Statistics

Problem Statement for "MatchNumbersHard"

Problem Statement

Each digit can be represented using a certain number of matches. Your goal is to create the largest possible number using the matches that you have. For example, if you need 6 matches for zero, 7 matches for one, and 8 matches for two, and you have 21 matches, the largest number you can create is 210 (8 + 7 + 6 = 21 matches).

You are given a String[] matches and a String n. The ith element (zero-indexed) of matches is the number of matches needed to represent the digit i. n is the number of matches you have. Return a String[] such that the first element is the number of digits of x (where x is the largest number that can be created), the second element contains the first 50 digits of x, and the third element contains the last 50 digits of x. If x has fewer than 50 digits, the second and third elements should each be all of x. No extra leading zeros should be added to any returned value. If n is too small to create any number, return a single zero as the number of digits and empty strings ("") as the second and third elements.

Definition

Class:
MatchNumbersHard
Method:
maxNumber
Parameters:
String[], String
Returns:
String[]
Method signature:
String[] maxNumber(String[] matches, String n)
(be sure your method is public)

Notes

  • It is not necessary to use all given matches. Some matches may be left unused.

Constraints

  • matches will contain between 1 and 10 elements, inclusive.
  • Each element of matches will be an integer between 1 and 10 ^ 18 (fits in a long), inclusive, with no leading zeros.
  • n will be an integer between 0 and 10 ^ 18 (fits in a long), inclusive, with no extra leading zeros.

Examples

  1. {"6","7","8"}

    "21"

    Returns: {"3", "210", "210" }

    Example from the problem statement.

  2. {"1","7","8"}

    "21"

    Returns: {"15", "100000000000000", "100000000000000" }

  3. {"1","1","1","1","1","1","1","1","1","1"}

    "923372036854775807"

    Returns: {"923372036854775807", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999" }

    A lot of nines.

  4. {"1","923372036854775807"}

    "923372036854775807"

    Returns: {"1", "1", "1" }

  5. {"1","923372036854775806"}

    "923372036854775807"

    Returns: {"2", "10", "10" }

  6. {"1","5","10"}

    "10"

    Returns: {"6", "100000", "100000" }

  7. {"1","923372036854775807"}

    "923372036854775806"

    Returns: {"1", "0", "0" }

    Zero is the only digit that can be created. Note that no extra leading zeros should be added to any returned value.

  8. {"923372036854775807","50","60"}

    "2760"

    Returns: {"55", "21111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111" }

  9. {"923372036854775807","50","60"}

    "2010"

    Returns: {"40", "2111111111111111111111111111111111111111", "2111111111111111111111111111111111111111" }

  10. {"1", "10"}

    "1000000"

    Returns: {"999991", "10000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000" }

    There are 999990 zeros in the created number, so its last 50 digits are all zeros.

  11. {"1000000000000000", "1000000000000010", "1000000000000100", "1000000000001000", "1000000000010000", "1000000000100000", "1000000001000000", "1000000010000000", "1000000100000000", "1000001000000000" }

    "200000003333333330"

    Returns: {"200", "99988877766655544433322211100000000000000000000000", "00000000000000000000000000000000000000000000000000" }

  12. {"1000000000000000", "1000000000000010", "1000000000000100", "1000000000001000", "1000000000010000", "1000000000100000", "1000000001000000", "1000000010000000", "1000000100000000", "1000001000000000" }

    "200000170333333330"

    Returns: {"200", "99999999999999999999999999999999999999999999999999", "99999999999999999999888777666555444333222111000000" }

  13. {"923372036854775807"}

    "923372036854775807"

    Returns: {"1", "0", "0" }

  14. {"923372036854775807", "923372036854775807", "923372036854775807"}

    "923372036854775807"

    Returns: {"1", "2", "2" }

  15. {"13252", "10185", "2935", "7098", "3119", "3190", "4338"}

    "8451"

    Returns: {"2", "65", "65" }

  16. {"13252", "10185", "2817", "7098", "3119", "3190", "4338"}

    "8451"

    Returns: {"3", "222", "222" }

  17. {"99119939999969995","99119939999969998","99119939999969999"}

    "99119939999969997"

    Returns: {"1", "0", "0" }

  18. {"1","835810052671059340","835810052167105935","658100521671059340","835810055648722340"}

    "958100521671059340"

    Returns: {"300000000000000001", "30000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000" }

  19. {"1000000000000000000","1000000000000000000","1000000000000000000","1","1000000000000000000","1000000000000000000","1000000000000000000","1","1000000000000000000","1000000000000000000"}

    "999999999999999999"

    Returns: {"999999999999999999", "77777777777777777777777777777777777777777777777777", "77777777777777777777777777777777777777777777777777" }

  20. {"1","1","1","1","1","1","1","1","1","1"}

    "1000000000000000000"

    Returns: {"1000000000000000000", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999" }

