Statistics

Problem Statement for "PiecewiseLinearFunctionDiv2"

Problem Statement

F is a function that is defined on all real numbers from the closed interval [1,N]. You are given a int[] Y with N elements. For each i (1 <= i <= N) we have F(i) = Y[i-1]. Additionally, you know that F is piecewise linear: for each i, on the interval [i,i+1] F is a linear function. The function F is uniquely determined by this information. For example, if F(4)=1 and F(5)=6 then we must have F(4.7)=4.5.

As another example, this is the plot of the function F for Y = {1, 4, -1, 2}.



You are also given a int[] query. For each i, compute the number of solutions to the equation F(x) = query[i]. Note that sometimes this number of solutions can be infinite.

Return a int[] of the same length as query. For each i, element i of the return value should be -1 if the equation F(x) = query[i] has an infinite number of solutions. Otherwise, element i of the return value should be the actual number of solutions this equation has.

Definition

Class:
PiecewiseLinearFunctionDiv2
Method:
countSolutions
Parameters:
int[], int[]
Returns:
int[]
Method signature:
int[] countSolutions(int[] Y, int[] query)
(be sure your method is public)

Constraints

  • Y will contain between 2 and 50 elements, inclusive.
  • Each element of Y will be between -1,000,000,000 and 1,000,000,000, inclusive.
  • query will contain between 1 and 50 elements, inclusive.
  • Each element of query will be between -1,000,000,000 and 1,000,000,000, inclusive.

Examples

  1. {1, 4, -1, 2}

    {-2, -1, 0, 1}

    Returns: {0, 1, 2, 3 }

    This is the example from the problem statement. The detailed information about the queries is: There is no such x that F(x) = -2 is satisfied. F(x) = -1 is only true for x = 3. F(x) = 0 has two roots: 2.8 and 10/3. F(x) = 1 has three roots: 1, 2.6 and 11/3.

  2. {0, 0}

    {-1, 0, 1}

    Returns: {0, -1, 0 }

    This function's plot is a horizontal segment between points (1, 0) and (2, 0). F(x) = 0 is satisfied for any x between 1 and 2 and thus the number of solutions is infinite. For any other value on the right-hand side, it has no solutions.

  3. {2, 4, 8, 0, 3, -6, 10}

    {0, 1, 2, 3, 4, 0, 65536}

    Returns: {3, 4, 5, 4, 3, 3, 0 }

  4. {5,4,-5,-5,4}

    {3,4,5,-6,-5,-4,6}

    Returns: {2, 2, 1, 0, -1, 2, 0 }

  5. {-999999999,1000000000,-1000000000,1000000000,-999999999}

    {-999999999,-1000000000,1000000000,999999999,0}

    Returns: {4, 1, 2, 4, 4 }

  6. {938739625,62388846,-492102735,-216944424,32206644,-7366707}

    {-216944424,875478797,-7366707,32073495,232392727,-235139861,-750940785,-492102735,-525449097,32206644,-719350039,62388846,422868623,-795108099,621630529,938739625,-136437462,30534084,446394612,938739625,27294824,73092004,-766705350,53353774,-7366707,-7366707,938739625,-614926525,-7366707,-713014072,-216944424,-7366707,32206644,32206644,-403037462,-216944424,-7366707,-488414239,-492102735,-7366707,568872752,440547564,-492102735,553452830,-293123606,-374728372,62388846,481720375,694567428,-828136415}

    Returns: {2, 1, 3, 3, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 1, 0, 1, 3, 3, 1, 0, 3, 0, 2, 3, 2, 2, 2, 2, 3, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0 }

  7. {-885353308,3615735,609846988,596927313}

    {-785989699,-317860100,609846988,-244571324,974319250,-885353308,-893863912,596927313,541248514,-878385611,-885353308,3615735,-234815081,228018030,229895569,-885353308,-619516345,596927313,-678364322,439429032,-602180511,-520966157,609846988,-885353308,3615735,-885353308,596927313,596927313,-427842649,3615735,3615735,234584602,-885353308,609846988,-606841145,444162083,-606806953,-323073047,596927313,609846988,399949290,871701607,8546207,-979591408,596927313,596927313,596927313,611278909,-147548802,84363701}

    Returns: {1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1 }

  8. {229891162,159022385,-957914765,-822390193}

    {591686415,197485000,229891162,-822390193,-506839984,-748616661,-76360001,-296009725,-665638659,-100337966,159022385,229891162,569887420,229891162,785371207,-719708586,-822390193,-822390193,-238115080,835219387,-552927901,-312887311,531367622,-703119693,583151169,762458440,-279856301,-483891308,-542314607,40541099,159022385,765839879,691991586,159022385,-882149830,535240289,-526982241,-689520626,-424727289,242905212,-854034102,238876023,229891162,251936398,657622635,243949961,249935463,69711936,159022385,753851030}

    Returns: {0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0 }

  9. {-649830083,-138333254,115161279,-511760558,-830427338}

    {-649830083,-649830083,115161279,627501796,-91206785,794292427,261238628,-193971221,570396054,-955677962,764273851,631480510,-101018302,-511760558,-68118826,-405878665,-364316551,-830427338,115161279,-511760558,915999760,942758096,-138333254,327143996,338155313,134535353,685754485,-975074218,115161279,586714374,-511760558,-953939773,-509813990,-138333254,-790903864,-511760558,-830427338,-286810036,836539808,-138333254,-649830083,567680301,-438801487,-165789668,-63028697,96857602,-301104479,-649830083,966562620,606073253}

    Returns: {2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0 }

  10. {274210360,57328433,571638666,767166916,-526283929}

    {57328433,-526283929,-526283929,241934601,57328433,-864580648,295740476,-505362367,57328433,-885570456,638973945,201070980,-60686603,-687686968,-947237187,86440745,387504031,-151698605,-614932036,-20916724,746254420,-202047540,767166916,627483438,-963441110,-526283929,637630100,619954402,571638666,-823341896,571638666,767166916,957804316,26086799,-940260578,-526283929,968072614,-289991550,774094273,-526283929,295689631,579110124,445445445,753895006,196033651,-526283929,-568981367,-111089695,571638666,960551828}

    Returns: {2, 1, 1, 3, 2, 0, 2, 1, 2, 0, 2, 3, 1, 0, 0, 3, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 3, 1, 0, 1, 2, 0 }

  11. {709086973,120701695,-559617847,-134880755,177006607,-867961511,431426049,702954439,-608728772,-655421160,-859388162,-452649272,-698023927,-762690800,-123132787}

    {-762690800,-452649272,-964926481,787302255,120701695,-110426896,-978953408,-655421160,682079132,-867961511,-123440601,-952374503,-322193381,17305855,-946860106,702954439,959798657,198588916,257866759,-859388162,509596453,937636593,-867961511,957558677,431426049,-269295159,848622713,796561404,-134880755,-659091642,177342530,-655421160,-211760954,-577021494,290138356,-867961511,-920789785,508494623,702954439,431426049,709086973,-15598323,-750819356,-608728772,-598423141,-608728772,153888359,-452649272,-263950044,-681395976}

    Returns: {5, 7, 0, 0, 5, 5, 0, 6, 3, 1, 6, 0, 6, 5, 0, 2, 0, 3, 3, 3, 3, 0, 1, 0, 3, 6, 0, 0, 6, 6, 3, 6, 6, 6, 3, 1, 0, 3, 2, 3, 1, 5, 6, 6, 6, 6, 5, 7, 6, 6 }

  12. {667056978,369170028,-549103718,-926074100,768431181,-49066055,96530550,-658707759,370788555,689426698,-193671039,904161358,-463187661,-81075225,139148340,-657289555}

    {96530550,398597787,196041976,-903104963,-193671039,-657289555,-549103718,-102565294,-75702179,688025866,-235492189,-63359172,-657289555,309951074,80678476,-658707759,-461589434,517923126,552468068,904161358,-229254282,-657289555,-881826921,-899649628,675419310,361799670,-463187661,960347163,139148340,-656746254,-716752014,-549103718,768431181,-363566013,-680146153,842690538,-980162742,-169575431,-548958848,-411257948,139148340,380156381,694956323,808603694,2974862,667056978,-375737857,-21373440,304912070,563945521}

    Returns: {10, 7, 7, 2, 8, 5, 5, 9, 9, 6, 7, 9, 5, 7, 11, 3, 7, 7, 7, 1, 7, 5, 2, 2, 6, 7, 6, 0, 8, 5, 2, 5, 3, 7, 2, 2, 0, 9, 5, 7, 8, 7, 4, 2, 11, 7, 7, 11, 7, 7 }

