0 : 0:{}:{}

 1 : 0:{1}:{(1,1)}
     1:{2}:{(0,1),(2,1)}
     2:{3}:{(1,1),(3,1)}
     3:{4}:{(2,1),(4,1)}
     4:{5}:{(3,1)}

 2 : 0:{2}:{(1,1),(2,1)}
     1:{1}:{(0,1)}
     2:{3}:{(0,1),(3,1)}
     3:{4}:{(2,1),(4,1)}
     4:{5}:{(3,1)}

 3 : 0:{3}:{(1,1),(2,1)}
     1:{2}:{(0,1),(3,1)}
     2:{4}:{(0,1),(4,1)}
     3:{1}:{(1,1)}
     4:{5}:{(2,1)}

 4 : 0:{4}:{(1,1),(2,1)}
     1:{3}:{(0,1),(3,1)}
     2:{5}:{(0,1)}
     3:{2}:{(1,1),(4,1)}
     4:{1}:{(3,1)}

 5 : 0:{5}:{(1,1)}
     1:{4}:{(0,1),(2,1)}
     2:{3}:{(1,1),(3,1)}
     3:{2}:{(2,1),(4,1)}
     4:{1}:{(3,1)}

 6 : 0:{1,3}:{(1,1),(2,1),(5,1)}
     1:{2}:{(0,1)}
     2:{1,4}:{(0,1),(3,1),(4,1)}
     3:{2,4}:{(1,1),(2,1),(5,1),(6,1),(8,1)}
     4:{1,5}:{(2,1),(6,1)}
     5:{3}:{(3,1)}
     6:{2,5}:{(3,1),(4,1),(7,1)}
     7:{3,5}:{(5,1),(6,1),(8,1)}
     8:{4}:{(7,1)}

 7 : 0:{1,4}:{(1,1),(2,1),(3,1)}
     1:{2,4}:{(0,1),(4,1),(5,1),(6,1),(8,1)}
     2:{1,3}:{(0,1),(4,1),(6,1)}
     3:{1,5}:{(0,1),(5,1)}
     4:{3}:{(1,1)}
     5:{2,5}:{(1,1),(3,1),(7,1)}
     6:{2}:{(2,1)}
     7:{3,5}:{(4,1),(5,1),(8,1)}
     8:{4}:{(7,1)}

 8 : 0:{1,5}:{(1,1),(2,1)}
     1:{2,5}:{(0,1),(3,1),(4,1)}
     2:{1,4}:{(0,1),(4,1),(5,1)}
     3:{3,5}:{(1,1),(6,1),(7,1)}
     4:{2,4}:{(1,1),(2,1),(6,1),(7,1),(8,1)}
     5:{1,3}:{(2,1),(7,1),(8,1)}
     6:{4}:{(3,1)}
     7:{3}:{(4,1)}
     8:{2}:{(5,1)}

 9 : 0:{2,4}:{(1,1),(2,1),(3,1),(7,1),(8,1)}
     1:{1,4}:{(0,1),(4,1),(5,1)}
     2:{3}:{(0,1)}
     3:{2,5}:{(0,1),(5,1),(6,1)}
     4:{1,3}:{(1,1),(2,1),(7,1)}
     5:{1,5}:{(1,1),(3,1)}
     6:{3,5}:{(2,1),(3,1),(8,1)}
     7:{2}:{(4,1)}
     8:{4}:{(6,1)}

10 : 0:{2,5}:{(1,1),(2,1),(3,1)}
     1:{1,5}:{(0,1),(4,1)}
     2:{3,5}:{(0,1),(5,1),(6,1)}
     3:{2,4}:{(0,1),(4,1),(5,1),(6,1),(8,1)}
     4:{1,4}:{(1,1),(3,1),(7,1)}
     5:{4}:{(2,1)}
     6:{3}:{(3,1)}
     7:{1,3}:{(4,1),(6,1),(8,1)}
     8:{2}:{(7,1)}

11 : 0:{3,5}:{(1,1),(2,1),(6,1)}
     1:{2,5}:{(0,1),(3,1),(4,1)}
     2:{4}:{(0,1)}
     3:{1,5}:{(1,1),(5,1)}
     4:{2,4}:{(1,1),(2,1),(5,1),(6,1),(8,1)}
     5:{1,4}:{(3,1),(4,1),(7,1)}
     6:{3}:{(4,1)}
     7:{1,3}:{(5,1),(6,1),(8,1)}
     8:{2}:{(7,1)}

12 : 0:{1,2}:{(1,1)}
     1:{1,3}:{(0,1),(2,1),(3,1)}
     2:{2,3}:{(1,1),(4,1)}
     3:{1,4}:{(1,1),(4,1),(5,1)}
     4:{2,4}:{(2,1),(3,1),(6,1),(7,1)}
     5:{1,5}:{(3,1),(7,1)}
     6:{3,4}:{(4,1),(8,1)}
     7:{2,5}:{(4,1),(5,1),(8,1)}
     8:{3,5}:{(6,1),(7,1),(9,1)}
     9:{4,5}:{(8,1)}

13 : 0:{1,3,5}:{(1,1),(2,1),(4,1)}
     1:{2,5}:{(0,1),(3,1)}
     2:{1,4}:{(0,1),(3,1)}
     3:{2,4}:{(1,1),(2,1),(4,1)}
     4:{3}:{(3,1)}

14 : 0:{1,3}:{(1,1),(2,1),(5,1)}
     1:{2}:{(0,1)}
     2:{1,4}:{(0,1),(3,1),(4,1)}
     3:{2,4}:{(1,1),(2,1),(5,1),(6,1),(8,1)}
     4:{1,5}:{(2,1),(6,1)}
     5:{3}:{(3,1)}
     6:{2,5}:{(3,1),(4,1),(7,1)}
     7:{3,5}:{(5,1),(6,1),(8,1)}
     8:{4}:{(7,1)}

