{0,1,2} {0,1,2} {0,1,2}

0 1
0 0 0 -> 0
0 0 1 -> 1
0 1 1 -> 0
0 1 2 -> 3
0 2 2 -> 4
1 0 1 -> 0
1 0 2 -> 3
1 1 2 -> 4
2 0 2 -> 4

1 0
0 1 0 -> 5
0 2 0 -> 6
1 0 0 -> 5
1 1 0 -> 7
1 1 1 -> 5
1 2 0 -> 8
1 2 1 -> 6
2 0 0 -> 9
2 1 0 -> 8
2 1 1 -> 9
2 2 1 -> 8
2 2 2 -> 10

2 0
0 0 0 -> 2
0 0 1 -> 2
0 0 2 -> 2
0 1 0 -> 2
0 1 1 -> 2
0 1 2 -> 2
0 2 0 -> 2
0 2 1 -> 2
0 2 2 -> 2
1 0 0 -> 2
1 0 1 -> 2
1 0 2 -> 2
1 1 0 -> 2
1 1 1 -> 2
1 1 2 -> 2
1 2 0 -> 2
1 2 1 -> 2
1 2 2 -> 2
2 0 0 -> 2
2 0 1 -> 2
2 0 2 -> 2
2 1 0 -> 2
2 1 1 -> 2
2 1 2 -> 2
2 2 0 -> 2
2 2 1 -> 2
2 2 2 -> 2

3 0
0 1 0 -> 5
0 2 0 -> 6
1 0 0 -> 5
1 1 0 -> 7
1 1 1 -> 5
1 2 0 -> 8
1 2 1 -> 6
2 0 0 -> 9
2 1 0 -> 8
2 1 1 -> 9
2 2 1 -> 8

4 1
0 0 0 -> 0
0 0 1 -> 1
0 1 1 -> 0
1 0 1 -> 0

5 0
2 2 0 -> 10

6 0
0 1 0 -> 1
1 0 0 -> 1
1 1 0 -> 0
1 1 1 -> 1
2 0 0 -> 11
2 0 1 -> 12
2 1 1 -> 11
2 1 2 -> 12

7 0
0 1 0 -> 1
0 2 0 -> 13
0 2 1 -> 14
1 0 0 -> 1
1 1 0 -> 0
1 1 1 -> 1
1 2 1 -> 13
1 2 2 -> 14
2 0 0 -> 11
2 0 1 -> 12
2 1 1 -> 11
2 1 2 -> 12
2 2 2 -> 4

8 1
0 0 0 -> 15
0 0 1 -> 16
0 0 2 -> 17
0 1 1 -> 15
0 1 2 -> 18
1 0 1 -> 15
1 0 2 -> 18

9 0
0 1 0 -> 1
0 2 0 -> 13
0 2 1 -> 14
1 0 0 -> 1
1 1 0 -> 0
1 1 1 -> 1
1 2 1 -> 13
1 2 2 -> 14

10 0
0 1 0 -> 1
1 0 0 -> 1
1 1 0 -> 0
1 1 1 -> 1

11 1
0 0 0 -> 0
0 0 1 -> 1
0 1 1 -> 0
0 1 2 -> 3
0 2 2 -> 4
1 0 1 -> 0
1 0 2 -> 3
1 1 2 -> 4

12 0
0 1 0 -> 5
0 2 0 -> 6
1 0 0 -> 5
1 1 0 -> 7
1 1 1 -> 5
1 2 0 -> 8
1 2 1 -> 6

13 1
0 0 0 -> 0
0 0 1 -> 1
0 1 1 -> 0
0 1 2 -> 3
1 0 1 -> 0
1 0 2 -> 3
1 1 2 -> 4
2 0 2 -> 4

14 0
0 1 0 -> 5
1 0 0 -> 5
1 1 0 -> 7
1 1 1 -> 5
2 0 0 -> 9
2 1 0 -> 8
2 1 1 -> 9

15 0
0 0 2 -> 4

16 1
0 0 0 -> 7
0 0 1 -> 5
0 1 0 -> 8
0 1 1 -> 7
0 1 2 -> 5
0 2 1 -> 8
0 2 2 -> 19
1 0 0 -> 8
1 0 1 -> 7
1 0 2 -> 5
1 1 1 -> 8
1 1 2 -> 20
1 2 2 -> 21
2 0 1 -> 8
2 0 2 -> 22
2 1 2 -> 21

17 0
0 2 0 -> 23
1 1 0 -> 24
1 2 0 -> 25
1 2 1 -> 23
2 0 0 -> 26
2 1 0 -> 27
2 1 1 -> 26
2 2 0 -> 28
2 2 1 -> 29

18 1
0 0 0 -> 7
0 0 1 -> 5
0 1 0 -> 8
0 1 1 -> 7
0 2 1 -> 8
1 0 0 -> 8
1 0 1 -> 7
1 1 1 -> 8
2 0 1 -> 8