  13. {619115079,-174128725,-989322738,318966236,-524486256,699272673,434078560,-36225862,335108541,761005752,85590076,514478642,-543307947,-316988710}

    {334135513,-217869973,212468697,215883718,-494591793,619115079,-616132491,614635286,800220160,439694265,986012749,-853260697,562030648,97852224,-328090381,813907621,-56934313,-989322738,318966236,434078560,619115079,-85086476,514478642,428509468,-989322738,318966236,514478642,125343976,-989322738,-119602484,42691632,81536793,-989322738,-194177540,-316988710,186878342,85590076,-986142812,434078560,619115079,327149602,-36225862,-543307947,335108541,-655641129,-457943355,607786555,85590076,-790552497,-174128725}

    Returns: {7, 5, 9, 9, 6, 5, 2, 5, 0, 7, 0, 2, 5, 9, 6, 0, 5, 1, 8, 7, 5, 5, 6, 7, 1, 8, 6, 9, 1, 5, 7, 7, 1, 5, 6, 9, 8, 2, 7, 5, 7, 6, 3, 7, 2, 6, 5, 8, 2, 5 }

  14. {854603823,-292720586,362208889,776019907,255574088,165819204,498641231,-491421369,-155209499,-1240177,-334116243,462425233,-917980825,-491549329}

    {709343663,-113327283,274118454,462425233,-949232391,-982929533,610103766,-1240177,462425233,-192682320,506954794,-1240177,789821061,-676480610,105384552,-205359034,165819204,-943491534,361077974,255574088,-885688119,166705490,695099819,-185119853,-269958457,268162928,165819204,-1240177,-491421369,322106473,-848740762,-394915399,234086778,462425233,-143602145,-469986896,378114222,58448429,-917980825,776019907,318198951,880245500,69279060,-591159144,-111282408,462425233,-917980825,522054429,-74039316,-892139253}

    Returns: {3, 7, 7, 6, 0, 0, 3, 6, 6, 7, 3, 6, 1, 2, 5, 7, 6, 0, 7, 7, 2, 7, 3, 7, 7, 7, 6, 6, 2, 7, 2, 3, 7, 6, 7, 3, 7, 5, 1, 2, 7, 0, 5, 2, 7, 6, 1, 3, 7, 2 }

  15. {-362241370,354365747,-460697905,-522683887,347190691,-682299514,168007525,639118147,-463318093,185840360,-632001762,278595182,266930854,-131620809,-833696812}

    {19799131,639118147,347190691,-648379070,-131620809,185840360,67194165,-109190133,-461096805,645774913,-463318093,354365747,-887272528,639118147,702722877,-194790665,-855571547,278595182,-915979234,790278958,-130935267,-970762093,354365747,-682299514,304714910,185840360,278595182,-991246892,-501411432,833903488,212761532,278595182,33024934,637911884,-925881937,315882028,-513308530,-857444144,347190691,630715415,46295635,-692435590,300744945,653186256,964121472,115908089,-522683887,680706749,-943296030,312494052}

    Returns: {10, 1, 5, 3, 10, 9, 10, 10, 9, 0, 8, 3, 0, 1, 0, 10, 0, 7, 0, 0, 10, 0, 3, 2, 6, 9, 7, 0, 7, 0, 8, 7, 10, 2, 0, 6, 7, 0, 5, 2, 10, 1, 6, 0, 0, 10, 6, 0, 0, 6 }

  16. {-121127638,303752998,-995676160,507599191,939953677,-5974292,131264706,98687741,254718716,843371075,343886502,-175081687,-803956030,680464797,331011774,469739812,-383182270,326732225,-560414819,-338322037,-832626351,-67325008,360219215,228103695,463299126}

    {-129824395,-427083122,-28753697,670692497,668200024,642273755,-895835373,-71180074,-197482431,-37266658,939953677,-826142263,98457096,-67325008,887615971,-35120686,-334095652,98687741,992780446,-750807770,-5974292,-47117506,-690654284,-538218284,664214924,-383182270,833236902,404172972,607753296,939953677,651331421,343886502,-615134058,174896592,-67325008,-383182270,-350883422,-493102790,-754483970,-175081687,131264706,294371602,792642181,-43856493,491697341,288429341,-401619412,-357900401,543137675,-247052238}

    Returns: {8, 8, 9, 6, 6, 6, 2, 9, 8, 9, 1, 4, 11, 9, 2, 9, 8, 12, 0, 6, 10, 9, 6, 8, 6, 9, 4, 9, 6, 1, 6, 11, 6, 11, 9, 9, 10, 8, 6, 8, 12, 13, 4, 9, 6, 13, 8, 10, 6, 8 }

  17. {-245475417,596120654,206178711,-469417108,714311235,808579940,45399858,917057486,273329633,1985580,-389351029,677884166,524513514,-282833518,-745555505,-237400658,625280888,-80249342,711799602,-769352162,-380386732,-783656747,-410407977,-202756640}

    {-370257428,190983032,536771216,-431605666,-328873486,810671144,-545016248,-829567499,346912850,-80249342,-620002398,-769352162,917057486,-769352162,-783656747,625280888,808579940,718532129,666111055,84433264,585623142,700426931,-986524074,633905680,999038868,-398073670,-745555505,903785112,6104456,134951756,-80249342,-263865934,-106057256,886323606,496409477,766250065,-564418892,1985580,-730633249,115142014,-815002846,-798251981,-676936861,-551660544,-781424112,-849711146,-202756640,714311235,-80249342,-237400658}

    Returns: {8, 12, 12, 8, 8, 2, 6, 0, 12, 9, 6, 3, 1, 3, 1, 9, 3, 4, 8, 12, 12, 6, 0, 8, 0, 8, 5, 2, 10, 12, 9, 8, 8, 2, 12, 4, 6, 10, 6, 12, 0, 0, 6, 6, 2, 0, 9, 4, 9, 9 }

  18. {-467336678,879859917,932059179,884790814,-808082270,476336148,279808360,-848464608,-792623972,-940932103,450439425,916589189,975606222,982385562,-789463893,-461935391,113779493,-574321302,-504209167,654243315,464099869,574017518,142791486,770364797,-739273036,-158041059}

    {321247168,-79616874,-673499996,240659530,100792991,770364797,389846482,450471939,450439425,-510972489,210529669,-15501951,195194171,986781635,-845517057,487044179,434753648,975606222,-489558716,34053578,-739273036,-467336678,574017518,-158041059,-778749423,593526739,437323568,-436023569,363745952,786442371,980000382,-81971901,654243315,654243315,-77282970,-239852190,-519480121,574017518,722703288,-619859626,-228737195,450439425,456077407,165932313,563912528,982768930,899131496,-651782077,-463452503,-481143683}

    Returns: {10, 10, 8, 10, 10, 5, 10, 10, 10, 10, 10, 10, 10, 0, 4, 10, 10, 2, 10, 10, 7, 11, 9, 11, 6, 8, 10, 11, 10, 4, 2, 10, 7, 7, 10, 11, 10, 9, 6, 8, 11, 10, 10, 10, 10, 0, 4, 8, 11, 10 }

  19. {930051545,674410887,161242924,761139749,-613645544,931901569,859497349,8279506,821384692,563699953,-884961412,919734989,-312413618,-243235275,-951984231,-456193229,-506434303,-431072024,574418312,230138797,-566763998,-24133218,959805753,-305914474}

    {51270253,-951984231,-227548629,574418312,161242924,-453397256,919734989,-151067349,574418312,-853813765,-431072024,-952540620,-450522803,-80105181,-305914474,889710373,-622144464,821384692,-448681930,-521537096,-932420065,246073840,620713605,859497349,-577990984,-294842821,492241673,8279506,-765525032,574418312,775740141,931901569,-566763998,401214161,-213262991,-161558020,-757530517,327906310,-61945987,930051545,-243235275,63065185,-804991508,-125080713,-621604507,947399869,161242924,-924369202,959805753,931901569}

    Returns: {11, 1, 9, 12, 12, 8, 6, 9, 12, 4, 8, 0, 8, 9, 11, 7, 4, 8, 8, 8, 2, 13, 11, 7, 6, 11, 13, 10, 4, 12, 9, 3, 7, 13, 9, 9, 4, 13, 9, 5, 10, 11, 4, 9, 4, 2, 12, 2, 1, 3 }

