Statistics

Problem Statement

Definition

Class:

OnePointNineNine

Method:

countSubsets

Parameters:

int[], int[], int

Returns:

int

Method signature:

int countSubsets(int[] x, int[] y, int D)

(be sure your method is public)

Constraints

• x and y will contain between 1 and 1000 elements, inclusive.
• x and y will contain the same number of elements.
• Each element of x and y will be between 0 and 1,000,000,000, inclusive.
• D will be between 1 and 1,000,000,000, inclusive.
• No two points are exactly at the same position.
• The points are in a special configuration described in the statement.

Examples

1. {0,0,10,10}

   {0,10,0,10}

   47

   Returns: 5

   At most one of these four points can be red.

2. {0,0,10,10}

   {0,10,0,10}

   4

   Returns: 16

   Any subset of these four points can be red.

3. {0,4,8}

   {0,3,6}

   5

   Returns: 5

   In one of the valid solutions the points (0,0) and (8,6) are both red.

4. {594216696, 590929835, 596680909, 596436847, 596325397, 592561573, 590978648, 589695963, 596392180, 596060106, 589677872, 595974605, 590905637, 589450883, 592124164, 589672511, 596678842, 595005100, 593227814, 595375260, 590775917, 591153710, 591630552, 596622311, 590140438, 596585862, 592811957, 593598190, 596163196, 590096484, 589784989, 593509937, 589411194, 595606507, 589847302, 593154620, 596655948, 592782300, 593611842, 590432538, 589612271, 596682137, 590402232, 589450860, 589389527, 590186898, 596447451, 592604779, 596553244, 594383923, 595115452, 596147811, 595749782, 592545826, 595224712, 589628292, 591617807, 596017404, 590002072, 595678504, 590370850, 592901009, 596668267, 592297865, 590243427, 589713692, 594941280, 592620571, 591937491, 590010948, 594508200, 592887198, 591414271, 589399811, 595769539, 592414663, 595410074, 592990142, 596043403, 595520849, 590252291, 595827716, 590550387, 589389190, 595477024, 595318606, 594800960, 589922103, 593006066, 589978111, 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592634306}

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115402689}

   29798

   Returns: 239959711

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826728350}

   30450

   Returns: 790266326

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330081125}

   34387

   Returns: 860400024

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220650092}

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781667805}

   34777

   Returns: 376516576

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307589746}

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416103130}

   51309

   Returns: 956668837

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534122379}

   15761

   Returns: 183683375

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659979355}

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451271559}

    59579

    Returns: 704541711

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664209419}

    40308

    Returns: 313546751

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221600405}

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177798577}

    12679

    Returns: 289651203

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521186762}

    10541

    Returns: 178723217

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592513640}

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112396101}

    29798

    Returns: 165760317

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435092716}

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263162044}

    10801

    Returns: 611144917

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182535345}

    15153

    Returns: 88454746

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634529674}

    37583

    Returns: 918425755

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624531619}

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218112880}

    56846

    Returns: 183694866

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636369026}

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251151348}

    10125

    Returns: 146950194

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140141041}

    19511

    Returns: 498932055

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868996580}

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464867464}

    10480

    Returns: 947723563

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412941134}

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672266411}

    93175

    Returns: 975890749

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885911633}

    13097

    Returns: 822386763

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159841640}

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652173972}

    25751

    Returns: 75741444

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421460505}

    55667

    Returns: 225842949

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339684988}

    61958

    Returns: 198557054

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417106940}

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583764550}

    26254

    Returns: 262253916

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132648031}

    29308

    Returns: 493019610

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309038516}

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496113782}

    70745

    Returns: 436284372

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588047500}

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231230759}

    13347

    Returns: 361696350

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372549313, 650558137, 651795586, 650228813, 650291229, 651795611, 650260456, 651662700, 652450376, 372526311, 649915465, 651071039, 651795602, 651040413, 651199365, 650614818, 650528993, 650791526, 652351092, 652924712, 674113047, 649813628, 650945531, 650529026, 651398489, 651596474, 650529008, 651332041, 651662760, 652087163, 650007276, 649813639, 652648177, 652648186, 650529033, 190099217, 652185254, 653020088, 652152309, 650039251, 760155223, 650853017, 372526248, 650291222, 651199427, 651398456, 649861636, 652648216, 674200540, 651265638, 674113021, 652770021, 651365257, 651960665, 372505493, 650977351, 652679420, 650007321, 651071037, 652648239, 650529006, 652384309, 651530398, 674200529, 650039277, 652583047, 652152285, 652152307, 652863899, 652988119, 652450371, 674200520, 190099203, 652450400, 652023875, 652384301, 650039269, 651166625, 651071007, 652832618, 652218257, 651199410, 650007298, 651629683, 651071049, 651662709, 652679396, 651894916, 650007355, 650070429, 651265649}

