Statistics

Problem Statement for "RemovingDigits"

Problem Statement

You are given two Strings, number and digits. Each String contains only digits between 1 and 9, inclusive. For each occurrence of a digit in digits, you must remove a single occurrence of that digit from number. Your goal is to end up with the largest possible remaining number after all the necessary digits are removed. Return this number as a String.

Definition

Class:
RemovingDigits
Method:
maxNumber
Parameters:
String, String
Returns:
String
Method signature:
String maxNumber(String number, String digits)
(be sure your method is public)

Constraints

  • number will contain between 1 and 50 characters, inclusive.
  • digits will contain between 0 and n-1 characters, inclusive, where n is the number of characters in number.
  • Each character in number and digits will be a non-zero digit ('1'-'9').
  • The number of occurrences of each digit in number will be greater than or equal to the number of occurrences of that digit in digits.

Examples

  1. "12345"

    "513"

    Returns: "24"

    If we remove the digits '5', '3', '1' we get the number 24.

  2. "112352"

    "1123"

    Returns: "52"

    There are two choices. We can either get a "25" or a "52". The largest is "52".

  3. "123456654321"

    "612534"

    Returns: "654321"

    Removing the first half of our number gives us the maximum result.

  4. "654321123456"

    "612534"

    Returns: "654321"

    Removing the last half of our number gives us the maximum result.

  5. "2654982765982365"

    "2345978"

    Returns: "698265265"

  6. "19919293"

    "1132"

    Returns: "9999"

  7. "2834284798354"

    ""

    Returns: "2834284798354"

  8. "1627346856394756487394857463748593872718624"

    "112245647593"

    Returns: "7686397648739485746374853878624"

  9. "112"

    "1"

    Returns: "12"

  10. "67"

    ""

    Returns: "67"

  11. "52565"

    "2"

    Returns: "5565"

  12. "14683252"

    "826"

    Returns: "14352"

  13. "88746889659"

    "678869898"

    Returns: "45"

  14. "29889232193237"

    "8392228199233"

    Returns: "7"

  15. "87283878457688339"

    "7788893834"

    Returns: "8728563"

  16. "96949171972825919472"

    "9779249281511"

    Returns: "9699742"

  17. "94769124617372135977258"

    "77937283475492"

    Returns: "976161215"

  18. "13283889825213517114725573"

    "13253521572493"

    Returns: "888853171172"

  19. "96621384976426847917861718424"

    "4499664117288867896"

    Returns: "6374271142"

  20. "63948242229649179794785535958628"

    "3885947849645725546998129"

    Returns: "9227362"

  21. "88975381139391321535871435441653578"

    "4143589814179533313"

    Returns: "9833258715165578"

  22. "69221355545295117949465859399554889731"

    "138152121869443575994"

    Returns: "95555299969554873"

  23. "32136392761328166213138275575345131411252"

    "191226156528315137243354"

    Returns: "86633277531311122"

  24. "68569657831934818124522155187229135529614332"

    "58835729956121532482212567852413635"

    Returns: "998411613"

  25. "33257212876142487923324949965131895716459126931"

    "9115217672583"

    Returns: "3728764249233249499653189516491231"

  26. "15817371143718659984352444646293885924219925618152"

    "1"

    Returns: "5817371143718659984352444646293885924219925618152"

  27. "4512662372147424494846615339527745862687"

    "129442268461762778594634753263454864"

    Returns: "7215"

  28. "44182882939243692312166314948157233491561"

    "9229793154613843324412916491316516228"

    Returns: "8843"

  29. "619646946696729432186628869914553157975535"

    "69893825463966162696"

    Returns: "9949743218661455177555"

  30. "3597295411957252375755621371819212983145919"

    "9912122521143821725594979355759837553"

    Returns: "976111"

  31. "27256881971492548195588821717668937618636782"

    "612548586277167717355998"

    Returns: "99248888217186186362"

  32. "428257596197582243488843949876582354934925879"

    "9893855619428729782233469854549894452828"

    Returns: "77543"

  33. "1376917715759221241513721961534698539655655666"

    "7713752199"

    Returns: "769715922141513219615346853655655666"

  34. "92561243695236753989413744234548379339291363463"

    "33726546337"

    Returns: "961295275989414423454839339291363463"

  35. "162725575229241779383391335271974927622374559787"

    "2474277529757291399357629331717755638892245272"

    Returns: "31"

  36. "2165296726141463852622838344911192267919488882288"

    "213896884421882622322"

    Returns: "6597641856883491119267914822"

  37. "33822185421845685447412783725133438895729547478948"

    "8348841"

    Returns: "3822854218568547412783725133439572954747948"

  38. "2312"

    "23"

    Returns: "21"

  39. "122232232124324221222"

    "2223232"

    Returns: "13222144221222"

  40. "81234578961229139393931234567898765432198762134"

    "12345667895"

    Returns: "896122913939393123478987654321872134"

  41. "663539473627384927364738283747637273434621475"

