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
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 -> 13
1 1 1 -> 14

2 1
0 0 0 -> 15
1 0 0 -> 16
0 1 0 -> 15
1 1 0 -> 17

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

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

6 0
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 -> 15
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 -> 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
0 1 0 -> 23
1 1 0 -> 23

14 1
1 0 0 -> 38
0 1 0 -> 23
1 0 1 -> 38

15 1
0 0 0 -> 15
1 0 0 -> 15
0 1 0 -> 15
1 1 0 -> 15

16 1
0 0 0 -> 15
1 0 0 -> 2
0 1 0 -> 15
1 1 0 -> 15
0 0 1 -> 39

17 1
0 0 0 -> 15
1 0 0 -> 15
0 1 0 -> 15
1 1 0 -> 15
1 0 1 -> 40

18 1
0 0 0 -> 21
1 0 0 -> 15
0 1 0 -> 16
1 1 0 -> 41
1 0 1 -> 42

19 1
0 0 0 -> 15
1 0 0 -> 43
0 1 0 -> 15
1 1 0 -> 15
0 0 1 -> 44
1 0 1 -> 13

20 1
0 0 0 -> 15
1 0 0 -> 45
0 1 0 -> 15
1 1 0 -> 46
0 0 1 -> 47
1 0 1 -> 48

21 1
0 0 0 -> 41
1 0 0 -> 15
0 1 0 -> 20
1 1 0 -> 21

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

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 -> 49
1 0 0 -> 50
0 1 0 -> 32
1 1 0 -> 51
0 0 1 -> 52
1 0 1 -> 53

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
1 1 1 -> 60

27 1
0 0 0 -> 52
1 0 0 -> 53
0 0 1 -> 52
1 0 1 -> 53

28 1
0 0 0 -> 58
1 0 0 -> 59
1 1 0 -> 60
0 0 1 -> 58
1 0 1 -> 59
1 1 1 -> 60

29 1
0 0 0 -> 24
1 0 0 -> 24
0 1 0 -> 61
1 1 0 -> 62
0 0 1 -> 24
1 0 1 -> 24
0 1 1 -> 27
1 1 1 -> 28

30 1
0 0 0 -> 63
1 0 0 -> 36
0 1 0 -> 46
1 1 0 -> 19
1 0 1 -> 42

31 1
0 0 0 -> 15
1 0 0 -> 64
0 1 0 -> 65
1 1 0 -> 66
0 0 1 -> 44
1 0 1 -> 6

32 1
0 0 0 -> 15
1 0 0 -> 67
0 1 0 -> 15
1 1 0 -> 15
0 0 1 -> 39

33 1
0 0 0 -> 68
1 0 0 -> 56
0 1 0 -> 15
1 1 0 -> 46
0 0 1 -> 48

34 1
0 0 0 -> 69
1 0 0 -> 70
0 1 0 -> 71
1 1 0 -> 33
0 0 1 -> 23
1 0 1 -> 22

35 1
0 0 0 -> 72
1 0 0 -> 66
0 1 0 -> 15
1 1 0 -> 32

36 1
0 0 0 -> 15
1 0 0 -> 15
0 1 0 -> 35
1 1 0 -> 36

37 0
1 1 1 -> 23

38 0
0 0 0 -> 23
1 0 0 -> 22
0 0 1 -> 23
1 0 1 -> 22

39 1
1 0 0 -> 23

40 0
0 0 1 -> 39
1 0 1 -> 73

41 1
0 0 0 -> 21
1 0 0 -> 15
0 1 0 -> 16
1 1 0 -> 41

42 0
1 0 1 -> 39

43 1
0 0 0 -> 17
1 0 0 -> 19
0 1 0 -> 15
1 1 0 -> 15

44 0
0 0 1 -> 73

45 1
0 0 0 -> 17
1 0 0 -> 20
0 1 0 -> 15
1 1 0 -> 15

46 1
0 0 0 -> 15
1 0 0 -> 15
0 1 0 -> 15
1 1 0 -> 15
1 0 1 -> 42

47 0
1 1 0 -> 23
0 0 1 -> 73

48 0
0 1 0 -> 23

49 1
0 0 0 -> 61
1 0 0 -> 62
0 1 0 -> 74
1 1 0 -> 75
0 0 1 -> 27
1 0 1 -> 28

50 1
0 0 0 -> 29
1 0 0 -> 8
0 1 0 -> 15
1 1 0 -> 76
0 0 1 -> 11
1 0 1 -> 12
1 1 1 -> 38

