Identifier
-
Mp00255:
Decorated permutations
—lower permutation⟶
Permutations
St000020: Permutations ⟶ ℤ
Values
=>
[+]=>[1]=>1
[-]=>[1]=>1
[+,+]=>[1,2]=>1
[-,+]=>[2,1]=>2
[+,-]=>[1,2]=>1
[-,-]=>[1,2]=>1
[2,1]=>[1,2]=>1
[+,+,+]=>[1,2,3]=>1
[-,+,+]=>[2,3,1]=>4
[+,-,+]=>[1,3,2]=>2
[+,+,-]=>[1,2,3]=>1
[-,-,+]=>[3,1,2]=>5
[-,+,-]=>[2,1,3]=>3
[+,-,-]=>[1,2,3]=>1
[-,-,-]=>[1,2,3]=>1
[+,3,2]=>[1,2,3]=>1
[-,3,2]=>[2,1,3]=>3
[2,1,+]=>[1,3,2]=>2
[2,1,-]=>[1,2,3]=>1
[2,3,1]=>[1,2,3]=>1
[3,1,2]=>[1,2,3]=>1
[3,+,1]=>[2,1,3]=>3
[3,-,1]=>[1,3,2]=>2
[+,+,+,+]=>[1,2,3,4]=>1
[-,+,+,+]=>[2,3,4,1]=>10
[+,-,+,+]=>[1,3,4,2]=>4
[+,+,-,+]=>[1,2,4,3]=>2
[+,+,+,-]=>[1,2,3,4]=>1
[-,-,+,+]=>[3,4,1,2]=>17
[-,+,-,+]=>[2,4,1,3]=>11
[-,+,+,-]=>[2,3,1,4]=>9
[+,-,-,+]=>[1,4,2,3]=>5
[+,-,+,-]=>[1,3,2,4]=>3
[+,+,-,-]=>[1,2,3,4]=>1
[-,-,-,+]=>[4,1,2,3]=>19
[-,-,+,-]=>[3,1,2,4]=>13
[-,+,-,-]=>[2,1,3,4]=>7
[+,-,-,-]=>[1,2,3,4]=>1
[-,-,-,-]=>[1,2,3,4]=>1
[+,+,4,3]=>[1,2,3,4]=>1
[-,+,4,3]=>[2,3,1,4]=>9
[+,-,4,3]=>[1,3,2,4]=>3
[-,-,4,3]=>[3,1,2,4]=>13
[+,3,2,+]=>[1,2,4,3]=>2
[-,3,2,+]=>[2,4,1,3]=>11
[+,3,2,-]=>[1,2,3,4]=>1
[-,3,2,-]=>[2,1,3,4]=>7
[+,3,4,2]=>[1,2,3,4]=>1
[-,3,4,2]=>[2,1,3,4]=>7
[+,4,2,3]=>[1,2,3,4]=>1
[-,4,2,3]=>[2,3,1,4]=>9
[+,4,+,2]=>[1,3,2,4]=>3
[-,4,+,2]=>[3,2,1,4]=>15
[+,4,-,2]=>[1,2,4,3]=>2
[-,4,-,2]=>[2,1,4,3]=>8
[2,1,+,+]=>[1,3,4,2]=>4
[2,1,-,+]=>[1,4,2,3]=>5
[2,1,+,-]=>[1,3,2,4]=>3
[2,1,-,-]=>[1,2,3,4]=>1
[2,1,4,3]=>[1,3,2,4]=>3
[2,3,1,+]=>[1,4,2,3]=>5
[2,3,1,-]=>[1,2,3,4]=>1
[2,3,4,1]=>[1,2,3,4]=>1
[2,4,1,3]=>[1,3,2,4]=>3
[2,4,+,1]=>[3,1,2,4]=>13
[2,4,-,1]=>[1,2,4,3]=>2
[3,1,2,+]=>[1,2,4,3]=>2
[3,1,2,-]=>[1,2,3,4]=>1
[3,1,4,2]=>[1,2,3,4]=>1
[3,+,1,+]=>[2,1,4,3]=>8
[3,-,1,+]=>[1,4,3,2]=>6
[3,+,1,-]=>[2,1,3,4]=>7
[3,-,1,-]=>[1,3,2,4]=>3
[3,+,4,1]=>[2,1,3,4]=>7
[3,-,4,1]=>[1,3,2,4]=>3
[3,4,1,2]=>[1,2,3,4]=>1
[3,4,2,1]=>[2,1,3,4]=>7
[4,1,2,3]=>[1,2,3,4]=>1
[4,1,+,2]=>[1,3,2,4]=>3
[4,1,-,2]=>[1,2,4,3]=>2
[4,+,1,3]=>[2,1,3,4]=>7
[4,-,1,3]=>[1,3,4,2]=>4
[4,+,+,1]=>[2,3,1,4]=>9
[4,-,+,1]=>[3,1,4,2]=>14
[4,+,-,1]=>[2,1,4,3]=>8
[4,-,-,1]=>[1,4,2,3]=>5
[4,3,1,2]=>[1,2,4,3]=>2
[4,3,2,1]=>[2,1,4,3]=>8
[+,+,+,+,+]=>[1,2,3,4,5]=>1
[-,+,+,+,+]=>[2,3,4,5,1]=>34
[+,-,+,+,+]=>[1,3,4,5,2]=>10
[+,+,-,+,+]=>[1,2,4,5,3]=>4
[+,+,+,-,+]=>[1,2,3,5,4]=>2
[+,+,+,+,-]=>[1,2,3,4,5]=>1
