#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;
typedef long long ll;
#define rep(i,n)	for(int i=0;i<n;i++)
#define REP(i,n)	for(int i=0;i<=n;i++)
const ll mod = 1e9 + 7;
ll dp[20][20][20][20][20];
int x[5], y[5], n[5];
int main() {
	int gx, gy, k;	cin >> gx >> gy >> k;
	rep(i,k)	cin >> x[i] >> y[i] >> n[i];
	dp[0][0][0][0][0] = 1;
	ll ret = 0;
	REP(a, n[0])	REP(b, n[1])	REP(c, n[2])	REP(d, n[3])	REP(e, n[4]) {
		if (dp[a][b][c][d][e] == 0)	continue;
		int cx = x[0] * a + x[1] * b + x[2] * c + x[3] * d + x[4] * e;
		int cy = y[0] * a + y[1] * b + y[2] * c + y[3] * d + y[4] * e;
		if (cx == gx&&cy == gy)	(ret += dp[a][b][c][d][e]) %= mod;
		(dp[a + 1][b][c][d][e] += dp[a][b][c][d][e]) %= mod;
		(dp[a][b + 1][c][d][e] += dp[a][b][c][d][e]) %= mod;
		(dp[a][b][c + 1][d][e] += dp[a][b][c][d][e]) %= mod;
		(dp[a][b][c][d + 1][e] += dp[a][b][c][d][e]) %= mod;
		(dp[a][b][c][d][e + 1] += dp[a][b][c][d][e]) %= mod;
	}
	cout << ret << endl;
}