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: Runtime Error)

def checkRaech(check,num)
  for i in 0 .. 2
    if check[i] + check[i+1] + check[i+2] == 3 then
      return true
    elsif check[0+i] + check[3+i] + check[6+i] == 3 then
      return true
    end
  end
  if check[0] + check[4] + check[8] == 3 then
    return true
  elsif check[2] + check[4] + check[8] == 3 then
    return true
  end
  return false
end
def bingoCheck(bingo, num, check)
  for i in 0 .. 8
    if bingo[i] == num then
      check[i] = 1
      return true
    end
  end
  return false
end

bingo = Array.new(9,0)
check = Array.new(9,0)
for i in 0 .. 2 
  inputLine = gets.chomp.split(" ")
  for j in 0 .. 2
    bingo[i*3 + j] = inputLine[j].to_i
  end
end
n = gets.to_i
for i in 0 .. n-1
  #p check
  inputNum = gets.chomp.to_i
  #check Number
  if bingoCheck(bingo, inputNum, check) == true then
    if checkRaech(check, inputNum) == true then
      puts "Yes"
      return
    end
  end
end 
puts "No"