Problem Statement
An array A is called positive partitionable if we can divide A into one or more contiguous subarrays such that each element belongs to exactly one of the subarrays and the sum of each subarray is positive.
For example, the array {3,-7,8} is positive partitionable. One valid way of splitting this array is to split it into {3} and {-7,8}. The array {0,1,0,1,2} is also positive partitionable. The array {-1,2,-3,4,-5} and the array {0} are not positively partitionable.
A partition of an array can be described by listing the lengths of the partitions, in order. For example, {3} has length 1 and {-7,8} has length 2, hence the partition of {3,-7,8} into {3} and {-7,8} can be described by the sequence {1,2}. The sequences {2,3}, {2,2,1}, and {4,1} describe different three valid ways of partitioning the sequence {0,1,0,1,2}.
You are given the
Definition
- Class:
- PartitionArray
- Method:
- positiveSum
- Parameters:
- int[]
- Returns:
- int[]
- Method signature:
- int[] positiveSum(int[] a)
- (be sure your method is public)
Constraints
- a will have between 1 and 500 elements, inclusive.
- All elements of a will be between -10^6 and 10^6, inclusive.
Examples
{-1000000}
Returns: {-1 }
{-547836,-574054,-789614,-149878,-539453,-270012,-966746,-831756,-894677,-146209,-464224,-811270,-235061,-575473,-307897,-950572,-723360,-319470,-747139,-173517,-848786,-393184,-766631,-801390,-784365,-192236,-375611,-399653,-492630,-450208,-589498,-716748,-881370,-317001,-636127,-761563,-643597,-548779,-611316,-574763,-862501,-720295,-899636,-917094,-465905,-435369,-923871,-550242,-935506,-962798,-852703,-290158,-634751,-970946,-183880,-25449,-279278,-326390,-610936,-240984,-12895,-602683,-571111,-859157,-948689,-560441,-852161,-171403,-97578,-737618,-520858,-680520,-803894,-947657,-448728,-717779,-919305,-393493,-5244,-408761,-84101,-357817}
Returns: {-1 }
{-274180,-40763,-175731,-943348,-600315,-186306,-785970,-448194,-646680,-223576,-970119,-683937,-895019,-775837,-595258,-170937,-383920,-835365,-623268,-725581,-226649,-147649,-823749,-934296,-614895,-62965,-481838,-385609,-233078,-929752,-537081,-747572,-797233,-856205,-460394,-976175,-110241,-588527,-585465,-28785,-353015,-855918,-912818,-929689,-57358,-213349,-436170,-584909,-51331,-572377,-338536,-717652,-46734,-176116,-284653,-375464,-500338,-334905,-545579,-124120,-523601,-806629,-652606,-508773,-716899,-458957,-99591,-700958,-435693,-773097,-912115,-27464,-207708,-164605,-872972,-853499,-748497,-791842,-831167,-59134,-123097,-602780,-140446,-727330,-235548,-725131,-344323,-266613,-657981,-243156,-621289,-696738,-10683,-366242,-808580,-197374,-253286,-541142,-976417,-614922,-522172,-626152,-132606,-141649,-359954,-392473,-925129,-282073,-408127,-681793,-373470,-109508,-907088,-147092,-1087,-498892,-96246,-631333,-50595,-9513,-938661,-694418,-380548,-731973,-75916,-495052,-969197,-804791,-669770,-160770,-164217,-276528,-730562,-189525,-808880,-196883,-64765,-715011,-43649,-781134,-290089,-640654,-350744,-902180,-968184,-373732,-762578,-712946,-765443,-94739,-788868,-524728,-200610,-603207,-679564,-812280,-977661,-892451,-180012,-949696,-524814,-504624,-697399,-415660,-395962,-898141,-738754,-305479,-407303,-248588,-939237,-439721,-521407,-242753,-766786,-215585,-938349,-732820,-105215,-835064,-742500,-413223,-355634,-366755,-174694,-465744,-139676,-187721,-949097,-835972,-797539,-177671,-397130,-905193,-864179,-203266,-710405,-716456,-999345,-221473,-805145,-409537,-701698,-754550,-620244,-251921,-506750,-954386,-887943,-752080,-321836,-740140,-134277,-38790,-289016,-599564,-568805,-431822,-977893,-595843,-606548,-687865,-136276,-889163,-687412,-308495,-886826,-679778,-568748,-849895,-987250,-974490,-874824,-673688,-558869,-475073,-280573,-541970,-453579,-440773,-339843,-326398,-550302,-462185,-996248,-896980,-685500,-22606,-306134,-232122,-170237,-936764,-601775,-22080,-249553,-238254,-538425,-29825,-515696,-618717,-515491,-2855,-133374,-144646,-620192,-256174,-656067,-273377,-845651,-448155,-868628,-175737,-41632,-646733,-510812,-842703,-257998,-166779,-989492,-715918,-66884,-510930,-800717,-863957,-843537,-176863