pub struct SegmentTree { data: Vec, n: usize, size: usize, merge: M, propagate: P, } impl SegmentTree where T: Clone, M: Fn(&mut T, &T, &T), P: Fn(&mut T, &mut [T]), { pub fn new(a: Vec, merge: M, propagate: P) -> Self { let n = a.len(); assert!(n > 0); let size = n.next_power_of_two(); let mut data = vec![a[0].clone(); 2 * size]; for (data, ini) in data[size..].iter_mut().zip(a) { *data = ini; } let mut seg = SegmentTree { data, n, size, merge, propagate, }; for i in (1..size).rev() { seg.pull(i); } seg } pub fn find(&mut self, l: usize, r: usize, mut q: Q) where Q: FnMut(&T), { assert!(l < r && r <= self.n); self.dfs(1, 0, self.size, l, r, false, &mut |t| { q(t); true }); } pub fn update(&mut self, l: usize, r: usize, mut u: U) where U: FnMut(&mut T), { assert!(l < r && r <= self.n); self.dfs(1, 0, self.size, l, r, true, &mut |t| { u(t); true }); } pub fn update_bool(&mut self, l: usize, r: usize, mut u: U) where U: FnMut(&mut T) -> bool, { assert!(l < r && r <= self.n); self.dfs(1, 0, self.size, l, r, true, &mut u); } fn dfs(&mut self, v: usize, l: usize, r: usize, x: usize, y: usize, update: bool, op: &mut U) where U: FnMut(&mut T) -> bool, { if x <= l && r <= y && (*op)(&mut self.data[v]) { return; } if r <= self.n { self.push(v); } let mid = (l + r) / 2; if x < mid { self.dfs(2 * v, l, mid, x, y, update, op); } if mid < y { self.dfs(2 * v + 1, mid, r, x, y, update, op); } if r <= self.n && update { self.pull(v); } } fn pull(&mut self, v: usize) { let (f, t) = self.data.split_at_mut(2 * v); (self.merge)(&mut f[v], &t[0], &t[1]); } fn push(&mut self, v: usize) { let (f, t) = self.data.split_at_mut(2 * v); (self.propagate)(&mut f[v], &mut t[..2]); } } // ---------- begin Scanner(require delimiter) ---------- mod scanner { pub struct Scanner { reader: R, buf: Vec, } #[allow(dead_code)] impl Scanner { pub fn new(reader: R) -> Self { Scanner { reader: reader, buf: Vec::with_capacity(1024), } } fn read(&mut self, del: u8) { self.buf.clear(); self.reader.read_until(del, &mut self.buf).ok(); assert!(self.buf.pop().unwrap() == del); } pub fn next(&mut self, del: u8) -> T { self.read(del); std::str::from_utf8(&self.buf) .unwrap() .trim() .parse::() .ok() .unwrap() } pub fn next_bytes(&mut self, del: u8) -> Vec { self.read(del); std::str::from_utf8(&self.buf) .unwrap() .trim() .bytes() .collect() } } } // ---------- end scanner(require delimiter) ---------- use std::io::Write; fn main() { let stdin = std::io::stdin(); let mut sc = scanner::Scanner::new(stdin.lock()); run(&mut sc); } // ---------- begin binary_gcd ---------- pub fn binary_gcd(a: u64, b: u64) -> u64 { if a == 0 || b == 0 { return a + b; } let x = a.trailing_zeros(); let y = b.trailing_zeros(); let mut a = a >> x; let mut b = b >> y; while a != b { let x = (a ^ b).trailing_zeros(); if a < b { std::mem::swap(&mut a, &mut b); } a = (a - b) >> x; } a << x.min(y) } // ---------- end binary_gcd ---------- const UPPER: u64 = 1_000_000_000 + 1; #[derive(Clone)] struct Node { sum: u64, max: u64, len: u64, lcm: u64, } impl Node { fn assign(&mut self, x: u64) { self.sum = self.len * x; self.max = x; self.lcm = x; } fn chgcd(&mut self, x: u64) { let g = binary_gcd(x, self.max); self.assign(g); } } fn run(sc: &mut scanner::Scanner) { let out = std::io::stdout(); let mut out = std::io::BufWriter::new(out.lock()); let n: usize = sc.next(b' '); let q: usize = sc.next(b'\n'); let mut ini = Vec::with_capacity(n); for i in 0..n { let d = if i == n - 1 {b'\n'} else {b' '}; let v: u64 = sc.next(d); ini.push(Node { sum: v, max: v, lcm: v, len: 1, }); } let merge = |x: &mut Node, l: &Node, r: &Node| { x.sum = l.sum + r.sum; x.max = l.max.max(r.max); x.len = l.len + r.len; x.lcm = UPPER.min(l.lcm * r.lcm / binary_gcd(l.lcm, r.lcm)); }; let propagate = |p: &mut Node, c: &mut [Node]| { if p.sum == p.max * p.len { for c in c.iter_mut() { c.assign(p.max); } } }; let mut seg = SegmentTree::new(ini, merge, propagate); for _ in 0..q { let op: u8 = sc.next(b' '); let (l, r, x) = if op <= 2 { let l: usize = sc.next(b' '); let r: usize = sc.next(b' '); let x: u64 = sc.next(b'\n'); (l - 1, r, x) } else { let l: usize = sc.next(b' '); let r: usize = sc.next(b'\n'); (l - 1, r, 0) }; if op == 1 { seg.update(l, r, |node| node.assign(x)); } else if op == 2 { seg.update_bool(l, r, |node| { if x % node.lcm == 0 { return true; } node.max * node.len == node.sum && { node.chgcd(x); true } }); } else if op == 3 { let mut ans = 0; seg.find(l, r, |node| ans = ans.max(node.max)); writeln!(out, "{}", ans).ok(); } else { let mut ans = 0; seg.find(l, r, |node| ans += node.sum); writeln!(out, "{}", ans).ok(); } } }