def aa(mat,n):
    global k,mod
    ans=[[0]*k**2 for i in range(k**2)]
    for i in range(k):
        ans[0][i]=1
    while n:
        if n&1:
            ans=bb(ans,mat)
        n>>=1;mat=bb(mat,mat)
    res=0
    for i in range(k):
        for j in range(k):
            res+=ans[i][j*k]
    print(res%mod)
def bb(q,w):
    global k,mod
    res=[[0]*k**2 for i in range(k**2)]
    for i in range(k**2):
        for j in range(k**2):
            for l in range(k**2):
                res[j][l]+=q[j][i]*w[i][l]%mod
                res[j][l]%=mod
    return res


k,m,n=map(int,input().split());mod=10**9+7
mat=[[0]*k**2 for i in range(k**2)]
for i in range(m):
    a,b,c=map(int,input().split())
    mat[(a-1)*k+b-1][(b-1)*k+c-1]+=1
aa(mat,n-2)