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Solution 334445

Submitted on 16 Oct 2013 by Ziko

Correct

68Size
Leading solution size is 25.
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
 
%%
user_solution = fileread('dots_in_circle.m');
assert(isempty(strfind(user_solution,'regexp')));
assert(isempty(strfind(user_solution,'2str')));
assert(isempty(strfind(user_solution,'str2')));
assert(isempty(strfind(user_solution,'interp')));
assert(isempty(strfind(user_solution,'printf')));
assert(isempty(strfind(user_solution,'assert')));

                    
2
Pass
 
%%
r = 0;
n_correct = 1;
assert(isequal(dots_in_circle(r),n_correct))
a =
     1
n =
     1
3
Pass
 
%%
r = 1;
n_correct = 5;
assert(isequal(dots_in_circle(r),n_correct))
a =
     0     1     0
     1     1     1
     0     1     0
n =
     5
4
Pass
 
%%
r = 2;
n_correct = 13;
assert(isequal(dots_in_circle(r),n_correct))
a =
     0     0     1     0     0
     0     1     1     1     0
     1     1     1     1     1
     0     1     1     1     0
     0     0     1     0     0
n =
    13
5
Pass
 
%%
r = 3;
n_correct = 29;
assert(isequal(dots_in_circle(r),n_correct))
a =
     0     0     0     1     0     0     0
     0     1     1     1     1     1     0
     0     1     1     1     1     1     0
     1     1     1     1     1     1     1
     0     1     1     1     1     1     0
     0     1     1     1     1     1     0
     0     0     0     1     0     0     0
n =
    29
6
Pass
 
%%
r = 4;
n_correct = 49;
assert(isequal(dots_in_circle(r),n_correct))
a =
     0     0     0     0     1     0     0     0     0
     0     0     1     1     1     1     1     0     0
     0     1     1     1     1     1     1     1     0
     0     1     1     1     1     1     1     1     0
     1     1     1     1     1     1     1     1     1
     0     1     1     1     1     1     1     1     0
     0     1     1     1     1     1     1     1     0
     0     0     1     1     1     1     1     0     0
     0     0     0     0     1     0     0     0     0
n =
    49
7
Pass
 
%%
r = 5;
n_correct = 81;
assert(isequal(dots_in_circle(r),n_correct))
a =
     0     0     0     0     0     1     0     0     0     0     0
     0     0     1     1     1     1     1     1     1     0     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
     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     0     1     1     1     1     1     1     1     0     0
     0     0     0     0     0     1     0     0     0     0     0
n =
    81
8
Pass
 
%%
r = 7.5;
n_correct = 177;
assert(isequal(dots_in_circle(r),n_correct))
a =
     0     0     0     0     0     1     1     1     1     1     0     0     0     0     0     0
     0     0     0     1     1     1     1     1     1     1     1     1     0     0     0     0
     0     0     1     1     1     1     1     1     1     1     1     1     1     0     0     0
     0     1     1     1     1     1     1     1     1     1     1     1     1     1     0     0
     0     1     1     1     1     1     1     1     1     1     1     1     1     1     0     0
     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     1     1     1     1     1     1     0
     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     1     1     1     1     1     1     0
     1     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     1     1     1     1     0     0
     0     1     1     1     1     1     1     1     1     1     1     1     1     1     0     0
     0     0     1     1     1     1     1     1     1     1     1     1     1     0     0     0
     0     0     0     1     1     1     1     1     1     1     1     1     0     0     0     0
     0     0     0     0     0     1     1     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
n =
   177
9
Pass
 
%%
r = 10;
n_correct = 317;
assert(isequal(dots_in_circle(r),n_correct))
a =
  Columns 1 through 16
     0     0     0     0     0     0     0     0     0     0     1     0     0     0     0     0
     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1     0
     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     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     1     1     1     1     1
     0     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     1     1     1     1     1     1
     0     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     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     1     1     1     1     1     1
     0     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     1     1     1     1     1     1
     0     1     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     1     1     1     1     1
     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1     0
     0     0     0     0     0     0     0     0     0     0     1     0     0     0     0     0
  Columns 17 through 21
     0     0     0     0     0
     0     0     0     0     0
     1     0     0     0     0
     1     1     0     0     0
     1     1     1     0     0
     1     1     1     0     0
     1     1     1     1     0
     1     1     1     1     0
     1     1     1     1     0
     1     1     1     1     0
     1     1     1     1     1
     1     1     1     1     0
     1     1     1     1     0
     1     1     1     1     0
     1     1     1     1     0
     1     1     1     0     0
     1     1     1     0     0
     1     1     0     0     0
     1     0     0     0     0
     0     0     0     0     0
     0     0     0     0     0
n =
   317
10
Pass
 