,-980435,-613453,-382964,-721534,-617046,-346458,-795724,-736901,-248388,-373208,-176374,-145931,-805388,-676235,-248938,-505464,-751194,-934313,-138134,-286326,-888656,-447863,-15551,-394497,-433650,-10061,-848582,-166903,-474445,-401729,-331442,-329069,-801079,-320303,-862804,-495155,-584244,-840043,-221661,-677462,-134604,-964547,-822803,-213180,-889875,-126711,-758627,-931981,-835498,-260429,-365999,-109595,-694901,-372274,-925262,-602140,-408097,-408674,-556492,-120572,-719852,-274433,-336978,-960595,-499229,-744836,-300928,-857618,-89802,-343084,-677977,-739276,-935377,-475589,-881914,-925324,-622647,-189665,-259291,-675992,-228131,-753451,-491667,-736821,-490798,-629928,-906001,-844879,-475736,-278920,-268272,-301715,-568426,-207078,-286939,-266540,-401597,-504829,-131289,-178342,-979063,-891661,-187710,-629175,-554083,-8095,-724820,-724747,-696679,-647459,-214186,-721085,-20629,-103916,0,-647685,-438653,-823075,-800729,-190338,-943975,-102454,-793216,-801642,-6369,-851644,-625812,-290272,-929651,-264619,-847145,-705413,-588380,-594038,-472227,-344722,-331952,-56172,-135690,-191736,-957158,-887956,-28610,-972359,-923050,-544995,-14846,-271032,-852945,-83092,-188932,-205351,-125319,-639905,-684483,-973663,-772923,-24274,-793677,-72345,-195217,-292500,-213334,-533720,-884255,-133074,-837866,-113787,-583192,-878814,-303083,-611000,-65808,-291983,-574993,-318136,-835433,-33932,-930456,-79494,-239385,-294077,-196981,-12172,-54657,-874082,-997627,-714960,-384736,-349705,-323095,-693332,-33870,-249286,-433323,-786737,-125693,-944396,-164439,-82268,-902331,-337582,-160715,-403682,-668143,-333928,-216261,-668277,-840924,-586106}
Returns: {-1 }
{-881865,-935662,-550901,-609553,-448823,-942743,-987321,-12955,-885986,-916196,-133665,-499919,-236221,-779008,-618275,-920018,-513791,-816369,-807351,-976988,-741487,-323921,-845714,-217421,-209689,-800578,-533645,-953720,-840335,-942067,-970365,-849471,-324783,-369023,-842190,-500962,-824513,-73471,-868495,-856666,-1279,-754491,-223739,-753837,-6003,-893381,-855146,-766135,-177589,-736396,-190494,-351616,-208663,-150101,-333487,-726096,-121544,-143264,-133645,-781491,-762545,-26791,-805934,-634028,-309643,-127590,-957711,-215003,-611263,-775706,-616195,-914762,-498291,-425585,-698263,-202044,-502963,-767304,-51331,-625785,-102353,-544204,-342183,-323283,-539804,-31547,-957888,-431770,-831996,-544134,-438107,-315147,-875935,-846437,-843173,-465542,-405290,-8836,-513387,-311556,-346107,-589987,-385364,-169310,-556069,-629578,-85954,-615118,-360563,-115086,-381409,-531309,-528749,-93571,-434848,-255036,-830169,-955084,-809694,-535926,-900041,-138594,-675373,-223921,-358620,-7534,-461689,-942661,-879432,-665391,-292272,-200887,-988874,-550386,-433877,-265694,-907376,-686499,-265465,-266761,-394178,-880108,-545976,-452529,-433604,-87844,-646072,-286296,-195674,-808279,-479120,-400506,-330294,-288502,-622234,-884256,-538791,-614303,-683635,-896232,-262256,-502993,-122605,-505398,-151380,-52959,-94777,-767561,-302305,-288552,-395481,-752493,-382009,-388131,-408706,-824427,-866179,-256463,-444722,-60925,-439169,-770175,-653431,-109582,-48027,-118689,-733196,-959318,-647137,-406637,-532407,-383250,-759207,-206495,-835987,-281799,-474417,-365241,-638515,-994190,-742389,-485914,-356467,-223582,-738633,-961543,-207376,-865833,-678259,-182640,-49519,-784127,-387957,-534468,-538405,-679473,-889858,-817513,-220555,-112070,-918749,-716855,-998783,-894146,-185159,-260773,-333663,-563032,-574446,-670429,-971248,-10406,-891477,-706775,-646131,-959690,-902949,-811322,-311087,-297389,-164971,-306235,-701633,-68701,-92818,-266971,-206187,-62886,-686555,-288060,-200162,-375030,-304004,-237477,-662732,-365789,-34837,-339147,-445776,-342839,-560041,-541394,-49732,-364873,-169734,-149834,-980898,-287037,-942228,-860767,-793737,-239327,-717705,-1000000,-299753,-392776,-949799,-481708,-558359,-622965,-325376,-121129,-812948,-301927,-254429,-382576,-846598,-415257,-288556,-402066,-206711,-798700,-816409,-568399,-552366,-239883,-970999,-358731,-35543,-730713,-145436,-573471,-169144,-443031,-900381,-225286,-135352,-522489,-546434,-871132,-282204,-671349