import sys
import io, os
input = sys.stdin.buffer.readline

mod = 10**9+7

import numpy as np

#A**n
def mat_pow(A, n, mod):
    size = len(A)
    res = np.eye(size, dtype=np.object)
    while n > 0:
        if n & 1 == 1:
            res = res @ A
            res %= mod
        A = A @ A
        A %= mod
        n = n>>1
    return res

k, m, n = map(int, input().split())
PQR = []
for i in range(m):
    p, q, r = map(int, input().split())
    p, q, r = p-1, q-1, r-1
    PQR.append((p, q, r))

#A = [[0]*(k**2) for i in range(k**2)]
A = np.zeros((k**2, k**2), dtype=np.object)
for i in range(m):
    p, q, r = PQR[i]
    u = p*k+q
    v = q*k+r
    A[u][v] += 1

A = mat_pow(A, n-2, mod)
ans = 0
for i in range(k):
    v = 0*k+i
    for j in range(k):
        u = j*k+0
        ans += A[v][u]
#print(A)
print(ans%mod)