Cody

# Problem 658. Find the biggest empty box

Solution 470821

Submitted on 12 Jul 2014 by Abdullah Caliskan
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
%% a = [1 0; 0 0]; [r1,r2,c1,c2] = biggest_box(a); sub = a(r1:r2,c1:c2); [m,n] = size(sub); len = 1; assert(isequal(sum(sub(:)),0)) assert(isequal(m,len)); assert(isequal(n,len));

2   Pass
%% a = [1 0 0; 0 0 0; 0 0 0]; [r1,r2,c1,c2] = biggest_box(a); sub = a(r1:r2,c1:c2); [m,n] = size(sub); len = 2; assert(isequal(sum(sub(:)),0)) assert(isequal(m,len)); assert(isequal(n,len));

f = 2 3 1 2 3 1 2 3 k = 1 1 2 2 2 3 3 3 GG = 1 2 1 3 GG = 1 2 2 1 GG = 1 2 2 2 GG = 1 2 2 3 GG = 1 2 3 1 GG = 1 2 3 2 GG = 1 2 3 3 GG = 1 3 2 1 GG = 1 3 2 2 GG = 1 3 2 3 GG = 1 3 3 1 GG = 1 3 3 2 GG = 1 3 3 3 GG = 2 1 2 2 GG = 2 1 2 3 GG = 2 1 3 1 GG = 2 1 3 2 GG = 2 1 3 3 GG = 2 2 2 3 GG = 2 2 3 1 GG = 2 2 3 2 GG = 2 2 3 3 GG = 2 3 3 1 GG = 2 3 3 2 GG = 2 3 3 3 GG = 3 1 3 2 GG = 3 1 3 3 GG = 3 2 3 3 GG = 1 3 1 2 GG = 2 1 1 2 GG = 2 2 1 2 GG = 2 3 1 2 GG = 3 1 1 2 GG = 3 2 1 2 GG = 3 3 1 2 GG = 2 1 1 3 GG = 2 2 1 3 GG = 2 3 1 3 GG = 3 1 1 3 GG = 3 2 1 3 GG = 3 3 1 3 GG = 2 2 2 1 GG = 2 3 2 1 GG = 3 1 2 1 GG = 3 2 2 1 GG = 3 3 2 1 GG = 2 3 2 2 GG = 3 1 2 2 GG = 3 2 2 2 GG = 3 3 2 2 GG = 3 1 2 3 GG = 3 2 2 3 GG = 3 3 2 3 GG = 3 2 3 1 GG = 3 3 3 1 GG = 3 3 3 2

3   Pass
%% a = eye(9); [r1,r2,c1,c2] = biggest_box(a); sub = a(r1:r2,c1:c2); [m,n] = size(sub); len = 4; assert(isequal(sum(sub(:)),0)) assert(isequal(m,len)); assert(isequal(n,len));