,-776203,-256779,-361061,-319991,-87813,-467570,-604146,-709508,-161417,-911792,-563397,-443427,-1000000,-808763,-93061,-418328,-397512,-551422,-529958,-743605,-236621,-407268,-951605,-71633,-660486,-238556,-997199,-963581,-493807,-984061,-229026,-595376,-355931,-436589,-959652,-20643,-340262,-944770,-969248,-853778,-722079,-620506,-268042,-710798,-778761,-581840,-757023,-693010,-901798,-604323,-733708,-492097,-805987,-343062,-841766,-263466,-378544,-310623,-155123,-940666,-39142,-179618,-34458,-56741,-926204,-2694,-356145,-568555,-255713,-653509,-310936,-110700,-398391,-3716,-648865,-895059,-483796,-141774,-717174,-424002,-129984,-357397,-814046,-173828,-725158,-402496,-579665,-678949,0,-414782,-320200,-773586,-867010,-132763,-369456,-82470,-715240,-147975,-793648,-101057,-572293,-730431,-351090,-750898,-120816,-994973,-541657,-800496,-133729,-842655,-907484,-608422,-438184,-468633,-440832,-923252,-182651,-426975,-758636,-706241,-441118,-377836,-405404,-311753,-3934,-544941,-175264,-510450,-946578,-651123,-30966,-361781,-405347,-871879,-328953,-181142,-147854,-735272,-243464,-109469,-704812,-881660,-509044,-291949,-941383,-981349,-451579,-103611,-483716,-315448,-937929,-572674,-404095,-958964,-241816,-514058,-132207,-337967,-949909,-615931,-585139,-765241,-650096,-555773,-885765,-683888,-179739,-334302,-502979,-938835,-582668,-605042,-786912,-593715,-725453,-458164,-515608,-217653,-415661,-784831,-708452,-732969,-685530,-17692,-728333,-861287,-334374}
Returns: {-1 }
{999997}
Returns: {1 }
{87540,845973,354127,284602,771296,644627,403134,970393,444392,383033,353922,815767,418340,198907,744913,83552,511394,90435,341970,406891,819121,380903,204154,818502,217701,442190,61563,580252,845285,36872,68861,272989,389600,766056,986021,30151,408110,488880,273497,667194,353620,595096,150581,480794,461476,407590,308202,507846,185156,885631,219445,429310,300837,415058,941870,656513,724407,387977,890636,142855,446529,906692,447413,688660,154061,64144,799889,812116,929295,291149,792894,801091,769386,666467,322854,700639,153672,884499,950031,389096,340350,340810,451297,171771,836762,596483,244195,314070,767020,261649,983210,753916,0,236679,997103,634486}
Returns: {96 }
{764542,422601,788499,282513,945970,268154,90451,649605,551639,451228,940165,716228,465456,640030,17982,931523,44391,764138,409319,429746,855146,510496,535025,107986,507866,0,382724,941901,852456,183005,474492,944137,737677,177162,395077,619748,429528,230366,35071,457842,969917,701752,693269,256632,598911,159065,285498,448782,638895,694075,312947,111598,710000,234666,585089,39919,761923,908606,474185,738596,478810,500246,578567,1763,242242,697015,545611,386690,195001,739144,396579,723866,574198,213474,240088,215892,581937,186422,64235,581125,361136,596321,888728,535486,317717,400570,168312,357946,862463,922531,835534,588901,948189,678352,786874,532834,867799,941442,15603,760779,816791,35894,146525,925328,882928,79049,885895,103961,793201,568810,6750,46960,531114,26665,643809,208189,514003,572286,445045,707228,894070,228160,915522,883562,277368,982817,576167,947283,644035,336573,478627,793767,450890,473002,281274,213546,591286,853957,94405,381327,159828,324829,226460,382836,216934,592688,161564,289727,94131,322785,736668,498331,519998,804677,811372,688429,308508,879946,0,87578,74664,822416,810824,34605,170450,653601,245886,508723,726239,605181,798887,957882,851320,153166,388895,579794,329003,340545,381111,617576,905926,491311,782769,572555,248348,778044,128708,839687,681040,337355,660823,235464,78811,0,316465,526107,18877,576056,183250,397787,594981,415920,623755,40958,649862,825713,138467,572549,646705,227177,377235,970416,53051,948452,37964,576196,387450,521702,928110,889705,559877,549709,34526,965482,64037,375032,762460,620228,198757,503734,244547,49350,879752,942513,725953,278658,932595,185110,434960,558759,111018,661625,803558,864873,812978,629502,870056,843520,954514,566786,584202,703157,225213,150286,790135,814906,10497,80468,792872,880327,577267,610150,657706,807257,790432,514150,453592,190850,349333,445245,944199,600207,493783,94138,375651,607498,79392,83218,994729,425261,85941,76147,153800,165676,716568,606