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 C (GCC 5.4.1) (judge verdict: Accepted)

#include <stdio.h>
int main(void) {
  int a11, a12, a13, a21, a22, a23, a31, a32, a33;
  scanf("%d %d %d", &a11, &a12, &a13);
  scanf("%d %d %d", &a21, &a22, &a23);
  scanf("%d %d %d", &a31, &a32, &a33);
  int n, i, x;
  scanf("%d", &n);
  for (i = n; i > 0; i--) {  // n回繰り返す
    scanf("%d", &x);
    if (a11 == x) a11 = 0;
    if (a12 == x) a12 = 0;
    if (a13 == x) a13 = 0;
    if (a21 == x) a21 = 0;
    if (a22 == x) a22 = 0;
    if (a23 == x) a23 = 0;
    if (a31 == x) a31 = 0;
    if (a32 == x) a32 = 0;
    if (a33 == x) a33 = 0;
  }
  //ビンゴか判定する
  if (a11 + a12 + a13 == 0 || a21 + a22 + a23 == 0 || a31 + a32 + a33 == 0)
    printf("Yes\n");
  else if (a11 + a21 + a31 == 0 || a12 + a22 + a32 == 0 || a13 + a23 + a33 == 0)
    printf("Yes\n");
  else if (a11 + a22 + a33 == 0 || a31 + a22 + a13 == 0)
    printf("Yes\n");
  else
    printf("No\n");
  return 0;
}