#[allow(unused_imports)] use std::cmp::*; #[allow(unused_imports)] use std::collections::*; #[allow(unused_imports)] use std::io::{Write, BufWriter}; // https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 macro_rules! input { ($($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, [ $t:tt ]) => {{ let len = read_value!($next, usize); read_value!($next, [$t; len]) }}; ($next:expr, $t:ty) => ($next().parse::<$t>().expect("Parse error")); } // Segment Tree. This data structure is useful for fast folding on intervals of an array // whose elements are elements of monoid I. Note that constructing this tree requires the identity // element of I and the operation of I. // Verified by: yukicoder No. 2220 (https://yukicoder.me/submissions/841554) struct SegTree<I, BiOp> { n: usize, orign: usize, dat: Vec<I>, op: BiOp, e: I, } impl<I, BiOp> SegTree<I, BiOp> where BiOp: Fn(I, I) -> I, I: Copy { pub fn new(n_: usize, op: BiOp, e: I) -> Self { let mut n = 1; while n < n_ { n *= 2; } // n is a power of 2 SegTree {n: n, orign: n_, dat: vec![e; 2 * n - 1], op: op, e: e} } // ary[k] <- v pub fn update(&mut self, idx: usize, v: I) { debug_assert!(idx < self.orign); let mut k = idx + self.n - 1; self.dat[k] = v; while k > 0 { k = (k - 1) / 2; self.dat[k] = (self.op)(self.dat[2 * k + 1], self.dat[2 * k + 2]); } } // [a, b) (half-inclusive) // http://proc-cpuinfo.fixstars.com/2017/07/optimize-segment-tree/ #[allow(unused)] pub fn query(&self, rng: std::ops::Range<usize>) -> I { let (mut a, mut b) = (rng.start, rng.end); debug_assert!(a <= b); debug_assert!(b <= self.orign); let mut left = self.e; let mut right = self.e; a += self.n - 1; b += self.n - 1; while a < b { if (a & 1) == 0 { left = (self.op)(left, self.dat[a]); } if (b & 1) == 0 { right = (self.op)(self.dat[b - 1], right); } a = a / 2; b = (b - 1) / 2; } (self.op)(left, right) } } const INF: i32 = 1 << 29; type D = [[i32; 4]; 4]; fn mul(a: D, b: D) -> D { let mut c = [[INF; 4]; 4]; for i in 0..4 { for k in i..4 { for j in k..4 { c[i][j] = min(c[i][j], a[i][k] + b[k][j]); } } } c } // https://yukicoder.me/problems/no/2992 (3.5) // dp で解くことを考えると tropical semiring の上の行列の積になるので、セグメント木が使える。 fn main() { #[allow(unused)] let out = std::io::stdout(); #[allow(unused)] let mut out = BufWriter::new(out.lock()); #[allow(unused)] macro_rules! puts {($($format:tt)*) => (let _ = write!(out,$($format)*););} #[allow(unused)] macro_rules! putvec { ($v:expr) => { for i in 0..$v.len() { puts!("{}{}", $v[i], if i + 1 == $v.len() {"\n"} else {" "}); } } } input! { n: usize, q: usize, s: chars, qs: [(i32, usize1, String); q], } let mut lets = [[[INF; 4]; 4]; 4]; for i in 0..4 { for j in 0..4 { for k in j..4 { lets[i][j][k] = if i == k { 0 } else { 1 }; } } } let mut zero = [[INF; 4]; 4]; for i in 0..4 { zero[i][i] = 0; } let mut st = SegTree::new(n, mul, zero); for i in 0..n { let idx = (s[i] as u8 - b'A') as usize; st.update(i, lets[idx]); } for (ty, q0, q1) in qs { if ty == 1 { let x = q0; let c = q1.chars().next().unwrap(); let idx = (c as u8 - b'A') as usize; st.update(x, lets[idx]); } else { let l = q0; let r = q1.parse::<usize>().unwrap(); let res = st.query(l..r); let mut mi = INF; for i in 0..4 { mi = mi.min(res[0][i]); } puts!("{mi}\n"); } } }