617,642638,11711,744694,765821,837361,918056,230103,629303,930324,565813,68115,809930,909972,394106,30130,823459,643553,347644,83132,128758,166867,426793,0,312036,124859,573284,694913,833032,569611,732210,111085,208623,736933,615406,225595,892624,202824,474069,872590,21364,938337,164500,941155,298781,971909,483598,892006,79969,995463,831391,538162,258611,948594,600335,569207,323455,719312,938913,662269,725606,596348,624782,576934,678225,83340,18699,872945,834026,204713,133412,625483,814217,155592,949605,320797,888025,66628,877073,461218,525294,475907,207889,563175,822089,322267,137812,435764,161264,149774,5382,142658,695449,583757,37563,851554,336544,337959,181295,298645,423617,909265,956409,294111,335675,809582,701642,813534,18056,802706,422829,294038,64762,111492,607879,0,252278,982146,238924,112203,177586,634759,465179,221117,689594,662880,663632,444573,17280,210938,101782,649891,288220,778925,124343,615861,625670,806704,786536,174749,222507,295700,273027,690591,794295,151689,439730,87659,593443,419857,288832,37667,935461,779906,499135,452833,8419,456244,880703,23912,314875,706442,449703,855210,523260,673039,860889,361849,28816,248546,48521,590050,361124,100250,922328,405173,474656,400878,769835,618814,90593,586285,382320,908294,122501,92541,128755,345205,546895,733540,638265,200477,800787,342727,61352,421991,2538,231788,41333,357981,64664,933679,713454,609656,678097,873085,91231,645615}
Returns: {493 }
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Returns: {497 }
{0}
Returns: {-1 }
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Returns: {-1 }
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Returns: {-1 }
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Returns: {-1 }
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Returns: {-1 }
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Returns: {-1 }
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Returns: {-1 }
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Returns: {-1 }
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Returns: {-1 }
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Returns: {-1 }
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Returns: {491 }
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Returns: {498 }
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Returns: {487 }
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Returns: {487 }
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Returns: {489 }
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Returns: {495 }
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Returns: {480 }
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Returns: {500 }
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Returns: {488 }
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Returns: {488 }
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Returns: {498 }
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Returns: {482 }
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Returns: {483 }
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Returns: {483 }
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Returns: {499 }
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Returns: {483 }
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Returns: {495 }
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Returns: {483 }
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Returns: {482 }
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Returns: {489 }
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Returns: {486 }
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Returns: {498 }
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Returns: {497 }
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Returns: {490 }
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Returns: {483 }
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Returns: {497 }
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Returns: {498 }
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Returns: {480 }
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Returns: {498 }