[-,-,+,+,+]=>[3,4,5,1,2]=>65
[-,+,-,+,+]=>[2,4,5,1,3]=>41
[-,+,+,-,+]=>[2,3,5,1,4]=>35
[-,+,+,+,-]=>[2,3,4,1,5]=>33
[+,-,-,+,+]=>[1,4,5,2,3]=>17
[+,-,+,-,+]=>[1,3,5,2,4]=>11
[+,-,+,+,-]=>[1,3,4,2,5]=>9
[+,+,-,-,+]=>[1,2,5,3,4]=>5
[+,+,-,+,-]=>[1,2,4,3,5]=>3
[+,+,+,-,-]=>[1,2,3,4,5]=>1
[-,-,-,+,+]=>[4,5,1,2,3]=>91
[-,-,+,-,+]=>[3,5,1,2,4]=>67
[-,-,+,+,-]=>[3,4,1,2,5]=>61
[-,+,-,-,+]=>[2,5,1,3,4]=>43
[-,+,-,+,-]=>[2,4,1,3,5]=>37
[-,+,+,-,-]=>[2,3,1,4,5]=>31
[+,-,-,-,+]=>[1,5,2,3,4]=>19
[+,-,-,+,-]=>[1,4,2,3,5]=>13
[+,-,+,-,-]=>[1,3,2,4,5]=>7
[+,+,-,-,-]=>[1,2,3,4,5]=>1
[-,-,-,-,+]=>[5,1,2,3,4]=>97
[-,-,-,+,-]=>[4,1,2,3,5]=>73
[-,-,+,-,-]=>[3,1,2,4,5]=>49
[-,+,-,-,-]=>[2,1,3,4,5]=>25
[+,-,-,-,-]=>[1,2,3,4,5]=>1
[-,-,-,-,-]=>[1,2,3,4,5]=>1
[+,+,+,5,4]=>[1,2,3,4,5]=>1
[-,+,+,5,4]=>[2,3,4,1,5]=>33
[+,-,+,5,4]=>[1,3,4,2,5]=>9
[+,+,-,5,4]=>[1,2,4,3,5]=>3
[-,-,+,5,4]=>[3,4,1,2,5]=>61
[-,+,-,5,4]=>[2,4,1,3,5]=>37
[+,-,-,5,4]=>[1,4,2,3,5]=>13
[-,-,-,5,4]=>[4,1,2,3,5]=>73
[+,+,4,3,+]=>[1,2,3,5,4]=>2
[-,+,4,3,+]=>[2,3,5,1,4]=>35
[+,-,4,3,+]=>[1,3,5,2,4]=>11
[+,+,4,3,-]=>[1,2,3,4,5]=>1
[-,-,4,3,+]=>[3,5,1,2,4]=>67
[-,+,4,3,-]=>[2,3,1,4,5]=>31
[+,-,4,3,-]=>[1,3,2,4,5]=>7
[-,-,4,3,-]=>[3,1,2,4,5]=>49
[+,+,4,5,3]=>[1,2,3,4,5]=>1
[-,+,4,5,3]=>[2,3,1,4,5]=>31
[+,-,4,5,3]=>[1,3,2,4,5]=>7
[-,-,4,5,3]=>[3,1,2,4,5]=>49
[+,+,5,3,4]=>[1,2,3,4,5]=>1
[-,+,5,3,4]=>[2,3,4,1,5]=>33
[+,-,5,3,4]=>[1,3,4,2,5]=>9
[-,-,5,3,4]=>[3,4,1,2,5]=>61
[+,+,5,+,3]=>[1,2,4,3,5]=>3
[-,+,5,+,3]=>[2,4,3,1,5]=>39
[+,-,5,+,3]=>[1,4,3,2,5]=>15
[+,+,5,-,3]=>[1,2,3,5,4]=>2
[-,-,5,+,3]=>[4,3,1,2,5]=>85
[-,+,5,-,3]=>[2,3,1,5,4]=>32
[+,-,5,-,3]=>[1,3,2,5,4]=>8
[-,-,5,-,3]=>[3,1,2,5,4]=>50
[+,3,2,+,+]=>[1,2,4,5,3]=>4
[-,3,2,+,+]=>[2,4,5,1,3]=>41
[+,3,2,-,+]=>[1,2,5,3,4]=>5
[+,3,2,+,-]=>[1,2,4,3,5]=>3
[-,3,2,-,+]=>[2,5,1,3,4]=>43
[-,3,2,+,-]=>[2,4,1,3,5]=>37
[+,3,2,-,-]=>[1,2,3,4,5]=>1
[-,3,2,-,-]=>[2,1,3,4,5]=>25
[+,3,2,5,4]=>[1,2,4,3,5]=>3
[-,3,2,5,4]=>[2,4,1,3,5]=>37
[+,3,4,2,+]=>[1,2,5,3,4]=>5
[-,3,4,2,+]=>[2,5,1,3,4]=>43
[+,3,4,2,-]=>[1,2,3,4,5]=>1
[-,3,4,2,-]=>[2,1,3,4,5]=>25
[+,3,4,5,2]=>[1,2,3,4,5]=>1
[-,3,4,5,2]=>[2,1,3,4,5]=>25
[+,3,5,2,4]=>[1,2,4,3,5]=>3
[-,3,5,2,4]=>[2,4,1,3,5]=>37
[+,3,5,+,2]=>[1,4,2,3,5]=>13
[-,3,5,+,2]=>[4,2,1,3,5]=>79
[+,3,5,-,2]=>[1,2,3,5,4]=>2
