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Solution 160509

Submitted on 11 Nov 2012 by Rijk

Correct

146Size
Leading solution size is 11.
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 = 4;
d = 2;
%p = isprime(spiral(n));imagesc(p)
assert(isequal(prime_spiral(n),d))
A =
     1     0     0     0
     0     0     1     1
     1     0     1     0
     0     0     0     1
2
Pass
 
%%
n = 7;
d = 4;
assert(isequal(prime_spiral(n),d))
A =
     1     0     0     0     1     0     0
     0     0     0     1     0     0     0
     1     0     1     0     0     0     0
     0     1     0     0     1     1     0
     0     0     1     0     1     0     1
     0     1     0     0     0     1     0
     1     0     0     0     0     0     1
3
Pass
 
%%
n = 13;
d = 5;
assert(isequal(prime_spiral(n),d))
A =
  Columns 1 through 10
     1     0     0     0     0     0     1     0     0     0
     0     0     0     1     0     0     0     0     0     0
     0     0     1     0     0     0     0     0     1     0
     0     1     0     1     0     0     0     1     0     0
     0     0     1     0     0     0     1     0     0     0
     0     1     0     1     0     1     0     0     0     0
     1     0     0     0     1     0     0     1     1     0
     0     0     0     0     0     1     0     1     0     1
     1     0     1     0     1     0     0     0     1     0
     0     1     0     1     0     0     0     0     0     1
     0     0     0     0     0     0     1     0     1     0
     0     1     0     0     0     1     0     0     0     0
     0     0     0     0     0     0     1     0     1     0
  Columns 11 through 13
     1     0     0
     0     0     0
     0     0     0
     0     1     0
     0     0     0
     0     0     0
     1     0     1
     0     0     0
     0     0     0
     0     1     0
     0     0     1
     0     0     0
     0     0     0
4
Pass
 
