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)

as = []
bingo = []

3.times{
	a = gets.split.map(&:to_i)
	as << a
	temp = {}
	a.each{ |aa|
		temp[aa] = false
	}
	bingo << temp
}

3.times{ |i|
	temp = {}
	temp[as[0][i]] = false
	temp[as[1][i]] = false
	temp[as[2][i]] = false
	bingo << temp
}

temp = {}
temp[as[0][0]] = false
temp[as[1][1]] = false
temp[as[2][2]] = false
bingo << temp

temp = {}
temp[as[2][0]] = false
temp[as[1][1]] = false
temp[as[0][2]] = false
bingo << temp

print bingo
puts

n = gets.to_i

n.times{
	b = gets.to_i
	bingo.each{ |bingo_e|
		if bingo_e[b] == false then
			bingo_e[b] = true
		end
	}
}

if bingo.select{ |b| b.values == [true,true,true]}.size > 0 then
	puts 'Yes'
else
	puts 'No'
end