#!/usr/bin/env python3 from collections import defaultdict from sys import stdin, stdout def input(): return stdin.readline().strip() N, M, K = input().split(' ') N = int(N) M = int(M) K = int(K) from functools import lru_cache @lru_cache(None) def ans(length, last, target): # how many length-`length` progressions are there with last chord `last` and complexity `target` if length == 1: if target == 0: return 1 return 0 if target < 0: return 0 ret = 0 for (prev, cost) in neighbours[last]: ret += ans(length-1, prev, target-cost) return ret neighbours = defaultdict(set) for _ in range(M): P, Q, C = input().split(' ') P = int(P) Q = int(Q) C = int(C) neighbours[Q].add((P, C)) ret = sum(ans(N, v, K) for v in range(1, M+1)) MODULUS = 10**9+7 if ret >= MODULUS: assert(False) else: print(ret)