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.chop.split.map(&:to_i)
A2 = gets.chop.split.map(&:to_i)
A3 = gets.chop.split.map(&:to_i)
N = gets.to_i
b = []
N.times { b << gets.to_i }
A1_bng= ['D','D','D']
A2_bng= ['D','D','D']
A3_bng= ['D','D','D']

for n in 0..N-1 do
	bs = b[n]
  	#puts bs
    for num in 0..2 do
      if bs == A1[num] then
        A1_bng[num] = bs
        #puts A1_bng
      elsif bs == A2[num] then
        A2_bng[num] = bs
        #puts A2_bng
      elsif bs == A3[num] then
        A3_bng[num] = bs
       	#puts A2_bng
      end
  	end
end
#puts A1_bng
#puts A2_bng
#puts A3_bng

# A1[0]
if A1_bng[0]!='D' && A1_bng[1]!='D' && A1_bng[2]!='D' then
    puts 'Yes'
elsif A1_bng[0]!='D' && A2_bng[0]!='D' && A3_bng[0]!='D' then
    puts 'Yes'
elsif A1_bng[0]!='D' && A2_bng[1]!='D' && A3_bng[2]!='D' then
    puts 'Yes'

# A1[2]
elsif A1_bng[2]!='D' && A2_bng[1]!='D' && A3_bng[0]!='D' then
    puts 'Yes'
elsif A1_bng[2]!='D' && A2_bng[2]!='D' && A3_bng[2]!='D' then
    puts 'Yes'

# A3[2]
elsif A3_bng[0]!='D' && A3_bng[1]!='D' && A3_bng[2]!='D' then
    puts 'Yes'

# 縦線中央
elsif A1_bng[1]!='D' && A2_bng[1]!='D' && A3_bng[1]!='D' then
    puts 'Yes'

# 横線中央
elsif A2_bng[0]!='D' && A2_bng[1]!='D' && A2_bng[2]!='D' then
    puts 'Yes'   

else 
    puts 'No'
end