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=3.times.map{gets.split.map(&:to_i)}
#puts a1.inspect
a2=a1.flatten
a3=a2.zip(a2.size.times.map{false}).to_h
n=gets.to_i
n.times do
  a3[gets.to_i]=true
end
=begin
a3[60]=true
a3[92]=true
a3[73]=true
puts a3

r1=[true,true,true,false,false,false,false,false,false]
r2=[true,false,false,true,false,false,true,false,false]
r3=[true,false,false,false,true,false,false,false,true]
r4=[false,true,false,false,true,false,false,true,false]
r5=[false,false,true,false,false,true,false,false,true]
r6=[false,false,false,true,true,true,false,false,false]
r7=[false,false,false,false,false,false,true,true,true]
r8=[false,false,true,false,true,false,true,false,false]
=end
#puts a3
res='No'
hv=a3.values
if hv[0]==true
  res='Yes' if (hv[1]==true && hv[2]==true) || (hv[3]==true && hv[6]==true) || (hv[4]==true && hv[8]==true)
end
if hv[1]==true
  res='Yes' if (hv[4]==true && hv[7]==true)
end
if hv[2]==true
  res='Yes' if (hv[5]==true && hv[8]==true) || (hv[4]==true && hv[6]==true)
end
if hv[3]==true
  res='Yes' if (hv[4]==true && hv[5]==true)
end
if hv[6]==true
  res='Yes' if (hv[7]==true && hv[8]==true)
end
puts res