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: Accepted)

A = [[0 for _ in range(3)] for _ in range(3)]
B = [[0 for _ in range(3)] for _ in range(3)]
for i in range(3):
    tmp = input().split()
    for j in range(3):
        A[i][j] = int(tmp[j])

N = int(input())

for n in range(N):
    b = int(input())
    flag = False
    for i in range(3):
        for j in range(3):
            if A[i][j] == b:
                B[i][j] = 1
                flag = True
                break
        if flag:
            break

C = [0]*8
for i in range(3):
    for j in range(3):
        if i == j:
            C[6] += B[i][j]
        if i+j==2:
            C[7] += B[i][j]
        C[i] += B[i][j]
        C[j+3] += B[i][j]

for i in range(8):
    if C[i]==3:
        print('Yes')
        break
    if i == 7:
        print('No')