15 : 0:{2,3}:{(1,1),(2,1)}
     1:{1,3}:{(0,1),(3,1),(4,1)}
     2:{2,4}:{(0,1),(4,1),(5,1),(6,1)}
     3:{1,2}:{(1,1)}
     4:{1,4}:{(1,1),(2,1),(7,1)}
     5:{3,4}:{(2,1),(8,1)}
     6:{2,5}:{(2,1),(7,1),(8,1)}
     7:{1,5}:{(4,1),(6,1)}
     8:{3,5}:{(5,1),(6,1),(9,1)}
     9:{4,5}:{(8,1)}

16 : 0:{2,4}:{(1,1),(2,1),(3,1),(7,1),(8,1)}
     1:{1,4}:{(0,1),(4,1),(5,1)}
     2:{3}:{(0,1)}
     3:{2,5}:{(0,1),(5,1),(6,1)}
     4:{1,3}:{(1,1),(2,1),(7,1)}
     5:{1,5}:{(1,1),(3,1)}
     6:{3,5}:{(2,1),(3,1),(8,1)}
     7:{2}:{(4,1)}
     8:{4}:{(6,1)}

17 : 0:{3,4}:{(1,1),(2,1)}
     1:{2,4}:{(0,1),(3,1),(4,1),(5,1)}
     2:{3,5}:{(0,1),(5,1),(6,1)}
     3:{2,3}:{(1,1),(7,1)}
     4:{1,4}:{(1,1),(7,1),(8,1)}
     5:{2,5}:{(1,1),(2,1),(8,1)}
     6:{4,5}:{(2,1)}
     7:{1,3}:{(3,1),(4,1),(9,1)}
     8:{1,5}:{(4,1),(5,1)}
     9:{1,2}:{(7,1)}

18 : 0:{3,5}:{(1,1),(2,1),(6,1)}
     1:{2,5}:{(0,1),(3,1),(4,1)}
     2:{4}:{(0,1)}
     3:{1,5}:{(1,1),(5,1)}
     4:{2,4}:{(1,1),(2,1),(5,1),(6,1),(8,1)}
     5:{1,4}:{(3,1),(4,1),(7,1)}
     6:{3}:{(4,1)}
     7:{1,3}:{(5,1),(6,1),(8,1)}
     8:{2}:{(7,1)}

19 : 0:{4,5}:{(1,1)}
     1:{3,5}:{(0,1),(2,1),(3,1)}
     2:{3,4}:{(1,1),(4,1)}
     3:{2,5}:{(1,1),(4,1),(5,1)}
     4:{2,4}:{(2,1),(3,1),(6,1),(7,1)}
     5:{1,5}:{(3,1),(7,1)}
     6:{2,3}:{(4,1),(8,1)}
     7:{1,4}:{(4,1),(5,1),(8,1)}
     8:{1,3}:{(6,1),(7,1),(9,1)}
     9:{1,2}:{(8,1)}

20 :  0:{1,2,4}:{(1,1),(2,1),(6,1),(9,1)}
      1:{1,3}:{(0,1),(4,1)}
      2:{1,2,5}:{(0,1),(5,1),(10,1)}
      3:{1,3,4}:{(1,1),(6,1),(7,1),(9,1),(14,1)}
      4:{2,3}:{(1,1),(6,1)}
      5:{1,3,5}:{(1,1),(2,1),(8,1),(9,1)}
      6:{2,4}:{(3,1),(4,1),(10,1)}
      7:{1,3,5}:{(3,1),(10,1),(11,1),(15,1)}
      8:{2,3,5}:{(4,1),(5,1),(10,1),(12,1),(15,1)}
      9:{1,4}:{(5,1),(12,1)}
     10:{2,5}:{(6,1),(7,1)}
     11:{1,4,5}:{(7,1),(9,1),(13,1)}
     12:{2,4}:{(8,1),(9,1),(14,1)}
     13:{2,4,5}:{(10,1),(11,1),(12,1),(15,1)}
     14:{3,4}:{(12,1),(15,1)}
     15:{3,5}:{(13,1),(14,1)}

21 :  0:{1,2,5}:{(1,1),(2,1),(15,1)}
      1:{1,3,5}:{(0,1),(3,1),(4,1),(5,1)}
      2:{1,2,4}:{(0,1),(4,1),(5,1),(13,1)}
      3:{2,3,5}:{(1,1),(6,1),(9,1),(14,1),(15,1)}
      4:{1,4}:{(1,1),(6,1)}
      5:{1,3}:{(2,1),(9,1)}
      6:{2,4}:{(3,1),(4,1),(11,1)}
      7:{1,4,5}:{(4,1),(10,1),(12,1)}
      8:{1,3,4}:{(4,1),(5,1),(11,1),(12,1),(13,1)}
      9:{2,3}:{(5,1),(13,1)}
     10:{2,4,5}:{(6,1),(7,1),(14,1),(15,1)}
     11:{3,4}:{(6,1),(14,1)}
     12:{1,3,5}:{(7,1),(8,1),(14,1),(15,1)}
     13:{2,4}:{(8,1),(9,1),(15,1)}
     14:{3,5}:{(10,1),(11,1)}
     15:{2,5}:{(12,1),(13,1)}

22 : 0:{2,3}:{(2,1),(3,1)}
     1:{1,2}:{(2,1)}
     2:{1,3}:{(0,1),(1,1),(4,1)}
     3:{2,4}:{(0,1),(4,1),(5,1),(6,1)}
     4:{1,4}:{(2,1),(3,1),(7,1)}
     5:{3,4}:{(3,1),(8,1)}
     6:{2,5}:{(3,1),(7,1),(8,1)}
     7:{1,5}:{(4,1),(6,1)}
     8:{3,5}:{(5,1),(6,1),(9,1)}
     9:{4,5}:{(8,1)}