[-,3,5,-,2]=>[2,1,3,5,4]=>26
[+,4,2,3,+]=>[1,2,3,5,4]=>2
[-,4,2,3,+]=>[2,3,5,1,4]=>35
[+,4,2,3,-]=>[1,2,3,4,5]=>1
[-,4,2,3,-]=>[2,3,1,4,5]=>31
[+,4,2,5,3]=>[1,2,3,4,5]=>1
[-,4,2,5,3]=>[2,3,1,4,5]=>31
[+,4,+,2,+]=>[1,3,2,5,4]=>8
[-,4,+,2,+]=>[3,2,5,1,4]=>59
[+,4,-,2,+]=>[1,2,5,4,3]=>6
[+,4,+,2,-]=>[1,3,2,4,5]=>7
[-,4,-,2,+]=>[2,5,1,4,3]=>44
[-,4,+,2,-]=>[3,2,1,4,5]=>55
[+,4,-,2,-]=>[1,2,4,3,5]=>3
[-,4,-,2,-]=>[2,1,4,3,5]=>27
[+,4,+,5,2]=>[1,3,2,4,5]=>7
[-,4,+,5,2]=>[3,2,1,4,5]=>55
[+,4,-,5,2]=>[1,2,4,3,5]=>3
[-,4,-,5,2]=>[2,1,4,3,5]=>27
[+,4,5,2,3]=>[1,2,3,4,5]=>1
[-,4,5,2,3]=>[2,3,1,4,5]=>31
[+,4,5,3,2]=>[1,3,2,4,5]=>7
[-,4,5,3,2]=>[3,2,1,4,5]=>55
[+,5,2,3,4]=>[1,2,3,4,5]=>1
[-,5,2,3,4]=>[2,3,4,1,5]=>33
[+,5,2,+,3]=>[1,2,4,3,5]=>3
[-,5,2,+,3]=>[2,4,3,1,5]=>39
[+,5,2,-,3]=>[1,2,3,5,4]=>2
[-,5,2,-,3]=>[2,3,1,5,4]=>32
[+,5,+,2,4]=>[1,3,2,4,5]=>7
[-,5,+,2,4]=>[3,2,4,1,5]=>57
[+,5,-,2,4]=>[1,2,4,5,3]=>4
[-,5,-,2,4]=>[2,4,1,5,3]=>38
[+,5,+,+,2]=>[1,3,4,2,5]=>9
[-,5,+,+,2]=>[3,4,2,1,5]=>63
[+,5,-,+,2]=>[1,4,2,5,3]=>14
[+,5,+,-,2]=>[1,3,2,5,4]=>8
[-,5,-,+,2]=>[4,2,1,5,3]=>80
[-,5,+,-,2]=>[3,2,1,5,4]=>56
[+,5,-,-,2]=>[1,2,5,3,4]=>5
[-,5,-,-,2]=>[2,1,5,3,4]=>29
[+,5,4,2,3]=>[1,2,3,5,4]=>2
[-,5,4,2,3]=>[2,3,1,5,4]=>32
[+,5,4,3,2]=>[1,3,2,5,4]=>8
[-,5,4,3,2]=>[3,2,1,5,4]=>56
[2,1,+,+,+]=>[1,3,4,5,2]=>10
[2,1,-,+,+]=>[1,4,5,2,3]=>17
[2,1,+,-,+]=>[1,3,5,2,4]=>11
[2,1,+,+,-]=>[1,3,4,2,5]=>9
[2,1,-,-,+]=>[1,5,2,3,4]=>19
[2,1,-,+,-]=>[1,4,2,3,5]=>13
[2,1,+,-,-]=>[1,3,2,4,5]=>7
[2,1,-,-,-]=>[1,2,3,4,5]=>1
[2,1,+,5,4]=>[1,3,4,2,5]=>9
[2,1,-,5,4]=>[1,4,2,3,5]=>13
[2,1,4,3,+]=>[1,3,5,2,4]=>11
[2,1,4,3,-]=>[1,3,2,4,5]=>7
[2,1,4,5,3]=>[1,3,2,4,5]=>7
[2,1,5,3,4]=>[1,3,4,2,5]=>9
[2,1,5,+,3]=>[1,4,3,2,5]=>15
[2,1,5,-,3]=>[1,3,2,5,4]=>8
[2,3,1,+,+]=>[1,4,5,2,3]=>17
[2,3,1,-,+]=>[1,5,2,3,4]=>19
[2,3,1,+,-]=>[1,4,2,3,5]=>13
[2,3,1,-,-]=>[1,2,3,4,5]=>1
[2,3,1,5,4]=>[1,4,2,3,5]=>13
[2,3,4,1,+]=>[1,5,2,3,4]=>19
[2,3,4,1,-]=>[1,2,3,4,5]=>1
[2,3,4,5,1]=>[1,2,3,4,5]=>1
[2,3,5,1,4]=>[1,4,2,3,5]=>13
[2,3,5,+,1]=>[4,1,2,3,5]=>73
[2,3,5,-,1]=>[1,2,3,5,4]=>2
[2,4,1,3,+]=>[1,3,5,2,4]=>11
[2,4,1,3,-]=>[1,3,2,4,5]=>7
[2,4,1,5,3]=>[1,3,2,4,5]=>7
[2,4,+,1,+]=>[3,1,5,2,4]=>53
[2,4,-,1,+]=>[1,5,2,4,3]=>20
[2,4,+,1,-]=>[3,1,2,4,5]=>49
[2,4,-,1,-]=>[1,2,4,3,5]=>3
[2,4,+,5,1]=>[3,1,2,4,5]=>49
