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Correct

31Size
Leading solution size is 16.
This solution is locked. To view this solution, you need to provide a solution of the same size or smaller.

Test Suite

Test
Code Input and Output
1
Pass
 
%%
n = 10; c = 3;
M = createMatrix(n,c);
assert( all(sum(M,1)==c) && all(sum(M,2)==c) && all(diag(M)==0) && ...
	islogical(M) && ismatrix(M) && all(size(M)==n) )
a =
     0     0     0     0     0     0     0     0     0     0
a =
     0     1     1     1     0     0     0     0     0     0
ans =
     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     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     1     1     1
     1     0     0     0     0     0     0     0     1     1
     1     1     0     0     0     0     0     0     0     1
     1     1     1     0     0     0     0     0     0     0
2
Pass
 
%%
n = 2; c = 1;
M = createMatrix(n,c);
assert( all(sum(M,1)==c) && all(sum(M,2)==c) && all(diag(M)==0) && ...
	islogical(M) && ismatrix(M) && all(size(M)==n) )
a =
     0     0
a =
     0     1
ans =
     0     1
     1     0
3
Pass
 
%%
n = 10; c = 9;
M = createMatrix(n,c);
assert( all(sum(M,1)==c) && all(sum(M,2)==c) && all(diag(M)==0) && ...
	islogical(M) && ismatrix(M) && all(size(M)==n) )
a =
     0     0     0     0     0     0     0     0     0     0
a =
     0     1     1     1     1     1     1     1     1     1
ans =
     0     1     1     1     1     1     1     1     1     1
     1     0     1     1     1     1     1     1     1     1
     1     1     0     1     1     1     1     1     1     1
     1     1     1     0     1     1     1     1     1     1
     1     1     1     1     0     1     1     1     1     1
     1     1     1     1     1     0     1     1     1     1
     1     1     1     1     1     1     0     1     1     1
     1     1     1     1     1     1     1     0     1     1
     1     1     1     1     1     1     1     1     0     1
     1     1     1     1     1     1     1     1     1     0
4
Pass
 
%%
n = 100; c = 50;
M = createMatrix(n,c);
assert( all(sum(M,1)==c) && all(sum(M,2)==c) && all(diag(M)==0) && ...
	islogical(M) && ismatrix(M) && all(size(M)==n) )
a =
  Columns 1 through 10
     0     0     0     0     0     0     0     0     0     0
  Columns 11 through 20
     0     0     0     0     0     0     0     0     0     0
  Columns 21 through 30
     0     0     0     0     0     0     0     0     0     0
  Columns 31 through 40
     0     0     0     0     0     0     0     0     0     0
  Columns 41 through 50
     0     0     0     0     0     0     0     0     0     0
  Columns 51 through 60
     0     0     0     0     0     0     0     0     0     0
  Columns 61 through 70
     0     0     0     0     0     0     0     0     0     0
  Columns 71 through 80
     0     0     0     0     0     0     0     0     0     0
  Columns 81 through 90
     0     0     0     0     0     0     0     0     0     0
  Columns 91 through 100
     0     0     0     0     0     0     0     0     0     0
a =
  Columns 1 through 10
     0     1     1     1     1     1     1     1     1     1
  Columns 11 through 20
     1     1     1     1     1     1     1     1     1     1
  Columns 21 through 30
     1     1     1     1     1     1     1     1     1     1
  Columns 31 through 40
     1     1     1     1     1     1     1     1     1     1
  Columns 41 through 50
     1     1     1     1     1     1     1     1     1     1
  Columns 51 through 60
     1     0     0     0     0     0     0     0     0     0
  Columns 61 through 70
     0     0     0     0     0     0     0     0     0     0
  Columns 71 through 80
     0     0     0     0     0     0     0     0     0     0
  Columns 81 through 90
     0     0     0     0     0     0     0     0     0     0
  Columns 91 through 100
     0     0     0     0     0     0     0     0     0     0
ans =
  Columns 1 through 10
     0     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     1
     0     0     0     0     1     1     1     1     1     1
     0     0     0     0     0     1     1     1     1     1
     0     0     0     0     0     0     1     1     1     1
     0     0     0     0     0     0     0     1     1     1
     0     0     0     0     0     0     0     0     1     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     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     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     1     0     0     0     0     0     0     0     0
     1     1     1     0     0     0     0     0     0     0
     1     1     1     1     0     0     0     0     0     0
     1     1     1     1     1     0     0     0     0     0
     1     1     1     1     1     1     0     0     0     0
     1     1     1     1     1     1     1     0     0     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     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
  Columns 11 through 20
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     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     1     1     1     1
     0     0     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1
     0     0     0     0     1     1     1     1     1     1
     0     0     0     0     0     1     1     1     1     1
     0     0     0     0     0     0     1     1     1     1
     0     0     0     0     0     0     0     1     1     1
     0     0     0     0     0     0     0     0     1     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     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
   ...
5
Pass
 
