Statistics

Problem Statement for "SingingEasy"

Problem Statement

Alice and Bob are going to sing a song together. For simplicity, we will assign the numbers 1 through 1,000,000 to the pitches that occur in the song (from the lowest to the highest). Both Alice and Bob are able to sing all of these pitches. You are given a int[] pitch containing the pitches of all notes in the song, in order. Each note of the song will be sung by exactly one of our singers.

Changing the pitch of one's voice is exhausting. Given a sequence of pitches to sing, the difficulty for the singer can be computed by summing up the differences between consecutive pitches. For example, the difficulty of the sequence 8, 8, 13, 12 is abs(8-8) + abs(13-8) + abs(12-13) = 0+5+1 = 6.

The total difficulty of singing the song can be computed as the difficulty for Alice plus the difficulty for Bob. Return the smallest possible total difficulty of singing the given song.

Definition

Class:
SingingEasy
Method:
solve
Parameters:
int[]
Returns:
int
Method signature:
int solve(int[] pitch)
(be sure your method is public)

Constraints

  • The number of elements in pitches will be between 1 and 2,000, inclusive.
  • all elements in pitch will be between 1 and 1,000,000, inclusive.

Examples

  1. {1,3,8,12,13}

    Returns: 7

    One optimal solution is to let Alice sing the first two notes and Bob the remaining three. Then, Alice will sing the sequence of pitches {1,3} and Bob will sing {8,12,13}. The difficulty for Alice is abs(3-1) = 2. The difficulty for Bob is abs(12-8) + abs(13-12) = 5. Thus, the total difficulty is 2+5 = 7.

  2. {1,5,6,2,1}

    Returns: 3

    One optimal solution is to let our singers sing in the order Alice-Bob-Bob-Alice-Alice. In this case Alice sings the sequence of pitches {1,2,1} and Bob sings {5,6}. Hence the difficulty for Alice is 2 and the difficulty for Bob is 1.

  3. {5,5,5,5,4,4,4,4}

    Returns: 0

  4. {1000000}

    Returns: 0

  5. {24,13,2,4,54,23,12,53,12,23,42,13,53,12,24,12,11,24,42,52,12,32,42}

    Returns: 188

  6. 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    Returns: 3845

  7. 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    Returns: 0

  8. 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    Returns: 0

  9. 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    Returns: 499499001

  10. 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    Returns: 995798

  11. 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}

    Returns: 0

  12. 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    Returns: 147908582

  13. 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    Returns: 21524944

  14. {78915,108763,356334,56099,181497,544940,115569,199878,345844,528967,498258,499008,308612,497553,512922,246103,192951,463252,251140,526877,414001,118752,373567,222385,474476,82902,133541,210902,522994,204667,95813,204552,537603,155783,560,492144,435438,172787,72909,72036,222568,168613,121960,124167,356944,399146,108468,224832,529314,408082,10608,19083,409021,265539,202120,113322,101325,536477,404935,124059,140509,75606,168490,526054,46895,352448,258942,181062,224528,504850,478308,193412,276241,284416,371448,536951,457752,378733,175075,444951,280514,66829,298261,263723,286572,82801,129305,289482,450284,470945,514757,103225,106920,173974,417352,409002,469656,258033,379602,326290,398880,443927,20024,523440,242347,46635,173647,51341,451870,358850,507758,325908,408831,501052,62717,161043,208011,356018,259344,1968,246345,457348,502759,105280,247382,367015,204614,138873,207412,59575,364865,515792,241299,320860,404911,63211,496388,319881,475388,411546,192717,514493,126875,395063,152136,147352,321085,426313,274927,189025,110466,54687,443192,115253,227807,413389,523896,177204,169350,360845,281269,499353,215743,41553,324107,441478,293770,117307,244410,36888,151868,455895,298297,31106,106308,501458,158274,21069,352272,529295,266070,221525,351930,510594,361986,381391,228214,456081,492272,306200,464175,462279,534935,345477,86400,154369,15005,356281}

    Returns: 16599301

  15. 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    Returns: 149953632

  16. {650388,713662,100848,763860,398512,579379,231677,167762,464881,184458,357367,329514,563778,293481,409129,35786,610303,335181,757735,462588,676633,422998,95817,684476,692993,301820,623496,313021,126517,667914,385208,50251,621587,514514,763579,63087,372839,506109,407559,335284,429481,427703,736898,719127,333533,375401,574162,582205,37785,284141,448395,306690,380345,120223,565288,406137,598720,146015,680579,338461,247412,61900,618832,55686,567463,692289,593828,244970,302400,620746,42391,508098,424079,179338,433129,81846,124613,383778,714221,44428,495579,160134,115442,30431,532969,441642,19543,537428,545629,218337,580362,719190,45733,46286,682523,121685,220445,387550,700996,131685,659705,599726,188709,98621,606691,621586,458864,641008,332331,543626,2413,494414,571690,737963,331365,576303,386955,699860,3787,379619,224240,358680,374365,530912,71032,246867,128325,542754,33557,660402,544451,486073,751208,321170,250041,281281,500720,395736,759177,178914,227499,97550,593991,723281,756458,704305,364101,12185,306657,344079,567334,763169,711817,344484,28778,112207,320151,95982,50075,143678,15154,272821,130041,680409,454285,119863,462402,735743,531259,291403,245668,68657,693694,241808,272042,113434,299937,455535,262547,391087,271799,415564,56926,22005,32342,198229,626938,458728,323161,358966,319299,104939,149928,441825,372211,446157,328196,632881,592126,188747,376557,644540,268213,327421,493711,634265,706636,266366,610544,23261,319288,620971,127562,595419,530765,450218,293261,358155,389274,635623,737974,113941,96307,361703,541802,678173,379397,171514,399078,722857,177367,530564,30172,389164,649043,42556,578660,90771,125167,18070,529853,514303,56534,569267,669141}

