A12752 | Plus from Picture

You have a given picture with size $w \times h$ . Determine if the given picture has a single "+" shape or not. A "+" shape is described below:

- A "+" shape has one center nonempty cell.
- There should be some (at least one) consecutive non-empty cells in each direction (left, right, up, down) from the center. In other words, there should be a ray in each direction.
- All other cells are empty.

Find out if the given picture has single "+" shape.

The first line contains two integers $h$ and $w$ ( $1 \le h$ , $w \le 500$ ) — the height and width of the picture.

The $i$ -th of the next $h$ lines contains string $s_{i}$ of length $w$ consisting "." and "\*" where "." denotes the empty space and "\*" denotes the non-empty space.

If the given picture satisfies all conditions, print "YES". Otherwise, print "NO".

You can output each letter in any case (upper or lower).