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)

a = Array.new(9)
x = 0
for i in 0...3 do
    str = gets.split
    for j in 0...3 do
        y = x*3 + j
        a[y] = str[j].to_i
    end
    x += 1
end

N = gets.chomp.to_i
b = Array.new(N)
for i in 0...N do
    b[i] = gets.chomp.to_i
end

c = Array.new(3){Array.new(3,0)}

for i in 0...N do
    for j in 0...9 do
        if a[j] == b[i]
            c[j/3][j%3] += 1
        end
    end
end

answer = 0
for i in 0...3 do
    answer += c[0][i] * c[1][i] * c[2][i]
    answer += c[i][0] * c[i][1] * c[i][2]
end
answer += c[0][0] * c[1][1] * c[2][2]
answer += c[0][2] * c[1][1] * c[2][0]

if answer > 0
    puts "Yes"
else
    puts "No"
end