571475, 229931065219, 229798256570, 229827914508, 229882680542, 229835546179, 229917134410, 229940015857, 229802713808, 229857844760, 229874904062, 229784737625, 229940807027, 229930604120, 229774013895}

    Returns: "No solution"

  82. {13668267049783, 391979890029433, 521768813599356, 37061587494954, 643137282241137, 223318460133752}

    {13668267049783, 391979890029433, 521768813599356, 37061587494954, 643137282241137, 223318460133752}

    Returns: ""

  83. {3093267324, 5793707841}

    {71095801320, 71095801320}

    Returns: "RRRR"

  84. {2234, 24, 255, 1637, 2356, 1360, 1050, 696, 302, 794, 2290, 937, 554, 2491, 165, 2447, 1203, 1503, 1265, 1804, 1012, 519, 1685, 433, 51, 1508, 1179, 498, 2446, 740, 756, 1316, 1960, 1739, 2336, 350, 35}

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    Returns: "No solution"

  85. {48, 39, 24, 4, 23, 25, 46, 40, 18, 17, 53, 70, 30, 59, 20, 14, 43, 56, 40, 62, 22, 47, 34, 25, 14, 11, 40, 35, 24, 38, 38, 53, 9, 76}

    {73831572, 73826640, 73829032, 73832312, 73836664, 73835572, 73831256, 73827768, 73827196, 73834324, 73838124, 73835524, 73828296, 73824712, 73831588, 73837176, 73837716, 73831572, 73826640, 73829032, 73832312, 73836664, 73835572, 73831256, 73827768, 73827196, 73834324, 73838124, 73835524, 73828296, 73824712, 73831588, 73837176, 73837716}

    Returns: "No solution"

  86. {26740287525744, 33550185975352, 28568896004191, 56897259653174, 26781125124303, 71908256277244, 73891289906719, 23057130444867, 42582607692374, 69927508113680, 9573880792644, 53385602631802, 50428700083428, 58974065920189, 942209664051, 53052854979095}

    {697685291228688, 646344557094910, 645255483555532, 683141863650272, 631728439456988, 774483107029590, 813705485503750, 668220012943974, 647064570369800, 659369908266002, 641886792474312, 745727611649470, 744569142099952, 640849870764926, 620199681621834, 623957954911712}

    Returns: "No solution"

  87. {114486, 1656, 67081, 63216, 13012, 80565, 57518, 66217, 65688, 28418, 86324, 47087, 111468, 4464, 4729, 10144, 71540, 116438, 63123, 58003, 106315, 12426, 46397}

    {968283542399992, 968283548887684, 968283574565152, 968283596415132, 968283578028156, 968283559383396, 968283581672932, 968283606134528, 968283597429120, 968283571796412, 968283559140828, 968283577991420, 968283598021504, 968283571834264, 968283546216800, 968283558727124, 968283579124076, 968283581544320, 968283555995484, 968283536343964, 968283556916428, 968283580098396, 968283562589848}

    Returns: "No solution"

  88. {1, 12, 53, 183, 258, 52, 107, 101, 39, 212, 183, 170}

    {490699919360, 490699814912, 490700306432, 490699919360, 490699814912, 490700306432, 490699919360, 490699814912, 490700306432, 490699919360, 490699814912, 490700306432}

    Returns: "No solution"

  89. {984432576530, 5362594860512, 5434477161563, 629418260455, 268925841318, 4251842134953, 2947348753146, 4625660903906, 2194396646372, 5430496444540, 3335225336646, 217802893483, 3194090695176, 5344623288218, 1007294259894, 3485091328654, 3377430866040, 4954008139623, 2673183893149, 5216826326989, 4156825022921, 722539177788}

    {849717492176164, 816569640373694, 842778305380380, 833250862261004, 819214922579564, 838166363603538, 803476707982084, 824608934276516, 803915093554692, 811037684280090, 809663269937450, 783336700426588, 815281650833774, 773848059269042, 793140842449076, 799250832250946, 784588261309800, 819867853895732, 791938668539232, 824733095115154, 822545241177912, 811590430167824}