  21. {"1","1","1","1","1","1","1","1"}

    "1000000000000000000"

    Returns: {"1000000000000000000", "77777777777777777777777777777777777777777777777777", "77777777777777777777777777777777777777777777777777" }

  22. {"1"}

    "1000000000000000000"

    Returns: {"1", "0", "0" }

  23. {"1","2","4","8","16","32","64","128","256","512"}

    "16383"

    Returns: {"16382", "10000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000" }

  24. {"1000000000000000000","999315786","1000000000000000000","999315787","1000000000000000000","1000000000000000000","1000000000000000000","1000000000000000000","1000000000000000000"}

    "998632045145376725"

    Returns: {"999315790", "33333333333333333333333333333333333333333333333333", "33333333333333333333333333333333333333333333311111" }

  25. {"934759010915109991","1000","1002","1004","1008","1016","1032","1064","1128","1256"}

    "9511"

    Returns: {"9", "987654321", "987654321" }

  26. {"1","737470023400002341","2","5","3","4","2","3"}

    "1000000000000000000"

    Returns: {"999999999999999999", "60000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000" }

  27. {"1","737470023400002341","2","5","3","4","2","3"}

    "999932030020000050"

    Returns: {"999932030020000049", "60000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000" }

  28. {"1","99119939999969998","99119939999969999"}

    "99119939999969997"

    Returns: {"1", "0", "0" }

  29. {"33","330000000000"}

    "330000000000"

    Returns: {"1", "1", "1" }

  30. {"33","3301"}

    "3307"

    Returns: {"1", "1", "1" }

  31. {"842850236509000000","842850236509000001","842850236509000002"}

    "842850236509002315"

    Returns: {"1", "2", "2" }

  32. {"346","128474985098436704","128474985098436702","321425"}

    "128474985098436704"

    Returns: {"371314985832704", "30000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000" }

  33. {"346","128474985098436704","128474985098436300"}

    "128474985098436704"

    Returns: {"2", "20", "20" }

  34. {"346","128474985098436704","347"}

    "128474985098436704"

    Returns: {"371314985833632", "22222222222222222222222222222222000000000000000000", "00000000000000000000000000000000000000000000000000" }

  35. {"1000000000000000000","713260892687687","713260892826940","713260892966196","713260894637276","713260972620995","713364805987902","714403938990070","740694003944857","1069891339030898"}

    "999991771548135907"

    Returns: {"1401", "98888888888887777777777777777777777766666666665555", "44444444444444444444444444444444443333332111111111" }

  36. {"1000000000000000000","709419836063046","709419836201551","709419836340056","709419838002126","709419915565897","709523189768766","710556726825966","736705214373127","1064129754094098"}

    "994606610160389548"

    Returns: {"1401", "98888888888887777777777777777777777766666666665555", "44444444444444444444444444444444443333332111111111" }

  37. {"1000000000000000000","695180444914857","695180445186305","695180445457756","695180448715186","695180600729015","695383003319552","697408587366504","748655863754388","1390360889828752"}

    "974642983770628551"

    Returns: {"1401", "88888888888877777777777777777777777666666666655555", "44444444444444444444444444444444433333321111111111" }

  38. {"1000000000000000000","19293382955104","19293382955134","19293382955169","19293382955619","19293382959746","19293383034115","19297436186810","19350128198986","20428287832746"}

    "991718470658220612"

    Returns: {"51401", "99999999999999998888888888888888888777777777777766", "55555444444443333333211111111111111111111111111111" }

  39. {"1000000000000000000","59398403","59398404","59398404","59398404","59398404","59398404","59461053","61653783","68419920"}

    "957558588169314466"

    Returns: {"16120948372", "99888777777777777777777777777777777777776666666666", "11111111111111111111111111111111111111111111111111" }

  40. {"1000000000000000000","59398403","59398404","59398404","59398404","59398404","59398404","59461053","61653783","68419920"}

    "957558588169314466"

    Returns: {"16120948372", "99888777777777777777777777777777777777776666666666", "11111111111111111111111111111111111111111111111111" }

  41. {"1000000000000000000","149281225","149281226","149281226","149281226","149281226","149281226","149421313","154324363","169453778"}

    "746389517822798856"

    Returns: {"4999888752", "99888777777777777777777777777777777777776666666666", "11111111111111111111111111111111111111111111111111" }

  42. {"1000000000000000000","621991264853","621991264854","621991264854","621991264854","621991264854","621991266293","623431057594","673823803496","829321419423"}

    "746389517822798856"

    Returns: {"1199999", "99888777777777777777777777777777777777776666666666", "11111111111111111111111111111111111111111111111111" }

  43. {"1000000000000000000","95690963823436","95690963823481","95690963823659","95690963826564","95690963864730","95690995211684","95912470684134","103665210808561","127587951763934"}

    "746389517822798856"