23 :  0:{1,3,4}:{(1,1),(2,1),(7,1),(14,1),(15,1)}
      1:{2,4}:{(0,1),(3,1),(5,1)}
      2:{1,3,5}:{(0,1),(5,1),(6,1),(13,1)}
      3:{2,3}:{(1,1),(7,1)}
      4:{1,2,4}:{(1,1),(7,1),(9,1),(14,1)}
      5:{2,5}:{(1,1),(2,1)}
      6:{1,4,5}:{(2,1),(10,1),(14,1)}
      7:{1,3}:{(3,1),(4,1)}
      8:{2,3,5}:{(3,1),(5,1),(11,1),(12,1),(13,1)}
      9:{1,2,5}:{(4,1),(5,1),(11,1)}
     10:{2,4,5}:{(5,1),(6,1),(12,1),(13,1)}
     11:{1,3,5}:{(7,1),(8,1),(9,1),(14,1)}
     12:{2,4}:{(8,1),(14,1),(15,1)}
     13:{3,5}:{(10,1),(15,1)}
     14:{1,4}:{(11,1),(12,1)}
     15:{3,4}:{(12,1),(13,1)}

24 : 0:{1,3,5}:{(1,1),(2,1),(4,1)}
     1:{2,5}:{(0,1),(3,1)}
     2:{1,4}:{(0,1),(3,1)}
     3:{2,4}:{(1,1),(2,1),(4,1)}
     4:{3}:{(3,1)}

25 :  0:{1,4,5}:{(1,1),(2,1),(14,1)}
      1:{2,4,5}:{(0,1),(3,1),(5,1),(10,1)}
      2:{1,3,5}:{(0,1),(3,1),(4,1),(5,1)}
      3:{3,5}:{(1,1),(6,1)}
      4:{1,3,4}:{(2,1),(6,1),(8,1),(14,1),(15,1)}
      5:{2,5}:{(2,1),(8,1)}
      6:{3,4}:{(3,1),(10,1)}
      7:{2,3,5}:{(3,1),(5,1),(10,1),(11,1),(12,1)}
      8:{2,4}:{(4,1),(5,1),(12,1)}
      9:{1,2,5}:{(5,1),(11,1),(13,1)}
     10:{2,4}:{(6,1),(7,1),(14,1)}
     11:{1,3,5}:{(7,1),(9,1),(14,1),(15,1)}
     12:{2,3}:{(8,1),(15,1)}
     13:{1,2,4}:{(8,1),(9,1),(14,1),(15,1)}
     14:{1,4}:{(10,1),(11,1)}
     15:{1,3}:{(12,1),(13,1)}

26 : 0:{1,3,5}:{(1,1),(2,1),(4,1)}
     1:{2,5}:{(0,1),(3,1)}
     2:{1,4}:{(0,1),(3,1)}
     3:{2,4}:{(1,1),(2,1),(4,1)}
     4:{3}:{(3,1)}

27 :  0:{2,3,5}:{(1,1),(2,1),(10,1),(14,1),(15,1)}
      1:{1,3,5}:{(0,1),(3,1),(4,1),(11,1)}
      2:{2,4}:{(0,1),(4,1),(6,1)}
      3:{1,2,5}:{(1,1),(7,1),(15,1)}
      4:{1,4}:{(1,1),(2,1)}
      5:{2,4,5}:{(2,1),(8,1),(10,1),(15,1)}
      6:{3,4}:{(2,1),(10,1)}
      7:{1,2,4}:{(3,1),(4,1),(11,1),(13,1)}
      8:{1,4,5}:{(4,1),(5,1),(12,1)}
      9:{1,3,4}:{(4,1),(6,1),(11,1),(12,1),(13,1)}
     10:{3,5}:{(5,1),(6,1)}
     11:{1,3}:{(7,1),(14,1)}
     12:{1,3,5}:{(8,1),(9,1),(10,1),(15,1)}
     13:{2,4}:{(9,1),(14,1),(15,1)}
     14:{2,3}:{(11,1),(13,1)}
     15:{2,5}:{(12,1),(13,1)}

28 : 0:{3,4}:{(2,1),(3,1)}
     1:{2,3}:{(2,1),(4,1)}
     2:{2,4}:{(0,1),(1,1),(6,1),(7,1)}
     3:{3,5}:{(0,1),(7,1),(8,1)}
     4:{1,3}:{(1,1),(5,1),(6,1)}
     5:{1,2}:{(4,1)}
     6:{1,4}:{(2,1),(4,1),(9,1)}
     7:{2,5}:{(2,1),(3,1),(9,1)}
     8:{4,5}:{(3,1)}
     9:{1,5}:{(6,1),(7,1)}

29 :  0:{2,4,5}:{(1,1),(2,1),(7,1),(8,1)}
      1:{1,4,5}:{(0,1),(3,1),(12,1)}
      2:{3,5}:{(0,1),(4,1)}
      3:{1,3,5}:{(1,1),(2,1),(6,1),(7,1)}
      4:{3,4}:{(2,1),(8,1)}
      5:{2,3,5}:{(2,1),(7,1),(8,1),(9,1),(13,1)}
      6:{1,3,4}:{(3,1),(4,1),(10,1),(12,1),(15,1)}
      7:{2,5}:{(3,1),(10,1)}
      8:{2,4}:{(4,1),(5,1),(12,1)}
      9:{1,3,5}:{(5,1),(11,1),(12,1),(15,1)}
     10:{2,4}:{(6,1),(7,1),(13,1)}
     11:{1,2,5}:{(7,1),(9,1),(14,1)}
     12:{1,4}:{(8,1),(9,1)}
     13:{2,3}:{(10,1),(15,1)}
     14:{1,2,4}:{(10,1),(11,1),(12,1),(15,1)}
     15:{1,3}:{(13,1),(14,1)}

