"""

ほぼ同じじゃね？
行列累乗か

1つ目の音*6 + 2つ目の音でキーにする

"""

#行列A,Bの積(不可能だとエラー,modに0以下の値を指定するとmodを取らなくなる)
def matrix_mul(A,B,mod):
 
    ans = [ [0] * len(B[0]) for i in range(len(A)) ]
 
    for ai in range(len(A)):
 
        for bj in range(len(B[0])):
 
            now = 0
            for same in range(len(A[0])):
                now += A[ai][same] * B[same][bj]

            if mod > 0:
                ans[ai][bj] = now % mod
            else:
                ans[ai][bj] = now
 
    return ans
 
#行列Aのx乗(当然正方行列じゃないとだめ)
def matrix_pow(A,x,mod):
 
    B = [[A[i][j] for j in range(len(A[0]))] for i in range(len(A))]
    ans = [[0] * len(A[0]) for i in range(len(A))]
    for i in range(len(A)):
        ans[i][i] = 1
 
    while x > 0:
        if x % 2 == 1:
            ans = matrix_mul(ans,B,mod)
        B = matrix_mul(B,B,mod)
 
        x//=2
    return ans

mod = 10**9+7
K,M,N = map(int,input().split())
fi = [ [0] * 36 ]
for i in range(K):
    fi[0][i] = 1

H = [[0] * 36 for i in range(36)]

for i in range(M):
    P,Q,R = map(int,input().split())
    P -= 1
    Q -= 1
    R -= 1
    
    be = P*6+Q
    ne = Q*6+R
    H[be][ne] = 1

ans = matrix_mul(fi,matrix_pow(H,N-2,mod),mod)
#print (ans)
pr = 0
for i in range(36):
    if i % 6 == 0:
        pr += ans[0][i]
print (pr % mod)