4    0, 1, 3, 3, 1, 2, 3, 3, 5, 6, 7, 7, 6, 6, 7, 7, 0, 1, 3, 3, 1, 2, 3, 3, 5, 6, 7, 7, 6, 6, 7, 7,
 
    5    5, 6, 7, 7, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 5, 6, 7, 7, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8,
 
    6    1, 2, 3, 3, 2, 2, 3, 3, 6, 6, 7, 7, 6, 6, 7, 7, 1, 2, 3, 3, 2, 2, 3, 3, 6, 6, 7, 7, 6, 6, 7, 7,
 
    7    6, 6, 7, 7, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8,
 
    8    3, 3, 4, 4, 3, 3, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 4, 4, 3, 3, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7,
 
    9    7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8,
 
   10    3, 3, 4, 4, 3, 3, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 4, 4, 3, 3, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7,
 
   11    7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8,
 
   12    1, 2, 3, 3, 2, 2, 3, 3, 6, 6, 7, 7, 6, 6, 7, 7, 1, 2, 3, 3, 2, 2, 3, 3, 6, 6, 7, 7, 6, 6, 7, 7,
 
   13    6, 6, 7, 7, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8,
 
   14    2, 2, 3, 3, 2, 2, 3, 3, 6, 6, 7, 7, 6, 6, 7, 7, 2, 2, 3, 3, 2, 2, 3, 3, 6, 6, 7, 7, 6, 6, 7, 7,
 
   15    6, 6, 7, 7, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8,
 
   16    3, 3, 4, 4, 3, 3, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 4, 4, 3, 3, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7,
 
   17    7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8,
 
   18    3, 3, 4, 4, 3, 3, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 4, 4, 3, 3, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7,
 
   19    7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8,
 
   20    0, 1, 5, 6, 1, 2, 6, 6, 3, 3, 7, 7, 3, 3, 7, 7, 0, 1, 5, 6, 1, 2, 6, 6, 3, 3, 7, 7, 3, 3, 7, 7,
 
   21    3, 3, 7, 7, 3, 3, 7, 7, 4, 4, 7, 7, 4, 4, 7, 7, 3, 3, 7, 7, 3, 3, 7, 7, 4, 4, 7, 7, 4, 4, 7, 7,
 
   22    1, 2, 6, 6, 2, 2, 6, 6, 3, 3, 7, 7, 3, 3, 7, 7, 1, 2, 6, 6, 2, 2, 6, 6, 3, 3, 7, 7, 3, 3, 7, 7,
 
   23    3, 3, 7, 7, 3, 3, 7, 7, 4, 4, 7, 7, 4, 4, 7, 7, 3, 3, 7, 7, 3, 3, 7, 7, 4, 4, 7, 7, 4, 4, 7, 7,
 
   24    5, 6, 8, 8, 6, 6, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 5, 6, 8, 8, 6, 6, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8,
 
   25    7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8,
 
   26    6, 6, 8, 8, 6, 6, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 6, 6, 8, 8, 6, 6, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8,
 
   27    7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8,
 
   28    1, 2, 6, 6, 2, 2, 6, 6, 3, 3, 7, 7, 3, 3, 7, 7, 1, 2, 6, 6, 2, 2, 6, 6, 3, 3, 7, 7, 3, 3, 7, 7,
 
   29    3, 3, 7, 7, 3, 3, 7, 7, 4, 4, 7, 7, 4, 4, 7, 7, 3, 3, 7, 7, 3, 3, 7, 7, 4, 4, 7, 7, 4, 4, 7, 7,
 
   30    2, 2, 6, 6, 2, 2, 6, 6, 3, 3, 7, 7, 3, 3, 7, 7, 2, 2, 6, 6, 2, 2, 6, 6, 3, 3, 7, 7, 3, 3, 7, 7,
 
   31    3, 3, 7, 7, 3, 3, 7, 7, 4, 4, 7, 7, 4, 4, 7, 7, 3, 3, 7, 7, 3, 3, 7, 7, 4, 4, 7, 7, 4, 4, 7, 7,
 
   32    6, 6, 8, 8, 6, 6, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 6, 6, 8, 8, 6, 6, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8,
 
   33    7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8,
 
   34    6, 6, 8, 8, 6, 6, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 6, 6, 8, 8, 6, 6, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8,
 
   35    7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8,
 
   36    0, 1, 3, 3, 1, 2, 3, 3, 5, 6, 7, 7, 6, 6, 7, 7, 0, 1, 3, 3, 1, 2, 3, 3, 5, 6, 7, 7, 6, 6, 7, 7,
 
   37    5, 6, 7, 7, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 5, 6, 7, 7, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8,
 
   38    1, 2, 3, 3, 2, 2, 3, 3, 6, 6, 7, 7, 6, 6, 7, 7, 1, 2, 3, 3, 2, 2, 3, 3, 6, 6, 7, 7, 6, 6, 7, 7,
 
   39    6, 6, 7, 7, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8,
 
   40    3, 3, 4, 4, 3, 3, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 4, 4, 3, 3, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7,
 
