There is a grid with
H horizontal rows and
W vertical columns. Let (
i,
j) denote the square in the
i-th row from the top and in the
j-th column on the left.
Find the number of squares that have a common side with the square (
R,
C).
Square (
a,
b) and square (
c,
d) have one common side if and only if
|a-c|+|b-d|=1 (where
|x| denotes the absolute value of < code>x).
Input
The program receives two lines as input. The first line contains two integers
H and
W (1 <= H, W <= 10). The second line contains two integers
R< /code> and C (1 <= H, W <= 10).
Imprint
Print the answer to the problem.
Examples
| # |
Input |
Output |
| 1 |
3 4
2 2 |
4 |
| 2 |
3 4
1 3
| 3 |
Grid image, for the examples described above
