#[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 { (source = $s:expr, $($r:tt)*) => { let mut iter = $s.split_whitespace(); let mut next = || { iter.next().unwrap() }; input_inner!{next, $($r)*} }; ($($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:ty) => { $next().parse::<$t>().expect("Parse error") }; } /// 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 } } fn solve() { let out = std::io::stdout(); let mut out = BufWriter::new(out.lock()); macro_rules! puts { ($format:expr) => (write!(out,$format).unwrap()); ($format:expr, $($args:expr),+) => (write!(out,$format,$($args),*).unwrap()) } let n = 16; input! { a: [[i32; n]; n] } let mut a = a; for i in 0 .. n { for j in i + 1 .. n { a[j][i] = -a[i][j]; } } let mut dp = vec![vec![0i64; 1 << n]; n]; for i in 0 .. n { dp[i][1usize.wrapping_shl(i as u32)] = 1; } let mut s = 1; while s < n as u32 { s *= 2; for bits in 0 .. 1usize << n { if bits.count_ones() != s { continue; } for sub in subsets(bits) { if sub.count_ones() != s / 2 { continue; } let sub2 = bits - sub; for i in 0 .. n { if (sub & 1 << i) == 0 { continue; } for j in 0 .. n { if (sub2 & 1 << j) == 0 { continue; } if a[i][j] == 1 { dp[i][bits] += dp[i][sub] * dp[j][sub2]; } } } } } } for i in 0 .. n { puts!("{}\n", dp[i][(1 << n) - 1] << (n - 1)); } } 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(); }