#[allow(unused_imports)]
use std::{
    convert::{Infallible, TryFrom, TryInto as _}, fmt::{self, Debug, Display, Formatter,},
    fs::File, hash::{Hash, Hasher, BuildHasherDefault}, iter::{Product, Sum}, marker::PhantomData,
    ops::{Add, AddAssign, Sub, SubAssign, Div, DivAssign, Mul, MulAssign, Neg, RangeBounds},
    str::FromStr, sync::{atomic::{self, AtomicU32, AtomicU64}, Once},
    collections::{*, btree_set::Range, btree_map::Range as BTreeRange}, mem::{swap},
    cmp::{self, Reverse, Ordering, Eq, PartialEq, PartialOrd},
    thread::LocalKey, f64::consts::PI, time::Instant, cell::RefCell,
    io::{self, stdin, Read, read_to_string, BufWriter, BufReader, stdout, Write},
};
pub mod fxhash {
    use std::hash::BuildHasherDefault;
    const K: u64 = 0x517c_c1b7_2722_0a95;
    #[derive(Default)]
    pub struct FxHasher {
        pub hash: u64,
    }
    impl FxHasher {
        #[inline(always)]
        fn mix_u64(mut h: u64, x: u64) -> u64 {
            h = h.rotate_left(5) ^ x;
            h = h.wrapping_mul(K);
            let x2 = x ^ (x >> 33) ^ (x << 11);
            h = h.rotate_left(5) ^ x2;
            h = h.wrapping_mul(K);
            h
        }

        #[inline(always)]
        fn write_u64_impl(&mut self, x: u64) {
            self.hash = Self::mix_u64(self.hash, x);
        }
    }

    impl std::hash::Hasher for FxHasher {
        #[inline(always)]
        fn finish(&self) -> u64 {
            self.hash
        }

        #[inline(always)]
        fn write(&mut self, bytes: &[u8]) {
            let mut h = self.hash;
            for &b in bytes {
                h = h.rotate_left(5) ^ (b as u64);
                h = h.wrapping_mul(K);
            }
            self.hash = h;
        }

        #[inline(always)]
        fn write_u64(&mut self, i: u64) { self.write_u64_impl(i); }
        #[inline(always)]
        fn write_u32(&mut self, i: u32) { self.write_u64_impl(i as u64); }
        #[inline(always)]
        fn write_u16(&mut self, i: u16) { self.write_u64_impl(i as u64); }
        #[inline(always)]
        fn write_u8 (&mut self, i: u8 ) { self.write_u64_impl(i as u64); }
        #[inline(always)]
        fn write_usize(&mut self, i: usize) { self.write_u64_impl(i as u64); }
        #[inline(always)]
        fn write_i64(&mut self, i: i64) { self.write_u64_impl(i as u64); }
        #[inline(always)]
        fn write_i32(&mut self, i: i32) { self.write_u64_impl(i as u64); }
        #[inline(always)]
        fn write_i16(&mut self, i: i16) { self.write_u64_impl(i as u64); }
        #[inline(always)]
        fn write_i8 (&mut self, i: i8 ) { self.write_u64_impl(i as u64); }
        #[inline(always)]
        fn write_isize(&mut self, i: isize) { self.write_u64_impl(i as u64); }
    }

    pub type FxBuildHasher = BuildHasherDefault<FxHasher>;
    pub type FxMap<K, V> = std::collections::HashMap<K, V, FxBuildHasher>;
    pub type FxSet<K> = std::collections::HashSet<K, FxBuildHasher>;
}