30 : 0:{4,5}:{(2,1)}
     1:{3,4}:{(2,1),(3,1)}
     2:{3,5}:{(0,1),(1,1),(5,1)}
     3:{2,4}:{(1,1),(4,1),(5,1),(6,1)}
     4:{2,3}:{(3,1),(7,1)}
     5:{2,5}:{(2,1),(3,1),(8,1)}
     6:{1,4}:{(3,1),(7,1),(8,1)}
     7:{1,3}:{(4,1),(6,1),(9,1)}
     8:{1,5}:{(5,1),(6,1)}
     9:{1,2}:{(7,1)}

31 :  0:{2,3,5}:{(2,1),(3,1),(11,1),(12,1),(15,1)}
      1:{1,2,5}:{(2,1),(4,1),(15,1)}
      2:{1,3,5}:{(0,1),(1,1),(5,1),(8,1)}
      3:{2,4}:{(0,1),(5,1),(7,1)}
      4:{1,2,4}:{(1,1),(5,1),(8,1),(14,1)}
      5:{1,4}:{(2,1),(3,1)}
      6:{2,4,5}:{(3,1),(9,1),(11,1),(15,1)}
      7:{3,4}:{(3,1),(11,1)}
      8:{1,3}:{(4,1),(12,1)}
      9:{1,4,5}:{(5,1),(6,1),(13,1)}
     10:{1,3,4}:{(5,1),(7,1),(8,1),(13,1),(14,1)}
     11:{3,5}:{(6,1),(7,1)}
     12:{2,3}:{(8,1),(14,1)}
     13:{1,3,5}:{(9,1),(10,1),(11,1),(15,1)}
     14:{2,4}:{(10,1),(12,1),(15,1)}
     15:{2,5}:{(13,1),(14,1)}

32 : 0:{3,4}:{(3,1),(4,1)}
     1:{2,3}:{(3,1),(5,1)}
     2:{1,2}:{(5,1)}
     3:{2,4}:{(0,1),(1,1),(6,1),(7,1)}
     4:{3,5}:{(0,1),(7,1),(8,1)}
     5:{1,3}:{(1,1),(2,1),(6,1)}
     6:{1,4}:{(3,1),(5,1),(9,1)}
     7:{2,5}:{(3,1),(4,1),(9,1)}
     8:{4,5}:{(4,1)}
     9:{1,5}:{(6,1),(7,1)}

33 :  0:{1,2,4}:{(1,1),(2,1),(6,1),(9,1)}
      1:{1,3}:{(0,1),(4,1)}
      2:{1,2,5}:{(0,1),(5,1),(10,1)}
      3:{1,3,4}:{(1,1),(6,1),(7,1),(9,1),(14,1)}
      4:{2,3}:{(1,1),(6,1)}
      5:{1,3,5}:{(1,1),(2,1),(8,1),(9,1)}
      6:{2,4}:{(3,1),(4,1),(10,1)}
      7:{1,3,5}:{(3,1),(10,1),(11,1),(15,1)}
      8:{2,3,5}:{(4,1),(5,1),(10,1),(12,1),(15,1)}
      9:{1,4}:{(5,1),(12,1)}
     10:{2,5}:{(6,1),(7,1)}
     11:{1,4,5}:{(7,1),(9,1),(13,1)}
     12:{2,4}:{(8,1),(9,1),(14,1)}
     13:{2,4,5}:{(10,1),(11,1),(12,1),(15,1)}
     14:{3,4}:{(12,1),(15,1)}
     15:{3,5}:{(13,1),(14,1)}

34 :  0:{1,4,5}:{(2,1),(3,1),(15,1)}
      1:{1,3,4}:{(3,1),(4,1),(9,1),(11,1),(15,1)}
      2:{2,4,5}:{(0,1),(5,1),(7,1),(13,1)}
      3:{1,3,5}:{(0,1),(1,1),(5,1),(7,1)}
      4:{2,4}:{(1,1),(6,1),(7,1)}
      5:{3,5}:{(2,1),(9,1)}
      6:{2,3}:{(4,1),(11,1)}
      7:{2,5}:{(3,1),(4,1)}
      8:{1,2,4}:{(4,1),(11,1),(12,1),(15,1)}
      9:{3,4}:{(5,1),(13,1)}
     10:{2,3,5}:{(5,1),(6,1),(7,1),(13,1),(14,1)}
     11:{1,3}:{(6,1),(8,1)}
     12:{1,2,5}:{(7,1),(8,1),(14,1)}
     13:{2,4}:{(9,1),(10,1),(15,1)}
     14:{1,3,5}:{(10,1),(11,1),(12,1),(15,1)}
     15:{1,4}:{(13,1),(14,1)}

35 :  0:{1,3,4}:{(1,1),(2,1),(7,1),(14,1),(15,1)}
      1:{2,4}:{(0,1),(3,1),(5,1)}
      2:{1,3,5}:{(0,1),(5,1),(6,1),(13,1)}
      3:{2,3}:{(1,1),(7,1)}
      4:{1,2,4}:{(1,1),(7,1),(9,1),(14,1)}
      5:{2,5}:{(1,1),(2,1)}
      6:{1,4,5}:{(2,1),(10,1),(14,1)}
      7:{1,3}:{(3,1),(4,1)}
      8:{2,3,5}:{(3,1),(5,1),(11,1),(12,1),(13,1)}
      9:{1,2,5}:{(4,1),(5,1),(11,1)}
     10:{2,4,5}:{(5,1),(6,1),(12,1),(13,1)}
     11:{1,3,5}:{(7,1),(8,1),(9,1),(14,1)}
     12:{2,4}:{(8,1),(14,1),(15,1)}
     13:{3,5}:{(10,1),(15,1)}
     14:{1,4}:{(11,1),(12,1)}
     15:{3,4}:{(12,1),(13,1)}

36 : 0:{1,3,5}:{(1,1),(2,1),(4,1)}
     1:{2,5}:{(0,1),(3,1)}
     2:{1,4}:{(0,1),(3,1)}
     3:{2,4}:{(1,1),(2,1),(4,1)}
     4:{3}:{(3,1)}

