msd_2 msd_2 msd_2

0 1
0 0 0 -> 0
1 0 0 -> 1
0 1 0 -> 2
1 1 0 -> 3
1 0 1 -> 4
0 1 1 -> 5
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 -> 4
1 0 1 -> 11
0 1 1 -> 12
1 1 1 -> 13

2 1
0 0 0 -> 14
1 0 0 -> 15
0 1 0 -> 16
1 1 0 -> 17
0 0 1 -> 5
1 0 1 -> 18
0 1 1 -> 19
1 1 1 -> 13

3 0
0 0 0 -> 20
1 0 0 -> 21
0 1 0 -> 22
1 1 0 -> 23
0 0 1 -> 24
1 0 1 -> 25
0 1 1 -> 26
1 1 1 -> 27

4 0
0 1 0 -> 28

5 0
1 0 0 -> 29

6 1
0 0 0 -> 30
1 0 0 -> 29
0 1 0 -> 28
1 1 1 -> 31

7 1
0 0 0 -> 32
1 0 0 -> 33
0 1 0 -> 34
1 1 0 -> 35
0 0 1 -> 4
1 0 1 -> 4
0 1 1 -> 26
1 1 1 -> 6

8 1
0 0 0 -> 33
1 0 0 -> 36
0 1 0 -> 37
1 1 0 -> 38
0 0 1 -> 4
1 0 1 -> 4
0 1 1 -> 39
1 1 1 -> 6

9 0
0 0 0 -> 40
1 0 0 -> 41
0 1 0 -> 42
1 1 0 -> 43
0 0 1 -> 24
1 0 1 -> 44
0 1 1 -> 12
1 1 1 -> 45

10 0
0 0 0 -> 46
1 0 0 -> 47
0 1 0 -> 43
1 1 0 -> 48
0 0 1 -> 49
1 0 1 -> 18
0 1 1 -> 50
1 1 1 -> 51

11 0
0 1 0 -> 31

12 0
0 0 0 -> 30
1 0 0 -> 31
0 1 0 -> 11
1 1 1 -> 31

13 1
0 0 0 -> 31
1 0 0 -> 29
0 1 0 -> 28
1 1 1 -> 31

14 1
0 0 0 -> 52
1 0 0 -> 53
0 1 0 -> 54
1 1 0 -> 55
0 0 1 -> 5
1 0 1 -> 25
0 1 1 -> 5
1 1 1 -> 6

15 0
0 0 0 -> 40
1 0 0 -> 56
0 1 0 -> 57
1 1 0 -> 58
0 0 1 -> 24
1 0 1 -> 18
0 1 1 -> 44
1 1 1 -> 49

16 1
0 0 0 -> 54
1 0 0 -> 59
0 1 0 -> 60
1 1 0 -> 38
0 0 1 -> 5
1 0 1 -> 61
0 1 1 -> 5
1 1 1 -> 6

17 0
0 0 0 -> 62
1 0 0 -> 58
0 1 0 -> 63
1 1 0 -> 48
0 0 1 -> 45
1 0 1 -> 64
0 1 1 -> 12
1 1 1 -> 51

18 0
0 0 0 -> 30
1 0 0 -> 19
0 1 0 -> 31
1 1 1 -> 31

19 0
1 0 0 -> 31

20 0
0 0 0 -> 65
1 0 0 -> 38
0 1 0 -> 38
1 1 0 -> 66
0 0 1 -> 24
1 0 1 -> 25
0 1 1 -> 26
1 1 1 -> 44

21 0
0 0 0 -> 47
1 0 0 -> 38
0 1 0 -> 67
1 1 0 -> 47
0 0 1 -> 68
1 0 1 -> 25
0 1 1 -> 69
1 1 1 -> 39

22 0
0 0 0 -> 63
1 0 0 -> 67
0 1 0 -> 38
1 1 0 -> 63
0 0 1 -> 70
1 0 1 -> 71
0 1 1 -> 26
1 1 1 -> 61

23 0
0 0 0 -> 66
1 0 0 -> 67
0 1 0 -> 67
1 1 0 -> 72
0 0 1 -> 73
1 0 1 -> 71
0 1 1 -> 69
1 1 1 -> 27

