import java.io.ByteArrayInputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;

public class Main {

	static void sample() {
		System.out.println(1 + " " + 1 + " " + 5);
		for (int i = 0; i < 5; i++) {
			System.out.println(1 + " " + 1 + " " + 15);
		}
	}

	static long MOD = 1_000_000_000 + 7;

	static void solver() {
		long gx = nl();
		long gy = nl();
		int k = ni();// the number of crystals

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

		memo = new long[16777233];
		Arrays.fill(memo, -1);
		long ans = dp(0, 0, x, y, n, gx, gy);
		if (gx == 0 && gy == 0)
			ans++;
		out.println(ans);

	}

	static long[] memo;

	static long dp(long curx, long cury, long[] x, long[] y, long[] n, long gx, long gy) {
		int idx = 0;
		for (int i = 0; i < n.length; i++) {
			idx += pow(16, i) * n[i];
		}
		if (idx == 0)
			return 0;
		if (memo[idx] != -1) {
			return memo[idx];
		} else {
			long sum = 0;
			for (int i = 0; i < n.length; i++) {
				if (n[i] > 0) {
					long[] d = Arrays.copyOf(n, n.length);
					d[i]--;
					long nx = curx + x[i];
					long ny = cury + y[i];
					if (gx == nx && gy == ny) {
						sum += 1;

					}
					sum += dp(nx, ny, x, y, d, gx, gy);
					sum %= MOD;
				}
			}
			memo[idx] = sum % MOD;
			return sum;
		}
	}

	static InputStream is;
	static PrintWriter out;
	static String INPUT = "";

	public static void main(String[] args) throws Exception {
		is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes());
		out = new PrintWriter(System.out);
		solver();
		out.flush();

	}

	static long nl() {
		try {
			long num = 0;
			boolean minus = false;
			while ((num = is.read()) != -1 && !((num >= '0' && num <= '9') || num == '-'))
				;
			if (num == '-') {
				num = 0;
				minus = true;
			} else {
				num -= '0';
			}

			while (true) {
				int b = is.read();
				if (b >= '0' && b <= '9') {
					num = num * 10 + (b - '0');
				} else {
					return minus ? -num : num;
				}
			}
		} catch (IOException e) {
		}
		return -1;
	}

	static char nc() {
		try {
			int b = skip();
			if (b == -1)
				return 0;
			return (char) b;
		} catch (IOException e) {
		}
		return 0;
	}

	static double nd() {
		try {
			return Double.parseDouble(ns());
		} catch (Exception e) {
		}
		return 0;
	}

	static String ns() {
		try {
			int b = skip();
			StringBuilder sb = new StringBuilder();
			if (b == -1)
				return "";
			sb.append((char) b);
			while (true) {
				b = is.read();
				if (b == -1)
					return sb.toString();
				if (b <= ' ')
					return sb.toString();
				sb.append((char) b);
			}
		} catch (IOException e) {
		}
		return "";
	}

	public static char[] ns(int n) {
		char[] buf = new char[n];
		try {
			int b = skip(), p = 0;
			if (b == -1)
				return null;
			buf[p++] = (char) b;
			while (p < n) {
				b = is.read();
				if (b == -1 || b <= ' ')
					break;
				buf[p++] = (char) b;
			}
			return Arrays.copyOf(buf, p);
		} catch (IOException e) {
		}
		return null;
	}

	public static byte[] nse(int n) {
		byte[] buf = new byte[n];
		try {
			int b = skip();
			if (b == -1)
				return null;
			is.read(buf);
			return buf;
		} catch (IOException e) {
		}
		return null;
	}

	static int skip() throws IOException {
		int b;
		while ((b = is.read()) != -1 && !(b >= 33 && b <= 126))
			;
		return b;
	}

	static boolean eof() {
		try {
			is.mark(1000);
			int b = skip();
			is.reset();
			return b == -1;
		} catch (IOException e) {
			return true;
		}
	}

	static int ni() {
		try {
			int num = 0;
			boolean minus = false;
			while ((num = is.read()) != -1 && !((num >= '0' && num <= '9') || num == '-'))
				;
			if (num == '-') {
				num = 0;
				minus = true;
			} else {
				num -= '0';
			}

			while (true) {
				int b = is.read();
				if (b >= '0' && b <= '9') {
					num = num * 10 + (b - '0');
				} else {
					return minus ? -num : num;
				}
			}
		} catch (IOException e) {
		}
		return -1;
	}

	static void tr(Object... o) {
		if (INPUT.length() != 0)
			System.out.println(Arrays.deepToString(o));
	}

	static long pow(long a, long n) {
		long A = a;
		long ans = 1;
		while (n >= 1) {
			if (n % 2 == 0) {
				A = A * A;
				n /= 2;
			} else if (n % 2 == 1) {
				ans = ans * A;
				n--;
			}
		}
		return ans;
	}

}