    Returns: 28594707

  17. 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    Returns: 197156459

  18. 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    Returns: 190955721

  19. 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    Returns: 31796157

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    Returns: 48176914

  21. 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    Returns: 55656442

  22. {290396,452015,361394,150193,532666,584302,608322,436527,451786,94700}

    Returns: 681053

  23. 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    Returns: 68547713

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    Returns: 21691914

  25. 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    Returns: 83223366

  26. 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,651518,288490,58858,401777,436258,83704,113754,607046,635361,106776,537081,231986,288342,323285,411185,238802,368644,310990,458505,363979,340853,430579,666371,595147,509422,64073,488608,490833,651880,129454,551699,42092,338335,44218,427352,254449,141750,58364,410526,139657,567244,587592,714791,338057,480728,662282,256020,339504,556164,463380,575032,278921,301554,426568,379195,204073,294017,399516,9084,144424,660915,283127,674171,445374,255968,444117,152542}

    Returns: 163225916

  27. 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    Returns: 100863665

  28. 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    Returns: 199494164

  29. {50666,228628,66028,424559,121677,395136,246828,249038,269701,80453,47688,358532,316727,209313,6373,156043,421227,309430,319088,10649,200471,423600,53179,196750,214143,378184,55815,127318,186136,103713,325676,343473,324395,207816,45848,333447,277067,279547,75764,296280,420136,103189,137164,290107,110623,80814,54093,437919,337416,110343,171398,192881,341496,441919,456199,316078,54125,152477,45835,447194,415593,112962,431494,230183,134792,332927,334899,339673,177518,67145,439368,250711,80451,324750,366124,196567,348652,437749,161557,14393,342815,361629,379386,94693,432397,47155,64792,212261,319950,371962,45256,171932,331655,223653,202132,58215,6108,266609,209443,448612,71324,289957,406775,431012,44981,438371,122009,152957,40101,165014,266297,192033,436533,95958,263237,272684,441637,432339,443207,426675,36561,198714,408583,223451,669,11769,258927,444953,112449,40650,99957,293692,217280,75498,243617,424140,402360,161803,103752,373342,346274,184181,159363,88275,315218,166474,241518,59208,41308,281644,386132,328743,312024,136879,25816,127962,106019,260697,390186,140757,403296,375210,288733,48420,135543,102967,72539,298791,51843,405123,237133,37855,232776,39468,50054,174741,357652,428107,128889,89141,364767,85210,412755,159075,99724,17207,312276,415540,46277,253825,304616,342666,30269,447386,87462,185848,426159,142104,81703,209282,269782,289879,218550,367490,283262,253449,119525,283485,437131,17035,95624,76644,23668,184666,386166,166197,260497,55639,430883,49438,143638,139516,261487,368011,119159,107084,269234,167040,149084,405779,452800,293994,306021,432955,346910,337540,223718,245388,364308,449320,101590,87385,411347,168984,84112,452209,53008,294976,65073,422307,112519,194836,127624,430081,307003,387382,411207,86683,147771,217429,75035,131748,318866,248784,215925,306036,101399,247991,7647,234650,26695,123373,325148,177509,157052,33829,292341,27436,173624,306310,157116,183244,2623,363760,82782,141325,328782,66557,447653,362488,27557,4617,329094,385942,230995,154083,200537,285626,395650,61831,158758,94949,20952,186438,255850,206873,525,368788,43548,107230,173078,205656,169572,319023,106127,340072,337804,392588,122392,204537,351512,346214,444043,129476,14502,48623,225312,204649,437407,411825,341584,29277,436045,195230,99437,257650,253986,263782,110106,196935,71538,85509,184042,326395,150016,85958,325319,140796,125465,122092,168188,198564,47369,379541,101549,165241,74410,38125,166159,17408,245540,135750,353719,341209,138522,297968,319263,429450,439273,409514,152693,27319,190184,213597,155795,200009,309882,377121,388355,340971,78082,138607,113145,81788,242609,97111,346350,274778,380215,165906,171277,248788,121974,262627,445010,396902,399254,144335,88216,98351,376054,430133,347389,290195,403694,25998,14875,227585,275147,342073,379711,93332,101710,353512,10192,58339,429240,434850,185830,269232,259341,374514,241074,117520,400632,152852,351589,167243,331600,306368,80389,455542,111467,100011,331178,21385,119766,169634,69707,60492,245208,73077,89435,314688,16296,139318,201922,82631,231216,400166,306948,90871,346346,299989,283802,32850,234884,139961,286007,134409,245424,298623,359035,439240,392907,429925,83831,374966,203351,15242,26663,135772,4532,295241,427766,380487,441894,79541,217888,9581,174319,90867,15577,178971,112258,302758,404331,139165,419873,172852,409023,34383,52503,243926,393411,348573,212042,192313,430035,322630,161159,291628,117946,54756,143691,370125,92999,238424,167637,19251,117909,457121,324583,225525,85807,270256,101621,137803,130480,312242,27623,317195,142589,322057,365913,362266,54425,371474,362144,348471,250272,81213,245606,344860,158826,20596,31021,3076,134243,235653,23649,259102,87520,416128,390692,440043,423449,115280,171942,420649,243498,25599,134278,115864,168986,320876,300160,5606,414783,406399,261403,428583,246992,373782,406318,382897,97188,70643,443358,394802,13800,79560,282748,196468,439460,369731,347575,118744,317412,339447,317379,351134,119118,128678,459257,87573,419836,279532,228839,155785,234216,164247,44737,89566,129360,456227,183893,322038,9631,49978,181776,410993,42624,457425,124921,108298,81030,6653,256279,447612,229970,397564,224305,13230,453456,15348,421853,425153,368114,55890,279485,226081,153585,220739,216421,262073,8740,132432,23222,440249,172084,290952,94608,443516,81854,117535,346308,147198,47829,173059,412043,396821,402603,210033,275070,156144,240888,388546,15881,112065,262684,192663,89062,346125,23704,4843,223566,171864,179728,443156,384001,184410,63148,290628,450707,191210,72592,131523,102399,239413,206526,120030,171226,140358,388769,305126,73287,394369,181453,338042,77843,442868,245005,149499,335334,22949,120428,402044,342659,412873,115371,451216,12850,155424,80820,433135,341414,300047,457,319955,1979,253576,294352,21972,414369,308761,180941,436900,444809,182137,202495,369660,429240,20948,147665,252005,222795,446950,103124,228822,360461,267853,193921,293105}