    33365

    Returns: 401021621

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321119185, 320953745, 321118911, 321036573, 401714535, 401346385, 321710903, 322132120, 401862141, 401058349, 401494307, 322332155, 401058367, 400694551, 321822367, 401346396, 321423222, 401788349, 401494381, 321822407, 321574420, 321322648, 401862043, 401862042, 401714524, 320778762, 321119026, 401200282, 321574373, 402525623, 321119037, 321660926, 321937423, 402083815, 401788296, 321574393, 321119114, 321766401, 321119195, 401494399, 402156957, 401272721, 401862101, 401058329, 321822405, 401272739, 321937474, 402230768, 321119059, 321660958, 321880096, 321036653, 321423329, 321526217, 401714336, 402525689, 401862128, 320953879, 402156942, 400768167, 320822731, 401494282, 401494350, 401272740, 322132137, 401058279, 401788295, 321476861, 402525623, 321371508, 321476802, 401272772, 401494410, 320778718, 402230778, 401494281, 400915492, 400915438, 322064544, 321618781, 400915418, 402156955, 321036635, 321937446, 321574475, 321036620, 400768105, 401714382, 320953779, 401861994, 401714378}

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570627226}

    74199

    Returns: 764921609

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556916314}

    39336

    Returns: 667985758

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808776620}

    17823

    Returns: 275597853

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215232221}

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486929275}

    14256

    Returns: 771922102

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389608707}

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133132591}

    80686

    Returns: 833948324

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374550283}

    77090

    Returns: 466240614

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140315332}

    79067

    Returns: 524804948

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125765720}

    13851

    Returns: 674388477

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855906732}

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875293462}

    45383

    Returns: 240815247

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120253456}

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792172762}

    46153

    Returns: 488030986

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192998114}

    61901

    Returns: 635942033

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689588383}

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639799593}

    10277

    Returns: 798356609

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624131991}

    29798

    Returns: 697468278

45. {328833368, 328840583, 328837655, 328834780, 328830167}

    {837167422, 837077518, 837107353, 837137458, 837197478}

    30248

    Returns: 13

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689064471}

    27002

    Returns: 384478758

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532106663}

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110700706}

    62287

    Returns: 700852657

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246382134}

    16734

    Returns: 60531734

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593817738}

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493136780}

    51238

    Returns: 402630400

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285031021}

    36914

    Returns: 780272765

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475762255}

    57226

    Returns: 526402594

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293960171}

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362155867}

    92405

    Returns: 980116512

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155523020}

    77303

    Returns: 818377969

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603491565}

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466316235}

    24132

    Returns: 930192289

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202223633}

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270067015}

    56285

    Returns: 111456134

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610240626}

    54588

    Returns: 568352145

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446347275}

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654819568}

    99770

    Returns: 455693856

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609815198}

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432396793}

    18496

    Returns: 547458639

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286885192}

    82775

    Returns: 358798219

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710580788}

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140615793}

    32277

    Returns: 179410812

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350124139}

