import numpy as np
import sys

def MI(): return map(int, sys.stdin.readline().split())
def LI(): return list(map(int, sys.stdin.readline().split()))
def LLI(rows_number): return [LI() for _ in range(rows_number)]

def main(n):
    if n == 3:
        ans = 0
        for p, q, r in pqr:
            if p == 1 and r == 1: ans += 1
        print(ans)
        exit()

    start = []
    end = []
    to = np.zeros((m, m), dtype=object)
    for i in range(m):
        if pqr[i][0] == 1: start.append(i)
        if pqr[i][2] == 1: end.append(i)
        for j in range(m):
            if pqr[i][1:] == pqr[j][:2]: to[i][j] = 1
    # print(to)
    cnt = np.eye(m, dtype=object)
    n -= 3
    while n:
        if n & 1: cnt = np.dot(cnt, to) % md
        to = np.dot(to, to) % md
        n >>= 1
    # print(cnt)

    ans = 0
    for s in start:
        for e in end:
            ans += cnt[s][e]
            ans %= md
    print(ans)

md=10**9+7
k,m,n=MI()
pqr=LLI(m)
main(n)