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: Accepted)

a1 = gets.split(' ').map(&:to_i)
a2 = gets.split(' ').map(&:to_i)
a3 = gets.split(' ').map(&:to_i)
n = gets.chomp.to_i

b_numbers = []
result = []

n.times{|i|
    b_number = gets.chomp.to_i
    b_numbers << b_number
}

# あたりパターン全部書く
p1 = a1
p2 = a2
p3 = a3
p4 = [a1[0],a2[0],a3[0]]
p5 = [a1[1],a2[1],a3[1]]
p6 = [a1[2],a2[2],a3[2]]
p7 = [a1[0],a2[1],a3[2]]
p8 = [a1[2],a2[1],a3[0]]

patarns = [p1,p2,p3,p4,p5,p6,p7,p8]

patarns.each{|patarn|
    if (patarn + b_numbers).uniq.length == n
        result << 'Yes'
    else
        result << 'No'
    end
}

if result.include?("Yes")
    puts 'Yes'
else
    puts 'No'
end