%%
r = 20;
n_correct = 1257;
assert(isequal(dots_in_circle(r),n_correct))
a =
  Columns 1 through 16
     0     0     0     0     0     0     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     0     0     0     1     1     1     1
     0     0     0     0     0     0     0     0     0     0     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     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     1     1     1     1     1
     0     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     1     1     1     1     1     1
     0     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     1     1     1     1     1     1
     0     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     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     1     1     1     1     1     1
     0     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     1     1     1     1     1     1
     0     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     1     1     1     1     1     1
     0     1     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     1     1     1     1     1
     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     0     0     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     0     0     0     0     1     1     1     1
     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     0     0     0     0     0     0     0
  Columns 17 through 32
     0     0     0     0     1     0     0     0     0     0     0     0     0     0     0     0
     1     1     1     1     1     1     1     1     1     1     1     0     0     0     0     0
     1     1     1     1     1     1     1     1     1     1     1     1     1     0     0     0
     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     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     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     1     1     1     1     0     0     0
     1     1     1     1     1     1     1     1     1     1     1     0     0     0     0     0
     0     0     0     0     1     0     0     0     0     0     0     0     0     0     0     0
  Columns 33 through 41
     0     0     0     0     0     0     0     0     0
     0     0     0     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     1     0     0     0     0     0     0     0
     1     1     1     0     0     0     0     0     0
     1     1     1     1     0     0     0     0     0
     1     1     1     1     1     0     0     0     0
     1     1     1     1     1     0     0     0     0
     1     1     1     1     1     1     0     0     0
     1     1     1     1     1     1     0     0     0
     1     1     1     1     1     1     1     0     0
     1     1     1     1     1     1     1     0     0
     1     1     1     1     1     1     1     1     0
     1     1     1     1     1     1     1     1     0
     1     1     1     1     1     1     1     1     0
     1     1     1     1     1     1     1     1     0
     1     1     1     1     1     1     1     1     0
     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     0
     1     1     1     1     1     1     1     1     0
     1     1     1     1     1     1     1     1     0
     1     1     1     1     1     1     1     1     0
     1     1     1     1     1     1     1     1     0
     1     1     1     1     1     1     1     1     0
     1     1     1     1     1     1     1     0     0
     1     1     1     1     1     1     1     0     0
     1     1     1     1     1     1     0     0     0
     1     1     1     1     1     1     0     0     0
     1     1     1     1     1     0     0     0     0
     1     1     1     1     1     0     0     0     0
     1     1     1     1     0     0     0     0     0
     1     1     1     0     0     0     0     0     0
     1     1     0     0     0     0     0   ...
11
Pass
 
%%
r = 30;
n_correct = 2821;
assert(isequal(dots_in_circle(r),n_correct))
a =
  Columns 1 through 16
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     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     0     0     0     1     1     1     1
     0     0     0     0     0     0     0     0     0     0     0     1     1     1     1     1
     0     0     0     0     0     0     0     0     0     0     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     0     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     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     1     1     1     1     1
     0     0     1     1     1     1     1     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
     0     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     1     1     1     1     1     1
     0     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     1     1     1     1     1     1
     0     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     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     1     1     1     1     1     1
     0     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     1     1     1     1     1     1
     0     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     1     1     1     1     1     1
     0     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     1     1     1     1     1     1
     0     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     1     1     1     1     1
     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     0     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     0     0     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     0     0     0     1     1     1     1     1
     0     0     0     0     0     0     0     0     0     0     0     0     1     1     1     1
     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     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
  Columns 17 through 32
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     1     0
     0     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1
     0     0     0     0     1     1     1     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     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1...
12
Pass
 