    Returns: 49039996

  30. 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    Returns: 69770279

  31. 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    Returns: 81996609

  32. 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    Returns: 95003579

  33. 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    Returns: 65605476

  34. 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    Returns: 26970103

  35. 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    Returns: 37071616

  36. 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    Returns: 19401208

  37. 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    Returns: 205829160

  38. 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    Returns: 30652277

  39. 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    Returns: 286518865

  40. 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1,30741,56110,75422,63556,75242,59215,24937,31427,53408,54949,28574,29289,62691,41448,71658,34364,19889,24150,34819,43062,25715,64398,51845,8294,61391,73174,39142,23413,73654,9182,40097,72368,21685,59253,38134,45602,35798,56519,73459,31327,6274,12649,25132,15440,8412,19125,69659,19957,54913,856,59011,65314,65056,22672,12808,32102,19697,98,50896,44603,73924,1443,74555,22405,73235,46730,21398,70127,65846,72744,50713,60768,27836,76352,57605,69277,50053,68919,31395,44754,53599,18705,22729,14063,30134,5206,75028,30672,67797,56704,63481,73848,6847,63385,25027,3156,70301,44762,35642,6212,8920,21465,51142,72246,70380,48677,73133,57299,23244,5994,15694,44660,46437,60589,65936,35849,12427,36620,4036,79113,79186,63620,62524,28620,50832,72579,73405,17373,64672,39352,14962,12682,42541,11852,65774,15086,65928,52949,31456,38243,3791,50914,67738,43192,76005,24225,12625,75115,65395,5885,38154,55228,7114,64744,6376,43642,5035,15134,37595,53552,74905,62663,53166,58061,49714,57896,31814,2030,71912,79149,58544,72926,33429,24963,20736,30378,20683,38720,55049,44789,57120,19811,78778,76287,51760,76356,27064,30221,50254,56347,19473,8025,73557,63006,53796,18326,48695,45615,33509,65705,45786,55145,18146,18729,47972,36917,78693,13492,49675,46582,3901,32391,59154,35700,26503,2190,78964,63553,60755,1108,26520,66468,69877,11697,72419,6671,5112,26646,2034,28510,50715,42500,63642,79020,8161,23228,35965,16991,910,35979,60440,56361,1535,6966,18969,20632,6984,30612,43950,76893,41316,34561,42342,56196,13950,65948,68074,69187,71922,75788,30541,62652,70692,70690,75363,30885,79078,19898,37589,14722,64239,67151,16198,50708,13108,38178,4607,24613,68212,70451,78082,74203,67710,60178,5538,77419,35945,24120,8737,3581,28044,68865,3126,38386,66332}

