Statistics

Problem Statement for "CircleCity"

Problem Statement

Circle City consists of n buildings on a circle You are given the int[] dist with n elements. The elements of dist are the distances between adjacent buildings, in clockwise order around the circle.

Citizens can travel along the circle in both directions. Their speed is one unit of distance per second. You would now like to help them get around the city faster by building k teleporters. Once you do so, it will be possible to travel between any two teleporters in zero time.

For the purpose of this problem, both buildings and teleporters are considered points. Teleporters can be built anywhere on the circle, possibly at non-integer coordinates. A teleporter may share its location with a building.

For any pair of buildings X and Y, let d(X,Y) be the shortest time a person will need to get from X to Y (or vice versa). The diameter of Circle City is defined to be the maximum of all values d(X,Y). Your task is to minimize the diameter of Circle City. Find an optimal way to place the teleporters and compute and return the corresponding value of the diameter. (It can be shown that the optimal diameter will always be an integer.)

Definition

Class:
CircleCity
Method:
findMin
Parameters:
int[], int
Returns:
int
Method signature:
int findMin(int[] dist, int k)
(be sure your method is public)

Constraints

  • dist will contain between 2 and 2,000 elements, inclusive.
  • Each element of dist will be between 1 and 10^6, inclusive.
  • k will be between 2 and |dist|, inclusive.

Examples

  1. {3,5,4}

    2

    Returns: 3

    Here is a picture of the above scenario: The blue dots are the three buildings. The two red circles show one optimal placement of the two teleporters. One teleporter is exactly at the location of building C, the other is between A and B, and its distance from A is 0.6. For this placement of teleporters we have d(A,B) = 3, d(A,C) = 0.6, and d(B,C) = 2.4. Hence, the current diameter is 3. It can be shown that this is optimal.

  2. {3,5,4}

    3

    Returns: 0

    We can build the three teleporters right at the three buildings.

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

    5

    Returns: 5

  4. {1, 100, 1,1,1, 100, 1, 100, 1,1,1, 100, 1}

    4

    Returns: 3

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

    6

    Returns: 8

  6. { 1000000,1000000,1000000,1000000,1000000,1000000, 1000000,1000000,1000000,1000000,1000000,1000000, 1000000,1000000,1000000,1000000,1000000,1000000, 1000000,1000000,1000000,1000000,1000000,1000000, 1000000,1000000,1000000,1000000,1000000,1000000, 1000000,1000000,1000000,1000000,1000000,1000000, 1000000,1000000,1000000,1000000,1000000,1000000, 1000000,1000000,1000000,1000000,1000000,1000000, 1000000,1000000,1000000,1000000,1000000,1000000, 1000000,1000000,1000000,1000000,1000000,1000000, 1000000,1000000,1000000,1000000,1000000,1000000 }

    7

    Returns: 9000000

  7. 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    1718

    Returns: 134749

  8. 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    22

    Returns: 29229412

  9. 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    96

    Returns: 6591163

  10. 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9691,75940}

    415

    Returns: 532075

  11. 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    715

    Returns: 377432

  12. 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    405

    Returns: 1417695

  13. 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    1188

    Returns: 368748

  14. {904088,529737,608052,294574,499071,15372,915446,846531,932225,332481,857303,125552,493670,432672,450599,352791,443872,989185,397620,314997,112196,483456,736150,556521}

    12

    Returns: 619222

  15. 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    16

    Returns: 34214014

  16. {402180,458339,594297,585827,409886,102974,256063,64904,120813,824791,513918,127118,550450,133576,298436,900940,799081,214186,585950,615754,99167,616182,210648,279086,573414,953975,687008,896529,264974,833452,610342,366830,490470,93132,270621,759822,462034,976210,88373,416313,426319,34423,361324,196744,276445,405501,596611,249373,707108,603011,395736,868948,503560,110758,458113,373251,481982,883439,773900,437626,931702,321104,487958,996512,149046,407012,234178,646233,798064,476823,963012,464707,385148,521612,414966,301465,92575,18029,428920,885295,580260,25983,216526,547019,135497,697569,582593,961379,727251,400507,826202,74674,104554,375188,718481,303763,67815,216512,520315,167219,437368,499982,476907,740884,45349,556137,606010,717761,284972,738184,882743,396127,365563,524790,116333,619941,442202,453300,912714,552076,215587,188221,121831,173594,430729,995633,79610,571218,942376,516257,771945,400382,660525,8230,771684,392636,741186,165214,429483,413933,845541,206271,335519,374224,154899,181027,511453,239011,99378,336946,140647,499948,434978,955127,899537,724257,386727,276839,114196,221701,64846,15094,33486,443028,256372,473862,483858,455256,996453,482123,50720,726862,31522,190755,717440,499878,400823,277325,585416,226108,883266,257197,897303,901103,983356,408901,90352,642245,462924,287558,17945,526229,164678,922224,794812,526424,19078,571311,945033,372046,677800,344848,661810,288767,175068,93146,24147,874333,382389,708488,957925,812951,792726,389825,577528,738661,346918,479990,299031,320603,598139,200781,777107,562020,499479,983336,285196,380054,495208,119528,632096,764822,398048,144705,88037,203963,742808,702885,79424,602787,920966,642623,603807,630355,421301,745059,415299,278264,928442,795237,35500,431603,864206,673616,556175,420504,195836,766738,17254,845880,980800,274369,867412,454427,169515,924974,644331,475616,645423,202220,547895,627400,346060,432275,21956,947492,579287,984974,808917,713581,325614,401520,196302,978499,400545,477174,335579,665327,840131,199493,580893,742599,768429,970975,769019,731234,307332,729538,241707,682507,797215,421096,197720,810307,711135,775557,654276,161147,165808,490873,896205,61818,859341,739382,796040,597285,598731,376452,799381,40361,319362,353550,687252,979896,644283,616154,450824,875657,582766,201508,743717,905782,925673,342032,413288,266619,259431,127285,554632,534974,290883,680666,379704,309223,352078,866663,948823,108451,537063,260215,472969,427711,911966,481876,462655,922710,635229,30766,472797,928659,626537,431861,572890,905717,631050,855008,957912,947436,139786,360110,307788,188758,647495,576258,601863,806597,156144,932135,99712,318744,665137,520876,110757,55722,628639,304589,992547,5486,5886,642104,541170,712254,582142,58072,567181,548470,695929,762344,986527,472853,372457,675653,198358,337668,133665,620927,870241,914801,432042,899133,506165,72926,738417,684385,333876,956990,803152,545093,115445,596435,505694,926279,458625,100024,9175,612746,86412,482842,644794,33588,308384,214966,64938,765634,629751,781521,724520,746710,32698,900261,676784,519189,969484,555528,2800,290106,517870,676366,933179,716208,466885,111789,865984,100601,324499,537620,36642,122249,368723,67036,553601,310392,899746,630883,877781,223005,793112,644032,594364,691787,302593,80479,502205,555665,816255,842610,629194,20703,930393,228965,771107,156305,773361,380063,547050,65961,984971,813271,766290,955346,137013,545410,109348,661401,666580,845730,740420,203089,586272,362079,488747,567858,333975,219541,663290,257383,129800,703521,398079,82021,118902,308176,664867,315438,396275,256311,735217,599217,733261,78294,925920,921828,455385,475241,919646,587133,457257,485660,816986,334705,782691,924955,346539,677531,546785,173621,336488,82263,231619,652653,634088,832972,548354,743667,148748,291475,125880,486383,589914,795574,259826,117601,772709,621148,835596,403476,72288,274861,325246,760857,722130,881304,450404,363633,171994,581706,702043,786494,648036,670950,412834,251201,390569,665412,488902,209394,784217,616235,225230,821184,740742,760968,852554,870205,246535,41053,593497,793498,944820,103499,41806,798551,986841,152104,620964,490014,156826,416951,727053,35039,452279,70452,915637,658920,884157,134030,153587,181608,250743,291617,724117,380930,34545,554448,846958,199730,373289,406219,455481,201874,264111,398481,858685,226018,774272,163218,208393,886193,52279,462890,790589,424752,359990,207768,164734,435883,179348,336228,86038,146865,686615,75733,963024,269409,532482,380560,326374,914917,918205,276880,414928,705123,415923,436646,520814,3594,845554,548793,178121,143715,791193,959588,628096,635248,16687,613526,248790,594241,123065,542002,798163,60031,279762,19044,387066,438236,757093,31730,72156,40134,289171,897463,838650,576464,4485,701120,529004,507678,775619,722136,965933,352830,360078,174926,116884,415772,630961,395612,651876,899976,529230,73830,657846,52291}

