SymmetricImage | Topcoder Archive

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

```
{ "AAA",
  "BBB" }
```
```
Returns: 1
```
The image is symmetric horizontally, but not vertically.

{ "ABCDE",
  "ABCDE",
  "ABCDE" }

Returns: 1

Here we have vertical symmetry only.

```
{ "ABA",
  "CDC",
  "ABA" }
```
```
Returns: 2
```
Symmetry in both directions.
```
{ "ABC" }
```
```
Returns: 1
```
With only a single row of pixels, we are guaranteed vertical symmetry.
```
{ "AB",
  "CD" }
```
```
Returns: 0
```
No symmetry at all.

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