import java.io.*;
import java.util.*;

public class Main {
    static final int MOD = 1000000007;
    public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner();
        int k = sc.nextInt();
        int m = sc.nextInt();
        long n = sc.nextLong() - 2;
        long[][][] matrix = new long[60][k * k][k * k];
        for (int i = 0; i < m; i++) {
            int p = sc.nextInt() - 1;
            int q = sc.nextInt() - 1;
            int r = sc.nextInt() - 1;
            matrix[0][q * k + r][p * k + q] = 1;
        }
        for (int i = 1; i < 60; i++) {
            for (int a = 0; a < k * k; a++) {
                for (int b = 0; b < k * k; b++) {
                    for (int c = 0; c < k * k; c++) {
                        matrix[i][a][c] += matrix[i - 1][a][b] * matrix[i - 1][b][c];
                        matrix[i][a][c] %= MOD;
                    }
                }
            }
        }
        long[] ans = new long[k * k];
        for (int i = 0; i < k; i++) {
            ans[i] = 1;
        }
        for (int i = 59; i >= 0; i--) {
            if (n < (1L << i)) {
                continue;
            }
            n -= (1L << i);
            long[] nexts = new long[k * k];
            for (int a = 0; a < k * k; a++) {
                for (int b = 0; b < k * k; b++) {
                    nexts[a] += matrix[i][a][b] * ans[b] % MOD;
                    nexts[a] %= MOD;
                }
            }
            ans = nexts;
        }
        long result = 0;
        for (int i = 0; i < k * k; i += k) {
            result += ans[i];
            result %= MOD;
        }
        System.out.println(result);
    }
    
}
class Scanner {
    BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    StringTokenizer st = new StringTokenizer("");
    StringBuilder sb = new StringBuilder();
    
    public Scanner() throws Exception {
        
    }
    
    public int nextInt() throws Exception {
        return Integer.parseInt(next());
    }
    
    public long nextLong() throws Exception {
        return Long.parseLong(next());
    }
    
    public double nextDouble() throws Exception {
        return Double.parseDouble(next());
    }
    
    public String next() throws Exception {
        while (!st.hasMoreTokens()) {
            st = new StringTokenizer(br.readLine());
        }
        return st.nextToken();
    }
    
}