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 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
0 1 1 -> 6
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

4 1
0 0 0 -> 22
1 0 0 -> 5
0 1 0 -> 6
0 0 1 -> 22
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
1 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 -> 37
1 1 1 -> 38

10 1
0 0 0 -> 39
1 0 0 -> 40
0 1 0 -> 41
1 1 0 -> 42
1 0 1 -> 43
1 1 1 -> 37

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 0
1 0 0 -> 43
0 1 0 -> 24
1 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 -> 44
0 1 0 -> 14
1 1 0 -> 14

16 0
0 0 0 -> 45
1 0 0 -> 24
1 1 1 -> 45

17 1
0 0 0 -> 46
1 0 0 -> 14
0 1 0 -> 47
1 1 0 -> 20

18 1
0 0 0 -> 14
1 0 0 -> 48
0 1 0 -> 14
1 1 0 -> 14

19 1
0 0 0 -> 14
1 0 0 -> 49
0 1 0 -> 14
1 1 0 -> 14
0 1 1 -> 50
1 1 1 -> 51

20 1
0 0 0 -> 52
1 0 0 -> 14
0 1 0 -> 2
1 1 0 -> 46
0 1 1 -> 53

21 0
0 1 1 -> 24

22 1
0 0 0 -> 22
1 0 0 -> 5
0 0 1 -> 22
1 0 1 -> 5

23 0
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 -> 18
1 1 0 -> 56
0 0 1 -> 57
1 0 1 -> 58
0 1 1 -> 59
1 1 1 -> 21

27 1
0 0 0 -> 30
1 0 0 -> 31
0 1 0 -> 60
1 1 0 -> 61
0 0 1 -> 32
1 0 1 -> 33
1 1 1 -> 62

28 1
0 0 0 -> 57
1 0 0 -> 58
0 0 1 -> 57
1 0 1 -> 58

29 1
0 0 0 -> 32
1 0 0 -> 33
1 1 0 -> 62
0 0 1 -> 32
1 0 1 -> 33
1 1 1 -> 62

30 1
0 0 0 -> 25
1 0 0 -> 25
0 1 0 -> 63
1 1 0 -> 64
0 0 1 -> 25
1 0 1 -> 25
0 1 1 -> 65
1 1 1 -> 66

31 1
0 0 0 -> 25
1 0 0 -> 25
0 1 0 -> 67
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 -> 65
1 1 0 -> 66
0 0 1 -> 25
1 0 1 -> 25
0 1 1 -> 65
1 1 1 -> 66

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 -> 68
1 0 0 -> 69
0 1 0 -> 14
1 1 0 -> 70

35 1
0 0 0 -> 14
1 0 0 -> 48
0 1 0 -> 41
1 1 0 -> 42

36 1
0 0 0 -> 14
1 0 0 -> 71
0 1 0 -> 14
1 1 0 -> 14
1 1 1 -> 50

37 0
0 0 0 -> 45
1 0 0 -> 24

38 0
0 1 1 -> 45
1 1 1 -> 24

39 1
0 0 0 -> 72
1 0 0 -> 73
0 1 0 -> 14
1 1 0 -> 14

40 1
0 0 0 -> 74
1 0 0 -> 75
0 1 0 -> 18
1 1 0 -> 76
1 0 1 -> 77

41 1
0 0 0 -> 78
1 0 0 -> 42
0 1 0 -> 14
1 1 0 -> 79
0 1 1 -> 80
1 1 1 -> 6

42 1
0 0 0 -> 14
1 0 0 -> 14
0 1 0 -> 68
1 1 0 -> 69

43 1
1 0 0 -> 77
1 0 1 -> 77

44 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

45 0
0 0 0 -> 37

46 1
0 0 0 -> 17
1 0 0 -> 14
0 1 0 -> 19
1 1 0 -> 20
0 1 1 -> 21

47 1
0 0 0 -> 14
1 0 0 -> 49
0 1 0 -> 14
1 1 0 -> 14
0 1 1 -> 80
1 1 1 -> 51

48 1
0 0 0 -> 14
1 0 0 -> 18
0 1 0 -> 14
1 1 0 -> 14
0 0 1 -> 24

49 1
0 0 0 -> 14
1 0 0 -> 47
0 1 0 -> 14
1 1 0 -> 14
0 0 1 -> 24

50 0
1 0 1 -> 24

51 0
1 1 0 -> 24
0 0 1 -> 24
1 0 1 -> 24

52 1
0 0 0 -> 20
1 0 0 -> 14
0 1 0 -> 44
1 1 0 -> 46

53 0
0 1 0 -> 24

54 1
0 0 0 -> 81
1 0 0 -> 82
0 1 0 -> 60
1 1 0 -> 83
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 -> 84
0 0 1 -> 32
1 0 1 -> 33
1 1 1 -> 43

