// ---------- 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, $t)).collect::<Vec<_>>()
    };
    ($iter:expr, chars) => {
        read_value!($iter, String).chars().collect::<Vec<char>>()
    };
    ($iter:expr, bytes) => {
        read_value!($iter, String).bytes().collect::<Vec<u8>>()
    };
    ($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,
        turn: u64,
        e: [(usize, usize); m],
    }
    let mut g = vec![vec![false; n]; n];
    for (a, b) in e {
        g[a][b] = true;
    }
    let mul = |a: &[Vec<bool>], b: &[Vec<bool>]| -> Vec<Vec<bool>> {
        let mut c = vec![vec![false; n]; n];
        for (c, a) in c.iter_mut().zip(a.iter()) {
            for (a, b) in a.iter().zip(b.iter()) {
                for (c, b) in c.iter_mut().zip(b.iter()) {
                    *c |= *a && *b;
                }
            }
        }
        c
    };
    let mut t = vec![vec![false; n]; n];
    for (i, t) in t.iter_mut().enumerate() {
        t[i] = true;
    }
    let mut s = g;
    let mut m = turn;
    while m > 0 {
        if m & 1 == 1 {
            t = mul(&t, &s);
        }
        s = mul(&s, &s);
        m >>= 1;
    }
    let ans = t[0].iter().filter(|p| **p).count();
    println!("{}", ans);
}

fn main() {
    run();
}