def inv(x):
    return pow(x, MOD-2, MOD)

Gx, Gy, K = map(int, input().split())
xyN = [tuple(map(int, input().split())) for _ in range(K)]
xyN += [(0, 0, 0)]*(5-K)
ans = 0
fact = [1]
MOD = 10**9+7

for i in range(1, 100):
    fact.append(fact[-1]*i%MOD)
    
for i0 in range(xyN[0][2]+1):
    for i1 in range(xyN[1][2]+1):
        for i2 in range(xyN[2][2]+1):
            for i3 in range(xyN[3][2]+1):
                for i4 in range(xyN[4][2]+1):
                    x = i0*xyN[0][0]+i1*xyN[1][0]+i2*xyN[2][0]+i3*xyN[3][0]+i4*xyN[4][0]
                    y = i0*xyN[0][1]+i1*xyN[1][1]+i2*xyN[2][1]+i3*xyN[3][1]+i4*xyN[4][1]
                    
                    if x==Gx and y==Gy:
                        ans += fact[i0+i1+i2+i3+i4]*inv(fact[i0])*inv(fact[i1])*inv(fact[i2])*inv(fact[i3])*inv(fact[i4])
                        ans %= MOD
    
print(ans)