// ---------- 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 ---------- pub trait DFSTest: Clone { fn merge(&mut self, l: &Self, r: &Self); fn propagate(&mut self, c: &mut [Self]); } struct SegmentTree { data: Vec, size: usize, stack: Vec<(usize, usize, usize)>, } impl SegmentTree where T: DFSTest, { fn new(ini: Vec) -> Self { let size = ini.len().next_power_of_two(); let mut data = vec![ini[0].clone(); 2 * size]; for (data, ini) in data[size..].iter_mut().zip(ini) { *data = ini; } for i in (1..size).rev() { let (f, t) = data.split_at_mut(2 * i); f[i].merge(&t[0], &t[1]); } Self { data, size, stack: vec![], } } fn update_bool(&mut self, l: usize, r: usize, mut f: F) where F: FnMut(&mut T) -> bool, { self.stack.clear(); self.stack.push((1, 0, self.size)); while let Some((v, x, y)) = self.stack.pop() { if v >= 2 * self.size { let v = !v; let (f, t) = self.data.split_at_mut(2 * v); f[v].merge(&t[0], &t[1]); continue; } if l <= x && y <= r && f(&mut self.data[v]) { continue; } assert!(v < self.size); { let (f, t) = self.data.split_at_mut(2 * v); f[v].propagate(&mut t[..2]); } let mid = (x + y) / 2; self.stack.push((!v, x, y)); if mid < r { self.stack.push((2 * v + 1, mid, y)); } if l < mid { self.stack.push((2 * v, x, mid)); } } } fn update(&mut self, l: usize, r: usize, mut f: F) where F: FnMut(&mut T) { self.update_bool(l, r, |node| { f(node); true }); } fn query(&mut self, l: usize, r: usize, mut f: F) where F: FnMut(&T), { self.stack.clear(); self.stack.push((1, 0, self.size)); while let Some((v, x, y)) = self.stack.pop() { if l <= x && y <= r { f(&self.data[v]); continue; } assert!(v < self.size); { let (f, t) = self.data.split_at_mut(2 * v); f[v].propagate(&mut t[..2]); } let mid = (x + y) / 2; if mid < r { self.stack.push((2 * v + 1, mid, y)); } if l < mid { self.stack.push((2 * v, x, mid)); } } } } #[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) { assert!(self.max * self.len == self.sum); let g = binary_gcd(x, self.max); self.assign(g); } } const UPPER: u64 = 1_000_000_000 + 1; impl DFSTest for Node { fn merge(&mut self, l: &Self, r: &Self) { self.sum = l.sum + r.sum; self.max = l.max.max(r.max); self.len = l.len + r.len; self.lcm = UPPER.min(l.lcm * r.lcm / binary_gcd(l.lcm, r.lcm)); } fn propagate(&mut self, c: &mut [Self]) { if self.max * self.len == self.sum { for c in c.iter_mut() { c.assign(self.max); } } } } // ---------- 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); } 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 mut seg = SegmentTree::new(ini); 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.query(l, r, |node| ans = ans.max(node.max)); writeln!(out, "{}", ans).ok(); } else { let mut ans = 0; seg.query(l, r, |node| ans += node.sum); writeln!(out, "{}", ans).ok(); } } }