// ---------- begin scannner ---------- #[allow(dead_code)] mod scanner { use std::str::FromStr; pub struct Scanner<'a> { it: std::str::SplitWhitespace<'a>, } impl<'a> Scanner<'a> { pub fn new(s: &'a String) -> Scanner<'a> { Scanner { it: s.split_whitespace(), } } pub fn next(&mut self) -> T { self.it.next().unwrap().parse::().ok().unwrap() } pub fn next_bytes(&mut self) -> Vec { self.it.next().unwrap().bytes().collect() } pub fn next_chars(&mut self) -> Vec { self.it.next().unwrap().chars().collect() } pub fn next_vec(&mut self, len: usize) -> Vec { (0..len).map(|_| self.next()).collect() } } } // ---------- end scannner ---------- use std::io::Write; fn main() { use std::io::Read; let mut s = String::new(); std::io::stdin().read_to_string(&mut s).unwrap(); let mut sc = scanner::Scanner::new(&s); let out = std::io::stdout(); let mut out = std::io::BufWriter::new(out.lock()); run(&mut sc, &mut out); } fn run(sc: &mut scanner::Scanner, out: &mut std::io::BufWriter) { let t: u32 = sc.next(); for _ in 0..t { let n: usize = sc.next(); let k: usize = sc.next(); let a: Vec = sc.next_vec(n); if let Some(a) = solve(k, a) { writeln!(out, "{}", a).ok(); } else { writeln!(out, "-1").ok(); } } } fn solve(k: usize, a: Vec) -> Option { let s = a.iter().sum::(); if s % k != 0 { return None; } let b = a.iter().map(|a| *a % k).collect::>(); let mut s = b.iter().sum::() / k; let mut m = *b.iter().max().unwrap(); let n = a.len(); let mut p = (0..n).collect::>(); p.sort_by_key(|x| b[*x]); let mut deq = p.into_iter().map(|x| (b[x], a[x])).collect::>(); for _ in 0..(n * n * 2) { if s >= m { return Some(s); } while let Some(po) = deq.front() { if po.0 == po.1 { deq.pop_front(); } else { break; } } if let Some((b, a)) = deq.pop_front() { s += 1; m = b + k; deq.push_back((b + k, a)); } else { return None; } } None }