Untitled

Sky map
You are making “sky map” to represent constellation (group of starts) in the sky.

In each element, 1 means star, 0 means empty.

And in a constellation, each start should have at least one connection with others via left/right/up/bottom. 

If two starts are located via diagonal, then

the two stars are not connected (belong to different constellation.)

How many constellations are in your sky map, and what is the number of starts in the greatest constellation?

[Input]

There can be more than one test case in the input.

The first line has T, the number of test cases.

Then the totally T test cases are provided in the following lines (T<=10)

In each test case, the first line has an integer N(5 ≤ N ≤ 25), the size of map.

The map is a square, and is represented as N x N matrix.

For next N lines, each contains each raw of the matrix

[Output]

For each test case, you should print the number of constellation and the number of starts in the greatest constellation separated by blank.

[I/O Example]

Input

2

7

0 1 1 0 0 0 0

0 1 1 0 1 0 0

1 1 1 0 1 0 1

0 0 0 0 1 1 1

1 0 0 0 0 0 0

0 1 1 1 1 1 0

0 1 0 1 1 0 0

5

0 1 0 0 0

0 1 0 0 0

0 1 0 0 0

0 0 0 0 0

0 0 0 0 0

Output

4 8

1 3

5
5
1 0 0 0 0
0 1 1 1 0
1 1 0 0 0
1 0 1 1 1
0 0 1 0 1
9
0 0 1 1 1 1 1 1 1
0 0 1 0 0 0 0 1 1
1 0 1 0 1 0 0 0 1
1 1 1 1 1 0 1 0 1
0 0 1 0 0 1 1 0 0
0 0 0 0 1 1 0 0 0
0 1 1 0 0 0 0 1 0
1 0 1 0 0 1 0 1 0
1 1 1 0 0 1 1 1 1
17
1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0
0 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0
0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 0
0 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0
0 0 0 0 1 1 0 0 0 0 0 0 1 1 0 0 0
0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 0 0
0 0 1 1 0 0 0 1 1 1 1 0 0 0 1 1 0
0 1 1 0 0 0 0 1 0 0 1 0 0 0 1 1 0
1 1 0 0 0 0 0 1 0 0 1 0 0 0 0 1 1
0 1 1 0 0 0 0 1 1 1 1 0 0 0 0 1 1
0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0
0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 0 0
0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0
0 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0
0 0 0 0 0 0 1 1 0 0 1 1 0 0 1 1 0
0 1 0 0 0 0 0 1 1 1 1 0 0 0 1 1 0
0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0
7
0 1 1 0 0 0 0
0 1 1 0 1 0 0
1 1 1 0 1 0 1
0 0 0 0 1 1 1
1 0 0 0 0 0 0
0 1 1 1 1 1 0
0 1 0 1 1 0 0
5
0 1 0 0 0
0 1 0 0 0
0 1 0 0 0
0 0 0 0 0
0 0 0 0 0

