0 : 0:{}:{}

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

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

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

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

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

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

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

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

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

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

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

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

13 : 0:{1,3}:{(1,1),(2,1),(6,1)}
     1:{2}:{(0,1),(3,1)}
     2:{1,4}:{(0,1),(4,1),(9,1)}
     3:{1}:{(1,1)}
     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),(9,1)}
     9:{1}:{(8,1)}

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

15 : 0:{1,3,4}:{(1,1),(4,1)}
     1:{2,4}:{(0,1),(2,1),(3,1),(5,1)}
     2:{2,3}:{(1,1),(4,1)}
     3:{1,4}:{(1,1),(4,1)}
     4:{1,3}:{(2,1),(3,1),(5,1)}
     5:{2}:{(4,1)}

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

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

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

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

20 : 0:{2,3}:{(1,1),(2,1)}
     1:{1,3}:{(0,1),(3,1),(4,1),(7,1)}
     2:{2,4}:{(0,1),(4,1),(5,1)}
     3:{2}:{(1,1)}
     4:{1,4}:{(1,1),(2,1),(6,1)}
     5:{3,4}:{(2,1)}
     6:{2,4}:{(3,1),(4,1),(7,1)}
     7:{3}:{(6,1)}

21 : 0:{1,3,4}:{(1,1),(4,1)}
     1:{2,4}:{(0,1),(2,1),(3,1),(5,1)}
     2:{2,3}:{(1,1),(4,1)}
     3:{1,4}:{(1,1),(4,1)}
     4:{1,3}:{(2,1),(3,1),(5,1)}
     5:{2}:{(4,1)}

22 : 0:{1,3,4}:{(1,1),(4,1)}
     1:{2,4}:{(0,1),(2,1),(3,1),(5,1)}
     2:{2,3}:{(1,1),(4,1)}
     3:{1,4}:{(1,1),(4,1)}
     4:{1,3}:{(2,1),(3,1),(5,1)}
     5:{2}:{(4,1)}

23 : 0:{1,2,4}:{(1,1),(4,1)}
     1:{1,3}:{(0,1),(3,1)}
     2:{1,3,4}:{(1,1),(4,1)}
     3:{2,3}:{(1,1),(4,1),(5,1)}
     4:{2,4}:{(2,1),(3,1),(6,1)}
     5:{1,3}:{(3,1),(6,1),(7,1)}
     6:{1,4}:{(4,1),(5,1)}
     7:{1,2}:{(5,1)}

24 : 0:{1,2}:{(1,1)}
     1:{1,3}:{(0,1),(3,1),(4,1)}
     2:{1,2}:{(5,1)}
     3:{2,3}:{(1,1),(5,1),(6,1)}
     4:{1,4}:{(1,1),(6,1)}
     5:{1,3}:{(2,1),(3,1),(7,1)}
     6:{2,4}:{(3,1),(4,1),(7,1),(8,1)}
     7:{1,4}:{(5,1),(6,1)}
     8:{3,4}:{(6,1)}

25 : 0:{3,4}:{(2,1)}
     1:{2,3}:{(2,1),(3,1)}
     2:{2,4}:{(0,1),(1,1),(4,1)}
     3:{1,3}:{(1,1),(4,1),(5,1),(7,1)}
     4:{1,4}:{(2,1),(3,1),(6,1)}
     5:{2}:{(3,1)}
     6:{2,4}:{(4,1),(5,1),(7,1)}
     7:{3}:{(6,1)}

26 : 0:{1,2}:{(2,1)}
     1:{2,3}:{(2,1),(3,1)}
     2:{1,3}:{(0,1),(1,1),(4,1),(5,1)}
     3:{2,4}:{(1,1),(5,1),(6,1)}
     4:{2,3}:{(2,1),(7,1)}
     5:{1,4}:{(2,1),(3,1),(7,1)}
     6:{3,4}:{(3,1)}
     7:{2,4}:{(4,1),(5,1),(8,1)}
     8:{3,4}:{(7,1)}

27 : 0:{1,3,4}:{(1,1),(4,1)}
     1:{2,4}:{(0,1),(2,1),(3,1),(5,1)}
     2:{2,3}:{(1,1),(4,1)}
     3:{1,4}:{(1,1),(4,1)}
     4:{1,3}:{(2,1),(3,1),(5,1)}
     5:{2}:{(4,1)}

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

29 : 0:{1,3,4}:{(1,1),(4,1)}
     1:{2,4}:{(0,1),(2,1),(3,1),(5,1)}
     2:{2,3}:{(1,1),(4,1)}
     3:{1,4}:{(1,1),(4,1)}
     4:{1,3}:{(2,1),(3,1),(5,1)}
     5:{2}:{(4,1)}

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

31 : 0:{1,2,4}:{(1,1),(6,1)}
     1:{1,3}:{(0,1),(3,1)}
     2:{1,2}:{(5,1)}
     3:{2,3}:{(1,1),(5,1),(6,1)}
     4:{1,3,4}:{(1,1),(6,1)}
     5:{1,3}:{(2,1),(3,1),(7,1)}
     6:{2,4}:{(3,1),(4,1),(7,1)}
     7:{1,4}:{(5,1),(6,1)}