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Returns: {492 }
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Returns: {-1 }
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Returns: {-1 }
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Returns: {-1 }
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Returns: {-1 }
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Returns: {-1 }
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Returns: {-1 }
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Returns: {-1 }
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Returns: {-1 }
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Returns: {-1 }
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Returns: {-1 }
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Returns: {486 }
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Returns: {489 }
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Returns: {493 }
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Returns: {493 }
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Returns: {498 }
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Returns: {496 }
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Returns: {481 }
{167981,-485607,713783,744629,764022,-196440,936654,-291224,-476838,75949,945118,867757,-864906,-590049,-383626,-879800,287986,518739,-106985,191308,208124,-657244,273847,-425328,311461,943076,650455,-55980,-229239,-634592,-81358,-648603,614046,-282095,577179,587045,443194,586264,-52127,-521584,60563,928112,-2025,922031,-541823,885570,565315,321108,-872152,-693948,651882,-834438,-283377,-595513,-141694,-143398,128692,16959,616924,561799,646295,-411288,-383620,-479927,128659,781620,283917,798864,627225,652438,346233,547914,965597,150268,896390,-202224,347353,918196,411124,178518,191919,361415,834040,-176469,-116466,-830094,-179541,626738,50003,-816373,188408,-281020,752466,-281534,187000,771189,-291781,309313,-360945,48999,-389534,-884732,734094,-62793,-757470,-166171,-497925,-271175,336053,-869167,-840578,-593807,369939,-580271,611712,-241776,58739,-616815,-651814,277849,92331,269984,757406,733134,-590119,495123,-404042,-271713,-874143,-508058,-891589,-629951,-424267,-242621,-249411,-325122,950779,541436,202320,-465769,187485,41164,339104,-376718,-104957,481433,357599,-144662,-377050,319584,928629,606826,-22318,-696115,38160,-855533,-388963,553334,-46348,-9083,454328,233401,-729064,-393144,-589815,-713327,-460899,-268592,78909,993639,65710,-335650,-786583,-146348,997173,653391,121890,-345073,-505390,-365481,-763882,405793,319125,844253,-33473,699997,680689,634912,520695,797969,355156,188855,308597,-814624,-509402,-224276,-725451,-676327,833487,-233829,-305199,959443,-832750,401641,-60646,-250141,-312321,421711,-249741,408031,-271079,-701351,-124582,-337621,850315,414032,283412,-446138,779431,-643359,-488378,-98417,-843676,857230,114393,748539,570013,-584845,641981,-690877,-352432,601538,-579932,-767014,637268,-70851,-222731,862280,143845,-250214,805743,953799,281349,-243951,351292,441180,529718,743486,143041,355145,-811508,-181197,-426929,-526272,756233,-657547,-702156,690176,-448527,458669,27615,-15392,250247,-847604,-318605,-202907,-290984,-691185,-798855,-500811,-78064,-38007,-27988,-634534,787635,633623,609321,-761143,-620068,178199,-536256,-387471,703390,-340956,-855131,470214,-570225,132564,885610,-427610,-840250,165682,674152,751351,-27134,-200135,581896,-682323,279671,-566355,-225451,-613067,520104,-252096,351630,-283270,-728744,-678785,-362614,106532,-456601,-577354,-868625,360896,-89183,-335463,205535,573872,-475680,-41778,-352756,401200,-162321,216120,621577,907522,-485597,-734136,-621317,725826,991947,-191671,-508746,250688,-438608,-10463,-365481,-418004,282755,349121,337961,562311,-387944,-226158,-763255,430716,-533969,-186710,-735360,-737931,752036,188740,166444,-344097,514633,-654512,696830,84502,-597907,-271167,442436,-389172,967159,762339,-859105,340649,640152,124114,-282489,-207603,716751,636485,682845,298533,-318187,703459,398589,858369,-33362,-517912,765521,376013,-877436,-56124,-602182,132937,967157,-639957,-472917,-751884,-484444,894962,-208