[2,4,-,5,1]=>[1,2,4,3,5]=>3
[2,4,5,1,3]=>[1,3,2,4,5]=>7
[2,4,5,3,1]=>[3,1,2,4,5]=>49
[2,5,1,3,4]=>[1,3,4,2,5]=>9
[2,5,1,+,3]=>[1,4,3,2,5]=>15
[2,5,1,-,3]=>[1,3,2,5,4]=>8
[2,5,+,1,4]=>[3,1,4,2,5]=>51
[2,5,-,1,4]=>[1,4,2,5,3]=>14
[2,5,+,+,1]=>[3,4,1,2,5]=>61
[2,5,-,+,1]=>[4,1,2,5,3]=>74
[2,5,+,-,1]=>[3,1,2,5,4]=>50
[2,5,-,-,1]=>[1,2,5,3,4]=>5
[2,5,4,1,3]=>[1,3,2,5,4]=>8
[2,5,4,3,1]=>[3,1,2,5,4]=>50
[3,1,2,+,+]=>[1,2,4,5,3]=>4
[3,1,2,-,+]=>[1,2,5,3,4]=>5
[3,1,2,+,-]=>[1,2,4,3,5]=>3
[3,1,2,-,-]=>[1,2,3,4,5]=>1
[3,1,2,5,4]=>[1,2,4,3,5]=>3
[3,1,4,2,+]=>[1,2,5,3,4]=>5
[3,1,4,2,-]=>[1,2,3,4,5]=>1
[3,1,4,5,2]=>[1,2,3,4,5]=>1
[3,1,5,2,4]=>[1,2,4,3,5]=>3
[3,1,5,+,2]=>[1,4,2,3,5]=>13
[3,1,5,-,2]=>[1,2,3,5,4]=>2
[3,+,1,+,+]=>[2,1,4,5,3]=>28
[3,-,1,+,+]=>[1,4,5,3,2]=>18
[3,+,1,-,+]=>[2,1,5,3,4]=>29
[3,+,1,+,-]=>[2,1,4,3,5]=>27
[3,-,1,-,+]=>[1,5,3,2,4]=>21
[3,-,1,+,-]=>[1,4,3,2,5]=>15
[3,+,1,-,-]=>[2,1,3,4,5]=>25
[3,-,1,-,-]=>[1,3,2,4,5]=>7
[3,+,1,5,4]=>[2,1,4,3,5]=>27
[3,-,1,5,4]=>[1,4,3,2,5]=>15
[3,+,4,1,+]=>[2,1,5,3,4]=>29
[3,-,4,1,+]=>[1,5,3,2,4]=>21
[3,+,4,1,-]=>[2,1,3,4,5]=>25
[3,-,4,1,-]=>[1,3,2,4,5]=>7
[3,+,4,5,1]=>[2,1,3,4,5]=>25
[3,-,4,5,1]=>[1,3,2,4,5]=>7
[3,+,5,1,4]=>[2,1,4,3,5]=>27
[3,-,5,1,4]=>[1,4,3,2,5]=>15
[3,+,5,+,1]=>[2,4,1,3,5]=>37
[3,-,5,+,1]=>[4,1,3,2,5]=>75
[3,+,5,-,1]=>[2,1,3,5,4]=>26
[3,-,5,-,1]=>[1,3,2,5,4]=>8
[3,4,1,2,+]=>[1,2,5,3,4]=>5
[3,4,1,2,-]=>[1,2,3,4,5]=>1
[3,4,1,5,2]=>[1,2,3,4,5]=>1
[3,4,2,1,+]=>[2,1,5,3,4]=>29
[3,4,2,1,-]=>[2,1,3,4,5]=>25
[3,4,2,5,1]=>[2,1,3,4,5]=>25
[3,4,5,1,2]=>[1,2,3,4,5]=>1
[3,4,5,2,1]=>[2,1,3,4,5]=>25
[3,5,1,2,4]=>[1,2,4,3,5]=>3
[3,5,1,+,2]=>[1,4,2,3,5]=>13
[3,5,1,-,2]=>[1,2,3,5,4]=>2
[3,5,2,1,4]=>[2,1,4,3,5]=>27
[3,5,2,+,1]=>[2,4,1,3,5]=>37
[3,5,2,-,1]=>[2,1,3,5,4]=>26
[3,5,4,1,2]=>[1,2,3,5,4]=>2
[3,5,4,2,1]=>[2,1,3,5,4]=>26
[4,1,2,3,+]=>[1,2,3,5,4]=>2
[4,1,2,3,-]=>[1,2,3,4,5]=>1
[4,1,2,5,3]=>[1,2,3,4,5]=>1
[4,1,+,2,+]=>[1,3,2,5,4]=>8
[4,1,-,2,+]=>[1,2,5,4,3]=>6
[4,1,+,2,-]=>[1,3,2,4,5]=>7
[4,1,-,2,-]=>[1,2,4,3,5]=>3
[4,1,+,5,2]=>[1,3,2,4,5]=>7
[4,1,-,5,2]=>[1,2,4,3,5]=>3
[4,1,5,2,3]=>[1,2,3,4,5]=>1
[4,1,5,3,2]=>[1,3,2,4,5]=>7
[4,+,1,3,+]=>[2,1,3,5,4]=>26
[4,-,1,3,+]=>[1,3,5,4,2]=>12
[4,+,1,3,-]=>[2,1,3,4,5]=>25
[4,-,1,3,-]=>[1,3,4,2,5]=>9
[4,+,1,5,3]=>[2,1,3,4,5]=>25
[4,-,1,5,3]=>[1,3,4,2,5]=>9
