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Problem Statement for "MagicalStringDiv2"

Problem Statement

Magical Girl Illy uses "magical strings" to cast spells. For her, a string X is magical if and only if there exists a positive integer k such that X is composed of k consecutive '>' characters followed by k consecutive '<' characters.
Once Illy picked up a String S. The length of S was even, and each character of S was either '<' or '>'. Illy wants to change S into a magical string. In each step, she can change a single '>' to a '<' or vice versa. Compute and return the smallest number of steps in which she can change S into a magical string.

Definition

Class:
MagicalStringDiv2
Method:
minimalMoves
Parameters:
String
Returns:
int
Method signature:
int minimalMoves(String S)
(be sure your method is public)

Constraints

  • S will contain between 2 and 50 characters, inclusive.
  • S will contain even number of characters.
  • Each character of S will be '<' or '>'.

Examples

  1. ">><<><"

    Returns: 2

    She needs to change character 2 (0-based index) from '<' to '>', and character 4 from '>' to '<'.

  2. ">>>><<<<"

    Returns: 0

    S is already a magical string, so no changes are needed.

  3. "<<>>"

    Returns: 4

  4. "<><<<>>>>><<>>>>><>><<<>><><><><<><<<<<><<>>><><><"

    Returns: 20

  5. "><"

    Returns: 0

  6. "<<"

    Returns: 1

  7. "<><>"

    Returns: 2

  8. "<<<<"

    Returns: 2

  9. "<><>>>"

    Returns: 5

  10. ">>>><<"

    Returns: 1

  11. "<<><>><<"

    Returns: 5

  12. "<<<>><>>"

    Returns: 6

  13. ">><>>>>><>"

    Returns: 5

  14. ">>>><<><><"

    Returns: 3

  15. "<><>>>>>>>>>"

    Returns: 8

  16. "<>><>><<><><"

    Returns: 4

  17. "><><<<>>"

    Returns: 4

  18. ">>>>><><><>><>>>><><<<"

    Returns: 9

  19. ">><<<>><<>><"

    Returns: 6

  20. "><><<><<<<><><<>><"

    Returns: 10

  21. "<<<>><><>><<>>><><>>><<>>>><>>><<<"

    Returns: 18

  22. "<<>>><>><>>>><<<<>><<<<><<><<<<<><<<<>>>>><><<"

    Returns: 21

  23. "><<><>><>>><><>>><<><>><<><<><>>>><>><"

    Returns: 19

  24. "<><>><><><<<<<>>><<><>><><<>><><<<>>>><>><><>><><>"

    Returns: 27

  25. "><<<><<>><><<<<<><>>><<>><>><<>><<><<><>>><<><><<>"

    Returns: 26

  26. "<<>>><>><>>>>>>>><<><>><<<><>><<"

    Returns: 11

  27. "<<<<<<<<<<<<<<>>>>>>>>>>>>>>"

    Returns: 28

  28. "<<<>><><<>><><<>"

    Returns: 9

  29. "<<<<<>>>>>"

    Returns: 10

  30. "><<<><<><<<<<<"

    Returns: 6

  31. "<<><<<<>><<<<<<><>>><><><>"

    Returns: 17

  32. "><<<><>><><><<<>><>><<"

    Returns: 11

  33. "<<<<<<<<<<<<<<<<<<<<<<<<>>>>>>>>>>>>>>>>>>>>>>>>"

    Returns: 48

  34. ">>><>>>>><><><<<<><>><<<><"

    Returns: 7

  35. "<>>><<<<<<>><<><><><<><<"

    Returns: 11

  36. ">>>>>>>>><<>"

    Returns: 4

  37. ">><<>><<><<<<<>>>>><>>><><<><<<<<<<><>"

    Returns: 16

  38. "<<<>><<<"

    Returns: 4

  39. "><>><<><<><<<>><<<>>><<<<>><<<><<>>><<"

    Returns: 19

  40. "<><<<><>>>><<<<><>><"

    Returns: 9

  41. "<<<>>>><<<>>>>><><><<<<<<>><<>><<<>>><><>><><>><><"

    Returns: 28

  42. ">><>><<<>><><><>>><<>><<<<>><<>>><><<<>>>><<<><<>>"

    Returns: 25

  43. "<>>>>>><<<<<><><><><<><>>><<><<<>><<>><<<>>><<<><<"

    Returns: 22

  44. "<><<>>><<><><><><<<><>>><<>><<<><<>><><<>>><<>><<<"

    Returns: 24

  45. ">>><<>><><<><<<<><<<<<<>><>><><<<<<>><<<<><<><><<>"

    Returns: 24

  46. "<<<<<><<<<<><>><<<><<>><<<><><><><><>><><><<><<><>"

    Returns: 30

  47. "<><><<><><<><><>><<><<><<<><>><<><<<>><<<<><<<><<>"

    Returns: 24

  48. ">><<><><>>><<<<<>><><<<<><<><><<<><><><>><<>>>><<<"

    Returns: 25

  49. "><<><<><><<<<<>>>>><><><<><<>>><><>><><><>><<<<>>>"

    Returns: 28

  50. "<>><<><><><<><><<>><><<>><<><><<<<<<<>>><<><<><<>>"

    Returns: 22

  51. "<><><><<><><<><<><<<>><<><<><>><<<>><><>><<>><<<<>"

    Returns: 26

  52. ">>><<<><><<>>>>><<<><><>><<>><<<><><><<>><<><><<<>"

    Returns: 21

  53. "<>>><<<><><>>><>>>>><>><<><<<><><<>><>><<><>>><><>"

    Returns: 23

  54. ">><><>><<><><<<<>>>><><>>>>>>>>><><<<<>><>><<><<><"

    Returns: 25

  55. "><>>><>><<><>>>><><>>>><<<<<<<><<<><<>>><>>>><<<<<"

    Returns: 18

  56. "<<<<>>>><><>>>><><<><<<>>>><><<>><<><<<<<<><<>>>><"

    Returns: 23

  57. ">>"

    Returns: 1

  58. ">>>>"

    Returns: 2

  59. ">>><"

    Returns: 1

  60. ">>>>>>>>"

    Returns: 4

  61. "<<<>>>"

    Returns: 6

  62. "><<>>>"

    Returns: 5

  63. "<><><>"

    Returns: 4

  64. "<<<<<<<>>>>>>>"

    Returns: 14

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