msd_2 msd_2 msd_2

0 1
0 0 0 -> 0
1 0 0 -> 1
0 1 0 -> 2
1 1 0 -> 3
0 0 1 -> 4
1 0 1 -> 5

1 1
0 0 0 -> 6
1 0 0 -> 7
0 1 0 -> 8
1 1 0 -> 9
0 0 1 -> 10
1 0 1 -> 11
1 1 1 -> 12

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

3 1
0 0 0 -> 3
1 0 0 -> 2
0 1 0 -> 13
1 1 0 -> 14

4 1
0 0 0 -> 4
1 0 0 -> 5
0 0 1 -> 4
1 0 1 -> 5

5 1
0 0 0 -> 10
1 0 0 -> 11
1 1 0 -> 12
0 0 1 -> 10
1 0 1 -> 11
1 1 1 -> 12

6 1
0 0 0 -> 15
1 0 0 -> 15
0 1 0 -> 16
1 1 0 -> 17
0 0 1 -> 15
1 0 1 -> 15
0 1 1 -> 18
1 1 1 -> 19

7 1
0 0 0 -> 15
1 0 0 -> 15
0 1 0 -> 20
1 1 0 -> 21
0 0 1 -> 15
1 0 1 -> 15
0 1 1 -> 22
1 1 1 -> 23

8 1
0 0 0 -> 24
1 0 0 -> 25
0 1 0 -> 2
1 1 0 -> 2
0 1 1 -> 26
1 1 1 -> 27

9 1
0 0 0 -> 28
1 0 0 -> 29
0 1 0 -> 30
1 1 0 -> 31
1 0 1 -> 32

10 1
0 0 0 -> 15
1 0 0 -> 15
0 1 0 -> 18
1 1 0 -> 19
0 0 1 -> 15
1 0 1 -> 15
0 1 1 -> 18
1 1 1 -> 19

11 1
0 0 0 -> 15
1 0 0 -> 15
0 1 0 -> 22
1 1 0 -> 23
0 0 1 -> 15
1 0 1 -> 15
0 1 1 -> 22
1 1 1 -> 23

12 0
1 0 0 -> 32
1 0 1 -> 32

13 1
0 0 0 -> 2
1 0 0 -> 33
0 1 0 -> 2
1 1 0 -> 2
1 1 1 -> 34

14 1
0 0 0 -> 14
1 0 0 -> 2
0 1 0 -> 2
1 1 0 -> 3

15 1
0 0 0 -> 15
1 0 0 -> 15
0 1 0 -> 15
1 1 0 -> 15
0 0 1 -> 15
1 0 1 -> 15
0 1 1 -> 15
1 1 1 -> 15

16 1
0 0 0 -> 35
1 0 0 -> 36
0 1 0 -> 2
1 1 0 -> 37
0 0 1 -> 38
1 0 1 -> 39

17 1
0 0 0 -> 20
1 0 0 -> 21
0 1 0 -> 40
1 1 0 -> 41
0 0 1 -> 22
1 0 1 -> 23
0 1 1 -> 42
1 1 1 -> 32

18 1
0 0 0 -> 38
1 0 0 -> 39
0 0 1 -> 38
1 0 1 -> 39

19 1
0 0 0 -> 22
1 0 0 -> 23
0 1 0 -> 42
1 1 0 -> 32
0 0 1 -> 22
1 0 1 -> 23
0 1 1 -> 42
1 1 1 -> 32

20 1
0 0 0 -> 15
1 0 0 -> 15
0 1 0 -> 43
1 1 0 -> 44
0 0 1 -> 15
1 0 1 -> 15
0 1 1 -> 4
1 1 1 -> 5

21 1
0 0 0 -> 15
1 0 0 -> 15
0 1 0 -> 45
1 1 0 -> 7
0 0 1 -> 15
1 0 1 -> 15
0 1 1 -> 10
1 1 1 -> 11

22 1
0 0 0 -> 15
1 0 0 -> 15
0 1 0 -> 4
1 1 0 -> 5
0 0 1 -> 15
1 0 1 -> 15
0 1 1 -> 4
1 1 1 -> 5

23 1
0 0 0 -> 15
1 0 0 -> 15
0 1 0 -> 10
1 1 0 -> 11
0 0 1 -> 15
1 0 1 -> 15
0 1 1 -> 10
1 1 1 -> 11

