from collections import defaultdict

MOD = 10**9 + 7
MAX = 76
fac = [1] * MAX
for i in range(1, MAX):
    fac[i] = fac[i - 1] * i % MOD

Gx, Gy, K = map(int, input().split())
cand = defaultdict(list)
cand[(0, 0)] = [[]]
for _ in range(K):
    nx, ny, n = map(int, input().split())
    new_cand = defaultdict(list)
    for (x, y), lst in cand.items():
        for crystal in lst:
            new_cand[(x, y)].append(crystal + [0])
            for i in range(1, n + 1):
                new_cand[(x + i * nx, y + i * ny)].append(crystal + [i])
    cand = new_cand

res = cand[(Gx, Gy)]
ans = 0
for crystal in res:
    tmp = fac[sum(crystal)]
    for x in crystal:
        tmp *= pow(fac[x], -1, MOD)
        tmp %= MOD
    ans += tmp
    ans %= MOD
print(ans)