    308

    Returns: 794812

  17. {189376,580643,763868,335882,690055,795220,823338,212584,662056,386201,652637,863743,419021,286853,146920,841753,921184,721992,101323,730709,752789,462802,234912,424663,613336,436549,26643,389160,232723,13624,607858,598078,15849,322633,429484,69303,524024,628862,802003,310386,108502,152237,692365,529344,625754,697976,354414,165922,184569,126458,468038,155085,301857,998399,467113,347227,677015,697242,647478,678482,33982,952743,463513,9783,125629,968057,145580,34689,46865,287191,400427,293753,460864,130515,492807,127123,207075,173101,448943,347254,30172,643966,471105,520084,845881,183863,907437,5698,42607,115117,282335,328449,807046,649024,960005,21731,357495,84687,987530,823988,270303,237733,543602,990306,792928,178138,205238,527820,151322,853519,937171,363406,379882,327509,307246,808548,128927,172443,936026,198972,237735,21394,599956,255601,600352,406653,724796,538543,996963,790085,229703,347314,115323,125370,812182,558155,944793,382912,800290,183276,89738,215346,640843,887030,319609,344816,941024,300487,849730,312814,735655,738570,429872,949186,313535,842836,306901,288961,503652,748216,523354,693991,795656,603452,815492,620974,48923,662668,582447,818227,830644,709449,12285,730661,615734,275030,471352,545732,180040,968590,690016,622703,523172,250391,110911,13381,568417,147418,5075,404557,704593,736379,606865,90702,958330,700370,570274,520040,215132,903217,507332,547940,443729,719413,233469,778634,320591,807825,615275,279604,125,123729,592821,512529,30953,226474,31736,540525,579786,358986,549460,443457,191831,350551,355639,401458,290247,125722,448357,91318,497109,489945,215919,881257,644412,906371,608163,806661,36080,178600,561769,462660,120539,310468,290812,759032,238336,326752,386794,948706,520368,507560,411665,463220,329720,314400,812838,866823,863703,267359,540968,675444,662595,170518,709272,877619,807699,376662,997418,741499,533730,232568,273530,895396,829163,452571,84608,728905,353074,930815,248664,877435,658121,421548,771144,925082,276701,591999,703708,489069,700963,183836,365197,533577,667215,406887,552625,101579,441426,232768,984292,650393,994881,956229,237624,829955,57697,248511,871098,852429,42778,939663,252624,567533,743932,935758,856012,980084,529249,2087,432653,224557,474461,624918,517314,946029,510927,802042,184948,627692,198956,406322,839668,652214,179625,716624,87561,787513,706854,816974,421764,347106,916361,827467,531229,491006,649315,349400,533873,5209,715811,82323,330305,426122,456989,302093,576092,560899,344463,776773,478519,295392,141873,741115,738071,78592,845756,750594,475363,625658,221555,592374,911001,191288,255487,943324,898874,230937,254102,134100,152632,389513,640761,203545,150594,535455,721895,409073,256126,992703,825776,496424,548493,213878,252682,326107,223493,885044,417711,904039,193635,855779,416126,470351,694433,347816,996011,63017,286368,611362,584139,891902,631321,570261,578339,934029,817819,25483,593281,392306,811153,671012,726487,47657,812476,516993,197498,78432,925211,312110,905519,621176,547635,210440,549491,203287,337241,237647,959429,190773,425502,77155,198985,563281,800916,319053,816597,653746,423715,592758,346193,971484,687374,939079,788328,865203,300089,368114,338745,576404,523606,796488,73744,183795,977347,460773,650369,45810,892477,463490,334320,611019,783623,323912,829603,885145,995160,277963,451347,418621,474528,599833,156821,410050,426774,402478,829588,408624,212545,215028,997850,142530,965987,132162,860430,200518,929544,483851,92469,650303,429385}

    41

    Returns: 5642680

  18. 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    6

    Returns: 129867105

  19. 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    967

    Returns: 486

  20. 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    43

    Returns: 1726548

  21. 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    15

    Returns: 64262304

  22. 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    429

    Returns: 1784095

  23. 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    3

    Returns: 319916033

  24. 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    298

    Returns: 1483739

  25. 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    1076

    Returns: 152784

  26. 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    3

    Returns: 183610272

  27. 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    14

    Returns: 61218762

  28. 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    658

    Returns: 1146253

  29. 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    16

    Returns: 57396381

  30. 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    4

    Returns: 197592851

  31. 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    930

    Returns: 218323

  32. 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012,436676,681881,958849,233039,288657,215351,362586,730422,788094,465555,681992,836590,364697,241672,658778,485594,212518,89311,810464,626050}

