using System;
using static System.Console;
using System.Linq;
using System.Collections.Generic;

class Program
{
    static int NN => int.Parse(ReadLine());
    static int[] NList => ReadLine().Split().Select(int.Parse).ToArray();
    static int[][] NArr(long n) => Enumerable.Repeat(0, (int)n).Select(_ => NList).ToArray();
    public static void Main()
    {
        Solve();
    }
    static void Solve()
    {
        var c = ReadLine().Split();
        var (k, m, n) = (int.Parse(c[0]), int.Parse(c[1]), long.Parse(c[2]));
        var map = NArr(m);

        var mod = 1_000_000_007;
        var a = new long[1][];
        a[0] = new long[k * k];
        for (var i = 0; i < k; ++i) a[0][i] = 1;
        var x = new long[k * k][];
        for (var i = 0; i < x.Length; ++i) x[i] = new long[k * k];
        foreach (var edge in map)
        {
            var p = edge[0] - 1;
            var q = edge[1] - 1;
            var r = edge[2] - 1;
            x[p * k + q][q * k + r] = 1;
        }
        var b = Matrix.Mul(a, Matrix.Pow(x, n - 2));
        var ans = 0L;
        for (var i = 0; i < k; ++i) ans += b[0][k * i];
        WriteLine(ans % mod);
    }
    class Matrix
    {
        static int mod = 1_000_000_007;
        // 行列の累乗
        public static long[][] Pow(long[][] m, long k)
        {
            var multi = m;
            var r = new long[m.Length][];
            for (var i = 0; i < m.Length; ++i)
            {
                r[i] = new long[m.Length];
                r[i][i] = 1;
            }
            while (k > 0)
            {
                if ((k & 1) == 1) r = Mul(r, multi);
                multi = Mul(multi, multi);
                k >>= 1;
            }
            return r;
        }
        // 行列の積
        public static long[][] Mul(long[][] x, long[][] y)
        {
            var r = new long[x.Length][];
            for (var i = 0; i < x.Length; ++i) r[i] = new long[y[0].Length];
            for (var i = 0; i < x.Length; ++i) for (var k = 0; k < x[0].Length; ++k)
            {
                for (var j = 0; j < y[0].Length; ++j) r[i][j] = (r[i][j] + x[i][k] * y[k][j]) % mod;
            }
            return r;
        }
    }
}