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 -> 13
1 0 0 -> 14
0 1 0 -> 13
1 1 0 -> 13
1 1 1 -> 15

3 1
0 0 0 -> 3
1 0 0 -> 13
0 1 0 -> 13
1 1 0 -> 16

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 -> 17
1 0 0 -> 17
0 1 0 -> 18
1 1 0 -> 19
0 0 1 -> 17
1 0 1 -> 17
0 1 1 -> 20
1 1 1 -> 21

7 1
0 0 0 -> 17
1 0 0 -> 17
0 1 0 -> 22
1 1 0 -> 23
0 0 1 -> 17
1 0 1 -> 17
0 1 1 -> 24
1 1 1 -> 25

8 1
0 0 0 -> 26
1 0 0 -> 27
0 1 0 -> 13
1 1 0 -> 13
0 1 1 -> 28
1 1 1 -> 29

9 1
0 0 0 -> 30
1 0 0 -> 31
0 1 0 -> 32
1 1 0 -> 33
1 0 1 -> 34
1 1 1 -> 28

10 1
0 0 0 -> 17
1 0 0 -> 17
0 1 0 -> 20
1 1 0 -> 21
0 0 1 -> 17
1 0 1 -> 17
0 1 1 -> 20
1 1 1 -> 21

11 1
0 0 0 -> 17
1 0 0 -> 17
0 1 0 -> 24
1 1 0 -> 25
0 0 1 -> 17
1 0 1 -> 17
0 1 1 -> 24
1 1 1 -> 25

12 0
1 0 0 -> 34
1 0 1 -> 34

13 1
0 0 0 -> 13
1 0 0 -> 13
0 1 0 -> 13
1 1 0 -> 13

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

15 1
0 0 0 -> 28
1 1 1 -> 28

16 1
0 0 0 -> 16
1 0 0 -> 13
0 1 0 -> 2
1 1 0 -> 3

17 1
0 0 0 -> 17
1 0 0 -> 17
0 1 0 -> 17
1 1 0 -> 17
0 0 1 -> 17
1 0 1 -> 17
0 1 1 -> 17
1 1 1 -> 17

18 1
0 0 0 -> 35
1 0 0 -> 36
0 1 0 -> 13
1 1 0 -> 37
0 0 1 -> 38
1 0 1 -> 39
0 1 1 -> 40

19 1
0 0 0 -> 22
1 0 0 -> 23
0 1 0 -> 41
1 1 0 -> 42
0 0 1 -> 24
1 0 1 -> 25
0 1 1 -> 43
1 1 1 -> 34

20 1
0 0 0 -> 38
1 0 0 -> 39
0 0 1 -> 38
1 0 1 -> 39

21 1
0 0 0 -> 24
1 0 0 -> 25
0 1 0 -> 43
1 1 0 -> 34
0 0 1 -> 24
1 0 1 -> 25
0 1 1 -> 43
1 1 1 -> 34

22 1
0 0 0 -> 17
1 0 0 -> 17
0 1 0 -> 44
1 1 0 -> 45
0 0 1 -> 17
1 0 1 -> 17
0 1 1 -> 4
1 1 1 -> 5

23 1
0 0 0 -> 17
1 0 0 -> 17
0 1 0 -> 46
1 1 0 -> 7
0 0 1 -> 17
1 0 1 -> 17
0 1 1 -> 10
1 1 1 -> 11

24 1
0 0 0 -> 17
1 0 0 -> 17
0 1 0 -> 4
1 1 0 -> 5
0 0 1 -> 17
1 0 1 -> 17
0 1 1 -> 4
1 1 1 -> 5

25 1
0 0 0 -> 17
1 0 0 -> 17
0 1 0 -> 10
1 1 0 -> 11
0 0 1 -> 17
1 0 1 -> 17
0 1 1 -> 10
1 1 1 -> 11

