Cody

# Problem 173. Minefield Sonar

Solution 1882001

Submitted on 23 Jul 2019 by Paul Smits
This solution is locked. To view this solution, you need to provide a solution of the same size or smaller.

### Test Suite

Test Status Code Input and Output
1   Pass
I = [ 2 3 3 5 1 4 9 2 3 9 ]; J = [ 1 1 4 4 5 5 6 8 8 9 ]; M = 9; N = 9; y_correct = [ 1 1 0 1 -1 1 1 1 1 -1 2 1 2 2 1 2 -1 2 -1 2 1 -1 2 1 2 -1 2 1 1 2 3 -1 1 1 1 1 0 0 1 -1 2 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 1 -1 1 1 -1 ]; assert(isequal(minehunting(I,J,M,N),y_correct))

y = 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 y = 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 0 1 0 0 0 1 0 0 0 1 0 0 1 0 0 0 1 0 0 2 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 y = 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 1 1 0 1 1 0 0 1 1 0 0 1 1 0 0 2 0 0 1 1 0 0 1 0 0 2 0 1 0 1 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 1 0 y = 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 0 1 1 1 0 1 1 0 1 1 1 0 1 1 1 1 0 2 0 1 1 1 0 0 1 0 0 3 0 1 0 1 0 0 0 0 0 1 0 2 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 0 1 0 y = 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 0 1 1 1 0 1 1 1 1 1 1 0 1 1 2 1 0 2 0 1 1 2 0 0 1 1 0 3 1 1 0 1 1 0 0 0 0 1 0 2 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 1 0 1 1 y = 0 0 0 0 1 1 0 0 0 0 0 1 1 0 0 1 0 1 1 1 0 0 2 1 1 1 1 1 1 2 1 1 0 1 1 2 1 1 2 0 1 1 2 0 0 1 1 1 3 1 1 0 1 1 0 0 0 0 1 0 2 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 1 0 1 1 y = 0 0 0 0 1 1 1 0 0 0 0 1 1 1 0 1 0 1 1 1 1 0 2 1 2 1 1 2 1 2 1 2 0 1 1 2 1 1 2 1 1 1 2 0 0 1 1 1 3 2 1 0 1 1 0 0 0 0 1 0 2 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 1 0 1 1 y = 0 0 0 0 1 1 1 0 0 0 0 1 1 1 0 1 0 1 1 1 1 0 2 1 2 1 2 2 1 2 1 2 0 2 1 2 1 1 2 1 2 1 2 0 1 1 1 2 3 2 1 1 1 1 0 0 0 0 1 1 2 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 1 1 1 1 1 1 y = 0 0 0 0 1 1 1 0 0 0 0 1 1 1 0 1 -1 1 1 1 1 0 2 -1 2 1 2 2 1 2 -1 2 0 2 -1 2 1 -1 2 1 2 -1 2 0 1 1 1 2 3 -1 1 1 1 1 0 0 0 0 1 -1 2 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 1 -1 1 1 -1 1 0 0 0 0 0 1 1 1 1 1 1 y = 1 1 0 1 -1 1 1 1 1 -1 2 1 2 2 1 2 -1 2 -1 2 1 -1 2 1 2 -1 2 1 1 2 3 -1 1 1 1 1 0 0 1 -1 2 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 1 -1 1 1 -1

2   Pass
I = 9; J = 9; M = 9; N = 9; y_correct = [ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 -1 ]; assert(isequal(minehunting(I,J,M,N),y_correct))

y = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 y = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 y = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 y = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 y = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 1 y = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 1 y = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 1 y = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 1 1 1 y = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 -1 1 0 0 0 0 0 0 0 0 1 1 1 y = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 -1

3   Pass
I = 5; J = 5; M = 9; N = 9; y_correct = [ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 -1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ]; assert(isequal(minehunting(I,J,M,N),y_correct))

y = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 y = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 y = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 y = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 y = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 y = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 y = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 y = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 y = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 -1 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 y = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 -1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

4   Pass
[I,J] = ndgrid(1:2:11,1:2:5); M = 11; N = 5; y_correct = [ -1 2 -1 2 -1 2 4 2 4 2 -1 2 -1 2 -1 2 4 2 4 2 -1 2 -1 2 -1 2 4 2 4 2 -1 2 -1 2 -1 2 4 2 4 2 -1 2 -1 2 -1 2 4 2 4 2 -1 2 -1 2 -1 ]; assert(isequal(minehunting(I,J,M,N),y_correct))