%%
r = 40;
n_correct = 5025;
assert(isequal(dots_in_circle(r),n_correct))
a =
  Columns 1 through 16
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     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     1     1
     0     0     0     0     0     0     0     0     0     0     0     0     0     1     1     1
     0     0     0     0     0     0     0     0     0     0     0     0     1     1     1     1
     0     0     0     0     0     0     0     0     0     0     0     1     1     1     1     1
     0     0     0     0     0     0     0     0     0     0     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     0     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     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     1     1     1     1     1
     0     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     1     1     1     1     1
     0     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     1     1     1     1     1     1
     0     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     1     1     1     1     1     1
     0     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     1     1     1     1     1     1
     0     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     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     1     1     1     1     1     1
     0     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     1     1     1     1     1     1
     0     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     1     1     1     1     1     1
     0     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     1     1     1     1     1     1
     0     1     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     1     1     1     1     1
     0     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     1     1     1     1     1
     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     0     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     0     0     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     0     0     0     1     1     1     1     1
     0     0     0     0     0     0     0     0     0     0     0     0     1     1     1     1
     0     0     0     0     0     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     1     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
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
  Columns 17 through 32
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     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     1
     0     0     0     0     0     0     0     0     0     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     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     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     1     1     1     1     1     1     1     1     1...
13
Pass
 
%%
r = 50;
n_correct = 7845;
assert(isequal(dots_in_circle(r),n_correct))
a =
  Columns 1 through 16
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     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     1     1
     0     0     0     0     0     0     0     0     0     0     0     0     0     1     1     1
     0     0     0     0     0     0     0     0     0     0     0     0     1     1     1     1
     0     0     0     0     0     0     0     0     0     0     0     1     1     1     1     1
     0     0     0     0     0     0     0     0     0     0     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     0     0     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     0     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     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     1     1     1     1     1
     0     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     1     1     1     1     1
     0     0     1     1     1     1     1     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
     0     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     1     1     1     1     1     1
     0     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     1     1     1     1     1     1
     0     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     1     1     1     1     1     1
     0     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     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     1     1     1     1     1     1
     0     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     1     1     1     1     1     1
     0     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     1     1     1     1     1     1
     0     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     1     1     1     1     1     1
     0     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     1     1     1     1     1     1
     0     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     1     1     1     1     1
     0     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     1     1     1     1     1
     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     0     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     0     0     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     0     0     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     0     0     0     1     1     1     1     1
     0     0     0     0     0     0     0     0     0     0     0     0     1     1     1     1
     0     0     0     0     0     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     1     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
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
  Columns 17 through 32
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0...
14
Pass
 
%%
r = 75;
n_correct = 17665;
assert(isequal(dots_in_circle(r),n_correct))
a =
  Columns 1 through 16
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     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     1
     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     0     0     0     0     1     1     1
     0     0     0     0     0     0     0     0     0     0     0     0     0     1     1     1
     0     0     0     0     0     0     0     0     0     0     0     0     1     1     1     1
     0     0     0     0     0     0     0     0     0     0     0     1     1     1     1     1
     0     0     0     0     0     0     0     0     0     0     0     1     1     1     1     1
     0     0     0     0     0     0     0     0     0     0     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     0     0     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     0     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     0     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     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     1     1     1     1     1
     0     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     1     1     1     1     1
     0     0     1     1     1     1     1     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
     0     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     1     1     1     1     1     1
     0     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     1     1     1     1     1     1
     0     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     1     1     1     1     1     1
     0     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     1     1     1     1     1     1
     0     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     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
     0     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     1     1     1     1     1     1
     0     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     1     1     1     1     1     1
     0     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     1     1     1     1     1     1
     0     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     1     1     1     1     1     1
     0     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     1     1     1     1     1     1
     0     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     1     1     1     1     1     1
     0     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     1     1     1     1     1
     0     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     1     1     1     1     1
     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     1     1     1     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     1     1     1     1     1     1     1...
15
Fail
 
%%
r = 100;
n_correct = 31417;
assert(isequal(dots_in_circle(r),n_correct))
a =
  Columns 1 through 16
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
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     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
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     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
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     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     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
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     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     0     0     0     0     1     1     1
     0     0     0     0     0     0     0     0     0     0     0     0     0     1     1     1
     0     0     0     0     0     0     0     0     0     0     0     0     1     1     1     1
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     0     0     0     0     0     0     0     0     0     0     0     1     1     1     1     1
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     0     0     0     0     0     0     0     0     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     0     1     1     1     1     1     1     1     1
     0     0     0     0     0     0     0     1     1     1     1     1     1