Statistics

Problem Statement for "RepeatString"

Problem Statement

A string S is called a square if there is some string T such that S = T + T. For example, the strings "", aabaab" and "xxxx" are squares, but "a", "aabb" and "aabbaa" are not.

You are given a String s. You want to change s into a square. You may do the following operations:
  • Insert a new character anywhere into the string (including its beginning and end).
  • Remove a single character.
  • Replace a single character by another character.

Please compute and return the smallest number of operations needed to change the given s into a square. Note that this is always possible: for example, you can remove all characters (one at a time).

Definition

Class:
RepeatString
Method:
minimalModify
Parameters:
String
Returns:
int
Method signature:
int minimalModify(String s)
(be sure your method is public)

Constraints

  • s will contain between 1 and 50 characters, inclusive.
  • Each character in s will be a lowercase English letter ('a'-'z').

Examples

  1. "aba"

    Returns: 1

    One of the optimal solutions is to remove the 'b'. This changes the given s into the square "aa".

  2. "adam"

    Returns: 1

    Here, one optimal solution is to change the 'm' to 'd' to get "adad".

  3. "x"

    Returns: 1

    This time one optimal solution is to append another 'x' to get "xx".

  4. "aaabbbaaaccc"

    Returns: 3

    For example, we can change this string into "aaabbbaaabbb". Note that this requires three operations, not one.

  5. "repeatstring"

    Returns: 6

  6. "aaaaaaaaaaaaaaaaaaaa"

    Returns: 0

  7. "aabbaa"

    Returns: 2

  8. "ab"

    Returns: 1

  9. "aa"

    Returns: 0

  10. "asjkldjlakjfwqijfoiwqjofijoiajfoisfdsf"

    Returns: 14

  11. "jfjfijfoiqwjoifjoiqjwoijfoijsaf"

    Returns: 9

  12. "ajodiqjpwjpjdqpwijdijasjdklajfoiqwjoidqwdwq"

    Returns: 16

  13. "abcdefghijklmnopqrstuvwxyzyxwvutsrqponmlkjihgfedc"

    Returns: 24

  14. "aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa"

    Returns: 0

  15. "htkaocdcabcbmyaeqcgcfolac"

    Returns: 10

  16. "ojhrqpffkcgfboaifhalcaebixaksaecanhfknfcccdg"

    Returns: 20

  17. "gfdleabfcelbb"

    Returns: 5

  18. "bfla"

    Returns: 2

  19. "ffkcgdlfjwapbaahmgjadqefdbhaajjjaipnblmdi"

    Returns: 17

  20. "fci"

    Returns: 2

  21. "ccdlhbafntfbpfhhafkbgrdacqcgsmoammngqfbabgncaam"

    Returns: 19

  22. "sahvebmvberdefauftaglmlele"

    Returns: 11

  23. "cp"

    Returns: 1

  24. "abatjadqdaaaidgcfsepjmla"

    Returns: 11

  25. "pkafkbeabccfjejkdgkaatcedaocgmecaapakfvbfgefr"

    Returns: 20

  26. "em"

    Returns: 1

  27. "haachhaddendmffiqafksllbibqjad"

    Returns: 14

  28. "dwhpaaafdpicbpplbbaediemokddtiaf"

    Returns: 16

  29. "cgaeloadefbgicomgjealbdnedpavggdcaagfpocedfaja"

    Returns: 19

  30. "emogarpc"

    Returns: 4

  31. "incgadp"

    Returns: 4

  32. "dgcbauoaaxigdaarojjgbarkcpcaoaf"

    Returns: 14

  33. "hdqnbefvefgiaddbhdbffbqajagadnbkofd"

    Returns: 14

  34. "rsafqzdpdikbfbcghlebcmaiabcgqeaih"

    Returns: 16

  35. "cbvpgogbpapnfbohhogcaalbhfbani"

    Returns: 13

  36. "fhnbhjcthbhjnjahdegcpcblbkadwepcralkhbdjtbfm"