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

33 : 0:{1,2}:{(2,1)}
     1:{2,3}:{(2,1),(3,1)}
     2:{1,3}:{(0,1),(1,1),(4,1),(5,1)}
     3:{2,4}:{(1,1),(5,1),(6,1)}
     4:{2,3}:{(2,1),(7,1)}
     5:{1,4}:{(2,1),(3,1),(7,1)}
     6:{3,4}:{(3,1)}
     7:{2,4}:{(4,1),(5,1),(8,1)}
     8:{3,4}:{(7,1)}

34 : 0:{3,4}:{(2,1)}
     1:{2,3}:{(2,1),(3,1)}
     2:{2,4}:{(0,1),(1,1),(4,1)}
     3:{1,3}:{(1,1),(4,1),(5,1),(7,1)}
     4:{1,4}:{(2,1),(3,1),(6,1)}
     5:{2}:{(3,1)}
     6:{2,4}:{(4,1),(5,1),(7,1)}
     7:{3}:{(6,1)}

35 : 0:{1,2,4}:{(1,1),(4,1)}
     1:{1,3}:{(0,1),(3,1)}
     2:{1,3,4}:{(1,1),(4,1)}
     3:{2,3}:{(1,1),(4,1),(5,1)}
     4:{2,4}:{(2,1),(3,1),(6,1)}
     5:{1,3}:{(3,1),(6,1),(7,1)}
     6:{1,4}:{(4,1),(5,1)}
     7:{1,2}:{(5,1)}

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

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

38 : 0:{1,2,4}:{(1,1),(6,1)}
     1:{1,3}:{(0,1),(3,1)}
     2:{1,2}:{(5,1)}
     3:{2,3}:{(1,1),(5,1),(6,1)}
     4:{1,3,4}:{(1,1),(6,1)}
     5:{1,3}:{(2,1),(3,1),(7,1)}
     6:{2,4}:{(3,1),(4,1),(7,1)}
     7:{1,4}:{(5,1),(6,1)}

39 : 0:{1,2}:{(3,1)}
     1:{2,3}:{(3,1),(4,1)}
     2:{3,4}:{(4,1)}
     3:{1,3}:{(0,1),(1,1),(5,1),(6,1)}
     4:{2,4}:{(1,1),(2,1),(6,1)}
     5:{2,3}:{(3,1),(7,1)}
     6:{1,4}:{(3,1),(4,1),(7,1)}
     7:{2,4}:{(5,1),(6,1),(8,1)}
     8:{3,4}:{(7,1)}

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

41 : 0:{1,2,4}:{(2,1),(3,1)}
     1:{1,3,4}:{(2,1),(3,1)}
     2:{1,3}:{(0,1),(4,1)}
     3:{2,4}:{(1,1),(4,1),(5,1)}
     4:{2,3}:{(2,1),(3,1),(6,1)}
     5:{1,4}:{(3,1),(6,1)}
     6:{1,3}:{(4,1),(5,1),(7,1)}
     7:{1,2}:{(6,1)}

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

43 : 0:{1,2,4}:{(1,1),(6,1)}
     1:{1,3}:{(0,1),(3,1)}
     2:{1,2}:{(5,1)}
     3:{2,3}:{(1,1),(5,1),(6,1)}
     4:{1,3,4}:{(1,1),(6,1)}
     5:{1,3}:{(2,1),(3,1),(7,1)}
     6:{2,4}:{(3,1),(4,1),(7,1)}
     7:{1,4}:{(5,1),(6,1)}

44 : 0:{2,3,4}:{(1,1),(9,1)}
     1:{1,3,4}:{(0,1),(3,1),(8,1)}
     2:{2,3,4}:{(4,1),(6,1)}
     3:{2,4}:{(1,1),(6,1)}
     4:{1,3,4}:{(2,1),(7,1),(8,1)}
     5:{1,2,4}:{(3,1),(7,1),(8,1)}
     6:{2,3}:{(3,1),(8,1)}
     7:{2,4}:{(4,1),(9,1)}
     8:{1,3}:{(5,1),(6,1),(9,1)}
     9:{2,3}:{(7,1),(8,1)}

45 : 0:{1,2,3}:{(1,1)}
     1:{1,2,4}:{(0,1),(2,1)}
     2:{1,3,4}:{(1,1),(3,1)}
     3:{2,3,4}:{(2,1),(5,1)}
     4:{1,2,3}:{(6,1)}
     5:{1,3,4}:{(3,1),(6,1)}
     6:{1,2,4}:{(4,1),(5,1)}

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

47 : 0:{1,2,3}:{(1,1)}
     1:{1,2,4}:{(0,1),(3,1)}
     2:{1,2,3}:{(4,1)}
     3:{1,3,4}:{(1,1),(5,1)}
     4:{1,2,4}:{(2,1),(6,1)}
     5:{2,3,4}:{(3,1),(6,1)}
     6:{1,3,4}:{(4,1),(5,1)}

48 : 0:{1,2,3}:{(1,1)}
     1:{1,2,4}:{(0,1),(3,1)}
     2:{2,3,4}:{(3,1)}
     3:{1,3,4}:{(1,1),(2,1),(4,1)}
     4:{2,3,4}:{(3,1)}

49 : 0:{1,2,3,4}:{}