26 1
0 0 0 -> 8
1 0 0 -> 27
0 1 0 -> 13
1 1 0 -> 13

27 1
0 0 0 -> 13
1 0 0 -> 13
0 1 0 -> 32
1 1 0 -> 33

28 1
0 0 0 -> 28

29 0
0 1 1 -> 28

30 1
0 0 0 -> 47
1 0 0 -> 48
0 1 0 -> 13
1 1 0 -> 13

31 1
0 0 0 -> 49
1 0 0 -> 50
0 1 0 -> 13
1 1 0 -> 37
1 0 1 -> 12

32 1
0 0 0 -> 32
1 0 0 -> 33
0 1 0 -> 13
1 1 0 -> 13

33 1
0 0 0 -> 13
1 0 0 -> 13
0 1 0 -> 8
1 1 0 -> 27

34 1
1 0 0 -> 12
1 0 1 -> 12

35 1
0 0 0 -> 51
1 0 0 -> 52
0 1 0 -> 41
1 1 0 -> 53
0 0 1 -> 20
1 0 1 -> 21

36 1
0 0 0 -> 22
1 0 0 -> 23
0 1 0 -> 13
1 1 0 -> 54
0 0 1 -> 24
1 0 1 -> 25
1 1 1 -> 34

37 1
0 0 0 -> 37
1 0 0 -> 41
0 1 0 -> 13
1 1 0 -> 13

38 1
0 0 0 -> 20
1 0 0 -> 21
0 0 1 -> 20
1 0 1 -> 21

39 1
0 0 0 -> 24
1 0 0 -> 25
1 1 0 -> 34
0 0 1 -> 24
1 0 1 -> 25
1 1 1 -> 34

40 0
1 1 1 -> 28

41 1
0 0 0 -> 53
1 0 0 -> 13
0 1 0 -> 13
1 1 0 -> 47

42 1
0 0 0 -> 13
1 0 0 -> 50
0 1 0 -> 48
1 1 0 -> 49
1 0 1 -> 12

43 1

44 1
0 0 0 -> 44
1 0 0 -> 45
0 1 0 -> 13
1 1 0 -> 13
0 0 1 -> 4
1 0 1 -> 5

45 1
0 0 0 -> 46
1 0 0 -> 7
0 1 0 -> 13
1 1 0 -> 50
0 0 1 -> 10
1 0 1 -> 11
1 1 1 -> 12

46 1
0 0 0 -> 17
1 0 0 -> 17
0 1 0 -> 51
1 1 0 -> 52
0 0 1 -> 17
1 0 1 -> 17
0 1 1 -> 20
1 1 1 -> 21

47 1
0 0 0 -> 30
1 0 0 -> 55
0 1 0 -> 13
1 1 0 -> 13
1 1 1 -> 28

48 1
0 0 0 -> 49
1 0 0 -> 13
0 1 0 -> 13
1 1 0 -> 37
0 1 1 -> 40

49 1
0 0 0 -> 13
1 0 0 -> 13
0 1 0 -> 41
1 1 0 -> 53

50 1
0 0 0 -> 13
1 0 0 -> 54
0 1 0 -> 13
1 1 0 -> 13
1 0 1 -> 34

51 1
0 0 0 -> 56
1 0 0 -> 36
0 1 0 -> 13
1 1 0 -> 13
0 0 1 -> 38
1 0 1 -> 39

52 1
0 0 0 -> 22
1 0 0 -> 23
0 1 0 -> 13
1 1 0 -> 54
0 0 1 -> 24
1 0 1 -> 25
0 1 1 -> 43
1 1 1 -> 34

53 1
0 0 0 -> 13
1 0 0 -> 13
0 1 0 -> 48
1 1 0 -> 49

54 1
0 0 0 -> 13
1 0 0 -> 50
0 1 0 -> 13
1 1 0 -> 13
1 0 1 -> 12

55 1
0 0 0 -> 49
1 0 0 -> 13
0 1 0 -> 13
1 1 0 -> 37

56 1
0 0 0 -> 51
1 0 0 -> 52
0 1 0 -> 13
1 1 0 -> 13
0 0 1 -> 20
1 0 1 -> 21