    Returns: 23530731

  41. 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    Returns: 164048798

  42. {672837,423189,225520,363202,183356,398017,164224,724289,701920,688204,199413,220192,188524,200360,818096,298645,912625,234077,214928,236669,192883,182103,369930,170126,950809,663784,673855,229221,280691,199667,195813,296417,193706,832218,970348,822507,432847,201607,297875,197291,667917,885828,977285,184233,169209,211040,210617,233571,754004,173800,601861,206087,711270,231648,174193,228774,836250,849535,197304,879246,185570,656737,229471,490037,889180,236227,215604,215623,167897,670422,962912,221709,714384,182498,191818,261567,166272,210307,235548,235689,171841,165973,217329,214677,217971,677513,207618,164207,222480,984816,975893,189875,539246,837229,203681,921403,977831,374904,391143,212635,203834,191316,237730,816526,463371,320113,762908,185915,779786,166613,463529,210311,234256,186254,345214,670590,228204,266113,734166,224974,811369,929250,766302,330007,212772,603397,205258,582968,633738,211371,230094,908241,727266,712916,174712,204972,165020,352792,276822,202784,949494,193924,785739,938629,181835,513730,188002,183209,480098,762201,836851,973493,704215,757229,643687,683664,222018,912002,682233,217350,697727,649427,681242,182061,739632,389208,182885,183843,165567,166676,554586,760765,343390,922965,212438,326424,189826,221694,202169,228668,949895,236132,594894,782871,200469,166783,176391,792199,290205,218451,616371,180966,213328,333646,199533,181698,828286,223858,583562,233484,188242,172575,170871,289385,202872,733934,369219,577750,211090,190781,168238,208588,967724,195914,165443,193051,217431,625925,218545,184308,183937,177198,218520,235112,401782,321528,427263,180425,174003,192317,211006,753811,175245,182331,211763,646974,575690,182838,195483,197322,163058,199826,220268,231191,277510,200228,197428,415202,788584,215993,606087,223084,228548,944782,218366,170896,893153,765534,988598,175346,764689,538573,169696,437904,777796,297662,739093,262768,211074,185196,758782,981253,532320,992331,393807,323654,178334,418414,637470,523379,703220,790357,166522,281458,187373,215827,209715,376299,165018,796524,163110,659000,323151,466497,600988,182328,176104,211461,228773,224444,467101,663477,209295,991967,212896,197864,357184,199012,737168,194463,518141,558946,229058,186162,384547,334705,542500,213468,532002,902696,476859,200105,197280,650121,164300,189452,213247,764616,219042,163837,171774,409271,227083,184838,780021,267827,170202,207595,666491,330141,167056,224094,166125,236413,184256,294078,217742,378727,176410,171817,197626,213636,426854,343730,455748,362725,203304,696439,679230,174170,599395,415917,210024,518230,173966,171875,236171,463154,178396,736979,320257,195594,214276,799707,205372,189877,966731,377462,863367,230559,204950,648978,232745,885412,325624,182399,477352,885422,535526,365228,757534,464459,196162,323731,175388,529937,796631,366829,405982,763278,188621,623991,163037,163541,170413,427648,283065,860246,231503,567341,726813,219494,667186,179426,233114,178323,185512,490251,165320,285464,435496,225437,701718,552496,202219,185847,594764,198262,170701,351340,233337,177467,667544,173238,220688,209040,440136,405398,306573,361915,919024,179137,168337,649117,215972,235275,594179,754700,491167,702318,226124,168396,360875,781324,199216,175827,164754,742854,182169,644622,922647,199640,206584,632225,231039,194199,182778,184354,192929,291474,225837,963237,884047,213220,164490,296599,978228,984602,220606,443421,809972,600920,222382,949772,934618,366211,661435,630159,518485,604736,196495,213584,180491,202192,390465,195279,175636,207495,167709,178014,231109,221438,473679,175342,396845,206237,210568,235941,178546,936272,190021,190776,167488,448476,230641,225190,694277,185821,192880,163138,487956,755769,876686,179439,682113,196395,205944,300270,170046,231934,235370,603991,235107,232557,232250,184093,279754,447451,176528,935720,432747,232983,168109,218835,513157,653343,163410,274487,191313,176625,187578,174315,266110,701242,165729,418957,884621,692016,236517,193459,304126,230479,580555,543866,261771,351865,235576,734771,171941,359082,816751,294649,533933,237509,688255,172003,207335,848398,174293,629960,190809,641171,177790,851267,625607,168567,211723,178772,219682,947405,176630,736756,165286,909458,230982,261926,885157,775961,188792,166105,236706,457640,791443,212563,930551,171900,224395,665383,164361,211062,163741,171515,682415,668397,219276,177178,197739}

    Returns: 59388681

  43. 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9,514398,404036,493044,366544,551776,365958,423550,461260,77713,88800,99484,339263,341617,93878,95453,71038,402364,438170,113874,393470,87517,534033,123932,376457,545799,109426,80041,410961,116991,481375,440295,81446,123659,80778,525934,418426,546145,110642,118680,90478,479239,77869,459533,536046,78579,532900,92406,76589,81925}

