#include <bits/stdc++.h>
using namespace std;
typedef long long ll;

const int mod = 1000000007; // assert mod is prime

template<int M>
struct Mint {
	int x;
	Mint() : x(0) {}
	Mint(int y) : x(y >= 0 ? y % M : M - (-y) % M) {}
	Mint &operator += (const Mint &rhs) { if((x += rhs.x) >= M) x -= M; return *this; }
	Mint &operator -= (const Mint &rhs) { if((x += M - rhs.x) >= M) x -= M; return *this; }
	Mint &operator *= (const Mint &rhs) { x = 1LL * x*rhs.x % M; return *this; }
	Mint &operator /= (const Mint &rhs) { x = (1LL * x*rhs.inv().x) % M; return *this; }
	Mint operator - () const { return Mint(-x); }
	Mint operator + (const Mint &rhs) const { return Mint(*this) += rhs; }
	Mint operator - (const Mint &rhs) const { return Mint(*this) -= rhs; }
	Mint operator * (const Mint &rhs) const { return Mint(*this) *= rhs; }
	Mint operator / (const Mint &rhs) const { return Mint(*this) /= rhs; }
	bool operator < (const Mint &rhs) const { return x < rhs.x; }
	Mint inv() const {
		signed a = x, b = M, u = 1, v = 0, t;
		while(b) { t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); }
		return Mint(u);
	}
	Mint pow(long long t) const {
		Mint e = *this, res = 1;
		for(; t; e *= e, t >>= 1) if(t & 1) res *= e;
		return res;
	}
};
template <int M>
ostream &operator << (ostream &os, const Mint<M> &rhs) {
	return os << rhs.x;
}
template <int M>
istream &operator >> (istream &is, Mint<M> &rhs) {
	long long s; is >> s; rhs = Mint<M>(s); return is;
};

using mint = Mint<mod>;

ll modpow(ll x, ll y, ll m) {
	if(y == 0) return 1;
	ll res = modpow(x, y / 2, m);
	return res * res % m * (y & 1 ? x : 1) % m;
}

ll modinv(ll x, ll m) {
	return modpow(x, m - 2, m);
}

struct Comb {
	int sz;
	vector<mint> mfact, mfinv;
	Comb(int N) : sz(min(N, int(mod) - 1)), mfact(sz + 1), mfinv(sz + 1) {
		for(int i = 0; i <= sz; i++) mfact[i] = (i == 0 ? 1 : mfact[i - 1] * i);
		mfinv[sz] = mfact[sz].inv();
		for(int i = sz; i >= 1; i--) mfinv[i - 1] = mfinv[i] * i;
	}
	mint fact(int n, int& e) { // e に p の指数が入る
							   // Wilson の定理
		e = 0;
		if(n <= sz) return mfact[n];
		mint res = fact(n / mod, e);
		e += n / mod;
		if(n / mod % 2 != 0) return -res * mfact[n % mod];
		return res * mfact[n % mod];
	}
	mint nPr(int n, int r) {
		int e; return fact(n, e) / fact(n - r, e);
	}
	mint nCr(int n, int r) {
		// Lucus の定理
		assert(n <= sz);
		if(n >= mod) return nCr(n%mod, r%mod) * nCr(n / mod, r / mod);
		return r > n ? 0 : mfact[n] * mfinv[n - r] * mfinv[r];
	}
	mint nHr(int n, int r) {
		return r == 0 ? 1 : nCr(n + r - 1, r);
	}
};

int N;
int gx, gy;
int X[5];
int Y[5];
int num[5];
int cur[5];
int sum;
Comb C(100000);

void dfs(int n, int x, int y, mint &ans) {
	if(n == N) {
		if(x == gx && y == gy) {
			int sum = 0;
			for(int i = 0; i < N; i++) {
				sum += cur[i];
			}
			mint p = 1;
			for(int i = 0; i < N; i++) {
				p *= C.nCr(sum, cur[i]);
				sum -= cur[i];
			}
			ans += p;
		}
		return;
	}
	for(int i = 0; i <= num[n]; i++) {
		cur[n] = i;
		dfs(n + 1, x + X[n] * i, y + Y[n] * i, ans);
	}
}

int main() {
	cin.tie(0);
	ios::sync_with_stdio(false);

	cin >> gx >> gy >> N;
	for(int i = 0; i < N; i++) {
		cin >> X[i] >> Y[i] >> num[i];
	}

	mint ans = 0;
	dfs(0, 0, 0, ans);
	cout << ans << endl;
}