  20. {-611518431,145540428,195634459,-380636285,246327186,322852522,843285789,-524519843,161563484,90268089,440424475,-675049628,-213907509,-525653960,980585720,-128932655,194004246,175079899,-827245733,720745916,810610687,817288215,770820925,760799061,-435541203,439951759}

    {439951759,-123608272,67007507,930134418,-588649150,-934237898,-547454227,711002184,-484600908,-794239351,90268089,-64242019,41510394,-747120068,255491009,-588692510,-742449096,439951759,720745916,607614749,980585720,-492049997,-522803231,-524519843,-974738198,266850372,542699897,580653371,-380636285,145540428,383057914,311794503,810610687,90268089,270910698,920593982,-900373053,829270340,-190843902,26366171,194004246,597542053,-525653960,-781772756,-641693645,322852522,-967073697,-362428832,90268089,566580958}

    Returns: {9, 13, 13, 2, 5, 0, 5, 6, 9, 2, 14, 13, 13, 2, 9, 5, 2, 9, 6, 6, 1, 9, 9, 8, 0, 9, 6, 6, 12, 15, 9, 9, 6, 14, 9, 2, 0, 4, 11, 13, 12, 6, 6, 2, 4, 9, 0, 13, 14, 6 }

  21. {379310246,853974550,-433473592,-777480426,700304104,769135600,-907602483,-477506600,-98364175,212723013,-532292692,-431750432,-640972927,-168077452,-475022706,-381288730,409981480,-752803874,420571456,-14985228,-229962576,740654444,-477133720,378093101,-781324181,-424388563,399696055,-174295448,855237247,390740637,-379533033,-318572128,445905602,286082584,-659713999,-296775954}

    {-98364175,696743067,-489159994,798632068,420571456,-229962576,-748449828,156705665,769135600,205697486,-14985228,726744187,112050385,-356066559,-659713999,-593575164,-306915349,710507611,700304104,846522511,733968340,779107762,855237247,-725693223,832226263,654653284,662311318,-906572511,-570759127,-318572128,848614207,212723013,-463732886,624486569,-676347023,999420452,145140255,-381288730,-379533033,-298432346,-293512167,799488291,665190143,785798035,-441740328,-477133720,399696055,-240048348,687387614,-907602483}

    Returns: {19, 8, 14, 4, 11, 18, 8, 19, 5, 19, 19, 8, 19, 18, 9, 12, 18, 8, 8, 4, 8, 4, 1, 8, 4, 8, 8, 2, 12, 18, 4, 18, 18, 8, 8, 0, 19, 16, 17, 18, 17, 4, 8, 4, 18, 15, 15, 17, 8, 1 }

  22. {-596472115,855327049,-348660786,716112329,-292612958,781872676,149909524,-94518872,987539745,-469062939,260802578,-587424417,434714279,-688316318,767289163,171812528,-408611567,-961267632,255764813,-574324667,-53309392,-881290360,646778659,-708514893,756354943,5141489,-639917936,991076425,503806443,365988947,-828624527,-544158756,717281781,85078154,398509431}

    {-780782121,-302525339,-692029917,-546406284,-141751817,-479095347,717281781,892805749,-587424417,-544158756,-708514893,523723761,498836522,-199216408,6355014,503806443,463707704,900290934,-660040410,-818505710,171812528,-857851508,-881290360,-130329781,-787977494,-934080491,717281781,756354943,-656303745,889808658,-574324667,648830437,-664549835,-53309392,-53309392,966731562,717281781,-384997149,344322977,987539745,-965150754,-510045041,897797066,-427724043,369462757,-926531839,-596472115,-783144001,467511080,220056322}

    Returns: {6, 21, 8, 17, 23, 17, 13, 4, 14, 17, 7, 18, 18, 23, 23, 18, 18, 4, 10, 6, 25, 4, 3, 23, 6, 2, 13, 11, 10, 4, 16, 16, 10, 24, 24, 4, 13, 19, 21, 3, 0, 17, 4, 19, 21, 2, 13, 6, 18, 25 }

  23. {597562668,942076415,672910135,640198803,-857726739,56224500,108821294,-231641282,430181520,-628792510,-975554012,-536251111,262845851,-705492767,-4744483,586001915,531247159,587407240,989571440,-328422784,-430975008,114620240,-498747557,918748841,-480047686,-460861416,-298711392,-438794108,358381211,185513290,451137431,-215864422,-374778781,-203279888,-274285041,369861273}

    {369861273,-144188530,717809676,-430975008,-328810741,-857726739,431369289,989571440,594190416,835301249,-328422784,-673510664,-233746023,174021111,-696072718,-992222106,-203279888,935551733,-701955018,265423600,-776566628,81903595,577171472,-863657498,672910135,857829306,704988860,-801009853,806605,-438794108,989571440,-398208997,-166669236,-15500069,587407240,587407240,-480047686,-975554012,301461092,238134518,-644970040,695007748,531247159,989571440,-975554012,461862279,-220657579,665448726,880926200,-274285041}

    Returns: {10, 16, 6, 13, 16, 3, 7, 1, 5, 6, 16, 6, 16, 12, 6, 0, 17, 4, 6, 12, 4, 16, 7, 2, 6, 6, 6, 4, 16, 11, 1, 14, 16, 16, 5, 5, 9, 1, 12, 14, 6, 6, 6, 1, 1, 5, 18, 6, 6, 15 }

  24. {-774278700,-649438978,-894050323,-910211885,-551799583,-865302725,219915079,-315844069,689242803,346759924,463274962,-764200508,490354346,509373952,71265939,768737597,-255561672,-118895186,-958728057,-120975006,988822967,-250358927,839007350,-912508768,828204120,949084465,-648166675,-197396636,-660385041,-520661404,934482951,-446328760,938487849,-64335221,550675108}

    {374325955,934482951,839007350,381048634,550675108,-786883911,-722541182,-804299952,46678127,119859415,-23906997,-894050323,837367476,-964875671,150694770,-21720332,643374937,-887374443,-910211885,768737597,752686663,-164518582,-894050323,-575703989,-648166675,463274962,858936077,-255561672,509373952,-523157212,490354346,174949867,-50693634,768737597,71265939,684343361,-127532770,628024142,181186515,-914057036,938487849,-774278700,857541036,921570045,988822967,-599706774,-754673047,-165527423,-742917040,-8113201}

    Returns: {19, 7, 9, 19, 15, 8, 11, 8, 17, 19, 17, 6, 10, 0, 19, 17, 14, 6, 5, 11, 12, 17, 6, 13, 12, 18, 8, 16, 16, 11, 17, 19, 17, 11, 18, 14, 17, 14, 19, 2, 5, 9, 8, 8, 1, 13, 11, 17, 11, 17 }

  25. {-147739202,-170706467,-907372719,513622854,-208299134,-276181962,-758526289,799851672,711462110,879671403,-965961378,758537622,-591902378,-205962709,615550386,190295938,490174308,-7704508,-495652208,-565861865,-689352779,181162931,-912138262,533843647,721654359,-848544622,857063291,-583078524,382749380,-406383879,-833939963,-405963971,105543951,944237583}

    {-583078524,-758526289,381053342,-689442289,-147739202,321885998,629866190,-833939963,-405963971,-848544622,193548063,-823634804,298034583,-283085030,-515438744,378471524,-835402613,190295938,596829284,10468637,-891313667,987310744,-758592460,-795971270,-205962709,-624689810,-565861865,615550386,-723233963,-139866816,105543951,440725638,857063291,269785397,447637750,-495652208,-276181962,-925880636,-907372719,-656252542,721654359,533843647,613497418,138234903,772501331,-681778696,-775749538,-848544622,835816072,-622259076}

    Returns: {17, 11, 17, 12, 18, 17, 9, 9, 18, 7, 17, 10, 17, 18, 18, 17, 8, 16, 11, 17, 6, 0, 10, 10, 18, 14, 18, 10, 12, 17, 17, 15, 4, 17, 15, 18, 18, 2, 5, 14, 10, 11, 11, 17, 7, 14, 10, 7, 5, 14 }

  26. {-564163250,-484852294,-593720171,-198758168,523135652,810328285,-384544098,-925219675,-959520685,-478246968,616519311,349028294,-550132360,141152919,328920823,322007406,894571646,-959071327,-581221027,-458212764,844465040,-342555282,152067646,526494002,295022577,197060500,343249456,-753068325,326687530,724823627,97657680,-50097350,-369862850,372702532,-873991383,708520392,-535694929,843688511,552003693,-943491667,437845816,-609948231,-660941360,-403317268,491056215}

