#!/usr/bin/env python3

import sys
input=sys.stdin.readline

mod=10**9+7

def calc(mat1,mat2):
    n=len(mat1)
    ret=[[0]*n for _ in range(n)]
    for i in range(n):
        for j in range(n):
            tmp=0
            for k in range(n):
                tmp+=mat1[i][k]*mat2[k][j]
                tmp%=mod
            ret[i][j]=tmp
    return ret

k,m,n=map(int,input().split())
n-=3
edge=[list(map(int,input().split())) for _ in range(m)]
mat=[[0]*m for _ in range(m)]
flag1=[0]*m
flag2=[0]*m
for i in range(m):
    if edge[i][0]==1:
        flag1[i]=1
    if edge[i][2]==1:
        flag2[i]=1
for i in range(m):
    for j in range(m):
        if edge[i][1]==edge[j][0] and edge[i][2]==edge[j][1]:
            mat[i][j]=1
tmp=[[0]*m for _ in range(m)]
for i in range(m):
    tmp[i][i]=1
for i in range(60):
    if n&(1<<i):
        tmp=calc(tmp,mat)
    mat=calc(mat,mat)
ans=0
for i in range(m):
    if flag1[i]==0:
        continue
    for j in range(m):
        if flag2[j]==0:
            continue
        ans+=tmp[i][j]
        ans%-mod
print(ans)