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
0 1 1 -> 6

1 1
0 0 0 -> 7
1 0 0 -> 8
0 1 0 -> 9
1 1 0 -> 10
0 0 1 -> 11
1 0 1 -> 12
1 1 1 -> 13

2 1
0 0 0 -> 14
1 0 0 -> 15
0 1 0 -> 16
1 1 0 -> 16

3 1
0 0 0 -> 17
1 0 0 -> 18
0 1 0 -> 19
1 1 0 -> 20

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

5 1
0 0 0 -> 11
1 0 0 -> 12
1 1 0 -> 21
0 0 1 -> 11
1 0 1 -> 12
1 1 1 -> 21

6 0
0 1 0 -> 22

7 1
0 0 0 -> 23
1 0 0 -> 23
0 1 0 -> 24
1 1 0 -> 25
0 0 1 -> 23
1 0 1 -> 23
0 1 1 -> 26
1 1 1 -> 27

8 1
0 0 0 -> 23
1 0 0 -> 23
0 1 0 -> 28
1 1 0 -> 8
0 0 1 -> 23
1 0 1 -> 23
0 1 1 -> 11
1 1 1 -> 12

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

10 1
0 0 0 -> 33
1 0 0 -> 34
0 1 0 -> 35
1 1 0 -> 36
0 0 1 -> 37
1 0 1 -> 38

11 1
0 0 0 -> 23
1 0 0 -> 23
0 1 0 -> 26
1 1 0 -> 27
0 0 1 -> 23
1 0 1 -> 23
0 1 1 -> 26
1 1 1 -> 27

12 1
0 0 0 -> 23
1 0 0 -> 23
0 1 0 -> 11
1 1 0 -> 12
0 0 1 -> 23
1 0 1 -> 23
0 1 1 -> 11
1 1 1 -> 12

13 1
1 0 0 -> 38
0 1 0 -> 22
1 0 1 -> 38

14 1
0 0 0 -> 16
1 0 0 -> 16
0 1 0 -> 16
1 1 0 -> 16
1 0 1 -> 39

15 1
0 0 0 -> 16
1 0 0 -> 40
0 1 0 -> 16
1 1 0 -> 14
0 0 1 -> 41
1 0 1 -> 6

16 1
0 0 0 -> 16
1 0 0 -> 16
0 1 0 -> 16
1 1 0 -> 16

17 1
0 0 0 -> 20
1 0 0 -> 16
0 1 0 -> 15
1 1 0 -> 17

18 1
0 0 0 -> 16
1 0 0 -> 42
0 1 0 -> 16
1 1 0 -> 16
0 0 1 -> 43

19 1
0 0 0 -> 16
1 0 0 -> 44
0 1 0 -> 16
1 1 0 -> 16
0 0 1 -> 43

20 1
0 0 0 -> 17
1 0 0 -> 16
0 1 0 -> 19
1 1 0 -> 20

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

22 1

23 1
0 0 0 -> 23
1 0 0 -> 23
0 1 0 -> 23
1 1 0 -> 23
0 0 1 -> 23
1 0 1 -> 23
0 1 1 -> 23
1 1 1 -> 23

24 1
0 0 0 -> 45
1 0 0 -> 46
0 1 0 -> 18
1 1 0 -> 47
0 0 1 -> 48
1 0 1 -> 49

25 1
0 0 0 -> 50
1 0 0 -> 51
0 1 0 -> 52
1 1 0 -> 53
0 0 1 -> 54
1 0 1 -> 55
1 1 1 -> 56

26 1
0 0 0 -> 48
1 0 0 -> 49
0 0 1 -> 48
1 0 1 -> 49

27 1
0 0 0 -> 54
1 0 0 -> 55
1 1 0 -> 56
0 0 1 -> 54
1 0 1 -> 55
1 1 1 -> 56

28 1
0 0 0 -> 23
1 0 0 -> 23
0 1 0 -> 57
1 1 0 -> 58
0 0 1 -> 23
1 0 1 -> 23
0 1 1 -> 26
1 1 1 -> 27

29 1
0 0 0 -> 59
1 0 0 -> 36
0 1 0 -> 16
1 1 0 -> 18
1 0 1 -> 39

30 1
0 0 0 -> 16
1 0 0 -> 60
0 1 0 -> 61
1 1 0 -> 62
0 0 1 -> 63
1 0 1 -> 64

31 1
0 0 0 -> 16
1 0 0 -> 16
0 1 0 -> 16
1 1 0 -> 16
1 0 1 -> 65

32 1
0 0 0 -> 16
1 0 0 -> 66
0 1 0 -> 16
1 1 0 -> 16
0 0 1 -> 63
1 0 1 -> 67

33 1
0 0 0 -> 68
1 0 0 -> 52
0 1 0 -> 16
1 1 0 -> 14
0 0 1 -> 6

34 1
0 0 0 -> 69
1 0 0 -> 70
0 1 0 -> 71
1 1 0 -> 33
0 0 1 -> 22
1 0 1 -> 21

35 1
0 0 0 -> 72
1 0 0 -> 62
0 1 0 -> 14
1 1 0 -> 32

36 1
0 0 0 -> 16
1 0 0 -> 16
0 1 0 -> 35
1 1 0 -> 36

37 0
1 1 1 -> 22

38 0
0 0 0 -> 22
1 0 0 -> 21
0 0 1 -> 22
1 0 1 -> 21

39 0
1 0 1 -> 43

40 1
0 0 0 -> 31
1 0 0 -> 15
0 1 0 -> 16
1 1 0 -> 16

41 0
1 1 0 -> 22
0 0 1 -> 73

42 1
0 0 0 -> 16
1 0 0 -> 18
0 1 0 -> 16
1 1 0 -> 16

43 1
1 0 0 -> 22

44 1
0 0 0 -> 16
1 0 0 -> 19
0 1 0 -> 16
1 1 0 -> 31

45 1
0 0 0 -> 57
1 0 0 -> 58
0 1 0 -> 74
1 1 0 -> 75
0 0 1 -> 26
1 0 1 -> 27

46 1
0 0 0 -> 28
1 0 0 -> 8
0 1 0 -> 16
1 1 0 -> 76
0 0 1 -> 11
1 0 1 -> 12
1 1 1 -> 38