37 : 0:{4,5}:{(3,1)}
     1:{3,4}:{(3,1),(4,1)}
     2:{2,3}:{(4,1),(5,1)}
     3:{3,5}:{(0,1),(1,1),(7,1)}
     4:{2,4}:{(1,1),(2,1),(7,1),(8,1)}
     5:{1,3}:{(2,1),(6,1),(8,1)}
     6:{1,2}:{(5,1)}
     7:{2,5}:{(3,1),(4,1),(9,1)}
     8:{1,4}:{(4,1),(5,1),(9,1)}
     9:{1,5}:{(7,1),(8,1)}

38 :  0:{2,3,5}:{(1,1),(2,1),(9,1),(14,1),(15,1)}
      1:{1,3,5}:{(0,1),(3,1),(5,1),(11,1)}
      2:{2,4}:{(0,1),(5,1),(6,1)}
      3:{1,2,5}:{(1,1),(7,1),(15,1)}
      4:{2,4,5}:{(2,1),(8,1),(9,1),(15,1)}
      5:{1,4}:{(1,1),(2,1)}
      6:{3,4}:{(2,1),(9,1)}
      7:{1,2,4}:{(3,1),(5,1),(11,1),(13,1)}
      8:{1,4,5}:{(4,1),(5,1),(12,1)}
      9:{3,5}:{(4,1),(6,1)}
     10:{1,3,4}:{(5,1),(6,1),(11,1),(12,1),(13,1)}
     11:{1,3}:{(7,1),(14,1)}
     12:{1,3,5}:{(8,1),(9,1),(10,1),(15,1)}
     13:{2,4}:{(10,1),(14,1),(15,1)}
     14:{2,3}:{(11,1),(13,1)}
     15:{2,5}:{(12,1),(13,1)}

39 :  0:{2,4,5}:{(1,1),(2,1),(7,1),(8,1)}
      1:{1,4,5}:{(0,1),(3,1),(12,1)}
      2:{3,5}:{(0,1),(4,1)}
      3:{1,3,5}:{(1,1),(2,1),(6,1),(7,1)}
      4:{3,4}:{(2,1),(8,1)}
      5:{2,3,5}:{(2,1),(7,1),(8,1),(9,1),(13,1)}
      6:{1,3,4}:{(3,1),(4,1),(10,1),(12,1),(15,1)}
      7:{2,5}:{(3,1),(10,1)}
      8:{2,4}:{(4,1),(5,1),(12,1)}
      9:{1,3,5}:{(5,1),(11,1),(12,1),(15,1)}
     10:{2,4}:{(6,1),(7,1),(13,1)}
     11:{1,2,5}:{(7,1),(9,1),(14,1)}
     12:{1,4}:{(8,1),(9,1)}
     13:{2,3}:{(10,1),(15,1)}
     14:{1,2,4}:{(10,1),(11,1),(12,1),(15,1)}
     15:{1,3}:{(13,1),(14,1)}

40 : 0:{1,2,3}:{(1,1)}
     1:{1,2,4}:{(0,1),(2,1),(3,1)}
     2:{1,3,4}:{(1,1),(4,1),(5,1)}
     3:{1,2,5}:{(1,1),(5,1)}
     4:{2,3,4}:{(2,1),(6,1)}
     5:{1,3,5}:{(2,1),(3,1),(6,1),(7,1)}
     6:{2,3,5}:{(4,1),(5,1),(8,1)}
     7:{1,4,5}:{(5,1),(8,1)}
     8:{2,4,5}:{(6,1),(7,1),(9,1)}
     9:{3,4,5}:{(8,1)}

41 : 0:{1,2,4,5}:{(1,1),(4,1)}
     1:{1,3,5}:{(0,1),(2,1),(3,1)}
     2:{1,3,4}:{(1,1),(4,1)}
     3:{2,3,5}:{(1,1),(4,1)}
     4:{2,4}:{(2,1),(3,1)}

42 : 0:{4,5}:{(4,1)}
     1:{3,4}:{(4,1),(5,1)}
     2:{2,3}:{(5,1),(6,1)}
     3:{1,2}:{(6,1)}
     4:{3,5}:{(0,1),(1,1),(7,1)}
     5:{2,4}:{(1,1),(2,1),(7,1),(8,1)}
     6:{1,3}:{(2,1),(3,1),(8,1)}
     7:{2,5}:{(4,1),(5,1),(9,1)}
     8:{1,4}:{(5,1),(6,1),(9,1)}
     9:{1,5}:{(7,1),(8,1)}

43 :  0:{2,3,5}:{(2,1),(3,1),(10,1),(12,1),(15,1)}
      1:{1,2,5}:{(2,1),(4,1),(15,1)}
      2:{1,3,5}:{(0,1),(1,1),(6,1),(8,1)}
      3:{2,4}:{(0,1),(6,1),(7,1)}
      4:{1,2,4}:{(1,1),(6,1),(8,1),(14,1)}
      5:{2,4,5}:{(3,1),(9,1),(10,1),(15,1)}
      6:{1,4}:{(2,1),(3,1)}
      7:{3,4}:{(3,1),(10,1)}
      8:{1,3}:{(4,1),(12,1)}
      9:{1,4,5}:{(5,1),(6,1),(13,1)}
     10:{3,5}:{(5,1),(7,1)}
     11:{1,3,4}:{(6,1),(7,1),(8,1),(13,1),(14,1)}
     12:{2,3}:{(8,1),(14,1)}
     13:{1,3,5}:{(9,1),(10,1),(11,1),(15,1)}
     14:{2,4}:{(11,1),(12,1),(15,1)}
     15:{2,5}:{(13,1),(14,1)}

