typedef long long ll;
typedef long double ld;
#include <bits/stdc++.h>
using namespace std;
const ll MOD = 1e9+7;
vector<vector<ll>> edges(40,vector<ll>(40,0));
ll k;
vector<vector<ll>> rui(ll x){
    if(x==1) return edges;
    auto x1 = edges;
    auto x2 = edges;
    if(x%2==1){
        x2 = rui(x-1);
    }else{
        x1 = x2 = rui(x/2);
    }
    vector<vector<ll>> ans(k*k,vector<ll>(k*k,0));
    for (ll i = 0; i < k*k; i++) {
        for (ll j = 0; j < k*k; j++) {
            for (ll ii = 0; ii < k*k; ii++) {
                ans[i][j] += x1[i][ii]*x2[ii][j]%MOD;
                ans[i][j] %= MOD;
            }
        }
    }
    return ans;
}
int main() {
    ll m,n;
    std::cin >> k>>m>>n;
    
    
    for (int i = 0; i < m; i++) {
        ll p,q,r;
        std::cin >> p>>q>>r;
        p--;q--;r--;
        
        edges[k*p+q][k*q+r] = 1;
    }

    auto x3 = rui(n-2);
    ll ans = 0;
    for (int i = 0; i < k; i++) {
        for (int j = 0; j < k; j++) {
            ans += x3[k*i+j][k*j+1]%MOD;
            ans %= MOD;
        }
    }
    std::cout << ans << std::endl;
}