268,838949,-844356,908742,42094,546050,-264491,-389863,-265190,110520,979969,-588568,-882606,984259,-397212,438729,253697,-812459,-326330,897732,-875367,-423646,-234569,748076,562922,-469578,-486082,461487,-139800,228357,-58361,-603118,601014,-810954,613304,-629818,741605,106748,-765381,-479563,-741391,-198805,184981,705200,441753,39406,-573494,-559551,118040,-552102,110408,875193,80529,-638955,340179,-278402,975448,490542,-767383,-591739,727866,-522187,-162131,999212,-160007,-272493,-826432,770621,-302307,-776022,175463,433902,-56133,-807591,711138,50088,353015,108833,-365481,-385632,208722,-733397,-75443,577943,634757,890882,-834145,-118546,-345824,-113328,864396,883706,528628,969404,465061,-451849,473081,184146,373174}
Returns: {491 }
{-89213,-566773,-766216,837457,-411401,364373,361402,644032,576808,801758,590388,194884,-684401,861343,-705468,-434241,906968,961717,-613159,-513698,-900000,301514,465554,251620,-388217,864314,-768910,349607,-428498,-456759,569191,279654,141759,673224,372970,-817649,-188571,286137,-56214,-232832,-142232,2806,-570743,-344928,761123,400889,537014,92402,542698,-170587,-139611,-60209,427766,624282,-420389,-895840,-261060,-38196,364766,-260329,478358,139319,-70325,118842,814095,18943,-714466,870615,-615330,-539019,142269,-641336,-632059,-539908,928733,-119671,751426,933792,766195,966403,261186,739496,-453468,-631393,-551197,631896,811908,900242,-278610,-304876,-81529,-503473,-729951,-63513,968943,793071,790757,-216358,-444627,502545,945176,-139292,372899,561539,-330142,930638,764186,-333262,967769,-93300,-633784,547254,-898512,749485,945481,794077,634404,246394,605114,310797,912430,-119885,739603,-136829,287032,475811,-612192,-25970,830515,-309379,-129217,-858949,-873610,42535,-193409,944614,-740696,465014,892563,-651319,444857,127585,847827,-281910,33701,-394495,263862,-144316,-331513,67839,808524,-396128,752545,507044,974861,48302,787169,717316,143854,241064,168687,-614628,116060,-83319,-321370,-453823,193897,-321554,511307,677973,-62322,179840,959931,586327,426421,149490,616876,296593,432467,654769,324836,837349,432224,215420,271639,-10310,740172,-447232,-98655,-96561,-895718,554990,749056,966835,-830015,757870,818326,-763038,-503369,-507451,-686084,368536,800919,-74033,-900000,281467,-439706,-279031,-293387,485382,774397,212765,-539734,-554697,585629,88785,-49564,629034,-409059,-322612,-366236,848192,376009,791362,808811,983418,718157,-766607,-378067,509315,-312295,359282,543512,696751,-411906,-225236,563522,-465813,85589,-900000,-85082,-112104,-894801,-176958,-496501,160857,152699,-488409,-880302,924116,621729,-141439,222753,120153,931115,252482,818114,-867519,-254290,159400,922540,43122,-708148,-702909,812752,648601,-210586,-423312,-472545,636002,-281773,-673729,993428,328516,-49642,817135,-365481,-889975,130550,-401273,264605,-740318,642232,-127727,-486392,-7964,951341,-775883,-155192,-690958,859595,435840,-37493,-588115,170834,-355461,313581,-771979,328869,427616,465428,-737588,194930,-241827,132836,824735,-872859,-208952,924480,19540,277188,-766236,187826,-230206,-285617,662405,383589,-476359,-182230,551061,449331,194765,-40712,1530,391562,-741715,229238,302731,-790359,898612,283196,-137587,90624,-406940,-600079,-145614,-677759,-515316,101046,218833,-547671,-666939,-513228,-698046,742841,-713956,280765,-450792,-386735,-739975,442631,31493,-415668,317572,884152,-61989,-603536,-618308,-302029,924303,-409932,-182885,842541,576413,591643,-734341,400282,-545998,-501418,-619623,-849783,949714,-25305,-36750,532587,785499,528337,556124,-823489,231116,352922,-37453,-467120,-10756,769629,311399,137028,-256405,-237095,-437056,-475165,712756,-49731,-215526,865216,147556,-704676,767846,-344621,-768797,-108558,-897246,767435,867076,188274,-105400,460627,-520875,-360955,541366,-31509,-881982,-473340,-317854,-287979,443369,190277,212934,-505178,-717583,964584,-409395,-126584,496524,-615178,206277,5260,107764,-540798,-419477,-824556,981561,-609920,-336852,281821,206908,-259435,-860588,524909,-498425,287629,-827285,34142,-111581,-256820,-239780,-78859,514806,820079,7210,-365481,145464,757174,781001,-418944,827835,113982,-862608,126377,-758275,299719,735814,524807,949241,168196,-262335,669291,-4094,-858620,756755,423599,457520,967535,-867803,787514,364246,650502,-698997,965012,-656578,-134172}
