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

3 1
0 0 0 -> 17
1 0 0 -> 18
0 1 0 -> 19
1 1 0 -> 20
0 1 1 -> 21
1 1 1 -> 22

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

6 0
0 1 0 -> 24

7 1
0 0 0 -> 25
1 0 0 -> 25
0 1 0 -> 26
1 1 0 -> 27
0 0 1 -> 25
1 0 1 -> 25
0 1 1 -> 28
1 1 1 -> 29

8 1
0 0 0 -> 25
1 0 0 -> 25
0 1 0 -> 30
1 1 0 -> 31
0 0 1 -> 25
1 0 1 -> 25
0 1 1 -> 32
1 1 1 -> 33

9 1
0 0 0 -> 34
1 0 0 -> 35
0 1 0 -> 14
1 1 0 -> 36
0 1 1 -> 22
1 1 1 -> 37

10 1
0 0 0 -> 38
1 0 0 -> 39
0 1 0 -> 40
1 1 0 -> 41
0 0 1 -> 42
1 0 1 -> 43
1 1 1 -> 44

11 1
0 0 0 -> 25
1 0 0 -> 25
0 1 0 -> 28
1 1 0 -> 29
0 0 1 -> 25
1 0 1 -> 25
0 1 1 -> 28
1 1 1 -> 29

12 1
0 0 0 -> 25
1 0 0 -> 25
0 1 0 -> 32
1 1 0 -> 33
0 0 1 -> 25
1 0 1 -> 25
0 1 1 -> 32
1 1 1 -> 33

13 1
1 0 0 -> 43
0 1 0 -> 24
1 0 1 -> 43

14 1
0 0 0 -> 14
1 0 0 -> 14
0 1 0 -> 14
1 1 0 -> 14

15 1
0 0 0 -> 14
1 0 0 -> 45
0 1 0 -> 14
1 1 0 -> 14

16 0
0 0 0 -> 46
1 0 0 -> 24
1 1 1 -> 46

17 1
0 0 0 -> 47
1 0 0 -> 14
0 1 0 -> 48
1 1 0 -> 20

18 1
0 0 0 -> 14
1 0 0 -> 49
0 1 0 -> 14
1 1 0 -> 14
0 0 1 -> 24

19 1
0 0 0 -> 14
1 0 0 -> 50
0 1 0 -> 14
1 1 0 -> 14
0 1 1 -> 51
1 1 1 -> 52

20 1
0 0 0 -> 53
1 0 0 -> 14
0 1 0 -> 2
1 1 0 -> 47
0 1 1 -> 6

21 0
0 1 1 -> 24

22 0
0 0 1 -> 24
1 0 1 -> 24

23 1
1 0 0 -> 43
1 0 1 -> 43

24 1

25 1
0 0 0 -> 25
1 0 0 -> 25
0 1 0 -> 25
1 1 0 -> 25
0 0 1 -> 25
1 0 1 -> 25
0 1 1 -> 25
1 1 1 -> 25

26 1
0 0 0 -> 54
1 0 0 -> 55
0 1 0 -> 56
1 1 0 -> 57
0 0 1 -> 58
1 0 1 -> 59
0 1 1 -> 60
1 1 1 -> 21

27 1
0 0 0 -> 30
1 0 0 -> 31
0 1 0 -> 61
1 1 0 -> 62
0 0 1 -> 32
1 0 1 -> 33
1 1 1 -> 63

28 1
0 0 0 -> 58
1 0 0 -> 59
0 0 1 -> 58
1 0 1 -> 59

29 1
0 0 0 -> 32
1 0 0 -> 33
1 1 0 -> 63
0 0 1 -> 32
1 0 1 -> 33
1 1 1 -> 63

30 1
0 0 0 -> 25
1 0 0 -> 25
0 1 0 -> 64
1 1 0 -> 65
0 0 1 -> 25
1 0 1 -> 25
0 1 1 -> 66
1 1 1 -> 67

31 1
0 0 0 -> 25
1 0 0 -> 25
0 1 0 -> 68
1 1 0 -> 8
0 0 1 -> 25
1 0 1 -> 25
0 1 1 -> 11
1 1 1 -> 12

