0 : 0:{}:{}

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

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

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

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

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

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

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

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

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

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

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

12 : 0:{1,4}:{(1,1)}
     1:{3}:{(0,1),(2,1)}
     2:{2}:{(1,1)}

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

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

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

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

17 :  0:{3,4}:{(2,1),(3,1),(9,1)}
      1:{1,3}:{(2,1),(4,1),(9,1)}
      2:{1,4}:{(0,1),(1,1)}
      3:{2,4}:{(0,1),(5,1)}
      4:{1,2}:{(1,1),(7,1)}
      5:{2,3}:{(3,1),(8,1),(9,1)}
      6:{1,2,4}:{(2,1),(3,1),(4,1),(8,1),(9,1),(10,1),(13,1)}
      7:{2,3}:{(4,1),(9,1),(10,1)}
      8:{1,2}:{(5,1),(11,1)}
      9:{3}:{(6,1)}
     10:{2,4}:{(7,1),(12,1)}
     11:{1,3}:{(8,1),(9,1),(13,1)}
     12:{3,4}:{(9,1),(10,1),(13,1)}
     13:{1,4}:{(11,1),(12,1)}

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

19 :  0:{3,4}:{(2,1),(3,1),(9,1)}
      1:{2,3}:{(3,1),(4,1),(9,1)}
      2:{1,4}:{(0,1),(5,1)}
      3:{2,4}:{(0,1),(1,1)}
      4:{1,2}:{(1,1),(7,1)}
      5:{1,3}:{(2,1),(8,1),(9,1)}
      6:{1,2,4}:{(2,1),(3,1),(4,1),(8,1),(9,1),(10,1),(13,1)}
      7:{1,3}:{(4,1),(9,1),(10,1)}
      8:{1,2}:{(5,1),(11,1)}
      9:{3}:{(6,1)}
     10:{1,4}:{(7,1),(12,1)}
     11:{2,3}:{(8,1),(9,1),(13,1)}
     12:{3,4}:{(9,1),(10,1),(13,1)}
     13:{2,4}:{(11,1),(12,1)}

20 : 0:{1,2,4}:{(1,1),(5,1),(6,1),(7,1)}
     1:{3}:{(0,1)}
     2:{3,4}:{(1,1),(5,1),(6,1),(9,1)}
     3:{1,3}:{(1,1),(5,1),(7,1),(9,1)}
     4:{2,3}:{(1,1),(6,1),(7,1),(9,1)}
     5:{1,4}:{(2,1),(3,1)}
     6:{2,4}:{(2,1),(4,1)}
     7:{1,2}:{(3,1),(4,1)}
     8:{1,2,4}:{(5,1),(6,1),(7,1),(9,1)}
     9:{3}:{(8,1)}

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

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

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

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

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

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

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

28 : 0:{2,3,4}:{(1,1)}
     1:{1,2,4}:{(0,1),(2,1)}
     2:{1,3}:{(1,1)}

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

30 : 0:{1,2,3}:{(1,1)}
     1:{1,2,4}:{(0,1),(2,1)}
     2:{3,4}:{(1,1)}

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

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

33 : 0:{1,2,3}:{(2,1)}
     1:{1,3,4}:{(2,1)}
     2:{1,2,4}:{(0,1),(1,1),(3,1)}
     3:{2,3,4}:{(2,1)}

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

35 : 0:{1,2,3,4}:{}