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

MOD = 10**9+7
def mat_dot(one, two, mod):
	return [[sum([(one[i][k]*two[k][j])%mod for k in range(max(len(two), len(one[0])))])%mod for j in range(len(two[0]))] for i in range(len(one))]

def mat_pow(mat, exp, mod):
	size = len(mat)
	res = [[0 for _ in range(size)] for _ in range(size)]
	for i in range(size):
		res[i][i] = 1
	cnt = 0
	while (1<<cnt) <= exp:
		if (exp>>cnt)&1:
			res = mat_dot(res, mat, mod)
		mat = mat_dot(mat, mat, mod)
		cnt += 1
	return res

k, m, n = map(int, input().split())
pre = [0 for _ in range(k*k)]
for i in range(k):
	pre[i] = 1
mat = [[0 for _ in range(k*k)] for _ in range(k*k)]
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, MOD)
ans = 0
for i in range(k):
	for j in range(k*k):
		ans += pre[j] * res[i*k][j]
		ans %= MOD
print(ans)