%%
n = randi([2 20]); c = randi([1 n-1]);
M = createMatrix(n,c);
assert( all(sum(M,1)==c) && all(sum(M,2)==c) && all(diag(M)==0) && ...
	islogical(M) && ismatrix(M) && all(size(M)==n) )
a =
  Columns 1 through 10
     0     0     0     0     0     0     0     0     0     0
  Columns 11 through 14
     0     0     0     0
a =
  Columns 1 through 10
     0     1     1     1     1     1     1     1     1     0
  Columns 11 through 14
     0     0     0     0
ans =
  Columns 1 through 10
     0     1     1     1     1     1     1     1     1     0
     0     0     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1
     0     0     0     0     1     1     1     1     1     1
     0     0     0     0     0     1     1     1     1     1
     0     0     0     0     0     0     1     1     1     1
     1     0     0     0     0     0     0     1     1     1
     1     1     0     0     0     0     0     0     1     1
     1     1     1     0     0     0     0     0     0     1
     1     1     1     1     0     0     0     0     0     0
     1     1     1     1     1     0     0     0     0     0
     1     1     1     1     1     1     0     0     0     0
     1     1     1     1     1     1     1     0     0     0
     1     1     1     1     1     1     1     1     0     0
  Columns 11 through 14
     0     0     0     0
     0     0     0     0
     1     0     0     0
     1     1     0     0
     1     1     1     0
     1     1     1     1
     1     1     1     1
     1     1     1     1
     1     1     1     1
     1     1     1     1
     0     1     1     1
     0     0     1     1
     0     0     0     1
     0     0     0     0
6
Pass
 
%%
n = randi([20 100]); c = randi([10 n-1]);
M = createMatrix(n,c);
assert( all(sum(M,1)==c) && all(sum(M,2)==c) && all(diag(M)==0) && ...
	islogical(M) && ismatrix(M) && all(size(M)==n) )
a =
  Columns 1 through 10
     0     0     0     0     0     0     0     0     0     0
  Columns 11 through 20
     0     0     0     0     0     0     0     0     0     0
  Columns 21 through 30
     0     0     0     0     0     0     0     0     0     0
  Columns 31 through 36
     0     0     0     0     0     0
a =
  Columns 1 through 10
     0     1     1     1     1     1     1     1     1     1
  Columns 11 through 20
     1     1     1     1     1     1     1     1     1     1
  Columns 21 through 30
     1     1     1     1     1     1     1     1     1     1
  Columns 31 through 36
     1     1     1     1     1     0
ans =
  Columns 1 through 10
     0     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     1     1     1     1
     1     1     0     0     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     1
     1     1     1     1     1     0     0     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     1     1     1     1     1     1     0     0
     1     1     1     1     1     1     1     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     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
  Columns 11 through 20
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     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     1     1     1     1
     0     0     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     1     1     1
     1     1     1     0     0     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
     1     1     1     1     1     1     0     0     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     1     1     1     1     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     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
  Columns 21 through 30
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     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     1     1     1     1
     0     0     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     1     1     1
     1     1     1     0     0     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
     1     1     1     1     1     1     0     0     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     1     1     1     1     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
  Columns 31 through 36
     1     1     1     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     1     1     1     1
     1     1     1     1     1     1
     1     1     1     1     1     1
     1     1     1     1     1     1
     1     1     1     1     1     1
     1     1     1     1     1     1
     1     1     1     1     1     1
     1     1     1     1     1     1
     1     1     1     1     1     1
     1     1     1     1     1     1
     1     1     1     1     1     1
     1     1     1     1     1     1
     1     1     1     1     1     1
     1     1     1     1     1     1
     1     1     1     1     1     1
     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     1     1     1     1
     1     0     0     1     1     1
     1     1     0     0     1     1
     1     1     1     0     0     1
     1     1     1     1     0     0