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846852922}

    20067

    Returns: 171583619

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412981138}

    13639

    Returns: 613833808

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885625400}

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543031859}

    39783

    Returns: 580034937

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370977757}

    14903

    Returns: 153312376

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415524052}

    27938

    Returns: 906020678

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143472699}

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595910562}

    14335

    Returns: 198712370

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145743025}

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129949044}

    21134

    Returns: 341935229

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655105610}

    81226

    Returns: 14430967

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858199629}

    33790

    Returns: 865551775

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583966775}

    10992

    Returns: 544006273

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644216720}

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879498609}

    20072

    Returns: 490738407

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108319826}

    10839

    Returns: 36658197

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417423750}

    72293

    Returns: 734961225

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247150203}

    61192

    Returns: 912415721

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    12849

    Returns: 703521122

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893649980}

    81208

    Returns: 936641191

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208527176}

    48317

    Returns: 606328491

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734273446}

    54450

    Returns: 405850359

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686739828}

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553507023}

    32396

    Returns: 225387968

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442170057}

    38521

    Returns: 950213637

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340058733}

    23817

    Returns: 339663542

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589094016}

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232770102}

    17041

    Returns: 731313459

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    82870

    Returns: 588118808

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107316873}

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613783271}

    73231

    Returns: 385693135

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296019423}

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296862875}

    31009

    Returns: 221012473

86. {0, 4, 8, 20, 25, 30, 35, 40}

    {0, 3, 6, 20, 20, 20, 20, 20}

    5

    Returns: 65

87. {4637, 7770, 9911, 3887, 310, 8546, 104, 9820, 6710, 4128, 8224, 2492, 8956, 6162, 3392, 9736, 1540, 7744, 3783, 5451, 3756, 6153, 4846, 9852, 2678, 6500, 4117, 3994, 9126, 8950, 4913, 8598, 5692, 3400, 133, 4284, 656, 4742, 8727, 4904, 338, 7144, 7447, 8807, 1985, 6591, 40, 9614, 1839, 2724, 391, 1419, 2404, 9268, 1490, 3121, 654, 1337, 7787, 9269, 9413, 4515, 7787, 8622, 6718, 839, 238, 2490, 253, 1029, 9286, 5226, 180, 6451, 7826, 1707, 5119, 7238, 3393, 8980, 7234, 879, 5481, 703, 3991, 35, 3205, 2697, 9462, 4489, 2074, 7880, 1909, 150, 2378, 1555, 5232, 5959, 8755, 7679}

    {4026, 2791, 3044, 4049, 6759, 6606, 3440, 8858, 6954, 2544, 4778, 2367, 5113, 8588, 3772, 4741, 3693, 5140, 8822, 8853, 9934, 6277, 5097, 285, 1031, 9872, 1012, 5883, 8992, 7257, 8889, 6558, 9997, 3868, 7731, 7508, 3729, 6398, 4102, 2054, 4835, 5707, 4271, 1676, 9487, 6336, 9829, 1058, 9965, 4998, 1042, 6320, 7669, 1893, 6021, 4211, 8496, 7585, 6882, 8410, 5155, 5869, 3376, 7173, 5726, 1574, 8911, 4192, 8324, 963, 8867, 7292, 7127, 4238, 6796, 6225, 4143, 7775, 4312, 965, 5933, 558, 8642, 268, 7208, 5688, 267, 4338, 4023, 7982, 4535, 545, 7228, 1884, 1660, 3241, 6388, 6572, 6515, 5912}

    1

    Returns: 976371285

88. {4637, 7770, 9911, 3887, 310, 8546, 104, 9820, 6710, 4128, 8224, 2492, 8956, 6162, 3392, 9736, 1540, 7744, 3783, 5451, 3756, 6153, 4846, 9852, 2678, 6500, 4117, 3994, 9126, 8950, 4913, 8598, 5692, 3400, 133, 4284, 656, 4742, 8727, 4904, 338, 7144, 7447, 8807, 1985, 6591, 40, 9614, 1839, 2724, 391, 1419, 2404, 9268, 1490, 3121, 654, 1337, 7787, 9269, 9413, 4515, 7787, 8622, 6718, 839, 238, 2490, 253, 1029, 9286, 5226, 180, 6451, 7826, 1707, 5119, 7238, 3393, 8980, 7234, 879, 5481, 703, 3991, 35, 3205, 2697, 9462, 4489, 2074, 7880, 1909, 150, 2378, 1555, 5232, 5959, 8755, 7679 }