f = 2 3 4 5 6 7 8 9 1 3 4 5 6 7 8 9 1 2 4 5 6 7 8 9 1 2 3 5 6 7 8 9 1 2 3 4 6 7 8 9 1 2 3 4 5 7 8 9 1 2 3 4 5 6 8 9 1 2 3 4 5 6 7 9 1 2 3 4 5 6 7 8 k = 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 GG = 1 2 1 3 GG = 1 2 1 4 GG = 1 2 1 5 GG = 1 2 1 6 GG = 1 2 1 7 GG = 1 2 1 8 GG = 1 2 1 9 GG = 1 2 2 1 GG = 1 2 2 3 GG = 1 2 2 4 GG = 1 2 2 5 GG = 1 2 2 6 GG = 1 2 2 7 GG = 1 2 2 8 GG = 1 2 2 9 GG = 1 2 3 1 GG = 1 2 3 2 GG = 1 2 3 4 GG = 1 2 3 5 GG = 1 2 3 6 GG = 1 2 3 7 GG = 1 2 3 8 GG = 1 2 3 9 GG = 1 2 4 1 GG = 1 2 4 2 GG = 1 2 4 3 GG = 1 2 4 5 GG = 1 2 4 6 GG = 1 2 4 7 GG = 1 2 4 8 GG = 1 2 4 9 GG = 1 2 5 1 GG = 1 2 5 2 GG = 1 2 5 3 GG = 1 2 5 4 GG = 1 2 5 6 GG = 1 2 5 7 GG = 1 2 5 8 GG = 1 2 5 9 GG = 1 2 6 1 GG = 1 2 6 2 GG = 1 2 6 3 GG = 1 2 6 4 GG = 1 2 6 5 GG = 1 2 6 7 GG = 1 2 6 8 GG = 1 2 6 9 GG = 1 2 7 1 GG = 1 2 7 2 GG = 1 2 7 3 GG = 1 2 7 4 GG = 1 2 7 5 GG = 1 2 7 6 GG = 1 2 7 8 GG = 1 2 7 9 GG = 1 2 8 1 GG = 1 2 8 2 GG = 1 2 8 3 GG = 1 2 8 4 GG = 1 2 8 5 GG = 1 2 8 6 GG = 1 2 8 7 GG = 1 2 8 9 GG = 1 2 9 1 GG = 1 2 9 2 GG = 1 2 9 3 GG = 1 2 9 4 GG = 1 2 9 5 GG = 1 2 9 6 GG = 1 2 9 7 GG = 1 2 9 8 GG = 1 3 1 4 GG = 1 3 1 5 GG = 1 3 1 6 GG = 1 3 1 7 GG = 1 3 1 8 GG = 1 3 1 9 GG = 1 3 2 1 GG = 1 3 2 3 GG = 1 3 2 4 GG = 1 3 2 5 GG = 1 3 2 6 GG = 1 3 2 7 GG = 1 3 2 8 GG = 1 3 2 9 GG = 1 3 3 1 GG = 1 3 3 2 GG = 1 3 3 4 GG = 1 3 3 5 GG = 1 3 3 6 GG = 1 3 3 7 GG = 1 3 3 8 GG = 1 3 3 9 GG = 1 3 4 1 GG = 1 3 4 2 GG = 1 3 4 3 GG = 1 3 4 5 GG = 1 3 4 6 GG = 1 3 4 7 GG = 1 3 4 8 GG = 1 3 4 9 GG = 1 3 5 1 GG = 1 3 5 2 GG = 1 3 5 3 GG = 1 3 5 4 GG = 1 3 5 6 GG = 1 3 5 7 GG = 1 3 5 8 GG = 1 3 5 9 GG = 1 3 6 1 GG = 1 3 6 2 GG = 1 3 6 3 GG = 1 3 6 4 GG = 1 3 6 5 GG = 1 3 6 7 GG = 1 3 6 8 GG = 1 3 6 9 GG = 1 3 7 1 GG = 1 3 7 2 GG = 1 3 7 3 GG = 1 3 7 4 GG = 1 3 7 5 GG = 1 3 7 6 GG = 1 3 7 8 GG = 1 3 7 9 GG = 1 3 8 1 GG = 1 3 8 2 GG = 1 3 8 3 GG = 1 3 8 4 GG = 1 3 8 5 GG = 1 3 8 6 GG = 1 3 8 7 GG = 1 3 8 9 GG = 1 3 9 1 GG = 1 3 9 2 GG = 1 3 9 3 GG = 1 3 9 4 GG = 1 3 9 5 GG = 1 3 9 6 GG = 1 3 9 7 GG = 1 3 9 8 GG = 1 4 1 5 