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)

"""
python3 a.py < input.txt
"""
import math
import itertools as it
import heapq

N=int(input())
S=input()
lb=None
for i in range(N):
    if S[N-i-1] == "#":
        lb=N-i-1
if lb==None:
    print(0)
    exit(0)
rw=None
for i in range(N):
    if S[i]==".":
        rw=i
if rw==None:
    print(0)
    exit(0)
nb=0
for i in range(lb, N):
    if S[i] == ".":
        nb = nb+1
nw=0
for i in range(0, rw):
    if S[i] == "#":
        nw = nw+1

print(min(nb, nw))