y = 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 y = 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 y = 0 1 0 1 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 2 0 0 0 1 0 1 0 1 0 2 0 2 0 2 0 0 0 1 0 1 0 1 0 2 0 2 0 2 0 0 0 1 0 1 0 1 0 2 0 2 0 2 0 0 0 1 0 1 0 1 0 2 0 2 0 2 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 y = 0 1 0 1 0 1 0 1 0 2 0 2 0 1 0 2 0 2 0 2 0 1 0 2 0 2 0 1 0 2 0 2 0 2 0 1 0 2 0 2 0 1 0 2 0 2 0 2 0 1 0 2 0 2 0 1 0 2 0 2 0 2 0 1 0 2 0 2 0 1 0 2 0 2 0 2 0 1 0 2 0 2 0 1 0 1 0 1 0 1 0 y = 0 1 0 1 0 1 0 1 0 2 0 2 0 1 0 2 1 2 1 2 1 1 0 2 0 2 0 1 0 2 1 2 1 2 1 1 0 2 0 2 0 1 0 2 1 2 1 2 1 1 0 2 0 2 0 1 0 2 1 2 1 2 1 1 0 2 0 2 0 1 0 2 1 2 1 2 1 1 0 2 0 2 0 1 0 1 1 1 1 1 1 y = 1 1 1 1 1 1 0 1 0 2 0 2 0 1 1 2 2 2 2 2 1 1 0 2 0 2 0 1 1 2 2 2 2 2 1 1 0 2 0 2 0 1 1 2 2 2 2 2 1 1 0 2 0 2 0 1 1 2 2 2 2 2 1 1 0 2 0 2 0 1 1 2 2 2 2 2 1 1 0 2 0 2 0 1 0 1 1 1 1 1 1 y = 1 1 2 1 2 1 1 1 0 2 0 2 0 1 1 2 3 2 3 2 2 1 0 2 0 2 0 1 1 2 3 2 3 2 2 1 0 2 0 2 0 1 1 2 3 2 3 2 2 1 0 2 0 2 0 1 1 2 3 2 3 2 2 1 0 2 0 2 0 1 1 2 3 2 3 2 2 1 0 2 0 2 0 1 0 1 1 1 1 1 1 y = 1 1 2 1 2 1 1 1 0 2 0 2 0 1 2 2 4 2 4 2 2 1 0 2 0 2 0 1 2 2 4 2 4 2 2 1 0 2 0 2 0 1 2 2 4 2 4 2 2 1 0 2 0 2 0 1 2 2 4 2 4 2 2 1 0 2 0 2 0 1 2 2 4 2 4 2 2 1 0 2 0 2 0 1 1 1 2 1 2 1 1 y = 1 1 2 1 2 1 1 1 -1 2 -1 2 -1 1 2 2 4 2 4 2 2 1 -1 2 -1 2 -1 1 2 2 4 2 4 2 2 1 -1 2 -1 2 -1 1 2 2 4 2 4 2 2 1 -1 2 -1 2 -1 1 2 2 4 2 4 2 2 1 -1 2 -1 2 -1 1 2 2 4 2 4 2 2 1 -1 2 -1 2 -1 1 1 1 2 1 2 1 1 y = -1 2 -1 2 -1 2 4 2 4 2 -1 2 -1 2 -1 2 4 2 4 2 -1 2 -1 2 -1 2 4 2 4 2 -1 2 -1 2 -1 2 4 2 4 2 -1 2 -1 2 -1 2 4 2 4 2 -1 2 -1 2 -1

5   Pass
[I,J] = ndgrid(2:3:11,2:3:5); M = 11; N = 5; y_correct = [ 1 1 1 1 1 1 -1 1 1 -1 1 1 1 1 1 1 1 1 1 1 1 -1 1 1 -1 1 1 1 1 1 1 1 1 1 1 1 -1 1 1 -1 1 1 1 1 1 1 1 1 1 1 1 -1 1 1 -1 ]; assert(isequal(minehunting(I,J,M,N),y_correct))

y = 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 y = 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 y = 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 y = 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 1 1 0 1 0 0 1 0 0 1 0 0 0 1 0 0 1 0 0 1 0 1 1 0 1 0 0 1 0 0 1 0 0 0 1 0 0 1 0 0 1 0 1 1 0 1 0 0 1 0 0 1 0 0 0 1 0 0 1 0 0 1 0 1 1 0 1 0 0 1 0 0 1 0 y = 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 1 1 0 1 0 0 1 1 0 1 1 0 0 1 0 0 1 0 0 1 0 1 1 0 1 0 0 1 1 0 1 1 0 0 1 0 0 1 0 0 1 0 1 1 0 1 0 0 1 1 0 1 1 0 0 1 0 0 1 0 0 1 0 1 1 0 1 0 0 1 1 0 1 1 y = 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 1 0 1 1 0 1 0 0 1 1 0 1 1 0 1 1 0 1 1 0 0 1 0 1 1 0 1 0 0 1 1 0 1 1 0 1 1 0 1 1 0 0 1 0 1 1 0 1 0 0 1 1 0 1 1 0 1 1 0 1 1 0 0 1 0 1 1 0 1 0 0 1 1 0 1 1 y = 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 0 1 1 0 1 0 0 1 1 0 1 1 0 1 1 1 1 1 1 0 1 0 1 1 0 1 0 0 1 1 0 1 1 0 1 1 1 1 1 1 0 1 0 1 1 0 1 0 0 1 1 0 1 1 0 1 1 1 1 1 1 0 1 0 1 1 0 1 0 0 1 1 0 1 1 y = 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 0 1 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 0 1 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 0 1 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 0 1 1 0 1 0 1 1 1 1 1 1 y = 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 -1 1 1 -1 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 -1 1 1 -1 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 -1 1 1 -1 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 -1 1 1 -1 1 0 1 1 1 1 1 1 y = 1 1 1 1 1 1 -1 1 1 -1 1 1 1 1 1 1 1 1 1 1 1 -1 1 1 -1 1 1 1 1 1 1 1 1 1 1 1 -1 1 1 -1 1 1 1 1 1 1 1 1 1 1 1 -1 1 1 -1