pub fn gcd(mut a: i64, mut b: i64)->i64{if a==0{return b;}else if b==0{return a;}let l1 = a.trailing_zeros();let l2 = b.trailing_zeros();
a >>= l1; b >>= l2;while a!=b{let x = (a^b).trailing_zeros();if a<b{swap(&mut a, &mut b)}a = (a-b)>>x;}a << l1.min(l2)}
pub fn factorial_i64(n: usize)->(Vec<i64>, Vec<i64>){ 
    let mut res = vec![1; n+1];let mut inv = vec![1; n+1];for i in 0..n{ res[i+1] = (res[i]*(i+1)as i64)%MOD; }
    inv[n] = mod_inverse(res[n], MOD);for i in (0..n).rev(){ inv[i] = inv[i+1]*(i+1) as i64%MOD; }(res, inv) }
pub fn floor(a:i64, b:i64)->i64{let res=(a%b+b)%b;(a-res)/b}
pub fn modulo(a: i64, b: i64)->i64{(a%b+b)%b}
pub fn extended_gcd(a:i64,b:i64)->(i64,i64,i64)
{if b==0{(a,1,0)}else{let(g,x,y)=extended_gcd(b,a%b);(g,y,x-floor(a,b)*y)}}
pub fn mod_inverse(a:i64,m:i64)->i64{let(_,x,_) =extended_gcd(a,m);(x%m+m)%m}
pub fn comb(a: i64, b: i64, f: &Vec<(i64, i64)>)->i64{
    if a<b{return 0;}else if b==0 || a==b{ return 1; }
    else{let x=f[a as usize].0;
        let y=f[(a-b) as usize].1;let z=f[b as usize].1;return((x*y)%MOD)*z%MOD;}}
pub fn factorial(x: i64)->Vec<(i64, i64)>{
    let mut f=vec![(1i64,1i64),(1, 1)];let mut z = 1i64;
    let mut inv = vec![0; x as usize+10];inv[1] = 1;
    for i in 2..x+1{z=(z*i)%MOD;
        let w=(MOD-inv[(MOD%i)as usize]*(MOD/i)%MOD)%MOD;
        inv[i as usize] = w;
        f.push((z, (f[i as usize-1].1*w)%MOD));}return f;}
pub fn fast_mod_pow(mut x: i64,p: usize, m: i64)->i64{
    x %= m;
    let mut res=1;let mut t=x;let mut z=p;while z > 0{
        if z%2==1{res = (res*t)%m;}t = (t*t)%m;z /= 2; }res}

pub trait SortD{ fn sort_d(&mut self); }
impl<T: Ord> SortD for Vec<T>{ fn sort_d(&mut self) {self.sort_by(|u, v| v.cmp(&u));} }
pub trait Mx{fn max(&self, rhs: Self)->Self;}
impl Mx for f64{ fn max(&self, rhs: Self)->Self{if *self < rhs{ rhs } else { *self } }}
pub trait Mi{ fn min(&self, rhs: Self)->Self; }
impl Mi for f64{ fn min(&self, rhs: Self)->Self{ if *self > rhs{ rhs } else { *self } } }
pub trait Chmax: PartialOrd + Copy {fn chmax(&mut self, rhs: Self) {if *self < rhs { *self = rhs; }}}
impl<T: PartialOrd + Copy> Chmax for T {}
pub trait Chmin: PartialOrd + Copy {fn chmin(&mut self, rhs: Self) {if *self > rhs { *self = rhs; }}}
impl<T: PartialOrd + Copy> Chmin for T {}
#[allow(unused)]
use proconio::{*, marker::*};
#[allow(unused)]
use fxhash::FxMap;

#[allow(dead_code)]
const INF: i64 = 1<<60;
#[allow(dead_code)]
const I: i32 = 1<<30;
#[allow(dead_code)]
const MOD: i64 = 998244353;
#[allow(dead_code)]
const D: [(usize, usize); 4] = [(1, 0), (0, 1), (!0, 0), (0, !0)];
#[allow(dead_code)]
pub fn c2d(c: u8)->(usize, usize){match c{b'U'=>(!0,0),b'D'=>(1,0),b'L'=>(0,!0),b'R'=>(0,1),_=>unreachable!()}}
#[allow(dead_code)]
pub fn c2d_i64(c: u8)->(i64, i64){match c{b'U'=>(-1,0),b'D'=>(1,0),b'L'=>(0,-1),b'R'=>(0,1),_=>unreachable!()}}
#[allow(dead_code)]
const D2: [(usize, usize); 8] = [(1, 0), (1, 1), (0, 1), (!0, 1), (!0, 0), (!0, !0), (0, !0), (1, !0)];

pub trait MatrixMonoid {
    type S: Clone;
    fn one()->Self::S;
    fn mul(a: &Self::S, b: &Self::S)->Self::S;
    fn zero()->Self::S;
    fn sum(a: &Self::S, b: &Self::S)->Self::S;
}

