Problem:
Score : 400 points

Problem Statement

An altar enshrines N stones arranged in a row from left to right. The color of the i-th stone from the left (1 \leq i \leq N) is given to you as a character c_i; R stands for red and W stands for white.

You can do the following two kinds of operations any number of times in any order:

Choose two stones (not necessarily adjacent) and swap them.

Choose one stone and change its color (from red to white and vice versa).

According to a fortune-teller, a white stone placed to the immediate left of a red stone will bring a disaster. At least how many operations are needed to reach a situation without such a white stone?

Constraints

2 \leq N \leq 200000

c_i is R or W.

Input

Input is given from Standard Input in the following format:

N
c_{1}c_{2}...c_{N}

Output

Print an integer representing the minimum number of operations needed.

Sample Input 1

4
WWRR

Sample Output 1

2

For example, the two operations below will achieve the objective.

Swap the 1-st and 3-rd stones from the left, resulting in RWWR.

Change the color of the 4-th stone from the left, resulting in RWWW.

Sample Input 2

2
RR

Sample Output 2

0

It can be the case that no operation is needed.

Sample Input 3

8
WRWWRWRR

Sample Output 3

3

Solution in Rust (1.42.0) (judge verdict: Accepted)

use proconio::{fastout, input};

use proconio::marker::Chars;
use std::cmp::{max, min};

#[fastout]
fn main() {
    input! {
        n: usize,
        cc: Chars,
    }
    let mut ws = vec![0; n + 1];
    let mut rs = vec![0; n + 1];
    for i in 0..n {
        ws[i + 1] = ws[i] + if cc[i] == 'W' { 1 } else { 0 };
        rs[i + 1] = rs[i] + if cc[i] == 'R' { 1 } else { 0 };
    }
    let rn = rs[n];
    let mut ans = n + 1;
    for i in 0..=n {
        ans = min(ans, max(ws[i], rn - rs[i]));
    }
    println!("{}", ans);
}