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 Scala (2.13.1) (judge verdict: Accepted)

import scala.io.StdIn._

object Main extends App {

  val A = Array.fill(3)(readLine().split(" ").map(_.toInt))
  val n = readInt()
  val B = Array.fill(n)(readInt())



  def solve(): String = {
    val r = Array.fill(3, 3)(false)
    for {
      i <- 0 until 3
      j <- 0 until 3
      k <- 0 until n
    } {
      if(A(i)(j) == B(k)) r(i)(j) = true
    }

    var ans = "No"
    for(i <- 0 until 3)
      if(r(0)(i) && r(1)(i) && r(2)(i)) ans = "Yes"
    for(i <- 0 until 3)
      if(r(i)(0) && r(i)(1) && r(i)(2)) ans = "Yes"
    if(r(0)(0) && r(1)(1) && r(2)(2)) ans = "Yes"
    if(r(0)(2) && r(1)(1) && r(2)(0)) ans = "Yes"
    ans
  }

  println(solve())

}