#!/usr/bin/env python3
# %%
import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
import itertools

MOD = 10 ** 9 + 7

# %%
Gx, Gy, K = map(int, readline().split())
m = map(int, read().split())
XYN = list(zip(m, m, m))

# %%
fact = [1] * 1000
for n in range(1, 1000):
    fact[n] = n * fact[n - 1]

# %%
X, Y, N = zip(*XYN)
rngs = [range(n + 1) for n in N]
it = itertools.product(*rngs)
answer = 0
for p in it:
    x = sum(dx * cnt for dx, cnt in zip(X, p))
    y = sum(dy * cnt for dy, cnt in zip(Y, p))
    if x != Gx or y != Gy:
        continue
    x = fact[sum(p)]
    for cnt in p:
        x //= fact[cnt]
    answer += x

# %%
print(answer % MOD)