Princess

10
4
1 0 1 1
1 1 2 0
0 1 0 1
1 0 1 1
5
1 0 1 1 0
1 0 0 0 0
1 1 2 1 1
1 1 1 0 1
1 0 1 0 1
6
1 1 0 2 1 1
0 1 0 1 0 1
0 1 0 1 0 1
0 0 0 1 0 1
0 0 0 1 0 1
1 1 1 1 0 1
5
1 1 0 1 0
1 0 2 1 1
1 0 1 1 1
1 1 1 0 1
1 1 1 0 1
10
1 0 1 1 1 1 1 1 1 1
1 0 1 0 0 0 0 0 0 1
1 0 1 0 1 1 1 1 0 1
1 0 1 0 1 0 0 1 0 1
1 0 1 0 1 0 0 1 0 1
1 0 1 0 1 2 0 1 0 1
1 0 1 0 0 0 0 1 0 1
1 0 1 1 1 1 1 1 0 1
1 0 0 0 0 0 0 0 0 1
1 1 1 1 1 1 1 1 1 1
21
1 1 1 0 1 0 0 0 0 0 1 1 1 1 1 1 1 0 1 0 1 
0 0 1 0 0 1 0 0 1 1 1 1 0 1 0 1 1 1 1 1 1 
1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 1 
1 0 0 0 1 0 0 0 1 0 1 0 0 0 1 1 0 1 1 0 1 
1 0 0 0 1 0 0 1 0 1 1 0 0 0 1 1 1 1 1 0 1 
1 1 1 1 1 1 1 0 0 0 1 1 1 1 0 0 0 1 0 1 1 
1 0 1 0 1 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 
1 1 0 0 1 0 0 1 0 0 1 0 1 0 1 0 1 0 1 1 1 
1 0 1 0 1 0 0 1 0 1 0 1 1 0 1 1 0 0 0 0 1 
1 1 1 0 1 1 1 0 1 1 0 1 0 1 1 0 1 1 0 0 1 
0 1 0 1 1 0 1 1 1 1 1 1 0 1 0 0 0 0 0 0 1 
1 1 1 1 1 0 0 0 1 0 1 0 1 0 1 1 0 0 1 0 1 
0 1 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 1 1 0 1 
1 1 0 0 0 1 1 1 0 1 1 1 1 0 1 0 1 0 0 1 1 
0 2 1 1 1 1 0 1 0 0 1 1 0 1 1 0 1 0 0 1 1 
1 1 0 1 1 1 1 0 1 1 1 1 0 0 1 0 0 1 0 0 1 
0 1 0 1 1 1 1 1 0 0 0 1 1 0 1 0 0 0 1 1 1 
0 1 1 1 0 1 0 0 1 0 1 1 0 0 0 1 1 0 1 0 1 
0 0 1 1 0 1 0 1 1 0 0 0 0 0 0 1 1 0 1 1 0 
1 1 0 1 0 0 1 0 0 1 1 0 1 1 1 1 0 1 0 1 1 
1 0 1 1 1 1 0 0 0 0 0 0 1 0 1 0 0 0 1 1 1 
37
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 1 0 1 0 0 1 1 0 1 0 1 0 1 
1 1 0 1 1 0 1 1 0 1 1 1 0 1 0 0 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 0 1 
1 0 0 1 1 0 1 1 0 0 0 0 0 0 1 0 0 1 0 1 1 0 0 0 1 1 1 1 1 0 0 0 1 0 1 0 1 
1 0 0 0 1 1 1 1 0 0 0 1 0 1 1 1 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 
1 0 0 0 0 0 1 0 0 1 0 1 0 1 0 1 0 1 1 1 0 0 1 0 0 0 0 1 0 1 0 0 1 0 1 1 0 
1 0 0 1 1 0 1 0 1 1 1 0 1 1 0 1 0 1 1 0 1 1 0 0 1 0 0 0 1 1 0 1 1 1 1 1 1 
1 1 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 1 0 1 0 1 1 0 0 1 0 0 1 1 0 0 0 0 1 
1 1 0 0 0 1 2 0 1 1 1 1 0 0 1 1 0 0 0 1 1 1 0 1 1 1 1 0 1 0 1 0 0 1 1 0 0 
1 0 1 1 1 1 0 0 1 1 0 1 1 0 1 0 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0 0 1 0 0 1 
1 0 1 0 1 0 1 1 1 1 1 0 0 0 1 1 0 1 0 0 0 1 0 0 0 1 1 1 0 1 0 0 1 0 1 1 0 
1 0 1 1 0 1 0 0 0 0 1 1 0 1 0 1 1 0 0 0 0 0 0 1 1 0 1 1 0 1 1 0 1 0 0 1 0 
1 1 1 0 1 1 1 1 0 1 0 1 1 1 0 1 1 1 1 0 0 0 0 0 0 1 0 1 0 0 1 1 1 1 1 1 1 
1 0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 1 0 0 0 1 0 1 0 1 1 0 0 1 0 
0 1 1 1 1 1 1 1 0 1 0 0 0 1 0 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 1 0 1 
0 1 0 1 0 0 1 1 1 0 0 1 1 0 1 0 1 0 1 1 1 0 0 0 1 0 1 0 1 0 1 0 0 0 1 1 0 
0 0 1 0 1 1 1 1 1 0 0 1 0 1 0 1 1 1 1 1 1 1 0 0 1 1 0 0 0 0 0 1 1 0 1 1 1 
1 1 1 0 1 0 1 0 0 1 1 1 1 1 1 0 0 0 1 1 0 0 1 1 1 0 1 0 0 1 0 1 0 0 1 0 1 
1 1 1 0 0 1 1 0 0 0 1 0 1 0 1 1 0 0 0 1 0 0 1 1 1 0 0 1 0 1 1 0 1 1 0 1 1 
0 0 1 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 1 0 1 0 1 1 1 1 1 0 0 1 0 1 0 1 1 
0 1 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 1 0 0 1 0 
1 1 1 0 0 0 1 0 1 1 1 0 1 0 1 0 0 0 1 1 0 0 0 1 0 1 1 1 1 1 0 1 1 1 0 1 1 
0 1 1 1 1 1 1 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 1 0 
0 1 0 0 1 1 1 1 1 0 0 1 0 0 1 1 0 0 0 0 0 0 1 1 0 1 0 0 1 1 1 0 0 1 0 1 0 
0 0 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 0 0 0 1 0 1 0 1 0 0 0 1 1 1 0 1 0 
0 0 0 1 1 0 1 0 1 1 0 1 1 0 0 1 0 0 0 1 1 1 0 1 0 1 1 1 1 1 0 0 1 1 0 1 0 
0 1 0 1 0 0 1 1 1 1 1 1 1 0 0 1 0 1 1 1 1 0 1 0 0 0 0 1 0 0 0 0 1 1 1 1 1 
0 0 1 0 1 0 0 1 1 0 1 0 1 1 0 0 0 0 1 1 0 1 1 1 1 1 0 1 0 1 0 0 1 1 0 0 0 
1 1 0 1 0 1 1 0 0 0 0 0 1 1 0 0 0 1 0 1 0 1 1 0 1 0 1 1 0 1 1 0 0 1 1 1 1 
1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 1 0 0 1 0 
1 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 1 0 1 0 1 0 1 0 0 1 1 1 1 
0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 1 0 1 0 1 0 1 1 0 1 0 
1 1 0 1 0 1 0 1 0 0 0 1 1 1 1 1 0 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 1 1 
1 1 1 1 1 1 1 1 0 0 1 1 0 0 1 0 1 0 1 1 1 1 1 0 0 1 0 0 0 0 0 1 0 0 0 1 1 
0 0 0 0 1 0 0 0 1 0 1 1 1 1 1 0 0 1 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 0 1 1 0 
1 0 0 0 1 0 1 0 0 0 1 1 1 0 1 0 1 0 1 0 0 0 0 1 1 0 0 1 0 0 1 1 1 0 1 0 0 
1 0 1 0 1 0 1 1 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 0 1 0 0 1 1 1 1 1 1 1 1 1 0 
1 0 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 0 0 0 0 1 0 0 1 1 1 1 1 0 0 0 0 0 0 1 1 
50
1 1 0 0 1 0 0 0 0 0 1 1 1 1 1 1 1 0 1 0 1 0 0 1 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 0 1 1 0 1 1 0 1 1 1 0 
1 0 0 1 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 0 1 1 0 0 0 0 0 0 1 0 0 1 0 1 1 0 0 0 1 1 
1 0 1 1 0 0 1 0 1 0 1 1 0 0 0 1 1 1 1 0 0 0 1 0 1 1 1 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 1 0 
1 0 0 1 1 0 1 1 0 1 0 1 0 1 0 1 1 1 0 0 1 0 0 0 0 1 0 1 0 0 1 0 1 1 0 0 0 0 1 1 0 1 0 1 1 1 0 1 1 0 
1 1 1 1 0 1 1 0 0 1 0 0 0 1 1 0 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 1 0 1 0 1 1 0 0 1 
0 0 0 1 0 1 0 0 1 1 1 0 0 0 1 0 0 1 1 1 1 0 0 1 1 0 0 0 1 1 1 0 1 1 1 1 0 1 0 1 0 0 1 1 0 0 1 0 1 1 
0 1 0 0 1 1 0 1 1 0 1 0 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0 0 1 0 0 1 0 0 1 0 1 0 1 1 1 1 1 0 0 0 1 1 0 
1 0 0 0 1 0 0 0 1 1 1 0 1 0 0 1 0 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 0 1 0 1 1 0 0 0 0 0 0 1 1 0 1 1 0 1 
1 0 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 1 1 1 0 1 1 1 1 0 0 0 0 0 0 1 0 1 0 0 0 1 1 1 0 0 1 1 0 0 0 1 0 
1 1 0 0 0 1 1 0 0 1 1 0 0 0 1 0 0 1 0 0 0 1 0 1 0 1 1 0 0 1 0 0 1 1 1 0 1 1 1 0 1 0 0 0 1 0 1 1 1 1 
0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 1 0 1 0 1 0 1 0 0 1 1 1 0 0 1 1 0 1 0 1 0 1 1 1 0 0 0 1 0 1 0 1 0 1 0 
0 0 1 1 0 0 0 1 0 1 1 1 1 1 0 0 1 0 1 0 1 1 1 1 1 1 1 0 0 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 1 0 1 0 1 0 
0 1 1 1 1 1 1 1 0 0 1 1 0 0 1 1 1 0 1 0 0 1 0 1 0 0 1 0 1 1 1 1 0 0 1 1 0 0 0 1 0 1 0 1 1 0 0 0 1 0 
0 1 1 1 1 0 1 0 1 1 0 1 1 0 1 0 0 0 1 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 1 0 1 0 1 1 1 1 1 0 0 1 0 1 
0 0 1 0 1 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 1 0 0 1 0 1 1 1 0 0 0 1 0 1 1 
1 0 1 0 1 0 0 0 1 1 0 0 0 1 0 1 1 1 1 1 0 1 1 1 0 1 1 0 1 1 1 1 1 1 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 1 
0 1 1 0 1 0 1 1 0 0 1 1 1 0 0 1 0 0 1 1 1 1 1 0 0 1 0 0 1 1 0 0 0 0 0 0 1 1 0 1 0 0 1 1 1 0 0 1 0 0 
0 0 0 0 1 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 0 0 0 1 0 1 0 1 0 0 0 1 1 1 0 0 0 0 0 0 1 1 0 1 0 1 1 0 1 
1 0 0 1 1 0 0 1 1 1 0 1 0 1 1 1 1 1 0 0 1 1 0 1 0 0 1 0 1 0 0 1 1 1 1 1 1 1 0 0 1 0 1 1 1 1 0 1 0 0 
0 0 1 0 1 0 0 1 1 1 1 1 0 0 1 0 1 0 0 1 1 0 1 0 1 1 0 0 0 0 1 1 0 1 1 1 1 1 0 1 0 1 0 0 1 1 0 0 0 1 
1 0 1 0 1 1 0 0 0 0 0 1 1 0 0 0 1 0 1 0 1 1 0 1 0 1 1 0 1 1 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 1 
0 0 1 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 1 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 1 0 1 
0 1 0 1 1 0 1 1 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 0 0 1 0 1 0 1 0 1 1 0 1 0 1 1 0 
1 0 1 0 1 0 0 0 1 1 1 1 1 0 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 1 1 1 1 1 1 1 1 1 0 0 1 1 0 0 1 0 
1 0 1 1 1 1 0 0 0 1 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 1 0 0 0 1 0 1 1 1 1 1 0 0 1 0 1 0 0 1 0 0 0 1 0 1 
0 1 1 0 2 0 1 0 1 0 0 0 1 0 1 0 0 0 1 1 1 0 1 0 1 0 1 0 0 0 0 1 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 1 0 1 
0 1 1 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 0 1 0 0 1 1 1 1 1 1 0 0 0 0 1 0 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 0 
0 0 0 1 0 1 1 1 1 0 1 0 0 0 0 0 0 1 0 1 1 1 0 1 1 0 0 0 0 1 1 0 1 0 1 1 1 1 0 0 1 0 0 0 0 0 1 0 0 1 
0 1 1 0 0 0 0 1 0 0 0 0 1 0 1 0 0 1 1 1 1 1 1 0 0 0 1 1 0 1 1 0 0 0 1 1 0 0 1 0 0 1 1 1 1 0 0 1 0 1 
0 0 0 1 1 1 0 1 1 1 0 1 0 1 1 1 1 1 0 1 0 0 0 0 0 1 0 1 1 1 0 0 0 0 1 0 1 1 0 1 0 0 0 1 1 1 0 0 1 1 
0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 0 1 0 1 1 0 1 1 1 0 0 0 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 0 
0 1 1 0 0 1 1 1 0 1 1 0 0 0 1 1 1 0 0 1 1 0 0 1 1 1 1 1 0 0 0 1 1 0 0 1 1 0 0 1 1 1 1 1 0 0 0 0 1 1 
1 0 1 1 0 1 1 1 0 0 1 0 0 1 0 0 0 1 1 1 1 1 1 0 1 1 0 0 0 1 1 0 0 0 1 0 0 0 1 1 0 1 1 1 0 1 1 0 0 1 
0 1 1 1 1 0 0 1 0 1 1 0 0 1 0 1 1 0 1 0 1 0 0 0 0 1 1 1 1 1 0 1 1 1 1 0 0 1 1 1 1 0 1 1 0 1 1 0 0 1 
1 0 1 1 0 0 1 0 1 1 0 1 0 0 0 0 1 0 0 1 0 0 1 0 1 0 1 0 1 1 0 0 0 0 0 1 0 0 1 1 0 1 0 0 1 1 1 1 0 0 
1 1 1 0 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 0 0 0 1 0 0 1 0 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 0 1 1 1 0 1 
0 0 0 1 1 0 0 0 1 1 0 1 0 1 0 0 1 1 1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 0 1 0 0 0 1 0 1 0 1 0 0 0 1 0 0 0 
0 0 0 1 0 0 0 1 1 0 1 0 0 1 1 0 1 0 1 0 1 0 1 1 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 0 1 1 1 1 
1 1 0 1 1 1 1 0 1 1 0 0 0 0 1 1 0 0 1 0 1 1 0 1 0 0 1 0 1 0 0 0 1 1 1 0 1 1 1 0 1 0 0 1 1 0 1 0 1 1 
1 0 0 1 1 1 1 1 1 0 1 1 0 1 1 0 0 0 0 1 0 0 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 0 0 1 1 1 1 0 1 0 
0 0 0 1 1 0 0 0 1 0 0 1 1 0 0 1 0 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 
1 0 0 1 1 1 1 0 1 0 1 0 1 1 1 1 0 1 0 1 1 0 0 0 1 1 0 0 1 0 0 1 1 1 0 0 1 1 1 1 0 1 1 1 1 1 1 1 0 1 
1 1 0 0 1 1 1 1 1 0 0 0 0 1 1 0 1 1 1 0 1 1 0 1 0 1 1 0 1 1 1 0 0 0 0 1 0 0 1 0 0 1 1 0 1 0 1 0 0 0 
0 1 1 1 1 1 1 0 1 1 0 1 1 1 0 1 0 1 0 0 0 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1 1 1 0 1 0 0 0 1 1 
1 1 0 1 0 1 0 1 1 0 0 1 0 1 0 0 1 0 1 0 0 0 0 1 1 0 1 0 0 1 0 0 0 1 1 1 1 1 0 1 0 0 1 1 1 0 0 1 0 1 
0 1 0 0 1 0 0 0 1 0 1 1 0 1 0 1 1 1 1 0 0 1 0 1 1 1 0 0 1 0 0 0 0 1 0 1 0 1 0 0 0 0 1 0 0 1 1 1 1 0 
0 0 0 0 0 1 1 0 0 1 1 0 0 1 1 1 1 0 1 1 1 0 0 1 1 0 0 0 0 1 1 0 1 0 0 1 1 0 1 1 0 1 1 1 0 0 1 0 1 1 
0 0 1 1 1 1 0 1 0 1 0 1 1 1 1 0 1 1 1 0 1 1 1 0 0 1 1 1 1 1 1 1 0 1 0 0 0 1 0 1 0 0 1 0 0 0 0 1 1 0 
1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 1 1 1 0 1 0 1 1 0 1 0 1 1 1 1 0 1 0 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 
1 0 1 0 1 1 0 1 0 0 1 0 1 0 0 1 0 1 0 1 0 0 1 1 0 1 0 1 0 0 1 0 1 1 1 0 0 0 1 0 1 1 0 0 0 0 0 1 1 1 
100
1 1 0 0 1 0 0 0 0 0 1 1 1 1 1 1 1 0 1 0 1 0 0 1 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 0 1 1 0 1 1 0 1 1 1 0 1 0 0 1 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 0 1 1 0 0 0 0 0 0 1 0 0 1 0 1 1 0 0 0 1 1 
1 1 1 0 0 0 1 0 1 0 1 1 0 0 0 1 1 1 1 0 0 0 1 0 1 1 1 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 1 0 0 1 0 1 0 1 0 1 0 1 1 1 0 0 1 0 0 0 0 1 0 1 0 0 1 0 1 1 0 0 0 0 1 1 0 1 0 1 1 1 0 1 1 0 
1 0 1 1 0 1 1 0 0 1 0 0 0 1 1 0 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 1 0 1 0 1 1 0 0 1 0 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 1 1 0 0 1 1 0 0 0 1 1 1 0 1 1 1 1 0 1 0 1 0 0 1 1 0 0 1 0 1 1 
0 1 0 0 1 1 0 1 1 0 1 0 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0 0 1 0 0 1 0 0 1 0 1 0 1 1 1 1 1 0 0 0 1 1 0 1 0 0 0 1 0 0 0 1 1 1 0 1 0 0 1 0 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 0 1 0 1 1 0 0 0 0 0 0 1 1 0 1 1 0 1 
1 0 1 0 0 1 0 0 1 1 0 1 1 1 1 0 1 0 1 1 1 0 1 1 1 1 0 0 0 0 0 0 1 0 1 0 0 0 1 1 1 0 0 1 1 0 0 0 1 0 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 1 0 0 0 1 0 1 0 1 1 0 0 1 0 0 1 1 1 0 1 1 1 0 1 0 0 0 1 0 1 1 1 1 
0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 1 0 1 0 1 0 1 0 0 1 1 1 0 0 1 1 0 1 0 1 0 1 1 1 0 0 0 1 0 1 0 1 0 1 0 0 0 1 1 0 0 0 1 0 1 1 1 1 1 0 0 1 0 1 0 1 1 1 1 1 1 1 0 0 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 1 0 1 0 1 0 
0 1 1 1 1 1 1 0 0 0 1 1 0 0 1 1 1 0 1 0 0 1 0 1 0 0 1 0 1 1 1 1 0 0 1 1 0 0 0 1 0 1 0 1 1 0 0 0 1 0 0 1 1 1 0 0 1 0 1 1 0 1 1 0 1 0 0 0 1 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 1 0 1 0 1 1 1 1 1 0 0 1 0 1 
0 0 1 0 1 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 1 0 0 1 0 1 1 1 0 0 0 1 0 1 1 1 0 1 0 1 0 0 0 1 1 0 0 0 1 0 1 1 1 1 1 0 1 1 1 0 1 1 0 1 1 1 1 1 1 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 1 
0 1 1 0 1 0 1 1 0 0 1 1 1 0 0 1 0 0 1 1 1 1 1 0 0 1 0 0 1 1 0 0 0 0 0 0 1 1 0 1 0 0 1 1 1 0 0 1 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 0 0 0 1 0 1 0 1 0 0 0 1 1 1 0 0 0 0 0 0 1 1 0 1 0 1 1 0 1 
1 0 0 1 0 0 0 1 1 1 0 1 0 1 1 1 1 1 0 0 1 1 0 1 0 0 1 0 1 0 0 1 1 1 1 1 1 1 0 0 1 0 1 1 1 1 0 1 0 0 0 0 1 0 0 0 0 1 1 1 1 1 0 0 1 0 1 0 0 1 1 0 1 0 1 1 0 0 0 0 1 1 0 1 1 1 1 1 0 1 0 1 0 0 1 1 0 0 0 1 
1 0 1 0 1 1 0 0 0 0 0 1 1 0 0 0 1 0 1 0 1 1 0 1 0 1 1 0 1 1 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 1 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 1 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 1 0 1 
0 1 0 1 0 0 1 1 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 0 0 1 0 1 0 1 0 1 1 0 1 0 1 1 0 1 0 1 0 1 0 0 0 1 1 1 1 1 0 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 1 1 1 1 1 1 1 1 1 0 0 1 1 0 0 1 0 
1 0 1 1 1 1 0 0 0 1 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 1 0 0 0 1 0 1 1 1 1 1 0 0 1 0 1 0 0 1 0 0 0 1 0 1 0 1 1 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 1 1 1 0 1 0 1 0 1 0 0 0 0 1 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 1 0 1 
0 1 1 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 0 1 0 0 1 1 1 1 1 1 0 0 0 0 1 0 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 0 1 0 1 1 1 0 1 1 0 0 0 0 1 1 0 1 0 1 1 1 1 0 0 1 0 0 0 0 0 1 0 0 1 
0 1 1 0 0 0 0 1 0 0 0 0 1 0 1 0 0 1 1 1 1 1 1 0 0 0 1 1 0 1 1 0 0 0 1 1 0 0 1 0 0 1 1 1 1 0 0 1 0 1 0 0 0 1 1 1 0 1 1 0 0 1 0 1 1 1 1 1 0 1 0 0 0 0 0 1 0 1 1 1 0 0 0 0 1 0 1 1 0 1 0 0 0 1 1 1 0 0 1 1 
0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 0 1 0 1 1 0 1 1 1 0 0 0 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 0 0 1 1 0 0 1 1 1 0 0 1 0 0 0 1 1 1 0 0 1 1 0 0 1 1 1 1 1 0 0 0 1 1 0 0 1 1 0 0 1 1 1 1 1 0 0 0 0 1 1 
1 0 1 1 0 1 1 1 0 0 1 0 0 1 0 0 0 1 1 1 1 1 1 0 1 1 0 0 0 1 1 0 0 0 1 0 0 0 1 1 0 1 1 1 0 1 1 0 0 1 0 1 1 1 1 0 0 1 0 0 1 0 0 1 0 1 1 0 1 0 1 0 0 0 0 1 1 1 1 1 0 1 1 1 1 0 0 1 1 1 1 0 1 1 0 1 1 0 0 1 
1 0 1 1 0 0 1 0 1 1 0 1 0 0 0 0 1 0 0 1 0 0 1 0 1 0 1 0 1 1 0 0 0 0 0 1 0 0 1 1 0 1 0 0 1 1 1 1 0 0 1 1 1 0 0 1 0 1 0 1 0 1 0 1 1 1 1 0 1 0 0 0 1 0 0 1 0 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 0 1 1 1 0 1 
0 0 0 1 1 0 0 0 1 1 0 1 0 1 0 0 1 1 1 1 1 1 0 1 1 0 0 1 0 0 1 1 1 0 1 0 0 0 1 0 1 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 1 0 1 0 0 1 1 0 1 0 1 0 1 0 1 1 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 0 1 1 1 1 
1 1 0 1 1 1 1 0 1 1 0 0 0 0 1 1 0 0 1 0 1 1 0 1 0 0 1 0 1 0 0 0 1 1 1 0 1 1 1 0 1 0 0 1 1 0 1 0 1 1 1 0 0 1 1 1 1 1 1 0 1 1 0 1 1 0 0 0 0 1 0 0 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 0 0 1 1 1 1 0 1 0 
0 0 0 1 1 0 0 0 1 0 0 1 1 0 0 1 0 1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 1 0 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 1 0 0 1 1 1 1 0 1 0 1 0 1 1 1 1 0 1 0 1 1 0 0 0 1 1 0 0 1 0 0 1 1 1 0 0 0 1 1 1 0 1 1 1 1 1 1 1 0 1 
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1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