47 1
0 0 0 -> 77
1 0 0 -> 74
0 1 0 -> 16
1 1 0 -> 16

48 1
0 0 0 -> 26
1 0 0 -> 27
0 0 1 -> 26
1 0 1 -> 27

49 1
0 0 0 -> 11
1 0 0 -> 12
1 1 0 -> 38
0 0 1 -> 11
1 0 1 -> 12
1 1 1 -> 38

50 1
0 0 0 -> 23
1 0 0 -> 23
0 1 0 -> 78
1 1 0 -> 46
0 0 1 -> 23
1 0 1 -> 23
0 1 1 -> 48
1 1 1 -> 49

51 1
0 0 0 -> 23
1 0 0 -> 23
0 1 0 -> 50
1 1 0 -> 51
0 0 1 -> 23
1 0 1 -> 23
0 1 1 -> 54
1 1 1 -> 55

52 1
0 0 0 -> 75
1 0 0 -> 16
0 1 0 -> 18
1 1 0 -> 47

53 1
0 0 0 -> 16
1 0 0 -> 79
0 1 0 -> 52
1 1 0 -> 69
1 0 1 -> 80

54 1
0 0 0 -> 23
1 0 0 -> 23
0 1 0 -> 48
1 1 0 -> 49
0 0 1 -> 23
1 0 1 -> 23
0 1 1 -> 48
1 1 1 -> 49

55 1
0 0 0 -> 23
1 0 0 -> 23
0 1 0 -> 54
1 1 0 -> 55
0 0 1 -> 23
1 0 1 -> 23
0 1 1 -> 54
1 1 1 -> 55

56 1
1 0 0 -> 80
1 0 1 -> 80

57 1
0 0 0 -> 78
1 0 0 -> 46
0 1 0 -> 16
1 1 0 -> 16
0 0 1 -> 48
1 0 1 -> 49

58 1
0 0 0 -> 50
1 0 0 -> 51
0 1 0 -> 16
1 1 0 -> 81
0 0 1 -> 54
1 0 1 -> 55
1 1 1 -> 56

59 1
0 0 0 -> 61
1 0 0 -> 62
0 1 0 -> 31
1 1 0 -> 32

60 1
0 0 0 -> 31
1 0 0 -> 71
0 1 0 -> 16
1 1 0 -> 16

61 1
0 0 0 -> 59
1 0 0 -> 36
0 1 0 -> 16
1 1 0 -> 18

62 1
0 0 0 -> 16
1 0 0 -> 16
0 1 0 -> 61
1 1 0 -> 62

63 0
0 0 1 -> 73

64 0
1 1 0 -> 22

65 0
0 0 1 -> 43
1 0 1 -> 73

66 1
0 0 0 -> 31
1 0 0 -> 32
0 1 0 -> 16
1 1 0 -> 16

67 0
0 1 0 -> 22
1 1 0 -> 22

68 1
0 0 0 -> 33
1 0 0 -> 74
0 1 0 -> 16
1 1 0 -> 16

69 1
0 0 0 -> 16
1 0 0 -> 16
0 1 0 -> 52
1 1 0 -> 69

70 1
0 0 0 -> 16
1 0 0 -> 76
0 1 0 -> 16
1 1 0 -> 16
1 0 1 -> 38

71 1
0 0 0 -> 16
1 0 0 -> 60
0 1 0 -> 16
1 1 0 -> 16
0 0 1 -> 63
1 0 1 -> 64

72 1
0 0 0 -> 35
1 0 0 -> 36
0 1 0 -> 16
1 1 0 -> 18

73 1
0 0 0 -> 22
1 0 0 -> 22

74 1
0 0 0 -> 69
1 0 0 -> 16
0 1 0 -> 71
1 1 0 -> 33

75 1
0 0 0 -> 16
1 0 0 -> 16
0 1 0 -> 74
1 1 0 -> 75

76 1
0 0 0 -> 16
1 0 0 -> 70
0 1 0 -> 16
1 1 0 -> 16
0 0 1 -> 22
1 0 1 -> 21

77 1
0 0 0 -> 47
1 0 0 -> 52
0 1 0 -> 16
1 1 0 -> 31

78 1
0 0 0 -> 57
1 0 0 -> 58
0 1 0 -> 16
1 1 0 -> 16
0 0 1 -> 26
1 0 1 -> 27

79 1
0 0 0 -> 16
1 0 0 -> 81
0 1 0 -> 16
1 1 0 -> 16
1 0 1 -> 56

80 0
1 0 0 -> 56
1 0 1 -> 56

81 1
0 0 0 -> 16
1 0 0 -> 79
0 1 0 -> 16
1 1 0 -> 16
1 0 1 -> 80