    Returns: "No solution"

  90. {619811, 600044, 503089, 451287, 252188, 653482, 432468, 512800, 242179, 187518, 558562, 508901, 46136, 268691, 671123, 36548, 323611, 114459, 538318, 270132, 81639, 75732, 273740, 572498, 334372, 415701, 257089, 377923, 455623, 520902, 368520, 14120, 137506}

    {4203368, 3597950, 2610608, 2694474, 3407616, 2295360, 2792560, 2423784, 2200746, 2597678, 3291392, 2073764, 1801152, 2667142, 3998872, 2486566, 2061718, 1164468, 2810374, 3966686, 2769150, 2017284, 2239244, 3644840, 4087042, 3744320, 3179392, 1772820, 2868258, 4263486, 3980530, 1611048, 2090004}

    Returns: "No solution"

  91. {3858138276498, 9337108558516, 8877388283226, 3380269602858, 4443912281890, 4840172869240, 4645487198476, 7055510942424, 5762344830953, 11014570347298, 9470410635353, 10890144690600, 9780638574933, 12055824562475, 6322431271666, 11871536141715, 7079433862349, 167443663153, 5598959720142, 11629090021411, 4251650155219, 9630536859779, 1047962708622, 3569258034912, 6699573301478, 5739881295889, 9761636394557}

    {903740513890917, 924920381630113, 905231815023863, 883519198671697, 893735516186738, 878515548004399, 909963536366739, 892512862782902, 872498997599650, 886124605180114, 871991189587014, 897320084321266, 882128933417060, 883800992780489, 896014740476984, 882856394040720, 896130429416572, 868734301051267, 882402181314791, 906365647303535, 893496932957215, 913270948783458, 889424614799482, 906113853490087, 917768341977402, 905651868847557, 919773901058865}

    Returns: "No solution"

  92. {3644299102398, 2909627123178, 748891450530, 615561955087, 3275317342268, 1023452090580}

    {16477010121526, 18402093529487, 13989492605151, 16477010121526, 18402093529487, 13989492605151}

    Returns: "No solution"

  93. {11112319781, 14519272765, 41196455520, 16825423174, 24766447517, 20860770772, 20663553659, 17713543539, 21962134870, 78052029, 20319697479, 44591609371}

    {347641639207616, 347539055189150, 347698918432930, 347641639207616, 347539055189150, 347698918432930, 347641639207616, 347539055189150, 347698918432930, 347641639207616, 347539055189150, 347698918432930}

    Returns: "No solution"

  94. {4353892, 7324510, 6724240, 3122963, 5329887, 763210, 1283508, 5239956, 5751103, 4558940, 1829178, 1655494, 4552191, 1157235, 4319510, 320137, 420902, 1301694, 2224857, 2899108, 1782179, 3949404, 4220104, 5030330, 2672919, 6365308, 2808966, 6355191, 3884224, 1472455, 7283453, 5832308, 2398951, 4071443}

    {973154909677698, 973154938950098, 973155167498750, 973155637587352, 973155998961618, 973156116483156, 973156198105898, 973156158278966, 973155829319086, 973155603688688, 973155581695632, 973155478388508, 973155378086862, 973155398514586, 973155315791336, 973155020923250, 973154866896516, 973154909677698, 973154938950098, 973155167498750, 973155637587352, 973155998961618, 973156116483156, 973156198105898, 973156158278966, 973155829319086, 973155603688688, 973155581695632, 973155478388508, 973155378086862, 973155398514586, 973155315791336, 973155020923250, 973154866896516}

    Returns: "No solution"

  95. {29, 12, 44, 49}

    {17985175552, 17985175552, 17985175552, 17985175552}

    Returns: "No solution"

  96. {9724741963, 32689100969, 23163032560, 8460469575, 10255685836, 33271465698, 27245682332, 6794274484}

