import numpy as np
import sys
def input():
	return sys.stdin.readline()[:-1]

MOD = 10**9+7

def mat_pow(mat, exp):
	size = len(mat)
	res = np.eye(size, dtype=int)
	cnt = 0
	while (1<<cnt) <= exp:
		if (exp>>cnt)&1:
			res = res @ mat
			res %= MOD
		mat = mat @ mat
		mat %= MOD
		cnt += 1
	return res

k, m, n = map(int, input().split())
pre = np.zeros((k*k, 1), dtype=int)
for i in range(k):
	pre[i][0] = 1
mat = np.zeros((k*k, k*k), dtype=int)
for _ in range(m):
	p, q, r = map(int, input().split())
	mat[(q-1)*k + r-1][(p-1)*k + q-1] += 1
res = mat_pow(mat, n-2) @ pre
ans = 0
for i in range(k):
	ans += res[i*k][0]
	ans %= MOD
print(ans)