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 Ruby (2.3.3) (judge verdict: Wrong Answer)

ls = []

#ls = [[84, 97, 66], [79, 89, 11], [61, 59, 7]]

input = []
3.times do
  ls << gets.split(" ").map(&:to_i)
end
n = gets.chomp!.to_i

n.times do
  input << gets.chomp!.to_i
end


# あたり番号格納配列
hit = 0

# [0, 1, 2], [0, 0, 0], [1, 1, 1], [2, 2, 2], [2, 1. 0]
# ls_2に一致パターンを定義
ls_2 = [
  [ls[0][0], ls[1][1], ls[2][2]],
  [ls[0][2], ls[1][2], ls[2][2]],
  [ls[0][1], ls[1][1], ls[2][1]],
  [ls[0][0], ls[1][0], ls[2][0]],
  [ls[0][2], ls[1][1], ls[2][0]]
]
ls_2.each do |e|
  count = 0
  input.each do |num|
    for i in 0..2 do
      if num == e[i]
        count += 1
      end
    end
  end
  if count == 3
    # ビンゴ回数カウント
    hit += 1
  end
end

if hit > 0
  puts "Yes"
else
  puts "No"
end