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Problem Statement for "GooseTattarrattatDiv1"

Problem Statement

Goose Tattarrattat has a String S of lowercase letters. Tattarrattat wants to change her string into a palindrome: a string that reads the same forwards and backwards. (For example, "racecar" is a palindrome.)


She will do this in a series of steps. In each step, Tattarrattat will choose two letters of the alphabet: X and Y. She will then change each X in her string into a Y. Changing each single character takes 1 second.


For example, if S="goose" and Tattarrattat chooses X='o' and Y='e' in the next step, the step will take 2 seconds (because there are two 'o's in S) and after the step she would have S="geese".


You are given the String S. Return the smallest number of seconds in which Tattarrattat can change S into a palindrome.

Definition

Class:
GooseTattarrattatDiv1
Method:
getmin
Parameters:
String
Returns:
int
Method signature:
int getmin(String S)
(be sure your method is public)

Notes

  • Tattarrattat must always change all occurrences of the chosen letter into the other one; she is not allowed to change only some of the occurrences.

Constraints

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

Examples

  1. "geese"

    Returns: 2

    There are many ways how Tattarrattat can change this S into a palindrome. For example, she could do it in two steps as follows: Change all 'g's to 'e's: this takes 1 second and produces the string "eeese". Change all 'e's to 's's: this takes 4 seconds and produces the string "sssss". This way took her 1+4 = 5 seconds. However, there are faster ways. The best one only takes 2 seconds. For example, she can first change all 'g's to 'e's (1 second), and then change all 's's to 'e's (1 second), obtaining the palindrome "eeeee".

  2. "tattarrattat"

    Returns: 0

    This string is already a palindrome so no changes are needed.

  3. "xyyzzzxxx"

    Returns: 2

  4. "dogeeseseegod"

    Returns: 0

  5. "palindrome"

    Returns: 5

  6. "abcdefghijklmnopqrstuvwxyzyxwvutsrqponmlkjihgfedcb"

    Returns: 48

  7. "aaabbbcxyyopqrorrqoxyxcbaaddd"

    Returns: 13

  8. "e"

    Returns: 0

  9. "ve"

    Returns: 1

  10. "nxj"

    Returns: 1

  11. "onwg"

    Returns: 2

  12. "jdwwl"

    Returns: 2

  13. "smsozy"

    Returns: 3

  14. "bjgymyq"

    Returns: 3

  15. "actznkbr"

    Returns: 4

  16. "ccqovzihl"

    Returns: 4

  17. "glecqmnffv"

    Returns: 5

  18. "kopnxmgtoec"

    Returns: 5

  19. "fcbfphevqxzo"

    Returns: 6

  20. "ikvzriypjijjl"

    Returns: 6

  21. "ufgqmebfdhtjsp"

    Returns: 7

  22. "bzhlhizfzdvxlmw"

    Returns: 7

  23. "tpqmmgezyfbplfpi"

    Returns: 8

  24. "kgjykqrenxmgvwfge"

    Returns: 8

  25. "clqnblvnxhbiprzcrd"

    Returns: 12

  26. "mgscdkdqviibwzqncon"

    Returns: 11

  27. "gwyfavhghvflggjsnzoz"

    Returns: 12

  28. "trairhswhnrrbinzulyst"

    Returns: 10

  29. "zekgxycoeiarkvytuazofh"

    Returns: 13

  30. "iyaijhiunfasnlbdtqepgbs"

    Returns: 14

  31. "nabrsskjymoigfycqgwceswf"

    Returns: 15

  32. "bethgemtepnknzovzvfyrpesq"

    Returns: 16

  33. "mmtuyooeiwrvepyntnhruwumou"

    Returns: 20

  34. "mdwfonfrarzwvhcsookkrmylbts"

    Returns: 19

  35. "lbwbihuvzeislszjtigzmjvwdwkw"

    Returns: 16

  36. "zxgawyhsqelcattbaokunmgknlsta"

    Returns: 16

  37. "vnsmrirkhqrkjgqjmiswsdjzqywbpd"

    Returns: 21

  38. "oxfqqlfdtwbxmxnmqboqjonxmowvzvx"

    Returns: 26

  39. "jibmizhufhpcdwzogczhhzwgptrzljud"