#[derive(Debug)]
pub struct DoublingMatrix<M> where M: MatrixMonoid{
    n: usize,
    g: Vec<M::S>,
}
impl<M> Clone for DoublingMatrix<M>
where
    M: MatrixMonoid,
    M::S: Clone,
{
    #[inline]
    fn clone(&self) -> Self {
        Self { n: self.n, g: self.g.clone() }
    }
}
impl<M> DoublingMatrix<M> where M: MatrixMonoid{
    #[inline]
    pub fn new(n: usize, a: &Vec<M::S>)->Self{
        DoublingMatrix {n, g: a.clone() }
    }

    #[inline]
    pub fn zeros(n: usize)->Self{
        DoublingMatrix { n, g: vec![M::zero(); n*n] }
    }

    #[inline]
    pub fn e(n: usize)->Self{
        let mut res = Self::zeros(n);
        for i in 0..n{
            res.set(i, i, M::one());
        }
        res
    }

    #[inline]
    pub fn get(&self, i: usize, j: usize)-> &M::S{
        &self.g[i*self.n+j]
    }

    #[inline]
    pub fn set(&mut self, i: usize, j: usize, v: M::S){
        self.g[i*self.n+j] = v;
    }

    #[inline(always)]
    pub fn prod(&self, rhs: &Self)->Self{
        let n = self.n;
        let mut res = vec![M::zero(); n*n];
        for i in 0..n {
            let a_row = &self.g[i * n .. (i + 1) * n];
            let out_row = &mut res[i * n .. (i + 1) * n];
            for k in 0..n {
                let a = &a_row[k];
                let b_row = &rhs.g[k * n .. (k + 1) * n];
                for j in 0..n {
                    let addend = M::mul(a, &b_row[j]);
                    out_row[j] = M::sum(&out_row[j], &addend);
                }
            }
        }
        Self {n, g:res}
    }

    #[inline]
    pub fn pow(&self, mut k: usize)->Self {
        let n = self.n;
        let mut res = Self::e(n);
        let mut r = (*self).clone();
        while k > 0 {
            if (k & 1) == 1 {
                res = res.prod(&r);
            }
            k >>= 1;
            if k > 0 {
                r = r.prod(&r);
            }
        }
        res
    }
}

pub struct AddMulMonoid;
impl MatrixMonoid for AddMulMonoid{
    type S = i64;

    fn zero()->Self::S {
        0
    }

    fn one()->Self::S {
        1
    }

    fn sum(&a: &Self::S, &b: &Self::S)->Self::S {
        if a+b < MOD{a+b}else{a+b-MOD}
    }

    fn mul(a: &Self::S, b: &Self::S)->Self::S {
        a*b%MOD
    }
}

pub struct MinPlusMonoid;
impl MatrixMonoid for MinPlusMonoid{
    type S = i64;

    fn zero()->Self::S {
        1<<60
    }

    fn one()->Self::S {
        0
    }

    fn sum(&a: &Self::S, &b: &Self::S)->Self::S {
        a.min(b)
    }

    fn mul(&a: &Self::S, &b: &Self::S)->Self::S {
        a+b
    }
}

struct MM;
impl MatrixMonoid for MM{
    type S = i32;

    fn sum(&a: &Self::S, &b: &Self::S)->Self::S {
        a|b
    }

    fn one()->Self::S {
        1
    }

    fn mul(&a: &Self::S, &b: &Self::S)->Self::S {
        a&b
    }

    fn zero()->Self::S {
        0
    }
}

const MULTI: bool = false;
//#[fastout]
fn solve(){
    input!{
        n: usize, m: usize, t: usize,
        e: [(usize, usize); m],
    }
    let mut base = vec![0;n*n];
    for &(u, v) in &e{
        base[u*n+v] = 1;
    }
    let mut mat = DoublingMatrix::<MM>::new(n, &base);
    mat = mat.pow(t);
    let mut ans = 0;
    for j in 0..n{
        if *mat.get(0, j) > 0{ans += 1;}
    }
    println!("{}", ans);
}

fn main() {
    if MULTI{
        input!{
            t: usize,
        }
        for _ in 0..t{
            solve();
        }
    } else {
        solve();
    }
}