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 Rust (1.15.1) (judge verdict: Wrong Answer)

#![allow(non_snake_case)]
#[allow(unused_imports)]
use std::collections::{BTreeMap, BTreeSet, BinaryHeap, HashMap, HashSet, VecDeque};
#[allow(unused_imports)]
use std::cmp::{max, min, Ordering};
macro_rules! input {
    (source = $s:expr, $($r:tt)*) => {
        let mut iter = $s.split_whitespace();
        let mut next = || { iter.next().unwrap() };
        input_inner!{next, $($r)*}
    };
    ($($r:tt)*) => {
        let stdin = std::io::stdin();
        let mut bytes = std::io::Read::bytes(std::io::BufReader::new(stdin.lock()));
        let mut next = move || -> String{
            bytes
                .by_ref()
                .map(|r|r.unwrap() as char)
                .skip_while(|c|c.is_whitespace())
                .take_while(|c|!c.is_whitespace())
                .collect()
        };
        input_inner!{next, $($r)*}
    };
}
macro_rules! input_inner {
    ($next:expr) => {};
    ($next:expr, ) => {};
    ($next:expr, $var:ident : $t:tt $($r:tt)*) => {
        let $var = read_value!($next, $t);
        input_inner!{$next $($r)*}
    };
}
macro_rules! read_value {
    ($next:expr, ( $($t:tt),* )) => {
        ( $(read_value!($next, $t)),* )
    };
    ($next:expr, [ $t:tt ; $len:expr ]) => {
        (0..$len).map(|_| read_value!($next, $t)).collect::<Vec<_>>()
    };
    ($next:expr, chars) => {
        read_value!($next, String).chars().collect::<Vec<char>>()
    };
    ($next:expr, usize1) => {
        read_value!($next, usize) - 1
     };
     ($next:expr, $t:ty) => {
         $next().parse::<$t>().expect("Parse error")
    };
}

#[allow(dead_code)]
const MOD: u64 = 1000000007;


fn main() {
    input!{
        N: usize,
        S: chars
    }
    let S = S;
    let mut white = vec![0; N];
    let mut black = vec![0; N];

    if S[S.len()-1] == '.' {
        white[S.len()-1] = 1;
    } else {
        black[S.len()-1] = 1;
    }

    for i in (0..N-1).rev() {
        if S[i] == '.' {
            white[i] = white[i+1] + 1;
            black[i] = black[i+1];
        } else {
            white[i] = white[i+1];
            black[i] = black[i+1] + 1;
        }
    }

    let mut ans = 0;

    for i in 0..N {
        if white[i] == 0 || black[i] == 0 {
            break;
        }
        else if black[i] > white[i] && S[i] == '#'{
            if i < N-1 && S[i+1] == '.' {
                ans += 1;
            }
        } else if black[i] <= white[i] && S[i] == '#' {
            ans += 1;
        }
    }
    println!("{}", ans);
}