using System;
using System.Collections;
using System.Collections.Generic;
using System.Linq;
using System.Text;

class TEST{
	static void Main(){
		Sol mySol =new Sol();
		mySol.Solve();
	}
}

class Sol{
	public void Solve(){
		
		long mod = (long)1e9+7;
		long[][] C = new long[100][];
		for(int i=0;i<100;i++) C[i] = new long[100];
		C[0][0] = 1;
		for(int i=1;i<100;i++){
			C[i][0] = 1;
			for(int j=1;j<=i;j++){
				C[i][j] = C[i-1][j] + C[i-1][j-1];
				if(C[i][j] >= mod) C[i][j] -= mod;
			}
		}
		long ans = 0;
		for(int a=0;a<=N[0];a++){
			for(int b=0;b<=N[1];b++){
				for(int c=0;c<=N[2];c++){
					for(int d=0;d<=N[3];d++){
						for(int e=0;e<=N[4];e++){
							var tot = a + b + c + d + e;
							var xt = X[0]*a + X[1]*b + X[2]*c + X[3]*d + X[4]*e;
							var yt = Y[0]*a + Y[1]*b + Y[2]*c + Y[3]*d + Y[4]*e;
							if(xt != Gx || yt != Gy) continue;
							long m = 1;
							m *= C[tot][a]; tot -= a; if(m >= mod) m %= mod;
							m *= C[tot][b]; tot -= b; if(m >= mod) m %= mod;
							m *= C[tot][c]; tot -= c; if(m >= mod) m %= mod;
							m *= C[tot][d]; tot -= d; if(m >= mod) m %= mod;
							m *= C[tot][e]; tot -= e; if(m >= mod) m %= mod;
							
							ans += m; if(ans >= mod) ans -= mod;
						}
					}
				}
			}
		}
		
		
		Console.WriteLine(ans);
		
		
	}
	int Gx,Gy,K;
	int[] X,Y,N;
	public Sol(){
		var d = ria();
		Gx = d[0]; Gy = d[1]; K = d[2];
		X = new int[5];
		Y = new int[5];
		N = new int[5];
		for(int i=0;i<K;i++){
			d = ria();
			X[i] = d[0]; Y[i] = d[1]; N[i] = d[2];
		}
		K = 5;
	}

	static String rs(){return Console.ReadLine();}
	static int ri(){return int.Parse(Console.ReadLine());}
	static long rl(){return long.Parse(Console.ReadLine());}
	static double rd(){return double.Parse(Console.ReadLine());}
	static String[] rsa(char sep=' '){return Console.ReadLine().Split(sep);}
	static int[] ria(char sep=' '){return Array.ConvertAll(Console.ReadLine().Split(sep),e=>int.Parse(e));}
	static long[] rla(char sep=' '){return Array.ConvertAll(Console.ReadLine().Split(sep),e=>long.Parse(e));}
	static double[] rda(char sep=' '){return Array.ConvertAll(Console.ReadLine().Split(sep),e=>double.Parse(e));}
}