    3

    Returns: 127232516

  33. 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    1978

    Returns: 1

  34. 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    296

    Returns: 1979260

  35. 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    423

    Returns: 1850162

  36. 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    211

    Returns: 373999

  37. 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    675

    Returns: 212918

  38. 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    5

    Returns: 145770741

  39. 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    1738

    Returns: 144573

  40. 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    384

    Returns: 2197579

  41. 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    17

    Returns: 50297124

  42. 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    157

    Returns: 5469734

  43. 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    335

    Returns: 1907279

  44. 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    3

    Returns: 216615259

  45. 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    121

    Returns: 7154171

  46. 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    709

    Returns: 8117

  47. 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    7

    Returns: 94604784

  48. 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    5

    Returns: 187801680

  49. 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    394

    Returns: 1528360

  50. 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    14

    Returns: 64541619

  51. 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    114

    Returns: 848972

  52. 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    390

    Returns: 1373821

  53. 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    7

    Returns: 115768459

  54. 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    31

    Returns: 19282725

  55. 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    629

    Returns: 1020529

  56. 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8,983617,655756,751639,576312,174793,369695,467984,836074,193201,428163,555068,910566,999850,431021,988121,638429,409819,483176,787836,653586,732160,493220,323733,790211,441228,193003,914032,675994,662774,521118,250009,592710,36492,236904,154283,234869,951249,761460,320141,955215,240085,278293,972984,450116,169105,68603,845149,608366,957722,904847,461832,423733,127288,81104,498508,454519,690951,319893,889197,302732,569655,362481,440139,980921,647540,523359,934848,836510,564517,869424,104262,911475,684690,970570,379582,229447,676278,360744,45675,522864,792101,947170,269273,339509,249188,610337,488965,300831,71930,148446,822884,523646,385259,537444,475197,862386,422657,201347,603965,680756,448353,617494,750606,319726,383916,117466,725172,293003,176495,186801,791823,511647,849294,915279,105333,516270,734428,504408,612169,778229,604147,899908,48604,620523,288449,684345,243553,204577,895465,338705,665234,330874,935546,861603,38485,509400,490797,520921,903474,870118,68889,205080,186768,4204,933299,439762,212165,753530,511680,640804,91365,298888,949909,585092,103536,636705,1411,398693,498001,679516,219690,585075,135732,767208,856557,746153,523015,334056,959380,685045,84621,840844,907734,521781,973993,851855,33166,301865,324399,313289,25349,332457,607730,672644,543723,142076,686525,467905,825788,527117,220027,410841,111546,622103,316522,790492,388147,310467,711875,230952,299608,578810,298176,451766,63574,609945,526548,699825,890372,508681,64657,948346,709212,559188,102137,791567,972189,823900,866096,203037,928812,711306,234059,970879,42121,863628,813159,675174,152014,345225,492069,530613,582206,648747,266130,281826,634362,478398,86305,609312,816208,618347,589055,180627,710045,449152,826908,564532,603876,836259,538462,715027,879436,181961,71730,627717,679755,405886,806200,72735,563422,498918,806679,16404,693559,81638,485916,458142,606586,90699,253221,929557,759159,315241,482716,829499,861259,10284,647575,101788,469207,225199,135529,501637,434470,802733,86132,842270,582425,227695,571710,165008,429835,634288,581625,734101,840597,317217,563415,121826,266408,34082,724589,419916,622291,235177,905275,790093,906530,111744,594636,149526,390341,14813,582904,776287,574709,364175,816076,15352,140129,640661,251770,67503,799552,434773,902422,51455,305680,810861,795963,143810,860792,438401,284302,621932,830629,40596,986386,61624,973437,715362,665313,774455,361058,594935,507904,808873,791071,127682,600350,484748,767266,989364,874986,482721,60337,260957,440940,967772,451478,46284,5362,90658,508640,145080,42108,481399,148543,745768,471233,25713,297088,357086,875311,298366,176639,358837,697565,516587,620724,619439,441976,772283,345022,601559,626995,603481,288054,257012,132159,673474,975854,798239,620882,440396,361923,126053,922866,220437,747130,291983,616034,974704,193759,878422,560575,482707,313749,590922,806647,304740,433225,674367,122468,80892,913750,988370,370975,266232,845297,707141,100926}

    8

    Returns: 114291318

  57. {322653,170636,394738,338207,973668,621895,5670,764245,625451,785458,429319,546563,757419,474159,185145,56164,810378,89609,362188,431705,594111,34356,698222,706174,562267,486245,959449,887832,217775,615,462574,465432,202020,360013,261737,777432,942336,326504,734716,435916,84888,468225,45979,528149,323827,29709,238542,632172,652607,894581,512316,777573,509681,49602,583477,358550,768310,600619,887592,663588,28997,313852,788654,124586,213134,860029,886807,607950,27698,424242,979503,71191,473400,111008,223952,690752,202471,621843,573179,130298,197296,11795,613631,963412,937419,941698,519225,390617,949961,734542,954865,297873,397299,717179,411879,392178,145871,782699,638502,619634,581286,844175,540425,322286,287443,867040,169616,622308,591146,465256,194006,335569,888760,625503,546330,311322,617729,983978,787296,470769,713314,222004}

    23

    Returns: 2210191

  58. {569488,623442,886919,204691,109370,643283,426822,158405,561574,360676,391589,239086,491544,402186,628045,262752,436327,499012}

    18

    Returns: 0

  59. {699007,19139,128088,242568,453427,384463,653999,511196,552077,176898,102889,669189,29937,776472,556492,715126,848997,633357,347226,153582,370971,227954,366359,428656,379695,958016,956900,691288,686453,520498,198410,980256,157130,450474,837142,257044,336991,355520,592534,376420,717074,41133,79799,997375,85587,161243,128458,643209,338351,247630,847898,604879,584274,972987,393605,148328,374968,284645,21513,534383,412079,609416,682931,688888,141516,674754,108814,971104,230724,617406,59676,380011,43272,957963,176234,710983,874473,708171,655917,629431,892390,347611,801641,363342,440523,657336,341834,733252,601599,430259,304422,536035,696356,891579,142596,878017,696806}

    16

    Returns: 2587089

  60. {234522,31773,584244,340016,425623,527461,385961,142757,534516,980183,876586,803973,995898,369853,645715,401358,146981,389071,715767,589929,344631,294977,901009,81699,493952,286537,477460,629945,299156,746669,627328,154807,173497,916118,513253,265135,152310,824809,510434,580911,341648,596418,78868,941248,404747,563206,993266,794850,339520,980710,164778,813019}

    48

    Returns: 142757

  61. {1,53646,3,1,15557,23191,8,132,4,5582,52211,154,2,283,98547,23,136,62089,511,15055,2,127,84,2,289282,4600,13,1,2375,1538,9,10569,5887,250353,29196,1,1,103074,153,562783,6,2718,160396,687,6033,6076,8,95,230005,11,892309,748,172,112268,108198,34170,113,1140,92,14231,2,6732,1,661,248,625,44808}

    10

    Returns: 113188

  62. {1505,4,324536,5126,42,1,6618,42,30,1015,291246,24,583,28,127,1,8,181,3355,17426,66580,174128,279833,212617,1046,282835,2132,7502,1331,5236,1232,3,42,27475,19377,2,806764,893840,8,266341,14580,71443,15243,111,490,216484,63211,168,544037,104,208257,13,26,8029,2427,48,26,6466,136,184,45288,134,78,972728,6504,9091,48,9,3,271,139,2839,19834,503,7774,196448,13061,13419,9,2,15193,200724,83,17561,76363,94910,167,2,1258,224,46304,216549,21484,131,246,715639,59,2191,4,113977,58,34041,1074,274,434439,28624,1,166951,3,57681,4,9553,223837,11,8,661,258460,1379,4099,424,51,6,326,536,3,152498,12,864201,1}

    84

    Returns: 168

  63. {731421,225923,446148,412846,368237,97607,842402,93006,23455,283360,69178,710532,585431,435078,92421,908323,990385,858033,575544,264327,391052,658089,406118,626421,778797,364210,868677,314060,585344}

    12

    Returns: 868677

  64. {181878,237,773839,873311,866118,203586,988777,122898,882083,461711,626142,806125,252600,831470,791479,389581,721212,688394,808831,336877,898020,59884,388806,681380,783043,86293,589468,497225,201088,629442,702176,343343,323684,916302,851698,264032,376506,504979,538428,469633,834800,790814,570226,392175,894695,732298}

    7

    Returns: 3086099

  65. {469712,126689,196150,450875,33755,873077,215970,753616,397147,814054,784371,373653,709074,985565,584882,204814,670498,127218,500071,633289,657814,392224,298638,832549,382936,687455,572719,859789,589877,224941,168103,366165,530986,898367,233850,30973,740475,911599,932863,409010,928497,681002,801216,740693,655959,409276,721623,416155,818433,885789,485172,207335,866916,6829,955546,86229,123879,228947,921187,432783,514940,669541,823429,702540,529675,851027,682412,171983,249481,148474,707619,208629,836086,845241,276177,623277,961190,327188,189588,53418,275915,353232,378361,999654,168140,528481,514055,91104,736450,75952,309505,391078,121368,753805,640583,70961,77681,297286,6604,578048,946103,78027,261535,502201,988160,768099,994466,706553,385118,672167,415313,929054,69933,48341,110551,984563,960596,176789,573774,901218,93947,154887,987197,810233,620917,398699,332740,174841,617325,612752,545132,991949,188786,553597,84498,929192,403934,257346,2194,970408,177084,527347,301200,34170,339632,385423,151141,202851,788872,878518,308079,653811,783627,102381,910487,119633,167942,554852,675365,720955,547321,963562,402239,313273,216322,546323,607832}

    10

    Returns: 7810047

  66. {166278,1865,483687,582351,31,3339,1448,1405,1,178,8,37303,115,331982}

    5

    Returns: 6410

  67. {148852,366563,256353,598752,283927,589306,966572,305071,153936,627157,336463,239183,888506,349513,767115,375780,29957,704491,312011,179290,485521,77155,544054,902016,237821,399875,847851,209239,440832,576860,979818,553203,279531,137435,255273,461051,503665,416454,519529,176193,859546,975235,139090,898254,738505,422734,609435,203662,236623,274182,17442,97107,477559,993222,519379,543509,488813,903604,199477,260790,141441,227801,159471,15689,664255}