    {894571646,-495904661,421852802,-931325870,596701463,134212681,372123620,475792154,-232024477,230055710,853825442,-893457993,-50097350,-384544098,980003916,-338343310,-485409754,-925091844,528404543,914890936,491056215,-943491667,-152367083,-562428695,810328285,630368345,211679489,-835911005,97657680,281482405,-660941360,-818852717,334285318,-345164463,-374689723,-535694929,78371903,564870199,-342555282,526494002,409376925,-14436844,937799655,810328285,-484852294,-643786550,-524494530,-349455448,339606301,521141577}

    Returns: {1, 19, 19, 6, 14, 21, 21, 17, 21, 23, 2, 6, 21, 17, 0, 21, 19, 6, 14, 0, 17, 5, 21, 15, 7, 12, 23, 8, 21, 23, 11, 8, 23, 19, 17, 18, 21, 14, 20, 15, 19, 21, 0, 7, 18, 12, 19, 19, 23, 16 }

  27. {451077349,927373865,582843035,-963649681,129999799,-779280878,-563887687,-731111671,-653888890,-40295478,384181017,53113826,252752114,706247563,-725706388,147466731,-517602599,-605843412,492411740,159686421,-312771477,331655034,-935435784,-980730785,13287401,195667362,804356476,-534355802,-535673679,-933731768,494982344,-515742420,-558452695,-792101228,-794591736,312208707,138003968,524656942,14228057,887033145,-78485089,400172254,651015981,-573316584,-642482096}

    {-136168341,13287401,-317139466,252752114,174000836,777332911,762535837,208449212,887033145,75599222,-563887687,492411740,-277093156,53113826,798440550,-642482096,312208707,462004445,159686421,366145387,159686421,492411740,-217566923,-573316584,804356476,720852536,-642482096,-980730785,-809625525,644096273,465736557,462038565,-755770740,-281321423,-443405604,400172254,466998501,195667362,510749555,-414708407,-964832119,979370564,-642482096,-286916599,-811153631,251347358,53113826,53113826,792803213,-871433653}

    Returns: {17, 19, 15, 21, 21, 6, 6, 21, 3, 23, 16, 15, 17, 22, 6, 15, 20, 16, 21, 17, 21, 15, 17, 17, 5, 6, 15, 1, 6, 10, 16, 16, 10, 17, 15, 15, 16, 21, 12, 15, 2, 0, 15, 17, 6, 21, 22, 22, 6, 6 }

  28. {205618776,498542625,-61134039,764579149,554853621,-329316407,-583471734,-95083068,735490706,-569150256,98000762,396003438,-465594360,951269281,533363201,-363702151,553545294,-762921693,-890987185,165855859,73980570,-797881539,-576685114,149820320,933160188,924759738,429146394,-367212369,-213480400,211250500,-862660240,-409033389,485928735,533551113,317610636,-720250415,731288992,-89441106,338632381,407518022,637919018,-633912902,-943501589,262209045,411196410,223912015}

    {75371614,-310342733,-370855392,-78764771,394791604,-895978814,-95083068,-797881539,-72592397,-729326341,-122167084,-993359268,-89441106,-801127500,165855859,341587757,-409033389,-890987185,-329316407,-170731379,223912015,791762506,822943387,-363702151,-697623231,-11036277,531795637,498542625,-937150990,731288992,-182310669,668390038,319758653,165855859,270035259,-569150256,-211373367,951269281,487296973,-436433267,946720731,-922654263,142956606,396003438,262209045,-335716420,-720250415,554853621,951269281,404754153}

    Returns: {24, 20, 16, 22, 22, 2, 20, 7, 22, 8, 20, 0, 21, 6, 23, 22, 16, 3, 20, 20, 22, 4, 4, 19, 10, 24, 16, 17, 2, 9, 20, 10, 22, 23, 22, 13, 20, 1, 18, 16, 2, 2, 24, 21, 22, 20, 9, 12, 1, 20 }

  29. {-471893133,-375828342,641375423,916771038,-543866696,-11055782,-346588412,433790639,942241140,772810218,-426695085,-898451026,-35293096,712861558,364693067,384883072,-347684973,474118579,-536539101,-700902866,359591956,523129246,-705626033,-386572730,-725121236,17027162,986108933,-218334597,-91527851,73344288,796948375,794340033,528764611,-540298335,-484638107,101928093,-102479349,478829651,414147159,776152059,501125872,-376802397,213758985,156492879,-117148486}

    {523129246,364693067,642451525,-721969246,227098157,-123138543,-661692475,-700902866,221337220,-426695085,-346588412,-820558753,-232825507,-835069210,-148875567,-301252226,-468008568,495992815,757460684,73344288,528764611,-900438356,-842647279,200126287,-667991596,-524619687,136858179,954370756,-214776591,-891406516,528764611,-570106058,-218334597,156492879,-601063540,580549102,-543866696,-346588412,-954098297,-270515842,315772292,-344810705,-836591135,384435944,921890770,-332662599,-93151226,162521548,-117148486,641375423}

    Returns: {13, 17, 12, 4, 16, 19, 8, 7, 16, 13, 16, 2, 17, 2, 19, 17, 13, 14, 10, 20, 12, 0, 2, 18, 8, 12, 18, 2, 19, 2, 12, 8, 18, 18, 8, 12, 9, 16, 0, 17, 16, 17, 2, 18, 4, 17, 22, 18, 20, 12 }

  30. {431504632,-813499967,-105160677,-672682412,-720202364,-610996752,-349777494,285785930,-192941320,-27110596,-518808287,811999848,-527760306,87499967,267942651,503880220,-811919228,739191060,565242894,392530481,716718611,-537054554,823000084,131595388,685810630,668653381,600423373,-887459761,-817243873,614272646,412022826,-572213345,886546529,-836845334,-623105836,589969029,261233423,-249597103,-61559715,964403993,-538046991,313206686,-420117003,983193266}

    {-667326447,383208212,589759138,716718611,-811919228,811999848,811999848,457952559,-427101839,823000084,-425703319,-98236870,779240487,163051430,114090449,-710853468,668653381,-247751407,-836845334,-537054554,668653381,-817822681,307848110,-75938319,-518808287,325392008,708716679,-192941320,-27110596,170779816,-537054554,739191060,-16646506,245315512,248532527,207450117,-428764444,-533397519,-758163381,-29078567,308957903,559012374,-27110596,-366536769,-151927889,261233423,-892894172,-973782937,-483725448,-706943662}

    Returns: {10, 20, 19, 12, 7, 8, 8, 21, 20, 6, 20, 24, 9, 24, 22, 10, 15, 24, 3, 15, 15, 4, 22, 24, 19, 20, 13, 25, 23, 24, 15, 10, 22, 24, 24, 24, 20, 16, 8, 24, 22, 19, 23, 22, 26, 24, 0, 0, 20, 10 }

  31. {946468408,114162059,-42263538,760928640,65913147,917456863,-790838058,848085077,-551280445,829652057,-632629681,-246305471,-937735806,-658551655,447803179,379903514,-146809901,-80970626,-672599071,441340729,419392490,-779085416,32113863,-943250847,-914566749,453180526,776749437,317396698,-908593008,71607854,561904922,487110801,60357515,822514418,369061404,-696763217,426924305,459737832,-706255510,-775228128,-910025939,383433468,317984404,-586619020,194552835,-82941460,-152863582,-265047328}

    {-27885987,133807412,445920771,60357515,855909116,71607854,-565396932,-779708616,192685804,-969819905,303233368,-475400489,-431590698,-671379501,-299385989,187008188,-316713027,-644953245,459737832,243913521,756784219,-745255242,919981531,-12510057,721824955,825103836,573267064,561904922,-221510666,60357515,792873646,-73071310,822514418,732304493,26842428,-672599071,-908593008,-937735806,-360690961,-943250847,231184999,297923650,32113863,773078682,415769603,574146140,-718457709,-547046484,103306142,760928640}

    Returns: {23, 25, 19, 22, 3, 25, 20, 10, 25, 0, 23, 22, 22, 16, 22, 25, 22, 16, 16, 23, 13, 12, 1, 23, 13, 7, 13, 14, 21, 22, 9, 21, 8, 13, 23, 15, 7, 3, 22, 1, 23, 23, 22, 11, 21, 13, 12, 22, 25, 12 }