32 1
0 0 0 -> 25
1 0 0 -> 25
0 1 0 -> 66
1 1 0 -> 67
0 0 1 -> 25
1 0 1 -> 25
0 1 1 -> 66
1 1 1 -> 67

33 1
0 0 0 -> 25
1 0 0 -> 25
0 1 0 -> 11
1 1 0 -> 12
0 0 1 -> 25
1 0 1 -> 25
0 1 1 -> 11
1 1 1 -> 12

34 1
0 0 0 -> 69
1 0 0 -> 70
0 1 0 -> 14
1 1 0 -> 71

35 1
0 0 0 -> 14
1 0 0 -> 71
0 1 0 -> 40
1 1 0 -> 41

36 1
0 0 0 -> 14
1 0 0 -> 56
0 1 0 -> 14
1 1 0 -> 14

37 0
0 1 0 -> 24
1 1 0 -> 24

38 1
0 0 0 -> 72
1 0 0 -> 73
0 1 0 -> 14
1 1 0 -> 14

39 1
0 0 0 -> 74
1 0 0 -> 75
0 1 0 -> 56
1 1 0 -> 76
0 0 1 -> 24
1 0 1 -> 23

40 1
0 0 0 -> 77
1 0 0 -> 41
0 1 0 -> 14
1 1 0 -> 78
0 1 1 -> 44
1 1 1 -> 79

41 1
0 0 0 -> 14
1 0 0 -> 14
0 1 0 -> 69
1 1 0 -> 70

42 0
1 1 1 -> 24

43 0
0 0 0 -> 24
1 0 0 -> 23
0 0 1 -> 24
1 0 1 -> 23

44 0
0 0 0 -> 46
1 0 0 -> 24

45 1
0 0 0 -> 14
1 0 0 -> 15
0 1 0 -> 14
1 1 0 -> 14
0 0 1 -> 24
1 1 1 -> 16

46 0
0 0 0 -> 44

47 1
0 0 0 -> 17
1 0 0 -> 14
0 1 0 -> 19
1 1 0 -> 20
0 1 1 -> 21

48 1
0 0 0 -> 14
1 0 0 -> 50
0 1 0 -> 14
1 1 0 -> 14
0 1 1 -> 22
1 1 1 -> 52

49 1
0 0 0 -> 14
1 0 0 -> 18
0 1 0 -> 14
1 1 0 -> 14
1 1 1 -> 22

50 1
0 0 0 -> 14
1 0 0 -> 48
0 1 0 -> 14
1 1 0 -> 14
0 0 1 -> 24

51 0
1 0 1 -> 24

52 0
1 1 0 -> 24
0 0 1 -> 24
1 0 1 -> 24

53 1
0 0 0 -> 20
1 0 0 -> 14
0 1 0 -> 45
1 1 0 -> 47

54 1
0 0 0 -> 80
1 0 0 -> 81
0 1 0 -> 61
1 1 0 -> 82
0 0 1 -> 28
1 0 1 -> 29

55 1
0 0 0 -> 30
1 0 0 -> 31
0 1 0 -> 14
1 1 0 -> 83
0 0 1 -> 32
1 0 1 -> 33
1 1 1 -> 43

56 1
0 0 0 -> 14
1 0 0 -> 71
0 1 0 -> 14
1 1 0 -> 14

57 1
0 0 0 -> 84
1 0 0 -> 85
0 1 0 -> 14
1 1 0 -> 14
0 1 1 -> 51
1 1 1 -> 22

58 1
0 0 0 -> 28
1 0 0 -> 29
0 0 1 -> 28
1 0 1 -> 29

59 1
0 0 0 -> 32
1 0 0 -> 33
1 1 0 -> 43
0 0 1 -> 32
1 0 1 -> 33
1 1 1 -> 43

60 0
1 1 1 -> 46

61 1
0 0 0 -> 82
1 0 0 -> 14
0 1 0 -> 36
1 1 0 -> 72
0 1 1 -> 86
1 1 1 -> 6

62 1
0 0 0 -> 14
1 0 0 -> 75
0 1 0 -> 73
1 1 0 -> 74
1 0 1 -> 23

63 1
1 0 0 -> 23
1 0 1 -> 23

64 1
0 0 0 -> 87
1 0 0 -> 88
0 1 0 -> 14
1 1 0 -> 14
0 0 1 -> 89
1 0 1 -> 5

65 1
0 0 0 -> 68
1 0 0 -> 8
0 1 0 -> 14
1 1 0 -> 75
0 0 1 -> 11
1 0 1 -> 12
1 1 1 -> 90

