You are provided a matrix of size N*N with source position at (0,0) and destination at (N-1,N-1) in a 2D array. Some of the positions in the array are marked as 0 which are blocked cells, rest being marked 1.
A path is a connected sequence of elements from (0,0) to (N-1,N-1) which consists of 1. A sequence of 1s in the 2D array is connected if every 1 in the sequence is adjacent (the above or left neighbour) to the next 1 in the sequence.
For example, in the following matrix,
'1' '1' 0
0 '1' '1'
1 0 '1'
the 1s marked in quotes is a connected path from (0,0) to (2,2)
Note that cells at (0,0) and (N-1,N-1) are always 1. You can either make movement towards right or down, i.e., from position (x,y), you can go to either the position (x,y+1) or (x+1,y).
Input
First line consists of the number of test cases and second line consist of size of the input array N (<=50), following that would be the state of NxN maze which would consist of 0s and 1s.
Output
You have to print "POSSIBLE" if there exists a path between the source and the destination otherwise print "NOT POSSIBLE".