Untitled

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
0 0 1 1 0 0 1 0 0 1 0 1 1 0 1 0 1 0 1 1 1 0 1 0 1 0 1 0 0 0 1 1 0 0 1 1 0 1 0 1 1 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 1 1 1
0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 1 1 0 0 0 1 0 0 0 1 1 1 1 1 0 1 1 0 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 0
1 0 0 0 0 0 1 1 0 1 1 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 0 1 1 0 1 0 1 1 1 1 0 1 1 1 0 0 0 1 1 1 0 0 0 0 0 1 1 1 0 0 1 0 1 1
0 0 0 1 0 0 1 1 0 1 1 1 0 1 0 0 1 1 1 1 1 1 0 1 0 0 1 0 0 0 1 1 0 0 0 1 1 0 0 0 1 1 0 1 0 1 0 0 0 0 0 0 1 1 1 0 1 1 0 0
0 0 0 0 0 1 0 0 1 1 1 0 0 1 0 0 1 0 1 1 1 0 1 0 0 1 0 0 1 0 0 0 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0
1 0 1 0 0 1 1 1 1 0 1 1 1 1 0 0 1 0 0 1 0 1 0 0 1 0 0 1 1 1 0 0 0 0 0 0 1 1 1 1 1 0 0 1 0 1 1 0 0 0 1 1 1 0 1 1 0 0 0 1
0 1 0 0 1 0 1 0 1 0 0 0 1 1 1 0 1 1 0 0 1 1 1 1 1 1 1 1 0 0 1 1 0 0 1 1 1 1 0 0 1 0 0 0 0 1 0 1 1 1 1 1 0 1 0 0 0 0 0 1
0 0 1 1 0 1 0 1 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 0 0 1 1 0 0 0 1 1 1 0 0 0 0 0 0 0 1 1 0 0 0 1 0 1 0 0 0 1 0 1 1 1 0 1 0 1
0 0 0 1 0 1 1 0 1 0 1 1 0 1 0 0 1 1 0 0 0 1 0 0 1 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 1 1 1 1 0 1 0 0 1 1 0 1 0 1 1 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 1
1 0 1 0 1 0 1 1 0 1 0 0 1 1 0 1 1 1 0 1 1 0 0 1 0 1 0 1 0 0 0 1 0 1 0 0 1 0 0 0 1 0 1 1 1 1 0 1 0 1 0 1 1 1 1 0 0 0 1 1
1 0 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 0 0 1 0 0 1 0 0 1 1 0 0 0 1 0 1 1 1 1 1 0 1 1 1 1 0 0 0 1 0 0 0 1 0 1 0 0 1 0 0 1 0 1
0 1 1 1 0 0 0 1 1 1 1 1 1 0 0 1 0 0 1 0 0 0 1 1 0 0 0 1 0 1 0 1 1 1 0 1 1 0 0 1 1 0 1 0 1 1 1 1 0 0 1 0 0 0 0 0 1 1 0 1
1 1 0 1 0 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 1 0 1 1 1 1 0 0 1 0 1 0 0 0 1 0 1 1 0 1 1 0 0 1 0 1 1
0 0 0 1 0 1 1 1 1 0 1 1 1 0 0 1 0 0 0 1 0 1 1 1 0 1 0 1 1 0 0 1 0 1 0 1 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 1 1 0 0 0 0 1 0
1 1 0 1 0 1 0 0 1 0 0 0 1 1 1 0 0 1 0 0 1 1 0 0 0 0 0 0 0 1 1 0 0 1 1 0 1 1 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 1 0 1 0 1 0 1
1 0 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 1 0 0 0 1 1 1 0 0 0 0 1 1 0 1 0 0 1 1 1
1 1 1 0 1 0 1 0 1 0 1 0 1 1 0 0 0 0 0 1 1 1 1 1 1 0 1 1 0 1 1 0 0 1 1 1 1 0 1 0 1 0 0 1 0 0 1 0 0 1 1 1 0 1 0 0 0 1 0 1
1 1 1 0 1 1 1 1 1 0 1 0 0 1 1 0 1 0 1 1 0 0 1 0 0 0 1 1 1 0 1 1 1 1 0 1 1 0 1 1 0 0 1 0 1 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0
1 1 1 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 1 0 0 1 1 0 0 1 0 0 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 0 0 0 0 1 1 1 1 0 1 0 1 1 1 1
1 1 1 1 0 0 0 0 0 1 1 0 0 0 1 1 1 1 0 1 0 1 1 1 0 1 1 1 1 1 0 1 0 1 0 1 0 0 0 0 1 1 0 0 1 1 0 1 1 1 1 1 1 1 1 0 1 0 0 1
1 1 1 1 0 1 1 0 0 1 1 1 0 0 1 1 1 0 0 0 0 0 1 0 0 1 0 0 1 0 1 0 0 1 1 1 0 0 1 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 0 0 0 0 0 1
1 1 1 0 1 0 1 1 1 0 0 1 1 1 1 1 1 1 0 1 1 1 0 1 0 1 0 1 0 1 1 1 0 1 0 1 1 0 1 0 0 0 0 1 1 0 1 0 0 0 1 1 0 0 1 0 0 0 1 0
1 1 1 0 1 1 1 1 1 0 0 0 1 1 0 0 1 0 1 0 1 1 0 0 0 0 1 1 1 0 0 0 1 1 0 1 1 1 0 1 1 1 1 1 1 1 0 0 0 0 1 0 1 0 1 0 0 0 0 0
0 0 0 0 1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 1 0 0 1 0 1 0 0 1 1 0 1 0 1 1 1 0 0 1 1 0 1 1 0 1 0 1 1 1 0 0 1 1 0 0 0 0 0 0 1 0
0 0 0 1 1 0 0 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 0 1 0 0 1 0 1 0 1 0 0 1 1 1 1 0 1 1 0 1 1 0 0 0 0 1 1 1 1 1 1 0 0
0 1 0 1 1 0 1 1 1 1 0 1 1 1 1 0 1 0 0 1 1 1 0 1 1 0 1 1 1 0 0 0 0 1 1 0 0 1 0 0 0 1 1 0 0 0 0 0 1 1 0 0 0 1 1 1 0 0 1 1
1 0 1 0 1 1 0 0 1 1 1 0 0 1 0 1 1 0 1 1 0 1 1 0 0 0 1 0 1 0 0 1 0 1 1 1 0 0 0 0 0 1 0 1 0 0 0 0 0 1 0 1 1 1 0 0 1 1 0 1
0 0 0 1 1 1 0 0 1 0 1 0 0 1 1 1 0 1 1 0 0 1 1 0 0 0 0 0 0 1 0 1 0 1 0 0 1 1 1 0 1 0 1 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0
1 0 1 0 0 0 1 1 0 0 0 1 1 1 1 0 1 1 0 1 1 0 0 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 1 1 1 1 1
0 1 1 0 0 1 1 0 0 1 0 0 0 0 1 1 0 1 0 0 1 0 1 0 1 0 1 1 0 1 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 1
0 1 0 1 0 1 1 0 1 0 1 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 1 1 1 0 1 1 1 0 1 1 0 0 1 1 0 1 0 1 0 1 0 0 1 0 0 0
1 0 0 1 0 0 1 1 1 0 1 1 0 1 1 1 1 0 0 0 0 0 1 1 1 0 0 1 0 1 1 0 1 1 0 1 1 1 0 0 0 1 1 0 0 1 1 1 1 0 1 0 1 1 0 0 0 0 0 1
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output
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