44 :  0:{1,2,4}:{(2,1),(3,1),(4,1),(11,1)}
      1:{1,3,4}:{(2,1),(4,1),(5,1),(11,1),(15,1)}
      2:{1,3}:{(0,1),(6,1)}
      3:{1,2,5}:{(0,1),(7,1),(8,1)}
      4:{2,4}:{(1,1),(6,1),(8,1)}
      5:{1,3,5}:{(1,1),(8,1),(9,1),(14,1)}
      6:{2,3}:{(2,1),(4,1)}
      7:{1,3,5}:{(2,1),(3,1),(10,1),(11,1)}
      8:{2,5}:{(4,1),(5,1)}
      9:{1,4,5}:{(5,1),(11,1),(12,1)}
     10:{2,3,5}:{(6,1),(7,1),(8,1),(13,1),(14,1)}
     11:{1,4}:{(7,1),(13,1)}
     12:{2,4,5}:{(8,1),(9,1),(13,1),(14,1)}
     13:{2,4}:{(10,1),(11,1),(15,1)}
     14:{3,5}:{(12,1),(15,1)}
     15:{3,4}:{(13,1),(14,1)}

45 :  0:{1,4,5}:{(2,1),(3,1),(15,1)}
      1:{1,3,4}:{(3,1),(4,1),(9,1),(11,1),(15,1)}
      2:{2,4,5}:{(0,1),(5,1),(7,1),(13,1)}
      3:{1,3,5}:{(0,1),(1,1),(5,1),(7,1)}
      4:{2,4}:{(1,1),(6,1),(7,1)}
      5:{3,5}:{(2,1),(9,1)}
      6:{2,3}:{(4,1),(11,1)}
      7:{2,5}:{(3,1),(4,1)}
      8:{1,2,4}:{(4,1),(11,1),(12,1),(15,1)}
      9:{3,4}:{(5,1),(13,1)}
     10:{2,3,5}:{(5,1),(6,1),(7,1),(13,1),(14,1)}
     11:{1,3}:{(6,1),(8,1)}
     12:{1,2,5}:{(7,1),(8,1),(14,1)}
     13:{2,4}:{(9,1),(10,1),(15,1)}
     14:{1,3,5}:{(10,1),(11,1),(12,1),(15,1)}
     15:{1,4}:{(13,1),(14,1)}

46 : 0:{2,3,4}:{(1,1),(2,1)}
     1:{1,3,4}:{(0,1),(3,1),(4,1)}
     2:{2,3,5}:{(0,1),(4,1),(5,1)}
     3:{1,2,4}:{(1,1),(6,1),(7,1)}
     4:{1,3,5}:{(1,1),(2,1),(7,1),(8,1)}
     5:{2,4,5}:{(2,1),(8,1),(9,1)}
     6:{1,2,3}:{(3,1)}
     7:{1,2,5}:{(3,1),(4,1)}
     8:{1,4,5}:{(4,1),(5,1)}
     9:{3,4,5}:{(5,1)}

47 : 0:{1,3,5}:{(1,1),(2,1),(4,1)}
     1:{2,5}:{(0,1),(3,1)}
     2:{1,4}:{(0,1),(3,1)}
     3:{2,4}:{(1,1),(2,1),(4,1)}
     4:{3}:{(3,1)}

48 :  0:{2,3,5}:{(2,1),(3,1),(5,1),(12,1),(15,1)}
      1:{2,4,5}:{(3,1),(4,1),(5,1),(12,1)}
      2:{1,3,5}:{(0,1),(6,1),(7,1),(13,1)}
      3:{2,4}:{(0,1),(7,1),(8,1)}
      4:{1,4,5}:{(1,1),(7,1),(9,1)}
      5:{3,5}:{(1,1),(8,1)}
      6:{1,2,5}:{(2,1),(10,1),(12,1)}
      7:{1,4}:{(2,1),(3,1)}
      8:{3,4}:{(3,1),(5,1)}
      9:{1,3,5}:{(4,1),(5,1),(11,1),(12,1)}
     10:{1,2,4}:{(6,1),(7,1),(13,1),(14,1)}
     11:{1,3,4}:{(7,1),(8,1),(9,1),(13,1),(14,1)}
     12:{2,5}:{(9,1),(14,1)}
     13:{1,3}:{(10,1),(15,1)}
     14:{2,4}:{(11,1),(12,1),(15,1)}
     15:{2,3}:{(13,1),(14,1)}

49 : 0:{3,4,5}:{(1,1)}
     1:{2,4,5}:{(0,1),(2,1),(3,1)}
     2:{2,3,5}:{(1,1),(4,1),(5,1)}
     3:{1,4,5}:{(1,1),(5,1)}
     4:{2,3,4}:{(2,1),(6,1)}
     5:{1,3,5}:{(2,1),(3,1),(6,1),(7,1)}
     6:{1,3,4}:{(4,1),(5,1),(8,1)}
     7:{1,2,5}:{(5,1),(8,1)}
     8:{1,2,4}:{(6,1),(7,1),(9,1)}
     9:{1,2,3}:{(8,1)}

50 : 0:{1,2,3,5}:{(1,1),(4,1)}
     1:{1,2,4}:{(0,1),(3,1)}
     2:{1,2,4,5}:{(1,1),(4,1),(8,1)}
     3:{1,3,4}:{(1,1),(4,1),(5,1)}
     4:{1,3,5}:{(2,1),(3,1),(7,1)}
     5:{2,3,4}:{(3,1),(7,1)}
     6:{1,3,4,5}:{(4,1),(8,1)}
     7:{2,3,5}:{(4,1),(5,1),(8,1)}
     8:{2,4,5}:{(6,1),(7,1)}

51 : 0:{1,2,3}:{(2,1)}
     1:{2,3,4}:{(3,1),(4,1)}
     2:{1,2,4}:{(0,1),(3,1),(5,1)}
     3:{1,3,4}:{(1,1),(2,1),(6,1)}
     4:{2,3,5}:{(1,1),(6,1),(7,1)}
     5:{1,2,5}:{(2,1),(6,1)}
     6:{1,3,5}:{(3,1),(4,1),(5,1),(8,1)}
     7:{2,4,5}:{(4,1),(8,1),(9,1)}
     8:{1,4,5}:{(6,1),(7,1)}
     9:{3,4,5}:{(7,1)}

