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)

a1 = gets.split.map &:to_i
a2 = gets.split.map &:to_i
a3 = gets.split.map &:to_i
check1 = [0,0,0]
check2 = [0,0,0]
check3 = [0,0,0]
n = gets.to_i
n.times do |a|
    b = gets.to_i
    if a1.include?(b)
        check1[a1.index(b)] = 1
    elsif a2.include?(b)
        check1[a2.index(b)] = 1
    elsif a3.include?(b)
        check1[a3.index(b)] = 1
    end
end

yes = 0
3.times do |a|
    yes = 1 if (check1[a] + check2[a] + check3[a]) == 3
end
yes = 1 if (check1[0] + check2[1] + check3[2]) == 3
yes = 1 if (check1[2] + check2[1] + check3[0]) == 3
if yes == 1
    print "Yes"
elsif (check1.inject(:+) == 3) || (check2.inject(:+) == 3) || (check3.inject(:+) == 3)
    print "Yes"
else
    print "No"
end