    Returns: 77095901

  44. 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    Returns: 132584430

  45. 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    Returns: 203957674

  46. 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    Returns: 85068411

  47. 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    Returns: 40558042

  48. 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    Returns: 72904826

  49. {639990,643859,523874,405437,738290,742226,692679,300464,323239,361081,439469,357664,721611,499304,341285,414864,355605,333630,614517,314855,306734,347897,373764,351806,308867,284551,528733,432514,344874,352916,727236,419737,364060,439971,326063,868163,524692,437271,334550,391609,605277,646654,310224,283357,350184,844982,549079,644260,402688,610715,351542,831840,339522,505815,727437,876268,338101,349610,291775,745430,835532,397202,438651,879524,575821,648010,436598,424791,391990,610509,543404,829059,788954,535666,396123,511754,818949,705547,420362,288384,734105,569053,317467,822194,429619,823516,304706,330472,625397,590484,418084,666417,772833,763733,726819,616840,428137,319383,298509,545610,337279,332753,321065,605111,861923,424907,398620,362867,362693,568308,862094,857885,289603,346747,354897,422363,417551,605786,338080,444129,854572,519310,438862,423082,427209,581919,549300,395147,296783,540172,350506,769786,405577,877776,748131,435158,293433,297298,365949,364879,881163,348667,746041,599545,366618,354956,586663,569502,419826,715222,863830,779946,510875,610182,360182,344389,399713,795145,638873,354013,658034,361459,750162,557908,679239,326743,316877,839218,625356,508022,570242,621125,590250,712265,772515,296820,704776,384907,664465,344349,742253,748948,700299,298500,284314,878553,525294,679463,436879,415915,388544,379513,530760,298446,673623,335810,284631,382945,875458,354219,684077,388949,313313,569507,289229,293962,807790,328477,396578,865043,597063,508093,563320,663830,710912,744120,658640,548020,658401,407779,320004,661613,394366,383160,578103,595459,309910,521417,337195,357243,404143,628661,537583,658061,564320,704171,430104,695906,583720,513591,676114,570929,735090,439388,354461,334776,300316,686637,852044,624068,602759,583845,406484,826365,435223,326189,395324,373209,433126,311467,777395,515661,354293,515094,671840,535177,302706,405076,381134,493145,334091,579712,569739,371230,756720,865444,328398,382218,562108,507603,830537,436217,510050,579502,725608,340532,297570,400540,323521,540393,396906,407540,307990,351513,329160,431686,836907,293174,352439,350751,736936,697923,799236,523881,573776,418396,797797,428907,333683,619147,804038,864642,645488,402493,403639,854417,335050,293275,395234,423568,341437,715246,749658,386451,399131,329366,343999,361548,357686,742433,617807,373633,594341,672975,414976,334224,843703,759353,780207,377867,410143,371210,283776,436069,738891,380059,718818,870653,817079,400333,508689,426466,564182,420496,683954,321959,360797,402671,394522,402188,772302,723764,792983,714730,553038,586149,364322,838183,703727,589303,495747,881734,854810,761608,564494,357437,591232,430841,429793,389004,615620,432824,607936,387800,492786,330894,589060,299714,321456,780684,718320,342731,320006,302432,386758,766417,442896,417940,378549,764082,295725,832282,415061,759265,562599,351459,517072,872905,558899,352657,521894,422637,825739,301249,758380,336576,599656,365910,318518,547145,704752,527118,373530,636863,836996,420170,325032,432983,388194,438613,296814,842821,301838,757283,588615,848438,311357,552259,880594,723131,541502,401913,323149,404009,301273,339761,348793,315832,560431,394626,443505,765119,431453,634257,306171,302600,440239,541343,492963,326950,869343,739220,391699,411135,313382,391612,515500,438266,402054,432648,426123,296633,491554,631355,304091,677948,391972,380820,365431,316196,301604,728544,771836,300136,380530,623738,369093,856490,512088,385078,325060,305950,542134,317793,621217,654525,802095,306421,798968,318133,293057,360414,759998,759022,402740,333740,443145,734548,715353,757614,425871,339714,768818,804775,422207,293023,689907,702182,676022,635077,389877,686155,551695,335425,837193,369827,411446,701463,396002,549231,697269,371279,682204,400561,857159,650022,444578,499513,390295,772441,583553,822753,391444,646200,336724,668827,662503,433336,399473,809923,647932,360018,766204,394267,351849,386778,292457,371172,596454,285644,725481,724250,810492,784698,793645,854523,763060,420433,843441,302027,549029,423768,633434,623053,759945,526687,861862,407530,771750,389167,287505,335835,294792,287232,379828,632644,725528,338454,680577,374889,431632,598587,308064,368601,818652,679994,505607,857241,644314,567770,295864,396081,364461,561051,528370,420237,772510,573661,541769,331837,811216,624668,336720,757705,430452,420378,497034,737914,308724,406159,596330}

    Returns: 50666923

  50. 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    Returns: 116205894

  51. 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    Returns: 128919645

  52. {363952,317181,896524,300274,358352,880192,898938,876713,297295,344636,863227,889595,862733,904209,898529,906010,906075,892291,894964,350854,362680,907783,891520,290053,340634,350565,287452,220622,863596,297019,885381,321192,903639,867462,261714,886491,888803,318317,878763,892436,374776,867305,892979,865344,228216,864081,906012,299651,305566,867373,301213,907081,887822,895353,274429,889659,335011,238089,258596,300202,892930,213483,336226,886863,913033,342717,861686,870630,872235,881699,881955,278032,304818,231505,894647,881726,210942,315814,881173,257327,904891,873537,347946,332449,216967,888748,894175,374882,870347,910584,340375,861864,868533,363074,313964,255976,877833,862042,873455,230768,898239,269036,241019,877132,351228,902630,902938,889918,292246,252752,262996,875326,320352,226269,865970,898415,908881,248007,878676,883228,859892,878379,369848,362240,892541,902037,879267,888726,893617,886199,244093,366108,866000,240532,883231,894980,902301,901540,299495,265619,299460,865165,223228,311618,910091,354231,883261,872755,882996,211834,371708,863891,227226,248812,912902,899797,337234,318803,213020,913609,315436,878397,298169,902547,320063,298589,873624,261678,273447,371106,224362,314064,876003,345736,313876,254336,262045,366700,343534,352167,354011,301774,908128,308588,897399,287738,901061,865323,359391,887025,864366,870930,355653,875808,262664,868311,223536,224214,909874,876267,245742,881301,238419,211612,283010,901956,378250,261914,359590,904088,348931,240122,213970,899869,872755,319183,227544,873267,885938}

