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 -> 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 -> 21
1 0 0 -> 5
0 1 0 -> 6
0 0 1 -> 21
1 0 1 -> 5

5 1
0 0 0 -> 11
1 0 0 -> 12
1 1 0 -> 22
0 0 1 -> 11
1 0 1 -> 12
1 1 1 -> 22

6 0
0 1 0 -> 23
1 1 0 -> 23

7 1
0 0 0 -> 24
1 0 0 -> 24
0 1 0 -> 25
1 1 0 -> 26
0 0 1 -> 24
1 0 1 -> 24
0 1 1 -> 27
1 1 1 -> 28

8 1
0 0 0 -> 24
1 0 0 -> 24
0 1 0 -> 29
1 1 0 -> 8
0 0 1 -> 24
1 0 1 -> 24
0 1 1 -> 11
1 1 1 -> 12

9 1
0 0 0 -> 30
1 0 0 -> 31
0 1 0 -> 16
1 1 0 -> 32

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

11 1
0 0 0 -> 24
1 0 0 -> 24
0 1 0 -> 27
1 1 0 -> 28
0 0 1 -> 24
1 0 1 -> 24
0 1 1 -> 27
1 1 1 -> 28

12 1
0 0 0 -> 24
1 0 0 -> 24
0 1 0 -> 11
1 1 0 -> 12
0 0 1 -> 24
1 0 1 -> 24
0 1 1 -> 11
1 1 1 -> 12

13 0
1 0 0 -> 37
0 1 0 -> 23
1 1 0 -> 23
1 0 1 -> 37

14 1
0 0 0 -> 16
1 0 0 -> 16
0 1 0 -> 16
1 1 0 -> 16
1 0 1 -> 38

15 1
0 0 0 -> 16
1 0 0 -> 39
0 1 0 -> 16
1 1 0 -> 14
0 0 1 -> 40
1 0 1 -> 41

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 -> 42
1 0 1 -> 38

18 1
0 0 0 -> 16
1 0 0 -> 43
0 1 0 -> 16
1 1 0 -> 16
0 0 1 -> 44
1 0 1 -> 6

19 1
0 0 0 -> 16
1 0 0 -> 45
0 1 0 -> 16
1 1 0 -> 16
0 0 1 -> 46

20 1
0 0 0 -> 42
1 0 0 -> 16
0 1 0 -> 19
1 1 0 -> 20

21 1
0 0 0 -> 21
1 0 0 -> 5
0 0 1 -> 21
1 0 1 -> 5

22 0
1 0 0 -> 37
1 0 1 -> 37

23 1

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

25 1
0 0 0 -> 47
1 0 0 -> 48
0 1 0 -> 32
1 1 0 -> 49
0 0 1 -> 50
1 0 1 -> 51

26 1
0 0 0 -> 52
1 0 0 -> 53
0 1 0 -> 54
1 1 0 -> 55
0 0 1 -> 56
1 0 1 -> 57
1 1 1 -> 58

27 1
0 0 0 -> 50
1 0 0 -> 51
0 0 1 -> 50
1 0 1 -> 51

28 1
0 0 0 -> 56
1 0 0 -> 57
1 1 0 -> 58
0 0 1 -> 56
1 0 1 -> 57
1 1 1 -> 58

29 1
0 0 0 -> 24
1 0 0 -> 24
0 1 0 -> 59
1 1 0 -> 60
0 0 1 -> 24
1 0 1 -> 24
0 1 1 -> 27
1 1 1 -> 28

30 1
0 0 0 -> 61
1 0 0 -> 36
0 1 0 -> 14
1 1 0 -> 18
1 0 1 -> 38

31 1
0 0 0 -> 16
1 0 0 -> 62
0 1 0 -> 63
1 1 0 -> 64
0 0 1 -> 44
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 -> 46

33 1
0 0 0 -> 67
1 0 0 -> 54
0 1 0 -> 16
1 1 0 -> 14
0 0 1 -> 41

34 1
0 0 0 -> 68
1 0 0 -> 69
0 1 0 -> 70
1 1 0 -> 33
1 0 1 -> 22

35 1
0 0 0 -> 71
1 0 0 -> 64
0 1 0 -> 16
1 1 0 -> 32

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

37 1
1 0 0 -> 22
1 0 1 -> 22

38 0
1 0 1 -> 46

39 1
0 0 0 -> 72
1 0 0 -> 15
0 1 0 -> 16
1 1 0 -> 16

40 0
1 1 0 -> 23
0 0 1 -> 73

41 0
0 1 0 -> 23

42 1
0 0 0 -> 20
1 0 0 -> 16
0 1 0 -> 15
1 1 0 -> 42

43 1
0 0 0 -> 72
1 0 0 -> 18
0 1 0 -> 16
1 1 0 -> 16

44 0
0 0 1 -> 73

45 1
0 0 0 -> 16
1 0 0 -> 19
0 1 0 -> 16
1 1 0 -> 72

46 1
1 0 0 -> 23

47 1
0 0 0 -> 59
1 0 0 -> 60
0 1 0 -> 74
1 1 0 -> 75
0 0 1 -> 27
1 0 1 -> 28

48 1
0 0 0 -> 29
1 0 0 -> 8
0 1 0 -> 16
1 1 0 -> 76
0 0 1 -> 11
1 0 1 -> 12
1 1 1 -> 37