    "2345857373723432476"

    Returns: "69769767388374763234346214"

  42. "123456789123456789123456789123456789123456"

    "1234566789123455679123498761225"

    Returns: "98834713456"

  43. "7863274619324325786437856438756438756348"

    "12345678923"

    Returns: "87643278643785643875643875634"

  44. "12345678912345678912345678912345678912345678912345"

    "1111223344556677889"

    Returns: "9923456789234567891234567812345"

  45. "123456789123456789123456789123456789123456789"

    "123456789123456789123456789"

    Returns: "998123456781234567"

  46. "96324823648325471325426483245732834852345825432458"

    "182343284583246583245327"

    Returns: "98687648324532452345254324"

  47. "93919353216243561277542961447639692577889623397251"

    "9995264517526473627892375"

    Returns: "9995321643619614738233721"

  48. "69617738813683866442384143539389328426849931699266"

    "2962426937544369131897913"

    Returns: "9888866844339383864316266"

  49. "12345678911234567891123456789112345678911234567891"

    "1234567891123456789112345678911234567891123456789"

    Returns: "1"

  50. "18957615728297624857926196512491856784163851186577"

    "261965186573895761579"

    Returns: "98297624872665124188418511577"

  51. "123456789123456789123456789123456789123456789"

    "339998845511122"

    Returns: "679467923456781234567812345678"

  52. "12345678912345678912345678912345678912345678912345"

    "12345678912345678912345691234567891234567891"

    Returns: "875432"

  53. "6578923421435365435643765364573266786786723452345"

    "892342143536543567886536432623"

    Returns: "7765645776763452345"

  54. "341248623646327632457843653345123123453475347573"

    "12312312764568567"

    Returns: "4866437324743533452323453475343"

  55. "324125"

    "2354"

    Returns: "21"

  56. "123456789123456789123456789123456789123456789"

    "123456789987654321123456789"

    Returns: "998123456781234567"

  57. "191"

    "1"

    Returns: "91"

  58. "123897651236912873663763745614669834"

    "2865136374646"

    Returns: "97651291287366376341983"

  59. "123456789123456789123456789123456789123456789"

    "12345678912345678912345678912345679123456789"

    Returns: "8"

  60. "68765167964657653132468764565753461987614165196873"

    "131687987465649"

    Returns: "96657653326876456575461876141651673"

  61. "9182736455463782911467899753125895765433"

    "997875511223344"

    Returns: "9876691468975312585765433"

  62. "11111111111111111111111111111111111111111111111111"

    "11111111111111111111111"

    Returns: "111111111111111111111111111"

  63. "1234567891234567891234567891234567891234567891234"

    "1"

    Returns: "234567891234567891234567891234567891234567891234"

  64. "12345678911111111111111111111111111111111111111"

    "111111"

    Returns: "23456789111111111111111111111111111111111"

  65. "123456789123456789123456789123456789123456789"

    "987654321"

    Returns: "912345678912345678912345678912345678"

  66. "935231"

    "35"

    Returns: "9321"

  67. "1129591444444444444444444444444444444444444444444"

    "119444444444444444"

    Returns: "2951444444444444444444444444444"

  68. "345"

    "4"

    Returns: "35"

  69. "4975615589463567455681945874574854549747523141"

    "87691534587345194"

    Returns: "99656755684587457454547452141"

  70. "21232"

    "2"

    Returns: "2132"

  71. "11223344556677889911223344556677889911223344556677"

    "1122334455667788991122334455667788991122334455667"

    Returns: "7"

  72. "91827364554637829114678997531253456645764895765433"

    "1122334455789"

    Returns: "9876691467899753125345664576485765433"

  73. "52152"

    "21"

    Returns: "552"

  74. "96324823648325471325426483245732834852345825432458"

    "182343284582465845327"

    Returns: "98687354268324532345234524324"

  75. "91919"

    "9"

    Returns: "9191"

  76. "3923"

    "39"

    Returns: "32"

  77. "24124879687945"

    "9789"

    Returns: "2412487645"

  78. "211221112"

    "11"

    Returns: "2221112"

  79. "12539859892349896878433468634444446223492398234322"

    "123459387833423493"

    Returns: "98599996886864444446224238234322"

  80. "5645"

    "56"

    Returns: "54"

  81. "26121"

    "26"

    Returns: "211"

  82. "112312"

    "1123"

    Returns: "21"

  83. "123456789123456789123456789123456789123456789"

    "123456789123456789123456789123456789"

    Returns: "987612345"

  84. "59415"

    "59"

    Returns: "541"

  85. "12345678912345678912345678912345678912345678912345"

    "1234567891234567891234567891234567891234567891234"

    Returns: "5"

  86. "1236549873214568798975463214653128799786451232233"

    "795479832"

    Returns: "1698732145698975463214653128786451232233"

  87. "123"

    ""

    Returns: "123"

  88. "12345665432111911119112654982765982365"

    "1116125342345978"

    Returns: "6911119112654982652365"

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