    Returns: 24

  40. "gqujiykoeqdypqctuhhwtmobtxkrmgtwe"

    Returns: 20

  41. "iiywojzdymowmfmvwkpdcvdrcmbgowrueu"

    Returns: 29

  42. "ejhonyduovxvwnisznznmedjzzrqgaqqbiu"

    Returns: 23

  43. "kecawgtxfuwmbgelpdjwrewqnxkztbbhyjnp"

    Returns: 24

  44. "xebehwtklyprdqsroqxcvmpmnqkeblarooshd"

    Returns: 26

  45. "tlhkxiihsildsolrifgtpnyyfbcyhgytsgibdx"

    Returns: 31

  46. "gyamaduuvevmzgclbufazgkoiutlzsdsgocxlyk"

    Returns: 30

  47. "vfwgbyozohyxupjjsmufcbsbtgrklmtknwjfsrtu"

    Returns: 35

  48. "fjmkxxtapezfdzduwxseomnfiuobhljfpquyuvblk"

    Returns: 30

  49. "sdwyzxeewvxytrgdhnpygjzgpgfsyorciqjnoromdu"

    Returns: 28

  50. "oqcwaiywhovohaqjjatylvndjvxplyuawoyekcmkrjw"

    Returns: 33

  51. "xbevabhcyfwtybuaxfqluvnrnprzohfnhsacyzyxftdr"

    Returns: 38

  52. "zxgqxaznqojjlwxafkgxzuzlcgrlhxhxrnfxhiigyzvgt"

    Returns: 38

  53. "brzvjmxsarukftzpbynsdbzcimvijwvzfbahlpmlzasves"

    Returns: 38

  54. "efgteztyxlxdfmufenlhoqvfklnzrcktiqkipfgtrfuirsi"

    Returns: 39

  55. "vdnwkrhxzuztlcnsmzpoltjpsztqmqhwfjoohlczsbeaqwmq"

    Returns: 41

  56. "ffllmxowxvwvtdjtdaeclrunyodthzxphfptccmgsspzhseoa"

    Returns: 44

  57. "esvinzhzrodrhkzfuorlwtxwbxwefuhklyhvzyiqaycfuuqhja"

    Returns: 44

  58. "xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx"

    Returns: 0

  59. "ffggfggffgggggggffgffggggffggffgffggggfgffgfgfggf"

    Returns: 21

  60. "pfdpzvhamtrmwxlxpxgwuiqcspmqzsedcsummwivduanvmnqjl"

    Returns: 32

  61. "ueubyfvnialatabyxptbhvabtpwtvkbatxdottpmtjgcwcjkex"

    Returns: 27

  62. "envfbrqbvvcynhhnvvfkkavvgcevakuzevqkudogmebcybkvjv"

    Returns: 23

  63. "szivqlcbqvhbvdraqrindmbnrnumzitmzavqvchvylguzeado"

    Returns: 30

  64. "qgofmmuosoksikxrnhghqbkjkospcxghgjuciknvpjoryzwigq"

    Returns: 29

  65. "auinlrymrchsntpqcppfwrsnwuwpvgrxodrynillrmkpcusua"

    Returns: 25

  66. "imdfoyudyhkckrvduillnuoeiyeounlliudbqlmkhyruifzscy"

    Returns: 18

  67. "xrepayuyubctwtykrauccnquqfuqvccuaakylwlcjuyhyammag"

    Returns: 11

  68. "ozppevgxnmiedpmcvayhiwwlevhwbwgascepdmbmnqrlmpjko"

    Returns: 16

  69. "pxcjmksjarnxnmwdkomndkukmmkwkxnmokeumnenqdjskmwfxp"

    Returns: 13

  70. "tmjgnvgeyhgkiwmeextjgkafdyakgptxeejzilgoyegvwgpjt"

    Returns: 9

  71. "xpegbfbspqpztvbfmkrsrpkbppbkpqwrkmfbjuzpqpsbfbgcps"

    Returns: 8

  72. "rgrodfsgcqbeysgcxeetcwunggnuwzneexcgslebuzgsfiorgr"

    Returns: 6

  73. "zcvaavomgutkxegjnvidkvvrcrvvjdxvnkgexktugmovaavrb"

    Returns: 6

  74. "eclkjqypfgtfindsftmhdlkwumkldhwtfocnqftgfjyqjkldb"

