Gx,Gy,K=map(int,input().split())
W=[list(map(int,input().split())) for i in range(K)]

while len(W)<=5:
    W.append((0,0,0))

DP=[[[[[0]*16 for i in range(16)] for j in range(16)] for k in range(16)] for l in range(16)]
DP[0][0][0][0][0]=1

ANS=0

for i in range(W[0][2]+1):
    for j in range(W[1][2]+1):
        for k in range(W[2][2]+1):
            for l in range(W[3][2]+1):
                for m in range(W[4][2]+1):

                    if i+1<=W[0][2]:
                        DP[i+1][j][k][l][m]+=DP[i][j][k][l][m]
                        
                    if j+1<=W[1][2]:
                        DP[i][j+1][k][l][m]+=DP[i][j][k][l][m]

                    if k+1<=W[2][2]:        
                        DP[i][j][k+1][l][m]+=DP[i][j][k][l][m]
                        
                    if l+1<=W[3][2]:
                        DP[i][j][k][l+1][m]+=DP[i][j][k][l][m]

                    if m+1<=W[4][2]:
                        DP[i][j][k][l][m+1]+=DP[i][j][k][l][m]

                    x=W[0][0]*i+W[1][0]*j+W[2][0]*k+W[3][0]*l+W[4][0]*m
                    y=W[0][1]*i+W[1][1]*j+W[2][1]*k+W[3][1]*l+W[4][1]*m

                    if x==Gx and y==Gy:
                        ANS+=DP[i][j][k][l][m]

print(ANS%(10**9+7))