#![allow(non_snake_case)] #![allow(unused_imports)] //use itertools::Itertools; // use proconio::input; // use proconio::marker::*; use std::cmp::Reverse; use std::collections::*; fn main() { input! { n:usize, } const INF: usize = std::usize::MAX; let sqs = (1..).take_while(|&i| i * i <= n).collect::>(); let mut dp = vec![INF; n + 1]; dp[0] = 0; for i in 0..n { if dp[i] == INF { continue; } for &sq in sqs.iter() { if i + sq * sq > n { break; } dp[i + sq * sq] = dp[i + sq * sq].min(dp[i] + sq); } } let mut lss = vec![]; let mut q = VecDeque::new(); q.push_back((vec![], n)); while let Some((mut ls, yaba)) = q.pop_front() { if yaba == 0 { lss.push(ls.clone()); } let prv = *ls.last().unwrap_or(&0); for &sq in sqs.iter() { if yaba < sq * sq { break; } if sq < prv { continue; } if dp[yaba - sq * sq] + sq == dp[yaba] { ls.push(sq); q.push_back((ls.clone(), yaba - sq * sq)); ls.pop(); } } } let mut ans = vec![]; for mut ls in lss { ls.sort(); let mut odd = ls .iter() .filter(|l| **l % 2 != 0) .copied() .collect::>(); let mut even = ls .iter() .filter(|l| **l % 2 == 0) .copied() .collect::>(); let mut bin = vec![0]; while !odd.is_empty() || !even.is_empty() { let last = *bin.last().unwrap(); if last == 0 { if let Some(l) = odd.pop_front() { bin.append(&mut make(0, l)); } else { let l = even.pop_back().unwrap(); bin.append(&mut make(0, l)); } } else { if let Some(l) = even.pop_front() { bin.append(&mut make(1, l)); } else { let l = odd.pop_back().unwrap(); bin.append(&mut make(1, l)); } } } bin.remove(0); ans = if ans.is_empty() { bin } else { ans.min(bin) } } for ans in ans { print!("{}", ans); } println!(); } fn make(mut top: usize, l: usize) -> Vec { let mut res = vec![]; for _ in 0..l { res.push(top); top = 1 - top; } res } mod input { #[macro_export] macro_rules! input { (source = $s:expr, $($r:tt)*) => { let mut iter = $s.split_whitespace(); input_inner!{iter, $($r)*} }; ($($r:tt)*) => { let s = { use std::io::Read; let mut s = String::new(); std::io::stdin().read_to_string(&mut s).unwrap(); s }; let mut iter = s.split_whitespace(); input_inner!{iter, $($r)*} }; } #[macro_export] macro_rules! input_inner { ($iter:expr) => {}; ($iter:expr, ) => {}; ($iter:expr, $var:ident : $t:tt $($r:tt)*) => { let $var = read_value!($iter, $t); input_inner!{$iter $($r)*} }; } #[macro_export] macro_rules! read_value { ($iter:expr, ( $($t:tt),* )) => { ( $(read_value!($iter, $t)),* ) }; ($iter:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($iter, $t)).collect::>() }; ($iter:expr, chars) => { read_value!($iter, String).chars().collect::>() }; ($iter:expr, usize1) => { read_value!($iter, usize) - 1 }; ($iter:expr, $t:ty) => { $iter.next().unwrap().parse::<$t>().expect("Parse error") }; } }