Statistics

Problem Statement for "SymmetricImage"

Problem Statement

You are given an image described in String[] image. Different characters in image represent pixels of different colors. (For example, each 'A' is a red pixel, each 'B' is a blue pixel, and so on.) You want to determine if the image is symmetric, either horizontally or vertically. Return 0 if there is no symmetry, 1 if the image is symmetric in only a single direction, or 2 if it is symmetric both horizontally and vertically.

Definition

Class:
SymmetricImage
Method:
countDirections
Parameters:
String[]
Returns:
int
Method signature:
int countDirections(String[] image)
(be sure your method is public)

Constraints

  • image will contain between 1 and 50 elements, inclusive.
  • Each element of image will contain between 1 and 50 characters, inclusive.
  • Each element of image will be the same length.
  • Each character of each element of image will be an uppercase letter ('A'-'Z').

Examples

  1. { "AAA", "BBB" }

    Returns: 1

    The image is symmetric horizontally, but not vertically.

  2. { "ABCDE", "ABCDE", "ABCDE" }

    Returns: 1

    Here we have vertical symmetry only.

  3. { "ABA", "CDC", "ABA" }

    Returns: 2

    Symmetry in both directions.

  4. { "ABC" }

    Returns: 1

    With only a single row of pixels, we are guaranteed vertical symmetry.

  5. { "AB", "CD" }

    Returns: 0

    No symmetry at all.

  6. { "ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA", "ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA", "ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA", "ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA", "ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA","ABCDEFGHIJKLMNOPQRSTUVWXYYXWVUTSRQPONMLKJIHGFEDCBA" }

    Returns: 2

  7. {"ABAC" }

    Returns: 1

  8. {"ABCDE", "ABCDE", "ABCDE" }

    Returns: 1

  9. {"AB", "AA" }

    Returns: 0

  10. {"AAA", "BBB" }

    Returns: 1

  11. {"XAB", "AOY" }

    Returns: 0

  12. {"AA", "AA" }

    Returns: 2

  13. {"A" }

    Returns: 2

  14. {"A", "B", "C", "A" }

    Returns: 1

  15. {"ABCD", "KJHT", "GHYU", "LOII", "GHYT", "ABCD" }

    Returns: 0

  16. {"AAA", "CCC", "DDD", "AAA" }

    Returns: 1

  17. {"ABBABBA", "ABBABBA", "ABBABBA", "ABBABBA", "ABBABBA", "ABBABBA" }

    Returns: 2

  18. {"AA", "BB", "CF", "DD" }

    Returns: 0

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