    {9724741963, 32689100969, 23163032560, 8460469575, 10255685836, 33271465698, 27245682332, 6794274484}

    Returns: ""

  97. {4527102418820, 3408353731585, 2424419463199, 1215313226650, 3082883364362, 2179040490224, 1619746893200, 554987813721, 3458000022043, 2654023653548, 3774531013449, 2824330902410, 2050254071157, 3565761231047, 333606210790, 1954217632914, 1404186595513, 2993540405530, 4084987618683, 2030527179055, 3780284049980, 1917418386121, 1041877701581, 1923632591025, 3222165969515, 3085289673960, 1458552181212, 3785325511818, 3961926621957, 2798342695148, 1452032467534, 4351318434536, 2148195968065, 496855798937, 1792039902605, 3741895120253, 1602877778198, 4380638158918, 1854579167789, 1723375019990, 3583495019052, 2947894535332}

    {686075941981626, 627664491135754, 690061032877456, 647098458219462, 688399564179150, 639740865811782, 678507355981400, 631458508999240, 652293135085702, 663421301176950, 628671010236650, 665441795164472, 639630208183446, 684856924017352, 606701020861324, 688758827460842, 627640878494848, 651441359308200, 641452297677100, 640519203038784, 649303269059686, 628549066861134, 681291001820134, 592687286452018, 694429791313176, 639683148387672, 645692864368992, 639982876407530, 681847342532914, 648315765337732, 605636577045504, 695717412266762, 641073358159622, 643276312621098, 641066482451482, 714616729515490, 631154947028492, 667229900788840, 671156428244598, 665800276463728, 638213308919226, 644037307067686}

    Returns: "No solution"

  98. {130188417036581, 214522766718037, 329423470275902, 908944873593271, 30362717567421, 435884384386080, 808126695704621, 864754771735922, 30176633969991, 707313818713506}

    {130188417036581, 214522766718037, 329423470275902, 908944873593271, 30362717567421, 435884384386080, 808126695704621, 864754771735922, 30176633969991, 707313818713506}

    Returns: ""

  99. {560, 1150, 993, 2689, 1369, 4026, 4492, 1843, 2988, 1872, 3254, 1384, 4182, 1770, 4020}

    {40927560188, 40927499256, 40927788984, 40927874092, 40927667976, 40927851896, 40927737788, 40927348480, 40927420064, 40927328884, 40927004812, 40927151084, 40927204008, 40927055732, 40927394628}

    Returns: "No solution"

  100. {229189, 591889, 588095, 609376}

    {1677130, 1642156, 2359968, 2394942}

    Returns: "No solution"

  101. {1503, 47090, 38396, 14865, 66157, 2106, 40095, 7095, 80426, 81959, 8848, 35367, 9524, 415, 217, 32166, 44439, 48528, 78395, 13389, 50728, 71630, 47325, 23123, 45897, 75783, 76789, 52230, 14524}

    {160398330996, 160397533568, 160397115176, 160399421340, 160400220240, 160395821796, 160395315564, 160398173260, 160398481264, 160395225740, 160394842120, 160394932000, 160394067448, 160395895460, 160400929060, 160402227712, 160399404616, 160397857372, 160398882360, 160398158808, 160395939484, 160395554556, 160395014616, 160393291268, 160393595360, 160398776672, 160400941696, 160398319840, 160396615344}

    Returns: "No solution"

  102. {6445, 4480, 1365, 2519, 2022, 23541, 26166, 8083, 37851, 8126, 15409, 15581, 22459, 29500, 31210, 51931, 23774}

    {62794, 65375, 31641, 33870, 35187, 35011, 90077, 44397, 84884, 87724, 54077, 98341, 77376, 119299, 100065, 112045, 109685}

    Returns: "No solution"

  103. {165350326775, 420665372142, 226015914999, 189404699562, 87904267474, 247156203512, 167424643756, 69607020651, 292898842595, 64673037518, 392496789157, 314660308085, 26660619464, 483611943447, 174736107743, 33803573439, 28510534820}

