#![allow(unused_imports)] use std::cmp::*; use std::collections::*; use std::io::Write; use std::ops::Bound::*; #[allow(unused_macros)] macro_rules! debug { ($($e:expr),*) => { #[cfg(debug_assertions)] $({ let (e, mut err) = (stringify!($e), std::io::stderr()); writeln!(err, "{} = {:?}", e, $e).unwrap() })* }; } fn main() { let t = read::(); for _ in 0..t { solve(); } } fn solve() { let n = read::(); let a = read_vec::(); let criterion = |mid| { let used = a.iter().map(|&x| min(x, mid)).sum::(); used / 3 >= mid }; let (ok, ng) = binary_search(0, a.iter().sum::() / 3 + 1, criterion); if ok * 3 == a.iter().sum::() { println!("Yes"); } else { println!("No"); } } type Input = i64; fn binary_search(lb: Input, ub: Input, criterion: F) -> (Input, Input) where F: Fn(Input) -> bool, { assert_eq!(criterion(lb), true); assert_eq!(criterion(ub), false); let mut ok = lb; let mut ng = ub; while ng - ok > 1 { let mid = (ng + ok) / 2; if criterion(mid) { ok = mid; } else { ng = mid; } } (ok, ng) } fn read() -> T { let mut s = String::new(); std::io::stdin().read_line(&mut s).ok(); s.trim().parse().ok().unwrap() } fn read_vec() -> Vec { read::() .split_whitespace() .map(|e| e.parse().ok().unwrap()) .collect() }