[4,+,+,1,+]=>[2,3,1,5,4]=>32
[4,-,+,1,+]=>[3,1,5,4,2]=>54
[4,+,-,1,+]=>[2,1,5,4,3]=>30
[4,+,+,1,-]=>[2,3,1,4,5]=>31
[4,-,-,1,+]=>[1,5,4,2,3]=>23
[4,-,+,1,-]=>[3,1,4,2,5]=>51
[4,+,-,1,-]=>[2,1,4,3,5]=>27
[4,-,-,1,-]=>[1,4,2,3,5]=>13
[4,+,+,5,1]=>[2,3,1,4,5]=>31
[4,-,+,5,1]=>[3,1,4,2,5]=>51
[4,+,-,5,1]=>[2,1,4,3,5]=>27
[4,-,-,5,1]=>[1,4,2,3,5]=>13
[4,+,5,1,3]=>[2,1,3,4,5]=>25
[4,-,5,1,3]=>[1,3,4,2,5]=>9
[4,+,5,3,1]=>[2,3,1,4,5]=>31
[4,-,5,3,1]=>[3,1,4,2,5]=>51
[4,3,1,2,+]=>[1,2,5,4,3]=>6
[4,3,1,2,-]=>[1,2,4,3,5]=>3
[4,3,1,5,2]=>[1,2,4,3,5]=>3
[4,3,2,1,+]=>[2,1,5,4,3]=>30
[4,3,2,1,-]=>[2,1,4,3,5]=>27
[4,3,2,5,1]=>[2,1,4,3,5]=>27
[4,3,5,1,2]=>[1,2,4,3,5]=>3
[4,3,5,2,1]=>[2,1,4,3,5]=>27
[4,5,1,2,3]=>[1,2,3,4,5]=>1
[4,5,1,3,2]=>[1,3,2,4,5]=>7
[4,5,2,1,3]=>[2,1,3,4,5]=>25
[4,5,2,3,1]=>[2,3,1,4,5]=>31
[4,5,+,1,2]=>[3,1,2,4,5]=>49
[4,5,-,1,2]=>[1,2,4,5,3]=>4
[4,5,+,2,1]=>[3,2,1,4,5]=>55
[4,5,-,2,1]=>[2,1,4,5,3]=>28
[5,1,2,3,4]=>[1,2,3,4,5]=>1
[5,1,2,+,3]=>[1,2,4,3,5]=>3
[5,1,2,-,3]=>[1,2,3,5,4]=>2
[5,1,+,2,4]=>[1,3,2,4,5]=>7
[5,1,-,2,4]=>[1,2,4,5,3]=>4
[5,1,+,+,2]=>[1,3,4,2,5]=>9
[5,1,-,+,2]=>[1,4,2,5,3]=>14
[5,1,+,-,2]=>[1,3,2,5,4]=>8
[5,1,-,-,2]=>[1,2,5,3,4]=>5
[5,1,4,2,3]=>[1,2,3,5,4]=>2
[5,1,4,3,2]=>[1,3,2,5,4]=>8
[5,+,1,3,4]=>[2,1,3,4,5]=>25
[5,-,1,3,4]=>[1,3,4,5,2]=>10
[5,+,1,+,3]=>[2,1,4,3,5]=>27
[5,-,1,+,3]=>[1,4,3,5,2]=>16
[5,+,1,-,3]=>[2,1,3,5,4]=>26
[5,-,1,-,3]=>[1,3,5,2,4]=>11
[5,+,+,1,4]=>[2,3,1,4,5]=>31
[5,-,+,1,4]=>[3,1,4,5,2]=>52
[5,+,-,1,4]=>[2,1,4,5,3]=>28
[5,-,-,1,4]=>[1,4,5,2,3]=>17
[5,+,+,+,1]=>[2,3,4,1,5]=>33
[5,-,+,+,1]=>[3,4,1,5,2]=>62
[5,+,-,+,1]=>[2,4,1,5,3]=>38
[5,+,+,-,1]=>[2,3,1,5,4]=>32
[5,-,-,+,1]=>[4,1,5,2,3]=>77
[5,-,+,-,1]=>[3,1,5,2,4]=>53
[5,+,-,-,1]=>[2,1,5,3,4]=>29
[5,-,-,-,1]=>[1,5,2,3,4]=>19
[5,+,4,1,3]=>[2,1,3,5,4]=>26
[5,-,4,1,3]=>[1,3,5,2,4]=>11
[5,+,4,3,1]=>[2,3,1,5,4]=>32
[5,-,4,3,1]=>[3,1,5,2,4]=>53
[5,3,1,2,4]=>[1,2,4,5,3]=>4
[5,3,1,+,2]=>[1,4,2,5,3]=>14
[5,3,1,-,2]=>[1,2,5,3,4]=>5
[5,3,2,1,4]=>[2,1,4,5,3]=>28
[5,3,2,+,1]=>[2,4,1,5,3]=>38
[5,3,2,-,1]=>[2,1,5,3,4]=>29
[5,3,4,1,2]=>[1,2,5,3,4]=>5
[5,3,4,2,1]=>[2,1,5,3,4]=>29
[5,4,1,2,3]=>[1,2,3,5,4]=>2
[5,4,1,3,2]=>[1,3,2,5,4]=>8
[5,4,2,1,3]=>[2,1,3,5,4]=>26
[5,4,2,3,1]=>[2,3,1,5,4]=>32
[5,4,+,1,2]=>[3,1,2,5,4]=>50
[5,4,-,1,2]=>[1,2,5,4,3]=>6