    Returns: 8

  75. "hdynujaalhqtecaemwmsslsdccdslssmwmdacdtlhqvajunaeh"

    Returns: 7

  76. "sepggadcsdpfsmdpwhbodscfeexcsdabhwpdusxpdsldatgpes"

    Returns: 6

  77. "prwpmyprfutdqtnhqbmadwasaasawdambqhntqxtmfrpympwrp"

    Returns: 2

  78. "legzuvvdyjsjkzqksnpndsbapabsdnpnsxqzkjsjydvvuzgel"

    Returns: 1

  79. "xjkmtjwvrpkutmpcutkzaphsjjohpaaktucpmtrkpuvwjtmkjx"

    Returns: 4

  80. "abaabb"

    Returns: 3

  81. "abbbbbbbbbbbbccccc"

    Returns: 6

  82. "aaaeeeeeeeeeebb"

    Returns: 5

  83. "abccacb"

    Returns: 4

  84. "blwejugosajrblrdlwdmxeoreoveoxhotcnqdltgptcnranxfm"

    Returns: 41

  85. "aaaaabbbbccccedddddeeeeeeeeeeefffggghhhh"

    Returns: 28

  86. "abcdaeeeeeeeeeeeeaaab"

    Returns: 9

  87. "aaccccbbb"

    Returns: 5

  88. "aabccccb"

    Returns: 4

  89. "abbbbcc"

    Returns: 3

  90. "gaaaaaaaaabb"

    Returns: 3

  91. "abyzyz"

    Returns: 4

  92. "aayyyyyz"

    Returns: 3

  93. "baccca"

    Returns: 3

  94. "abbbcc"

    Returns: 3

  95. "caaaaabb"

    Returns: 3

  96. "baaaakkk"

    Returns: 4

  97. "aacccbccb"

    Returns: 4

  98. "tkweazqgmplohyxrutojvbzllqgjaidbtqibygdzcxkujvwghw"

    Returns: 43

  99. "abccccccccccb"

    Returns: 3

  100. "slkjfdaqefsakjdfh"

    Returns: 11

  101. "ccccaaaaacbbab"

    Returns: 8

  102. "abcccccb"

    Returns: 3

  103. "aaaabbbbbbbccccc"

    Returns: 9

  104. "aacccb"

    Returns: 3

  105. "aabcccccb"

    Returns: 4

  106. "ccccaabdccbcccc"

    Returns: 4

  107. "aaacccccbddb"

    Returns: 7

  108. "abcabcabc"

    Returns: 3

  109. "accccbb"

    Returns: 3

  110. "tsvhsvohygungszjrziksodnurcfxngammyaopbvjijqanberc"

    Returns: 45

  111. "abcdaeeeeefgfeggfeeeeeeaaab"

    Returns: 12

  112. "abcdeghijklmnopqrstuvwxyzazyxwvutsrqponmlkjihfedcb"

    Returns: 48

  113. "aaeeeeeb"

    Returns: 3

  114. "wlrbbmqbhcdarzowkkyhiddqscdxrjmowf"

    Returns: 24

  115. "zaazbbbbbaaa"

    Returns: 7

  116. "abcddedcb"

    Returns: 6

  117. "aabbcccddddeeeefffffffffgggddddggggg"

    Returns: 27

  118. "acccccbb"

    Returns: 3

  119. "aabbbcccbbbbc"

    Returns: 6

  120. "acccbb"

    Returns: 3

  121. "acaaaccccb"

    Returns: 5

  122. "acccab"

    Returns: 3

  123. "yyaaaaaaaaaaaz"

    Returns: 3

  124. "heebdbbacdhfhahaecgeffhch"

    Returns: 19

  125. "dbaddbbdcaabbadaaeaeceeeeeedbbdeddebbabbcccecdbcec"

    Returns: 38

  126. "abcdefghijklmnopqrstuvwxyxwvutsrqponmlkjihgfedcbay"

    Returns: 48

  127. "aaabbbcccdefgcccbbbaaa"

    Returns: 2

  128. "caaabcbaac"

    Returns: 5

  129. "aaaaaaaaaaaaaaaaaaaaaaaaabbbbbbbbbbbbbbbbbbbbbbbbb"

    Returns: 25

  130. "aaaccbdddbbb"

