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# (Mono 4.6.2.0) (judge verdict: Wrong Answer)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace AtCoder
{
    class Program
    {
        static void Main(string[] args)
        {
            int n = int.Parse(Console.ReadLine());
            string s = Console.ReadLine();

            int sum1 = 0;
            bool found = false;

            for (int i = 1; i < n; i++)
            {
                if (s[i - 1] == '#' && s[i] == '.') found = true;
                if (found && s[i] == '.') sum1++;
            }

            int sum2 = 0;
            found = false;

            for (int i = n - 2; i >= 0; i--)
            {
                if (s[i + 1] == '.' && s[i] == '#') found = true;
                if (found && s[i] == '#') sum2++;
            }
            Console.WriteLine(sum1 > sum2 ? sum2 : sum1);
        }
    }
}