// This code is generated by [rsk0315/cargo-atcoder](https://github.com/rsk0315/cargo-atcoder) forked from [tanakh/cargo-atcoder](https://github.com/tanakh/cargo-atcoder). // Original source code: const _: &str = r#" use std::collections::{BTreeMap, BTreeSet}; use std::iter::FromIterator; use itertools::Itertools; use proconio::input; const MOD: u64 = 998244353; fn main() { input! { n: usize, a: [i64; n], } let mut memo = BTreeMap::new(); let res = a.iter().permutations(n).any(|p| { let a: Vec<_> = p.iter().map(|&&ai| ai).collect(); solve(&a, &mut memo) }); println!("{}", if res { "YES" } else { "NO" }); } fn solve(a: &[i64], memo: &mut BTreeMap>) -> bool { let n = a.len(); let mut dp = vec![vec![0; n + 1]; n + 1]; for i in 0..n { dp[i][i + 1] = a[i]; for j in i + 1..n { dp[i][j + 1] = dp[i][j] * 101 + a[j]; } memo.insert(a[i], BTreeSet::from_iter(Some((a[i], 1)))); } for w in 2..=n { for l in 0..=n - w { let r = l + w; let mut tmp = BTreeSet::new(); if memo.contains_key(&dp[l][r]) { continue; } for m in l + 1..r { if r - l == n { let (small, large) = if memo[&dp[l][m]].len() < memo[&dp[m][r]].len() { (&memo[&dp[l][m]], &memo[&dp[m][r]]) } else { (&memo[&dp[m][r]], &memo[&dp[l][m]]) }; if small.iter().any(|x| large.contains(x)) { return true; } continue; } for &vl in &memo[&dp[l][m]] { for &vr in &memo[&dp[m][r]] { if eq(vl, vr) { return true; } tmp.insert(add(vl, vr)); tmp.insert(sub(vl, vr)); tmp.insert(mul(vl, vr)); if vr.1 != 0 { tmp.insert(div(vl, vr)); } } } } memo.insert(dp[l][r], tmp); } } false } fn eq((nl, dl): (i64, i64), (nr, dr): (i64, i64)) -> bool { let nl = (nl as u32) as u64; let nr = (nr as u32) as u64; let dl = (dl as u32) as u64; let dr = (dr as u32) as u64; nl * dr % MOD == nr * dl % MOD } fn add((nl, dl): (i64, i64), (nr, dr): (i64, i64)) -> (i64, i64) { let nl = (nl as u32) as u64; let nr = (nr as u32) as u64; let dl = (dl as u32) as u64; let dr = (dr as u32) as u64; (((nl * dr + nr * dl) % MOD) as i64, (dl * dr % MOD) as i64) } fn sub((nl, dl): (i64, i64), (nr, dr): (i64, i64)) -> (i64, i64) { let nl = (nl as u32) as i64; let nr = (nr as u32) as i64; let dl = (dl as u32) as i64; let dr = (dr as u32) as i64; ((nl * dr - nr * dl).rem_euclid(MOD as i64), dl * dr % MOD as i64) } fn mul((nl, dl): (i64, i64), (nr, dr): (i64, i64)) -> (i64, i64) { let nl = (nl as u32) as u64; let nr = (nr as u32) as u64; let dl = (dl as u32) as u64; let dr = (dr as u32) as u64; ((nl * nr % MOD) as i64, (dl * dr % MOD) as i64) } fn div((nl, dl): (i64, i64), (nr, dr): (i64, i64)) -> (i64, i64) { let nl = (nl as u32) as u64; let nr = (nr as u32) as u64; let dl = (dl as u32) as u64; let dr = (dr as u32) as u64; ((nl * dr % MOD) as i64, (dl * nr % MOD) as i64) } "#; fn main() { let exe = std::env::temp_dir().join("binD00A83BA"); std::io::Write::write_all(&mut std::fs::File::create(&exe).unwrap(), &decode(BIN)).unwrap(); #[cfg(unix)] fn executable(exe: &std::path::Path) { std::fs::set_permissions(exe, std::os::unix::fs::PermissionsExt::from_mode(0o755)).unwrap(); } #[cfg(not(unix))] fn executable(_: &std::path::Path) {} executable(&exe); std::process::exit(std::process::Command::new(&exe).status().unwrap().code().unwrap()) } fn decode(v: &str) -> Vec { let mut ret = vec![]; let mut buf = 0; let mut tbl = vec![64; 256]; for i in 0..64 { tbl[TBL[i] as usize] = i as u8; } for (i, c) in v.bytes().filter_map(|c| { let c = tbl[c as usize]; if c < 64 { Some(c) } else { None } }).enumerate() { match i % 4 { 0 => buf = c << 2, 1 => { ret.push(buf | c >> 4); buf = c << 4; } 2 => { ret.push(buf | c >> 2); buf = c << 6; } 3 => ret.push(buf | c), _ => unreachable!(), } } ret } const TBL: &[u8] = b"ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/"; const BIN: &str = " f0VMRgIBAQAAAAAAAAAAAAMAPgABAAAAID4BAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAEAAOAADAAAA AAAAAAEAAAAGAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAABY4QAAAAAAAAAQAAAAAAAA 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