49 1
0 0 0 -> 77
1 0 0 -> 74
0 1 0 -> 16
1 1 0 -> 16

50 1
0 0 0 -> 27
1 0 0 -> 28
0 0 1 -> 27
1 0 1 -> 28

51 1
0 0 0 -> 11
1 0 0 -> 12
1 1 0 -> 37
0 0 1 -> 11
1 0 1 -> 12
1 1 1 -> 37

52 1
0 0 0 -> 24
1 0 0 -> 24
0 1 0 -> 78
1 1 0 -> 48
0 0 1 -> 24
1 0 1 -> 24
0 1 1 -> 50
1 1 1 -> 51

53 1
0 0 0 -> 24
1 0 0 -> 24
0 1 0 -> 52
1 1 0 -> 53
0 0 1 -> 24
1 0 1 -> 24
0 1 1 -> 56
1 1 1 -> 57

54 1
0 0 0 -> 75
1 0 0 -> 16
0 1 0 -> 32
1 1 0 -> 49

55 1
0 0 0 -> 16
1 0 0 -> 79
0 1 0 -> 54
1 1 0 -> 68
0 0 1 -> 23
1 0 1 -> 80

56 1
0 0 0 -> 24
1 0 0 -> 24
0 1 0 -> 50
1 1 0 -> 51
0 0 1 -> 24
1 0 1 -> 24
0 1 1 -> 50
1 1 1 -> 51

57 1
0 0 0 -> 24
1 0 0 -> 24
0 1 0 -> 56
1 1 0 -> 57
0 0 1 -> 24
1 0 1 -> 24
0 1 1 -> 56
1 1 1 -> 57

58 0
0 0 0 -> 23
1 0 0 -> 80
0 0 1 -> 23
1 0 1 -> 80

59 1
0 0 0 -> 78
1 0 0 -> 48
0 1 0 -> 16
1 1 0 -> 16
0 0 1 -> 50
1 0 1 -> 51

60 1
0 0 0 -> 52
1 0 0 -> 53
0 1 0 -> 16
1 1 0 -> 81
0 0 1 -> 56
1 0 1 -> 57
1 1 1 -> 58

61 1
0 0 0 -> 63
1 0 0 -> 64
0 1 0 -> 16
1 1 0 -> 32

62 1
0 0 0 -> 72
1 0 0 -> 70
0 1 0 -> 16
1 1 0 -> 16

63 1
0 0 0 -> 61
1 0 0 -> 36
0 1 0 -> 14
1 1 0 -> 18

64 1
0 0 0 -> 16
1 0 0 -> 16
0 1 0 -> 63
1 1 0 -> 64

65 0
1 1 0 -> 23

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

67 1
0 0 0 -> 33
1 0 0 -> 74
0 1 0 -> 16
1 1 0 -> 16

68 1
0 0 0 -> 16
1 0 0 -> 16
0 1 0 -> 54
1 1 0 -> 68

69 1
0 0 0 -> 16
1 0 0 -> 76
0 1 0 -> 16
1 1 0 -> 16
1 0 1 -> 37

70 1
0 0 0 -> 16
1 0 0 -> 62
0 1 0 -> 16
1 1 0 -> 16
0 0 1 -> 44
1 0 1 -> 65

71 1
0 0 0 -> 35
1 0 0 -> 36
0 1 0 -> 72
1 1 0 -> 18

72 1
0 0 0 -> 16
1 0 0 -> 16
0 1 0 -> 16
1 1 0 -> 16
1 0 1 -> 82

73 1
0 0 0 -> 23
1 0 0 -> 23

74 1
0 0 0 -> 68
1 0 0 -> 16
0 1 0 -> 70
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 -> 69
0 1 0 -> 16
1 1 0 -> 16
1 0 1 -> 22

77 1
0 0 0 -> 49
1 0 0 -> 54
0 1 0 -> 16
1 1 0 -> 72

78 1
0 0 0 -> 59
1 0 0 -> 60
0 1 0 -> 16
1 1 0 -> 16
0 0 1 -> 27
1 0 1 -> 28

79 1
0 0 0 -> 16
1 0 0 -> 81
0 1 0 -> 16
1 1 0 -> 16
1 0 1 -> 58

80 1
1 0 0 -> 58
1 0 1 -> 58

81 1
0 0 0 -> 16
1 0 0 -> 79
0 1 0 -> 16
1 1 0 -> 16
0 0 1 -> 23
1 0 1 -> 80

82 0
0 0 1 -> 46
1 0 1 -> 73
