n, k = map(int, input().split())
s = [input() for _ in range(2 * n)]
c = [list(map(int, input().split())) for _ in range(2 * n)]

cnt = 0
xs = []
for x in range(2 * n):
  for y in range(2 * n):
    if s[x][y] == "#":
      cnt += 1
    xs.append(c[x][y])

if cnt == 0:
  print(k)
  exit()

xs.sort()
ans = sum(xs[- cnt:])
if cnt % 2 != 0:
  print(ans)
  exit()

xs = []
for x in range(2 * n):
  for y in range(n):
    xs.append(c[x][y] + c[x][2 * n - 1 - y])

xs.sort()
ans = max(ans, sum(xs[- (cnt // 2):]) + k)
print(ans)