101571: [AtCoder]ABC157 B - Bingo

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.