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)

line_1 = []
line_2 = []
line_3 = []

line_1 = gets.split.map(&:to_i)
line_2 = gets.split.map(&:to_i)
line_3 = gets.split.map(&:to_i)

line_flag_1 = [false, false, false]
line_flag_2 = [false, false, false]
line_flag_3 = [false, false, false]

i = gets.to_i

i.times do
  b = gets.to_i
  case b
  when line_1[0]
    line_flag_1[0] = true
  when line_1[1]
    line_flag_1[1] = true
  when line_1[2]
    line_flag_1[2] = true
  when line_2[0]
    line_flag_2[0] = true
  when line_2[1]
    line_flag_2[1] = true
  when line_2[2]
    line_flag_2[2] = true
  when line_3[0]
    line_flag_3[0] = true
  when line_3[1]
    line_flag_3[1] = true
  when line_3[2]
    line_flag_3[2] = true
  else
  end
end

if line_flag_1 == [true, true, true]
  puts "Yes"
elsif line_flag_2 == [true, true, true]
  puts "Yes"
elsif line_flag_3 == [true, true, true]
  puts "Yes"
elsif line_flag_1[0] == true && line_flag_2[0] == true && line_flag_3[0] == true
  puts "Yes"
elsif line_flag_1[1] == true && line_flag_2[1] == true && line_flag_3[1] == true
  puts "Yes"
elsif line_flag_1[2] == true && line_flag_2[2] == true && line_flag_3[2] == true
  puts "Yes"
elsif line_flag_1[0] == true && line_flag_2[1] == true && line_flag_3[2] == true
  puts "Yes"
elsif line_flag_1[2] == true && line_flag_2[1] == true && line_flag_3[0] == true
  puts "Yes"
else 
  puts "No"
end