#abc157b. [abc157_b]Bingo

[abc157_b]Bingo

Problem Statement

We have a bingo card with a 3times33\\times3 grid. The square at the ii-th row from the top and the jj-th column from the left contains the number Ai,jA_{i, j}.

The MC will choose NN numbers, b1,b2,cdots,bNb_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 NN 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.
  • 1leqAi,jleq1001 \\leq A_{i, j} \\leq 100
  • $A_{i_1, j_1} \\neq A_{i_2, j_2} ((i_1, j_1) \\neq (i_2, j_2))$
  • 1leqNleq101 \\leq N \\leq 10
  • 1leqbileq1001 \\leq b_i \\leq 100
  • bineqbj(ineqj)b_i \\neq b_j (i \\neq j)

Input

Input is given from Standard Input in the following format:

A1,1A_{1, 1} A1,2A_{1, 2} A1,3A_{1, 3} A2,1A_{2, 1} A2,2A_{2, 2} A2,3A_{2, 3} A3,1A_{3, 1} A3,2A_{3, 2} A3,3A_{3, 3} NN b1b_1 vdots\\vdots bNb_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 A1,1,A2,1,A2,2,A3,3A_{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.