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)

# ビンゴカード
def make_card(array)
  card = []
  card.push(array[0].chomp.split(" ").map(&:to_i))
  card.push(array[1].chomp.split(" ").map(&:to_i))
  card.push(array[2].chomp.split(" ").map(&:to_i))
  card
end

# ビンゴ開始
def start(array, card, result)
  res = []
  array[3].to_i.times do |i|
    res = check(card, array[3 + i].to_i, result)
  end
  p bingo?(res) ? 'yes' : 'no'
end

# 検索
def check(card, num, result)
  card.each_with_index do |row, i|
    row.each_with_index do |v, j|
      result[i][j] = num if v == num
    end
  end
  result
end

# ビンゴの判定
def bingo?(result)
  if (result[0][0] && result[0][1] && result[0][2]) ||
     (result[1][0] && result[1][1] && result[1][2]) ||
     (result[2][0] && result[2][1] && result[2][2]) ||
     (result[0][0] && result[1][0] && result[2][0]) ||
     (result[0][1] && result[1][1] && result[2][1]) ||
     (result[0][2] && result[1][2] && result[2][2]) ||
     (result[0][0] && result[1][1] && result[2][2]) ||
     (result[0][2] && result[1][1] && result[2][0])
    true
  else
    false
  end
end

result = [
  [nil, nil, nil],
  [nil, nil, nil],
  [nil, nil, nil]
]

array = readlines.map(&:chomp)
card = make_card(array)
start(array, card, result)