def Matprod(A, B, mod, N):
    temp = [0] * N*N
    for i in range(N):
        for j in range(N):
            ij = i * N + j
            for k in range(N):
                temp[ij] += A[i*N+k] * B[k*N+j]
                temp[ij] %= mod
    return temp

def Matpow_Linear(A, M, mod, N):
    Mat = [0] * N*N
    for i in range(N):
        Mat[i*N+i] = 1
         
    while M:
        if M & 1:
            Mat = Matprod(Mat, A, mod, N)
        A = Matprod(A, A, mod, N)
        M >>= 1
    return Mat  

K, M, N = map(int, input().split())
D = [[[0] * K for _ in range(K)] for _ in range(K)] 
for i in range(M):
    P, Q, R = map(int, input().split())
    D[P-1][Q-1][R-1] = 1

K2 = K * K
Mat = [0] * K2 * K2 
for p in range(K):
    for q in range(K):
        for r in range(K):
            if not D[p][q][r]:
                continue
            Mat[(r*K+q)*K2 + q*K+p] = 1

mod = 10 ** 9 + 7
Mat = Matpow_Linear(Mat, N - 2, mod, K2)
ans = 0
for i in range(K):
    for j in range(K2):
        if j % K:
            continue
        ans += Mat[i*K2+j]
        ans %= mod

print(ans)