[5,4,+,2,1]=>[3,2,1,5,4]=>56
[5,4,-,2,1]=>[2,1,5,4,3]=>30
[+,+,+,+,+,+]=>[1,2,3,4,5,6]=>1
[-,+,+,+,+,+]=>[2,3,4,5,6,1]=>154
[+,-,+,+,+,+]=>[1,3,4,5,6,2]=>34
[+,+,-,+,+,+]=>[1,2,4,5,6,3]=>10
[+,+,+,-,+,+]=>[1,2,3,5,6,4]=>4
[+,+,+,+,-,+]=>[1,2,3,4,6,5]=>2
[+,+,+,+,+,-]=>[1,2,3,4,5,6]=>1
[-,-,+,+,+,+]=>[3,4,5,6,1,2]=>305
[-,+,-,+,+,+]=>[2,4,5,6,1,3]=>185
[-,+,+,-,+,+]=>[2,3,5,6,1,4]=>161
[-,+,+,+,-,+]=>[2,3,4,6,1,5]=>155
[-,+,+,+,+,-]=>[2,3,4,5,1,6]=>153
[+,-,-,+,+,+]=>[1,4,5,6,2,3]=>65
[+,-,+,-,+,+]=>[1,3,5,6,2,4]=>41
[+,-,+,+,-,+]=>[1,3,4,6,2,5]=>35
[+,-,+,+,+,-]=>[1,3,4,5,2,6]=>33
[+,+,-,-,+,+]=>[1,2,5,6,3,4]=>17
[+,+,-,+,-,+]=>[1,2,4,6,3,5]=>11
[+,+,-,+,+,-]=>[1,2,4,5,3,6]=>9
[+,+,+,-,-,+]=>[1,2,3,6,4,5]=>5
[+,+,+,-,+,-]=>[1,2,3,5,4,6]=>3
[+,+,+,+,-,-]=>[1,2,3,4,5,6]=>1
[-,-,-,+,+,+]=>[4,5,6,1,2,3]=>451
[-,-,+,-,+,+]=>[3,5,6,1,2,4]=>331
[-,-,+,+,-,+]=>[3,4,6,1,2,5]=>307
[-,-,+,+,+,-]=>[3,4,5,1,2,6]=>301
[-,+,-,-,+,+]=>[2,5,6,1,3,4]=>211
[-,+,-,+,-,+]=>[2,4,6,1,3,5]=>187
[-,+,-,+,+,-]=>[2,4,5,1,3,6]=>181
[-,+,+,-,-,+]=>[2,3,6,1,4,5]=>163
[-,+,+,-,+,-]=>[2,3,5,1,4,6]=>157
[-,+,+,+,-,-]=>[2,3,4,1,5,6]=>151
[+,-,-,-,+,+]=>[1,5,6,2,3,4]=>91
[+,-,-,+,-,+]=>[1,4,6,2,3,5]=>67
[+,-,-,+,+,-]=>[1,4,5,2,3,6]=>61
[+,-,+,-,-,+]=>[1,3,6,2,4,5]=>43
[+,-,+,-,+,-]=>[1,3,5,2,4,6]=>37
[+,-,+,+,-,-]=>[1,3,4,2,5,6]=>31
[+,+,-,-,-,+]=>[1,2,6,3,4,5]=>19
[+,+,-,-,+,-]=>[1,2,5,3,4,6]=>13
[+,+,-,+,-,-]=>[1,2,4,3,5,6]=>7
[+,+,+,-,-,-]=>[1,2,3,4,5,6]=>1
[-,-,-,-,+,+]=>[5,6,1,2,3,4]=>577
[-,-,-,+,-,+]=>[4,6,1,2,3,5]=>457
[-,-,-,+,+,-]=>[4,5,1,2,3,6]=>433
[-,-,+,-,-,+]=>[3,6,1,2,4,5]=>337
[-,-,+,-,+,-]=>[3,5,1,2,4,6]=>313
[-,-,+,+,-,-]=>[3,4,1,2,5,6]=>289
[-,+,-,-,-,+]=>[2,6,1,3,4,5]=>217
[-,+,-,-,+,-]=>[2,5,1,3,4,6]=>193
[-,+,-,+,-,-]=>[2,4,1,3,5,6]=>169
[-,+,+,-,-,-]=>[2,3,1,4,5,6]=>145
[+,-,-,-,-,+]=>[1,6,2,3,4,5]=>97
[+,-,-,-,+,-]=>[1,5,2,3,4,6]=>73
[+,-,-,+,-,-]=>[1,4,2,3,5,6]=>49
[+,-,+,-,-,-]=>[1,3,2,4,5,6]=>25
[+,+,-,-,-,-]=>[1,2,3,4,5,6]=>1
[-,-,-,-,-,+]=>[6,1,2,3,4,5]=>601
[-,-,-,-,+,-]=>[5,1,2,3,4,6]=>481
[-,-,-,+,-,-]=>[4,1,2,3,5,6]=>361
[-,-,+,-,-,-]=>[3,1,2,4,5,6]=>241
[-,+,-,-,-,-]=>[2,1,3,4,5,6]=>121
[+,-,-,-,-,-]=>[1,2,3,4,5,6]=>1
[-,-,-,-,-,-]=>[1,2,3,4,5,6]=>1
[+,+,+,+,6,5]=>[1,2,3,4,5,6]=>1
[-,+,+,+,6,5]=>[2,3,4,5,1,6]=>153
[+,-,+,+,6,5]=>[1,3,4,5,2,6]=>33
