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 JavaScript (Node.js 12.16.1) (judge verdict: Accepted)

function Main(input) {
  input=input.split("\n");
  if(input[input.length-1]===''){
    input.pop();
  }
  var a=[];
  [0,1,2].forEach(e=>{
    a=a.concat(input[e].split(' '));
  });
  var array=input.concat([]);
  array.shift();
  array.shift();
  array.shift();
  array.shift();
  var temp;
  var flg=true;
  [0,1,2].forEach(e=>{
    temp=true;
    [0,1,2].forEach(f=>{
      temp=temp&&array.includes(a[e*3+f]);
    });
    if(temp){
      if(flg){
        console.log('Yes');
        flg=false;
      }
    }
    temp=true;
    [0,1,2].forEach(f=>{
      temp=temp&&array.includes(a[e+f*3]);
    });
    if(temp){
      if(flg){
        console.log('Yes');
        flg=false;
      }
    }
  });
  temp=true;
  [0,1,2].forEach(e=>{
    temp=temp&&array.includes(a[e*4]);
  });
  if(temp){
      if(flg){
        console.log('Yes');
        flg=false;
      }
  }
  temp=true;
  [0,1,2].forEach(e=>{
    temp=temp&&array.includes(a[2+e*2]);
  });
  if(temp){
    if(flg){
        console.log('Yes');
        flg=false;
      }
  }
  if(flg){
        console.log('No');
        flg=false;
      }
}


//*この行以降は編集しないでください（標準入出力から一度に読み込み、Mainを呼び出します）
Main(require("fs").readFileSync("/dev/stdin", "utf8"));