from collections import defaultdict

N = int(input())
INF = 10**10

parents = [tuple(input().split()) for _ in range(N)]
A = list(map(int, input().split()))

masks = []
for mask in range(1 << N):
    V = set(i for i in range(N) if (mask & (1 << i)) != 0)
    masks.append(V)
masks.sort(key=lambda B: len(B))

dp = defaultdict(lambda : INF)
dp[()] = 0

for mask in masks:
    V = list(mask)
    V.sort()
    V = tuple(V)

    for d in range(N):
        if d in mask:
            continue

        cost = 0
        state = list(mask) + [d]
        for i, (s, a) in enumerate(zip(parents[d], A)):
            if s == '1' and (i not in mask):
                state.append(i)
                cost += a
        state.sort()
        state = tuple(state)
        dp[state] = min(dp[state], dp[V] + cost)

print(dp[tuple(i for i in range(N))])