    Returns: {"7799", "99888777777777777777777777777777777777776666666666", "55555555555555555555555555555555555555555555555555" }

  44. {"1000000000000000000","127933563369162","127933563369243","127933563369574","127933563374923","127933563444095","127933605333525","128229705876955","138594693649686","170578084491258"}

    "997881794279460724"

    Returns: {"7799", "99888777777777777777777777777777777777776666666666", "11111111111111111111111111111111111111111111111111" }

  45. {"1000000000000000000","127933563369162","127933563369230","127933563369504","127933563373955","127933563431793","127933605333525","128229705876955","138594693649686","170578084491258"}

    "997881794279460724"

    Returns: {"7799", "99888777777777777777777777777777777777776666666666", "55555555555555554444444444443333333333333222211111" }

  46. {"1000000000000000000","127933563369162","127933563369172","127933563369267","127933563370838","127933563388092","127933576134037","128023594026000","130544452417454","146209786707203"}

    "997881794279460724"

    Returns: {"7799", "99999988888877777777777777777777777777776666666666", "55555555555555554444444444333333333333333222222222" }

  47. {"1000000000000000000","1635871793900756","1635871887616475","1635875355098497","1637581168816012","1000000000000000000","1000000000000000000","1692281166104216","1000000000000000000","1000000000000000000"}

    "997881794279460724"

    Returns: {"609", "77777777777777777777777777774444444444444444444444", "22222222222222222111111111111111111111111111111111" }

  48. {"1247352242849326","1000000000000000000","1000000000000000000","1247397192479699","1000000000000000000","1000000000000000000","1281064465629036","1000000000000000000","1000000000000000000","1000000000000000000"}

    "997881794279460724"

    Returns: {"799", "66666666666666666666666666666666666633333333333333", "33333333333333333333333333333333333300000000000000" }

  49. {"1052529643181078","1000000000000000000","1000000000000000000","1052530822485999","1000000000000000000","1000000000000000000","1052547332754913","1067565780940797","1000000000000000000","1000000000000000000"}

    "999903161022023351"

    Returns: {"949", "77777777777777777777777777777777777777777777777777", "66666666666666666663333333333333300000000000000000" }

  50. {"1052529643181078","1000000000000000000","1000000000000000000","1052530350764031","1000000000000000000","1000000000000000000","1052547332754913","1067565780940797","1000000000000000000","1000000000000000000"}

    "999903161022023351"

    Returns: {"949", "77777777777777777777777777777777777777777777777777", "66666666666666666663333333333333333333333330000000" }

  51. {"1052529643181078","1000000000000000000","1000000000000000000","1052530148597473","1000000000000000000","1000000000000000000","1052547332754913","1067565780940797","1000000000000000000","1000000000000000000"}

    "999903161022023351"

    Returns: {"949", "77777777777777777777777777777777777777777777777777", "66666666666666666663333333333333333333333333333333" }

  52. {"10"}

    "1"

    Returns: {"0", "", "" }

  53. {"1"}

    "0"

    Returns: {"0", "", "" }

  54. {"1","1"}

    "0"

    Returns: {"0", "", "" }

  55. {"1000", "1001" }

    "400090"

    Returns: {"400", "11111111111111111111111111111111111111111111111111", "00000000000000000000000000000000000000000000000000" }

  56. {"10000", "10001" }

    "980049"

    Returns: {"98", "11111111111111111111111111111111111111111111111110", "10000000000000000000000000000000000000000000000000" }

  57. {"123412341234" }

    "234"

    Returns: {"0", "", "" }

  58. {"19" }

    "3957127598359284"

    Returns: {"1", "0", "0" }

  59. {"10", "10" }

    "9"

    Returns: {"0", "", "" }

  60. {"1" }

    "10000"

    Returns: {"1", "0", "0" }

  61. {"100" }

    "1"

    Returns: {"0", "", "" }

  62. {"100000000000000", "1000000000", "1000000001" }

    "999999999999999999"

    Returns: {"999999999", "22222222222222222222222222222222222222222222222222", "22222222222222222222222222222222222222222222222222" }

  63. {"10", "11", "11" }

    "21"

    Returns: {"2", "20", "20" }

  64. {"999", "1000" }

    "399800"

    Returns: {"400", "11111111111111111111111111111111111111111111111111", "00000000000000000000000000000000000000000000000000" }

  65. {"10" }

    "1"

    Returns: {"0", "", "" }

  66. {"1", "923372036854775807" }

    "923372036854775806"

    Returns: {"1", "0", "0" }

  67. {"1", "1000" }

    "100"

    Returns: {"1", "0", "0" }

  68. {"10000000", "20000000", "20000001", "20000002", "20000003", "20000004", "20000005", "20000006", "20000007", "10000001" }

    "10000000099999999"

    Returns: {"1000000009", "99999999999999999999999999999999999999999999999999", "00000000000000000000000000000000000000000000000000" }

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