fn main() { let (n, e) = { use std::io::Read; let mut s = String::new(); std::io::stdin().read_to_string(&mut s).unwrap(); let mut it = s.trim().split_whitespace(); let n: usize = it.next().unwrap().parse().unwrap(); let e: Vec<(usize, usize, u64)> = (1..n).map(|_| { let a = it.next().unwrap().parse::().unwrap() - 1; let b = it.next().unwrap().parse::().unwrap() - 1; let c = it.next().unwrap().parse::().unwrap(); (a, b, c) }).collect(); (n, e) }; let mut g = vec![vec![]; n]; for (a, b, c) in e { g[a].push((b, c)); g[b].push((a, c)); } let mut topo = vec![0]; for i in 0..n { let v = topo[i]; for (u, _) in g[v].clone() { let x = g[u].iter().position(|p| p.0 == v).unwrap(); g[u].remove(x); topo.push(u); } } const MOD: u64 = 1_000_000_007; let mut ans = 0; let mut dp = vec![(0, 0, 0); n]; for &v in topo.iter().rev() { let mut val = (0, 0, 1);// w^2, w, cnt for (u, w) in std::mem::take(&mut g[v]) { let (a, b, c) = dp[u]; let (a, b) = ((w * w % MOD * c + 2 * w * b + a) % MOD, (b + c * w) % MOD); ans += (a * val.2 + val.0 * c + 2 * val.1 * b) % MOD; val = ((val.0 + a) % MOD, (val.1 + b) % MOD, val.2 + c); } dp[v] = val; } ans %= MOD; println!("{}", ans); }