    Returns: 8175118

  53. {401944,451860,367646,302491,20614,26792,33494,27356,311621,23922,19745,345103,22800,365509,447176,14300,33128,428329,24389,14316,293786,33874,414202,14593,18049,431840,298758,27983,29649,317392,444313,312977,16801,33389,445577,444232,386457,293450,390790,26198,314296,343487,20478,23826,31211,387783,27626,418999,24831,318228,21798,15924,423464,13084,331928,16743,28332,304778,26951,415183,26232,15679,370034,23177,18663,28229,13300,312813,16657,22910,32522,315917,15117,381451,438366,13987,324461,410044,427366,16465,14678,33777,17534,15466,437233,24901,305419,29451,326029,29351,30136,16213,20826,360081,16340,28129,16016,332413,28634,426470,436353,21022,311881,23709,381135,16921,15088,421375,32491,17656,350426,383280,415692,435724,19626,19160,26205,15880,433731,360537,403865,331455,340979,340010,25070,32191,23768,17507,14893,13295,16321,17482,313743,419918,27802,19456,344119,21920,315337,32816,343049,32179,21424,341818,24619,32302,309733,309502,15189,16139,409909,356760,17768,300677,402225,396170,17825,345518,335393,447337,15750,31591,24956,376349,406033,451006,16707,13579,30262,452449,438511,420561,29549,13320,305633,15929,441447,27320,15998,427528,307508,28082,32277,365695,403747,16627,29512,372801,417484,386957,409505,22352,19403,34051,16458,14313,362640,20740,25411,402757,19161,303872,32316,439447,28340,447100,443829,30624,16552,380801,19499,25024,14776,27700,296622,350269,33446,386646,384859,367357,343449,24282,291471,16041,30469}

    Returns: 6557504

  54. 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    Returns: 143146112

  55. 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    Returns: 70756540

  56. 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    Returns: 14801479

  57. 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    Returns: 23126994

  58. {372212,456468,827985,656714,389963,395077,384963,611411,409396,634716,643778,424066,677601,678217,843693,403604,760484,376621,839865,666506,444939,389907,385742,662529,433092,455543,631002,759154,611759,382813,421498,610610,756519,374013,611842,398496,378554,747157,407429,725922,385800,617815,744397,387944,637588,769334,730623,415890,803113,757532,644660,387887,456775,420535,633583,733452,680149,778002,751675,721171,594719,401840,712258,594004,456166,391364,414296,372580,592579,597286,792304,393105,408373,608802,412072,421834,387766,453919,384437,382449,762189,684382,421721,782421,384808,414930,679739,655588,646247,394245,760718,709789,439982,400181,774200,420930,746044,456036,745985,758302,451353,693626,417226,453464,421314,409844,380677,438765,800919,694963,611062,421954,714874,422108,729460,399681,671014,431351,447147,715590,429111,788960,400431,455740,743766,645422,668743,587945,718854,695590,442983,675048,439228,591534,406139,435504,395137,409597,444616,769804,388624,609180,445458,451588,401474,825865,401077,445915,386943,433070,408409,670990,403316,387417,451612,398137,829023,434631,407165,710995,588681,437608,832952,690791,431258,698040,728264,814440,656665,388393,588683,386929,713302,783901,777525,393846,422590,432848,724254,391582,820873,797522,378585,615912,654056,373466,416508,439399,812015,832653,817761,662403,450548,816826,430015,689322,394843,439314,391192,447787,393557,384639,804477,621164,454109,735046,381200,421971,448672,391898,603494,651650,435436,423018,809673,402229,797979,415597,399960,418141,801729,718771,409530,381751,399098,380755,402064,684145,830724,666846,456886,844554,443601,667234,625464,789678,399699,425254,377184,379466,720934,451940,743320,596079,400070,448817,625953,774808,588779,826306,388746,614101,633888,765412,451175,423524,723296,438541,634355,456548,443395,373689,414534,847043,409456,773114,411053,393181,400740,658452,438630,661993,405773,414485,603772,447599,624896,387371,395659,722844,382861,434688,753137,614116,390016,425450,753043,684719,384453,747289,792129,444425,386691,433861,398430,455824,378994,397580,830349,432713,398042,805455,616455,732049,812480,398739,798781,651693,747519,819911,432039,400290,742791,375280,783185,432142,608222,822791,652257,445801,597336,706965,627870,816467,593223,585878,755832,425468,824958,404907,592811,619357,800101,762838,413272,728313,784897,672450,609319,440679,406983,782282,432719,605562,661470,440992,797523,843556,450267,624290,761865,747304,657502,414944,824674,404368,442363,825178,606710,397083,450567,377848,389370,708897,834363,401366,401836,442927,439332,373372,635829,731836,371643,662366,782236,415122,377847,587264,816603,390689,804639,829022,751572,675559,756534,385081,832163,644118,771354,396243,372457,411401,761846,398559,414510,429066,442084,434928,432525,749733,434316,381143,586206,421545,406718,391553,404797,403330,415051,432259,384677,423851,440554,411950,388485,397416,758355,602719,735426,432660,591905,789244,421213,699817,747218,388793,648035,673932,814765,389723,381634,846607,451891,734034,763238,398288,455079,430313,641251,430219,670227,795036,801839,451580,385974,382740,399738,602927,650066,445692,439111,389997,762850,445680,451164,588233,400824,813222,775837,420992,605362,451780,841030,743333,720591,688672,383544,430103,409662,779063,618638,417174,396683,735557,389293,423082,796108,602978,407764,397799,787494,454148,825970,455787,601401,789627,771896,598834,651087,427023,436637,417404,646386,652682,726147,450309,436645,418327,595076,749376,387821,630547,826391,410006,405395,797776,402672,401652,405149,386313,781412,372087,820366,434713,411665,661336,404074,435190,643461,450720,716590,423789,633778,807342,374788,767936,704204,662951,402719,597215,448867,630775,826591,390839,707801,671126,771701,402802,771762,727037,658093,433929,625932,832728,419454,744818,399619,380691,378569,439891,831218,383050,795211,730060,421438,418980,392932,441509,410842,771486,772535,417465,432195,585850,835290,709038,439198,390693,449546,779769,371875,414760,625916,403447,608657,835348,374042,398349,378263,416472,419123,600407,409878,712275,407374,397894,371956,377883,618347,668387,395599,413181,397806,820808,428886,672052,389701,646733,449596,384009,621915,401088,715267,663406,638136,376345,714827,397597,664422,644502,638573,660773,658929,379438,739812,382737,433716,397877,398524,410202,400779,434325,448328,436980,714301,832914,663473,763183,656009,708831,390465,837611,781277,427891,420901,427341,745518,426413,603840,700772,394794,744812,402335,426942,696015,446414,736160,626812,414725,442084,587139,748572,820459,657172,456110,814236,433087,685915,802292,664458,730604,400897,742628,380311,446966,386015,751094,400599,430527,429643,423722,403731,680968,714871,448715,397949,616773,745664,683532,747373,843911,652698,426190,642476,670183,413513,449749,384776,382562,401178,759977,676950,662394,627337,618237,421801,428263,400371,374165,671144,610248,641952,430918,587285,437844,380116,410367,416687,684461,412604,698339,735269,693008,811899,6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    Returns: 45770530