  32. {-295534808,104804683,-718625977,-324574214,715671903,283593923,984745171,-584829698,684261603,38953960,372017565,-29718890,789951430,-263606129,990203204,912135034,-433233399,46570331,397411912,649598578,-60639383,-886195369,636115520,-946673781,-647400873,-727836465,963280728,634244350,806480353,482992566,-748018121,-783288167,-795832509,-783380303,106058695,876926200,579112581,112273863,918837657,-190278085,-512046400,-575906986,-141112638,-258013465,139070380,-2577604,80232793,-471502703,-327612545,-681566684}

    {-353940013,104804683,579112581,321962494,-782592578,270463355,372017565,-471502703,-268260463,969033516,901785159,-410166930,-917658015,-883148406,478852295,-130703995,-957685230,10522267,372017565,627183770,963280728,-547316079,451461502,-761099716,462580266,391475817,44835607,806480353,974149871,393135283,445183930,-258013465,-471502703,-169462736,-309003094,348977914,-407464345,715671903,-9096410,-399522329,477778427,242589752,789951430,112273863,500378992,80232793,-915113305,-507582802,-955590918,762254780}

    Returns: {17, 21, 20, 22, 6, 20, 21, 14, 16, 4, 8, 17, 2, 4, 20, 18, 0, 22, 21, 20, 5, 13, 20, 6, 20, 20, 24, 11, 4, 20, 20, 19, 14, 20, 15, 22, 17, 15, 20, 17, 20, 20, 13, 21, 20, 23, 2, 13, 0, 14 }

  33. {-179026779,854264724,-692866651,294508947,418114099,451314127,-999062409,330597146,170287693,-713029193,343662818,-501128884,716982591,940554785,87703437,153549987,-592822822,-862882740,683433623,807657272,314867445,503987240,-149218605,753451985,-936031436,-691356702,382326603,-306975135,-259028319,64201860,-855220099,-944611507,316315643,-140483205,169529718,678346687,-799489451,804088203,-290729752,-902121325,-171370243,73680958,-813446160,-185270828,496863240,700757224,-928562611,-402654064,-932594605,474530047}

    {132262772,-901351799,-852524257,-899774379,-488684101,-107867663,-185270828,-928562611,919185272,387926252,-136362453,330597146,-542584538,-582372411,692250936,573947395,418114099,770684887,-135380637,-18608503,-976525226,518114796,-999062409,-149701866,-306975135,330597146,37414675,111533846,327087785,-871968621,907439113,-713029193,-288765023,830554841,330597146,700757224,-332861412,615187958,-441255652,-193100785,172837883,914567079,391063250,249218472,-659242922,-971612393,807657272,52338258,300108177,-348898964}

    Returns: {27, 12, 14, 12, 24, 29, 24, 9, 2, 19, 29, 24, 22, 22, 12, 14, 19, 8, 29, 29, 2, 14, 1, 25, 23, 24, 29, 27, 25, 12, 2, 19, 24, 4, 24, 11, 22, 14, 24, 24, 25, 2, 19, 25, 22, 2, 5, 29, 25, 22 }

  34. {-944133122,855098317,-557085928,-707276205,843086892,-140253328,-147141764,-184514155,-257889105,25961742,-688818092,311681121,-219824172,978618202,-415987056,321863220,-986172952,836302545,784858481,726795102,449865948,-88302663,-726503005,-330410203,926474163,282252166,-130430409,-848852183,328110088,864991999,591380303,-691283298,322227674,146890484,-523880272,-313771744,182819695,-697684881,945927679,166396093,-794759307,-928371627,-345085372,658384407,718718847,480107357,785465411,121187401}

    {243923237,282252166,182819695,843086892,-290860022,-345085372,-583078615,-275749572,814370261,-638821618,-679410817,-243249648,658384407,335894952,-951849806,-549034828,-330410203,714415578,480107357,-33372080,-345085372,-726503005,-642615555,-134182043,-486471756,-928371627,-422855446,-971448531,-79701953,-746582277,311681121,448376433,-164784802,677823747,584706667,790785240,869488373,53142089,718718847,-902742912,174593646,-580469621,891852235,-219824172,425277968,-316126227,274327377,-523880272,182819695,-231042982}

    Returns: {22, 22, 23, 11, 21, 21, 17, 21, 14, 17, 17, 23, 18, 16, 2, 17, 21, 18, 17, 25, 21, 8, 17, 25, 19, 4, 19, 2, 25, 7, 21, 16, 25, 18, 18, 14, 6, 23, 17, 5, 24, 17, 6, 24, 16, 21, 22, 18, 23, 23 }

  35. {414781344,-924787593,999424057,918176077,-44859055,-635617612,185609545,-913121685,-624465816,982816402,49686139,433333266,535237439,529112139,660637468,869189870,337581579,-512037184,-18837786,225364345,-830350518,398528930,-46646414,961878496,-3254783,-10330335,-734207935,845076763,520875414,-91439609,493518853,-647462975,-357437294,-172575683,913686186,-244557368,357886729,433811487,973507141,580137626,177729230,-906940400,123457190,-534961170,-826224618,817275357,527506753,-693967303,835903378}

    {414781344,-734207935,630569846,-830350518,886988763,982816402,-649676637,-131389076,703536845,-635617612,999424057,185609545,-509890974,-957628817,-585322313,-747206942,-91439609,745876182,-783689232,995535049,-217890117,-472960620,177729230,-626757579,-235281938,-532985890,149170517,838104391,-405679536,-499760373,118979986,835903378,-235415921,-303726937,-667106789,202813450,869189870,-172575683,808189174,-37767099,580137626,-925034857,203933213,-675474809,155863423,846849781,913686186,-897580632,554524960,961878496}

    Returns: {20, 11, 17, 7, 10, 3, 14, 22, 17, 17, 1, 25, 20, 0, 18, 10, 23, 17, 10, 2, 22, 20, 26, 18, 22, 18, 26, 14, 20, 20, 28, 15, 22, 20, 14, 24, 11, 22, 17, 26, 17, 0, 24, 14, 26, 12, 9, 6, 17, 7 }

  36. {413615837,-683502491,126919036,-439751388,560619804,-752093954,-672964987,464948473,-797489932,881257548,312520377,-473799729,-825357885,-525523461,-880445500,672202426,-372973573,-115828857,-212018195,328812794,671556025,-198487288,-644871981,315349026,64467997,887927802,-149542007,-17971248,859647887,-794316095,-819216338,-335205532,-107787848,340401495,810639,-933528852,938133137,176980456,931388419,268906952,-555500682,-582620111,-182091490,-261048431,-163669661,618144787,113872354,911828562,-420304046,777525715}

    {718662979,316490538,-229373102,674881399,820369389,-115828857,-407899036,374230829,104905080,-420304046,-790447721,464948473,217296366,562621280,-780165352,966415757,-17182735,-172126310,140994478,827017986,618144787,-212018195,-198487288,500865343,126919036,-18122322,328812794,308719615,925208900,618144787,-833663996,-628262455,881257548,-672964987,672075645,615577542,-918256834,911828562,413615837,-555500682,-163669661,-120848000,823112724,898311568,-330189203,-880445500,-887894917,-439751388,-361123776,-821334966}

    Returns: {13, 26, 24, 13, 12, 25, 20, 24, 26, 19, 10, 22, 28, 19, 10, 0, 24, 24, 26, 12, 18, 25, 26, 21, 27, 24, 26, 28, 4, 18, 4, 16, 9, 14, 15, 19, 2, 5, 24, 18, 24, 26, 12, 6, 22, 3, 2, 17, 22, 6 }

  37. {818608315,-942212141,521036247,-827334523,-181273528,-898511666,-227492632,-943015606,197396478,-915400619,440035083,437555219,639235798,-364868622,464699439,30087167,-597914248,-403414791,-637408742,-283790926,900198871,-401988008,809275124,-488428988,69899387,-86420125,760173068,-236331169,-53023713,-409775550,-986331256,199569868,230772646,-879212796,-499315437,-976203674,-481862205,-698624258,-476062765,909200441,-638888358,335505768,672030190,428744516,335414502,-266085036,197995273,-756323891}

    {-892234535,-181273528,-698624258,-672933551,-912312023,864482669,69899387,106514584,-476062765,-623503590,-811709211,-409775550,205194117,-915400619,818608315,19536595,40103378,464699439,-779227198,639235798,-283790926,470234138,-187640247,-236331169,-709590826,-195540892,72140937,-46498719,440035083,794044434,473877309,-916375355,-698624258,-965444398,953419982,167695975,-992582491,-118220065,736776362,-469636892,-364868622,-121483358,-365881813,953977604,282837288,512544011,-817455244,-476062765,30087167,-936424461}