    7

    Returns: 3613674

  68. {6,2026,8264,1,466,40,365600,255,291,149831,387,612700,94,14110,426228,1406,2360,10,30,967920,20,4,8,288,122,123,19,102,329,487,11001,528,88866,41569,2542,22960,587709,2123,365,39,717,13837,62217,160,12,242808,10,69,14,1216,43128,798,143199,34906,29,9,4,95,408553,3267,2,1125,93,2621,1845,194,327089,4617,1,37471,1541,2394,1244,202,4,367,49098,246,5032,38,13856,126536,571882,360,449,49019,27,33,6368,90348,23,9}

    21

    Returns: 25502

  69. {708405,280199,304644,290040,743157,592990,643777,117541,47105,171331,275482,952514,369802,238655,952425,752010,492404,275097,448250,498095,589694,500496,923101,24814,300603,502017,731804,489208,155452,523037,499171,761288,55992,454348,850421,672957,833417,624369,529398,762128,519876,72015,763268,875854,860623,103984,639591,755035,766771,587693,950147,513360,862754,611704,425612,744372,17916,857437,536172,843134,768264,269110,65378,12734,832284,383260,478021,340905,503801,984880,697537,278349,565221,594086,284436,827866,506107,655445,164453,762195,254880,201456,993621,228506,335533,192366,967175,168768,346616,696425,380185,87775,926338,567829,530029,834374,915479,304023,614305,226497,258926,319692,122505,546885,296977,961714,845746,163930,489171,207453,36082,790840,286255,138247,435405,186391,819990,960575,863655,421806,315858,559299,807042,190833,650330,310563,979223,23909,272216,156330,141830,682301,786700,748195,565482,454437,861030,805050,388406,554160,752438,697320,786989,329423,681694,669903,311073,530007,479837,46633,956556,454105,420924,220971,548788,396168,920310,230814,792520,452194,825743,239714,907630,403693,357737,302467,114554,97821,365978,379948,359371,468750,460155,686235,575666,104101,746436,100459,468820,50327,354945,556519,278058,372204,678893,35671,222602,834149,262680,30199,370480,954841,574080,120772,482013}

    110

    Returns: 536172

  70. {238070,63795,37695,532620,913329,710105,610235,39127,95340,513323,798376,453261,484161,135767,385372,966059,17660,934299,531674,277092,382004,587083,754422,112201,473819,958182,790386,167344,425892,772078,860968,508111,4541,780491,944737,80456,414316,495523,281187,395441,804513,235965,478770,639212,62004,187743,280964,429214,796152,414798,256029,188575,774176,273322,419256,642860,449055,480106,70960,256840,637155,164869,939112,523662,849012,596783,52406,894788,254262,917006,637763,796276,770504,131905,735634,615483,305891,825723,157181,761970,756581,536832,869283,907374,962669,508270,886515,291251,460039,571171,273637,543350,530618,248729,917808,817521,749782,778754,316644,158422,957213,644432,746413,929437,336306,375780,824070,818667,77245,838374,657493,409611,920173,961291,490206,554103,727403,872787,990031,817324,117421}

    21

    Returns: 2707401

  71. {949016,719752,962902,665779,958520,167734,166353,24053,628871,52348,871404,665628,342490,692510,416925,874733,262599,968435,83290,859581,899180,290522,365958,536565,178631,911636,389725,204617,791310,826950,179751,502817,420277,61190,350162,240656,564890,230023,397048,917859,64500,880510,189872,9492,100357,264948,443782,382112,407945,883085,925076,527983,667283,339634,893001,656961,555376,807129,813333,69406,742820,658627,692635,648531,195667,640396,476838,756893,504036,291649,833742,299251,600515,186554,296290,222837,154293,973160,181910,266085,131025,114536,922987,338187,493823,699349,444459,514364,787322,682262,6801,265536,394672,438944,496102,206109,586359,576152,487689,339902,90152,524269,535721,511747,803051,557820,48400,531119,438960,538938,796921,224151,359926,859374,576032,491734,574131,768604,785003,303873,900413,518710,730094,444322,596969,531156,263026,734515,330957,96221,964733,412124,226120,952785,459615,317112,867089,464314,602775,546913,561939,6312,221153}

    3

    Returns: 23028464

  72. {376306,878197,81042,850256,999148,650052,562029,496251,588058,980623,468658,114039,494915,475824,967287,397137,834174,175069,530685,880707,578373,759680,517360,536516,296890,23775,287462,343647,301405,223894,138741,303272,196885,135508,97012,718308,353494,387743,127813,942580,612703,922033,649406,219147,619947,226118,322006,673748,536564,331694,964113,6846,525325,432181,104010,936546,326717,376516,113007,984718,447264,225507,86724,769908,966497,519230,641664,573198,735807,897096,576584,576938,790242,236628,911629,841328,123441,532672,162922,780106,586222,325653,836292,624144,560960,605672,31029,120547,236735,768640,733045,504870,764334,381327,846559,605381,305539,224093,264354,790825,7737,323253,308946,356933,232755,459433,690426,861953,947876,943943,721482,867792,47420,292094,906113,520870,514794,790577,175708,415587,757829,855397,984714,223354,154295,507559,197789,641404,829829,255591,201330,318166,957149,167166,954514,545745,413224,936482,758423,675119,460234,309752,366589,405930,226442,318041,686254,330297,154766,384870,726867,368861,259623,525410,640827,27328,986783,534760,671184,723034,706280,274710,572023,783628,385032,911572,599447,103734,783704,232043,484566,860507,601413,969762}

    141

    Returns: 236628

  73. {764471,766055,399147,425045,537392,264293,493639,432901,793656,169707,373814,821318,963778,787768,458556,692651,825338,857402,442417,896968,263991,330038,643480,785846,342903,106230,285644,191956,69563,272360,507115,724293,374888,107483,778456,587096,726774,889138,586466,779914,488726,317016,694187,716927,603906,194647,22741,15563,435936,861813,217290,447590,630017,754179,257233,820309,671382,381685,49904,861109,412862,963508,807347,15574,219280,934980,147373,437495,533647,550582,282922,348547,608602,847236,367906,376065,866247,303355,53001,439262,850532,631670,571504,247388,18559,277659,223208,497764,680632,360404,953326,417267,243649,989023,833898,377764,538370,115353,646654,934165,418332,342344,439218,783175,6677,397665,880594,821467,936858,303323,477247,693962,684179,624620,227695,966003,617356,565564,91372,327687,712757,92908,726622,44227,968688,717247,313051,203173,433112,37176,915043,177460,415369,661279,766119,122677,890963,662759,57900,257606,328218,292831,302803,139001,166554,281498,106197,134745,958388,688167,231584,823919,750124,929557,171487,108006,622431,308672,47084,404348,435985,96136,551192,411138,736062,973977,822116,582665,457878,441993,589921,634167,544264,608106,672067,107569,838257,636680,911953}

    8

    Returns: 10616141

  74. {411895,174151,693400,810021,845325,657061,170038,94930,883800,332276,430384,825565,273340,621014,833368,256582,587707,776037,937705,805612,459523,995432,402429,168174,501429,497088,178434,971433,262040,331520,344094,866008,585874,774096,103030,784138,302080,982524,658439,202844,253730,231375,905891,642362,297567,442669,145320,302938,53555,920041,302955,697200,864215,163692,475230,370663,635651,394347,959271,319542,975339,946642,318306,512858,316160,5848,445433,4982,521824,256578,35420,485066,805757,888060,351796,751429,663655,57849,685243,521823,919373,354263,439368,194600,914424,17594,351197,661141,333333,681116,956295,36542,150207,175120,42194,223356,706331,500716,498840,552342,984238,424822,671084,354483,730640,273789,45760,210168,198753,410296,864690,794249,929961,566642,44993,689827,175450,677301,609369,278944,270329,104548,681560,834961,515941,183231,985982,239267,900468,824213}

