using System;
using System.Collections.Generic;
using System.Collections;
using System.Collections.Specialized;
using System.Linq;
using System.Text;
using System.IO;
using System.Reflection;
using static System.Math;
using System.Numerics;
//using nint=System.Int32;
static class Program{
	const int mod=(int)1e9+7;
	const double eps=1e-11;
	static void Main(){
		Sc sc=new Sc();
		var s=sc.La;
		int m=6*6;
		var g=new long[m][];
		var b=new long[m][];
		for(int i = 0;i<m;i++) {
			g[i]=new long[m];
			b[i]=new long[1];
		}
		for(int i = 0;i<6;i++) {b[i][0]=1;}
		for(int i = 0;i<s[1];i++) {
			var e=sc.Ia;
			g[(e[1]-1)*6+(e[2]-1)][(e[0]-1)*6+(e[1]-1)]=1;
		}
		var c=Mp(b,g,s[2]-2);
		long ans=0;
		for(int i = 0;i<m;i+=6) {ans=(ans+c[i][0])%mod;}
		Console.WriteLine("{0}",ans);
	}
	static long[][] Mp(long[][] r,long[][] x,long e){
		while(e>0){
			if((e&1)>0){r=Mm(x,r);}
			x=Mm(x,x);
			e>>=1;
		}
		return r;
	}
	static long[][] Mm(long[][] a,long[][] b){
		var q=new long[a.Length][];
		for(int j=0;j<a.Length;j++){
			q[j]=new long[b[0].Length];
			for(int i=0;i<b[0].Length;i++){
				for(int k=0;k<a.Length;k++){q[j][i]=(q[j][i]+a[j][k]*b[k][i])%mod;}
			}
		}
		return q;
	}
}

public class Sc{
	public int I{get{return int.Parse(Console.ReadLine());}}
	public long L{get{return long.Parse(Console.ReadLine());}}
	public double D{get{return double.Parse(Console.ReadLine());}}
	public string S{get{return Console.ReadLine();}}
	public int[] Ia{get{return Array.ConvertAll(Console.ReadLine().Split(),int.Parse);}}
	public long[] La{get{return Array.ConvertAll(Console.ReadLine().Split(),long.Parse);}}
	public double[] Da{get{return Array.ConvertAll(Console.ReadLine().Split(),double.Parse);}}
	public string[] Sa{get{return Console.ReadLine().Split();}}
	public object[] Oa{get{return Console.ReadLine().Split();}}
	public int[] Ia2{get{return Array.ConvertAll(("0 "+Console.ReadLine()+" 0").Split(),int.Parse);}}
	public int[] Ia3(string a,string b){return Array.ConvertAll((a+Console.ReadLine()+b).Split(),int.Parse);}
	public int[] Ia3(int a){return Array.ConvertAll((Console.ReadLine()+" "+a.ToString()).Split(),int.Parse);}
	public long[] La2{get{return Array.ConvertAll(("0 "+Console.ReadLine()+" 0").Split(),long.Parse);}}
	public long[] La3(string a,string b){return Array.ConvertAll((a+Console.ReadLine()+b).Split(),long.Parse);}
	public long[] La3(int a){return Array.ConvertAll((Console.ReadLine()+" "+a.ToString()).Split(),long.Parse);}
	public double[] Da2{get{return Array.ConvertAll(("0 "+Console.ReadLine()+" 0").Split(),double.Parse);}}
	public double[] Da3(string a,string b){return Array.ConvertAll((a+Console.ReadLine()+b).Split(),double.Parse);}
	public T[] Arr<T>(int n,Func<T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f();}return a;}
	public T[] Arr<T>(int n,Func<int,T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f(i);}return a;}
	public T[] Arr<T>(int n,Func<string[],T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f(Console.ReadLine().Split());}return a;}
	public T[] Arr<T>(int n,Func<int,string[],T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f(i,Console.ReadLine().Split());}return a;}
}