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: Runtime Error)

#include<stdio.h>
int main (void)
{
    char moji[2*10000];
    int n;
    int i,j;//制御
    int kazu=0;//変えなきゃいけない回数
    scanf("%d",&n);
    scanf("%s",moji);
    if(moji[0]=='.'){
        for(i=1;i<n;i++){
            if(moji[i]!='.')
            break;
        }
        for(j=i;j<n;j++){
            if(moji[j]=='.')
            kazu++;
        }
    }
    else{
        for(i=0;i<n;i++){
            if(moji[i]=='.'){
            kazu++;}
        }
    }
    printf("%d\n",kazu);
    return 0;
}