import sys
def MI(): return map(int,sys.stdin.readline().rstrip().split())


def matrix_multiplication_mod(A,B,p):
    l = len(A)
    m = len(B)
    n = len(B[0])
    C = [[0]*n for _ in range(l)]
    for i in range(l):
        for j in range(n):
            C[i][j] = sum((A[i][k]*B[k][j]) % p for k in range(m)) % p
    return C


def matrix_power_mod(A,n,p):
    l = len(A)
    C = [[0] * l for _ in range(l)]
    for i in range(l):
        C[i][i] = 1
    while n > 0:
        if n % 2 == 1:
            C = matrix_multiplication_mod(C,A,p)
        A = matrix_multiplication_mod(A,A,p)
        n >>= 1
    return C


K,M,N = MI()
mod = 10**9+7
PQR = set([tuple(MI()) for _ in range(M)])

A = [[0]*(K**2) for _ in range(K**2)]
for i in range(K**2):
    i0,i1 = divmod(i,K)
    for j in range(K**2):
        j0,j1 = divmod(j,K)
        if i0 != j1:
            continue
        if (j0+1,i0+1,i1+1) in PQR:
            A[i][j] = 1

X = matrix_power_mod(A,N-2,mod)

ans = 0
for i in range(0,K**2,K):
    for j in range(K):
        ans += X[i][j]
        ans % mod

print(ans)