GG = 1 4 1 6 GG = 1 4 1 7 GG = 1 4 1 8 GG = 1 4 1 9 GG = 1 4 2 1 GG = 1 4 2 3 GG = 1 4 2 4 GG = 1 4 2 5 GG = 1 4 2 6 GG = 1 4 2 7 GG = 1 4 2 8 GG = 1 4 2 9 GG = 1 4 3 1 GG = 1 4 3 2 GG = 1 4 3 4 GG = 1 4 3 5 GG = 1 4 3 6 GG = 1 4 3 7 GG = 1 4 3 8 GG = 1 4 3 9 GG = 1 4 4 1 GG = 1 4 4 2 GG = 1 4 4 3 GG = 1 4 4 5 GG = 1 4 4 6 GG = 1 4 4 7 GG = 1 4 4 8 GG = 1 4 4 9 GG = 1 4 5 1 GG = 1 4 5 2 GG = 1 4 5 3 GG = 1 4 5 4 GG = 1 4 5 6 GG = 1 4 5 7 GG = 1 4 5 8 GG = 1 4 5 9 GG = 1 4 6 1 GG = 1 4 6 2 GG = 1 4 6 3 GG = 1 4 6 4 GG = 1 4 6 5 GG = 1 4 6 7 GG = 1 4 6 8 GG = 1 4 6 9 GG = 1 4 7 1 GG = 1 4 7 2 GG = 1 4 7 3 GG = 1 4 7 4 GG = 1 4 7 5 GG = 1 4 7 6 GG = 1 4 7 8 GG = 1 4 7 9 GG = 1 4 8 1 GG = 1 4 8 2 GG = 1 4 8 3 GG = 1 4 8 4 GG = 1 4 8 5 GG = 1 4 8 6 GG = 1 4 8 7 GG = 1 4 8 9 GG = 1 4 9 1 GG = 1 4 9 2 GG = 1 4 9 3 GG = 1 4 9 4 GG = 1 4 9 5 GG = 1 4 9 6 GG = 1 4 9 7 GG = 1 4 9 8 GG = 1 5 1 6 GG = 1 5 1 7 GG = 1 5 1 8 GG = 1 5 1 9 GG = 1 5 2 1 GG = 1 5 2 3 GG = 1 5 2 4 GG = 1 5 2 5 GG = 1 5 2 6 GG = 1 5 2 7 GG = 1 5 2 8 GG = 1 5 2 9 GG = 1 5 3 1 GG = 1 5 3 2 GG = 1 5 3 4 GG = 1 5 3 5 GG = 1 5 3 6 GG = 1 5 3 7 GG = 1 5 3 8 GG = 1 5 3 9 GG = 1 5 4 1 GG = 1 5 4 2 GG = 1 5 4 3 GG = 1 5 4 5 GG = 1 5 4 6 GG = 1 5 4 7 GG = 1 5 4 8 GG = 1 5 4 9 GG = 1 5 5 1 GG = 1 5 5 2 GG = 1 5 5 3 GG = 1 5 5 4 GG = 1 5 5 6 GG = 1 5 5 7 GG = 1 5 5 8 GG = 1 5 5 9 GG = 1 5 6 1 GG = 1 5 6 2 GG = 1 5 6 3 GG = 1 5 6 4 GG = 1 5 6 5 GG = 1 5 6 7 GG = 1 5 6 8 GG = 1 5 6 9 GG = 1 5 7 1 GG = 1 5 7 2 GG = 1 5 7 3 GG = 1 5 7 4 GG = 1 5 7 5 GG = 1 5 7 6 GG = 1 5 7 8 GG = 1 5 7 9 GG = 1 5 8 1 GG = 1 5 8 2 GG = 1 5 8 3 GG = 1 5 8 4 GG = 1 5 8 5 GG = 1 5 8 6 GG = 1 5 8 7 GG = 1 5 8 9 GG = 1 5 9 1 GG = 1 5 9 2 GG = 1 5 9 3 GG = 1 5 9 4 GG = 1 5 9 5 GG = 1 5 9 6 GG = 1 5 9 7 GG = 1 5 9 8 GG = 1 6 1 7 GG = 1 6 1 8 GG = 1 6 1 9 GG = 1 6 2 1 GG = 1 6 2 3 GG = 1 6 2 4 GG = 1 6 2 5 GG = 1 6 2 6 GG = 1 6 2 7 GG = 1 6 2 8 GG = 1 6 2 9 GG = 1 6 3 1 GG = 1 6 3 2 GG = 1 6 3 4 GG = 1 6 3 5 GG = 1 6 3 6 GG = 1 6 3 7 GG = 1 6 3 8 GG = 1 6 3 9 GG = 1 6 4 1 GG = 1 6 4 2 GG = 1 ...

