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 (2.7.1) (judge verdict: Runtime Error)

nom Array.new(3) { Array.new(3,0) }
nom[0][0],nom[0][1],nom[0][2]=gets.split.map!(&:to_i)
nom[1][0],nom[1][1],nom[1][2]=gets.split.map!(&:to_i)
nom[2][0],nom[2][1],nom[2][2]=gets.split.map!(&:to_i)
n=gets.to_i
ans=0
s=Array.new(n)
for i in 0..n-1
  s[i]=gets.to_i
  for j in 0..2
      for k in 0..2
    if s[j][k]==nom[i]
      nom[j][k]="x"
    end
  end
end
for i in 0..3
  if nom[0][i]=="x" || nom[1][i]=="x" || nom[2][i]=="x"
    ans=1
  elsif nom[i][0]=="x" || nom[i][1]=="x" || nom[i][2]=="x"
    ans=1
  end
end
if nom[0][0]=="x" && nom[1][1]=="x" && nom[2][2]=="x"
  ans=1
elsif nom[0][2]=="x" && nom[1][1]=="x" && nom[2][0]=="x"
  ans=1
end
if ans==1
  puts "Yes"
else
  puts "No"
end