Laughing Bomb
You are busy to promote a newly released film in a movie theater. The title is ‘Biochemical Laughing Bomb’ which is about terror.
Guerrillas drop a biochemical laughing bomb in the middle of a city. Once exposed, you have to laugh all your life. The bomb will contaminate four people around it during 1 second, and another four around each of them during another one second. However, you won’t be contaminated if you are not in the adjacent four directions. as the below shows the location of the bomb and affected people, and shows contamination process in seconds and you can figure out that the whole city is contaminated in 8 seconds.
In order to protect the city from the epidemic, create a program that figures out when the city will be contaminated by the bomb for the last.












Time limit: 1 second (java: 2 seconds)

[Input]
Several test cases can be included in the inputs. T, the number of cases is given in the first row of the inputs. After that, the test cases as many as T (T ≤ 30) are given in a row.
The row and column of the city, N and M are given by being separated with a blank on the first row of each test case. (1 ≤ N, M ≤ 100)
The status within city is given by being separated with a blank from the second row to N number rows. 1 means people exist and 0 means people do not exist.
The coordinate of the row and column on which the bomb fall is given by being separated with a blank on the last row.

[Output]
Output how long does it take to contaminate al people on the first row of each test case.

[I/O Example]

Input
2
7 8
0 0 1 1 0 0 0
1 1 1 1 0 1 0
0 0 1 1 1 1 1
0 1 1 1 1 1 1
0 1 0 0 1 1 0
0 1 1 1 1 0 0
0 0 1 0 1 1 1
0 0 0 0 1 0 0
2 5
10 10
1 1 1 1 0 1 1 0 0 0
0 1 1 1 1 1 0 1 1 0
0 0 1 1 0 1 0 1 1 1
0 1 1 1 1 1 0 0 1 1
0 1 0 1 0 1 1 1 1 0
0 0 0 0 0 1 1 0 0 0
1 0 1 0 1 0 1 1 0 0
0 0 1 1 1 1 1 1 1 1
1 0 1 0 0 1 0 1 1 0
1 1 1 0 0 0 0 1 1 1
2 2