24 0
0 0 0 -> 74
1 0 0 -> 19
0 1 0 -> 11
1 1 1 -> 31

25 0
0 0 0 -> 30
1 0 0 -> 19
0 1 0 -> 28
1 1 1 -> 31

26 0
0 0 0 -> 30
1 0 0 -> 29
0 1 0 -> 11
1 1 1 -> 31

27 0
0 0 0 -> 30
1 0 0 -> 29
0 1 0 -> 28
1 1 1 -> 31

28 1
0 1 0 -> 31

29 1
1 0 0 -> 31

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

31 1

32 1
0 0 0 -> 75
1 0 0 -> 33
0 1 0 -> 76
1 1 0 -> 38
0 0 1 -> 4
1 0 1 -> 4
0 1 1 -> 26
1 1 1 -> 6

33 1
0 0 0 -> 33
1 0 0 -> 33
0 1 0 -> 38
1 1 0 -> 38
0 0 1 -> 4
1 0 1 -> 4
0 1 1 -> 26
1 1 1 -> 6

34 0
0 0 0 -> 38
1 0 0 -> 38
0 1 0 -> 38
1 1 0 -> 63
0 0 1 -> 24
1 0 1 -> 25
0 1 1 -> 26
1 1 1 -> 61

35 0
0 0 0 -> 47
1 0 0 -> 38
0 1 0 -> 67
1 1 0 -> 77
0 0 1 -> 68
1 0 1 -> 25
0 1 1 -> 69
1 1 1 -> 61

36 1
0 0 0 -> 33
1 0 0 -> 78
0 1 0 -> 38
1 1 0 -> 76
0 0 1 -> 4
1 0 1 -> 4
0 1 1 -> 26
1 1 1 -> 6

37 0
0 0 0 -> 47
1 0 0 -> 38
0 1 0 -> 79
1 1 0 -> 38
0 0 1 -> 68
1 0 1 -> 25
0 1 1 -> 49
1 1 1 -> 27

38 0
0 0 0 -> 38
1 0 0 -> 38
0 1 0 -> 38
1 1 0 -> 38
0 0 1 -> 24
1 0 1 -> 25
0 1 1 -> 26
1 1 1 -> 27

39 0
0 0 0 -> 30
1 0 0 -> 29
0 1 0 -> 31
1 1 1 -> 31

40 0
0 0 0 -> 40
1 0 0 -> 47
0 1 0 -> 63
1 1 0 -> 67
0 0 1 -> 24
1 0 1 -> 18
0 1 1 -> 12
1 1 1 -> 51

41 0
0 0 0 -> 38
1 0 0 -> 80
0 1 0 -> 47
1 1 0 -> 38
0 0 1 -> 24
1 0 1 -> 61
0 1 1 -> 39
1 1 1 -> 27

42 0
0 0 0 -> 38
1 0 0 -> 66
0 1 0 -> 42
1 1 0 -> 67
0 0 1 -> 24
1 0 1 -> 44
0 1 1 -> 12
1 1 1 -> 51

43 0
0 0 0 -> 67
1 0 0 -> 63
0 1 0 -> 38
1 1 0 -> 38
0 0 1 -> 51
1 0 1 -> 61
0 1 1 -> 26
1 1 1 -> 27

44 0
0 0 0 -> 30
1 0 0 -> 31
0 1 0 -> 31
1 1 1 -> 31

45 0
0 0 0 -> 31
1 0 0 -> 31
0 1 0 -> 28
1 1 1 -> 31

46 0
0 0 0 -> 81
1 0 0 -> 38
0 1 0 -> 47
1 1 0 -> 38
0 0 1 -> 51
1 0 1 -> 25
0 1 1 -> 39
1 1 1 -> 27

47 0
0 0 0 -> 38
1 0 0 -> 38
0 1 0 -> 47
1 1 0 -> 38
0 0 1 -> 24
1 0 1 -> 25
0 1 1 -> 39
1 1 1 -> 27

48 0
0 0 0 -> 67
1 0 0 -> 47
0 1 0 -> 63
1 1 0 -> 48
0 0 1 -> 51
1 0 1 -> 18
0 1 1 -> 12
1 1 1 -> 51

49 0
0 0 0 -> 31
1 0 0 -> 29
0 1 0 -> 31
1 1 1 -> 31

50 0
0 0 0 -> 31
1 0 0 -> 31
0 1 0 -> 11
1 1 1 -> 31

51 0
0 0 0 -> 31
1 0 0 -> 29
0 1 0 -> 28
1 1 1 -> 31

52 1
0 0 0 -> 82
1 0 0 -> 76
0 1 0 -> 54
1 1 0 -> 38
0 0 1 -> 5
1 0 1 -> 25
0 1 1 -> 5
1 1 1 -> 6