%%
n = 52;
d = 6;
assert(isequal(prime_spiral(n),d))
A =
  Columns 1 through 10
     1     0     0     0     0     0     1     0     0     0
     0     0     0     0     0     1     0     0     0     0
     1     0     0     0     0     0     0     0     0     0
     0     1     0     0     0     0     0     0     0     1
     0     0     1     0     0     0     0     0     1     0
     0     0     0     1     0     0     0     0     0     0
     0     0     0     0     0     0     1     0     0     0
     0     1     0     0     0     0     0     0     0     0
     1     0     0     0     0     0     1     0     0     0
     0     0     0     0     0     1     0     0     0     0
     0     0     0     0     1     0     0     0     0     0
     0     0     0     1     0     0     0     0     0     0
     1     0     1     0     0     0     0     0     1     0
     0     1     0     0     0     0     0     1     0     0
     0     0     0     0     0     0     0     0     0     0
     0     1     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     1
     0     0     0     0     0     0     1     0     1     0
     0     0     0     0     0     1     0     1     0     0
     1     0     0     0     0     0     0     0     0     0
     0     1     0     0     0     0     0     1     0     0
     0     0     1     0     1     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     1     0     1     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     1     0     0     0     1
     0     0     1     0     1     0     0     0     1     0
     0     0     0     0     0     0     0     0     0     0
     1     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     1     0     1     0     1     0     1
     0     0     1     0     1     0     0     0     0     0
     0     0     0     1     0     0     0     0     0     1
     0     0     1     0     0     0     1     0     1     0
     0     0     0     0     0     1     0     1     0     0
     0     0     0     0     0     0     1     0     0     0
     0     0     0     0     0     1     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     1     0     0     0
     0     1     0     0     0     0     0     1     0     0
     0     0     0     0     0     0     0     0     0     0
     0     1     0     0     0     1     0     0     0     1
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     1     0     1
     1     0     0     0     0     0     1     0     1     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     1     0     0     0     0
  Columns 11 through 20
     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     1     0
     0     0     0     0     0     1     0     0     0     1
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     1     0     1     0     0     0     1     0     0     0
     0     0     0     0     0     0     0     0     0     0
     1     0     0     0     0     0     0     0     1     0
     0     0     0     1     0     1     0     0     0     0
     0     0     0     0     0     0     1     0     0     0
     0     0     0     0     0     0     0     0     0     1
     1     0     0     0     0     0     0     0     1     0
     0     1     0     1     0     0     0     0     0     1
     0     0     1     0     0     0     1     0     0     0
     0     1     0     1     0     1     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     1     0     0     0     1     0
     0     0     0     0     0     0     0     1     0     1
     0     0     0     0     0     0     0     0     0     0
     0     0     0     1     0     0     0     1     0     0
     1     0     0     0     1     0     1     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     1
     0     0     0     0     0     0     0     0     0     0
     0     1     0     1     0     1     0     1     0     1
     0     0     0     0     0     0     1     0     0     0
     0     0     0     0     0     0     0     0     0     0
     1     0     0     0     1     0     0     0     1     0
     0     0     0     0     0     0     0     0     0     0
     0     0     1     0     0     0     0     0     1     0
     0     0     0     0     0     0     0     1     0     0
     1     0     0     0     1     0     0     0     0     0
     0     0     0     0     0     1     0     0     0     1
     0     0     0     0     0     0     0     0     0     0
     0     1     0     1     0     0     0     0     0     1
     0     0     1     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     1     0     1     0     0     0     0
     0     0     1     0     1     0     0     0     0     0
     0     0     0     1     0     1     0     0     0     0
     0     0     1     0     0     0     0     0     1     0
     0     0     0     0     0     0     0     0     0     0
     1     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     1     0     0     0     0     0     1
     0     0     0     0     0     0     0     0     0     0
     0     1     0     0     0     1     0     1     0     0
  Columns 21 through 30
     0     0     0     0     0     0     0     0     1     0
     0     0     0     0     0     1     0     0     0     1
     0     0     0     0     0     0     0     0     0     0
     0     1     0     0     0     1     0     0     0     0
     1     0     0     0     0     0     0     0     1     0
     0     1     0     0     0     0     0     1     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     1     0     0     0     0     0     0     0     0
     1     0     0     0     0     0     1     0     0     0
     0     1     0     0     0     1     0     1     0     0
     0     0     0     0     0     0     0     0     1     0
     0     0     0     0     0     1     0     0     0     1
     0     0     0     0     0     0     0     0     1     0
     0     0     0     0     0     1     0     1     0     0
     1     0     1     0     0     0     1     0     0     0
     0     1     0     0     0     1     0     1     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     1     0     0     0     1
     0     0     1     0     0     0     0     0     0     0
     0     1     0     0     0     0     0     1     0     0
     1     0     1     0     0     0     1     0     0     0
     0     1     0     0     0     1     0     0     0     0
     1     0     1     0     1     0     0     0     0     0
     0     0     0     1     0     0     1     1     0     1
     0     0     0     0     1     0     1     0     1     0
     0     1     0     1     0     0     0     1     0     0
     1     0     1     0     0     0     0     0     1     0
     0     0     0     0     0     1     0     1     0     0
     1     0     0     0     1     0     0     0     0     0
     0     0     0     0     0     1     0     1     0     0
     0     0     1     0     1     0     0     0     0     0
     0     0     0     1     0     0     0     0     0     0
     0     0     0     0     1     0     0     0     1     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     0     0     0     1     0     0
     0     0     0     0     0     0     0     0     1     0
     0     0     0     1     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     0     0     0     0     0     0     0
     0     1     0     0     0     1     0     1     0     0
     0     0     1     0     1     0     0     0     1     0
     0     0     0     1     0     0     0     1     0     0
     0     0     1     0     0     0     0     0     1     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     1     0     0     0     0
     0     0     0     0     1     0     0     0     1     0
     0     1     0     0     0     0     0     1     0     0
  Columns 31 through 40
     0     0     0     0     0     0     0     0     0     0
     0     1     0     0     0     0     0     1     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     1     0     0     0     0     0     1
     0     0     0     0     0     0     0     0     0     0
     0     1     0     1     0     0     0     0     0     0
     0     0     0...
5
Pass
 
