mod = 1000000007
eps = 10**-9


def main():
    import sys
    input = sys.stdin.readline

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

    def matpow(A, p):
        n = len(A)
        B = [[0] * n for _ in range(n)]
        for i in range(n):
            B[i][i] = 1
        while p > 0:
            if p & 1:
                B = matmul(B, A)
            A = matmul(A, A)
            p >>= 1
        return B

    K, M, N = map(int, input().split())
    T = []
    mat = [[0] * (K*K) for _ in range(K*K)]
    for _ in range(M):
        p, q, r = map(int, input().split())
        p -= 1
        q -= 1
        r -= 1
        pre = p + q * K
        post = q + r * K
        mat[post][pre] = 1
    vec = [[0] for _ in range(K*K)]
    for i in range(K):
        vec[i*K][0] = 1
    vec2 = matmul(matpow(mat, N-2), vec)
    ans = 0
    for i in range(K):
        ans = (ans + vec2[i][0])
    print(ans)


if __name__ == '__main__':
    main()