53 0
0 0 0 -> 38
1 0 0 -> 38
0 1 0 -> 38
1 1 0 -> 47
0 0 1 -> 24
1 0 1 -> 25
0 1 1 -> 26
1 1 1 -> 39

54 1
0 0 0 -> 54
1 0 0 -> 38
0 1 0 -> 54
1 1 0 -> 38
0 0 1 -> 5
1 0 1 -> 25
0 1 1 -> 5
1 1 1 -> 6

55 0
0 0 0 -> 63
1 0 0 -> 67
0 1 0 -> 38
1 1 0 -> 83
0 0 1 -> 70
1 0 1 -> 71
0 1 1 -> 26
1 1 1 -> 39

56 0
0 0 0 -> 38
1 0 0 -> 56
0 1 0 -> 66
1 1 0 -> 67
0 0 1 -> 24
1 0 1 -> 18
0 1 1 -> 44
1 1 1 -> 51

57 0
0 0 0 -> 38
1 0 0 -> 63
0 1 0 -> 84
1 1 0 -> 38
0 0 1 -> 24
1 0 1 -> 61
0 1 1 -> 39
1 1 1 -> 27

58 0
0 0 0 -> 67
1 0 0 -> 38
0 1 0 -> 47
1 1 0 -> 38
0 0 1 -> 51
1 0 1 -> 25
0 1 1 -> 39
1 1 1 -> 27

59 0
0 0 0 -> 63
1 0 0 -> 85
0 1 0 -> 38
1 1 0 -> 38
0 0 1 -> 70
1 0 1 -> 45
0 1 1 -> 26
1 1 1 -> 27

60 1
0 0 0 -> 54
1 0 0 -> 38
0 1 0 -> 86
1 1 0 -> 76
0 0 1 -> 5
1 0 1 -> 25
0 1 1 -> 5
1 1 1 -> 6

61 0
0 0 0 -> 30
1 0 0 -> 31
0 1 0 -> 28
1 1 1 -> 31

62 0
0 0 0 -> 87
1 0 0 -> 63
0 1 0 -> 38
1 1 0 -> 38
0 0 1 -> 51
1 0 1 -> 61
0 1 1 -> 26
1 1 1 -> 27

63 0
0 0 0 -> 38
1 0 0 -> 63
0 1 0 -> 38
1 1 0 -> 38
0 0 1 -> 24
1 0 1 -> 61
0 1 1 -> 26
1 1 1 -> 27

64 0
0 0 0 -> 31
1 0 0 -> 19
0 1 0 -> 31
1 1 1 -> 31

65 0
0 0 0 -> 20
1 0 0 -> 88
0 1 0 -> 89
1 1 0 -> 38
0 0 1 -> 24
1 0 1 -> 25
0 1 1 -> 26
1 1 1 -> 27

66 0
0 0 0 -> 38
1 0 0 -> 63
0 1 0 -> 47
1 1 0 -> 38
0 0 1 -> 24
1 0 1 -> 61
0 1 1 -> 39
1 1 1 -> 27

67 0
0 0 0 -> 67
1 0 0 -> 38
0 1 0 -> 38
1 1 0 -> 38
0 0 1 -> 51
1 0 1 -> 25
0 1 1 -> 26
1 1 1 -> 27

68 0
0 0 0 -> 74
1 0 0 -> 19
1 1 1 -> 31

69 0
0 0 0 -> 31
1 0 0 -> 29
0 1 0 -> 11
1 1 1 -> 31

70 0
0 0 0 -> 74
0 1 0 -> 11
1 1 1 -> 31

71 0
0 0 0 -> 31
1 0 0 -> 19
0 1 0 -> 28
1 1 1 -> 31

72 0
0 0 0 -> 38
1 0 0 -> 53
0 1 0 -> 34
1 1 0 -> 23
0 0 1 -> 24
1 0 1 -> 25
0 1 1 -> 26
1 1 1 -> 27

73 0
0 0 0 -> 74
1 1 1 -> 31

74 0
0 0 0 -> 31
1 0 0 -> 31
0 1 0 -> 31

75 1
0 0 0 -> 32
1 0 0 -> 33
0 1 0 -> 38
1 1 0 -> 38
0 0 1 -> 4
1 0 1 -> 4
0 1 1 -> 26
1 1 1 -> 6

