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 Haskell (GHC 7.10.3) (judge verdict: Accepted)

{-# LANGUAGE OverloadedStrings #-}
import Data.Char
import Data.List
import Control.Monad
import qualified Data.ByteString.Char8 as BS

main :: IO ()
main = do
  as <- concat <$> replicateM 3 (parseLine <$> BS.getLine)
  n <- head.parseLine <$> BS.getLine
  bs <- concat <$> replicateM n (parseLine <$> BS.getLine)
  BS.putStrLn . BS.pack $ if solve as bs then "Yes" else "No"
  where
     parseLine = unfoldr (BS.readInt . BS.dropWhile isSpace)

solve :: [Int] -> [Int] -> Bool
solve as bs = bingo (map (`elem` bs) as)

bingo :: [Bool] -> Bool
bingo xs = or . map (and . map (xs !!)) $ rows
  where
    rows = [
      [0,1,2]
     ,[3,4,5]
     ,[6,7,8]
     ,[0,3,6]
     ,[1,4,7]
     ,[2,5,8]
     ,[0,4,8]
     ,[2,4,6]
     ]