USACO Training>My Training>Section 1.4>Transformations
Transformations
A square pattern of size N x N (1 <= N <= 10) black and white
square tiles is transformed into another square pattern. Write a program
that will recognize the minimum transformation that has been applied to
the original pattern given the following list of possible transformations:
- #1: 90 Degree Rotation: The pattern was rotated clockwise 90 degrees.
- #2: 180 Degree Rotation: The pattern was rotated clockwise 180 degrees.
- #3: 270 Degree Rotation: The pattern was rotated clockwise 270 degrees.
- #4: Reflection: The pattern was reflected horizontally (turned
into a mirror image of itself by reflecting around a vertical line in the
middle of the image).
- #5: Combination: The pattern was reflected horizontally and then
subjected to one of the rotations (#1-#3).
- #6: No Change: The original pattern was not changed.
- #7: Invalid Transformation: The new pattern was not obtained by any of the
above methods.
In the case that more than one transform could have been used,
choose the one with the minimum number above.
PROGRAM NAME: transform
INPUT FORMAT
| Line 1: | A single integer, N |
| Line 2..N+1: | N lines of N characters (each either '@' or '-'); this is the square before transformation |
| Line N+2..2*N+1: | N lines of N characters (each either '@' or `-'); this is the square after transformation |
SAMPLE INPUT (file transform.in)
3
@-@
---
@@-
@-@
@--
--@
OUTPUT FORMAT
A single line containing the the number from 1 through 7 (described
above) that categorizes the transformation required to change from the
'before' representation to the `after' representation.
SAMPLE OUTPUT (file transform.out)
1