// -*- coding:utf-8-unix -*-
// #![feature(map_first_last)]
#![allow(dead_code)]
#![allow(unused_imports)]
#![allow(unused_macros)]
use std::cmp::Ordering::*;
use std::collections::*;
use std::convert::*;
use std::convert::{From, Into};
use std::error::Error;
use std::f64::consts::PI;
use std::fmt::Debug;
use std::fmt::Display;
use std::fs::File;
use std::hash::Hash;
use std::io::prelude::*;
use std::io::*;
use std::marker::Copy;
use std::mem::*;
use std::ops::Bound::*;
use std::ops::RangeBounds;
use std::ops::{Add, Mul, Neg, Sub};
use std::slice::from_raw_parts;
use std::str;
use std::vec;

const INF: i64 = 1223372036854775807;
const UINF: usize = INF as usize;
// const FINF: f64 = 122337203685.0;
const LINF: i64 = 2147483647;
const FINF: f64 = LINF as f64;
const INF128: i128 = 1223372036854775807000000000000;
// const MOD: i64 = 1000000007;
const MOD: i64 = 998244353;

const MPI: f64 = 3.14159265358979323846264338327950288f64;
// const MOD: i64 = INF;

const UMOD: usize = MOD as usize;
use std::cmp::*;
use std::collections::*;
use std::io::stdin;
use std::io::stdout;
use std::io::Write;

macro_rules! p {
    ($x:expr) => {
        println!("{}", $x);
    };
}
macro_rules! d {
    ($x:expr) => {
        println!("{:?}", $x);
    };
}

// use str::Chars;

// use str::Chars;
#[allow(dead_code)]
fn read<T: std::str::FromStr>() -> T {
    let mut s = String::new();
    std::io::stdin().read_line(&mut s).ok();
    s.trim().parse().ok().unwrap()
}

#[allow(dead_code)]
fn readi() -> (i64) {
    let mut str = String::new();
    let _ = stdin().read_line(&mut str).unwrap();
    let mut iter = str.split_whitespace();
    iter.next().unwrap().parse::<i64>().unwrap()
}

#[allow(dead_code)]
fn read_vec<T: std::str::FromStr>() -> Vec<T> {
    read::<String>()
        .split_whitespace()
        .map(|e| e.parse().ok().unwrap())
        .collect()
}
#[allow(dead_code)]
fn read_mat<T: std::str::FromStr>(n: u32) -> Vec<Vec<T>> {
    (0..n).map(|_| read_vec()).collect()
}

#[allow(dead_code)]
fn readii() -> (i64, i64) {
    let mut str = String::new();
    let _ = stdin().read_line(&mut str).unwrap();
    let mut iter = str.split_whitespace();
    (
        iter.next().unwrap().parse::<i64>().unwrap(),
        iter.next().unwrap().parse::<i64>().unwrap(),
    )
}

fn readff() -> (f64, f64) {
    let mut str = String::new();
    let _ = stdin().read_line(&mut str).unwrap();
    let mut iter = str.split_whitespace();
    (
        iter.next().unwrap().parse::<f64>().unwrap(),
        iter.next().unwrap().parse::<f64>().unwrap(),
    )
}

#[allow(dead_code)]
fn readiii() -> (i64, i64, i64) {
    let mut str = String::new();
    let _ = stdin().read_line(&mut str).unwrap();
    let mut iter = str.split_whitespace();
    (
        iter.next().unwrap().parse::<i64>().unwrap(),
        iter.next().unwrap().parse::<i64>().unwrap(),
        iter.next().unwrap().parse::<i64>().unwrap(),
    )
}
#[allow(dead_code)]
fn readuu() -> (usize, usize) {
    let mut str = String::new();
    let _ = stdin().read_line(&mut str).unwrap();
    let mut iter = str.split_whitespace();
    (
        iter.next().unwrap().parse::<usize>().unwrap(),
        iter.next().unwrap().parse::<usize>().unwrap(),
    )
}

fn readcc() -> (char, char) {
    let mut str = String::new();
    let _ = stdin().read_line(&mut str).unwrap();
    let mut iter = str.split_whitespace();
    (
        iter.next().unwrap().parse::<char>().unwrap(),
        iter.next().unwrap().parse::<char>().unwrap(),
    )
}

#[allow(dead_code)]
fn readuuu() -> (usize, usize, usize) {
    let mut str = String::new();
    let _ = stdin().read_line(&mut str).unwrap();
    let mut iter = str.split_whitespace();
    (
        iter.next().unwrap().parse::<usize>().unwrap(),
        iter.next().unwrap().parse::<usize>().unwrap(),
        iter.next().unwrap().parse::<usize>().unwrap(),
    )
}

