//---------- begin union_find ---------- pub struct DSU { p: Vec, } impl DSU { pub fn new(n: usize) -> DSU { assert!(n < std::i32::MAX as usize); DSU { p: vec![-1; n] } } pub fn init(&mut self) { self.p.iter_mut().for_each(|p| *p = -1); } pub fn root(&self, mut x: usize) -> usize { assert!(x < self.p.len()); while self.p[x] >= 0 { x = self.p[x] as usize; } x } pub fn same(&self, x: usize, y: usize) -> bool { assert!(x < self.p.len() && y < self.p.len()); self.root(x) == self.root(y) } pub fn unite(&mut self, x: usize, y: usize) -> Option<(usize, usize)> { assert!(x < self.p.len() && y < self.p.len()); let mut x = self.root(x); let mut y = self.root(y); if x == y { return None; } if self.p[x] > self.p[y] { std::mem::swap(&mut x, &mut y); } self.p[x] += self.p[y]; self.p[y] = x as i32; Some((x, y)) } pub fn parent(&self, x: usize) -> Option { assert!(x < self.p.len()); let p = self.p[x]; if p >= 0 { Some(p as usize) } else { None } } pub fn sum(&self, mut x: usize, mut f: F) -> usize where F: FnMut(usize), { while let Some(p) = self.parent(x) { f(x); x = p; } x } pub fn size(&self, x: usize) -> usize { assert!(x < self.p.len()); let r = self.root(x); (-self.p[r]) as usize } } //---------- end union_find ---------- // ---------- begin input macro ---------- // reference: https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 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_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_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, bytes) => { read_value!($iter, String).bytes().collect::>() }; ($iter:expr, usize1) => { read_value!($iter, usize) - 1 }; ($iter:expr, $t:ty) => { $iter.next().unwrap().parse::<$t>().expect("Parse error") }; } // ---------- end input macro ---------- fn run() { input! { n: usize, d: usize, e: [bytes; n], } let mut dsu = DSU::new(2 * n); let w = std::mem::size_of::(); let c = (n + w - 1) / w; let mut g = vec![0usize; n * c]; for (j, (e, g)) in e.iter().zip(g.chunks_mut(c)).enumerate() { for (i, e) in e.iter().enumerate() { if *e == b'1' { g[i / w] |= 1 << (i % w); dsu.unite(i, j + n); dsu.unite(j, i + n); } } } if (0..n).any(|a| !dsu.same(a, a + n)) { println!("No"); return; } let mut buf = vec![]; let mut mul = |a: &[usize], b: &[usize]| -> Vec { buf.clear(); buf.resize(c * n, 0usize); let mut res = vec![0usize; c * n]; for (i, b) in b.chunks(c).enumerate() { for j in 0..n { let x = b[j / w] >> (j % w) & 1; buf[j * c + i / w] |= x << (i % w); } } for (a, res) in a.chunks(c).zip(res.chunks_mut(c)) { for (k, b) in b.chunks(c).enumerate() { if a[k / w] >> (k % w) & 1 == 1 { for (res, b) in res.iter_mut().zip(b.iter()) { *res |= *b; } } } } res }; let mut t = vec![0usize; c * n]; for i in 0..n { t[i * c + i / w] |= 1 << (i % w); } let mut d = if d % 2 == 0 { d.min(2 * n) } else { d.min(2 * n + 1) }; let mut s = g; while d > 0 { if d & 1 == 1 { t = mul(&t, &s); } s = mul(&s, &s); d >>= 1; } for i in 0..n { for j in 0..n { if t[i * c + j / w] >> (j % w) & 1 == 0 { println!("No"); return; } } } println!("Yes"); } fn main() { run(); }