4   Pass
%% a = double(magic(7)<6); [r1,r2,c1,c2] = biggest_box(a); sub = a(r1:r2,c1:c2); [m,n] = size(sub); len = 4; assert(isequal(sum(sub(:)),0)) assert(isequal(m,len)); assert(isequal(n,len));

f = 1 2 3 5 6 7 1 2 3 4 5 6 7 1 2 3 4 5 6 7 2 3 4 5 6 7 1 2 3 4 5 6 1 2 3 4 5 7 1 2 3 4 6 7 k = 1 1 1 1 1 1 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 GG = 1 1 1 2 GG = 1 1 1 3 GG = 1 1 1 5 GG = 1 1 1 6 GG = 1 1 1 7 GG = 1 1 2 1 GG = 1 1 2 2 GG = 1 1 2 3 GG = 1 1 2 4 GG = 1 1 2 5 GG = 1 1 2 6 GG = 1 1 2 7 GG = 1 1 3 1 GG = 1 1 3 2 GG = 1 1 3 3 GG = 1 1 3 4 GG = 1 1 3 5 GG = 1 1 3 6 GG = 1 1 3 7 GG = 1 1 4 2 GG = 1 1 4 3 GG = 1 1 4 4 GG = 1 1 4 5 GG = 1 1 4 6 GG = 1 1 4 7 GG = 1 1 5 1 GG = 1 1 5 2 GG = 1 1 5 3 GG = 1 1 5 4 GG = 1 1 5 5 GG = 1 1 5 6 GG = 1 1 6 1 GG = 1 1 6 2 GG = 1 1 6 3 GG = 1 1 6 4 GG = 1 1 6 5 GG = 1 1 6 7 GG = 1 1 7 1 GG = 1 1 7 2 GG = 1 1 7 3 GG = 1 1 7 4 GG = 1 1 7 6 GG = 1 1 7 7 GG = 1 2 1 3 GG = 1 2 1 5 GG = 1 2 1 6 GG = 1 2 1 7 GG = 1 2 2 1 GG = 1 2 2 2 GG = 1 2 2 3 GG = 1 2 2 4 GG = 1 2 2 5 GG = 1 2 2 6 GG = 1 2 2 7 GG = 1 2 3 1 GG = 1 2 3 2 GG = 1 2 3 3 GG = 1 2 3 4 GG = 1 2 3 5 GG = 1 2 3 6 GG = 1 2 3 7 GG = 1 2 4 2 GG = 1 2 4 3 GG = 1 2 4 4 GG = 1 2 4 5 GG = 1 2 4 6 GG = 1 2 4 7 GG = 1 2 5 1 GG = 1 2 5 2 GG = 1 2 5 3 GG = 1 2 5 4 GG = 1 2 5 5 GG = 1 2 5 6 GG = 1 2 6 1 GG = 1 2 6 2 GG = 1 2 6 3 GG = 1 2 6 4 GG = 1 2 6 5 GG = 1 2 6 7 GG = 1 2 7 1 GG = 1 2 7 2 GG = 1 2 7 3 GG = 1 2 7 4 GG = 1 2 7 6 GG = 1 2 7 7 GG = 1 3 1 5 GG = 1 3 1 6 GG = 1 3 1 7 GG = 1 3 2 1 GG = 1 3 2 2 GG = 1 3 2 3 GG = 1 3 2 4 GG = 1 3 2 5 GG = 1 3 2 6 GG = 1 3 2 7 GG = 1 3 3 1 GG = 1 3 3 2 GG = 1 3 3 3 GG = 1 3 3 4 GG = 1 3 3 5 GG = 1 3 3 6 GG = 1 3 3 7 GG = 1 3 4 2 GG = 1 3 4 3 GG = 1 3 4 4 GG = 1 3 4 5 GG = 1 3 4 6 GG = 1 3 4 7 GG = 1 3 5 1 GG = 1 3 5 2 GG = 1 3 5 3 GG = 1 3 5 4 GG = 1 3 5 5 GG = 1 3 5 6 GG = 1 3 6 1 GG = 1 3 6 2 GG = 1 3 6 3 GG = 1 3 6 4 GG = 1 3 6 5 GG = 1 3 6 7 GG = 1 3 7 1 GG = 1 3 7 2 GG = 1 3 7 3 GG = 1 3 7 4 GG = 1 3 7 6 GG = 1 3 7 7 GG = 1 5 1 6 GG = 1 5 1 7 GG = 1 5 2 1 GG = 1 5 2 2 GG = 1 5 2 3 GG = 1 5 2 4 GG = 1 5 2 5 GG = 1 5 2 6 GG = 1 5 2 7 GG = 1 5 3 1 GG = 1 5 3 2 GG = 1 5 3 3 GG = 1 5 3 4 GG = 1 5 3 5 GG = 1 5 3 6 GG = 1 5 3 7 GG = 1 