    3

    Returns: 20921835

  75. {703298,588010,397987,449313,95460,628297,383205,747956,564771,667985,952468,912151,811413,525191,329631,462247,626804,569979,954162,42414,896506,169362,596728,124691,81228,240377,484853,594925,935465,117313,655748,716243,333686,26095,379336,193213,465570,76989,901770,318685,334649,836200,948172,475286,448817,217614,393093,584887,826510,647828,258126,451859,958982,200796,728379,329735,166914,672818,192935,455956,868753,374280,409211,745628,638469,751445,767063,312790,572069,819774,285719,996466,405014,789677,415117,608819,26841,196236,932931,194008,524578,306362,229550,188893,653200,570050,55507,10529,679200,406733,369330,260400,872429,673481,268506,431680,531770,748658,112231,733303,321740,282814,851855,403440,870029,318034,273386,674999,30047,657597,326161,377088,947906,79727,962770,8872,89898,232387,947528,6088,684329,820468,904278,835487,610715,2398,469047,498795,629682,750110,789027,5289,988499,294466,766594,380894,860056,677655,385567,821751,777165,864742}

    74

    Returns: 648891

  76. {379645,3853,696648,514503,643492,726626,500072,619005,166169,286802,562957,665503,24330,254537,680932,955679,66049,289913,175307,586260,148503,255871,34817,873924,690551,530534,445512,210692,479941,893465,863870,584209,425838,712949,304776,740504,479621,545163,313894,241185,260337,671139,173045,472736,15968,543734,247543,2472,427599,594324,26081,543872,420841,357766,326560,193447,587313,414186,345405,531922,38730,217444,713219,644471,517111,482681,486270,107882,366845,439120,51119,516936,537845,919346,248825,177980,133733,952583,635501,184552,144970,257004,687612,208105,914098,784930,933225,986280,568702,264780,444573,671840,127463,504951,862584,917310,235610,77329,140702,813493,518347,881926,493092,574499,354280,9182,611513,167535,465594,262747,75416,922664,97734,683119,21477,525861,718532,421270,561605,698154,105237,351475,142573,294262,407598,883800,25764,516083,276155,539284,332133,429531,427098,984619,645343}

    4

    Returns: 14408727

  77. 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    853

    Returns: 665158

  78. 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    16

    Returns: 23186177

  79. {907825,484542,751095,106611,248176,741566,765346,38201,824346,32801,296270,449197,553224,156376,947864,654187,175740,957757,626206,215358,397819,921535,100141,103791,195176,372187,461098,59653,154153,757831,770778,608213,592914,558390,760624,84134,735592,333217,178440,318243,396584,303096,265232,348998,472993,647686,889269,635117,40298,391863,64572,766348,999629,353010,937480,596130,34640,126244,837633,52859,101743,495647,658666,625800,799559,976995,659098,667122,741784,421078,755339,203343,492188,736614,516453,907452,711332,827867,364237,247249,911637,784490,932384,595933,620756,209719,144943,267750,812781,327945,336985,24495,182637,173824,659323,587945,211071,732446,84326,88788,995984,373759,561342,184375,510409,304270,257887,785647,288271,45238,366762,947819,536114,138906,659408,499926,322336,382984,822277,415108,805002,898471,625689,756478,425160,247013,143596,272723,614630,631427,567846,363062,845573,936598,642022,182957,783714,997873,377587,119972,897900,20210,509049,733446,125768,513696,95018,522146,98596,459709,778508,560815,987990,676868,482510,129559,252890,517056,735800,949253,437421,89162,399177,531667,698471,181857,293734,454773,926417,936570,120472,81684,163254,107979,104524,355958,519461,441709,997445,826485,944242,297563,427449,981956,13348,151496,100205,307898,364538,20677,21726,218526,532764,173359,740083,161186,715515,708916,584124,742892,433316,723290,15075,686485,141193,811219,500845,788210,594006,599000,773048,818982,171838,850185,933204,488412,431225,441467,637277,173625,863835,167175,506648,104216,216249,898156,988827,90131,752844,94470,122635,681085,528322,51194,50310,854082,77288,542780,662904,939903,925302,723777,465558,519893,979191,242375,605681,451177,163952,528099,19737,11422,639410,126125,823332,393509,551867,768069,394428,426017,554278,592723,81014,447151,263094,560115,102223,717768,410700,638384,5840,623410,699465,785347,995348,185758,266735,95290,546095,80685,229675,736354,992857,443083,994680,465068,190040,227916,888143,571931,920922,792429,193707,85583,463824,666235,865672,943008,610753,183985,29067,619317,478044,769588,873962,403059,648682,181475,704909,101638,542481,955121,715986,466287,422933,612090,527723,37211,118543,944098,644269,426844,361618,826093,767468,282858,628946,564147,339107,302389,506490,741896,773383,705128,894167,893606,588745,515253,816977,102368,51544,850875,215197,798749,3554,174492,849037,618182,261170,119118,372126,164683,346238,72121,703356,923950,336732,172452,58092,370683,310097,756789,387431,522958,192884,576321,518130,810758,827380,298200,986061,146259,719247,904402,412434,510230,239763,605545,284780,201925,22082,798407,173595,139092,912977,413231,740764,240220,119885,720559,377311,972946,127619,297192,945738,610489,549928,387052,896128,602291,328186,335054,975427,735535,592778,120756,855725,440939,62341,273450,270068,679283,71835,611447,663289,334350,192475,315746,940518,933478,934911,821858,627495,818668,211561,893482,644499,599240,74879,27827,939641}

    14

    Returns: 14645592

  80. 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    59

    Returns: 13685892

  81. 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    1514

    Returns: 105215

  82. {193738,701662,235454,387082,12396,192370,456364,739749,231539,486538,508841,739662,155666,883481,400042,650657,654629,601418,696974,724657,998162,755278,825887,14758,176322,252731,421725,601486,309975,685484,84238,565627,674441,282177,269418,608408,934596,384683,73255,693470,421164,711402,349364,464911,665648,879137,942869,481853,955272,269397,819989,502344,369524,345472,526095,148048,616312,953411,714585,286057,998466,973005,454727,375292,10229,924153,648710,842345,388624,779513,166452,275235,925977,286057,241278,853465,987612,556202,260421,968850,472659,553408,331356,434020,906107,367674,908287,24101,456710,853097,322714,351973,938003,282673,277769,238637,268669,164793,238153,807597,443678,261371,175752,505808,799060,149308,315639,133617,240880,375011,367961,752258,152921,365939,228276,29842,897778,783647,282248,185418,182510,929572,260157,195567,72701,147801,52509,339129,107712,908323,20110,473012,795107,399785,110271,655725,743695,12498,525388,865099,832298,50497,780981,592825,105329,375660,737309,40834,536430,457451,592026,493123,407905,478572,880911,191584,816328,729834,249511,705467,733695}

    15

    Returns: 4765772

  83. 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    365

    Returns: 1021338

  84. 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    7

    Returns: 100775514

  85. {469238,727289,473517,424469,192660,176288,937405,69805,178014,762810,789501,512062,598116,509293,359889,656583,341159,65047,799223,357592,977319,153965,158795,224262,875345,728007,366750,675731,755662,427691,369894,301855,33905,526008,606045,114811,282416,263630,273632,461235,17143,370976,573250,205404,803498,616644,210141,291021,367118,421902,967096,942519,994103,937409,83987,576329,10196,490986,513205,958417,539494,984237,859474,266427,60656,641011,958078,493116,502238,492124,597258,62328,748617,118468,848541,619575,464153,468587,833070,706345,85578,16968,522431,430627,681257,135785,349319,305641,130848,315468,986314,144661,740002,788484,640360,271812,972153,185848,606000,337107,453066,87379,622208,708522,783688,714368,785650,754735,982996,557314,387476,329237,574911,431532,61245,419824,431970,309929,56332,237073,493352,294898,284213,981203,385968,260261,24228,148801,794715,19358,820975,519223,151632,356839,157217,895033,843565,899423,944212,261673,674097,594793,735613,278629,757870,518048,841618,917674,374066,831520,196783,623342,560686,986515,917932,586595,392422,674427,977860,594750,952263,609923,316019,449000,980653,960294,9147,125489,65859,122803,832798,696679,25371,595776,659000,526834,820532,889394,655771,408782,945202,778585,180967,118644,734202,713110,595971,331090,448339,868878,963970,959714,310266}

