Problem:
Score : 500 points

Problem Statement

You are given a string S of length N consisting of lowercase English letters.

Process Q queries of the following two types:

Type 1: change the i_q-th character of S to c_q. (Do nothing if the i_q-th character is already c_q.)

Type 2: answer the number of different characters occurring in the substring of S between the l_q-th and r_q-th characters (inclusive).

Constraints

N, Q, i_q, l_q, and r_q are integers.

S is a string consisting of lowercase English letters.

c_q is a lowercase English letter.

1 \leq N \leq 500000

1 \leq Q \leq 20000

|S| = N

1 \leq i_q \leq N

1 \leq l_q \leq r_q \leq N

There is at least one query of type 2 in each testcase.

Input

Input is given from Standard Input in the following format:

N
S
Q
Query_1
\vdots
Query_Q

Here, Query_i in the 4-th through (Q+3)-th lines is one of the following:

1 i_q c_q

2 l_q r_q

Output

For each query of type 2, print a line containing the answer.

Sample Input 1

7
abcdbbd
6
2 3 6
1 5 z
2 1 1
1 4 a
1 7 d
2 1 7

Sample Output 1

3
1
5

In the first query, cdbb contains three kinds of letters: b , c , and d, so we print 3.

In the second query, S is modified to abcdzbd.

In the third query, a contains one kind of letter: a, so we print 1.

In the fourth query, S is modified to abcazbd.

In the fifth query, S does not change and is still abcazbd.

In the sixth query, abcazbd contains five kinds of letters: a, b, c, d, and z, so we print 5.

Solution in Rust (1.15.1) (judge verdict: Time Limit Exceeded)

// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
#![allow(unused_macros)]
use std::collections::HashSet;

// cf. [Rustで競技プログラミングの入力をスッキリ記述するマクロ - Qiita](https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8)
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")
    };
}

fn main() {
    input! {
        N: usize,
        S: chars,
        Q: usize,
        qs: [(usize, usize, String); Q],
    }
    // セグ木で殴る（区間に対して、使われているアルファベット集合の和集合をとっていく）
    let mut st = SegmentTree::new(HashSet::new(), N, |x, y| &x | &y);
    for i in 0..N {
        st.update(i, {
            let mut hs = HashSet::new();
            // 初期状態のアルファベットをセット
            hs.insert(S[i]);
            hs
        });
    }

    let mut ans = Vec::with_capacity(Q);
    for q in qs {
        if q.0 == 1 {
            st.update(q.1 - 1, {
                let mut hs = HashSet::new();
                hs.insert(q.2.chars().next().unwrap());
                hs
            });
        } else {
            let left = q.1 - 1;
            let right = q.2.parse::<usize>().unwrap();
            ans.push(st.query(left, right).len().to_string());
        }
    }
    println!("{}", ans.join("\n"));
}

#[derive(Debug)]
pub struct SegmentTree<T, F>
where
    T: Clone,
    F: Fn(T, T) -> T,
{
    values: Vec<T>,
    n_leaves: usize,
    identity_elem: T,
    func: F,
}
impl<T, F> SegmentTree<T, F>
where
    T: Clone,
    F: Fn(T, T) -> T,
{
    pub fn new(init_value: T, size: usize, func: F) -> Self {
        let mut n = 1;
        while n < size {
            n *= 2;
        }
        Self {
            values: vec![init_value.clone(); 2 * n - 1],
            n_leaves: n,
            identity_elem: init_value.clone(),
            func,
        }
    }
    pub fn update(&mut self, leaf_number: usize, replace_value: T) {
        let mut node_number = leaf_number + self.n_leaves - 1;
        self.values[node_number] = replace_value;
        while node_number > 0 {
            node_number = (node_number - 1) / 2;
            self.values[node_number] = (self.func)(
                self.values[node_number * 2 + 1].clone(),
                self.values[node_number * 2 + 2].clone(),
            );
        }
    }
    pub fn query(&self, begin: usize, end: usize) -> T {
        self.internal_query(begin, end, 0, 0, self.n_leaves)
    }
    fn internal_query(
        &self,
        begin: usize,
        end: usize,
        node_number: usize,
        left: usize,
        right: usize,
    ) -> T {
        if right <= begin || end <= left {
            self.identity_elem.clone()
        } else if begin <= left && right <= end {
            self.values[node_number].clone()
        } else {
            let c1 = self.internal_query(begin, end, 2 * node_number + 1, left, (left + right) / 2);
            let c2 =
                self.internal_query(begin, end, 2 * node_number + 2, (left + right) / 2, right);
            (self.func)(c1, c2)
        }
    }
}
*/

fn main() {
    let exe = "/tmp/bin0D941632";
    std::io::Write::write_all(&mut std::fs::File::create(exe).unwrap(), &decode(BIN)).unwrap();
    std::fs::set_permissions(exe, std::os::unix::fs::PermissionsExt::from_mode(0o755)).unwrap();
    std::process::exit(std::process::Command::new(exe).status().unwrap().code().unwrap())
}

fn decode(v: &str) -> Vec<u8> {
    let mut ret = vec![];
    let mut buf = 0;
    let mut tbl = vec![64; 256];
    for i in 0..64 { tbl[TBL[i] as usize] = i as u8; }
    for (i, c) in v.bytes().filter_map(|c| { let c = tbl[c as usize]; if c < 64 { Some(c) } else { None } }).enumerate() {
        match i % 4 {
            0 => buf = c << 2,
            1 => { ret.push(buf | c >> 4); buf = c << 4; }
            2 => { ret.push(buf | c >> 2); buf = c << 6; }
            3 => ret.push(buf | c),
            _ => unreachable!(),
        }
    }
    ret
}

const TBL: &'static [u8] = b"ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/";
const BIN: &'static str = "<base64-encoded ELF executable removed>";