51 1
0 0 0 -> 77
1 0 0 -> 74
0 1 0 -> 15
1 1 0 -> 15

52 1
0 0 0 -> 27
1 0 0 -> 28
0 0 1 -> 27
1 0 1 -> 28

53 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

54 1
0 0 0 -> 24
1 0 0 -> 24
0 1 0 -> 78
1 1 0 -> 50
0 0 1 -> 24
1 0 1 -> 24
0 1 1 -> 52
1 1 1 -> 53

55 1
0 0 0 -> 24
1 0 0 -> 24
0 1 0 -> 54
1 1 0 -> 55
0 0 1 -> 24
1 0 1 -> 24
0 1 1 -> 58
1 1 1 -> 59

56 1
0 0 0 -> 75
1 0 0 -> 15
0 1 0 -> 32
1 1 0 -> 51

57 1
0 0 0 -> 15
1 0 0 -> 79
0 1 0 -> 56
1 1 0 -> 69
1 0 1 -> 80

58 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 -> 52
1 1 1 -> 53

59 1
0 0 0 -> 24
1 0 0 -> 24
0 1 0 -> 58
1 1 0 -> 59
0 0 1 -> 24
1 0 1 -> 24
0 1 1 -> 58
1 1 1 -> 59

60 1
1 0 0 -> 80
1 0 1 -> 80

61 1
0 0 0 -> 78
1 0 0 -> 50
0 1 0 -> 15
1 1 0 -> 15
0 0 1 -> 52
1 0 1 -> 53

62 1
0 0 0 -> 54
1 0 0 -> 55
0 1 0 -> 15
1 1 0 -> 81
0 0 1 -> 58
1 0 1 -> 59
1 1 1 -> 60

63 1
0 0 0 -> 65
1 0 0 -> 66
0 1 0 -> 15
1 1 0 -> 32

64 1
0 0 0 -> 17
1 0 0 -> 71
0 1 0 -> 15
1 1 0 -> 15

65 1
0 0 0 -> 63
1 0 0 -> 36
0 1 0 -> 46
1 1 0 -> 19

66 1
0 0 0 -> 15
1 0 0 -> 15
0 1 0 -> 65
1 1 0 -> 66

67 1
0 0 0 -> 15
1 0 0 -> 32
0 1 0 -> 15
1 1 0 -> 15

68 1
0 0 0 -> 33
1 0 0 -> 74
0 1 0 -> 15
1 1 0 -> 15

69 1
0 0 0 -> 15
1 0 0 -> 15
0 1 0 -> 56
1 1 0 -> 69

70 1
0 0 0 -> 15
1 0 0 -> 76
0 1 0 -> 15
1 1 0 -> 15
1 0 1 -> 38

71 1
0 0 0 -> 15
1 0 0 -> 64
0 1 0 -> 15
1 1 0 -> 15
0 0 1 -> 44
1 0 1 -> 6

72 1
0 0 0 -> 35
1 0 0 -> 36
0 1 0 -> 17
1 1 0 -> 19

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

74 1
0 0 0 -> 69
1 0 0 -> 15
0 1 0 -> 71
1 1 0 -> 33

75 1
0 0 0 -> 15
1 0 0 -> 15
0 1 0 -> 74
1 1 0 -> 75

76 1
0 0 0 -> 15
1 0 0 -> 70
0 1 0 -> 15
1 1 0 -> 15
0 0 1 -> 23
1 0 1 -> 22

77 1
0 0 0 -> 51
1 0 0 -> 56
0 1 0 -> 15
1 1 0 -> 17

78 1
0 0 0 -> 61
1 0 0 -> 62
0 1 0 -> 15
1 1 0 -> 15
0 0 1 -> 27
1 0 1 -> 28

79 1
0 0 0 -> 15
1 0 0 -> 81
0 1 0 -> 15
1 1 0 -> 15
1 0 1 -> 60

80 0
1 0 0 -> 60
1 0 1 -> 60

81 1
0 0 0 -> 15
1 0 0 -> 79
0 1 0 -> 15
1 1 0 -> 15
1 0 1 -> 80