56 1
0 0 0 -> 85
1 0 0 -> 86
0 1 0 -> 14
1 1 0 -> 14
0 1 1 -> 50
1 1 1 -> 80

57 1
0 0 0 -> 28
1 0 0 -> 29
0 0 1 -> 28
1 0 1 -> 29

58 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

59 0
1 1 1 -> 45

60 1
0 0 0 -> 83
1 0 0 -> 14
0 1 0 -> 79
1 1 0 -> 72
0 1 1 -> 87
1 1 1 -> 53

61 1
0 0 0 -> 14
1 0 0 -> 75
0 1 0 -> 73
1 1 0 -> 74
1 0 1 -> 77

62 0
1 0 0 -> 77
1 0 1 -> 77

63 1
0 0 0 -> 88
1 0 0 -> 89
0 1 0 -> 14
1 1 0 -> 14
0 0 1 -> 90
1 0 1 -> 91

64 1
0 0 0 -> 67
1 0 0 -> 8
0 1 0 -> 14
1 1 0 -> 92
0 0 1 -> 11
1 0 1 -> 12
1 1 1 -> 93

65 1
0 0 0 -> 90
1 0 0 -> 91
0 0 1 -> 90
1 0 1 -> 91

66 1
0 0 0 -> 11
1 0 0 -> 12
1 1 0 -> 93
0 0 1 -> 11
1 0 1 -> 12
1 1 1 -> 93

67 1
0 0 0 -> 25
1 0 0 -> 25
0 1 0 -> 81
1 1 0 -> 82
0 0 1 -> 25
1 0 1 -> 25
0 1 1 -> 28
1 1 1 -> 29

68 1
0 0 0 -> 34
1 0 0 -> 69
0 1 0 -> 14
1 1 0 -> 36
0 1 1 -> 37
1 1 1 -> 38

69 1
0 0 0 -> 14
1 0 0 -> 14
0 1 0 -> 41
1 1 0 -> 42

70 1
0 0 0 -> 14
1 0 0 -> 71
0 1 0 -> 14
1 1 0 -> 14
1 1 1 -> 80

71 1
0 0 0 -> 14
1 0 0 -> 70
0 1 0 -> 14
1 1 0 -> 14
0 0 1 -> 24

72 1
0 0 0 -> 39
1 0 0 -> 94
0 1 0 -> 14
1 1 0 -> 14
1 1 1 -> 37

73 1
0 0 0 -> 74
1 0 0 -> 14
0 1 0 -> 18
1 1 0 -> 56
0 1 1 -> 59
1 1 1 -> 21

74 1
0 0 0 -> 14
1 0 0 -> 14
0 1 0 -> 60
1 1 0 -> 83

75 1
0 0 0 -> 14
1 0 0 -> 84
0 1 0 -> 14
1 1 0 -> 14
0 0 1 -> 24
1 0 1 -> 43

76 1
0 0 0 -> 85
1 0 0 -> 86
0 1 0 -> 14
1 1 0 -> 14
0 1 1 -> 80
1 1 1 -> 80

77 0
0 0 0 -> 24
1 0 0 -> 43
0 0 1 -> 24
1 0 1 -> 43

78 1
0 0 0 -> 41
1 0 0 -> 42
0 1 0 -> 14
1 1 0 -> 48

79 1
0 0 0 -> 14
1 0 0 -> 18
0 1 0 -> 14
1 1 0 -> 14

80 0
0 0 1 -> 24
1 0 1 -> 24

81 1
0 0 0 -> 95
1 0 0 -> 55
0 1 0 -> 14
1 1 0 -> 14
0 0 1 -> 57
1 0 1 -> 58

82 1
0 0 0 -> 30
1 0 0 -> 31
0 1 0 -> 14
1 1 0 -> 84
0 0 1 -> 32
1 0 1 -> 33
1 1 1 -> 62

83 1
0 0 0 -> 14
1 0 0 -> 14
0 1 0 -> 73
1 1 0 -> 74

84 1
0 0 0 -> 14
1 0 0 -> 75
0 1 0 -> 14
1 1 0 -> 14
1 0 1 -> 77

85 1
0 0 0 -> 76
1 0 0 -> 60
0 1 0 -> 14
1 1 0 -> 14

86 1
0 0 0 -> 83
1 0 0 -> 14
0 1 0 -> 48
1 1 0 -> 72

87 0
1 1 0 -> 24

88 1
0 0 0 -> 63
1 0 0 -> 64
0 1 0 -> 14
1 1 0 -> 14
0 0 1 -> 65
1 0 1 -> 66

89 1
0 0 0 -> 67
1 0 0 -> 8
0 1 0 -> 14
1 1 0 -> 75
0 0 1 -> 11
1 0 1 -> 12
1 1 1 -> 77

90 1
0 0 0 -> 65
1 0 0 -> 66
0 0 1 -> 65
1 0 1 -> 66

91 1
0 0 0 -> 11
1 0 0 -> 12
1 1 0 -> 77
0 0 1 -> 11
1 0 1 -> 12
1 1 1 -> 77

92 1
0 0 0 -> 14
1 0 0 -> 84
0 1 0 -> 14
1 1 0 -> 14
1 0 1 -> 43

93 1
1 0 0 -> 43
1 0 1 -> 43

94 1
0 0 0 -> 74
1 0 0 -> 14
0 1 0 -> 18
1 1 0 -> 76

95 1
0 0 0 -> 81
1 0 0 -> 82
0 1 0 -> 14
1 1 0 -> 14
0 0 1 -> 28
1 0 1 -> 29
