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: Runtime Error)

fun main(args: Array<String>) {
    val aArray = Array(3) { readIntegerList().map { Pair(it, false) }.toTypedArray() }
    val n = readInteger()
    repeat(n) {
        val b = readInteger()
        for (i in aArray.indices) {
            for (j in aArray[i].indices) {
                if (aArray[i][j].first == b) {
                    aArray[i][j] = Pair(aArray[i][j].first, true)
                }
            }
        }
    }

    var hasBingo = false
    for (i in 0..2) {
        val trueCount = aArray[i].count { it.second }
        if (trueCount == 3) {
            println("Yes")
            return
        }
    }

    for (i in 0..2) {
        var trueCount = 0
        for (j in 0..2) {
            if (aArray[j][i].second) {
                trueCount++
            }
        }

        if (trueCount == 3) {
            println("Yes")
            return
        }
    }

    if (aArray[0][0].second && aArray[1][1].second && aArray[2][2].second) {
        println("Yes")
        return
    }

    if (aArray[0][3].second && aArray[1][2].second && aArray[2][1].second) {
        println("Yes")
        return
    }



    println("No")
}

fun readInteger() = readLine()!!.toInt()
fun readLong() = readLine()!!.toLong()
fun readStringList() = readLine()!!.split(" ")
fun readIntegerList() = readStringList().map(String::toInt)
fun readLongList() = readStringList().map(String::toLong)