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 C (GCC 5.4.1) (judge verdict: Accepted)

#include<stdio.h>
int main()
{ 
  int n,i,min,w=0,b=0;
  scanf("%d",&n);
  char u[n];
  scanf("%s",&u[0]);
  
  for(i=0;i<n;i++)
    if(u[i]=='.') w++;
  min=w;
  for(i=0;i<n;i++){
    if(u[i]=='#') w++;
      else w--;
    if(min>w) min=w;
  }
  printf("%d",min);
  return 0;
}