24 1
0 0 0 -> 8
1 0 0 -> 25
0 1 0 -> 2
1 1 0 -> 2

25 1
0 0 0 -> 2
1 0 0 -> 2
0 1 0 -> 30
1 1 0 -> 31

26 1
0 0 0 -> 26

27 0
0 1 1 -> 26

28 1
0 0 0 -> 28
1 0 0 -> 46
0 1 0 -> 2
1 1 0 -> 2

29 1
0 0 0 -> 47
1 0 0 -> 48
0 1 0 -> 2
1 1 0 -> 37
1 0 1 -> 12

30 1
0 0 0 -> 30
1 0 0 -> 31
0 1 0 -> 2
1 1 0 -> 2

31 1
0 0 0 -> 2
1 0 0 -> 2
0 1 0 -> 8
1 1 0 -> 25

32 1
1 0 0 -> 12
1 0 1 -> 12

33 1
0 0 0 -> 2
1 0 0 -> 13
0 1 0 -> 2
1 1 0 -> 2

34 1
0 0 0 -> 26
1 1 1 -> 26

35 1
0 0 0 -> 49
1 0 0 -> 50
0 1 0 -> 40
1 1 0 -> 51
0 0 1 -> 18
1 0 1 -> 19

36 1
0 0 0 -> 20
1 0 0 -> 21
0 1 0 -> 2
1 1 0 -> 52
0 0 1 -> 22
1 0 1 -> 23
1 1 1 -> 32

37 1
0 0 0 -> 53
1 0 0 -> 54
0 1 0 -> 2
1 1 0 -> 2
1 1 1 -> 26

38 1
0 0 0 -> 18
1 0 0 -> 19
0 0 1 -> 18
1 0 1 -> 19

39 1
0 0 0 -> 22
1 0 0 -> 23
1 1 0 -> 32
0 0 1 -> 22
1 0 1 -> 23
1 1 1 -> 32

40 1
0 0 0 -> 51
1 0 0 -> 2
0 1 0 -> 2
1 1 0 -> 28
0 1 1 -> 55

41 1
0 0 0 -> 2
1 0 0 -> 48
0 1 0 -> 46
1 1 0 -> 47
1 0 1 -> 12

42 1

43 1
0 0 0 -> 43
1 0 0 -> 44
0 1 0 -> 2
1 1 0 -> 2
0 0 1 -> 4
1 0 1 -> 5

44 1
0 0 0 -> 45
1 0 0 -> 7
0 1 0 -> 2
1 1 0 -> 48
0 0 1 -> 10
1 0 1 -> 11
1 1 1 -> 12

45 1
0 0 0 -> 15
1 0 0 -> 15
0 1 0 -> 49
1 1 0 -> 50
0 0 1 -> 15
1 0 1 -> 15
0 1 1 -> 18
1 1 1 -> 19

46 1
0 0 0 -> 47
1 0 0 -> 2
0 1 0 -> 2
1 1 0 -> 37

47 1
0 0 0 -> 2
1 0 0 -> 2
0 1 0 -> 40
1 1 0 -> 51

48 1
0 0 0 -> 2
1 0 0 -> 52
0 1 0 -> 2
1 1 0 -> 2
1 0 1 -> 32

49 1
0 0 0 -> 56
1 0 0 -> 36
0 1 0 -> 2
1 1 0 -> 2
0 0 1 -> 38
1 0 1 -> 39

50 1
0 0 0 -> 20
1 0 0 -> 21
0 1 0 -> 2
1 1 0 -> 52
0 0 1 -> 22
1 0 1 -> 23
0 1 1 -> 42
1 1 1 -> 32

51 1
0 0 0 -> 2
1 0 0 -> 2
0 1 0 -> 46
1 1 0 -> 47

52 1
0 0 0 -> 2
1 0 0 -> 48
0 1 0 -> 2
1 1 0 -> 2
1 0 1 -> 12

53 1
0 0 0 -> 37
1 0 0 -> 40
0 1 0 -> 2
1 1 0 -> 2

54 1
0 0 0 -> 51
1 0 0 -> 2
0 1 0 -> 2
1 1 0 -> 28

55 0
1 1 1 -> 26

56 1
0 0 0 -> 49
1 0 0 -> 50
0 1 0 -> 2
1 1 0 -> 2
0 0 1 -> 18
1 0 1 -> 19
