Problem:
Score : 300 points

Problem Statement

There is a grid with H rows and W columns, where each square is painted black or white.

You are given H strings S_1, S_2, ..., S_H, each of length W.
If the square at the i-th row from the top and the j-th column from the left is painted black, the j-th character in the string S_i is #; if that square is painted white, the j-th character in the string S_i is ..

Find the number of pairs of a black square c_1 and a white square c_2 that satisfy the following condition:

There is a path from the square c_1 to the square c_2 where we repeatedly move to a vertically or horizontally adjacent square through an alternating sequence of black and white squares: black, white, black, white...

Constraints

1 \leq H, W \leq 400

|S_i| = W (1 \leq i \leq H)

For each i (1 \leq i \leq H), the string S_i consists of characters # and ..

Input

Input is given from Standard Input in the following format:

H W
S_1
S_2
:
S_H

Output

Print the answer.

Sample Input 1

3 3
.#.
..#
#..

Sample Output 1

10

Some of the pairs satisfying the condition are ((1, 2), (3, 3)) and ((3, 1), (3, 2)), where (i, j) denotes the square at the i-th row from the top and the j-th column from the left.

Sample Input 2

2 4
....
....

Sample Output 2

0

Sample Input 3

4 3
###
###
...
###

Sample Output 3

6

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Time Limit Exceeded)

import java.util.Scanner;

class Main{
	static int[][] dp;
	static int ans = 0;
	static int H;
	static int W;
	static char[][] map;
	static int sub = 0;
	static boolean[][] used;



	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);			//文字の入力
		H = sc.nextInt();
		W = sc.nextInt();
		map = new char[H][W];
		for(int i = 0;i < H;i++){
			String ss = sc.next();
			for(int j = 0;j < W;j++){
				map[i][j] = ss.charAt(j);
			}
		}
		//		for(int i = 0;i < H;i++){
		//			for(int j = 0;j < W;j++){
		//				System.out.print(map[i][j])				;
		//				}
		//			System.out.println();
		//		}

		int[][] black = new int[H][W];
		for(int i = 0;i < H;i++){
			for(int j = 0;j < W;j++){
				if(map[i][j] == '#'){
					black[i][j]++;
				}
			}
		}	
		for(int i = 0;i < H;i++){
			for(int j = 0;j < W;j++){
				if(black[i][j] > 0){
					for(int k = 0;k < H;k++){
						for(int m = 0;m < W;m++){
							sub = 0;
							if(map[k][m] == '.'){
								used = new boolean[H][W];
								dfs(i,j,k,m,1);
								if(sub > 0){
									ans++;
								}
							}
						}
					}
				}
			}
		}
		System.out.println(ans);





	}
	static void dfs(int y,int x,int gy,int gx,int color){
//		System.out.println("y " + y + " x "+x + " gy "+gy + " gx "+ gx );
		if(y == gy && x == gx){
//			System.out.println("ok");
			sub++;
			return;
		}
		int[] dx = {-1,1,0,0};
		int[] dy = {0,0,1,-1};
		for(int i = 0;i < 4;i++){
			if(x + dx[i] >= 0 && x + dx[i] < W && y + dy[i] >= 0 && y + dy[i] < H){
				if(color == 1){
					if(map[y+dy[i]][x+dx[i]] == '.' && !used[y+dy[i]][x+dx[i]]){
						used[y+dy[i]][x+dx[i]] = true;
						dfs(y+dy[i], x+dx[i], gy, gx, 0);
						used[y+dy[i]][x+dx[i]] = false;;

					}
				}else{
					if(map[y+dy[i]][x+dx[i]] == '#'){
						used[y+dy[i]][x+dx[i]] = true;
						dfs(y+dy[i], x+dx[i], gy, gx, 1);
						used[y+dy[i]][x+dx[i]] = false;;

					}
				}
			}
		}

	}



}







class Pair implements Comparable{
	int from;		//p
	int end;		//y
	int num;
	int bango;
	@Override
	public int compareTo(Object other) {
		Pair otherpair = (Pair)other;

		return end - otherpair.end;
	}
}