import numpy as np
import sys

int1 = lambda x: int(x) - 1
def MI(): return map(int, sys.stdin.readline().split())
def LI(): return list(map(int1, 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 == 0 and r == 0: ans += 1
        print(ans)
        exit()

    to = np.zeros((36, 36), dtype=object)
    #print(pqr)
    for p,q,r in pqr:to[p*6+q][q*6+r]=1
    #print(to)
    cnt = np.eye(36, dtype=object)
    n -= 2
    while n:
        if n & 1: cnt = np.dot(cnt, to) % md
        to = np.dot(to, to) % md
        n >>= 1
    #print(cnt)

    ans = 0
    for i in range(6):
        for j in range(6):
            ans += cnt[i][j*6]
            ans %= md
    print(ans)

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