#[allow(unused_imports)] use std::cmp::*; #[allow(unused_imports)] use std::collections::*; 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),* )) => { ( $(read_value!($next, $t)),* ) }; ($next:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($next, $t)).collect::>() }; ($next:expr, chars) => { read_value!($next, String).chars().collect::>() }; ($next:expr, usize1) => { read_value!($next, usize) - 1 }; ($next:expr, [ $t:tt ]) => {{ let len = read_value!($next, usize); (0..len).map(|_| read_value!($next, $t)).collect::>() }}; ($next:expr, $t:ty) => { $next().parse::<$t>().expect("Parse error") }; } fn solve() { let out = std::io::stdout(); let mut out = BufWriter::new(out.lock()); macro_rules! puts { ($($format:tt)*) => (write!(out,$($format)*).unwrap()); } input! { n: usize, a: [i32; n], plr: [(i64, usize1, usize)], } const W: usize = 2001; let mut fac = vec![0; W]; for i in 2..W { fac[i] = i; } for i in 2..W { if fac[i] != i { continue; } for j in 2..(W - 1) / i + 1 { fac[i * j] = i; } } let primes: Vec<_> = (2..W).filter(|&i| fac[i] == i).collect(); let m = primes.len(); let mut inv = vec![0; W]; for i in 0..m { inv[primes[i]] = i; } let mut acc = vec![vec![0i32; n + 1]; m]; let mut zero = vec![0i32; n + 1]; for i in 0..n { for j in 0..m { acc[j][i + 1] = acc[j][i]; } zero[i + 1] = zero[i]; if a[i] == 0 { zero[i + 1] += 1; continue; } let mut v = a[i]; while v > 1 { let p = fac[v as usize]; v /= p as i32; let idx = inv[p]; acc[idx][i + 1] += 1; } } for &(p, l, r) in &plr { let mut ans = true; if zero[r] == zero[l] { let mut v = p; for i in 0..m { let mut e = 0; let p = primes[i] as i64; while v % p == 0 { v /= p; e += 1; } let diff = acc[i][r] - acc[i][l]; if diff < e as i32 { ans = false; } } if v > 1 { ans = false; } } puts!("{}\n", if ans { "Yes" } else { "NO" }); } } fn main() { solve(); }