    131

    Returns: 397227

  86. {430385,136306,510564,361025,468861,718479,26435,211278,210806,324249,310684,881241,658134,952131,172173,718067,81007,616036,2286,335073,114785,658869,966520,154334,202556,32022,282581,469684,919040,440072,279468,842030,943114,51770,616605,18811,833888,686402,382895,855512,309224,998880,792653,909562,425771,207406,848678,475571,916033,334321,652319,835732,950711,763771,6180,410360,763457,159049,577199,310917,900414,428010,166166,521506,338349,476702,564273,564701,352872,949355,68166,43703,812183,17146,972000,895216,522008,548648,258315,536046,353782,671648,269169,341326,150883,819002,354710,53396,826637,840475,368518,787747,643004,658018,407306,276071,390338,243675,377168,866363,76256,407342,809393,586110,775647,995848,845895,267032,494005,625333,467674,328435,252752,995666,849270,321153,117882,168636,187980,745152,562222,930937,478714,971285,376795,508432,483655,321300,328207,449990,580470,490090,896697,457151,263642,530315,723405,300161,820555,561890,845637,731424,107298,217497,405331,484158,408702,590115,278629,27067,82972,109757,993417,735101,63326,343917,376866,531861,317376,189927,606479,860997,49562,307249,725821,51922,772779,923916,230076,759449,372377,343667,26750,177443,939064,578990,933298,153369,456814,540155,886144,163578,397662,121455,204507,348485,897391,343247,577646,452258,464409,432039,925571,563413,108672,350726,920982,10723,368361,827231,754119,633088,959067,372181,672422,912543,673572,124877,933340,136322,719868,621711,71306,836910,900902,742306,798874,248279,911571,156044,437174,411992,556857,565272,502312,868648,879501,921369,962022,578116,26509,575983,720837,826289,180779,22138,92217,396577,37520,478516,372550,211141,114663,75154,144608,979839,652305,809875,606999,134166,978292,762187,51357,468918,995361,275004,590441,466119,879855,944434,378025,233728,172797,294003,855389,355911,191241,952076,9446,722169,91093,999855,233944,579368,972172,912237,147915,633738,132129,174930,644469,19141,947870,228610,518224,343446,891494,864554,251124,826574,872282,576033,924078,751822,437133,655920,765797,66289,358895,23312}

    230

    Returns: 267032

  87. 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    419

    Returns: 2020445

  88. 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    409

    Returns: 1355148

  89. {639413,850835,78784,92160,112365,184724,595982,426570,398656,702300,166755,168792,883582,464463,157476,635763,867795,554396,106569,482684,864913,168473,421556,279413,142995,561674,351162,100637,958247,819592,816118,553543,738936,933984,195007,999737,943303,69964,830446,467420,437322,230312,846090,895322,16480,746002,846376,901662,130337,151944,208649,229419,959414,43067,971231,383437,741060,448237,771194,745411,644256,108160,892063,629553,552870,798288,244342,324740,832725,498883,20720,158213,529892,781771,843005,11404,475946,256970,449279,520209,460494,302226,357454,400053,972112,584660,485376,950350,5874,76086,407793,813441,89009,362198,786964,489896,985769,50721,526382,945033,508419,994737,366021,880781,483324,864777,962719,892541,199450,326934,980752,782405,601133,714090,355344,758171,77813,613515,685816,111781,950505,236471,665262,241366,658073,784084,560090,557818,205972,278620,15448,899816,655924,490469,881532,570507,307077,658469,330934,4526,747500,674885,268646,375820,139468,286226,924043,164730,942762,647181,558096,817069,777338,257408,419268,148403,279990,909468,437997,73537,619229,781134,662354,574193,798416,216408,106415,557138,999246,56971,508095,400516,996021,609432,474599,537905,105698,463604,631393,387625,229534,413186,684492,299078,289213,672616,756097,958413,763664,432468,960035,872570,92343,550669,946160,133746,426588,837957,61812,655611,582696,963339,853645,468095,78738,478998,864549,459320,821634,843924,68113,161264,351912,611734,827017,790019,550554,140471,961915,771973,365739,280861,373855,414047,426794,504331,675932,209100,378532,843293,458857,506869,391195,833503,140287,926350,579561,372015,829237,937246,999336,34063,274556,496135,479770,928399,760427,487273,798502,612945,762025,988445,607986,941282,280918,59035,82379,965375,42502,830498,469627,181062,156683,168683,605541,470214,418238,72938,974966,67119,154720,278714,89744,756513,417468,238378,793958,296823,355234,769209,604050,754554,810122,178051,344682,34419,532001,598854,150837,394647,920219,612370,372416,148073,870429,956476,39704,66988,129487,281159,326381,233348,542873,453917,881309,205836,716745,879353,991185,411406,910708,661005,283174,611302,427557,203936,79998,140207,372706,33404,579492,372031,418714,187901,746491,526994,129249,534134,176952,502055,472058,747024,222562,880334,381904,499538,348630,655100,622191,615215,38897,490007,737888,550465,557968,529628,592587,594243,535376,873024,838970,599478,644876,827894,684653,893604,618376,974048,484320,254838,455985,882300,14260,486326,971984,58499,766853,172064,751084,312332,240275,656479,180167,286636,992589,153846,467774,325351,179639,164185,466916,206886,402569,49089,676369,524531,953500,703891,11411,656706,966848,751874,807071,337210,558949,581712,45218,809251,770108,851110,981459,426957,10891,787594,188572,354150,758410,731672,530316,702614,448565,888109,732757,50643,866626,177785,29825,787611,851267,415640,825632,141385,796076,779459,438173,62820,257788,679750,767316,365182,961908,692739,164587,646247,634114,176510,873078,556950,379743,554558,152833,922830,783901,21572,610460,73173,511123,602972,311212,487621,946280,82767,967657,531142,337295,303561,871090,615658,975501,738003,260193,600256,180853,32781,505979,621768,246956,434252,832923,833673,44778,619030,293212,723626,684122,473410,364390,778579,488405,792233,850240,271314,550931,700798,730564,853369,309848,842719,227581,456689,904130,22096,635012,730011,554409,40153,390453,865820,850131,924489,462502,209889,618512,613342,371122,487793}