#[allow(dead_code)]
fn readuuuu() -> (usize, usize, usize, usize) {
    let mut str = String::new();
    let _ = stdin().read_line(&mut str).unwrap();
    let mut iter = str.split_whitespace();
    (
        iter.next().unwrap().parse::<usize>().unwrap(),
        iter.next().unwrap().parse::<usize>().unwrap(),
        iter.next().unwrap().parse::<usize>().unwrap(),
        iter.next().unwrap().parse::<usize>().unwrap(),
    )
}

fn readiiii() -> (i64, i64, i64, i64) {
    let mut str = String::new();
    let _ = stdin().read_line(&mut str).unwrap();
    let mut iter = str.split_whitespace();
    (
        iter.next().unwrap().parse::<i64>().unwrap(),
        iter.next().unwrap().parse::<i64>().unwrap(),
        iter.next().unwrap().parse::<i64>().unwrap(),
        iter.next().unwrap().parse::<i64>().unwrap(),
    )
}

pub mod matrix {
    #[derive(Clone)]
    pub struct Matrix {
        pub v: Vec<Vec<i64>>,
    }
    impl Matrix {
        pub fn identity(n: usize) -> Self {
            let mut v = vec![vec![0; n]; n];
            for i in 0..n {
                v[i][i] = 1;
            }
            Matrix { v: v }
        }
        pub fn m(&self) -> usize {
            self.v.len()
        }
        pub fn n(&self) -> usize {
            self.v[0].len()
        }
        pub fn mul_rem(&self, other: &Self, mo: i64) -> Self {
            assert!(self.n() == other.m());
            let K = self.n();
            let M = self.m();
            let N = other.n();
            let mut r = vec![vec![0; N]; M];
            for i in 0..M {
                for j in 0..N {
                    let mut v = 0;
                    for k in 0..K {
                        v += self.v[i][k] * other.v[k][j] % mo;
                        v %= mo;
                    }
                    r[i][j] = v;
                }
            }
            Matrix { v: r }
        }
        pub fn pow(&self, k: u64, mo: i64) -> Self {
            assert!(self.m() == self.n());
            let mut k = k;
            let mut x = Self::identity(self.m());
            let mut y = self.clone();
            while k > 0 {
                if k & 1 > 0 {
                    x = y.mul_rem(&x, mo);
                    x %= mo;
                }
                y = y.mul_rem(&y, mo);
                y %= mo;
                k >>= 1;
            }
            x
        }
    }

    use std::ops::*;

    impl Add for Matrix {
        type Output = Self;
        fn add(self, other: Self) -> Self {
            let mut r = self.v.clone();
            for i in 0..self.m() {
                for j in 0..self.n() {
                    r[i][j] += other.v[i][j];
                }
            }
            Matrix { v: r }
        }
    }
    impl Sub for Matrix {
        type Output = Self;
        fn sub(self, other: Self) -> Self {
            let mut r = self.v.clone();
            for i in 0..self.m() {
                for j in 0..self.n() {
                    r[i][j] -= other.v[i][j];
                }
            }
            Matrix { v: r }
        }
    }
    impl Mul for Matrix {
        type Output = Self;
        fn mul(self, other: Self) -> Self {
            assert!(self.n() == other.m());
            let K = self.n();
            let M = self.m();
            let N = other.n();
            let mut r = vec![vec![0; N]; M];
            for i in 0..M {
                for j in 0..N {
                    let mut v = 0;
                    for k in 0..K {
                        v += self.v[i][k] * other.v[k][j];
                    }
                    r[i][j] = v;
                }
            }
            Matrix { v: r }
        }
    }
    impl Rem<i64> for Matrix {
        type Output = Self;
        fn rem(self, mo: i64) -> Self {
            let mut r = self.v.clone();
            for i in 0..self.m() {
                for j in 0..self.n() {
                    r[i][j] %= mo;
                }
            }
            Matrix { v: r }
        }
    }
    impl RemAssign<i64> for Matrix {
        fn rem_assign(&mut self, mo: i64) {
            for i in 0..self.m() {
                for j in 0..self.n() {
                    self.v[i][j] %= mo;
                }
            }
        }
    }
}
pub type Matrix = matrix::Matrix;
fn solve() {
    let (n, m, t) = readuuu();
    let mut graph = vec![vec![(0 as usize, 0 as usize); (0) as usize]; (n) as usize];
    for i in 0..m {
        let (mut a, mut b) = readuu();
        graph[a].push((b, 1));
        graph[b].push((a, 1));
    }
    let mut vv = vec![vec![0 as i64; (n) as usize]; (n) as usize];

    for v in 0..n {
        for (u, w) in &graph[v] {
            vv[v][*u] += 1;
        }
    }
    let mut m = Matrix { v: vv };
    let m = m.pow(t as u64, MOD);
    let mut a = vec![vec![0 as i64; (1) as usize]; (n) as usize];
    a[0][0] = 1;
    let aa = Matrix { v: a };
    // println!("{:?}", m.v.clone());
    let p = m * aa;
    println!("{:?}", p.v[0][0]);

    return;
}

fn main() {
    solve();
}