import sys
readline = sys.stdin.readline
N = int(readline())

X = [int(readline().replace(" ","")[::-1],2) for i in range(N)]

A = list(map(int,input().split()))

INF = 1 << 60
dp = [INF] * (1 << N)
dp[0] = 0

for status in range(1 << N):
  for target in range(N): # 次に自白させたい人
    if (status >> target) & 1:
      continue # 自白済み。
#   print(bin(status)[2:].zfill(3),"から",bin(1 << target)[2:].zfill(3),"を自白させたい")
    # X[target]が1の人が自白済みでなければコストが掛かる
    cost = dp[status]
    next_status = status | (1 << target)
    for i in range(N):
      if (X[target] >> i) & 1 and (status >> i) & 1 == 0:# 信頼している人が自白していない
        # iの人が自白したと嘘をつく
#       print(i,"が自白したと嘘をつく",A[i])
        next_status |= (1 << i)
        cost += A[i]
#   print("cost",cost,"が発生")
    if dp[next_status] > cost:
      dp[next_status] = cost
      
print(dp[-1])