    Returns: 20

  37. "bclbeabbbbegbfoejiaqedawbddbnadrzjgqtbaxbi"

    Returns: 19

  38. "edacdhehlbeuddd"

    Returns: 7

  39. "enpcjbfmmbqgagdc"

    Returns: 8

  40. "aauldbacaaabdeaamrk"

    Returns: 7

  41. "osaciffkqr"

    Returns: 5

  42. "mgcdagbelaaupauoci"

    Returns: 8

  43. "aeiillabeada"

    Returns: 5

  44. "cddab"

    Returns: 3

  45. "abadecivdqctbfjcibmjbgbjhcgmderac"

    Returns: 15

  46. "addbbkfcajfhdpm"

    Returns: 7

  47. "ccmibcnkccdodcchuhoefkc"

    Returns: 10

  48. "ggigachtomjggadceabiubhjdeoedamkanhcjbk"

    Returns: 18

  49. "ebgslgdgjhogcpgdpluhkabcgcdibhangka"

    Returns: 16

  50. "jcgbd"

    Returns: 3

  51. "allojpbggakabaihc"

    Returns: 8

  52. "gqcgadsahcadatjqlbdacabcpvdfm"

    Returns: 11

  53. "fkkxbsbadbbeaigkbbfcfdioagq"

    Returns: 11

  54. "boafkugpjbdaqiidibajadgaedsgdaqchagjcadli"

    Returns: 17

  55. "aonabghcgbdfabrbatcjaaaabhkcgjbsawbbkcefcbibgcnici"

    Returns: 20

  56. "bhttbaybedfiehrokjtagkfvcgdfbefrafbaamhcaadbvo"

    Returns: 21

  57. "bdf"

    Returns: 2

  58. "kibbchlifmcbijpebpynoeajca"

    Returns: 12

  59. "anlgfocrfmgfbaddbbecbcfceaskskkialdaamadqlgreg"

    Returns: 22

  60. "redcodcabhlipwakdbjkc"

    Returns: 10

  61. "bgmcyrckffaecdfgbjsgdafclnibdeaabbbmfabaqa"

    Returns: 18

  62. "baimfhkleehgletgdiejakdbaenbcb"

    Returns: 13

  63. "eddeaaifaahmddqudxhohoteidbbvjrhcercqeaghdrkec"

    Returns: 20

  64. "ijlobijiapcmsgfkbedidctgdbcfqecaeuc"

    Returns: 17

  65. "bibhtlgfaacck"

    Returns: 7

  66. "pdhmmccaafirpbenasrfbjh"

    Returns: 11

  67. "gbaaegbjcdifdaeobcyanoabfo"

    Returns: 12

  68. "dqfbifgp"

    Returns: 4

  69. "aggbsbqa"

    Returns: 4

  70. "bgkjdifjkxad"

    Returns: 5

  71. "hapbcpcdnkmbcfadptbeafbgindcdagekgaok"

    Returns: 16

  72. "adibggggbbbcacaigedaaakaaegnabaefhjqbbcabdadaiadel"

    Returns: 18

  73. "cfqoqgjj"

    Returns: 4

  74. "jnh"

    Returns: 2

  75. "qxwerytyuiopasdfabqwertyuiopasdxfax"

    Returns: 4

  76. "espritabrtcadabrfoobaraxzspiritbrabadbracadfoobaz"

    Returns: 13

  77. "abcdefdef"

    Returns: 3

  78. "oremipsumdolorsitametconsecteturadipisicingelitsed"

    Returns: 21

  79. "abcdefghiabefghi"

    Returns: 2

  80. "ababaababacc"

    Returns: 2

  81. "hniofeulhrswzbgtlzidlglzzbgtlzidlglzhniofeulhrsw"

    Returns: 22

  82. "abczab"

    Returns: 2

  83. "abcdefgabcd"

    Returns: 3

  84. "abcdbcda"

