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: Wrong Answer)

n = int(input())
s = input()
wtob_res = 0
wtob_flag = False
btow_res = 0
btow_flag = False
for i in range(n):
  wtob_flag = wtob_flag or s[i] == '#'
  if wtob_flag and s[i] == '.':
    wtob_res += 1
  btow_flag = btow_flag or s[n - 1 - i] == '.'
  if btow_flag and s[n - 1 - i] == '#':
    btow_res += 1
    
print(min(btow_res, wtob_res))