    {4026, 2791, 3044, 4049, 6759, 6606, 3440, 8858, 6954, 2544, 4778, 2367, 5113, 8588, 3772, 4741, 3693, 5140, 8822, 8853, 9934, 6277, 5097, 285, 1031, 9872, 1012, 5883, 8992, 7257, 8889, 6558, 9997, 3868, 7731, 7508, 3729, 6398, 4102, 2054, 4835, 5707, 4271, 1676, 9487, 6336, 9829, 1058, 9965, 4998, 1042, 6320, 7669, 1893, 6021, 4211, 8496, 7585, 6882, 8410, 5155, 5869, 3376, 7173, 5726, 1574, 8911, 4192, 8324, 963, 8867, 7292, 7127, 4238, 6796, 6225, 4143, 7775, 4312, 965, 5933, 558, 8642, 268, 7208, 5688, 267, 4338, 4023, 7982, 4535, 545, 7228, 1884, 1660, 3241, 6388, 6572, 6515, 5912 }

    1

    Returns: 976371285

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    3141589

    Returns: 697468278

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}

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}

    2516000

    Returns: 697468278

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25000000, 27000000, 3000000, 1000000, 33000000, 12000000, 18000000, 24000000, 25000000, 7000000, 26000000, 21000000, 13000000, 2000000, 10000000, 8000000, 0, 4000000, 31000000, 7000000, 12000000, 5000000, 24000000, 32000000, 2000000, 32000000, 32000000, 0, 14000000, 23000000, 3000000, 2000000, 15000000, 25000000, 11000000, 11000000, 31000000, 31000000, 23000000, 24000000, 12000000, 1000000, 24000000, 15000000, 10000000, 7000000, 15000000, 16000000, 27000000, 12000000, 33000000, 5000000, 15000000, 2000000, 12000000, 11000000, 8000000, 17000000, 20000000, 7000000, 24000000, 26000000, 12000000, 0, 6000000, 25000000, 6000000, 8000000, 14000000, 19000000, 16000000, 7000000, 31000000, 14000000, 29000000, 9000000, 23000000, 30000000, 10000000, 31000000, 14000000, 26000000, 13000000, 9000000, 27000000, 31000000, 17000000, 31000000, 27000000, 27000000, 0, 32000000, 26000000, 3000000, 30000000, 25000000, 15000000, 12000000, 0, 23000000, 0, 11000000, 25000000, 27000000, 15000000, 25000000, 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12000000, 27000000, 4000000, 11000000, 20000000, 3000000, 22000000, 22000000, 30000000, 21000000, 28000000, 9000000, 28000000, 18000000, 19000000, 15000000, 9000000, 13000000, 21000000, 13000000, 8000000, 22000000, 4000000, 6000000, 10000000, 27000000, 2000000, 1000000, 8000000, 20000000, 9000000, 15000000, 21000000, 9000000, 1000000, 17000000, 32000000, 24000000, 23000000, 16000000, 28000000, 11000000, 20000000, 21000000, 3000000, 17000000, 22000000, 11000000, 0, 28000000, 11000000, 4000000, 20000000, 30000000, 18000000, 5000000, 1000000, 27000000 }

    1000100

    Returns: 776990284

92. {500000000, 503144716, 506289308, 509433652, 512577622, 515721095, 518863946, 522006050, 525147285, 528287524, 531426644, 534564522, 537701032, 540836050, 543969454, 547101118, 550230918, 553358732, 556484435, 559607904, 562729014, 565847644, 568963668, 572076965, 575187410, 578294881, 581399255, 584500409, 587598221, 590692567, 593783326, 596870375, 599953592, 603032855, 606108042, 609179032, 612245704, 615307935, 618365604, 621418592, 624466776, 627510037, 630548254, 633581307, 636609076, 639631441, 642648282, 645659481, 648664918, 651664473, 654658030, 657645468, 660626671, 663601520, 666569897, 669531684, 672486766, 675435025, 678376343, 681310606, 684237697, 687157499, 690069898, 692974779, 695872025, 698761524, 701643160, 704516820, 707382390, 710239756, 713088805, 715929426, 718761504, 721584929, 724399589, 727205372, 730002168, 732789865, 735568354, 738337524, 741097266, 743847471, 746588030, 749318835, 752039777, 754750749, 757451644, 760142355, 762822775, 765492799, 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    3144734