52 : 0:{2,3,4}:{(1,1),(2,1)}
     1:{1,3,4}:{(0,1),(4,1),(5,1)}
     2:{2,3,5}:{(0,1),(5,1),(6,1)}
     3:{1,2,3}:{(4,1)}
     4:{1,2,4}:{(1,1),(3,1),(7,1)}
     5:{1,3,5}:{(1,1),(2,1),(7,1),(8,1)}
     6:{2,4,5}:{(2,1),(8,1),(9,1)}
     7:{1,2,5}:{(4,1),(5,1)}
     8:{1,4,5}:{(5,1),(6,1)}
     9:{3,4,5}:{(6,1)}

53 : 0:{1,2,4,5}:{(1,1),(4,1)}
     1:{1,3,5}:{(0,1),(2,1),(3,1)}
     2:{1,3,4}:{(1,1),(4,1)}
     3:{2,3,5}:{(1,1),(4,1)}
     4:{2,4}:{(2,1),(3,1)}

54 : 0:{1,3,4,5}:{(1,1),(5,1)}
     1:{2,4,5}:{(0,1),(2,1)}
     2:{2,3,5}:{(1,1),(4,1),(5,1)}
     3:{1,2,4,5}:{(1,1),(5,1),(8,1)}
     4:{2,3,4}:{(2,1),(6,1)}
     5:{1,3,5}:{(2,1),(3,1),(6,1)}
     6:{1,3,4}:{(4,1),(5,1),(8,1)}
     7:{1,2,3,5}:{(5,1),(8,1)}
     8:{1,2,4}:{(6,1),(7,1)}

55 : 0:{2,3,4}:{(2,1),(3,1)}
     1:{3,4,5}:{(5,1)}
     2:{2,3,5}:{(0,1),(5,1),(6,1)}
     3:{1,3,4}:{(0,1),(4,1),(6,1)}
     4:{1,2,4}:{(3,1),(7,1),(8,1)}
     5:{2,4,5}:{(1,1),(2,1),(9,1)}
     6:{1,3,5}:{(2,1),(3,1),(8,1),(9,1)}
     7:{1,2,3}:{(4,1)}
     8:{1,2,5}:{(4,1),(6,1)}
     9:{1,4,5}:{(5,1),(6,1)}

56 : 0:{3,4,5}:{(1,1)}
     1:{2,4,5}:{(0,1),(3,1),(4,1)}
     2:{2,3,4}:{(3,1),(5,1)}
     3:{2,3,5}:{(1,1),(2,1),(6,1)}
     4:{1,4,5}:{(1,1),(6,1)}
     5:{1,3,4}:{(2,1),(6,1),(7,1)}
     6:{1,3,5}:{(3,1),(4,1),(5,1),(9,1)}
     7:{1,2,4}:{(5,1),(8,1),(9,1)}
     8:{1,2,3}:{(7,1)}
     9:{1,2,5}:{(6,1),(7,1)}

57 : 0:{1,2,3,5}:{(1,1),(4,1)}
     1:{1,2,4}:{(0,1),(3,1)}
     2:{1,2,4,5}:{(1,1),(4,1),(8,1)}
     3:{1,3,4}:{(1,1),(4,1),(5,1)}
     4:{1,3,5}:{(2,1),(3,1),(7,1)}
     5:{2,3,4}:{(3,1),(7,1)}
     6:{1,3,4,5}:{(4,1),(8,1)}
     7:{2,3,5}:{(4,1),(5,1),(8,1)}
     8:{2,4,5}:{(6,1),(7,1)}

58 : 0:{1,2,3}:{(2,1)}
     1:{2,3,4}:{(4,1),(5,1)}
     2:{1,2,4}:{(0,1),(5,1),(6,1)}
     3:{3,4,5}:{(7,1)}
     4:{2,3,5}:{(1,1),(7,1),(8,1)}
     5:{1,3,4}:{(1,1),(2,1),(8,1)}
     6:{1,2,5}:{(2,1),(8,1)}
     7:{2,4,5}:{(3,1),(4,1),(9,1)}
     8:{1,3,5}:{(4,1),(5,1),(6,1),(9,1)}
     9:{1,4,5}:{(7,1),(8,1)}

59 : 0:{2,3,4}:{(2,1),(3,1)}
     1:{3,4,5}:{(6,1)}
     2:{2,3,5}:{(0,1),(6,1),(7,1)}
     3:{1,3,4}:{(0,1),(5,1),(7,1)}
     4:{1,2,3}:{(5,1)}
     5:{1,2,4}:{(3,1),(4,1),(8,1)}
     6:{2,4,5}:{(1,1),(2,1),(9,1)}
     7:{1,3,5}:{(2,1),(3,1),(8,1),(9,1)}
     8:{1,2,5}:{(5,1),(7,1)}
     9:{1,4,5}:{(6,1),(7,1)}

60 : 0:{3,4,5}:{(1,1)}
     1:{2,4,5}:{(0,1),(3,1),(4,1)}
     2:{2,3,4}:{(3,1),(5,1)}
     3:{2,3,5}:{(1,1),(2,1),(7,1)}
     4:{1,4,5}:{(1,1),(7,1)}
     5:{1,3,4}:{(2,1),(7,1),(8,1)}
     6:{1,2,3}:{(8,1)}
     7:{1,3,5}:{(3,1),(4,1),(5,1),(9,1)}
     8:{1,2,4}:{(5,1),(6,1),(9,1)}
     9:{1,2,5}:{(7,1),(8,1)}

61 : 0:{1,2,4,5}:{(1,1),(4,1)}
     1:{1,3,5}:{(0,1),(2,1),(3,1)}
     2:{1,3,4}:{(1,1),(4,1)}
     3:{2,3,5}:{(1,1),(4,1)}
     4:{2,4}:{(2,1),(3,1)}

