#include<stdio.h>
#define teisu 1000000007

long long kaijo(long long x){
	long long i,r=1;
	for(i = 1;i <= x;i++){r*=i;}
	return r;
}

long long nCr(long long n,long long r){
	return kaijo(n)/(kaijo(r)*kaijo(n-r));
}

int main(void){
	long long gx,gy,k;
	long long i,x[8]={0},y[8]={0},n[8]={0};
	long long r = 0,ri;
	long long a,b,c,d,e,s;
	scanf("%lld%lld%lld",&gx,&gy,&k);
	for(i = 1;i <= k;i++){
		scanf("%lld%lld%lld",&x[i],&y[i],&n[i]);
	}
	for(a = 0;a <= 15;a++){
	for(b = 0;b <= 15;b++){
	for(c = 0;c <= 15;c++){
	for(d = 0;d <= 15;d++){
	for(e = 0;e <= 15;e++){
		if(n[1] >= a && n[2] >= b && n[3] >= c && n[4] >= d && n[5] >= e){
			if(x[1]*a+x[2]*b+x[3]*c+x[4]*d+x[5]*e == gx && y[1]*a+y[2]*b+y[3]*c+y[4]*d+y[5]*e == gy){
				if(k == 1){s = a;}
				if(k == 2){s = a+b;}
				if(k == 3){s = a+b+c;}
				if(k == 4){s = a+b+c+d;}
				if(k == 5){s = a+b+c+d+e;}
				if(k >= 1){ri = nCr(s,a)%teisu;s-=a;}
				if(k >= 2){ri*=nCr(s,b);ri%=teisu;s-=b;}
				if(k >= 3){ri*=nCr(s,c);ri%=teisu;s-=c;}
				if(k >= 4){ri*=nCr(s,d);ri%=teisu;s-=d;}
				if(k >= 5){ri*=nCr(s,e);ri%=teisu;s-=e;}
				r+=ri;
				r%=teisu;
			}
		}
	}
	}
	}
	}
	}
	printf("%lld\n",r);
	return 0;
}