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 Go (1.6) (judge verdict: Accepted)

package main

import (
	"bufio"
	"fmt"
	"os"
	"strconv"
	"strings"
)

func main() {
	var wtr = bufio.NewWriter(os.Stdout)
	var scanner = bufio.NewScanner(os.Stdin)
	scanner.Split(bufio.ScanLines)
	A := [][]int{{0, 0, 0}, {0, 0, 0}, {0, 0, 0}}
	B := [][]bool{{false, false, false}, {false, false, false}, {false, false, false}}
	for i := 0; i < 3; i++ {
		if scanner.Scan() {
			str := scanner.Text()
			cols := strings.Split(str, " ")
			A[i][0], _ = strconv.Atoi(cols[0])
			A[i][1], _ = strconv.Atoi(cols[1])
			A[i][2], _ = strconv.Atoi(cols[2])
		}
	}
	var N int
	if scanner.Scan() {
		str := scanner.Text()
		N, _ = strconv.Atoi(str)
	}
	for r := 0; r < N; r++ {
		if scanner.Scan() {
			str := scanner.Text()
			a, _ := strconv.Atoi(str)
			for i := 0; i < 3; i++ {
				for j := 0; j < 3; j++ {
					if A[i][j] == a {
						B[i][j] = true
					}
				}
			}
		}
	}

	ans := "No"
	for p := 0; p < 3; p++ {
		if (B[p][0] && B[p][1] && B[p][2]) || (B[0][p] && B[1][p] && B[2][p]) {
			ans = "Yes"
			break
		}
	}
	if (B[0][0] && B[1][1] && B[2][2]) || (B[0][2] && B[1][1] && B[2][0]) {
		ans = "Yes"
	}

	fmt.Fprintln(wtr, ans)
	_ = wtr.Flush()
}