    391

    Returns: 268646

  90. 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    3

    Returns: 146231269

  91. 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    436

    Returns: 594535

  92. {247743,919262,216565,488737,718315,72316,722246,751292,122658,766473,981821,632945,635063,894072,89804,685834,179423,921608,938870,898917,703566,407921,126228,624433,115969,788537,166259,697706,517584,627495,539114,383771,881997,691294,703594,140697,263924,9186,707523,702221,949015,549839,439955,651222,697234,266483,886947,480770,377571,40972,976240,120929,843607,491737,726110,47201,857442,701467,449736,380408,233799,667400,708873,838058,146561,680420,559182,3626,716822,898755,384530,142930,584478,97865,278621,715692,154706,950178,499783,805581,606117,216690,998309,923488,549202,916955,395662,26461,431623,884869,80976,138691,401220,114688,282684,661125,358078,955050,71704,312724,353765,518334,257533,659097,328865,638538,49716,353162,419174,332879,174526,537706,706460,689,860354,341135,341412,527713,735166,35429,424439,54758,215523,219238,894229,416707,409055,339261,944474,161223,900890,969500,165948,616048,49445,530662,694107,689628,578107,550940,131664,961842,316710,144598,911073,149964,920358,116224,63643,219531,273026,986211,69971,250628,69489,276981,580697,667154,761535,599649,317035,589985,653023,437281,387318,884469,433270,33588,588822,938570,849324,464838,3346,329989,535135,797984,340570,318957,239203,219431,34966,537943,822209,156565,60018,340328,432246,708115,787803,17211,207660,149623,992470,494773,706135,886719,272901,184249,13549,991617,752887,372350,147255,377184,906362,912043,935814,738121,750776,1946,30868,620260,453440,527125,86694,366655,603673,774950,429123,233104,17856,336676,727903,665930,964988,658797,285198,591298,127118,17751,557809,578028,442004,657385,441844,904828,214642,450662,665914,888056,529799,725420,362620,307552,49430,828536,517914,405813,736892,593707,534101,729686,914111,125095,584617,33982,328365,212425,787325,572842,582109,252684,478003,367392,362272,769405,26782,457151,394726,492566,707707,717883,945101,490468,105215,559994,988928,29543,421203,709294,882063,678820,832508,315885,476597,672900,740976,837117,148013,700562,356961,497026,126047,95733,561957,637336,854761,873342,407208,944069,846583,174676,922511,358999,640563,465162,133086,466622,26874,262059,312243,285033,657575,260397,533715,683014,527930,472533,529927,95856,583055,400038,711080,818878,881468,316197,954818,920296,330077,453203,437399,734048,994433,260244,344635,968364,383563,926933,774546}

    249

    Returns: 328865

  93. 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    3

    Returns: 305143253

  94. {970443,299877,901678,592918,931069,175785,129685,261703,375823,942529,163291,100861,778432,995500,643927,765472,879914,67705,749091,991080,871409,897155,733142,250498,720043,97616,398564,114410,104539,2383,705132,111327,135291,91601,510534,926403,147863,110694,128399,978827,379398,140810,988299,773928,264177,691728,187199,938835,417563,353535,132924,519497,116837,665411,797644,942027,232937,638205,322968,22819,118870,802047,848134,549547,918563,741073,468938,249128,124198,824371,177390,408913,980568,245648,480739,23809,511743,543602,153394,104750,528377,490881,236400,702861,963191,611524,966486,278864,277731,615141,790378,278721,485210,720623,999921,164196,542289,183026,809689,690981,476886,334319,891165,927192,639606,102022,476177,361539,893178,279316,147197,463108,387247,786049,343184,223696,805155,782103,427118,538791,614847,772933,884910,764755,907801,781647,855337,427468,867866,252818,726739,851625,776185,600291,978607,430064,728852,214566,794824,358990,920748,304908,230217,927592,431963,167166,873189,869557,942518,340327,14596,859138,696560,643188,306662,965906,339013,267067,775623,769978,955621,941311,837887,883505,761624,685421,661926,824353,404783,814954,816718,544386,775254,677895,652440,427440,547783,64052,270272,241033,421002,352070,255519,351039,164068,236993,571916,490011,132661,315877,144869,507523,874383,899756,697473,824862,807821,167358,345602,766568,730087,179282,306931,547804,84357,330904,833671,459199,502001,538111,139933,709764,123080,822039,661981,463691,594562,987299,463330,838267,447330,772746,976455,17841,761056,194677,559077,182733,640307,799399,535330,652157,45725,195452,490756,496688,950895,545305,594978,888484,628523,662206,637004,626439,108791,979904,275516,598609,498297,941302,730132,425738,899691,286653,769498,167364,130187,312751,388211,765963,301340,421623,6964,854768,593011,180553,378907,661350,231204,674846,640138,1737,762430,150550,103350,778811,206569,816435,461038,973889,565661,202830,38320,851866,467825,659521,615298,987982,433538,415695,125016,768214,365730,122020,225467,215508,385678,948243,342712,350485,63437,119281,287084,807983,424554,238583,955563,99702,854057,869628,950791,738461,164246,624721,170852,420975,644539,444847,553781,603795,869652,845144,196956,100969,406658,647628,13851,782194,331945,126136,939309,56675,645888,548008,449349,590589,256047,812856,822653,625010,188929,260843,138294,336348,85920,751207,477845,912780,840691,796337,179949,407876,443431,877536,281515,976543,711499,65663,472125,798621,606593,723181,986843,851897,265309,373700,867510,709020,702949,790915,933750,701717,389712,980936,622282,120925,543894,10300,576769,602896,38508,566539,500317,489024,275698,728996,318890,741090,247635,674652,146242,943809,273033,947046,889658,33030,575230,475937,590637,650601,950762,751185,755795,445900,266603,426391,659,219176,419795,156171,302641,533344,694905,655472,39369,308526}

    15

    Returns: 14044307

  95. 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    1553

    Returns: 37212

  96. {249936,39831,59929,422158,725143,401001,148574,907766,138116,673883,458274,408934,716766,444532,697267,302766,362101,141463,813700,310889,932294,496633,438700,743513,582791,380467,175627,774955,990018,418809,702184,20330,166113,687347,360121,523908,358238,823032,21487,766700,218428,92189,540921,454188,28529,311470,30213,654645,269716,30490,524374,324344,237154,53937,347730,378004,717797,206149,634041,241154,972922,222569,6409,255654,396890,790222,380769,400449,259763,53278,220970,536686,883774,349957,344010,789655,452300,553507,550712,739582,404847,152643,940152,809113,32712,125812,755404,607424,457353,738819,3669,19179,647146,626817,895627,511155,508063,909346,356845,470157,369986,631050,478337,382931,382693,520905,793877,322082,434244,919224,698439,511602,209337,734426,155116,711401,916352,460456,77156,782340,29194,610996,417249,71556,113648,407992,47957,192448,437882,199771,975183,364530,602831,877935,290847,725392,870603,512418,541426,930371,217664,530544,865788,915074,394453,28632,338745,911724,434208,223597,446030,682384,121156,627247,511871,460408,901875,257377,202145,276064,603498,87474,934049,183075,108567,980803,137533}

