A=10**9+7
N,M,K=map(int,input().split())
S=300
P=[0]*(M+1)
Q=[0]*(M+1)
C=[0]*(M+1)

E=[[] for _ in range(S+1)]
for i in range(M):
    p,q,c=map(int,input().split())
    E[p].append((q,c))
    

H={}
def f(F,R,L):
    """
    F:From
    R:残り複雑度
    L:残りコード数
    """
    
    if (F,R,L) in H:
        return H[(F,R,L)]

    if L==0:
        if R==0:
            return 1
        else:
            return 0
    K=0
    for (q,c) in E[F]:
        K=(K+f(q,R-c,L-1))%A

    H[(F,R,L)]=K
    return K

V=0
for i in range(1,S+1):
    V=(V+f(i,K,N))%A
print((V*500000004)%A)