%%
n = 81;
d = 9;
assert(isequal(prime_spiral(n),d))
A =
  Columns 1 through 10
     1     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     1     0     0     0
     0     0     0     0     0     0     0     0     0     1
     0     0     1     0     0     0     0     0     1     0
     0     0     0     0     0     0     0     1     0     0
     0     0     1     0     0     0     0     0     0     0
     0     0     0     0     0     1     0     1     0     0
     1     0     0     0     0     0     1     0     0     0
     0     0     0     0     0     1     0     1     0     1
     0     0     0     0     0     0     0     0     1     0
     0     0     0     0     0     0     0     0     0     0
     1     0     1     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     0     0     0     0     0
     0     0     1     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     1     0     0     0     0
     0     0     0     0     0     0     1     0     0     0
     0     1     0     0     0     0     0     1     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     1     0     0     0     0     0
     0     0     0     0     0     1     0     0     0     0
     0     0     0     0     0     0     1     0     0     0
     0     0     0     1     0     0     0     0     0     1
     0     0     1     0     1     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     1     0     0     0     1     0     0     0     1     0
     0     1     0     0     0     0     0     0     0     0
     1     0     0     0     0     0     0     0     0     0
     0     1     0     1     0     1     0     1     0     0
     0     0     1     0     1     0     0     0     0     0
     0     0     0     1     0     0     0     0     0     1
     0     0     0     0     0     0     1     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     1     0     1     0     1
     0     0     0     0     0     0     0     0     1     0
     0     0     0     0     0     0     0     0     0     0
     0     0     1     0     0     0     1     0     1     0
     0     1     0     0     0     1     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     1     0     0     0     0     0     0
     0     0     1     0     0     0     1     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     1     0     0     0
     0     1     0     1     0     0     0     0     0     0
     0     0     0     0     1     0     0     0     0     0
     0     0     0     1     0     0     0     0     0     1
     1     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     0
     0     0     0     0     0     1     0     1     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     1     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     1     0     0     0
     0     1     0     0     0     0     0     0     0     1
     0     0     1     0     1     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     1     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     1     0
     0     0     0     1     0     0     0     0     0     0
     0     0     1     0     1     0     0     0     0     0
     0     1     0     0     0     1     0     1     0     0
     0     0     0     0     0     0     0     0     0     0
     0     1     0     1     0     0     0     0     0     0
     0     0     1     0     0     0     0     0     0     0
     0     0     0     1     0     0     0     0     0     1
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     1     0     0
     0     0     0     0     1     0     0     0     0     0
  Columns 11 through 20
     1     0     0     0     0     0     0     0     0     0
     0     1     0     0     0     0     0     0     0     0
     1     0     0     0     0     0     1     0     1     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     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     1     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
     1     0     0     0     0     0     0     0     0     0
     0     0     0     1     0     0     0     0     0     0
     0     0     1     0     0     0     0     0     0     0
     0     0     0     1     0     1     0     0     0     0
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     0     0     0     0     0     1     0     0     0     0
     0     0     1     0     1     0     1     0     0     0
     0     0     0     0     0     0     0     1     0     0
     0     0     0     0     0     0     0     0     1     0
     0     1     0     1     0     0     0     0     0     0
     0     0     0     0     1     0     1     0     0     0
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     0     0     0     0     0     0     0     0     0     1
     0     0     0     0     0     0     0     0     1     0
     0     1     0     1     0     1     0     1     0     0
     1     0     0     0     0     0     1     0     0     0
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     0     0     0     0     1     0     1     0     0     0
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     1     0     0     0     0     0     0     0     0     0
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     0     0     1     0     0     0     1     0     0     0
     0     0     0     0     0     0     0     1     0     1
     0     0     1     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     1     0     1
     1     0     0     0     1     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     1     0     1     0     0     0     0     0
     0     1     0     0     0     0     0     1     0     1
     0     0     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     0     0     0     0     0     0     0     0     0
     1     0     0     0     0     0     0     0     1     0
     0     0     0     0     0     0     0     1     0     1
     0     0     0     0     0     0     0     0     1     0
     0     0     0     0     0     0     0     1     0     0
     0     0     0     0     1     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     1     0     0     0     0     0     0
     1     0     0     0     1     0     1     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     1     0     1     0     0     0
     0     1     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     1     0     0     0     1     0     0     0     0
     1     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     1     0     0     0     0     0     0
     0     0     1     0     0     0     0     0     0     0
     0     0     0     0     0     1     0     1     0     0
     0     0     0     0     0     0     0     0     1     0
     0     0     0     0     0     0     0     0     0     0
     0     0     1     0     1     0     0     0     0     0
     0     0     0     0     0     1     0     0     0     0
     1     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     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     1     0     0     0     0     0     1
     0     0     1     0     0     0     0     0     0     0
  Columns 21 through 30
     0     0     0     0     0     0     0...