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++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <bits/stdc++.h>
using namespace std;

int main(int argc, char const *argv[]) {
  int n, cnt;
  int flag = 0;
  string s;
  int ans = 0;
  cin >> n;
  cin >> s;

  for (size_t i = 0; i < n; i++) {
    if (s[i] == '#') {
      cnt = i;
      flag = 1;
      break;
    }
  }

  for (size_t i = 0; i < n; i++) {
    if (1 == flag && s[i] == '.' && i > cnt)
      ans++;
    else if (0 == flag && s[i] == '.')
      ans++;
  }

  cout << ans << endl;
  return 0;
}