[+,+,-,+,6,5]=>[1,2,4,5,3,6]=>9
[+,+,+,-,6,5]=>[1,2,3,5,4,6]=>3
[-,-,+,+,6,5]=>[3,4,5,1,2,6]=>301
[-,+,-,+,6,5]=>[2,4,5,1,3,6]=>181
[-,+,+,-,6,5]=>[2,3,5,1,4,6]=>157
[+,-,-,+,6,5]=>[1,4,5,2,3,6]=>61
[+,-,+,-,6,5]=>[1,3,5,2,4,6]=>37
[+,+,-,-,6,5]=>[1,2,5,3,4,6]=>13
[-,-,-,+,6,5]=>[4,5,1,2,3,6]=>433
[-,-,+,-,6,5]=>[3,5,1,2,4,6]=>313
[-,+,-,-,6,5]=>[2,5,1,3,4,6]=>193
[+,-,-,-,6,5]=>[1,5,2,3,4,6]=>73
[-,-,-,-,6,5]=>[5,1,2,3,4,6]=>481
[+,+,+,5,4,+]=>[1,2,3,4,6,5]=>2
[-,+,+,5,4,+]=>[2,3,4,6,1,5]=>155
[+,-,+,5,4,+]=>[1,3,4,6,2,5]=>35
[+,+,-,5,4,+]=>[1,2,4,6,3,5]=>11
[+,+,+,5,4,-]=>[1,2,3,4,5,6]=>1
[-,-,+,5,4,+]=>[3,4,6,1,2,5]=>307
[-,+,-,5,4,+]=>[2,4,6,1,3,5]=>187
[-,+,+,5,4,-]=>[2,3,4,1,5,6]=>151
[+,-,-,5,4,+]=>[1,4,6,2,3,5]=>67
[+,-,+,5,4,-]=>[1,3,4,2,5,6]=>31
[+,+,-,5,4,-]=>[1,2,4,3,5,6]=>7
[-,-,-,5,4,+]=>[4,6,1,2,3,5]=>457
[-,-,+,5,4,-]=>[3,4,1,2,5,6]=>289
[-,+,-,5,4,-]=>[2,4,1,3,5,6]=>169
[+,-,-,5,4,-]=>[1,4,2,3,5,6]=>49
[-,-,-,5,4,-]=>[4,1,2,3,5,6]=>361
[+,+,+,5,6,4]=>[1,2,3,4,5,6]=>1
[-,+,+,5,6,4]=>[2,3,4,1,5,6]=>151
[+,-,+,5,6,4]=>[1,3,4,2,5,6]=>31
[+,+,-,5,6,4]=>[1,2,4,3,5,6]=>7
[-,-,+,5,6,4]=>[3,4,1,2,5,6]=>289
[-,+,-,5,6,4]=>[2,4,1,3,5,6]=>169
[+,-,-,5,6,4]=>[1,4,2,3,5,6]=>49
[-,-,-,5,6,4]=>[4,1,2,3,5,6]=>361
[+,+,+,6,4,5]=>[1,2,3,4,5,6]=>1
[-,+,+,6,4,5]=>[2,3,4,5,1,6]=>153
[+,-,+,6,4,5]=>[1,3,4,5,2,6]=>33
[+,+,-,6,4,5]=>[1,2,4,5,3,6]=>9
[-,-,+,6,4,5]=>[3,4,5,1,2,6]=>301
[-,+,-,6,4,5]=>[2,4,5,1,3,6]=>181
[+,-,-,6,4,5]=>[1,4,5,2,3,6]=>61
[-,-,-,6,4,5]=>[4,5,1,2,3,6]=>433
[+,+,+,6,+,4]=>[1,2,3,5,4,6]=>3
[-,+,+,6,+,4]=>[2,3,5,4,1,6]=>159
[+,-,+,6,+,4]=>[1,3,5,4,2,6]=>39
[+,+,-,6,+,4]=>[1,2,5,4,3,6]=>15
[+,+,+,6,-,4]=>[1,2,3,4,6,5]=>2
[-,-,+,6,+,4]=>[3,5,4,1,2,6]=>325
[-,+,-,6,+,4]=>[2,5,4,1,3,6]=>205
[-,+,+,6,-,4]=>[2,3,4,1,6,5]=>152
[+,-,-,6,+,4]=>[1,5,4,2,3,6]=>85
[+,-,+,6,-,4]=>[1,3,4,2,6,5]=>32
[+,+,-,6,-,4]=>[1,2,4,3,6,5]=>8
[-,-,-,6,+,4]=>[5,4,1,2,3,6]=>553
[-,-,+,6,-,4]=>[3,4,1,2,6,5]=>290
[-,+,-,6,-,4]=>[2,4,1,3,6,5]=>170
[+,-,-,6,-,4]=>[1,4,2,3,6,5]=>50
[-,-,-,6,-,4]=>[4,1,2,3,6,5]=>362
[+,+,4,3,+,+]=>[1,2,3,5,6,4]=>4
[-,+,4,3,+,+]=>[2,3,5,6,1,4]=>161
[+,-,4,3,+,+]=>[1,3,5,6,2,4]=>41
[+,+,4,3,-,+]=>[1,2,3,6,4,5]=>5
[+,+,4,3,+,-]=>[1,2,3,5,4,6]=>3
[-,-,4,3,+,+]=>[3,5,6,1,2,4]=>331
[-,+,4,3,-,+]=>[2,3,6,1,4,5]=>163