    Returns: 8

  131. "aeaeeeeebb"

    Returns: 4

  132. "baaaaacc"

    Returns: 3

  133. "zzuhvrkprsipcjbjvvxjvgvvfcgsjnwlpqfestwcapnbdmzz"

    Returns: 33

  134. "aaaaacccccccabbb"

    Returns: 9

  135. "aaabebcd"

    Returns: 5

  136. "abbbbbcc"

    Returns: 3

  137. "aadefgbbbc"

    Returns: 6

  138. "deegabddgeebgehgcadgdfaheefdfcdccgafbgfehcaaehdccf"

    Returns: 41

  139. "ababababbbabababbbababbbbababbba"

    Returns: 12

  140. "abbcccccb"

    Returns: 4

  141. "asbdshjhjidsdsghavabsdc"

    Returns: 15

  142. "gseees"

    Returns: 3

  143. "ababbbbbbacc"

    Returns: 5

  144. "aabbcb"

    Returns: 3

  145. "qwertyuioplkjhgfdsazxcvbnmlkjhgfrtyewqaindhsjausid"

    Returns: 39

  146. "abbbcddac"

    Returns: 6

  147. "aabccb"

    Returns: 4

  148. "accccccccbb"

    Returns: 3

  149. "aabbbbc"

    Returns: 3

  150. "acddddc"

    Returns: 3

  151. "qwertyuiopasdfghjklzxcvbnmqwertyuiopasdfghjklzxcvb"

    Returns: 25

  152. "accccccab"

    Returns: 3

  153. "aaccccb"

    Returns: 3

  154. "xxxyyrzzzzzzzzzttttzy"

    Returns: 11

  155. "aaccddcb"

    Returns: 5

  156. "adfglkregccnquqfuqvccuaakylwlcjuyhyammag"

    Returns: 29

  157. "accceeeeeddddbb"

    Returns: 10

  158. "dddbabdbbddd"

    Returns: 5

  159. "aaaaaacbbbbcdefgh"

    Returns: 11

  160. "aabccccccccbcb"

    Returns: 5

  161. "lwqsokphdwuuoeamwkswxhjvojnmtifggvzuhodllxhzb"

    Returns: 40

  162. "abacccccccbb"

    Returns: 5

  163. "nwlrbbmqbhcdarzowkkyhiddqscdxrjmowfrxsjybldbefsarc"

    Returns: 45

  164. "aaaaffffffffffffffffffffbbbbbcccccdddddeeeeebcde"

    Returns: 28

  165. "adbcbccb"

    Returns: 5

  166. "aaaccccbb"

    Returns: 5

  167. "aaaeeeeeffffbbbb"

    Returns: 11

  168. "aaaaabbbbbabccbbbbbaaaaa"

    Returns: 13

  169. "sssscccbbbabba"

    Returns: 9

  170. "bbbaaaacc"

    Returns: 5

  171. "aaccccccccccccccccccccccccccccccccccccccccbcb"

    Returns: 4

  172. "slkjfdaqefsakjdfhsdjfskdfskdjfhsk"

    Returns: 27

  173. "abbbcac"

    Returns: 4

  174. "acccedbb"

    Returns: 5

  175. "accccbbcccbb"

    Returns: 5

  176. "cccaabcccc"

    Returns: 3

  177. "ccbbbba"

    Returns: 3

  178. "abcbac"

    Returns: 4

  179. "kkkkkaaaakkkkkk"

    Returns: 4

  180. "aabccccxxxxxxxxxxxxxxxxccccbcb"

    Returns: 5

  181. "abcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwx"

    Returns: 25

  182. "abcdefghijklmnopqrstuvwxyzabcdefghiklmnopqrstuvwz"

    Returns: 42

  183. "abbbbbabbbbbb"

    Returns: 2

  184. "vmgxepcrtmjsrevoxipeqwzeqzvbcefwdrpybwnfmrdzboucyj"

    Returns: 44

  185. "acbccb"

    Returns: 3

  186. "abeeeeb"

    Returns: 3

  187. "agggggggff"

    Returns: 3

  188. "rahjmyuwwkrxnfmqgeebeoapezsdzspmqcxjtgdyxkrpvmwmmp"

    Returns: 41

  189. "aabbbbbbc"

    Returns: 3

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