19 0
0 1 0 -> 1
1 0 0 -> 1
1 1 0 -> 0
1 1 1 -> 1
2 0 0 -> 11
2 0 1 -> 12
2 1 1 -> 11

20 0
0 1 0 -> 1
0 2 0 -> 13
0 2 1 -> 14
1 0 0 -> 1
1 1 0 -> 0
1 1 1 -> 1
1 2 1 -> 13
2 0 0 -> 11
2 0 1 -> 12
2 1 1 -> 11

21 1
0 0 0 -> 15
0 0 1 -> 16
0 1 1 -> 15
1 0 1 -> 15

22 0
0 1 0 -> 1
0 2 0 -> 13
0 2 1 -> 14
1 0 0 -> 1
1 1 0 -> 0
1 1 1 -> 1
1 2 1 -> 13

23 0
2 1 0 -> 12

24 0
1 2 0 -> 14
2 1 0 -> 12
2 2 0 -> 30
2 2 1 -> 31

25 0
0 0 0 -> 17
0 1 0 -> 16
0 1 1 -> 17
1 0 0 -> 16
1 0 1 -> 17
1 1 0 -> 15
1 1 1 -> 16
1 1 2 -> 17
2 0 0 -> 15
2 0 1 -> 32
2 0 2 -> 33
2 1 1 -> 15
2 1 2 -> 34

26 0
1 2 0 -> 14

27 0
0 0 0 -> 17
0 1 0 -> 16
0 1 1 -> 17
0 2 0 -> 15
0 2 1 -> 35
0 2 2 -> 36
1 0 0 -> 16
1 0 1 -> 17
1 1 0 -> 15
1 1 1 -> 16
1 1 2 -> 17
1 2 1 -> 15
1 2 2 -> 37

28 1
0 0 1 -> 38
0 0 2 -> 39
0 1 2 -> 40
1 0 2 -> 40

29 0
0 0 0 -> 17
0 1 0 -> 16
0 1 1 -> 17
1 0 0 -> 16
1 0 1 -> 17
1 1 0 -> 15
1 1 1 -> 16
1 1 2 -> 17

30 1
0 0 0 -> 0
0 0 1 -> 1
0 1 1 -> 0
0 1 2 -> 3
1 0 1 -> 0
1 0 2 -> 3
1 1 2 -> 4

31 0
0 1 0 -> 5
1 0 0 -> 5
1 1 0 -> 7
1 1 1 -> 5

32 1
0 0 0 -> 7
0 0 1 -> 5
0 1 0 -> 8
0 1 1 -> 7
0 1 2 -> 5
0 2 1 -> 8
0 2 2 -> 19
1 0 0 -> 8
1 0 1 -> 7
1 0 2 -> 5
1 1 1 -> 8
1 1 2 -> 20
1 2 2 -> 21

33 0
0 2 0 -> 23
1 1 0 -> 24
1 2 0 -> 25
1 2 1 -> 23

34 1
0 0 0 -> 7
0 0 1 -> 5
0 1 0 -> 8
0 1 1 -> 7
0 2 1 -> 8
1 0 0 -> 8
1 0 1 -> 7
1 1 1 -> 8

35 1
0 0 0 -> 7
0 0 1 -> 5
0 1 0 -> 8
0 1 1 -> 7
0 1 2 -> 5
1 0 0 -> 8
1 0 1 -> 7
1 0 2 -> 5
1 1 1 -> 8
1 1 2 -> 20
2 0 1 -> 8
2 0 2 -> 22
2 1 2 -> 21

36 0
1 1 0 -> 24
2 0 0 -> 26
2 1 0 -> 27
2 1 1 -> 26

37 1
0 0 0 -> 7
0 0 1 -> 5
0 1 0 -> 8
0 1 1 -> 7
1 0 0 -> 8
1 0 1 -> 7
1 1 1 -> 8
2 0 1 -> 8

38 0
0 0 1 -> 8
0 0 2 -> 20
0 1 2 -> 21
1 0 2 -> 21

39 1
0 0 0 -> 24
0 1 0 -> 41
0 1 1 -> 24
0 2 0 -> 28
0 2 1 -> 25
1 0 0 -> 41
1 0 1 -> 24
1 1 0 -> 28
1 1 1 -> 41
1 2 1 -> 28
2 0 0 -> 28
2 0 1 -> 27
2 1 1 -> 28

40 0
0 0 1 -> 8

41 0
0 0 0 -> 17
0 1 0 -> 16
0 1 1 -> 17
0 2 0 -> 15
0 2 1 -> 35
0 2 2 -> 36
1 0 0 -> 16
1 0 1 -> 17
1 1 0 -> 15
1 1 1 -> 16
1 1 2 -> 17
1 2 1 -> 15
1 2 2 -> 37
2 0 0 -> 15
2 0 1 -> 32
2 0 2 -> 33
2 1 1 -> 15
2 1 2 -> 34