62 : 0:{1,2,4,5}:{(1,1),(4,1)}
     1:{1,3,5}:{(0,1),(2,1),(3,1)}
     2:{1,3,4}:{(1,1),(4,1)}
     3:{2,3,5}:{(1,1),(4,1)}
     4:{2,4}:{(2,1),(3,1)}

63 : 0:{1,3,4,5}:{(1,1),(5,1)}
     1:{2,4,5}:{(0,1),(2,1)}
     2:{2,3,5}:{(1,1),(4,1),(5,1)}
     3:{1,2,4,5}:{(1,1),(5,1),(8,1)}
     4:{2,3,4}:{(2,1),(6,1)}
     5:{1,3,5}:{(2,1),(3,1),(6,1)}
     6:{1,3,4}:{(4,1),(5,1),(8,1)}
     7:{1,2,3,5}:{(5,1),(8,1)}
     8:{1,2,4}:{(6,1),(7,1)}

64 : 0:{1,3,4,5}:{(2,1),(8,1)}
     1:{1,2,3,5}:{(4,1),(8,1)}
     2:{2,4,5}:{(0,1),(5,1)}
     3:{2,3,4}:{(5,1),(7,1)}
     4:{1,2,4}:{(1,1),(7,1)}
     5:{2,3,5}:{(2,1),(3,1),(8,1)}
     6:{1,2,4,5}:{(2,1),(4,1),(8,1)}
     7:{1,3,4}:{(3,1),(4,1),(8,1)}
     8:{1,3,5}:{(5,1),(6,1),(7,1)}

65 : 0:{1,2,3,5}:{(1,1),(5,1)}
     1:{1,2,4}:{(0,1),(4,1)}
     2:{1,2,4,5}:{(1,1),(5,1),(6,1)}
     3:{1,3,4,5}:{(5,1),(6,1)}
     4:{1,3,4}:{(1,1),(5,1),(7,1)}
     5:{1,3,5}:{(2,1),(4,1),(8,1)}
     6:{2,4,5}:{(3,1),(8,1)}
     7:{2,3,4}:{(4,1),(8,1)}
     8:{2,3,5}:{(5,1),(6,1),(7,1)}

66 : 0:{1,2,4,5}:{(1,1),(4,1)}
     1:{1,3,5}:{(0,1),(2,1),(3,1)}
     2:{1,3,4}:{(1,1),(4,1)}
     3:{2,3,5}:{(1,1),(4,1)}
     4:{2,4}:{(2,1),(3,1)}

67 : 0:{1,3,4,5}:{(1,1),(7,1)}
     1:{2,4,5}:{(0,1),(3,1)}
     2:{1,2,3,5}:{(6,1),(7,1)}
     3:{2,3,5}:{(1,1),(5,1),(7,1)}
     4:{1,2,4,5}:{(1,1),(6,1),(7,1)}
     5:{2,3,4}:{(3,1),(8,1)}
     6:{1,2,4}:{(2,1),(8,1)}
     7:{1,3,5}:{(3,1),(4,1),(8,1)}
     8:{1,3,4}:{(5,1),(6,1),(7,1)}

68 : 0:{1,2,3,4}:{(1,1)}
     1:{1,2,3,5}:{(0,1),(2,1)}
     2:{1,2,4,5}:{(1,1),(3,1)}
     3:{1,3,4,5}:{(2,1),(4,1)}
     4:{2,3,4,5}:{(3,1)}

69 : 0:{1,3,4,5}:{(2,1),(8,1)}
     1:{1,2,3,5}:{(4,1),(8,1)}
     2:{2,4,5}:{(0,1),(5,1)}
     3:{2,3,4}:{(5,1),(7,1)}
     4:{1,2,4}:{(1,1),(7,1)}
     5:{2,3,5}:{(2,1),(3,1),(8,1)}
     6:{1,2,4,5}:{(2,1),(4,1),(8,1)}
     7:{1,3,4}:{(3,1),(4,1),(8,1)}
     8:{1,3,5}:{(5,1),(6,1),(7,1)}

70 : 0:{1,2,3,5}:{(3,1),(4,1)}
     1:{1,2,4,5}:{(3,1),(4,1),(5,1)}
     2:{1,3,4,5}:{(4,1),(5,1)}
     3:{1,2,4}:{(0,1),(6,1)}
     4:{1,3,5}:{(1,1),(6,1),(7,1)}
     5:{2,4,5}:{(2,1),(7,1)}
     6:{1,3,4}:{(3,1),(4,1),(8,1)}
     7:{2,3,5}:{(4,1),(5,1),(8,1)}
     8:{2,3,4}:{(6,1),(7,1)}

71 : 0:{2,3,4,5}:{(1,1)}
     1:{1,3,4,5}:{(0,1),(2,1)}
     2:{1,2,4,5}:{(1,1),(3,1)}
     3:{1,2,3,5}:{(2,1),(4,1)}
     4:{1,2,3,4}:{(3,1)}

72 : 0:{1,2,3,4}:{(1,1)}
     1:{1,2,3,5}:{(0,1),(3,1)}
     2:{2,3,4,5}:{(4,1)}
     3:{1,2,4,5}:{(1,1),(4,1)}
     4:{1,3,4,5}:{(2,1),(3,1)}

73 : 0:{2,3,4,5}:{(1,1)}
     1:{1,3,4,5}:{(0,1),(2,1)}
     2:{1,2,4,5}:{(1,1),(4,1)}
     3:{1,2,3,4}:{(4,1)}
     4:{1,2,3,5}:{(2,1),(3,1)}

74 : 0:{2,3,4,5}:{(2,1)}
     1:{1,2,3,4}:{(3,1)}
     2:{1,3,4,5}:{(0,1),(4,1)}
     3:{1,2,3,5}:{(1,1),(4,1)}
     4:{1,2,4,5}:{(2,1),(3,1)}

75 : 0:{1,2,3,4,5}:{}