Bessie is planning her day of munching tender spring grass and is gazing out upon the pasture which Farmer John has so lovingly partitioned into a grid with $R$ $(1 \le R \le 100)$ rows and $C$ $(1 \le C \le 100)$ columns. She wishes to count the number of grass clumps in the pasture.

Each grass clump is shown on a map as either a single '#' symbol or perhaps two '#' symbols side-by-side (but not on a diagonal). Given a map of the pasture, tell Bessie how many grass clumps there are.

By way of example, consider this pasture map where $R$=5 and $C$=6:

.#....
..#...
..#..#
...##.
.#....

This pasture has a total of 5 clumps: one on the first row, one that spans the second and third row in column 2, one by itself on the third row, one that spans columns 4 and 5 in row 4, and one more in row 5.

Input

• Line 1: Two space-separated integers: $R$ and $C$
• Lines $2,\ldots,R+1$: Line $i+1$ describes row $i$ of the field with $C$ characters, each of which is a '#' or a '.'

Output

• Line 1: A single integer that is the number of grass clumps Bessie can munch

Examples

Input 1

5 6
.#....
..#...
..#..#
...##.
.#....

Output 1

5

Problem credits: Rob Kolstad, 2008