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)

import java.util.*

fun main(args: Array<String>) {
    val b = Array(3) { IntArray(3) { 0 } }
    val check = Array(3) { Array(3) { false } }
    for (i in 0 until 3) {
        b[i] = readLine()!!.split(' ').map { it.toInt() }.toIntArray()
    }
    val N = readLine()!!.toInt()
    for (i in 0 until N) {
        val x = readLine()!!.toInt()
        for (j in 0 until 3) {
            for (k in 0 until 3) {
                if (b[j][k] == x) {
                    check[j][k] = true
                }
            }
        }
    }
    val ok = (check[0][0] && check[0][1] && check[0][2])
            || (check[1][0] && check[1][1] && check[1][2])
            || (check[2][0] && check[2][1] && check[2][2])
            || (check[0][0] && check[1][0] && check[2][0])
            || (check[0][1] && check[1][1] && check[2][1])
            || (check[0][2] && check[1][2] && check[2][2])
            || (check[0][0] && check[1][1] && check[2][2])
            || (check[0][2] && check[1][1] && check[2][0])
    println(if (ok) "Yes" else "No")
}