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 v5.12) (judge verdict: Accepted)

function Main(input) {
  args = input.split('\n')
  const square = []
  for(var i = 0; i < 3; i++){
    square[i] = args[i].split(' ')
  }
  
  const count = args[3]
  const nums = []
  for(var i = 0; i < count; i++){
    nums.push(args[i + 4])
  }
  
  // Ai,jとbnを比較
  const results = []
  for(var i = 0; i < 3; i++){
    results.push([0, 0, 0])
  }
  for(var i = 0; i < 3; i++){
    for(var j = 0; j < 3; j++){
      for(var k = 0; k < nums.length; k++){
        if(square[i][j] === nums[k]) {
          results[i][j] = 1
        }
      }
    }
  }
  
  // ビンゴかどうかをチェック - タテヨコ
  var bingoCount = 0
  var checkedCountAngleRight = 0
  var checkedCountAngleLeft = 0
  for(var i = 0; i < 3; i++) {
    var checkedCountHorizontal = 0
    var checkedCountVertical = 0
    for(var j = 0; j < 3; j++) {
      // ヨコ
      if(results[i][j]) checkedCountHorizontal++
      // タテ
      if(results[j][i]) checkedCountVertical++
    }
    // 右ナナメ
    if(results[i][i]) {
      checkedCountAngleRight++
    }
    // 左ナナメ
    if(results[i][2-i]) {
      checkedCountAngleLeft++
    }
    
    if(checkedCountHorizontal === 3) {
      bingoCount++
    }
    if(checkedCountVertical === 3) {
      bingoCount++
    }
  }
  if(checkedCountAngleRight === 3) {
    bingoCount++
  }
  if(checkedCountAngleLeft === 3) {
    bingoCount++
  }
  if(bingoCount) {
    console.log('Yes')
  } else {
    console.log('No')
  }
}

Main(require("fs").readFileSync("/dev/stdin", "utf8"))