    {25304109208509, 25327136165196, 25867740767630, 25331060388052, 25322428610243, 25242111566821, 25906762936480, 25809667255363, 24899553348023, 25533324103023, 25727426023320, 25680919502780, 25276773112250, 25126630644214, 25809785310960, 25447400659084, 25741436655844}

    Returns: "No solution"

  104. {715863, 581135, 60615, 439724, 673650, 635208, 131106, 86261, 166218, 325303, 596727, 145113, 511385, 119287, 44978, 53085, 62483}

    {715863, 581135, 60615, 439724, 673650, 635208, 131106, 86261, 166218, 325303, 596727, 145113, 511385, 119287, 44978, 53085, 62483}

    Returns: ""

  105. {34, 62, 443}

    {9168, 9616, 15712}

    Returns: "No solution"

  106. {1, 0}

    {0, 0}

    Returns: "No solution"

  107. {1, 1 }

    {0, 0 }

    Returns: "No solution"

  108. {0, 0 }

    {0, 0 }

    Returns: ""

  109. {1000000000000000, 1000000000000000 }

    {0, 0 }

    Returns: "No solution"

  110. {999999999999999, 999999999999999 }

    {0, 0 }

    Returns: "No solution"

  111. {0, 1 }

    {1, 0 }

    Returns: "No solution"

  112. {1073741824, 1073741824 }

    {0, 0 }

    Returns: "No solution"

  113. {0, 0, 0, 500000000000000, 0 }

    {500000000000000, 1000000000000000, 500000000000000, 0, 0 }

    Returns: "No solution"

  114. {4294967296, 4294967296 }

    {0, 0 }

    Returns: "No solution"

  115. {562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312 }

    {0, 0, 0, 0, 0 }

    Returns: "No solution"

  116. {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }

    {2, 50, 1225, 19600, 230300, 2118760, 15890700, 99884400, 536878650, 2505433700, 10272278170, 37353738800, 121399651100, 354860518600, 937845656300, 2250829575120, 4923689695575, 9847379391150, 18053528883775, 30405943383200, 47129212243960, 67327446062800, 88749815264600, 108043253365600, 121548660036300, 126410606437752, 121548660036300, 108043253365600, 88749815264600, 67327446062800, 47129212243960, 30405943383200, 18053528883775, 9847379391150, 4923689695575, 2250829575120, 937845656300, 354860518600, 121399651100, 37353738800, 10272278170, 2505433700, 536878650, 99884400, 15890700, 2118760, 230300, 19600, 1225, 50 }

    Returns: "RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR"

  117. {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 }

    {1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000 }

    Returns: "No solution"

  118. {1, 1000000000000000 }

    {562949953421312, 562949953421312 }

    Returns: "No solution"

  119. {1, 1, 1, 1, 1, 1, 1, 1, 1 }

    {100000000000000, 100000000000000, 100000000000000, 100000000000000, 100000000000000, 100000000000000, 100000000000000, 100000000000000, 100000000000000 }

    Returns: "No solution"

  120. {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }

    {703687441808, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776, 703687441776 }

    Returns: "No solution"

  121. {1, 0, 0, 0, 0, 0 }

    {0, 0, 0, 1, 1, 0 }

    Returns: "No solution"

  122. {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }

    {202355008436035, 119032357903550, 64617565719070, 32308782859535, 14844575908435, 6250347750920, 2403979904200, 841392966470, 266783135710, 76223753060, 19499099620, 4431613550, 886322710, 154143080, 22957480, 2869685, 292825, 23427, 1431, 1431, 23427, 292825, 2869685, 22957480, 154143080, 886322710, 4431613550, 19499099620, 76223753060, 266783135710, 841392966470, 2403979904200, 6250347750920, 14844575908435, 32308782859535, 64617565719070, 119032357903550, 202355008436035, 317986441828055, 462525733568080, 623404249591760, 779255311989700, 903936161908052, 973469712824056, 973469712824056, 903936161908052, 779255311989700, 623404249591760, 462525733568080, 317986441828055 }