Returns: {481 }
{-272647,355535,625839,759933,-350569,-491674,-353247,-80332,527254,662971,249521,198690,-260368,666998,649527,-653762,176767,755568,-769839,-283618,85164,712550,-136710,976688,-629452,202161,-236444,231339,-747910,-286837,787371,-511995,-261456,-76952,215008,-20745,-486043,95733,42305,733431,828393,-441107,-230216,888919,358121,941881,-199170,757115,-482942,420274,-140463,-270716,437918,-631822,-776403,984937,465522,457105,-234587,-219935,21430,-47650,-318488,-644746,605536,564378,-292078,294757,-810396,965933,-85186,86554,-495632,167111,786513,-665550,950475,-93438,-192799,649844,994551,467457,-16650,-241392,794972,-665680,447145,718384,-474916,263793,-237959,772636,185024,-530443,-88085,-306962,203662,-252621,990973,709153,496020,678532,727540,-83303,-101359,-275257,312527,924979,140618,921889,868636,-529198,-255010,-849780,796416,-790244,-687491,-196502,-633987,35517,90959,205144,-475739,584288,421810,509471,915761,563060,491886,-503598,-375121,-363784,976546,755328,613301,-638171,-362006,-295350,-663068,99051,772990,454437,-595337,-536703,772406,117812,-262648,-751677,-407760,-245125,-276132,-505164,-298119,89635,-480440,771815,-138318,296480,126174,-585728,753725,101745,-774100,122004,936677,101821,809676,301861,182611,994680,-231191,-280097,-768758,-437715,711315,506841,106666,895417,-342511,790659,902720,-776311,166395,192184,-362901,-753427,820257,694324,171934,528083,-721555,765086,-438834,636210,-733511,-38978,-583761,825373,-411999,363642,-151409,-187201,-333812,645391,173968,886115,583281,-162246,262360,-373790,-604485,173822,879013,17459,-422958,212802,-373583,882008,145613,319326,611404,-375077,174358,-622166,-129846,798270,695398,675039,-249444,469506,-712478,-439582,317310,562751,-295714,399856,718109,648435,961723,-879553,462439,175420,-805078,129816,-792806,-666983,-624070,-724149,-191451,-466823,-66363,-332993,478860,-472498,63595,596268,354766,-672166,296987,-264964,-128017,825987,889471,179576,904030,833859,-520882,-98973,176175,-135220,-27296,-360620,105286,569294,-714890,100482,477419,548715,-579496,125199,444385,-671352,455914,480872,-542135,-786831,63376,270110,-861509,738102,442147,-315714,-314796,514814,669408,213580,732683,-75664,-133824,55002,616548,482477,867265,-366483,49487,-107538,437986,684218,159930,447056,-751063,117059,735638,434228,468539,861362,-663834,-656358,-888483,-151074,-231578,-561291,-159315,-687569,-871121,-499965,-488124,-271062,431858,894426,877817,349391,661947,-533342,440369,326888,360263,767614,-870966,-150483,-498347,-510617,-293653,126300,697924,-819791,675763,118148,425557,413505,-427982,-592467,506631,-396631,134705,980872,596203,-75655,-261159,81923,-317346,-102486,-878540,379776,-666845,-272120,462571,-665025,-316161,-779949,-421737,-27209,738538,-651499,482830,-493100,583016,781251,-853919,-829243,497321,-193712,614605,-796200,-206784,-692066,414343,-510694,371695,552744,219461,-340089,847966,-586157,-842310,-130523,268387,85425,596225,-651037,-285784,531088,117088,78556,493662,-713493,-93423,28154,-89775,234963,741397,-273621,493482,-786721,714402,-607119,-442079,286090,282046,-843321,-835862,124037,962319,507153,-277537,230964,972160,88910,156728,605884,731142,456106,927599,837345,99704,470666,62366,-131840,-362274,60530,676558,-71444,-487587,-485864,280148,-831813,-790807,717859,-900000,492734,-303381,400284,937167,-696918,-845312,787867,-848785,371144,-122276,798698,-757049,-537864,798991,-809567,-375320,677899,-829801,-345511,678582,175623,-789837,773728,-578500,-3570,765288,662482,-644535,931905,964302,652010,593622,203805,728629,-760340,-257499,536480,952948,-363312,-771834,222409,-332149,145843,11579,-167087,-101931,588126,-354742,144233,604590}
Returns: {499 }
{3,-7,8}
Returns: {1, 2 }
The first example from the problem statement.
{0,1,0,1,2}
Returns: {4, 1 }
Remember that you may return the description of any partition of the input sequence into one or more pieces, each with a positive sum. Each valid answer will be accepted.
