#include <iostream>
#include <vector>
#include <algorithm>
#include <cmath>
#include <string>
#include <queue>
#include <stack>
#include <set>
#include <map>
#include <iomanip>
#include <utility>
#include <tuple>
#include <functional>
#include <bitset>
#include <cassert>
#include <complex>
#include <stdio.h>
#include <time.h>
#include <numeric>
#include <random>
#include <unordered_map>
#include <unordered_set>
#define all(a) a.begin(),a.end()
#define rep(i, n) for (ll i = 0; i < (n); i++)
#define pb push_back
#define debug(x) cerr << #x << ':' << x << '\n';
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef pair<ll, ll> P;
typedef complex<ld> com;
constexpr int inf = 1000000010;
constexpr ll INF = 1000000000000000010;
constexpr ld eps = 1e-12;
constexpr ld pi = 3.141592653589793238;
template<class T, class U> inline bool chmax(T &a, const U &b) { if (a < b) { a = b; return true; } return false; }
template<class T, class U> inline bool chmin(T &a, const U &b) { if (a > b) { a = b; return true; } return false; }

constexpr ll mod = 1000000007;

vector<vector<ll>> mat_mul(vector<vector<ll>> a, vector<vector<ll>> b) {
	int n = a.size();
	vector<vector<ll>> ans(n, vector<ll>(n));
	for (int i = 0; i < n; i++) {
		for (int j = 0; j < n; j++) {
			for (int k = 0; k < n; k++) {
				ans[i][j] += a[i][k] * b[k][j];
				ans[i][j] %= mod;
			}
		}
	}
	return ans;
}

vector<vector<ll>> mat_pow(vector<vector<ll>> a, ll b) {
	int n = a.size();
	vector<vector<ll>> ans(n, vector<ll>(n));
	for (int i = 0; i < n; i++) ans[i][i] = 1;
	while (b) {
		if (b & 1) ans = mat_mul(ans, a);
		a = mat_mul(a, a);
		b >>= 1;
	}
	return ans;
}

struct str {
	int x, y, z;
};

int main() {
	cin.tie(0);
	ios::sync_with_stdio(false);
	cout << fixed << setprecision(20);

	ll k, m, n;
	cin >> k >> m >> n;
	vector<vector<ll>> mat(216, vector<ll>(216));
	vector<ll> cnt(216);
	vector<str> a(m);
	rep(i, m) {
		int p, q, r;
		cin >> p >> q >> r;
		p--; q--; r--;
		a[i] = { p,q,r };
		if (!p) cnt[6 * q + r]++;
	}
	rep(i, m) {
		rep(j, m) {
			if (a[i].y == a[j].x && a[i].z == a[j].y) {
				int numi = 36 * a[i].x + 6 * a[i].y + a[i].z;
				int numj = 36 * a[j].x + 6 * a[j].y + a[j].z;
				mat[numj][numi]++;
			}
		}
	}
	mat = mat_pow(mat, n - 3);
	ll ans = 0;
	rep(i, 216) {
		rep(j, 216) {
			if (i % 6 == 0) ans += mat[i][j] * cnt[j] % mod;
		}
	}
	cout << ans % mod << '\n';
}