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 Python (3.4.3) (judge verdict: Accepted)

#C
N = int(input())
S = str(input())
sign = ('.', '#') #w,b
if N == 1:
    print(0)
else:
    c1, c2 = 0, S.count('.')
    ans = c1 + c2
    for i in range(0,N):
        if S[i] == '#':
            c1 += 1
        else:
            c2 -= 1
        tmp = c1 + c2
        ans = min(ans, tmp)
    print(ans)