0	 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
     1	 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0
     2	 0 0 0 0 1 1 1 1 2 2 2 2 3 3 3 3
     3	 0 0 1 0 1 0 0 0 0 0 0 1 0 1 0 0
     4	 0 1 0 0 0 0 0 1 1 0 0 0 0 0 1 0
     5	 0 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0
     6	 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 0
     7	 0 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0
     8	 0 1 1 0 1 2 2 1 1 2 2 1 0 1 1 0
     9	 0 1 1 0 2 0 0 2 2 0 0 2 0 1 1 0
    10	 0 1 1 0 2 3 3 2 2 3 3 2 0 1 1 0
    11	 0 1 1 0 2 3 3 2 3 2 2 3 1 0 0 1
    12	 0 1 1 0 2 3 3 2 4 5 5 4 6 7 7 6
    13	 0 1 2 0 2 0 0 1 1 0 0 2 0 2 1 0
    14	 0 1 2 0 2 3 3 1 1 3 3 2 0 2 1 0
    15	 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3
    16	 0 1 2 3 1 4 5 2 2 5 4 1 3 2 1 0
    17	 0 1 2 3 1 4 5 6 2 5 7 8 3 6 8 9
    18	 0 1 2 3 3 2 1 0 3 2 1 0 0 1 2 3
    19	 0 1 2 3 4 5 6 2 7 8 5 1 9 7 4 0
    20	 0 1 2 3 4 5 6 7 4 5 6 7 0 1 2 3
    21	 0 1 2 3 4 5 6 7 7 6 5 4 3 2 1 0
    22	 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15