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:
$A_{1, 1}$ $A_{1, 2}$ $A_{1, 3}$
$A_{2, 1}$ $A_{2, 2}$ $A_{2, 3}$
$A_{3, 1}$ $A_{3, 2}$ $A_{3, 3}$
$N$
$b_1$
$\vdots$
$b_N$
[samples]