import numpy as np

MOD = 10 ** 9 + 7
int1 = lambda x: int(x) - 1


def pow_matrix_mod(x, n, mod=MOD):
    if not n:
        return np.eye(len(x), dtype=np.object)
    if n % 2 == 0:
        return pow_matrix_mod(x @ x % mod, n // 2) % mod
    else:
        return x @ pow_matrix_mod(x @ x % mod, (n - 1) // 2) % mod


K, M, N = map(int, input().split())
matr = np.zeros((36, 36), dtype=np.object)
for _ in range(M):
    P, Q, R = map(int1, input().split())
    matr[6 * P + Q, 6 * Q + R] = True

A = np.zeros(36, dtype=np.object)
A[:6] = 1
print((A @ pow_matrix_mod(matr, N - 2))[::6].sum() % MOD)