Due to recent rains, water has pooled in various places in Farmer John's field, which is represented by a rectangle of $N \times M$ ($1 \le N \le 100$; $1 \le M \le 100$) squares. Each square contains either water ('$W$') or dry land ('.'). Farmer John would like to figure out how many ponds have formed in his field. A pond is a connected set of squares with water in them, where a square is considered adjacent to all eight of its neighbors.

Given a diagram of Farmer John's field, determine how many ponds he has.

Input

• Line 1: Two space-separated integers: $N$ and $M$
• Lines $2..N+1$: $M$ characters per line representing one row of Farmer John's field. Each character is either '$W$' or '.'. The characters do not have spaces between them.

Output

• Line 1: The number of ponds in Farmer John's field.

Examples

Input 1

10 12
W........WW.
.WWW.....WWW
....WW...WW.
.........WW.
.........W..
..W......W..
.W.W.....WW.
W.W.W.....W.
.W.W......W.
..W.......W.

Output 1

3

Explanation

There are three ponds: one in the upper left, one in the lower left, and one along the right side.