    Returns: {12, 26, 18, 19, 10, 4, 24, 23, 23, 23, 16, 23, 19, 9, 5, 25, 25, 16, 16, 12, 25, 15, 27, 28, 17, 27, 23, 25, 18, 7, 15, 8, 18, 4, 0, 23, 0, 25, 9, 23, 24, 25, 23, 0, 17, 15, 16, 23, 25, 8 }

  38. {520413512,-950623529,116280701,-669663433,-59547726,-337432781,-202982075,-605816935,376050234,-651521669,-668652539,-385798961,-64353819,979857179,-737656593,203473688,-946347975,-684638232,721315668,-121642779,-788644986,579729706,-46111170,234648692,799195021,-192775225,-20570077,497413049,780633302,-572574882,-908106308,647948234,-570840895,-238128286,-197268446,652070350,-916193651,852047883,-218409440,-202895089,604883328,-646385475,368104448,990671324,-989555392,108778377,308159033,282553209,635362820,-551876338}

    {-158351396,275191323,-846801965,-448457976,297191129,926993317,108778377,949173995,-11561625,-218409440,801080771,229062227,-127484771,53106431,990671324,885764448,308159033,-430758740,-122124137,-800356825,-454819784,586819829,368104448,-913019373,520413512,990671324,379951649,-883768963,895195766,600019286,-551876338,-614276531,-640197323,77550441,-608989229,458127263,282553209,-436895148,647000268,-950623529,520413512,57570768,317990919,-349321110,-989555392,780633302,-926340127,-171017038,-385798961,-321751412}

    Returns: {29, 25, 10, 25, 27, 4, 29, 4, 29, 28, 6, 25, 29, 29, 1, 4, 26, 25, 29, 10, 25, 20, 25, 8, 23, 1, 23, 10, 4, 20, 25, 20, 20, 29, 20, 23, 26, 25, 16, 3, 23, 29, 25, 25, 1, 9, 6, 29, 25, 27 }

  39. {134778046,11912509,-682219362,699231801,-751654887,427804870,450776906,588983680,-695309386,-38350443,-323007070,584378641,-901860833,-697535763,-880389544,456505581,-366267460,-600565499,-332809870,597766622,821583092,-710635349,-494915006,-385839718,-713108958,-832568205,50146023,-310048529,-409880151,-470570747,404502464,-711734560,-314972579,200013566,8655067,-981278345,537954049,-889702852,-698928974,833301430,-510028662,-200542667,-119075672,-895778817,-835801129,788859759,922577356,592661455,503799252,-786476323}

    {788859759,-605417151,-948483970,397726110,200013566,11912509,539604196,345105935,-470570747,-183818229,241764003,-133675409,-832568205,-786476323,597766622,202885660,84231398,428078928,-916996902,-643700468,-510451491,553928251,926627279,516002469,86300016,941642203,693648627,-531156188,603479017,588983680,820106115,372952196,747899350,76292881,-880389544,-221204976,-782039140,979386181,370472524,588983680,146247685,-20511707,662051205,-321553408,-786476323,-26203440,-816153623,41357377,-701323137,717017583}

    Returns: {6, 21, 2, 18, 19, 23, 12, 18, 26, 27, 18, 27, 11, 13, 8, 18, 21, 16, 2, 21, 23, 12, 0, 14, 21, 0, 8, 23, 8, 9, 6, 18, 6, 21, 9, 27, 13, 0, 18, 9, 20, 23, 8, 27, 13, 23, 12, 23, 19, 6 }

  40. {-210563894,451015168,-458328741,-732997216,602206494,-579685055,160846819,639075569,-151501204,880828909,456042219,-455935491,-465236363,-271233885,-166390758,-691731418,59589488,888312904,-791642971,964792230,-405140290,469986979,-607126607,-829958820,922218372,-672751502,839890913,-16162775,813773486,-994920110,-16148146,-484345823,-373956722,-17547301,789155794,378930792,-581269148,581299821,536400118,397369100,-385010959,-52183605,364253109,-928419778,-12583071,107615042,-366573221,-58607507}

    {-16148146,-831410157,-732997216,416801916,-928419778,456042219,488092955,505765591,-16148146,-213204912,989572713,888312904,-182073132,639075569,-994920110,-588641040,444359094,-966289867,565983517,639075569,-829958820,986057004,-936491094,-922795612,136229893,-757267331,-672751502,-52183605,869919986,-366573221,-349239222,789155794,-465236363,99403240,839890913,-12583071,-58607507,-455935491,112228449,732556726,875040410,839890913,-373956722,798599363,6854964,789155794,823440882,-590978145,149783394,536400118}

    Returns: {29, 4, 9, 24, 3, 22, 20, 20, 29, 28, 0, 5, 29, 15, 1, 14, 24, 2, 20, 15, 5, 0, 2, 4, 26, 8, 13, 28, 8, 27, 28, 13, 21, 28, 9, 28, 29, 22, 26, 14, 8, 9, 26, 12, 28, 13, 10, 14, 26, 20 }

  41. {-6,-14,7,12,2,-5,-24,12,-12,-6,20,11,0,-10,-11,17,9,-24,-8,21,-14,18,14,8,10,18,-6,-8,1,1,-22,16,-16,-10,-5,4,3,-12,-24,-3,23,1,-15,-1,2,-5}

    {-8,12,8,-3,16,-1,2,8,16,-25,-10,5,-24,6,18,21,12,20,-1,22,6,-12,-24,-20,-1,7,-8,-24,3,-10,-24,17,0,-15,0,-5,14,-14,23,15,-6,22,4,-21,-13,9,-1,-11,-15,1}

    Returns: {21, 16, 17, 22, 13, 22, 19, 17, 13, 0, 20, 16, 3, 16, 8, 3, 16, 5, 22, 2, 16, 17, 3, 8, 22, 16, 21, 3, 18, 20, 3, 11, 22, 11, 22, 22, 14, 14, 1, 14, 22, 2, 17, 8, 16, 18, 22, 19, 11, -1 }

  42. {-2,-5,19,-24,-23,-12,-25,-22,-3,20,24,24,11,3,16,0,-9,7,12,-11,17,6,14,15,1,24,-4,-23,20,-2,2,1,-25,-17,6,-24,-23,15,7,-17,2,-1,-1,-13,-8,-3}

    {10,-8,16,-3,5,12,-8,6,-10,9,-5,19,6,24,-4,18,5,-25,-12,18,1,-23,18,-10,-20,19,-14,21,6,1,5,24,-7,25,-18,23,-9,16,11,21,8,12,24,0,-6,5,-1,13,-8,11}

    Returns: {18, 16, 11, 18, 18, 17, 16, 18, 14, 18, 17, 7, 18, -1, 18, 8, 18, 2, 13, 8, 19, 9, 8, 14, 10, 7, 12, 4, 18, 19, 18, -1, 16, 0, 10, 4, 15, 11, 18, 4, 18, 17, -1, 18, 16, 18, -1, 16, 16, 18 }

  43. {-22,13,-22,7,17,-8,20,-20,-4,8,6,-23,-8,10,-21,-8,7,-25,20,12,-3,-11,20,-23,-24,6,5,1,23,-17,-19,-6}

    {20,20,3,-23,-10,-23,-8,7,22,18,10,0,-18,-11,-10,6,-11,20,13,-13,-16,-8,0,-5,2,-11,-20,8,8,8,14,-20,-22,-8,18,-24,-20,-18,-8,-4,23,-8,-19,-23,21,-23,-4,16,23,5}

    Returns: {5, 5, 20, 5, 17, 5, 18, 17, 2, 8, 13, 18, 15, 16, 17, 19, 16, 5, 11, 15, 15, 18, 18, 18, 20, 16, 12, 15, 15, 15, 10, 12, 8, 18, 8, 3, 12, 15, 18, 18, 1, 18, 14, 5, 2, 5, 18, 10, 1, 20 }

  44. {-7,7,13,7,12,-6,-12,22,-8,-12,22,-5,-6,-5,23,-23,-4,-21,-20,6,-10,16,22,13,18,-12,-1,-19,-3,7,21,7,23,11,-7,-8,13,25,10}

    {-22,-15,7,-25,12,12,-21,20,-4,-20,-6,25,-15,24,-12,6,-2,24,-12,-12,-21,-22,-20,10,-25,6,18,11,-7,22,-24,7,-12,4,-1,17,-8,-5,-20,-11,23,23,19,18,23,-4,12,2,-17,13}

