#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef vector<int> vint;
typedef pair<int,int> pint;
typedef vector<pint> vpint;
#define rep(i,n) for(int i=0;i<(n);i++)
#define REP(i,n) for(int i=n-1;i>=(0);i--)
#define reps(i,f,n) for(int i=(f);i<(n);i++)
#define each(it,v) for(__typeof((v).begin()) it=(v).begin();it!=(v).end();it++)
#define all(v) (v).begin(),(v).end()
#define eall(v) unique(all(v), v.end())
#define pb push_back
#define mp make_pair
#define fi first
#define se second
#define chmax(a, b) a = (((a)<(b)) ? (b) : (a))
#define chmin(a, b) a = (((a)>(b)) ? (b) : (a))
const int MOD = 1e9 + 7;
const int INF = 1e9;
const ll INFF = 1e18;

const int MAX_N = 2000000;
ll inv[MAX_N + 10];
ll fac[MAX_N + 10], facInv[MAX_N + 10];
class MATH{
public:
	MATH(){
		inverse();
		factroial();
	}
	ll nCk(ll n, ll k){// n! / k!*(n-k)!
		if(k < 0 || k > n) return 0;
		ll ret = fac[n];
		(ret *= facInv[k]) %= MOD;
		(ret *= facInv[n - k]) %= MOD;
		return ret;
	}
	ll nHk(ll n, ll k){// nHk = n+k-1 C k = (n+k-1)! / k! * (n-1)!
		if(n == 0 && k == 0) return 1;
		ll ret = fac[n + k - 1];
		(ret *= facInv[k]) %= MOD;
		(ret *= facInv[n - 1]) %= MOD;
		return ret;
	}
	ll nPk(ll n, ll k){//nPk = n! / (n-k)!
		if(k < 0 || k > n) return 0;
		ll ret = fac[n];
		(ret *= facInv[n - k]) %= MOD;
		return ret;
	}
private:
	void inverse(void){
		inv[1] = 1;
		for (int i = 2; i <= MAX_N; ++i){
			// inv[i] = MOD - (MOD / i) * inv[MOD % i] % MOD;
			inv[i] = inv[MOD % i] * (MOD - MOD / i) % MOD;
		}
	}
	void factroial(void){
		fac[0] = facInv[0] = 1;
		for (int i = 1; i <= MAX_N; ++i){
			fac[i] = (fac[i - 1] * i) % MOD;
			facInv[i] = (facInv[i - 1] * inv[i]) % MOD;
		}
	}
};

int Gx, Gy, K;
int x[6], y[6], N[6];

ll ans = 0;
int use[10];
void dfs(int cnt, int nx, int ny){
	if(cnt == K){
		if(nx == Gx && ny == Gy){
			// rep(i, cnt) printf("%d ", use[i]);
			ll n = 0, ret = 1;
			rep(i, cnt) n += use[i];
			ret *= fac[n];
			rep(i, cnt) if(use[i] != 0)ret *= facInv[use[i]];
			ans += ret; ans %= MOD;
		}
		return;
	}
	rep(i, N[cnt] + 1){
		use[cnt] = i;
		dfs(cnt + 1, nx + i * x[cnt], ny + i * y[cnt]);
	}
}

int main(void){
	cin >> Gx >> Gy >> K;
	rep(i, K) cin >> x[i] >> y[i] >> N[i];
	MATH mt;
	dfs(0, 0, 0);
	printf("%lld\n", ans);
	return 0;
}