5 4 2 GG = 1 5 4 3 GG = 1 5 4 4 GG = 1 5 4 5 GG = 1 5 4 6 GG = 1 5 4 7 GG = 1 5 5 1 GG = 1 5 5 2 GG = 1 5 5 3 GG = 1 5 5 4 GG = 1 5 5 5 GG = 1 5 5 6 GG = 1 5 6 1 GG = 1 5 6 2 GG = 1 5 6 3 GG = 1 5 6 4 GG = 1 5 6 5 GG = 1 5 6 7 GG = 1 5 7 1 GG = 1 5 7 2 GG = 1 5 7 3 GG = 1 5 7 4 GG = 1 5 7 6 GG = 1 5 7 7 GG = 1 6 1 7 GG = 1 6 2 1 GG = 1 6 2 2 GG = 1 6 2 3 GG = 1 6 2 4 GG = 1 6 2 5 GG = 1 6 2 6 GG = 1 6 2 7 GG = 1 6 3 1 GG = 1 6 3 2 GG = 1 6 3 3 GG = 1 6 3 4 GG = 1 6 3 5 GG = 1 6 3 6 GG = 1 6 3 7 GG = 1 6 4 2 GG = 1 6 4 3 GG = 1 6 4 4 GG = 1 6 4 5 GG = 1 6 4 6 GG = 1 6 4 7 GG = 1 6 5 1 GG = 1 6 5 2 GG = 1 6 5 3 GG = 1 6 5 4 GG = 1 6 5 5 GG = 1 6 5 6 GG = 1 6 6 1 GG = 1 6 6 2 GG = 1 6 6 3 GG = 1 6 6 4 GG = 1 6 6 5 GG = 1 6 6 7 GG = 1 6 7 1 GG = 1 6 7 2 GG = 1 6 7 3 GG = 1 6 7 4 GG = 1 6 7 6 GG = 1 6 7 7 GG = 1 7 2 1 GG = 1 7 2 2 GG = 1 7 2 3 GG = 1 7 2 4 GG = 1 7 2 5 GG = 1 7 2 6 GG = 1 7 2 7 GG = 1 7 3 1 GG = 1 7 3 2 GG = 1 7 3 3 GG = 1 7 3 4 GG = 1 7 3 5 GG = 1 7 3 6 GG = 1 7 3 7 GG = 1 7 4 2 GG = 1 7 4 3 GG = 1 7 4 4 GG = 1 7 4 5 GG = 1 7 4 6 GG = 1 7 4 7 GG = 1 7 5 1 GG = 1 7 5 2 GG = 1 7 5 3 GG = 1 7 5 4 GG = 1 7 5 5 GG = 1 7 5 6 GG = 1 7 6 1 GG = 1 7 6 2 GG = 1 7 6 3 GG = 1 7 6 4 GG = 1 7 6 5 GG = 1 7 6 7 GG = 1 7 7 1 GG = 1 7 7 2 GG = 1 7 7 3 GG = 1 7 7 4 GG = 1 7 7 6 GG = 1 7 7 7 GG = 2 1 2 2 GG = 2 1 2 3 GG = 2 1 2 4 GG = 2 1 2 5 GG = 2 1 2 6 GG = 2 1 2 7 GG = 2 1 3 1 GG = 2 1 3 2 GG = 2 1 3 3 GG = 2 1 3 4 GG = 2 1 3 5 GG = 2 1 3 6 GG = 2 1 3 7 GG = 2 1 4 2 GG = 2 1 4 3 GG = 2 1 4 4 GG = 2 1 4 5 GG = 2 1 4 6 GG = 2 1 4 7 GG = 2 1 5 1 GG = 2 1 5 2 GG = 2 1 5 3 GG = 2 1 5 4 GG = 2 1 5 5 GG = 2 1 5 6 GG = 2 1 6 1 GG = 2 1 6 2 GG = 2 1 6 3 GG = 2 1 6 4 GG = 2 1 6 5 GG = 2 1 6 7 GG = 2 1 7 1 GG = 2 1 7 2 GG = 2 1 7 3 GG = 2 1 7 4 GG = 2 1 7 6 GG = 2 1 7 7 GG = 2 2 2 3 GG = 2 2 2 4 GG = 2 2 2 5 GG = 2 2 2 6 GG = 2 2 2 7 GG = 2 2 3 1 GG = 2 2 3 2 GG = 2 2 3 3 GG = 2 2 3 4 GG = 2 2 3 5 GG = 2 2 3 6 GG = 2 2 3 7 GG = 2 2 4 2 GG = 2 2 4 3 GG = 2 2 4 4 GG = 2 2 4 5 GG = 2 2 4 6 GG = 2 2 4 7 GG = 2 2 5 1 GG = 2 2 5 2 GG = 2 2 5 3 GG = 2 2 5 4 GG = 2 2 5 5 GG = 2 2 5 6 GG = 2 2 6 1 GG = 2 2 6 2 GG = 2 2 6 3 GG = 2 2 6 4 GG = 2 2 6 5 GG = 2 2 6 7 GG = 2 2 7 1 GG = 2 2 7 2 GG = 2 ...