  59. 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    Returns: 130420952

  60. {400440,658158,881033,250027,879514,881987,882106,215139,880680,723943,470926,458345,518571,565197,609113,878978,731457,527760,879590,677418,881923,273016,878896,459778,881914,780089,822659,879036,879475,879619,653911,328531,879891,516318,881138,243789,881055,879334,558049,880126,880065,879467,882174,881927,506916,879896,267109,688212,286875,878777,527161,879401,881513,881402,464292,551796,879139,881598,880107,397825,881777,880193,749891,881417,882066,880359,881593,881179,484683,823397,879230,880654,879031,394111,882204,880845,881419,744142,404282,305298,879263,479645,324819,678713,424381,699761,544391,880990,371494,879606,649861,881193,882175,287260,880011,879205,626090,386982,880782,879926,770737,879350,317460,772607,528133,880967,654779,881203,879538,636992,328762,879591,512699,496429,437803,634651,879830,821234,695171,519936,630198,879848,880030,881716,879033,881225,327231,579444,881842,880303,881970,716679,880977,616827,879892,879290,318269,879728,264716,796218,879512,882026,879851,880062,327746,216784,882042,466664,576374,736514,557132,881066,681131,696223,878977,881289,882250,879907,321507,276943,387954,579313,786267,881867,350815,880764,727004,507831,880013,878991,879233,881346,881759,879200,408035,879442,880254,822067,878801,881886,881720,488694,879048,320966,575029,478244,881640,712058,788427,673333,879281,878865,767310,881519,880547,879982,881372,881613,879790,880578,881811,881857,406259,286187,603780,347744,882166,244300,243327,878883,404267,703990,881550,480381,694694,701961,730799,488818,326770,878807,879176,696106,775490,880188,879011,879612,880140,881176,740479,797900,880868,390058,229020,881165,619925,297545,881860,240777,879489,881157,392624,878823,880512,878796,383216,270998,879234,765321,881622,402859,298082,755554,451010,673578,634857,318537,774565,523326,370166,587022,744852,237159,881617,584011,507869,880604,880656,664243,303304,879296,595447,881723,644663,881914,879940,881190,434213,881647,880250,536922,881819,881500,690444,302575,879373,559435,683502,823405,880908,802556,453543,880213,353271,880555,403434,538752,881772,881490,671282,879204,881279,743162,880638,391190,879541,880912,509533,777405,784295,879260,882250,881614,881255,780451,880511,558917,879524,662638,881802,881935,248518,878980,531725,295341,494697,880527,881699,880950,881928,678209,878837,804898,878962,649642,302471,882039,880639,821100,243518,542394,463736,488064,880910,882134,503560,882250,297312,879701,881736,879114,660257,515550,879008,741175,576541,794984,517427,576977,568070,374171,881332,375563,716049,879593,659144,881354,881421,881118,755550,882254,501182,779301,880682,879558,360369,627132,879353,880520,881152,879348,504736,754285,315900,631314,401064,879840,881728,881074,880083,294841,881939,421034,879267,457335,702944,328986,357520,881361,879616,881317,675469,881102,879133,880760,519398,879126,881077,878893,880778,879345,567273,789269,248719,879835,690416,879320,333032,749474,879579,879812,881700,671786,225511,880098,748610,882068,879669,880927,879046,878754,786669,367106,881852,300157,878801,580932,716879,666763,247083,879525,882176,762152,331123,421986,879536,503819,880065,879389,880554,616632,749959,880057,411800,879769,879910,226495,776775,881458,638487,879054,881079,881194,880225,443052,422020,881762,880590,879793,573621,881569,881096,879840,880120,623444,226685,691768,368183,882104,881225,450967,882040,881682,879763,697777,514534,758934,882109,735232,461061,881896,721943,881417,880188,881816,772719,370419,881136,880116,352089,698712,879293,442065,535512,498438,418871,520084,710406,880187,882031,879921,881941,880946,881393,316817,879381,880961,421413,271214,218248,523232,880423,598459,881177,217419,292738,577977,404283,367340,881053,334520,292969,880342,879910,879197,635142,275212,881278,879664,503591,880061,441646,467509,879617,881914,880103,258650,881545,405256,620778,413013,751457,334388,879273,253952,550899,461268,882174,882051,587486,880660,245046,300893,740994,525996,655134,710150,878766,881875,879274,879924,796978,880235,435023,880910,880576,457732,726492,879414,880422,458136,882023,273420,882049,442436,218361,878940,240045,879059}

