import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
import numpy as np

k,m,n = map(int,readline().split())
pqr = list(map(int,read().split()))
mod = 10**9+7

mat = np.zeros((36,36), dtype=np.int64)
it = iter(pqr)
for p,q,r in zip(it,it,it):
    p,q,r = p-1,q-1,r-1
    mat[(p*6+q),(q*6+r)] = 1

def dot_mod(a,b):
    res = np.dot(a,b)
    res %= mod
    return res

mat_ex = [mat]
for i in range(65):
    mat_ex.append( dot_mod(mat_ex[-1],mat_ex[-1]) )

mat_n = np.zeros((36,36), dtype=np.int64)
for i in range(36):
    mat_n[i,i] = 1

x = n-2
for i in range(65):
    if((x>>i)&1):
        mat_n = dot_mod(mat_n,mat_ex[i])

ans = 0
for i in range(6):
    for j in range(6):
        ans += mat_n[i][6*j]
        ans %= mod

print(ans)