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 (3.8.2) (judge verdict: Accepted)


import sys
import numpy as np
import itertools as itlt
from collections import deque
 

 
s = [[0,0,0]
    ,[0,0,0]
    ,[0,0,0]]    
s[0] = [int(x) for x in sys.stdin.readline().split()]
s[1] = [int(x) for x in sys.stdin.readline().split()]
s[2] = [int(x) for x in sys.stdin.readline().split()]
g = [[0,0,0]
    ,[0,0,0]
    ,[0,0,0]]
N = int(sys.stdin.readline())
p = list([0]*N)
s = np.array(s)
for _ in range(N):
    a = int(sys.stdin.readline())
    b = np.where(s == a)
    for i in range(np.size(b[0])):
        g[b[0][i]][b[1][i]] = 1
 

 
 
flg_win = 0
 
for i in range(3):
    if (g[i][0] + g[i][1] + g[i][2]) == 3:
        flg_win = 1
    if (g[0][i] + g[1][i] + g[2][i]) == 3:
        flg_win = 1
 
if (g[0][0]+g[1][1]+g[2][2]) == 3:
    flg_win = 1
 
if (g[0][2]+g[1][1]+g[2][0]) == 3:
    flg_win = 1
 
if flg_win == 1:
    print("Yes")
else:
    print("No")