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 Kotlin (1.0.0) (judge verdict: Accepted)

fun main(args: Array<String>) {
    val bingo = (1..3).map {
        readLine()!!.split(" ").map { it.toInt() }
    }
    val N = readLine()!!.toInt()
    val bn = (1..N).map { readLine()!!.toInt() }
    val ans = solve(bingo, N, bn)
    println(ans)
}

fun solve(bingo: List<List<Int>>, N: Int, bn: List<Int>): String {
    //0,1,2
    //3,4,5
    //6,7,8
    //0,3,6
    //1,4,7
    //2,5,8
    //0,4,8
    //2,4,6

    val realBingo = bingo.flatten()
    val bingo1 = listOf(realBingo[0], realBingo[1], realBingo[2])
    val bingo2 = listOf(realBingo[3], realBingo[4], realBingo[5])
    val bingo3 = listOf(realBingo[6], realBingo[7], realBingo[8])
    val bingo4 = listOf(realBingo[0], realBingo[3], realBingo[6])
    val bingo5 = listOf(realBingo[1], realBingo[4], realBingo[7])
    val bingo6 = listOf(realBingo[2], realBingo[5], realBingo[8])
    val bingo7 = listOf(realBingo[0], realBingo[4], realBingo[8])
    val bingo8 = listOf(realBingo[2], realBingo[4], realBingo[6])


    return if (
        bn.containsAll(bingo1) ||
        bn.containsAll(bingo2) ||
        bn.containsAll(bingo3) ||
        bn.containsAll(bingo4) ||
        bn.containsAll(bingo5) ||
        bn.containsAll(bingo6) ||
        bn.containsAll(bingo7) ||
        bn.containsAll(bingo8)
    ) {
        "Yes"
    } else {
        "No"
    }
}

/**
 * ファクション
 */
fun floor(target: Double): Double {
    return Math.floor(target)
}

fun ceil(target: Double): Double {
    return Math.ceil(target)
}