    12

    Returns: 5896190

  97. 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    487

    Returns: 1341470

  98. 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    961

    Returns: 11

  99. 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    29

    Returns: 32533462

  100. 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    1357

    Returns: 369499

  101. 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    1800

    Returns: 83638

  102. 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    3

    Returns: 155165719

  103. 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    648

    Returns: 1103852

  104. 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    1671

    Returns: 4

  105. 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    182

    Returns: 4579015

  106. 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    702

    Returns: 460009

  107. 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    378

    Returns: 1119701

  108. 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    1047

    Returns: 629265

  109. 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    242

    Returns: 2772748

  110. 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    886

    Returns: 1475

  111. 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    3

    Returns: 208926921

  112. 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    4

    Returns: 236721266

  113. 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    131

    Returns: 4808187

  114. 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    4

    Returns: 222092428

  115. 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    1654

    Returns: 143728

  116. 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    145

    Returns: 4581717

  117. 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    60

    Returns: 1839514

  118. 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    3

    Returns: 285969873

  119. 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    445

    Returns: 1700219

  120. 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    378

    Returns: 1791317

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    15

    Returns: 17320361

  122. 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    314

    Returns: 1082951

  123. 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8,750942}

    3

    Returns: 241085570

  124. 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    1705

    Returns: 133803

  125. 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    1659

    Returns: 143278

  126. 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    915

    Returns: 752291

  127. {8,1,7,5,5,6}

    2

    Returns: 10

  128. {6,3,4,6,2,5,6,1,6}

    3

    Returns: 7

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1000000, 1000000, 1000000 }

    3

    Returns: 666000000

  130. {4, 3, 2, 2, 3 }

    2

    Returns: 4

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    2

    Returns: 491431260

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1712, 1040, 1646, 1898, 373, 1604, 919, 859, 674, 328, 89, 1144, 646, 1585, 912, 127, 1048, 651, 325, 1206, 1857, 1953, 1943, 969, 1560, 977, 42, 1797, 249, 688, 903, 134, 710, 1823, 1177, 1905, 1544, 1090, 104, 1033, 1205, 570, 431, 407, 1352, 147, 1235, 1012, 428, 1372, 1681, 295, 1118, 136, 224, 682, 496, 1075, 1354, 661, 306, 1755, 1869, 1906, 105, 1765, 1570, 1974, 1400, 19, 1532, 1336, 363, 886, 1611, 1961, 992, 387, 526, 621, 408, 652, 1693, 1690, 677, 951, 250, 491, 1102, 1382, 1180, 1815, 577, 1111, 1408, 1157, 644, 1748, 721, 1447, 1528, 478, 1586, 499, 344, 1287, 1478, 206, 108, 518, 1721, 1136, 1320, 1654, 1434, 852, 1964, 1612, 516, 468, 658, 1486, 827, 1995, 1301, 169, 237, 975, 447, 1423, 1300, 1829, 779, 226, 168, 1874, 697, 1950, 1505, 235, 627, 1297, 1094, 934, 1350, 1877, 725, 795, 102, 1265, 1221, 1684, 177, 1432, 1174, 1446, 887, 1768, 1004, 1149, 1850, 1138, 1296, 1870, 1074, 60, 848, 469, 1250, 1362, 1802, 1056, 993, 1133, 1009, 665, 1429, 1894, 753, 918, 1189, 2000, 1381, 1839, 1687, 73, 1610, 1655, 1595, 1218, 1299, 1843, 928, 1536, 371, 466, 1631, 1723, 1559, 1980, 1345, 952, 660, 584, 689, 1266, 1453, 1324, 704, 52, 1972, 394, 708, 47, 780, 32, 1729, 1909, 877, 1357, 1119, 308, 1374, 1793, 1277, 1196, 853, 712, 836, 1822, 1607, 1456, 146, 1752, 202, 537, 365, 1704, 1237, 1159, 1215, 1741, 1685, 1181, 1509, 150, 553, 1703, 1479, 1185, 1599, 1927, 1001, 555, 1937, 1782, 1508, 456, 985, 313, 126, 582, 981, 623, 972, 1791, 755, 1216, 686, 792, 475, 633, 1955, 1754, 88, 1640, 648, 410, 1876, 444, 23, 901, 1435, 1329, 400, 1173, 520, 1677, 1391, 352, 1504, 297, 1108, 1134, 1355, 1046, 355, 1998, 916, 1110, 1783, 588, 832, 1893, 1529, 1672, 389, 424, 1596, 1085, 664, 581, 304, 1899, 1093, 670, 1178, 1686, 1660, 1176, 917, 547, 1368, 1281, 1676, 1910, 458, 87, 1325, 348, 1426, 368, 1166, 1538, 1367, 391, 285, 239, 1861, 1799, 1813, 1702, 258, 1037, 821, 1892, 576, 1567, 749, 332, 1764, 1624, 1775, 1619, 1543, 254, 94, 991, 888, 1963, 1348, 946, 497, 799, 1970, 445, 404, 769, 1272, 733, 683, 1678, 29, 1546, 1918, 1670, 1081, 1942, 1484, 218, 1917, 183, 986, 791, 281, 891, 980, 262, 1653, 1003, 632, 173, 1242, 1698, 1957, 602, 626, 945, 948, 21, 278, 693, 1886, 1810, 604, 541, 1716, 1104, 819, 343, 209, 656, 1208, 1896, 1674, 868, 1954, 1745, 1552, 1988, 1422, 717, 1467, 834, 1634, 12, 807, 1984, 62, 54, 1816, 1151, 438, 187, 1377, 1310, 1246, 1671, 82, 586, 1805, 426, 1072, 39, 601, 1902, 1777, 37, 967, 1317, 293, 1084, 1688, 1922, 345, 112, 742, 223, 711, 1848, 1491, 668, 1590, 217, 678, 622, 519, 374, 1989, 1584, 362, 926, 568, 598, 789, 1494, 1492, 606, 1700, 1593, 1987, 291, 1965, 330, 1639, 612, 763, 1551, 796, 1542, 1328, 515, 1778, 409, 1417, 1919, 1924, 1433, 594, 1499, 1944, 1440, 833, 1728, 860, 212, 399, 1662, 425, 685, 1439, 865, 1623, 66, 740, 248, 1083, 1406, 1808, 1482, 1849, 446, 1045, 1615, 320, 1339, 1736, 1142, 501, 1155, 1545, 1513, 1555, 1388, 302, 937, 1976, 1331, 1852, 1493, 1390, 193, 1109, 1470, 1973, 1668, 253, 69, 18, 734, 864, 900, 958, 1228, 1831, 1576, 1436, 1921, 722, 741, 1086, 1628, 1054, 205, 284, 300, 1706, 1280, 889, 1845, 714, 1592, 647, 1041, 947, 1977, 1760, 1737, 1932, 1068, 72, 15, 1059, 505, 1521, 1769, 470, 166, 20, 1627, 440, 811, 1260, 950, 236, 898, 1669, 746, 1556, 550, 1360, 1047, 973, 139, 1278, 557, 397, 84, 1648, 67, 1885, 417, 635, 961, 787, 443, 375, 16, 617, 311, 477, 402, 1271, 1065, 312, 1431, 185, 1679, 86, 401, 748, 600, 1675, 1170, 274, 857, 46, 152, 906, 232, 893, 184, 3, 823, 805, 1161, 522, 820, 464, 921, 1904, 1497, 905, 620, 896, 680, 48, 1238, 778, 1863, 1351, 630, 786, 1948, 738, 1986, 1500, 101, 701, 1264, 1398, 1202, 907, 488, 498, 1897, 390, 255, 76, 1097, 1341, 1303, 1230, 998, 1807, 1794, 377, 1160, 925, 884, 170, 1530, 1330, 1709, 1572, 1404, 777, 963, 493, 855, 457, 92, 1333, 1966, 517, 953, 141, 298, 197, 960, 1837, 1629, 643, 1811, 841, 1855, 694, 1601, 773, 1923, 1286, 35, 1168, 989, 578, 828, 793, 822, 83, 1321, 809, 667, 256, 1515, 99, 1554, 608, 1689, 1847, 897, 1179, 1258, 145, 153, 109, 264, 810, 1413, 38, 863, 179, 246, 1788, 1879, 1259, 121, 367, 815, 412, 671, 1158, 207, 1912, 800, 614, 1052, 1836, 770, 1316, 138, 1520, 383, 393, 1780, 317, 548, 57, 111, 1517, 1591, 1219, 1313, 1128, 272, 210, 772, 1099, 1947, 565, 1789, 750, 1930, 1663, 1359, 1718, 814, 1616, 1027, 955, 1275, 1600, 1784, 1751, 1981, 1994, 899, 854, 175, 1031, 1013, 720, 275, 227, 995, 558, 1256, 1241, 1335, 1204, 695, 257, 730, 816, 506, 385, 1487, 200, 486, 1039, 59, 1188, 157, 994, 1978, 415, 1982, 971, 628, 219, 943, 996, 593, 1469, 1145, 340, 1023, 1519, 1832, 662, 432, 1225, 1841, 1889, 837, 706, 1933, 327, 1346, 829, 45, 163, 979, 764, 1740, 44, 1926, 785, 1057, 1589, 360, 1888, 413, 1015, 455, 1854, 944, 1598, 155, 1774, 1720, 357, 1459, 1550, 241, 1164, 1156, 883, 735, 1364, 1907, 172, 41, 641, 536, 1125, 1293, 1956, 1959, 531, 484, 1881, 1962 }

    133

    Returns: 14278

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