import sys
input = sys.stdin.buffer.readline

def main():

    k, m, n = map(int, input().split())
    #mod =10**9+7
    PQR = []
    for i in range(m):
        p, q, r = map(int, input().split())
        p, q, r = p-1, q-1, r-1
        PQR.append((p, q, r))

    if n == 3:
        ans = 0
        for i in range(m):
            p1, q1, r1 = PQR[i]
            if p1 == 0 and r1 == 0:
                ans += 1
        print(ans)
        exit()


    A = [[0]*m for _ in range(m)]

    for i in range(m):
        p1, q1, r1 = PQR[i]
        for j in range(m):
            p2, q2, r2 = PQR[j]
            if q1 == p2 and r1 == q2:
                A[i][j] = 1

    C = [[0]*m for _ in range(m)]
    for i in range(m):
        p1, q1, r1 = PQR[i]
        if p1 != 0:
            continue
        for j in range(m):
            p2, q2, r2 = PQR[j]
            if q1 == p2 and r1 == q2:
                C[i][j] = 1

    # A*B
    def mul(a, b):
        c = [[0]*len(b[0]) for i 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

    #A**n
    def pow(a, n):
        b = [[0]*len(a) for i in range(len(a))]
        for i in range(len(a)):
            b[i][i] = 1
        while n > 0:
            if n & 1 == 1:
                b = mul(a, b)
            a = mul(a, a)
            n = n>>1
        return b

    #print(C)

    B = pow(A, n-4)
    B = mul(C, B)
    #print(B)
    ans = 0
    for i in range(m):
        p1, q1, r1 = PQR[i]
        if r1 == 0:
            for j in range(m):
                ans += B[j][i]
            #ans %= mod
    print(ans%mod)

if __name__ == '__main__':
    mod =10**9+7
    main()