#[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, usize1) => (read_value!($next, usize) - 1); ($next:expr, $t:ty) => ($next().parse::<$t>().expect("Parse error")); } trait Change { fn chmax(&mut self, x: Self); fn chmin(&mut self, x: Self); } impl Change for T { fn chmax(&mut self, x: T) { if *self < x { *self = x; } } fn chmin(&mut self, x: T) { if *self > x { *self = x; } } } // https://yukicoder.me/problems/no/1349 (3.5, 解説を見た) // N 個の要素を大きさ 10 程度のブロックに分割して、ブロックごとに区間和を持つと N^2/200 エントリで済む。 // -> 解説を見た。dp[i][j] := min {x | [i, x] で j を作れる} とし、 // dp[i][k * a[i]] <- dp[i + 1][k] という DP をする。 // The author read the editorial before implementing this. // Tags: idea, queries fn main() { let out = std::io::stdout(); let mut out = BufWriter::new(out.lock()); macro_rules! puts {($($format:tt)*) => (let _ = write!(out,$($format)*););} input! { n: usize, q: usize, p: usize, a: [usize; n], lrk: [(usize1, usize, usize); q], } let mut dp = vec![vec![n; p]; n + 1]; for i in (0..n).rev() { dp[i][a[i]] = i; for j in 0..p { let tmp = dp[i + 1][j]; dp[i][(j * a[i]) % p].chmin(tmp); dp[i][j].chmin(tmp); } } for (l, r, k) in lrk { puts!("{}\n", if dp[l][k] < r { "Yes" } else { "No" }); } }