Problem:
Score : 200 points

Problem Statement

We have a bingo card with a 3\times3 grid. The square at the i-th row from the top and the j-th column from the left contains the number A_{i, j}.

The MC will choose N numbers, b_1, b_2, \cdots, b_N. If our bingo sheet contains some of those numbers, we will mark them on our sheet.

Determine whether we will have a bingo when the N numbers are chosen, that is, the sheet will contain three marked numbers in a row, column, or diagonal.

Constraints

All values in input are integers.

1 \leq A_{i, j} \leq 100

A_{i_1, j_1} \neq A_{i_2, j_2} ((i_1, j_1) \neq (i_2, j_2))

1 \leq N \leq 10

1 \leq b_i \leq 100

b_i \neq b_j (i \neq j)

Input

Input is given from Standard Input in the following format:

A_{1, 1} A_{1, 2} A_{1, 3}
A_{2, 1} A_{2, 2} A_{2, 3}
A_{3, 1} A_{3, 2} A_{3, 3}
N
b_1
\vdots
b_N

Output

If we will have a bingo, print Yes; otherwise, print No.

Sample Input 1

84 97 66
79 89 11
61 59 7
7
89
7
87
79
24
84
30

Sample Output 1

Yes

We will mark A_{1, 1}, A_{2, 1}, A_{2, 2}, A_{3, 3}, and complete the diagonal from the top-left to the bottom-right.

Sample Input 2

41 7 46
26 89 2
78 92 8
5
6
45
16
57
17

Sample Output 2

No

We will mark nothing.

Sample Input 3

60 88 34
92 41 43
65 73 48
10
60
43
88
11
48
73
65
41
92
34

Sample Output 3

Yes

We will mark all the squares.

Solution in Python (3.4.3) (judge verdict: Runtime Error)

def search(chart, m):
    for k in range(len(chart)):
        if m in chart[k]:
            return True
    return False

def row(chart, i):
    res = []
    for k in range(len(chart)):
        res.append(chart[k][i])
    return res


def check(numlist, bingolist):
    for num in bingolist:
        if num not in numlist:
            return False
    return True

def naname1(chart):
    resul = []
    for i in range(3):
        resul.append(chart[i][i])
    return resul

def naname2(chart):
    resul = []
    for i in range(3):
        resul.append(chart[i, (2-i)])
    return resul

def bingo(chart, listb):
    count = 0
    numlist = []
    for num in listb:
        if search(chart, num):
            count += 1
            numlist.append(num)
    if count >= 5:
        return "yes"
    elif count <= 2:
        return "no"
    else:
        for i in range(len(chart)):
            # i = 0,1,2
            if check(numlist, chart[i]):
                return "yes"
            elif check(numlist, row(chart,i)):
                return "yes"
            elif check(numlist, naname1(chart)):
                return "yes"
            elif check(numlist, naname2(chart)):
                return "yes"
            else:
                return 'no'

chart=[]
for i in range(3):
    l = list(map(int, input().split()))
    chart.append(l)

N = int(input())
listb = []
for i in range(N):
    listb.append(int(input()))

print(bingo(chart, listb))