#[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") }; } #[allow(unused)] macro_rules! debug { ($($format:tt)*) => (write!(std::io::stderr(), $($format)*).unwrap()); } #[allow(unused)] macro_rules! debugln { ($($format:tt)*) => (writeln!(std::io::stderr(), $($format)*).unwrap()); } /// Generates an Iterator over subsets of univ, in the descending order. /// Verified by: http://judge.u-aizu.ac.jp/onlinejudge/review.jsp?rid=3050308 struct SubsetIter { bits: Option, univ: usize } impl Iterator for SubsetIter { type Item = usize; fn next(&mut self) -> Option { match self.bits { None => None, Some(bits) => { let ans = bits; self.bits = if bits == 0 { None } else { Some((bits - 1) & self.univ) }; Some(ans) } } } } fn subsets(univ: usize) -> SubsetIter { SubsetIter { bits: Some(univ), univ: univ } } const W: usize = 150_001; fn solve() { 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: [usize; n], } let mut freq = vec![vec![]; W]; for i in 0..n { freq[a[i]].push(i); } let mut ans = vec![0; n]; macro_rules! emit { () => { puts!("Yes\n"); for i in 0..n { puts!("{}{}", ans[i], if i + 1 == n { "\n" } else { " " }); } return; } } for i in 1..W { if freq[i].len() >= 2 { ans[freq[i][0]] = i as i32; ans[freq[i][1]] = - (i as i32); emit!(); } } let mut b = a.clone(); b.sort(); let mut ans_set = None; let m = min(19, b.len()); let mut dp = vec![0; 1 << m]; for bits in 0..1 << m { let mut sum = 0; for i in 0..m { if (bits & 1 << i) != 0 { sum += b[i] as i32; } } dp[bits] = sum; } 'outer: for bits in 1..1 << m { if dp[bits] % 2 != 0 { continue; } for sub in subsets(bits) { let sum = dp[bits] - dp[sub] * 2; if sum == 0 { ans_set = Some((sub, bits - sub)); break 'outer; } } } if let Some((s1, s2)) = ans_set { for i in 0..m { let idx = freq[b[i]][0]; if (s1 & 1 << i) != 0 { ans[idx] = b[i] as i32; } else if (s2 & 1 << i) != 0 { ans[idx] = -(b[i] as i32); } } emit!(); } else { puts!("No\n"); } } fn main() { // In order to avoid potential stack overflow, spawn a new thread. let stack_size = 104_857_600; // 100 MB let thd = std::thread::Builder::new().stack_size(stack_size); thd.spawn(|| solve()).unwrap().join().unwrap(); }