    Returns: 49169490

  61. 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    Returns: 172095846

  62. 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    Returns: 169296620

  63. 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    Returns: 115382543

  64. 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    Returns: 119922536

  65. 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    Returns: 80985413

  66. 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    Returns: 220843097

  67. 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    Returns: 153904916

  68. 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    Returns: 245812670

  69. 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    Returns: 49832189

  70. 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    Returns: 162682516

  71. 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    Returns: 149486086

  72. {24, 13, 2, 4, 54, 23, 12, 53, 12, 23, 42, 13, 53, 12, 24, 12, 11, 24, 42, 52, 12, 32, 42 }

    Returns: 188

  73. {1, 2, 6, 56, 9, 9, 5, 6, 2, 5, 3, 6, 5, 6, 2, 1, 4, 5, 88, 99, 66, 33, 2, 3, 5, 1, 2, 3, 5, 8, 6, 2, 5, 4, 23, 6, 9, 3, 43, 5, 6, 7, 8, 9, 2, 1, 2, 3, 4, 5, 6, 7, 8, 9, 2, 1, 3, 5, 6, 9, 44, 5, 8, 48, 6, 3, 2, 1, 2, 2, 2, 3, 5, 6, 9, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 95, 4, 5, 6 }

    Returns: 340

  74. {1, 1, 1, 2 }

    Returns: 0

  75. {1, 2, 6, 56, 9, 9, 5, 6, 2, 5, 3, 6, 5, 6, 2, 1, 4, 5, 88, 99, 66, 33, 2, 3, 5, 1, 2, 3, 5, 8, 6, 2, 5, 4, 23, 6, 9, 3, 43, 5, 6, 7, 8, 9, 2, 1, 2, 3, 4, 5, 6, 7, 8, 9, 2, 1, 3, 5, 6, 9, 44, 5, 8, 48, 6, 3, 2, 1, 2, 2, 2, 3, 5, 6, 9, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 95, 4, 5, 6, 5, 2, 3, 1 }

    Returns: 347

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    Returns: 292605204

  77. {5 }

    Returns: 0

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825999, 464507 }

    Returns: 286318605

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    Returns: 3759

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    Returns: 1998

  81. {24, 13, 2, 4, 54, 23, 12, 53, 12, 23, 42, 13, 53, 12, 24, 12, 11, 24, 42, 52, 12, 32, 42, 2342, 2342, 234, 5567, 5675, 357, 36738, 373737, 225, 346, 3456, 48, 223, 363753, 388, 34563, 3626, 334, 567, 253, 57, 567, 457, 345, 34, 3345, 345, 35, 67, 5678, 345, 354, 567, 2457, 36, 568, 44567, 345, 467, 345, 568, 345, 567, 345, 67, 345567, 345, 567, 345, 457, 456, 345, 567, 345, 567, 345, 567, 345, 567, 345, 567, 456, 345, 45 }

    Returns: 309635

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97252, 855306, 579875, 466495, 62581, 210472, 938384, 180855, 757142, 421395, 587969, 138251, 768224, 757489, 394205, 715745, 592679, 828001, 959310, 179963, 207307, 910741, 763745, 435608, 957364, 376015, 741860, 255547, 613960, 803478, 198802, 263272, 731965, 976924, 616346, 659877, 716373, 126579, 56132, 141249, 607653, 478591, 162701, 199965, 910470, 692491, 192200, 457293, 196755, 844381, 512841, 465635, 1680, 595255, 683532, 318875, 688287, 568990, 248139, 30175, 336582, 854379, 95599, 551434, 382463, 659301, 807985, 561806, 294622, 527486, 655410, 435855, 251730, 476571, 915156, 867352, 954479, 321851, 205673, 236408, 264232, 551485, 75006, 393173, 469701, 926509, 315423, 350598, 616116, 821621, 587709, 189353, 714352, 25355, 956829, 840703, 396389, 309402, 572402, 432690, 310122, 940049, 341070, 567136, 876240, 426486, 300495, 99008, 867649, 741856, 911847, 737857, 49138, 302230, 811762, 621202, 385151, 253327, 54060, 93389, 891044, 409898, 57594, 909629, 957502, 701640, 601348, 759524, 200206, 232405, 850711, 203084, 744951, 904097, 920525, 283922, 998981, 526456, 945883, 5 }

    Returns: 263473381

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