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)

import sys

input = sys.stdin.readline


def main():
    bingo = [list(map(int, input().split())) for _ in range(3)]
    N = int(input())
    bn = [int(input()) for _ in range(N)]
    hit = [[0] * 3 for _ in range(3)]
    cnt = 0
    hitz = []
    hzb, hb = False, False
    for b in bn:
        for v, i in enumerate(bingo):
            for w, j in enumerate(i):
                if b == j:
                    if j in hit:
                        continue
                    hit[w][v] = 1
                    cnt += 1
    hitz = list(map(list, zip(*hit)))
    for i in hitz:
        if sum(i) == 3:
            hzb = True
            break
    for i in hit:
        if sum(i) == 3:
            hb = True
            break
    if cnt >= 3 and (
        hzb == True
        or hb == True
        or hit[0][0] == hit[1][1] == hit[2][2] == 1
        or hit[0][2] == hit[1][1] == hit[2][0] == 1
    ):
        print("Yes")

    else:
        print("No")


if __name__ == "__main__":
    main()