    Returns: 445494875

93. {1000000000, 999990130, 999960522, 999911176, 999842095, 999753280, 999644736, 999516467, 999368478, 999200775, 999013364, 998806253, 998579450, 998332964, 998066805, 997780982, 997475508, 997150395, 996805655, 996441302, 996057351, 995653816, 995230713, 994788059, 994325872, 993844170, 993342972, 992822298, 992282167, 991722602, 991143625, 990545259, 989927526, 989290452, 988634062, 987958381, 987263436, 986549255, 985815866, 985063298, 984291581, 983500744, 982690819, 981861839, 981013836, 980146843, 979260895, 978356026, 977432272, 976489671, 975528258, 974548072, 973549152, 972531538, 971495268, 970440384, 969366929, 968274943, 967164471, 966035556, 964888243, 963722577, 962538603, 961336370, 960115924, 958877313, 957620586, 956345794, 955052985, 953742212, 952413526, 951066980, 949702626, 948320518, 946920712, 945503262, 944068224, 942615656, 941145613, 939658155, 938153340, 936631227, 935091877, 933535351, 931961709, 930371014, 928763328, 927138716, 925497241, 923838968, 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    3141589

    Returns: 697468278

94. {1990, 1992, 3982, 3983, 0, 1 }

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

    2000

    Returns: 11

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    628319

    Returns: 697468278

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    3141589

    Returns: 697468278

97. {1000000000, 996057350, 984291580, 964888242, 938153340, 904508497, 864484313, 818711994, 767913397, 712889645, 654508497, 593690657, 531395259, 468604740, 406309342, 345491502, 287110354, 232086602, 181288005, 135515686, 95491502, 61846659, 35111757, 15708419, 3942649, 0, 3942649, 15708419, 35111757, 61846659, 95491502, 135515686, 181288005, 232086602, 287110354, 345491502, 406309342, 468604740, 531395259, 593690657, 654508497, 712889645, 767913397, 818711994, 864484313, 904508497, 938153340, 964888242, 984291580, 996057350 }

    {500000000, 562666616, 624344943, 684062276, 740876837, 793892626, 842273552, 885256621, 922163962, 952413526, 975528258, 991143625, 999013364, 999013364, 991143625, 975528258, 952413526, 922163962, 885256621, 842273552, 793892626, 740876837, 684062276, 624344943, 562666616, 499999999, 437333383, 375655056, 315937723, 259123162, 206107373, 157726447, 114743378, 77836037, 47586473, 24471741, 8856374, 986635, 986635, 8856374, 24471741, 47586473, 77836037, 114743378, 157726447, 206107373, 259123162, 315937723, 375655056, 437333383 }

    62790521

    Returns: 143752927

98. {0, 99, 100, 199 }

    {0, 0, 0, 0 }

    100

    Returns: 6

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    1000

    Returns: 625271546

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     100

     Returns: 160801

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     3142000

     Returns: 697468278

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5999921, 5999980 }

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4987433, 4993716 }

     6285

     Returns: 697468278

103. {0, 0, 0, 1000, 1000, 1000, 2000, 2000, 2000 }

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

     1001

     Returns: 19

104. {0, 0, 10000, 10000, 20000, 20000 }

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

     10001

     Returns: 11

105. {999999000, 999989130, 999959522, 999910176, 999841094, 999752280, 999643737, 999515468, 999367479, 999199776, 999012366, 998805255, 998578452, 998331967, 998065808, 997779986, 997474513, 997149400, 996804661, 996440309, 996056358, 995652824, 995229722, 994787069, 994324883, 993843182, 993341985, 992821311, 992281182, 991721619, 991142643, 990544277, 989926546, 989289473, 988633084, 987957405, 987262461, 986548282, 985814894, 985062328, 984290611, 983499776, 982689854, 981860875, 981012873, 980145882, 979259935, 978355069, 977431317, 976488717, 975527307, 974547123, 973548205, 972530592, 971494324, 970439443, 969365990, 968274006, 967163536, 966034624, 964887313, 963721649, 962537678, 961335447, 960115003, 958876395, 957619671, 956344881, 955052075, 953741304, 952412621, 951066077, 949701726, 948319621, 946919818, 945502371, 944067336, 942614770, 941144730, 939657275, 938152463, 936630354, 935091007, 933534483, 931960844, 930370152, 928762470, 927137861, 925496389, 923838120, 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     3141590

     Returns: 697468278