   41    7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8,
 
   42    3, 3, 4, 4, 3, 3, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 4, 4, 3, 3, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7,
 
   43    7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8,
 
   44    1, 2, 3, 3, 2, 2, 3, 3, 6, 6, 7, 7, 6, 6, 7, 7, 1, 2, 3, 3, 2, 2, 3, 3, 6, 6, 7, 7, 6, 6, 7, 7,
 
   45    6, 6, 7, 7, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8,
 
   46    2, 2, 3, 3, 2, 2, 3, 3, 6, 6, 7, 7, 6, 6, 7, 7, 2, 2, 3, 3, 2, 2, 3, 3, 6, 6, 7, 7, 6, 6, 7, 7,
 
   47    6, 6, 7, 7, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8,
 
   48    3, 3, 4, 4, 3, 3, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 4, 4, 3, 3, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7,
 
   49    7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8,
 
   50    3, 3, 4, 4, 3, 3, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 4, 4, 3, 3, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7,
 
   51    7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8,
 
   52    0, 3, 1, 4, 3, 6, 4, 7, 1, 4, 2, 5, 4, 7, 5, 7, 0, 3, 1, 4, 3, 6, 4, 7, 1, 4, 2, 5, 4, 7, 5, 7,
 
   53    1, 4, 2, 5, 4, 7, 5, 7, 2, 5, 2, 5, 5, 7, 5, 7, 1, 4, 2, 5, 4, 7, 5, 7, 2, 5, 2, 5, 5, 7, 5, 7,
 
   54    3, 6, 4, 7, 6, 8, 7, 8, 4, 7, 5, 7, 7, 8, 7, 8, 3, 6, 4, 7, 6, 8, 7, 8, 4, 7, 5, 7, 7, 8, 7, 8,
 
   55    4, 7, 5, 7, 7, 8, 7, 8, 5, 7, 5, 7, 7, 8, 7, 8, 4, 7, 5, 7, 7, 8, 7, 8, 5, 7, 5, 7, 7, 8, 7, 8,
 
   56    1, 4, 2, 5, 4, 7, 5, 7, 2, 5, 2, 5, 5, 7, 5, 7, 1, 4, 2, 5, 4, 7, 5, 7, 2, 5, 2, 5, 5, 7, 5, 7,
 
   57    2, 5, 2, 5, 5, 7, 5, 7, 2, 5, 2, 5, 5, 7, 5, 7, 2, 5, 2, 5, 5, 7, 5, 7, 2, 5, 2, 5, 5, 7, 5, 7,
 
   58    4, 7, 5, 7, 7, 8, 7, 8, 5, 7, 5, 7, 7, 8, 7, 8, 4, 7, 5, 7, 7, 8, 7, 8, 5, 7, 5, 7, 7, 8, 7, 8,
 
   59    5, 7, 5, 7, 7, 8, 7, 8, 5, 7, 5, 7, 7, 8, 7, 8, 5, 7, 5, 7, 7, 8, 7, 8, 5, 7, 5, 7, 7, 8, 7, 8,
 
   60    3, 6, 4, 7, 6, 8, 7, 8, 4, 7, 5, 7, 7, 8, 7, 8, 3, 6, 4, 7, 6, 8, 7, 8, 4, 7, 5, 7, 7, 8, 7, 8,
 
   61    4, 7, 5, 7, 7, 8, 7, 8, 5, 7, 5, 7, 7, 8, 7, 8, 4, 7, 5, 7, 7, 8, 7, 8, 5, 7, 5, 7, 7, 8, 7, 8,
 
   62    6, 8, 7, 8, 8, 8, 8, 8, 7, 8, 7, 8, 8, 8, 8, 8, 6, 8, 7, 8, 8, 8, 8, 8, 7, 8, 7, 8, 8, 8, 8, 8,
 
   63    7, 8, 7, 8, 8, 8, 8, 8, 7, 8, 7, 8, 8, 8, 8, 8, 7, 8, 7, 8, 8, 8, 8, 8, 7, 8, 7, 8, 8, 8, 8, 8,
 
   64    4, 7, 5, 7, 7, 8, 7, 8, 5, 7, 5, 7, 7, 8, 7, 8, 4, 7, 5, 7, 7, 8, 7, 8, 5, 7, 5, 7, 7, 8, 7, 8,
 
   65    5, 7, 5, 7, 7, 8, 7, 8, 5, 7, 5, 7, 7, 8, 7, 8, 5, 7, 5, 7, 7, 8, 7, 8, 5, 7, 5, 7, 7, 8, 7, 8,
 
   66    7, 8, 7, 8, 8, 8, 8, 8, 7, 8, 7, 8, 8, 8, 8, 8, 7, 8, 7, 8, 8, 8, 8, 8, 7, 8, 7, 8, 8, 8, 8, 8,
 
   67    7, 8, 7, 8, 8, 8, 8, 8, 7, 8, 7, 8, 8, 8, 8, 8, 7, 8, 7, 8, 8, 8, 8, 8, 7, 8, 7, 8, 8, 8, 8, 8