#[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); read_value!($next, [$t; len]) }}; ($next:expr, $t:ty) => ($next().parse::<$t>().expect("Parse error")); } // (basis, x) where basis = x a fn find_basis_gf2(a: &[Vec]) -> Vec<(Vec, Vec)> { let n = a.len(); let m = a[0].len(); let mut basis: Vec<(Vec<_>, Vec<_>)> = vec![]; for i in 0..n { let mut cur = a[i].to_vec(); let mut real = vec![0; n]; real[i] = 1; for &(ref b, ref br) in &basis { let mut xor = cur.clone(); for j in 0..m { xor[j] ^= b[j]; } if xor < cur { cur = xor; for j in 0..n { real[j] ^= br[j]; } } } if cur.iter().any(|&x| x != 0) { basis.push((cur, real)); } } basis } fn naive(n: usize) { let mut vs = vec![]; for i in 0..n { let mut v = vec![0; n * n]; for j in 0..n { v[i * n + j] = 1; } vs.push(v); } for i in 0..n { let mut v = vec![0; n * n]; for j in 0..n { v[j * n + i] = 1; } vs.push(v); } for i in 0..2 * n - 1 { let mut v = vec![0; n * n]; for j in 0..min(n, i + 1) { let k = i - j; if k < n { v[j * n + k] = 1; } } vs.push(v); } for i in 0..2 * n - 1 { let mut v = vec![0; n * n]; for j in 0..min(n, i + 1) { let k = i - j; if k < n { v[j * n + (n - k - 1)] = 1; } } vs.push(v); } let b = find_basis_gf2(&vs); eprintln!("{} => {}", n, b.len()); } fn red(a: &[Vec]) -> Vec { let n = a.len(); let mut v = vec![vec![0; n]; n]; match n { 1 | 2 | 3 => return vec![0], _ => {} } for i in 0..n { for j in 0..n { if a[i][j] == '#' { v[i][j] = 1; } } } for i in 0..2 { if v[i][0] == 1 { for j in 0..n { v[i][j] ^= 1; } } } for i in 1..2 { if v[0][i] == 1 { for j in 0..n { v[j][i] ^= 1; } } } if v[1][1] != 0 { for i in 0..3 { let j = 2 - i; v[i][j] ^= 1; } } for i in 2..n { if v[1][i] != 0 { for j in 0..n { v[j][i] ^= 1; } } if v[i][1] != 0 { for j in 0..n { v[i][j] ^= 1; } } if v[0][i] != 0 { for k in 0..n - i { v[k][i + k] ^= 1; } } if v[i][0] != 0 { for k in 0..n - i { v[i + k][k] ^= 1; } } if v[i][i] != 0 { for k in 0..min(n, 2 * i + 1) { if 2 * i - k < n { v[2 * i - k][k] ^= 1; } } } if v[i - 1][i] != 0 { for k in 0..min(n, 2 * i) { if 2 * i - 1 - k < n { v[2 * i - 1 - k][k] ^= 1; } } } } let mut ans = vec![0u64; 625]; for i in 0..n { for j in 0..n { if v[i][j] != 0 { let idx = i * n + j; ans[idx / 64] |= 1 << (idx % 64); } } } ans } 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, m: usize, a: [[chars; n]; m], } let mut b = vec![]; for i in 0..m { b.push(red(&a[i])); } for i in 0..m { for j in i + 1..m { puts!("{}", if b[i] == b[j] { "1" } else { "0" }); } puts!("\n"); } }