"""

NFAの状態数
行列べき乗じゃん！！

"""

import sys
from sys import stdin

mod = 998244353

#行列A,Bの積(不可能だとエラー,modに0以下の値を指定するとmodを取らなくなる)
def matrix_mul(A,B):
 
    ans = [ [0] * len(B[0]) for i in range(len(A)) ]
 
    for ai in range(len(A)):
 
        for bj in range(len(B[0])):
 
            now = 0
            for same in range(len(A[0])):
                now |= A[ai][same] & B[same][bj]
            ans[ai][bj] = now
    return ans
 
#行列Aのx乗(当然正方行列じゃないとだめ)
def matrix_pow(A,x):
 
    B = [[A[i][j] for j in range(len(A[0]))] for i in range(len(A))]
    ans = [[0] * len(A[0]) for i in range(len(A))]
    for i in range(len(A)):
        ans[i][i] = 1
 
    while x > 0:
        if x % 2 == 1:
            ans = matrix_mul(ans,B)
        B = matrix_mul(B,B)
 
        x//=2
    return ans

N,M,T = map(int,stdin.readline().split())

H = [[0] * N for i in range(N)]
for i in range(M):
    a,b = map(int,stdin.readline().split())
    a -= 1
    b -= 1
    H[a][b] = 1

A = [[0] * N]
A[0][0] = 1

ans = matrix_mul(A,matrix_pow(H,T))
#print (ans)
print (sum(ans[0]))