    Returns: "RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR"

  123. {1, 1, 1, 1 }

    {0, 0, 0, 0 }

    Returns: "No solution"

  124. {1, 0, 0, 0 }

    {1, 0, 0, 1 }

    Returns: "R"

  125. {339330064, 552482633, 465568947 }

    {140737601485812, 140737388333243, 140737475246929 }

    Returns: "No solution"

  126. {1099511627776, 1099511627776 }

    {0, 0 }

    Returns: "No solution"

  127. {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }

    {504606596603888, 513250056873136, 523900034704888, 534672426074936, 544098268523728, 551395694935696, 556450683023153, 559601844428321, 561374372718728, 562274704548776, 562687356637548, 562857689686476, 562920817505048, 562941735598776, 562947898965678, 562949502443246, 562949867520728, 562949939437496, 562949951514428, 562949953209436, 562949953402888, 562949953420136, 562949953421263, 562949953421311, 562949953421311, 562949953421263, 562949953420136, 562949953402888, 562949953209436, 562949951514428, 562949939437496, 562949867520728, 562949502443246, 562947898965678, 562941735598776, 562920817505048, 562857689686476, 562687356637548, 562274704548776, 561374372718728, 559601844428321, 556450683023153, 551395694935696, 544098268523728, 534672426074936, 523900034704888, 513250056873136, 504606596603888, 499744650202436, 499744650202436 }

    Returns: "RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR"

  128. {1, 2 }

    {1, 2 }

    Returns: ""

  129. {1, 0, 0, 0, 0 }

    {0, 562949953421312, 0, 0, 0 }

    Returns: "No solution"

  130. {0, 1 }

    {0, 0 }

    Returns: "No solution"

  131. {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 }

    {4398046511062, 4398046510243, 4398046499624, 4398046399174, 4398045660436, 4398041265318, 4398019532776, 4397928480919, 4397600619294, 4396575068131, 4393765949728, 4386988394216, 4372527779824, 4345186282024, 4299374083488, 4231536789502, 4143384583948, 4044349390054, 3951271200304, 3884254903684, 3859788636664, 3884254903684, 3951271200304, 4044349390054, 4143384583948, 4231536789502, 4299374083488, 4345186282024, 4372527779824, 4386988394216, 4393765949728, 4396575068131, 4397600619294, 4397928480919, 4398019532776, 4398041265318, 4398045660436, 4398046399174, 4398046499624, 4398046510243, 4398046511062, 4398046511103, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511103 }

    Returns: "LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL"

  132. {1, 0, 0, 0 }

    {0, 0, 1, 1 }

    Returns: "No solution"

  133. {0, 1, 0 }

    {1, 1, 0 }

    Returns: "R"

  134. {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }

    {1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000, 1000000000000000 }

    Returns: "No solution"

  135. {1, 0, 0, 0 }

    {562949953421312, 562949953421312, 562949953421312, 562949953421312 }

    Returns: "No solution"

  136. {1, 1 }

    {562949953421312, 562949953421312 }

    Returns: "RLLLRRRLLRRRLRLRRLLLLRLLRRLRRRLRRLRRLLRRRLLRRRLLL"

  137. {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }

    {4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511104, 4398046511103, 4398046511105 }

    Returns: "No solution"

  138. {2048, 2048, 2048, 2048 }

    {0, 0, 0, 0 }

    Returns: "No solution"

  139. {1, 1 }

    {1000000000000000, 1000000000000000 }

    Returns: "No solution"

  140. {562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312, 562949953421312 }

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }

    Returns: "No solution"

  141. {1, 1, 1, 1, 1 }

    {562949953142413, 562949953421312, 31241324123421, 134341341243124, 123413244134 }

    Returns: "No solution"

  142. {1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }

    Returns: "No solution"

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