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()
B_end = 0

if len(S) == 0:
	print(0)
else:
	for n in range(N):
		if S[n:n+2] == "#." :
			M = n+1
			break
		else:
			M = len(S)+1
	for j in range(N):
		if S[-(j+1)] == "#":
			B_end += 1
		if S[-(j+1)] == ".":
			break
	
	WB = S[M:].count(".")
	BW = S[M:].count("#") - B_end
#	print("B_end = " + str(B_end))
#	print(S[M-1:].count("#"))
#	print(min(WB , BW))