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 PyPy3 (2.4.0) (judge verdict: Accepted)

#!/usr/bin/env python
from collections import deque, defaultdict
import bisect
from math import factorial

def main():
    As = []
    for _ in range(3):
        A = list(map(int, input().split()))
        As.append(A)
    N = int(input())
    Bs = set([int(input()) for _ in range(N)])

    is_success = False
    for A in As:
        if len(Bs & set(A)) == 3:
            is_success = True

    for i in range(3):
        C = Bs & set([A[i] for A in As])
        if len(C) == 3:
            is_success = True

    D = set([As[0][0], As[1][1], As[2][2]])
    if len(Bs & D) == 3:
        is_success = True
    D = set([As[0][2], As[1][1], As[2][0]])
    if len(Bs & D) == 3:
        is_success = True

    if is_success:
        print("Yes")
    else:
        print("No")


if __name__ == '__main__':
    main()