import java.io.*;
import java.util.*;


public class Main_yukicoder498 {

	private static Scanner sc;
	private static Printer pr;

	private static void solve() {
		final int MOD = 1_000_000_007;

		int gx = sc.nextInt();
		int gy = sc.nextInt();
		int k = sc.nextInt();

		long[] x = new long[k];
		long[] y = new long[k];
		int[] n = new int[k];
		for (int i = 0; i < k; i++) {
			x[i] = sc.nextInt();
			y[i] = sc.nextInt();
			n[i] = sc.nextInt();
		}

		List<List<Integer>> ans = new ArrayList<>();
		List<Long> q = new ArrayList<>();
		List<List<Integer>> ql = new ArrayList<>();
		q.add(enc(0, 0));
		ql.add(new ArrayList<>());
		for (int i = 0; i < k; i++) {
			for (int j = 0, size = q.size(); j < size; j++) {
				long e = q.get(j);
				List<Integer> el = ql.get(j);

				long xx = e / OFFSET - OFFSET2;
				long yy = e % OFFSET - OFFSET2;

				for (int l = 0; l < n[i]; l++) {
					long nx = xx + x[i] * (l + 1);
					long ny = yy + y[i] * (l + 1);

					List<Integer> tmpl = new ArrayList<>(el);
					tmpl.add(l + 1);
					q.add(enc(nx, ny));
					ql.add(tmpl);

					if (nx == gx && ny == gy) {
						ans.add(tmpl);
					}
				}
			}
		}

		long[] fact = new long[15 * 5 + 1];
		long[] inv = new long[15 + 1];
		fact[0] = 1;
		for (int i = 1; i <= 15 * 5; i++) {
			fact[i] = fact[i - 1] * i % MOD;
		}
		inv[0] = 1;
		for (int i = 1; i <= 15; i++) {
    		int loop = MOD - 2;
    		long tmp = i;
    		inv[i] = 1;
    		while (loop > 0) {
    			if (loop % 2 == 1) {
    				inv[i] = inv[i] * tmp % MOD;
    			}
    			tmp = tmp * tmp % MOD;
    			loop /= 2;
    		}
		}

		long ret = 0;
		for (List<Integer> e : ans) {
			long tmp = 1;
			int sum = 0;
			for (int ee : e) {
				sum += ee;
				tmp *= inv[ee];
				tmp %= MOD;
			}

			tmp *= fact[sum];
			tmp %= MOD;

			ret += tmp;
			ret %= MOD;
		}

		pr.println(ret);
	}

	static final int OFFSET = 1_000_000_000;
	static final int OFFSET2 = 100_000_000;

	private static long enc(long x, long y) {
		return (x + OFFSET2) * OFFSET + (y + OFFSET2);
	}

	// ---------------------------------------------------
	public static void main(String[] args) {
		sc = new Scanner(System.in);
		pr = new Printer(System.out);

		solve();

		pr.close();
		sc.close();
	}

	private static class Printer extends PrintWriter {
		Printer(PrintStream out) {
			super(out);
		}
	}
}