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 (1.3.71) (judge verdict: Accepted)


fun bingo(sheet:List<List<Int>>, n:Int){
    var bingo = (0 until 3).map{IntArray(3)}

    for(i in 0 until n){
        var tmp = readLine()!!.toInt()
        for(y in 0..2){
            for(x in 0..2){
                if(sheet[y][x] == tmp){
                    bingo[y][x] = 1
                }
            }
        }
    }

    check_bingo(bingo)
}

fun check_bingo(bingo:List<IntArray>){
    var ans = "No"
    //horizon
    for(i in 0..2){
        if(bingo[i].sum() == 3){
            ans = "Yes"
        }
    }

    //vertical
    for(x in 0..2)
        if(bingo[0][x] + bingo[1][x] + bingo[2][x] == 3){
            ans = "Yes"
        }

    //cross
    if(bingo[0][0] + bingo[1][1] + bingo[2][2] == 3 || bingo[0][2] + bingo[1][1] + bingo[2][0] == 3){
        ans = "Yes"
    }

    println(ans)
}

fun main(){
    var sheet = (0 until 3).map{readLine()!!.split(' ').map{it.toInt()}}
    val n = readLine()!!.toInt()
    bingo(sheet,n)
}