    Returns: {2, 6, 15, 0, 17, 17, 3, 14, 18, 4, 18, 1, 6, 2, 9, 14, 17, 2, 9, 9, 3, 2, 4, 18, 0, 14, 15, 18, 17, 9, 0, 15, 9, 15, 16, 16, 15, 19, 4, 12, 4, 4, 14, 15, 4, 18, 17, 15, 6, 16 }

  45. {-7,3,23,13,-15,23,1,-9,16,16,-1,3,0,-17,22,-24,0,-25,2,20,7,-16,-18,2,18,-5,-5,1,-8,4,4,3,-11,11,14,12,1,24,-20,-23,-3,14}

    {16,-5,-11,-7,17,14,2,22,-5,-5,12,21,-9,16,-9,3,5,-15,24,-15,5,-24,10,23,-16,0,-24,-13,-18,-13,14,22,9,-21,12,18,0,-25,16,-21,2,5,3,19,18,-5,4,-9,-3,-14}

    Returns: {-1, -1, 13, 19, 12, 16, 21, 7, -1, -1, 17, 8, 15, -1, 15, 20, 17, 11, 1, 11, 17, 3, 17, 4, 10, 22, 3, 12, 7, 12, 16, 7, 17, 6, 17, 11, 22, 1, -1, 6, 21, 17, 20, 10, 11, -1, -1, 15, 21, 12 }

  46. {24,17,-16,-20,-12,-1,-11,2,-24,-13,-1,-9,21,24,19,-24,-8,0,-21,-13,17,-11,24,11,-6,-14,10,19,-1,5,25,-22,-12,-10,13,19,-9,-7,24,-13,0,9,10,13,-14,-3,10,-12}

    {10,4,-24,13,-22,-16,2,5,18,0,5,-18,13,1,-22,12,-19,-3,5,0,-23,-5,-2,-24,15,-9,-7,8,9,-10,19,8,6,23,18,21,0,-19,-4,-10,13,-19,7,-8,20,7,-11,24,-24,-1}

    Returns: {18, 19, 2, 16, 5, 10, 20, 19, 13, 22, 19, 10, 16, 21, 5, 17, 10, 25, 19, 22, 4, 25, 25, 2, 15, 23, 25, 19, 19, 21, 11, 19, 19, 9, 13, 9, 22, 10, 25, 21, 16, 10, 19, 25, 9, 19, 19, 6, 2, 24 }

  47. {-14,-18,9,13,-21,-2,-4,-12,20,5,-9,-4,-22,-23,-12,22,-14,19,17,-14,2,-23,10,-14,11,-22,12,-6,10,25,9,-21,2,-3,-19,-20,18,-5,24,22,10,19,11}

    {-4,12,22,-20,12,0,15,25,22,-17,18,-21,6,5,-6,9,22,-3,25,17,-2,-20,11,-12,-23,17,22,0,-17,7,20,7,16,-10,-15,-22,19,22,13,-23,14,-23,0,-11,-1,11,24,-21,-4,5}

    Returns: {26, 17, 5, 11, 17, 23, 14, 1, 5, 14, 13, 8, 19, 19, 24, 19, 5, 25, 1, 14, 24, 11, 19, 20, 2, 14, 5, 23, 14, 19, 7, 19, 14, 21, 14, 5, 10, 5, 15, 2, 14, 2, 23, 21, 23, 19, 3, 8, 26, 19 }

  48. {12,-18,4,12,-2,-25,20,-10,14,18,-10,3,-24,3,12,-11,-7,-2,-5,18,13,-2,-11,-17,17,9,-11,-9,0,18,24,22,-21,19,18,10,16,2,-25,-24,25,-4,-14,10}

    {10,-8,-8,18,-20,-9,-24,22,10,-2,18,11,-3,0,-24,25,16,4,21,15,-19,10,14,-18,10,9,3,-10,25,17,-12,-1,3,0,0,20,1,-21,7,18,18,10,5,9,11,17,14,-1,-17,-4}

    Returns: {21, 22, 22, 10, 8, 22, 5, 4, 21, 23, 10, 21, 24, 22, 5, 1, 15, 20, 4, 16, 8, 21, 16, 9, 21, 20, 21, 20, 1, 13, 14, 22, 21, 22, 22, 5, 22, 7, 20, 10, 10, 21, 20, 20, 21, 13, 16, 22, 11, 24 }

  49. {-13,-25,3,-14,-15,-24,-8,-24,-19,12,14,9,-24,-3,14,-25,-11,4,7,22,11,-20,23,3,-14,21,18,-16,-2,-25,6,7,-20,-11}

    {21,-24,-14,-22,-14,14,-20,6,9,10,-12,14,14,-23,-20,24,24,16,-3,22,16,-3,9,-14,13,13,7,-24,5,12,7,-9,12,24,7,-15,7,12,21,-1,-24,11,21,3,4,14,-2,18,-24,-7}

    Returns: {5, 9, 19, 12, 19, 8, 14, 12, 10, 10, 19, 8, 8, 12, 14, 0, 0, 6, 16, 3, 6, 16, 10, 19, 10, 10, 11, 9, 12, 10, 11, 18, 10, 0, 11, 18, 11, 10, 5, 14, 9, 10, 5, 13, 12, 8, 15, 6, 9, 16 }

  50. {-6,-8,-3,-13,-9,-15,9,17,6,-1,-14,9,4,23,-23,-6,-17,-1,-17,7,20,23,15,3,18,-14,12,16,-21,17,11}

    {-13,-17,18,1,10,13,-6,-1,20,-5,-14,23,23,0,-14,3,18,22,13,-18,-21,11,-4,-22,-3,-13,4,-21,-18,14,6,-1,11,-19,9,-14,19,15,21,5,3,-20,20,3,22,-20,16,-13,24,-14}

    Returns: {15, 6, 5, 9, 11, 12, 15, 10, 4, 13, 12, 2, 2, 9, 12, 10, 5, 4, 12, 4, 3, 12, 13, 2, 12, 15, 12, 3, 4, 12, 13, 10, 12, 4, 12, 12, 4, 12, 4, 13, 10, 4, 4, 10, 4, 4, 11, 15, 0, 12 }

  51. {1000000000,-1000000000,1000000000,-1000000000,1000000000,-1000000000,1000000000,-1000000000,1000000000,-1000000000,1000000000,-1000000000,1000000000,-1000000000,1000000000,-1000000000,1000000000,-1000000000,1000000000,-1000000000,1000000000,-1000000000,1000000000,-1000000000,1000000000,-1000000000,1000000000,-1000000000,1000000000,-1000000000,1000000000,-1000000000,1000000000,-1000000000,1000000000,-1000000000,1000000000,-1000000000,1000000000,-1000000000,1000000000,-1000000000,1000000000,-1000000000,1000000000,-1000000000,1000000000,-1000000000,1000000000,-1000000000}

    {1000000000,-1000000000,-694411128,-470576179,-570803863,-478738713,480609237,-202334050,662740030,613655990,907159509,503407940,300199095,102810726,-329510984,-611974016,-480334174,-352421586,498863174,-844894259,830385910,-58148984,229857277,-481390379,813581625,383729806,-475422608,-24268422,155665910,966240237,-2651188,-197452431,431427954,841800355,899117903,694397358,-903276194,-782269626,26014371,-540737921,-285341110,-492330078,-379775126,-778770122,-433797622,993845264,688532242,-297530523,-514373533,-352289573}

    Returns: {25, 25, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49 }

  52. {4, 5, -9, 10, -3, 7, -9, 9, -6, 6, -5, 4}

    {4,10,0,10,0,-6,-5,7,6,-3,5,9,-5,9,-5,10,-7,10,-4,7,-10,6,4,-1,-10,0,8,9,3,5,-6,4,1,4,5,1,9,10,1,6,4,-3,-9,1,8,-5,1,-4,5,-8}

    Returns: {11, 1, 10, 1, 10, 5, 7, 5, 7, 9, 9, 3, 7, 3, 7, 1, 4, 1, 8, 5, 0, 7, 11, 10, 0, 10, 4, 3, 10, 9, 5, 11, 10, 11, 9, 10, 3, 1, 10, 7, 11, 9, 2, 10, 4, 7, 10, 8, 9, 4 }

  53. {536071368,-97920634,546362708,-659105967,997395840,140358083,832381492,148150738,852421012,-519515678,792376383,-758668975,739869769,89045332,621725590,-846897456,912880309,-440057382,887810056,-716670534,702722304,505322353,873026214,139530516,676344445,-131153667,799708188,536071368}

