#[allow(unused_imports)] use std::io::*; #[allow(unused_imports)] use std::str::FromStr; #[allow(unused_imports)] use std::cmp::{min, max}; #[allow(unused_imports)] use std::mem::swap; #[allow(unused_imports)] use std::collections::{HashMap, VecDeque}; #[allow(dead_code)] fn read() -> T { let stdin = stdin(); let stdin_lock = stdin.lock(); let s = stdin_lock .bytes() .map(|c| c.unwrap() as char) .skip_while(|c| c.is_whitespace()) .take_while(|c| !c.is_whitespace()) .collect::(); s.parse::().ok().unwrap() } #[allow(dead_code)] static DX: &'static [i32] = &[0, 0, 1, -1]; #[allow(dead_code)] static DY: &'static [i32] = &[1, -1, 0, 0]; #[allow(dead_code)] static MOD: u64 = 1000000007; fn main() { let n: usize = read(); let mut graph: Vec> = (0..n).map(|_| Vec::new()).collect(); let mut edge: Vec<[usize; 2]> = Vec::new(); for _ in 0..n - 1 { let a: usize = read(); let b: usize = read(); graph[a].push(b); graph[b].push(a); edge.push([a, b]); } let (parent, depth, chain, index, head) = HLD::make(&graph, 0); let mut segtree: Vec> = chain.iter().map(|c| SegTree::new(c.len(), mul, [1, 0, 0, 1])).collect(); let q: usize = read(); for _ in 0..q { let t: char = read(); if t == 'x' { let mut i: usize = read(); let x: [u64; 4] = [read(), read(), read(), read()]; if depth[edge[i][0]] < depth[edge[i][1]] { i = edge[i][1]; } else { i = edge[i][0]; } let (cidx, idx) = index[i]; segtree[cidx].update(idx, x); } else { let from: usize = read(); let mut to: usize = read(); let mut ans: [u64; 4] = [1, 0, 0, 1]; while index[from].0 != index[to].0 { let (cidx, idx) = index[to]; ans = mul(segtree[cidx].query(0, idx + 1), ans); to = parent[head[to]].unwrap(); } let (cidx, fidx) = index[from]; let (_, tidx) = index[to]; ans = mul(segtree[cidx].query(fidx + 1, tidx + 1), ans); for i in 0..3 { print!("{} ", ans[i]); } println!("{}", ans[3]); } } } fn mul(a: [u64; 4], b: [u64; 4]) -> [u64; 4] { let mut ret = [0 as u64; 4]; ret[0] = ((a[0] * b[0] % MOD) + (a[1] * b[2] % MOD)) % MOD; ret[1] = ((a[0] * b[1] % MOD) + (a[1] * b[3] % MOD)) % MOD; ret[2] = ((a[2] * b[0] % MOD) + (a[3] * b[2] % MOD)) % MOD; ret[3] = ((a[2] * b[1] % MOD) + (a[3] * b[3] % MOD)) % MOD; ret } #[allow(dead_code)] struct HLD { parent: Vec>, depth: Vec, chain: Vec>, index: Vec<(usize, usize)>, head: Vec } impl HLD { #[allow(dead_code)] fn new(graph: &Vec>, root: usize) -> Self { let (parent, depth, chain, index, head) = HLD::make(graph, root); HLD { parent, depth, chain, index, head, } } #[allow(dead_code)] fn make(graph: &Vec>, root: usize) -> (Vec>, Vec, Vec>, Vec<(usize, usize)>, Vec) { let n = graph.len(); let mut size = vec![0; n]; let mut parent: Vec> = vec![None; n]; let mut depth: Vec = vec![0; n]; let mut heavy: Vec> = vec![None; n]; HLD::make_dfs(graph, root, &mut size, &mut parent, &mut depth, &mut heavy); let (chain, index, head) = HLD::make_chain(n, graph, &parent, &heavy, root); (parent, depth, chain, index, head) } #[allow(dead_code)] fn make_chain(n: usize, graph: &Vec>, parent: &Vec>, heavy: &Vec>, root: usize) -> (Vec>, Vec<(usize, usize)>, Vec) { let mut chain: Vec> = Vec::new(); let mut index: Vec<(usize, usize)> = vec![(0, 0); n]; let mut head: Vec = vec![0; n]; let mut queued = vec![false; n]; let mut idx: usize = 0; let mut queue = VecDeque::new(); queue.push_back(root); queued[root] = true; while let Some(node) = queue.pop_front() { if parent[node] == None || heavy[parent[node].unwrap()] != Some(node) { chain.push(Vec::new()); chain[idx].push(node); head[node] = node; index[node] = (idx, 0); idx += 1; } else { let (cidx, idx) = index[parent[node].unwrap()]; chain[cidx].push(node); index[node] = (cidx, idx + 1); head[node] = head[parent[node].unwrap()]; } for child in &graph[node] { if queued[*child] { continue; } queue.push_back(*child); queued[*child] = true; } } (chain, index, head) } #[allow(dead_code)] fn make_dfs( graph: &Vec>, current: usize, size: &mut Vec, parent: &mut Vec>, depth: &mut Vec, heavy: &mut Vec>) { size[current] = 1; let mut heaviest: Option = None; for child in graph[current].iter() { if let Some(par) = parent[current] { if par == *child { continue; } } parent[*child] = Some(current); depth[*child] = depth[current] + 1; HLD::make_dfs(graph, *child, size, parent, depth, heavy); if heaviest == None || size[heaviest.unwrap()] < size[*child] { heaviest = Some(*child); } size[current] += size[*child]; } heavy[current] = heaviest; } } #[allow(dead_code)] struct SegTree where T: Clone + Copy { n: usize, dat: Vec, operation: fn(T, T) -> T, default: T, } impl SegTree where T: Clone + Copy { #[allow(dead_code)] fn new(n: usize, operation: fn(T, T) -> T, default: T) -> Self { let mut size = 1; while size < n { size <<= 1; } SegTree { n: size, dat: vec![default; size * 2], operation, default, } } #[allow(dead_code)] fn update(&mut self, idx: usize, x: T) { let mut k = idx + self.n - 1; self.dat[k] = x; while 0 < k { k = (k - 1) / 2; self.dat[k] = (self.operation)(self.dat[k * 2 + 1], self.dat[k * 2 + 2]); } } #[allow(dead_code)] fn query(&self, from: usize, to: usize) -> T { self.query_rec(from, to, 0, 0, self.n) } #[allow(dead_code)] fn query_rec(&self, from: usize, to: usize, idx: usize, a: usize, b: usize) -> T { if b <= from || to <= a { return self.default; } if from <= a && b <= to { return self.dat[idx]; } let mid = (a + b) / 2; (self.operation)(self.query_rec(from, to, idx * 2 + 1, a, mid), self.query_rec(from, to, idx * 2 + 2, mid, b)) } }