Output
8
21

10
10 10
1 1 1 1 0 1 1 0 0 0
0 1 1 1 1 1 0 1 1 0
0 0 1 1 0 1 0 1 1 1
0 1 1 1 1 1 0 0 1 1
0 1 0 1 0 1 1 1 1 0
0 0 0 0 0 1 1 0 0 0
1 0 1 0 1 0 1 1 0 0
0 0 1 1 1 1 1 1 1 1
1 0 1 0 0 1 0 1 1 0
1 1 1 0 0 0 0 1 1 1
2 2
15 10
0 0 0 0 0 1 0 0 1 1 0 1 0 1 0
1 0 1 0 0 1 1 0 0 1 0 1 0 1 0
1 1 1 1 1 0 1 1 0 1 0 1 0 1 1
0 0 1 0 1 1 1 1 1 1 0 1 0 0 1
0 1 1 1 1 0 0 0 1 1 1 1 0 1 1
0 1 0 0 1 1 1 1 1 1 0 1 1 1 1
0 1 0 1 1 1 0 1 0 0 0 0 0 0 1
1 1 0 1 1 1 1 1 1 1 0 1 1 1 1
0 1 0 1 0 1 0 0 0 1 1 1 0 0 1
0 0 0 1 0 1 1 0 1 1 0 0 0 0 0
2 3
30 40
1 1 1 1 0 1 1 1 0 1 0 0 0 1 0 1 1 1 0 0 0 1 1 1 1 0 1 0 1 0
0 0 1 0 0 0 1 0 1 1 0 1 0 1 1 0 1 1 0 1 0 0 0 1 0 0 1 1 1 1
1 0 1 1 1 1 1 1 0 1 1 1 0 0 1 0 1 1 0 1 0 0 1 1 1 0 1 1 1 1
0 0 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 0 0
0 0 1 1 1 0 1 0 0 1 1 0 0 1 1 0 0 1 0 1 1 1 0 1 0 1 1 0 0 0
0 1 0 1 1 1 1 1 1 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 0 0 1 0 0 1
1 1 1 1 1 1 0 0 0 0 1 0 0 1 1 0 1 0 0 0 1 1 0 1 1 1 1 1 1 1
0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 1 1
1 1 1 1 1 1 0 0 0 0 0 0 1 0 1 0 1 1 0 1 0 1 1 0 1 0 1 0 1 1
0 1 1 0 0 1 1 1 0 0 1 0 1 1 1 0 0 0 1 0 0 1 0 0 1 1 0 0 0 1
1 1 0 1 1 1 0 1 0 0 1 0 1 1 0 1 1 1 1 0 1 1 1 0 1 0 0 0 0 1
1 1 1 1 1 0 0 1 1 1 1 1 1 0 1 0 1 0 1 0 0 0 1 1 1 1 0 0 1 1
0 1 0 0 0 1 1 1 0 0 0 0 1 1 1 1 1 0 0 1 0 1 1 0 0 1 1 0 0 1
0 1 1 0 0 1 1 1 0 1 0 0 1 1 0 0 1 1 0 1 1 1 0 1 1 0 1 1 1 1
1 1 0 1 0 0 1 0 1 0 1 1 0 0 0 1 0 1 1 1 0 1 0 1 0 0 0 0 1 1
1 1 0 1 1 1 0 1 0 0 0 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 0 0 0 1 1 1 1 0 0 1 1 1 0 1 1 0 1 1 0 0 1 0 0 1
0 0 0 1 1 1 0 1 1 0 0 1 1 1 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 1
0 0 0 1 0 1 1 1 0 1 1 0 1 0 0 1 0 1 0 0 1 1 1 1 1 0 1 1 1 1
0 0 1 1 1 0 0 0 0 1 0 1 0 0 0 0 0 1 1 0 0 1 1 1 0 0 0 1 0 0
1 1 1 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 1 1 1 1 1 0 0 1 1 1 1 0
0 0 1 1 1 0 1 0 1 1 0 1 0 0 0 1 0 1 0 1 1 1 0 0 0 1 0 0 1 1
1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 0
0 1 1 1 0 1 0 0 0 0 0 1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 0 1 1 0
0 0 0 0 0 0 1 1 1 0 0 1 1 0 1 1 0 1 0 1 1 0 0 0 1 1 0 0 1 1
0 0 1 1 1 0 1 1 1 0 1 0 0 0 1 1 0 1 0 0 1 1 0 1 1 0 1 0 0 1
1 1 0 1 0 1 1 0 1 1 0 0 1 0 0 1 1 0 1 0 0 0 1 0 1 1 0 1 1 1
0 0 0 1 1 0 0 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 1 1 0 0 1 0 1 1
0 0 0 0 1 0 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 0 0 0 1 0 1 0
0 1 1 0 0 0 1 1 0 1 1 0 0 1 1 1 1 1 0 1 0 0 0 0 0 0 0 1 0 0
0 1 0 1 1 0 1 0 1 1 0 1 0 1 0 0 1 0 0 0 0 1 0 0 1 0 1 0 0 1
1 0 0 1 0 1 1 0 1 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 1 0 0 1 1 1
1 1 0 1 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 1 1 1 0 0 1 1 1 1 0 1
0 1 0 1 1 0 0 0 1 0 1 0 1 1 0 1 0 1 1 0 0 1 1 1 1 1 0 1 1 1
0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 1 1 1 0 1 0 1 0 1 1 0 0 1 0 1
0 0 1 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0
0 1 0 1 0 0 1 1 0 0 0 1 0 1 0 0 0 0 1 1 1 0 0 1 1 0 1 0 0 1
0 0 0 1 1 0 0 0 0 1 1 1 0 0 1 1 1 1 1 0 1 1 0 1 0 1 1 1 1 0
0 1 1 0 1 1 1 0 1 1 0 1 0 0 1 0 0 1 0 1 0 0 0 0 1 1 0 1 0 1
0 1 1 0 1 1 0 1 0 1 0 0 0 1 0 1 0 0 0 0 1 0 1 0 1 0 0 1 0 0
5 5
50 50
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0
0 1 1 0 1 0 1 0 0 0 1 1 1 1 1 0 0 1 0 0 1 1 1 0 1 0 1 0 1 1 1 1 0 1 0 0 0 1 1 1 1 0 1 1 0 1 0 1 1 1
0 1 0 0 1 1 1 0 0 0 1 0 0 0 1 1 1 1 1 0 1 1 0 0 1 0 1 1 0 1 1 1 0 1 1 0 1 0 1 1 1 0 0 1 0 1 1 1 1 1
0 0 0 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 1 0 1 1 0 1 1 1 0 0 1 1 0 0 1 1 1 0 1 0 1 1 0 1 0 1 0 1 0 0 0 1
1 0 1 0 1 1 1 0 0 0 1 0 1 1 1 0 0 1 1 0 0 0 0 1 0 0 1 1 0 1 1 0 1 0 0 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0
1 0 1 1 1 0 1 0 0 1 1 0 1 0 1 1 0 0 0 0 1 1 1 0 1 0 0 0 0 1 1 1 1 1 0 1 1 1 0 0 1 1 0 1 1 1 0 1 1 0
0 1 1 0 1 1 1 0 1 1 1 1 1 0 0 0 1 1 1 1 1 0 0 0 1 0 1 0 1 1 1 0 1 0 0 1 0 1 0 0 1 0 1 0 1 1 0 1 0 0
0 1 1 0 1 1 0 1 0 0 1 0 1 1 0 0 0 0 0 0 1 1 0 1 1 0 0 0 1 1 0 0 0 0 1 0 1 1 0 0 0 0 1 1 0 0 1 1 0 1
0 0 1 1 1 0 0 1 1 1 1 0 0 0 1 1 1 0 0 1 1 1 1 1 1 1 0 0 1 1 0 1 0 1 0 0 0 1 1 0 0 0 1 1 1 0 0 1 0 0
1 0 1 0 1 0 1 0 1 0 1 1 0 0 1 0 0 0 1 0 0 0 0 0 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 0 1 1 1 1 0 0 1 1 0 1 0 1 0 0 0 0 1 0 1 1 0 1 1 1 0 1 0 1 1 1 0 1 0 0 1 0 1 0 1 1 1 1 1 1 0 0
0 1 0 1 1 0 1 0 0 0 1 1 0 0 0 0 0 0 0 1 1 0 1 0 1 1 1 0 0 1 0 1 0 1 0 0 1 0 0 1 1 1 1 1 1 0 1 0 0 0
1 1 0 1 1 0 1 0 1 0 1 0 1 1 0 1 0 1 1 0 1 0 0 1 0 1 1 1 0 1 0 0 0 0 1 0 0 0 1 1 0 1 0 1 1 0 0 0 0 0
1 1 0 0 1 0 0 1 0 1 1 1 0 1 0 1 1 0 0 1 0 1 0 1 0 1 1 0 0 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 0 1 1 0 0 1
1 1 0 1 1 0 1 1 0 1 0 1 0 1 1 1 1 0 1 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 1 1 1 0 0 1 1 1 1 1 1 1 1 0
1 1 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 1 1 0 1 0 0 1 1 0 1 1 1 1 0 0 1 1 1 0 1 1 1 1 0 0 0 1 1 0 0
1 0 0 0 1 1 1 0 1 0 0 1 0 1 1 1 0 0 1 1 0 1 0 1 0 1 0 0 0 1 1 1 1 0 1 0 1 1 0 0 1 0 1 0 0 1 0 1 1 1
1 1 1 1 1 1 1 0 1 1 0 0 1 0 0 0 1 0 0 1 1 1 1 1 0 0 1 0 0 1 1 1 1 1 1 1 0 0 1 1 1 0 1 1 0 0 1 0 1 1
1 1 1 0 1 1 0 0 0 0 1 1 1 1 0 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 0 0 1 1 1 0 1 0 1 0 1 0 0 1 0 1 0 0 1 1
0 0 1 0 1 1 1 1 0 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0 1 0 0 1 0 1 0 0 0 1 0 1 1 0 1 1 1 0 1 1 0 0 1 1 1
0 0 0 1 1 0 1 0 0 0 1 0 1 0 0 1 0 0 0 0 1 0 1 1 0 1 0 1 0 1 1 1 0 0 1 1 1 0 1 1 0 0 1 1 1 0 1 1 0 1
0 1 1 0 1 0 0 0 0 0 1 0 0 1 1 0 1 1 1 0 0 1 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 1 1 0 1 1 0 0 0 1 1 0 0 0
1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 1 0 1 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0
1 0 1 1 1 1 0 1 0 1 1 1 1 0 0 1 0 0 0 1 0 0 1 1 1 1 1 1 0 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 1 1 0 1 0 1
0 1 1 1 1 1 1 0 0 0 1 0 1 0 0 1 1 0 1 0 1 1 1 1 0 1 0 1 0 1 1 0 0 1 1 0 1 1 0 1 0 1 0 1 0 0 1 1 0 1
1 1 1 0 1 0 0 1 0 0 1 1 0 1 0 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 1 1 0 1 0 0 1 1 0 0 0 1 1 1 0 1 0 1 1
1 0 0 0 1 1 1 0 1 0 1 0 0 0 1 1 1 0 1 0 1 0 1 0 0 1 1 1 1 1 1 0 1 0 0 0 1 0 1 1 1 1 1 1 1 0 0 0 0 0
1 1 0 0 1 1 0 0 1 0 0 1 1 1 0 0 1 1 0 1 1 1 1 1 1 1 0 0 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 1 0 1 1 1
0 1 1 0 1 0 0 0 1 0 0 0 1 1 0 1 0 1 0 1 0 1 0 0 0 0 0 0 1 1 0 1 1 1 1 1 1 1 0 0 0 1 1 1 0 1 1 1 1 0
0 1 0 0 1 0 1 1 0 1 1 0 1 1 1 1 1 0 0 1 1 0 1 0 0 0 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0 0 1 0 0 1 0 0 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 0 0 1 0 1 0 0 1 0 0 1 1 0 0 1 1 0 0 1 0 1 1 0 1 1 0 0 0 0 1 0 1 1 1 0 1 1 1 0 1 1
1 0 1 0 1 0 0 0 0 1 0 0 1 1 0 1 1 1 1 0 1 0 1 0 1 0 0 0 1 1 1 0 0 0 0 1 0 1 1 0 0 1 0 0 0 1 1 1 1 1
0 0 1 0 1 1 1 1 0 1 0 0 0 0 0 1 0 1 1 0 1 1 1 1 0 1 0 1 0 1 0 1 1 1 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1
1 0 1 1 1 0 1 1 1 0 1 0 0 1 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1 1 0 1 0 1 0 0 1 1 1 1 0 0 1 0 0 0 1 1 1 1
1 1 0 1 1 0 0 1 1 1 1 0 1 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 1 0
1 0 0 1 1 1 1 1 0 0 0 0 1 1 1 0 0 1 0 1 1 0 0 0 1 0 1 0 1 1 1 1 0 1 0 1 1 0 0 0 1 0 0 0 1 1 0 1 0 1
1 1 1 1 1 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 1 1 0 1 1 0 0 0 1 1 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 1 0 1 0 1
0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 0 0 1 0 1 1 1 0 0 0 1 0 0 0 0 0 1 0 1 1 1 1 1 0 0 1 0
1 1 1 1 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1 0 1 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 0 0 0 1 1 0 0
0 0 1 1 1 1 1 0 1 0 1 0 0 0 1 0 1 0 0 1 1 1 1 0 1 1 0 1 0 1 0 1 1 1 0 1 1 1 1 0 1 0 0 0 1 0 0 1 1 1
0 1 0 1 1 0 1 1 1 0 1 1 1 1 0 1 1 0 0 0 0 0 0 1 1 1 1 1 1 0 1 0 1 0 1 0 0 1 1 1 1 1 0 0 0 0 0 1 1 0
1 1 1 0 0 0 1 1 0 0 0 1 0 0 0 0 0 1 1 1 1 1 1 0 1 1 0 0 0 1 0 1 0 1 0 0 1 0 1 1 0 1 0 0 1 1 0 1 1 1
1 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 0 0 0 1 1 1 1 0 1 0 0 1 0 0 0 0 0 0 1 0 1 0 1 0 0 1 1 1 0 1 0 0 1