66 1
0 0 0 -> 89
1 0 0 -> 5
0 0 1 -> 89
1 0 1 -> 5

67 1
0 0 0 -> 11
1 0 0 -> 12
1 1 0 -> 90
0 0 1 -> 11
1 0 1 -> 12
1 1 1 -> 90

68 1
0 0 0 -> 25
1 0 0 -> 25
0 1 0 -> 80
1 1 0 -> 81
0 0 1 -> 25
1 0 1 -> 25
0 1 1 -> 28
1 1 1 -> 29

69 1
0 0 0 -> 34
1 0 0 -> 70
0 1 0 -> 14
1 1 0 -> 36
0 1 1 -> 22
1 1 1 -> 37

70 1
0 0 0 -> 14
1 0 0 -> 14
0 1 0 -> 40
1 1 0 -> 41

71 1
0 0 0 -> 14
1 0 0 -> 56
0 1 0 -> 14
1 1 0 -> 14
0 0 1 -> 24

72 1
0 0 0 -> 38
1 0 0 -> 91
0 1 0 -> 14
1 1 0 -> 14
1 1 1 -> 44

73 1
0 0 0 -> 74
1 0 0 -> 14
0 1 0 -> 56
1 1 0 -> 57
0 1 1 -> 60
1 1 1 -> 21

74 1
0 0 0 -> 14
1 0 0 -> 14
0 1 0 -> 61
1 1 0 -> 82

75 1
0 0 0 -> 14
1 0 0 -> 83
0 1 0 -> 14
1 1 0 -> 14
1 0 1 -> 43

76 1
0 0 0 -> 84
1 0 0 -> 85
0 1 0 -> 14
1 1 0 -> 14
0 1 1 -> 22
1 1 1 -> 22

77 1
0 0 0 -> 40
1 0 0 -> 41
0 1 0 -> 14
1 1 0 -> 49

78 1
0 0 0 -> 14
1 0 0 -> 18
0 1 0 -> 14
1 1 0 -> 14
1 1 1 -> 51

79 0
0 1 1 -> 46
1 1 1 -> 24

80 1
0 0 0 -> 92
1 0 0 -> 55
0 1 0 -> 14
1 1 0 -> 14
0 0 1 -> 58
1 0 1 -> 59

81 1
0 0 0 -> 30
1 0 0 -> 31
0 1 0 -> 14
1 1 0 -> 93
0 0 1 -> 32
1 0 1 -> 33
1 1 1 -> 63

82 1
0 0 0 -> 14
1 0 0 -> 14
0 1 0 -> 73
1 1 0 -> 74

83 1
0 0 0 -> 14
1 0 0 -> 75
0 1 0 -> 14
1 1 0 -> 14
0 0 1 -> 24
1 0 1 -> 23

84 1
0 0 0 -> 76
1 0 0 -> 61
0 1 0 -> 14
1 1 0 -> 14

85 1
0 0 0 -> 82
1 0 0 -> 14
0 1 0 -> 71
1 1 0 -> 72

86 0
1 1 0 -> 24

87 1
0 0 0 -> 64
1 0 0 -> 65
0 1 0 -> 14
1 1 0 -> 14
0 0 1 -> 66
1 0 1 -> 67

88 1
0 0 0 -> 68
1 0 0 -> 8
0 1 0 -> 14
1 1 0 -> 75
0 0 1 -> 11
1 0 1 -> 12
1 1 1 -> 23

89 1
0 0 0 -> 66
1 0 0 -> 67
0 0 1 -> 66
1 0 1 -> 67

90 0
1 0 0 -> 43
1 0 1 -> 43

91 1
0 0 0 -> 74
1 0 0 -> 14
0 1 0 -> 56
1 1 0 -> 76

92 1
0 0 0 -> 80
1 0 0 -> 81
0 1 0 -> 14
1 1 0 -> 14
0 0 1 -> 28
1 0 1 -> 29

93 1
0 0 0 -> 14
1 0 0 -> 75
0 1 0 -> 14
1 1 0 -> 14
1 0 1 -> 23
