import sys
input = sys.stdin.buffer.readline
sys.setrecursionlimit(10 ** 7)
mod = 10**9+7


def mat_mul(A, B):
    res = [[0] * len(B[0]) for _ in range(len(A))]
    for i in range(len(A)):
        for k in range(len(A[0])):
            for j in range(len(B[0])):
                res[i][j] += A[i][k] * B[k][j]
                res[i][j] %= mod
    return res


def mat_pow(A, n):
    size = len(A)
    res = [[0] * size for _ in range(size)]
    for i in range(size):
        res[i][i] = 1
    while n:
        if n & 1:
            res = mat_mul(res, A)
        A = mat_mul(A, A)
        n >>= 1
    return res


K, M, N = map(int, input().split())
A = [[0]*(K*K) for _ in range(K*K)]
for _ in range(M):
    a, b, c = map(int, input().split())
    a -= 1
    b -= 1
    c -= 1
    s = a*K+b
    t = b*K+c
    A[t][s] += 1

A = mat_pow(A, N-2)
ans = 0
for r in range(0, K*K, K):
    for c in range(K):
        ans += A[r][c]
        ans %= mod
print(ans)