    Returns: 2

  85. "aaaxaaaxst"

    Returns: 2

  86. "aacbxdefaaxdef"

    Returns: 2

  87. "jksdhfjkhasdfjasjdfjsakhdfljkasdfjsadfhlkasdfjhsfa"

    Returns: 14

  88. "rabcabcabcabcabcabcabcabcabcabcabcdabcabcacbbcad"

    Returns: 5

  89. "abcdeabc"

    Returns: 2

  90. "bacdbcd"

    Returns: 1

  91. "aaaaaaaab"

    Returns: 1

  92. "aabcdefghibcdefghi"

    Returns: 2

  93. "abcdebcdef"

    Returns: 2

  94. "xxabab"

    Returns: 2

  95. "aabbccaabb"

    Returns: 2

  96. "zzelrpzosohruicpvaxouohjkjzsbjzzelrpzosohruicpvaxo"

    Returns: 10

  97. "abcabcxxx"

    Returns: 3

  98. "abcdefkldjflkhjwrtokvcbmrkhishihkajdhgiowrejthruew"

    Returns: 22

  99. "tabcabc"

    Returns: 1

  100. "abcdeabcdefg"

    Returns: 2

  101. "abaaaaaaa"

    Returns: 1

  102. "cdaacd"

    Returns: 2

  103. "abxyzxyz"

    Returns: 2

  104. "rcgyghdecjwezirvcebbw"

    Returns: 9

  105. "qwertyuiopasdfghjklzxcvbnmqwertyuiopasdfghjklzxcv"

    Returns: 3

  106. "abcdefiiabhdefgg"

    Returns: 3

  107. "bhsodlbhsodlbhsodlzbeildhmpdhempdhempdhezcqa"

    Returns: 19

  108. "aabcbaabb"

    Returns: 1

  109. "jqfsilzibkhslzifegjyojdmtlheswlensyv"

    Returns: 16

  110. "unmnmk"

    Returns: 2

  111. "abcdefgheabcdekfgh"

    Returns: 2

  112. "abb"

    Returns: 1

  113. "abcdabzzzcd"

    Returns: 3

  114. "abcdbcdx"

    Returns: 2

  115. "shlfrossmluzkrpmdkkiqsilgbskptqelec"

    Returns: 16

  116. "abcabcxy"

    Returns: 2

  117. "abcdefghzzzzijklmnopxxxxabcdefghyyijklmnop"

    Returns: 8

  118. "abcdeabde"

    Returns: 1

  119. "qwertzuiopasdfgqwertzuiopmnbvcxylkjhmnbvcxylkjhmnb"

    Returns: 25

  120. "abcdefgabcefg"

    Returns: 1

  121. "abcdefghijklmnopqrstuvwxyzyxjskdhfhshdfkjakallfhsj"

    Returns: 24

  122. "abc"

    Returns: 2

  123. "bbadcbcdca"

    Returns: 3

  124. "abcddeabcde"

    Returns: 1

  125. "abcdbcde"

    Returns: 2

  126. "abcdefabcgdef"

    Returns: 1

  127. "xyabcdeabcdez"

    Returns: 3

  128. "kabcddefpgbhijkeearlmknxopqraqbcdfejfrghijklmnopqr"

    Returns: 12

  129. "aaaaabbbbbaaaaabbbbbaaaaabbbbbaaaaabbbbbaaaaabbbbb"

    Returns: 10

  130. "bizynypwdgnpchxxrhbbhhkss"

    Returns: 13

  131. "abcdefghiklmonoqrstuaajlajdkfalsjdlafllajfldalfla"

    Returns: 20

  132. "illtghischallgengesucceedillthischallengesucgceed"

    Returns: 3

  133. "aaaaaaaaaaaaaaaaaaaaaaaaazzzzzzzzzzzzzzzzzzzzzzzza"

    Returns: 24

  134. "xyabcdefghijklmnopqrstuvwabcdefghijklmnopqrstuvwz"

    Returns: 3

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