{-1,2,-3,4,-5}
Returns: {-1 }
{0}
Returns: {-1 }
{1 }
Returns: {1 }
{1, 0 }
Returns: {2 }
{10 }
Returns: {1 }
{-10, 40, -20 }
Returns: {3 }
{3, -7, 8 }
Returns: {1, 2 }
{1, 1, 7, -1, -2, -3 }
Returns: {6 }
{5, -1 }
Returns: {2 }
{6, -2, -2, -3, 4 }
Returns: {5 }
{-4, 10, -4 }
Returns: {3 }
{10, -5, -2 }
Returns: {3 }
{3 }
Returns: {1 }
{100, -10, -20, -50, 1 }
Returns: {5 }
{-1, 2 }
Returns: {2 }
{0, 0, 1 }
Returns: {3 }
{5 }
Returns: {1 }
{0, 1, 0, 1, 2 }
Returns: {4, 1 }
{8, -7 }
Returns: {2 }
{-1, -2, 4 }
Returns: {3 }
{2, -1 }
Returns: {2 }
{1, -1, 1 }
Returns: {3 }
{5, 3, -5 }
Returns: {3 }
{-1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -11, -12, -13, -14, -15, -16, -17, -18, -19, -20, -21, -22, -23, -24, -25, -26, -27, -28, -29, -30, -31, -32, -33, -34, -35, -36, -37, -38, -39, -40, -41, -42, -43, -44, -45, -46, -47, -48, -49, -50, -51, -52, -53, -54, -55, -56, -57, -58, -59, -60, -61, -62, -63, -64, -65, -66, -67, -68, -69, -70, -71, -72, -73, -74, -75, -76, -77, -78, -79, -80, -81, -82, -83, -84, -85, -86, -87, -88, -89, -90, -91, -92, -93, -94, -95, -96, -97, -98, -99, -100, -101, -102, -103, -104, -105, -106, -107, -108, -109, -110, -111, -112, -113, -114, -115, -116, -117, -118, -119, -120, -121, -122, -123, -124, -125, -126, -127, -128, -129, -130, -131, -132, -133, -134, -135, -136, -137, -138, -139, -140, -141, -142, -143, -144, -145, -146, -147, -148, -149, -150, -151, -152, -153, -154, -155, -156, -157, -158, -159, -160, -161, -162, -163, -164, -165, -166, -167, -168, -169, -170, -171, -172, -173, -174, -175, -176, -177, -178, -179, -180, -181, -182, -183, -184, -185, -186, -187, -188, -189, -190, -191, -192, -193, -194, -195, -196, -197, -198, -199, -200, -201, -202, -203, -204, -205, -206, -207, -208, -209, -210, -211, -212, -213, -214, -215, -216, -217, -218, -219, -220, -221, -222, -223, -224, -225, -226, -227, -228, -229, -230, -231, -232, -233, -234, -235, -236, -237, -238, -239, -240, -241, -242, -243, -244, -245, -246, -247, -248, -249, -250, -251, -252, -253, -254, -255, -256, -257, -258, -259, -260, -261, -262, -263, -264, -265, -266, -267, -268, -269, -270, -271, -272, -273, -274, -275, -276, -277, -278, -279, -280, -281, -282, -283, -284, -285, -286, -287, -288, -289, -290, -291, -292, -293, -294, -295, -296, -297, -298, -299, -300, -301, -302, -303, -304, -305, -306, -307, -308, -309, -310, -311, -312, -313, -314, -315, -316, -317, -318, -319, -320, -321, -322, -323, -324, -325, -326, -327, -328, -329, -330, -331, -332, -333, -334, -335, -336, -337, -338, -339, -340, -341, -342, -343, -344, -345, -346, -347, -348, -349, -350, -351, -352, -353, -354, -355, -356, -357, -358, -359, -360, -361, -362, -363, -364, -365, -366, -367, -368, -369, -370, -371, -372, -373, -374, -375, -376, -377, -378, -379, -380, -381, -382, -383, -384, -385, -386, -387, -388, -389, -390, -391, -392, -393, -394, -395, -396, -397, -398, -399, -400, -401, -402, -403, -404, -405, -406, -407, -408, -409, -410, -411, -412, -413, -414, -415, -416, -417, -418, -419, -420, -421, -422, -423, -424, -425, -426, -427, -428, -429, -430, -431, -432, -433, -434, -435, -436, -437, -438, -439, -440, -441, -442, -443, -444, -445, -446, -447, -448, -449, -450, -451, -452, -453, -454, -455, -456, -457, -458, -459, -460, -461, -462, -463, -464, -465, -466, -467, -468, -469, -470, -471, -472, -473, -474, -475, -476, -477, -478, -479, -480, -481, -482, -483, -484, -485, -486, -487, -488, -489, -490, -491, -492, -493, -494, -495, -496, -497, -498, -499, -500 }
Returns: {-1 }
{10, -11 }
Returns: {-1 }
{-1, 5, 7, 9, 11, 15, -45 }
Returns: {7 }
{-3, 2, 2 }
Returns: {3 }
{5, -2 }
Returns: {2 }
{2, -3, 2 }
Returns: {3 }
{-1, 2, -3, 4, -5, 0, 0, 0, -1, 12, 5, 2, 5, 5, 3, 2, 1, 0, 0, 0, 0 }
Returns: {21 }
{4, -1, -2 }
Returns: {3 }