use std::io::{Write, BufWriter}; // https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 macro_rules! input { ($($r:tt)*) => { let stdin = std::io::stdin(); let mut bytes = std::io::Read::bytes(std::io::BufReader::new(stdin.lock())); let mut next = move || -> String{ bytes.by_ref().map(|r|r.unwrap() as char) .skip_while(|c|c.is_whitespace()) .take_while(|c|!c.is_whitespace()) .collect() }; input_inner!{next, $($r)*} }; } macro_rules! input_inner { ($next:expr) => {}; ($next:expr,) => {}; ($next:expr, $var:ident : $t:tt $($r:tt)*) => { let $var = read_value!($next, $t); input_inner!{$next $($r)*} }; } macro_rules! read_value { ($next:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($next, $t)).collect::>() }; ($next:expr, [ $t:tt ]) => {{ let len = read_value!($next, usize); read_value!($next, [$t; len]) }}; ($next:expr, $t:ty) => ($next().parse::<$t>().expect("Parse error")); } fn gcd(mut x: i64, mut y: i64) -> i64 { while y != 0 { let r = x % y; x = y; y = r; } x.abs() } fn nth(a: i64, n: i64) -> i64 { let mut pass = 0; let mut fail = std::cmp::min(a, 1 << ((60 + n - 1) / n)) + 1; while fail - pass > 1 { let mid = (fail + pass) / 2; let mut tmp = 1i64; for _ in 0..n { tmp = tmp.saturating_mul(mid); } if tmp <= a { pass = mid; } else { fail = mid; } } pass } fn is_sq(a: i64) -> bool { let s = nth(a, 2); s * s == a } fn main() { let out = std::io::stdout(); let mut out = BufWriter::new(out.lock()); macro_rules! puts {($($format:tt)*) => (let _ = write!(out,$($format)*););} input! { n: usize, a: [[i64]; n], } for mut a in a { let n = a.len(); loop { let mut changed = false; for i in 0..n { for j in 0..i { let g = gcd(a[i], a[j]); if g != 1 { a[i] /= g; a[j] /= g; changed = true; } } } if !changed { break; } } puts!("{}\n", if a.into_iter().all(is_sq) { "Yes" } else { "No" }); } }