# 行列の乗算(mod)
def mat_mul(a, b):
    I, K, J = len(a), len(b), len(b[0])
    c = [[0 for j in range(J)] for i in range(I)]
    for i in range(I):
        for k in range(K):
            for j in range(J):
                c[i][j] += a[i][k] * b[k][j]
                c[i][j] %= mod
    return c

# 行列の累乗(mod)
def mat_pow(a, n):
    b = [[0 for j in range(len(a))] for i in range(len(a))]
    for i in range(len(a)):
        b[i][i] = 1
    while n > 0:
        if n & 1:
            b = mat_mul(b, a)
        a = mat_mul(a, a)
        n >>= 1
    return b

K,m,n = map(int,input().split())
mod = 10**9+7

dp = [[0]*(K*K) for i in range(K*K)]

for i in range(m):
    p,q,r = map(int,input().split())
    p -= 1
    q -= 1
    r -= 1
    pq = p*K+q
    qr = q*K+r
    dp[pq][qr] = 1

A = mat_pow(dp,n-2)
ans = 0
for i in range(K):
    for j in range(K):
        ans += A[i][j*K]
        ans %= mod
print(ans)
#print(A)