#include<bits/stdc++.h>
using namespace std;
#define rep(i,a,b) for(int i=a;i<b;i++)





int mod = 1000000007;
int add(int x, int y) { return (x += y) >= mod ? x - mod : x; }
int mul(int x, int y) { return 1LL * x * y % mod; }
int modpow(int a, long long b) {
	int ret = 1;
	while (b > 0) {
		if (b & 1) ret = 1LL * ret * a % mod;
		a = 1LL * a * a % mod; b >>= 1;
	}
	return ret;
}
int modinv(int a) { return modpow(a, mod - 2); }
int fac[201010], ifac[201010];
void initfac() {
	fac[0] = ifac[0] = 1;
	rep(i, 1, 201010) fac[i] = 1LL * i * fac[i - 1] % mod;
	rep(i, 1, 201010) ifac[i] = modinv(fac[i]);
}
//-----------------------------------------------------------------------------------
int GX, GY, K;
int X[10], Y[10], N[10];
//-----------------------------------------------------------------------------------
int ans = 0;
int use[10];
void rec(int idx) {
	if (idx == K) {
		int x = 0, y = 0;
		rep(i, 0, K) x += X[i] * use[i];
		rep(i, 0, K) y += Y[i] * use[i];
		if (x != GX) return;
		if (y != GY) return;

		int sm = 0;
		rep(i, 0, K) sm += use[i];
		int com = fac[sm];
		rep(i, 0, K) if(use[i] != 0) com = mul(com, ifac[use[i]]);
		ans = add(ans, com);
		return;
	}

	rep(i, 0, N[idx] + 1) {
		use[idx] = i;
		rec(idx + 1);
	}
}
//-----------------------------------------------------------------------------------
int main() {
	initfac();

	cin >> GX >> GY >> K;
	rep(i, 0, K) cin >> X[i] >> Y[i] >> N[i];

	rec(0);

	cout << ans << endl;
}