1 0 1 0 1 0 0 1 1 1 0 0 0 1 1 0 1 1 0 1 0 1 0 1 1 0 0 1 0 1 0 0 0 1 1 0 0 1 1 0 1 1 0 1 1 1 0 0 0 1
1 0 0 0 1 1 1 0 1 0 0 1 1 1 0 1 1 1 1 1 0 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1 0 1 1 1 1 0 0 0 0 1 1 1 1 0
1 0 1 0 0 0 1 1 1 0 0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 1 1 0 0 1 1 0 0 1 0 0 0 1 1 0 0 1 0 1 0 0 0 1 0 1
1 1 0 1 0 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1 0 1 0 1 1 0 1 0 0 1 0 0 1 1 1 1 0 1 1 1 0 1 0 1 1 0 0 0 0 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
40 47
60 80
0 1 1 0 0 1 0 0 0 1 1 1 1 0 0 1 1 1 0 1 1 0 1 0 1 0 0 1 0 0 0 1 0 1 0 1 0 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 0 0 0 0 0 1 0 1
1 1 0 1 0 1 0 0 1 1 0 1 0 0 1 1 0 1 1 0 1 0 0 0 1 1 0 1 0 1 0 0 1 1 1 1 0 1 0 1 0 1 1 1 1 0 0 1 0 0 1 0 0 1 1 0 0 0 0 0
1 1 0 0 1 0 1 1 0 0 0 0 0 1 0 1 1 0 1 0 1 0 1 1 0 1 1 0 0 0 0 0 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 1 0 0 1 0
1 0 0 0 1 0 0 0 1 1 1 0 0 1 1 0 1 0 0 1 1 0 0 1 1 0 0 0 0 0 1 1 1 1 1 0 1 1 1 0 1 1 0 1 0 1 0 0 1 0 1 0 1 1 1 0 1 0 0 1
1 1 1 1 1 1 1 0 0 1 0 0 1 1 0 0 0 1 0 0 1 0 1 1 1 0 1 1 1 0 1 0 1 1 1 0 0 0 1 0 0 0 1 0 1 1 1 1 0 1 1 1 0 1 0 1 0 0 1 0
0 0 0 1 1 0 1 1 0 1 0 1 0 0 0 1 0 0 0 0 1 0 1 1 0 0 1 1 0 0 1 0 1 0 0 1 0 0 0 1 1 1 0 1 1 1 0 0 0 1 0 0 0 1 1 0 1 1 1 0
0 1 0 0 1 0 1 0 0 0 1 1 0 0 0 0 0 1 1 0 0 1 1 0 1 1 1 1 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 1 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0
0 1 0 1 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 1 0 1 1 1 0 1 1 0 0 0 1 1 1 0 1 1 1 0 0 1 0 1 1 0 1 1 1 1 1 0 0 0 1 1 1 1 0 1 0 0
0 1 0 1 1 1 1 0 0 1 0 1 0 0 0 1 1 1 1 1 0 1 1 0 1 0 0 0 1 0 1 0 0 1 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 0 0 1 1 1 0 0 1 1 1 1
1 0 0 1 0 0 1 1 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 0 0 0 1 1 0 0 1 0 0 1 0 1 1 1 0 1 1 0 0 0
1 0 0 1 0 1 0 1 1 1 1 1 1 0 1 0 0 1 0 1 1 1 1 0 1 0 0 1 1 0 1 1 1 1 1 0 0 0 1 0 1 1 0 1 0 0 1 1 1 0 1 1 1 0 0 0 0 1 1 0
0 1 0 1 1 0 0 1 1 1 1 0 0 1 0 0 1 0 1 1 1 0 1 0 1 0 1 1 1 0 0 1 1 0 1 0 0 0 1 0 0 0 0 1 1 0 1 0 1 0 1 1 1 0 0 0 1 0 1 1
0 0 1 1 1 1 0 1 0 0 1 1 0 1 1 1 1 1 1 0 0 0 1 1 0 0 0 0 0 1 0 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 1 1 0 0 0 1 0 1 1 1 1 0 1 1
1 1 0 1 1 0 1 0 0 1 0 0 0 1 0 1 1 1 0 1 1 1 0 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 0 0 1 1 0 1 1 0 1 1 1 0 0 1 0 1 1 0 0 0 0 1
0 0 1 0 1 0 1 1 1 0 0 1 0 0 1 1 1 1 0 1 1 1 0 0 0 1 1 0 0 1 0 1 1 0 1 0 0 0 1 0 1 1 1 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 1 1
0 1 1 0 0 1 0 0 1 0 1 1 0 0 0 0 1 0 0 1 0 1 1 0 1 0 1 0 0 0 1 0 1 0 1 0 1 1 1 0 0 1 0 0 1 0 1 0 0 1 0 1 0 1 1 1 1 0 1 1
0 1 0 0 1 1 0 1 1 0 0 0 0 1 0 1 0 0 1 1 1 1 1 0 0 1 0 0 1 1 1 0 1 1 1 1 0 1 1 1 1 0 1 1 0 0 0 1 0 1 0 0 1 1 1 1 0 0 0 1
0 1 1 0 0 0 0 1 1 0 0 0 0 1 0 1 1 1 0 0 1 0 0 0 1 1 1 1 1 1 1 0 1 0 1 1 1 0 1 0 0 0 0 0 1 1 1 1 0 1 0 0 1 1 0 1 1 0 1 0
1 1 1 0 0 1 1 1 1 0 1 1 0 0 1 1 0 0 0 1 0 1 1 0 0 0 0 1 0 1 1 0 1 0 0 1 0 1 1 1 0 1 0 1 0 1 0 1 1 0 1 1 0 0 1 0 1 0 1 0
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1 1 0 1 1 1 1 1 1 0 0 0 1 1 0 1 1 1 0 0 0 0 1 1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 0 0 1 0 1 1 0 0 1 1 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 0 0 1 1 1 1 0 0 1 1 1 1 0 1 0 1 0 1
0 1 0 0 1 0 1 1 1 0 1 1 1 0 0 1 1 1 1 0 1 1 0 1 0 1 0 0 1 1 0 0 0 0 0 1 0 1 1 1 0 1 1 0 1 1 1 0 0 1 0 0 1 1 1 0 1 1 1 0 0 1 0 0 0 1 1 0 1 0 1 0 1 0 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0 1 0 1 1 0 1 1
1 1 1 1 1 1 1 0 0 1 0 1 1 1 1 0 0 1 0 1 1 0 0 1 0 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 1 0 0 0 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 1 0 1 0 1 0 0 1 1 1 1 0 1 0 1 0 0 1 1
1 1 0 0 0 1 0 1 0 1 1 1 0 0 1 0 1 0 1 1 0 1 1 1 1 0 1 1 0 1 0 0 1 1 1 0 1 1 1 0 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 1 0 0 1 1 1 0 0 1 1 1 1 0 0 1 0 1 0 0 1 1 0 0 1 1 1 0 1 1 1 0 1 0 1 0 1 1 1 0 0 0 0 1 1
1 1 0 1 1 0 0 0 0 1 0 1 1 1 1 1 1 1 0 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1 1 1 0 0 0 1 1 0 1 1 1 0 1 1 0 1 1 0 0 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 0 1 0
0 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 0 0 0 0 1 0 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 0 0 1 1 1 1 1 0 0 1 1 0 1 1 1 0 1 0 0 1 0 0 1 1 0 1 1 1 1 0 0 1 1 1 1 1 0 1 1 1 0 0 1 1 1 1 1 0 1
1 1 1 1 1 1 0 1 1 0 1 0 0 0 0 1 1 1 0 0 0 0 1 1 1 0 1 1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 1 0 1 0 1 0 1 0 1 0 1 1 0 1 0 1 1 1 1 1 0 1 0 1 1 1 0 1 1 1 1 1 1 0 0 0 0 1 0 1 0 1 1 0 0 1 1 0 1 0
1 1 1 1 0 0 1 0 0 1 1 1 1 0 0 1 1 1 0 0 0 0 1 1 0 1 1 1 1 1 1 1 1 1 0 0 1 1 1 0 0 1 1 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 0 1 0 1 0 1 1 1 1 1 1 1 0 0 1 0 0 0 1 1 0 1 1 1 0 1 1 1 1 1 0 0 1 1 1 1 1 0 1 1 0 0
0 0 0 1 1 0 1 1 0 1 1 1 0 0 1 1 1 0 1 1 0 0 1 1 0 1 1 1 0 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 0 0 0 0 0 1
1 0 0 1 0 0 0 1 0 1 1 1 0 1 0 1 1 1 0 0 1 0 1 1 0 1 1 1 0 1 0 0 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 0 1 1 1 1 1 0 1 0 0 1 1 1 0 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1
1 0 1 1 1 1 0 0 1 1 0 1 1 1 0 1 1 1 1 1 0 0 1 1 0 0 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 0 0 1 0 1 1 0 1 1 1 1 1 0 0 0
1 0 1 1 1 0 0 1 1 1 1 0 0 1 1 1 0 0 0 1 1 0 0 1 1 1 1 0 1 1 1 1 0 0 1 1 1 1 1 1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 1 0 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 0 1 0 0 0
1 1 1 0 0 0 1 1 1 1 1 1 0 0 1 1 0 1 0 0 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 1 1 0 0 0 1 1 1 1 0 0 1 0 1 1 1 0 0 1 1 1 0 0 1 1 1 1 0 1 1 1 0 0 0 1 0 1 0 1 0 1 1 0 1 0 1 1 1 1 0 0 1 1 1 0
1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 0 0 1 0 0 1 1 0 0 1 0 1 1 1 1 1 0 1 1 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 0 0 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 0 1 0 1 1 0 1
0 1 1 0 1 0 1 0 1 0 1 1 1 0 0 1 1 1 1 1 1 0 1 1 1 1 0 1 0 0 1 0 1 1 1 1 1 1 0 1 1 0 1 1 0 1 0 1 0 0 1 1 1 0 0 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 0 1 0 0 0 1 0 1 0 1 1 1 1 1 0 1 1 1 1 1 0 0 0 1 1 0 0 1 1
1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 0 1 1 0 1 1 0 0 1 1 1 1 1 1 0 1 1 0 1 0 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 0 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 0 0 1 0 0 1 0 1 1 0 1 0 0 1 1 0 1 1 1 1 0 1 0 1 1 1
1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 0 0 1 1 1 0 1 0 1 1 1 1 1 0 1 1 0 1 0 0 1 0 1 0 0 0 1 1 1 0 1 1 1 1 0 1 1 0 1 0 1 1 1 1 0 1 1 1 0 1 1 0 1 0 1 0 0 1 0 0 0 0 0 1 1 0 1 0 1 1 0 0
0 1 1 0 1 1 1 1 1 0 1 0 1 0 1 1 1 0 1 1 0 0 1 0 1 0 1 1 0 1 1 1 1 0 1 1 0 1 1 1 1 1 1 0 1 1 1 0 0 0 0 1 0 1 1 1 1 0 1 0 0 1 1 1 0 0 0 0 1 1 1 1 0 1 1 1 1 0 0 0 1 1 1 1 1 0 1 1 1 0 1 0 1 1 1 1 1 1 1 1
0 1 1 0 1 1 1 1 0 0 1 1 1 1 0 1 1 0 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 0 1 0 1 0 0 1 1 1 0 1 0 0 1 0 1 0 1 0 0 1 0 1 1 0 1 1 1 1 1 0 1 1 0 0 1 1 1 0 0 1 1 1 1 1 1 1 0 0 0 0 1 0 1 1 1 0 1 1 0 1 1 1 1 0 1 0
1 1 1 1 1 0 0 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 1 1 1 0 1 0 1 1 0 1 0 1 0 1 1 1 0 1 1 0 0 1 1 1 1 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 1 1 1 0 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 0 0 1 1 1 1 1 0 0
1 1 1 0 1 1 1 1 1 1 0 1 1 0 0 0 1 0 1 0 0 0 1 1 0 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 0 1 1 1 0 0 1 1 0 1 1 1 1 1 0 1 0 1 1 0 0 0 1 1 1 1 0 1 1 1 1 0 1 1 0 1 0 1 1 0 1
0 1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 0 0 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 0 0 1 1 1 1 1 1 0 1 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 1 0 1
0 1 1 0 1 0 1 1 1 0 1 0 1 1 1 1 1 0 0 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1 1 1 1 1 1 0 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 0 1 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 0 1 1 1 1 0 1 1 0 0 0 1 1 0 1 1 1
