n,k = map(int,input().split())
s = [input() for i in range(2*n)]
c = [list(map(int,input().split())) for i in range(2*n)]
cnt = 0
for i in range(2*n):
  for j in range(2*n):
    if s[i][j] == "#":
      cnt += 1

mx = []
for i in range(2*n):
  for j in range(2*n):
    mx.append(c[i][j])

mx.sort(key = lambda x:-x)
ans = 0
for i in range(cnt):
  ans += mx[i]

if cnt % 2 == 1:
  print(ans)
else:
  syn = []
  for i in range(2*n):
    for j in range(n):
      syn.append(c[i][j] + c[i][2*n-j-1])
  syn.sort(key = lambda x:-x)
  ans2 = 0
  for i in range(cnt//2):
    ans2 += syn[i]
  print(max(ans, ans2+k))