76 0
0 0 0 -> 38
1 0 0 -> 47
0 1 0 -> 63
1 1 0 -> 67
0 0 1 -> 24
1 0 1 -> 18
0 1 1 -> 12
1 1 1 -> 51

77 0
0 0 0 -> 38
1 0 0 -> 63
0 1 0 -> 38
1 1 0 -> 90
0 0 1 -> 24
1 0 1 -> 61
0 1 1 -> 26
1 1 1 -> 27

78 1
0 0 0 -> 33
1 0 0 -> 36
0 1 0 -> 38
1 1 0 -> 38
0 0 1 -> 4
1 0 1 -> 4
0 1 1 -> 26
1 1 1 -> 6

79 0
0 0 0 -> 67
1 0 0 -> 38
0 1 0 -> 37
1 1 0 -> 38
0 0 1 -> 51
1 0 1 -> 25
0 1 1 -> 39
1 1 1 -> 27

80 0
0 0 0 -> 38
1 0 0 -> 91
0 1 0 -> 38
1 1 0 -> 63
0 0 1 -> 24
1 0 1 -> 61
0 1 1 -> 26
1 1 1 -> 61

81 0
0 0 0 -> 46
1 0 0 -> 38
0 1 0 -> 67
1 1 0 -> 38
0 0 1 -> 49
1 0 1 -> 25
0 1 1 -> 69
1 1 1 -> 27

82 1
0 0 0 -> 52
1 0 0 -> 38
0 1 0 -> 54
1 1 0 -> 38
0 0 1 -> 5
1 0 1 -> 25
0 1 1 -> 5
1 1 1 -> 6

83 0
0 0 0 -> 38
1 0 0 -> 38
0 1 0 -> 47
1 1 0 -> 92
0 0 1 -> 24
1 0 1 -> 25
0 1 1 -> 39
1 1 1 -> 27

84 0
0 0 0 -> 38
1 0 0 -> 38
0 1 0 -> 93
1 1 0 -> 47
0 0 1 -> 24
1 0 1 -> 25
0 1 1 -> 39
1 1 1 -> 39

85 0
0 0 0 -> 67
1 0 0 -> 59
0 1 0 -> 38
1 1 0 -> 38
0 0 1 -> 51
1 0 1 -> 61
0 1 1 -> 26
1 1 1 -> 27

86 1
0 0 0 -> 54
1 0 0 -> 38
0 1 0 -> 60
1 1 0 -> 38
0 0 1 -> 5
1 0 1 -> 25
0 1 1 -> 5
1 1 1 -> 6

87 0
0 0 0 -> 62
1 0 0 -> 67
0 1 0 -> 38
1 1 0 -> 38
0 0 1 -> 45
1 0 1 -> 71
0 1 1 -> 26
1 1 1 -> 27

88 0
0 0 0 -> 47
1 0 0 -> 38
0 1 0 -> 67
1 1 0 -> 38
0 0 1 -> 68
1 0 1 -> 25
0 1 1 -> 69
1 1 1 -> 27

89 0
0 0 0 -> 63
1 0 0 -> 67
0 1 0 -> 38
1 1 0 -> 38
0 0 1 -> 70
1 0 1 -> 71
0 1 1 -> 26
1 1 1 -> 27

90 0
0 0 0 -> 38
1 0 0 -> 38
0 1 0 -> 38
1 1 0 -> 77
0 0 1 -> 24
1 0 1 -> 25
0 1 1 -> 26
1 1 1 -> 61

91 0
0 0 0 -> 38
1 0 0 -> 80
0 1 0 -> 38
1 1 0 -> 38
0 0 1 -> 24
1 0 1 -> 61
0 1 1 -> 26
1 1 1 -> 27

92 0
0 0 0 -> 38
1 0 0 -> 38
0 1 0 -> 38
1 1 0 -> 83
0 0 1 -> 24
1 0 1 -> 25
0 1 1 -> 26
1 1 1 -> 39

93 0
0 0 0 -> 38
1 0 0 -> 38
0 1 0 -> 84
1 1 0 -> 38
0 0 1 -> 24
1 0 1 -> 25
0 1 1 -> 39
1 1 1 -> 27
