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 Ruby (2.3.3) (judge verdict: Wrong Answer)

n = gets.to_i
s = gets.strip
chunked = s.scan(/^\.*([^.].*[^#])#*$/)[0]

if chunked.nil?
  puts 0
else
  chunked = chunked[0].chars.chunk(&:itself).to_a
  ret = chunked.size.times.map do |i|
    head, tail = chunked[0..i], chunked[i+1..-1]
    count = head.map{|c, x| c == "#" ? x.size : 0 } + tail.map{|c, x| c == "." ? x.size : 0 }
    count.inject(&:+)
  end.min
 puts ret
end