    {536071368,-873511144,546362708,-758668975,569918554,220927352,-835221058,20823457,-945662635,-817737690,873026214,212782460,792376383,-806324237,912880309,-716670534,-8389853,-482777311,437044618,-942720635,-148909825,963711959,-366746056,-314125538,-713829483,702722304,-290369528,769214171,887810056,350047210,-866449886,602065231,-13723868,-97920634,953646536,194123168,-704363637,-778650752,268257698,358118598,426863409,286645595,19189944,47068943,792376383,-251067063,702722304,-551512165,876093019,626440552}

    Returns: {27, 0, 25, 3, 24, 24, 2, 16, 0, 2, 7, 24, 15, 2, 3, 5, 16, 10, 24, 0, 12, 2, 12, 12, 6, 19, 12, 16, 5, 24, 0, 24, 16, 15, 2, 24, 6, 2, 24, 24, 24, 24, 16, 16, 15, 12, 19, 8, 6, 22 }

  54. {742,981,-266,886,489,889,-691,816,-113,976,513,783,-781,850,657,768,705,778,-761,910,55,891,181,956,292,962,-622,843,664,788,513,742}

    {742,-282,-970,-10,889,181,-991,-113,-899,-686,63,521,-986,728,61,-102,77,508,304,307,55,498,-266,194,804,-870,850,843,181,-719,181,-230,962,889,-602,-198,-886,-288,976,438,181,88,-366,668,-448,133,257,513,889,201}

    Returns: {31, 8, 0, 12, 13, 15, 0, 11, 0, 6, 14, 24, 0, 30, 14, 12, 14, 20, 18, 18, 13, 20, 9, 16, 22, 0, 17, 19, 15, 4, 15, 10, 5, 13, 8, 10, 0, 8, 3, 18, 15, 14, 8, 28, 8, 14, 16, 22, 13, 16 }

  55. {-540462934,-996213454,53282039,-829330400,791750306,-771014576,243714970,-691382040,790231812,-711486908,809699174,-620336085,910094945,-560993675,523423116,-810890447,791094354,-571049670,53562977,-564325317,791036240,-949913166,-381214490,-701565068,-197377369,-792318891,-238273271,-727934480,117733662,-655902602,103100204,-765057744,-278389288,-663982429,-265417678,-687606753,-73404919,-711919560,202779790,-835759949,619392661,-945739585,905838042,-540462934}

    {-540462934,523423116,-701565068,-674674841,576784412,905838042,863361822,77192148,-299689645,-184224686,791750306,-507368881,738786812,-711486908,-523333921,772777415,87916895,-571049670,53282039,73925841,-117489336,-197377369,903243227,905838042,636135555,-734798860,910094945,619392661,819365131,-829330400,-894968681,65266535,9439295,-635769373,-677914073,-43010040,-711919560,-896639527,-701565068,697672827,712751735,-265417678,-630907745,-449691396,-583251482,-81930590,-218551765,886780634,-66694849,-846240589}

    Returns: {43, 17, 25, 30, 16, 3, 4, 26, 40, 32, 7, 42, 14, 23, 42, 14, 26, 37, 29, 26, 32, 33, 4, 3, 14, 18, 1, 15, 4, 9, 6, 26, 30, 34, 30, 30, 21, 6, 25, 14, 14, 37, 34, 42, 36, 32, 34, 4, 30, 6 }

  56. {800399636,-690803977,969808156,-3338896,991433123,-915209811,808395618,251436789,904322598,466913734,814283220,-141077359,945390437,-564814457,951883208,-521099330,809930410,37457656,813231734,-982376089,895489923,-813996146,934629311,415784012,807270610,657100621,849362021,-10211051,963068213,381054121,802193894,204864390,906452786,-394350548,866976035,291483268,878362070,570126622,984652857,-812048230,895543701,-976952992,849891583,43292779,945422369,409444371,977757426,-419368886,803318990,800399636}

    {800399636,66898529,642813243,-49970309,934629311,163049262,895543701,776518596,-343132512,-705487017,-190504957,805113660,-619740270,833339712,-50852483,-871973219,-645106242,-743263284,184898170,-521099330,-102274578,6658893,-792841855,-457952287,968098729,973544935,478442444,-557165668,-813996146,-3338896,-120631665,990637707,784499626,196316688,415784012,118573442,990335689,223409824,-644135433,951883208,-813996146,-528627650,721917420,298711884,830884903,721069961,449825647,-465870693,-315367024,-351176080}

    Returns: {49, 30, 46, 22, 17, 30, 23, 48, 20, 10, 20, 44, 12, 34, 22, 6, 12, 10, 30, 15, 22, 26, 10, 16, 8, 6, 44, 14, 7, 25, 22, 2, 48, 30, 41, 30, 2, 32, 12, 11, 7, 14, 48, 36, 34, 48, 42, 16, 20, 20 }

  57. {-178080289, -771314989, -237251715, -949949900, -437883156, -835236871, -316363230, -929746634, -671700962}

    {-673197622, -437883156, -251072978, 221380900, -771314989, -949949900, -910604034, -671700962, -929746634, -316363230}

    Returns: {8, 6, 3, 0, 7, 1, 4, 8, 3, 4 }

  58. {-178080289, -771314989, -237251715, -949949900, -437883156, -835236871, -316363230, -929746634, -671700962 }

    {-673197622, -437883156, -251072978, 221380900, -771314989, -949949900, -910604034, -671700962, -929746634, -316363230 }

    Returns: {8, 6, 3, 0, 7, 1, 4, 8, 3, 4 }

  59. {0, 0 }

    {-1, 0, 1 }

    Returns: {0, -1, 0 }

  60. {1, 4, 4, 1, 4, -10 }

    {1, 4, 3, -10, 0 }

    Returns: {3, -1, 4, 1, 1 }

  61. {0, 0, 0, 0, 1 }

    {-1, 0, 1 }

    Returns: {0, -1, 1 }

  62. {1, 2, 1 }

    {1 }

    Returns: {2 }

  63. {2, 4, -2, 2 }

    {2 }

    Returns: {3 }

  64. {1, 2, 1, 2, 1 }

    {1 }

    Returns: {3 }

  65. {0, 0, 0, 0 }

    {0, 0, 0, 0 }

    Returns: {-1, -1, -1, -1 }

  66. {0, 0, 1 }

    {0 }

    Returns: {-1 }

  67. {1, 4, 4 }

    {4 }

    Returns: {-1 }

  68. {1, 2, 2 }

    {2 }

    Returns: {-1 }

  69. {1, 4, -1, 2, 1, 1, 2 }

    {-2, -1, 0, 1 }

    Returns: {0, 1, 2, -1 }

  70. {-1, 0, -1, -1, 2, 3, 3, 3, 4, 1, 0 }

    {-2, -3, -1, 0, 1, 2, 3, 4, 5 }

    Returns: {0, 0, -1, 3, 2, 2, -1, 1, 0 }

  71. {0, 1, 1 }

    {1 }

    Returns: {-1 }

  72. {3, 1, 3, 1, 3 }

    {3 }

    Returns: {3 }

  73. {3, 3, 6, -6, 6, -6, 6, -6 }

    {3, 4 }

    Returns: {-1, 6 }

  74. {7, 8, 9, 5, 5 }

    {5 }

    Returns: {-1 }

  75. {2, 1, 1 }

    {1 }

    Returns: {-1 }

  76. {1, 2, 1, 2 }

    {1 }

    Returns: {2 }

  77. {1, 2, 2 }

    {1 }

    Returns: {1 }

  78. {2, 2, 3, 3 }

    {1, 2, 3, 4 }

    Returns: {0, -1, -1, 0 }

  79. {0, 1, 2, 2, 1, 0 }

    {1, 4, 2 }

    Returns: {2, 0, -1 }

  80. {0, 1, 2 }

    {1 }

    Returns: {1 }

  81. {4, 2, 2 }

    {2 }

    Returns: {-1 }

  82. {0, 0, 1, 4, -1, 2 }

    {-1, 0, 1, -2, -1, 0, 1 }

    Returns: {1, -1, 3, 0, 1, -1, 3 }

  83. {0, 0, 1, 0, 1, 0 }

    {0 }

    Returns: {-1 }

  84. {0, 1, 0 }

    {0, 1 }

    Returns: {2, 1 }

  85. {1000, 1000, 1000 }

    {1000 }

    Returns: {-1 }

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