Problem:
Score : 300 points

Problem Statement

There are N stones arranged in a row. Every stone is painted white or black.
A string S represents the color of the stones. The i-th stone from the left is white if the i-th character of S is ., and the stone is black if the character is #.

Takahashi wants to change the colors of some stones to black or white so that there will be no white stone immediately to the right of a black stone.
Find the minimum number of stones that needs to be recolored.

Constraints

1 \leq N \leq 2\times 10^5

S is a string of length N consisting of . and #.

Input

Input is given from Standard Input in the following format:

N
S

Output

Print the minimum number of stones that needs to be recolored.

Sample Input 1

3
#.#

Sample Output 1

1

It is enough to change the color of the first stone to white.

Sample Input 2

5
#.##.

Sample Output 2

2

Sample Input 3

9
.........

Sample Output 3

0

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.io.*;
import java.util.*;

public class Main{
  public static void main(String[] args)throws IOException{
    //BufferedReader br = new BufferedReader(System.in);
    Scanner sc = new Scanner(System.in);
    PrintWriter out = new PrintWriter(System.out);
    
    int n = sc.nextInt();
    char[] s = sc.next().toCharArray();

    int b=0, w=0, f=0;
    for(int i=0; i<n; i++){
      if(s[i] == '#')
        f = 1;

      if(s[i] == '#')
        b++;
      else if(s[i]=='.' && f==1)
        w++;
    }
    
    out.flush();
  }
}