def solve(N, M, AS, BS, RS):
INF = 10 ** 5
mcf = MinCostFlow(N + 5)
start = N
goal = N + 1
round = N + 2
for i in range(3):
mcf.add_edge(start, round + i, M, 0)
for i in range(3):
for j in range(N):
r = AS[j] * (BS[j] ** (i + 1)) % RS[i]
mcf.add_edge(round + i, j, 1, INF - r)
for j in range(N):
cs = [AS[j] * (BS[j] ** (k + 1)) for k in range(3)]
cs.append(0)
for k in range(3):
c = cs[k] - cs[k-1]
mcf.add_edge(j, goal, 1, c)
return INF * (3 * M) - mcf.flow(start, goal)[-1]