#include <bits/stdc++.h>
using namespace std;

const long long mod = 1000000007;

vector<vector<long long>> matmul(vector<vector<long long>> a, vector<vector<long long>> b) {
    int s = a.size();
    vector<vector<long long>> c(s, vector<long long>(s));
    for (int i = 0; i < s; i++) {
        for (int j = 0; j < s; j++) {
            for (int k = 0; k < s; k++) {
                c.at(i).at(k) += a.at(i).at(j) * b.at(j).at(k);
                c.at(i).at(k) %= mod;
            }
        }
    }
    return c;
}

vector<long long> vecmul(vector<vector<long long>> a, vector<long long> x) {
    int s = x.size();
    vector<long long> ans(s);
    for (int i = 0; i < s; i++) {
        for (int j = 0; j < s; j++) {
            ans.at(i) += a.at(i).at(j) * x.at(j);
            ans.at(i) %= mod;
        }
    }
    return ans;
}

int main() {
    long long k, m, n;
    cin >> k >> m >> n;
    vector<vector<long long>> mat(k * k, vector<long long>(k * k));
    vector<long long> x(k * k);
    for (int i = 0; i < m; i++) {
        int p, q, r;
        cin >> p >> q >> r;
        p--; q--; r--;
        mat.at(q * k + r).at(p * k + q) = 1;
        if (p == 0) {
            x.at(p * k + q) = 1;
        }
    }
    vector<vector<long long>> newmat(k * k, vector<long long>(k * k));
    for (int i = 0; i < k * k; i++) {
        newmat.at(i).at(i) = 1;
    }
    for (long long i = n - 2; i; i /= 2) {
        if (i & 1) newmat = matmul(newmat, mat);
        mat = matmul(mat, mat);
    }
    x = vecmul(newmat, x);
    long long ans = 0;
    for (int i = 0; i < k; i++) {
        ans += x.at(i * k);
        ans %= mod;
    }
    cout << ans << endl;
}