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)

import numpy as np

answer = False
BINGO = np.array([True, True, True])

a11,a12,a13=map(int,input().split())
a21,a22,a23=map(int,input().split())
a31,a32,a33=map(int,input().split())
A = np.asarray([[a11,a12,a13],[a21,a22,a23],[a31,a32,a33]])
N=int(input())
b=[int(input()) for i in range(N)]
b=list(set(b))

bingo = (A==b[0])
for i in range(1, len(b)):
  bingo = bingo + (A==b[i])

for i in range(3):
  if any(bingo[i,:]==False):
    pass
  else:
    answer = True
    break

if answer == False:
  for i in range(3):
    if any(bingo[:,i]==False):
      pass
    else:
      answer = True
      break

if answer == False:
  if not any(np.array([bingo[0,0],bingo[1,1],bingo[2,2]])==False):
    answer = True

if answer == False:
  if not any(np.array([bingo[0,2],bingo[1,1],bingo[2,0]])==False):
    answer = True

if answer == True:
  print("Yes")
else:
  print("No")