1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 0 0 1 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 0 1 1 1 0 1 0 1 1 1 0 1 1 1 1 1 0 1 1 0 1 1 1 0 1 1
1 0 1 0 0 0 0 1 1 1 0 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 0 0 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 0 1 0 1 0 0 1 0 0 1 1 1 1 0 0 1 1 0 1 0 1 1 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 0 1 0
0 1 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 1 0 1 0 1 1 1 0 0 0 1 1 1 1 1 0 0 1 0 1 0 0 1 1 0 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 0 0 1 1 1 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1 0 0 1 1 0 1 0 1 1 1 1 1 1 1 1 0
1 0 1 0 0 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 1 0 1 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 1 0 0 1 0 0 0 0 1 0 0 1 0 1 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1 1 1
1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 0 1 1 1 0 1 0 1 0 1 1 0 1 0 1 1 1 1 0 1 0 0 1 0 0 0 1 0 0 1 1 1 1 1 0 0 0 1 1 1 1 1 1 0 1 1 1 1 1 0 1 0 0 1 0 0 1 0 1 1 0 1 1 1 1 1 1 0 1 1 0 0 1 0 1 1 1 1 1 0 0 0 1 1 0
1 0 0 1 0 1 1 0 0 0 1 1 1 0 1 1 1 0 1 0 1 1 0 1 0 0 0 1 1 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 0 1 0 1 0 0 1 0 1 1 0 0 1 0 0 1 1 1 1 1 0 0 0 1 0 1 1 0 1 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1 1
1 0 0 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1 0 1 0 1 1 1 1 1 0 0 1 0 0 1 1 1 1 1 1 0 1 0 1 0 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 0 1 0 1 0 1 0 0 1 0 1 1 1 1 1
1 0 0 1 1 1 0 0 0 1 0 1 0 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 0 1 0 1 0 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 0 1 1 1 0 1 0 1 1 0 0 1 0 1 1 0 0 1 1 1 1 1 0 0 1 0 1 1 1 1 1 0 0 1 0 1 0 0 0 1 0 0 1 0 0 1 1 1 1 0
0 1 0 1 1 1 0 0 1 0 0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 0 1 1 1 0 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1 0 0 1 1 0 1 1 0 1 0 1 0 1 1 1 1 0 1 1 0 1 1 1 1 1 1 0 1 0 0 1 1 1 1 1 1 0 1 0 0 1 0 1 1 1 0 1 0 1 0 1 1 1 1 1
0 1 0 1 1 0 1 1 1 0 1 1 0 0 1 1 0 0 0 1 1 1 0 1 1 0 1 0 0 0 1 1 1 1 0 1 0 1 1 1 1 1 1 0 1 1 0 1 0 0 1 1 0 1 1 1 0 1 1 1 1 0 0 0 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1 0 0 1 1 1 0 1 1 0 0 0 0 1 1 0 0 1 1 1 1 0
1 1 1 0 0 1 1 0 1 0 1 1 1 1 0 1 1 1 0 1 0 0 1 1 1 0 0 1 1 1 0 0 0 1 1 1 1 0 1 1 0 1 0 1 1 0 1 1 1 1 0 1 1 0 0 1 0 1 0 1 1 1 0 1 0 1 1 1 0 1 0 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 1 1 1
1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 0 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 0 0 1 1 1 0 1 1 0 1 0 1 0 1 1 0 0 1 0 0 1 1 0 0
1 1 1 1 0 0 0 1 0 1 0 1 1 0 1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 0 0 1 0 1 1 1 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0 1 1 0 0 0 1 0 1 0 0 1 1 0 0 1 1 1 1 0 1 1 1 1 1
1 1 0 0 1 1 1 1 0 1 1 0 1 0 1 1 1 1 0 0 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 0 0 1 1 1 0 1 1 1 0 1 0 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 0 1 1 1 0 0 1 1 1 0 1 1 1 1 1 0 1 0 1 1 1 1 0 1 1 1 1 0 1
1 1 0 0 0 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 1 1 1 1 0 1 0 1 1 1 1 1 0 1 0 1 0 1 0 1 1 0 1 0 1 1 1 1 1 0 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 1 1 1 1 1 0 1 0 0 1 1 1 1 1 1 1 0 1 0 1 0 1 1 1 0 1 0 1 0 1 1 1 0 1 1
0 1 1 1 0 1 1 1 0 1 0 0 1 0 1 0 1 0 1 1 1 1 0 1 0 0 0 0 1 1 0 0 0 1 0 1 1 1 1 0 1 0 1 1 0 0 1 1 1 1 1 1 0 1 0 1 1 0 0 0 1 0 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 0 1 1 0 1 1 0 0 1 0
1 0 1 1 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1 0 1 1 0 0 1 0 1 1 0 0 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 1 0 1 1 0 0 0 1 1 1 1 0 0 1 0 1 1 1 0 0 1 1 0 0 1 0 1 1 1 1 1 1
0 0 0 0 1 0 1 0 0 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 0 1 1 0 1 0 1 0 1 1 1 0 0 1 1 0 0 1 0 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 0 1 1 1 0 0 0 0 0 1 1 1 1 0 1 1 1 1 1 0 0 1 1
1 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 0 0 1 1 0 0 0 1 1 1 0 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 0 0 0 0 1 0 1 1 0 0 1 1 1 0 1 1 0
1 0 1 0 1 1 1 1 1 0 1 1 0 0 1 0 0 1 1 1 0 1 1 1 0 1 0 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 0 1 1 1 1 0 1 0 1 1 0 0 1 0 1 1 0 0 1 1
1 1 1 1 1 0 1 1 1 1 1 0 0 1 1 1 1 1 0 0 1 0 1 0 0 1 1 0 0 1 1 0 0 0 0 1 1 0 1 1 1 0 1 1 1 0 1 0 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 0 1 1 0 1 1 1 0 0 1 1 0 1 0 1 1 1 1 0 0 1 0 0 1 1 1 1
1 1 0 1 1 1 1 1 1 0 0 0 0 1 1 1 0 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 1 1 1 1 1 0 0 1 1 1 0 0 1 1 0 0 1 1 1 0 1 1 1 1 1 1 0 0 1 1 1 0 1 0 1 0 1 1 0 0 1 0 1
0 1 1 1 1 1 1 1 1 0 1 0 1 1 1 0 0 1 1 0 0 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 0 1 0 1 1 0 1 1 1 0 1 1 1 0 1 1 1 1 1 0 0 0 1 0 1 0 1 1 1 1 1 0 1 1 0 1 1 1 1 1 0 1 0 1 1 1 1 0 1 1 1 0 1 1 0 1 0 1 1
1 1 1 1 1 1 0 1 0 0 1 1 0 1 0 1 0 1 1 0 1 0 0 1 0 1 1 1 1 0 1 1 1 1 1 1 0 0 1 1 1 1 1 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 0 0 1 0 1 1 0 0 1 1 1 1 0 1 1 1 0 1 0 1 1 0 0 1 1 1 0 0 1 0 1 0 1 0 1 1 0 0 1 0 0 0
1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 0 1 1 0 1 1 1 0 0 1 0 1 1 0 1 0 0 1 1 1 0 1 0 0 1 1 0 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 0 1 1 1 0 1 0 1 0 1 0 0 1 0 0 1 1 1 0 1 1 0 1 0 0 1 0 0 1 1 1 1 0 1 0 1
0 0 0 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 0 0 1 1 0 1 0 1 1 1 1 1 0 0 1 1 0 0 1 1 1 1 1 1 0 0 1 0 1 1 0 1 0 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 0 0 1 0 0 0 1 0 1 0 1 1 1 1 0 1 1 0 0 1 1 1 1 1 0 1 1 1 0 1
1 0 1 1 1 0 0 1 1 0 1 1 1 1 0 0 1 1 1 0 0 0 0 1 1 1 1 0 1 0 1 1 1 0 0 0 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 1 0 1 0 1 0 1 1 1 1 1 0 0 1 0 1 0 1 0 1 1 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 1 0 0 0 1 1 1 1 0 0
0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 0 1 1 1 0 1 1 1 0 1 1 0 1 1 0 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 0 0 1 1 1 1 0 1 1 0 0 1 0 1 1 0 1 0 1 0 1 0 1 1
1 1 1 0 0 1 1 1 1 0 0 1 1 1 1 0 0 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 1 1 0 0 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1 0 1 1 1 1 1 0 0 1 0 0 0 0 1 0 1 0 0 1 0 1 1 0 1 1 0 0 0 1 1 0 1 0 0 0
0 0 0 0 1 1 0 0 1 1 1 0 1 1 1 0 1 0 1 1 1 1 0 1 0 0 1 1 1 0 1 1 1 0 0 1 1 1 0 0 1 1 1 0 1 0 1 1 1 1 0 1 0 0 0 1 1 1 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 0 0 1 1 1 1 1 1
1 1 1 1 1 0 1 1 0 1 1 0 1 0 1 1 0 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 0 1 1 0 1 1 0 1 1 1 0 1 1 0 0 1 1 1 0 0 1 1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 0 1 1 0 0 0
0 0 1 0 1 1 0 0 0 0 1 0 0 0 1 1 0 1 1 1 1 1 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 0 1 1 1 1 0 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 0 0 1 1 1 1 1 1 1 0 0 1
0 1 0 1 0 0 1 0 0 0 1 1 1 0 0 1 0 1 1 0 0 0 1 0 1 1 0 1 1 0 1 0 0 0 1 1 0 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0 1 0 1 0 0 0 1 1 0 1 1 0 0 0 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1
1 1 1 0 1 1 0 0 1 1 1 1 1 0 1 0 1 1 1 0 0 0 1 1 1 0 0 1 1 1 1 1 1 1 0 1 0 1 1 1 0 1 1 1 1 0 1 0 1 0 0 0 1 1 0 1 1 1 1 0 0 1 1 1 1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 0 0 1 0 1 1 0 0 1 0
0 1 1 1 1 0 1 1 1 1 0 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1 0 1 1 1 0 0 1 1 1 1 0 0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 0 1 1 1 1 0 0 1 1 1 1 1 1 1 0 1 1 1 1 0 0 0 1 1 1 0 1
1 0 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1 0 1 1 0 0 1 0 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 0 0 1 1 1 0 1 1 1 0 0 0 0 1 1 1 0 0 1 0 0 1 1 1 0 1 1 0 1 1 1 0 1 0 1 1 1 0 0 0 1 0 1 0 0 1 1 1 1 1 1 1 1 0 1 1
1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 1 1 1 0 1 1 0 1 0 1 0 1 0 1 1 1 0 0 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 0 1 0 0 0 1 1 1 0 1 0 0 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 1 0 1 1 1 1 1 1
50 50

