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)

A = []
a1 = []
a2 = []
a3 = []
for i in range(3):
    a = list(map(int,input().split()))
    for K in range(3):
        A.append(a[K])


N = int(input())
for i in range(N):
    b = int(input())
    for k in range(9):
        if b == A[k]:
            A[k] = 0




for i in range(9):
    if 0 <= i <= 2:
        a1.append(A[i])
    elif 3 <= i <= 5:
        a2.append(A[i])
    else:
        a3.append(A[i])

x = 0
y = 0
z = 0
for i in range(3):
    if a1[i] == 0:
        x += 1
    if a2[i] == 0:
        y += 1
    if a3[i] == 0:
        z += 1

if x == 3 or y == 3 or z == 3:
    print('Yes')
    exit()

for i in range(3):
    if a1[i] == 0 and a2[i] == 0 and a3[i] == 0:
        print('Yes')
        exit()

if a2[1] == 0:
    if a1[0] == 0 and a3[2] == 0 or a1[2] == 0 and a3[0] == 0:
        print('Yes')
        exit()

print('No')