// ---------- 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, m: usize, k: usize, e: [(usize, usize); m], } const MOD: u64 = 998_244_353; type Mat = Vec>; let mul = |a: &Mat, b: &Mat| -> Mat { let mut c = vec![vec![0; n]; n]; for (c, a) in c.iter_mut().zip(a) { for (a, b) in a.iter().zip(b) { for (c, b) in c.iter_mut().zip(b) { *c = (*c + *a * *b) % MOD; } } } c }; let mut r = vec![vec![0; n]; n]; for (a, b) in e { r[a][b] = 1; r[b][a] = 1; } let mut t = vec![vec![0; n]; n]; for i in 0..n { t[i][i] = 1; } let mut k = k; while k > 0 { if k & 1 == 1 { t = mul(&t, &r); } r = mul(&r, &r); k >>= 1; } println!("{}", t[0][0]); } fn main() { run(); }