Capture Knight
There is a mobile piece (a Knight) and a stationary piece on the N×M chessboard.
The available moves of the mobile piece are the same as set out in the image below.



You need to capture the stationary piece by moving the mobile piece with the minimum amount of moves.　　

Write a program to find out the minimum number moves to catch a piece.

[Input]

Several test cases can be included in the inputs. T, the number of cases is given in the first row of the inputs. After that, the test cases as many as T are given in a row.

N, the numbers of the rows and M, the number of columns of the chessboard are given in the first row of each test case.

R & C is the location information of the attacking piece and S & K is the location of the defending pieces and are given in the row at the second line. However, the location of the uppermost end of the left end is (1, 1)

Maximum value of N or M is 1000.

[Output]

Output the minimum number of movements to catch a defending piece at the first line of each test case.

Print "Case #tn" before each answer where "tn" is test case number.

[I/O Example]

Input

2

9 9

3 5 2 8

20 20

2 3 7 9

Output

Case #1

2

Case #2

5

50
9 9
2 2 4 4
20 20
2 3 7 9
5 5
1 1 2 2
522 55
292 23 84 6
176 361
110 244 118 191
870 435
352 166 93 238
67 192
23 108 16 179
63 521
7 397 45 182
136 738
100 613 46 351
599 504
401 52 561 216
620 639
412 330 185 323
767 206
659 191 710 26
745 467
681 447 392 382
601 607
332 467 53 249
593 604
271 182 35 231
787 404
193 168 121 121
537 793
487 328 354 665
42 685
7 281 6 15
37 105
28 23 35 21
506 367
316 319 340 350
67 606
37 226 23 44
718 586
255 252 517 359
824 283
735 262 734 236
304 452
62 99 228 16
431 259
236 256 262 252
83 550
4 439 8 134
423 358
331 78 222 232
89 663
84 518 35 489
158 309
25 182 66 99
331 732
147 83 228 603
637 772
83 616 263 671
98 384
1 86 52 146
500 549
104 124 383 504
245 800
51 545 224 82
530 310
55 260 499 122
796 736
784 715 422 49
830 141
304 126 540 115
188 216
167 200 77 95
877 833
103 417 586 434
78 814
31 476 45 547
718 205
183 49 264 72
1000 1000
792 263 984 381
1000 1000
916 535 918 910
1000 1000
471 862 103 836
1000 1000
305 86 952 411
1000 1000
687 39 56 237
1000 1000
238 685 477 979
1000 1000
50 647 35 902
1000 1000
375 265 305 481
1000 1000
178 33 150 91

