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.io.BufferedReader
import java.io.InputStreamReader

val reader by lazy { BufferedReader(InputStreamReader(System.`in`)) }

@Suppress("ReplaceJavaStaticMethodWithKotlinAnalog")
fun main(a: Array<String>) {
    val card = (0..2).map { reader.readArgs().map(String::toInt) }
    val checker = (0..2).map { (0..2).map { false }.toMutableList() }
    val n = reader.readInt()
    val numbers = (1..n).map { reader.readInt() }

    (0..2).forEach { i ->
        (0..2).forEach { j ->
            checker[i][j] = numbers.any { it == card[i][j] }
        }
    }
    checker.forEach { list ->
        if (list.none { !it }) {
            println("Yes")
            return
        }
    }
    (0..2).forEach { i ->
        if ((0..2).map { j -> checker[j][i] }.none { !it }) {
            println("Yes")
            return
        }
    }
    if ((0..2).map { checker[it][it] }.none { !it }) {
        println("Yes")
        return
    }
    if (arrayListOf(checker[0][2], checker[1][1], checker[2][0]).none { !it }) {
        println("Yes")
        return
    }
    println("No")
}

fun BufferedReader.readArgs() = readLine().split(" ")
fun BufferedReader.readInt() = readLine().toInt()
fun BufferedReader.readLong() = readLine().toLong()
fun BufferedReader.readChar() = readLine().toInt().toChar()
fun BufferedReader.readString() = readLine().toInt().toString()