#include <iostream>
using namespace std;

int queuex[1000];
int queuey[1000];
int fx, rx;
int fy, ry;
int n;
int arr[30][30];
int dd[30][30];
int dem;

void pushx(int m){
	rx++;
	queuex[rx] = m;
}

int frontx(){
	int temp;
	fx++;
	temp = queuex[fx];
	fx--;
	return temp;
}

void popx(){
	fx++;
}

bool emptyx(){
	if(fx==rx)
		return true;
	return false;
}



void pushy(int m){
	ry++;
	queuey[ry] = m;
}

int fronty(){
	int temp;
	fy++;
	temp = queuey[fy];
	fy--;
	return temp;
}

void popy(){
	fy++;
}

bool emptyy(){
	if(fy==ry)
		return true;
	return false;
}



void BFS(int i, int j){
	fx = -1;
	rx = -1;

	fy = -1;
	ry = -1;
	
	pushx(i);
	pushy(j);

	dd[i][j] = 1;

	dem = 1;

	while(!emptyx() && !emptyy()){
		int x = frontx();
		popx();
		int y = fronty();
		popy();

		if(x-1>=0 && arr[x-1][y] == 1 && dd[x-1][y] == 0){
			pushx(x-1);
			pushy(y);
			dem++;
			dd[x-1][y] = 1;
		}

		if(x+1<n && arr[x+1][y] == 1 && dd[x+1][y] == 0){
			pushx(x+1);
			pushy(y);
			dem++;
			dd[x+1][y] = 1;
		}

		if(y-1>=0 && arr[x][y-1] == 1 && dd[x][y-1] == 0){
			pushx(x);
			pushy(y-1);
			dem++;
			dd[x][y-1] = 1;
		}

		if(y+1<n && arr[x][y+1] == 1 && dd[x][y+1] == 0){
			pushx(x);
			pushy(y+1);
			dem++;
			dd[x][y+1] = 1;
		}
	}

}

int main(){
	int t;
	cin >> t;
	for(int tc=1; tc<=t; tc++){
		cin >> n;
		for(int i=0; i<n; i++){
			for(int j=0; j<n; j++){
				cin >> arr[i][j];
			}
		}

		int dem1 = 0;
		int max = -1;

		for(int i=0; i<n; i++){
			for(int j=0; j<n; j++){
				dd[i][j] = 0;
			}
		}

		for(int i=0; i<n; i++){
			for(int j=0; j<n; j++){
				if(arr[i][j] == 1 && dd[i][j] == 0){
					BFS(i, j);
					dem1++;
					if(dem>max){
						max = dem;
					}
				}
			}
		}

		cout << dem1 << " " << max << endl;
	}
	return 0;
}


#include <iostream>
using namespace std;

int n;
int arr[201][201];

int dR[4] = {0, -1, 0, 1};
int dC[4] = {-1, 0, 1, 0};

int dd[201][201];
int dem[201][201];
int queuex[40000], queuey[40000];
int fx, rx;
int fy, ry;


void pushx(int m){
	rx++;
	queuex[rx] = m;
}

int frontx(){
	int temp;
	fx++;
	temp = queuex[fx];
	fx--;
	return temp;
}

void popx(){
	fx++;
}

bool emptyx(){
	if(fx==rx)
		return true;
	return false;
}


void pushy(int m){
	ry++;
	queuey[ry] = m;
}

int fronty(){
	int temp;
	fy++;
	temp = queuey[fy];
	fy--;
	return temp;
}

void popy(){
	fy++;
}

bool emptyy(){
	if(fy==ry)
		return true;
	return false;
}


void BFS(int i, int j, int u, int v){
	fx = -1, rx = -1;
	fy = -1, ry = -1;
	dd[i][j] = 1;
	pushx(i);
	pushy(j);

	while(!emptyx() && !emptyy()){
		int x = frontx();
		popx();
		int y = fronty();
		popy();

		for(int k=0; k<4; k++){
			int Rx = x + dR[k];
			int Cy = y + dC[k];

			if(Rx>=0 &&  Rx<n && Cy>=0 && Cy<n && arr[Rx][Cy]!=0 && dd[Rx][Cy] == 0){
				pushx(Rx);
				pushy(Cy);
				dem[Rx][Cy] = dem[x][y] + 1;
				dd[Rx][Cy] = 1;
				if(Rx == u && Cy == v){
					return;
				}
			}
		}
	}
}

int main(){
	int t;
	//freopen("vao.txt", "r", stdin);
	cin >> t;
	for(int tc=1; tc<=t; tc++){
		cin >> n;
		int cx, cy;

		for(int i=0; i<n; i++){
			for(int j=0; j<n; j++){
				cin >> arr[i][j];
				if(arr[i][j] == 2){
					cx=i;
					cy=j;
				}
			}
		}

		for(int i=0; i<n; i++){
			for(int j=0; j<n; j++){
				dem[i][j] = 0;
				dd[i][j] = 0;
			}
		}

		BFS(0, 0, cx, cy);

		int sum1 = dem[cx][cy];
		for(int i=0; i<n; i++){
			for(int j=0; j<n; j++){
				dem[i][j] = 0;
				dd[i][j] = 0;
			}
		}

		BFS(cx, cy, n-1, n-1);

		int sum2 = dem[n-1][n-1];
		

		if(sum1 == 0 || sum2 == 0 || arr[0][0] == 0 || arr[n-1][n-1] == 0){
			cout << "-1" << endl;
		}
		else{
			cout << sum1 + sum2 << endl;
		}

	}
	return 0;
}

#include <iostream>
using namespace std;

int n, m;
int u, v;
int arr[101][101];

int dR[4] = {0, -1, 0, 1};
int dC[4] = {-1, 0, 1, 0};

int dd[1001][1001];
int dem[1001][1001];
int queuex[1000002], queuey[1000002];
int fx, rx;
int fy, ry;

void pushx(int m){
	rx++;
	queuex[rx] = m;
}

int frontx(){
	int temp;
	fx++;
	temp = queuex[fx];
	fx--;
	return temp;
}

void popx(){
	fx++;
}

bool emptyx(){
	if(fx==rx)
		return true;
	return false;
}


void pushy(int m){
	ry++;
	queuey[ry] = m;
}

int fronty(){
	int temp;
	fy++;
	temp = queuey[fy];
	fy--;
	return temp;
}

void popy(){
	fy++;
}

bool emptyy(){
	if(fy==ry)
		return true;
	return false;
}

void BFS(int i, int j){
	fx = -1, rx = -1;
	fy = -1, ry = -1;
	dd[i][j] = 1;
	pushx(i);
	pushy(j);

	while(!emptyx() && !emptyy()){
		int x = frontx();
		popx();
		int y = fronty();
		popy();

		for(int k=0; k<4; k++){
			int Rx = x + dR[k];
			int Cy = y + dC[k];

			if(Rx>=0 &&  Rx<n && Cy>=0 && Cy<m && dd[Rx][Cy] == 0 && arr[Rx][Cy] == 1){
				pushx(Rx);
				pushy(Cy);
				dem[Rx][Cy] = dem[x][y] + 1;
				dd[Rx][Cy] = 1;
			}
		}
	}
}

int main(){
	//freopen("vao.txt", "r", stdin);
	int t;
	cin >> t;
	for(int tc=1; tc<=t; tc++){
		cin >> m >> n;
		for(int i=0; i<n; i++){
			for(int j=0; j<m; j++){
				cin >> arr[i][j];
			}
		}

		cin >> v >> u;
		v--;
		u--;

		for(int i=0; i<n; i++){
			for(int j=0; j<m; j++){
				dd[i][j] = 0;
				dem[i][j] = 0;
			}
		}

		//cout << u << " " << v << endl;
		BFS(u, v);

		/*for(int i=0; i<n; i++){
			for(int j=0; j<m; j++){
				cout << dem[i][j] << " ";
			}
			cout << endl;
		}*/

		int max = -1;
		for(int i=0; i<n; i++){
			for(int j=0; j<m; j++){
				if(dem[i][j] > max){
					max = dem[i][j];
				}
			}
		}
		cout << max + 1 << endl;
	}
	return 0;
}


#include <iostream>
using namespace std;

int n, m;
int arr[1001][1001];

int dR[9] = {1, 1, 2, 2, -2, -2, -1, -1};
int dC[9] = {-2, 2, 1, -1, -1, 1, -2, 2};

int dd[1001][1001];
int dem[1001][1001];
int queuex[1000002], queuey[1000002];
int fx, rx;
int fy, ry;


void pushx(int m){
	rx++;
	queuex[rx] = m;
}

int frontx(){
	int temp;
	fx++;
	temp = queuex[fx];
	fx--;
	return temp;
}

void popx(){
	fx++;
}

bool emptyx(){
	if(fx==rx)
		return true;
	return false;
}


void pushy(int m){
	ry++;
	queuey[ry] = m;
}

int fronty(){
	int temp;
	fy++;
	temp = queuey[fy];
	fy--;
	return temp;
}

void popy(){
	fy++;
}

bool emptyy(){
	if(fy==ry)
		return true;
	return false;
}


void BFS(int i, int j, int u, int v){
	fx = -1, rx = -1;
	fy = -1, ry = -1;
	dd[i][j] = 1;
	pushx(i);
	pushy(j);

	while(!emptyx() && !emptyy()){
		int x = frontx();
		popx();
		int y = fronty();
		popy();

		for(int k=0; k<8; k++){
			int Rx = x + dR[k];
			int Cy = y + dC[k];

			if(Rx>=1 &&  Rx<=n && Cy>=1 && Cy<=m && dd[Rx][Cy] == 0){
				pushx(Rx);
				pushy(Cy);
				dem[Rx][Cy] = dem[x][y] + 1;
				dd[Rx][Cy] = 1;
				if(Rx == u && Cy == v){
					return;
				}
			}
		}
	}
}

int main(){
	int t;
	//freopen("vao.txt", "r", stdin);
	cin >> t;
	for(int tc=1; tc<=t; tc++){
		cin >> n >> m;
		int x, y;
		int z, t;
		cin >> x >> y >> z >> t;
		
		for(int i=1; i<=n; i++){
			for(int j=1; j<=m; j++){
				dd[i][j] = 0;
				dem[i][j] = 0;
			}
		}
		BFS(x, y, z, t);
		cout << "Case #" << tc << endl;
		cout << dem[z][t] << endl;

	}
	return 0;
}