[-,+,4,3,+,-]=>[2,3,5,1,4,6]=>157
[+,-,4,3,-,+]=>[1,3,6,2,4,5]=>43
[+,-,4,3,+,-]=>[1,3,5,2,4,6]=>37
[+,+,4,3,-,-]=>[1,2,3,4,5,6]=>1
[-,-,4,3,-,+]=>[3,6,1,2,4,5]=>337
[-,-,4,3,+,-]=>[3,5,1,2,4,6]=>313
[-,+,4,3,-,-]=>[2,3,1,4,5,6]=>145
[+,-,4,3,-,-]=>[1,3,2,4,5,6]=>25
[-,-,4,3,-,-]=>[3,1,2,4,5,6]=>241
[+,+,4,3,6,5]=>[1,2,3,5,4,6]=>3
[-,+,4,3,6,5]=>[2,3,5,1,4,6]=>157
[+,-,4,3,6,5]=>[1,3,5,2,4,6]=>37
[-,-,4,3,6,5]=>[3,5,1,2,4,6]=>313
[+,+,4,5,3,+]=>[1,2,3,6,4,5]=>5
[-,+,4,5,3,+]=>[2,3,6,1,4,5]=>163
[+,-,4,5,3,+]=>[1,3,6,2,4,5]=>43
[+,+,4,5,3,-]=>[1,2,3,4,5,6]=>1
[-,-,4,5,3,+]=>[3,6,1,2,4,5]=>337
[-,+,4,5,3,-]=>[2,3,1,4,5,6]=>145
[+,-,4,5,3,-]=>[1,3,2,4,5,6]=>25
[-,-,4,5,3,-]=>[3,1,2,4,5,6]=>241
[+,+,4,5,6,3]=>[1,2,3,4,5,6]=>1
[-,+,4,5,6,3]=>[2,3,1,4,5,6]=>145
[+,-,4,5,6,3]=>[1,3,2,4,5,6]=>25
[-,-,4,5,6,3]=>[3,1,2,4,5,6]=>241
[+,+,4,6,3,5]=>[1,2,3,5,4,6]=>3
[-,+,4,6,3,5]=>[2,3,5,1,4,6]=>157
[+,-,4,6,3,5]=>[1,3,5,2,4,6]=>37
[-,-,4,6,3,5]=>[3,5,1,2,4,6]=>313
[+,+,4,6,+,3]=>[1,2,5,3,4,6]=>13
[-,+,4,6,+,3]=>[2,5,3,1,4,6]=>199
[+,-,4,6,+,3]=>[1,5,3,2,4,6]=>79
[+,+,4,6,-,3]=>[1,2,3,4,6,5]=>2
[-,-,4,6,+,3]=>[5,3,1,2,4,6]=>529
[-,+,4,6,-,3]=>[2,3,1,4,6,5]=>146
[+,-,4,6,-,3]=>[1,3,2,4,6,5]=>26
[-,-,4,6,-,3]=>[3,1,2,4,6,5]=>242
[+,+,5,3,4,+]=>[1,2,3,4,6,5]=>2
[-,+,5,3,4,+]=>[2,3,4,6,1,5]=>155
[+,-,5,3,4,+]=>[1,3,4,6,2,5]=>35
[+,+,5,3,4,-]=>[1,2,3,4,5,6]=>1
[-,-,5,3,4,+]=>[3,4,6,1,2,5]=>307
[-,+,5,3,4,-]=>[2,3,4,1,5,6]=>151
[+,-,5,3,4,-]=>[1,3,4,2,5,6]=>31
[-,-,5,3,4,-]=>[3,4,1,2,5,6]=>289
[+,+,5,3,6,4]=>[1,2,3,4,5,6]=>1
[-,+,5,3,6,4]=>[2,3,4,1,5,6]=>151
[+,-,5,3,6,4]=>[1,3,4,2,5,6]=>31
[-,-,5,3,6,4]=>[3,4,1,2,5,6]=>289
[+,+,5,+,3,+]=>[1,2,4,3,6,5]=>8
[-,+,5,+,3,+]=>[2,4,3,6,1,5]=>179
[+,-,5,+,3,+]=>[1,4,3,6,2,5]=>59
[+,+,5,-,3,+]=>[1,2,3,6,5,4]=>6
[+,+,5,+,3,-]=>[1,2,4,3,5,6]=>7
[-,-,5,+,3,+]=>[4,3,6,1,2,5]=>427
[-,+,5,-,3,+]=>[2,3,6,1,5,4]=>164
[-,+,5,+,3,-]=>[2,4,3,1,5,6]=>175
[+,-,5,-,3,+]=>[1,3,6,2,5,4]=>44
[+,-,5,+,3,-]=>[1,4,3,2,5,6]=>55
[+,+,5,-,3,-]=>[1,2,3,5,4,6]=>3
[-,-,5,-,3,+]=>[3,6,1,2,5,4]=>338
[-,-,5,+,3,-]=>[4,3,1,2,5,6]=>409
[-,+,5,-,3,-]=>[2,3,1,5,4,6]=>147
[+,-,5,-,3,-]=>[1,3,2,5,4,6]=>27
[-,-,5,-,3,-]=>[3,1,2,5,4,6]=>243
[+,+,5,+,6,3]=>[1,2,4,3,5,6]=>7
[-,+,5,+,6,3]=>[2,4,3,1,5,6]=>175
[+,-,5,+,6,3]=>[1,4,3,2,5,6]=>55
[+,+,5,-,6,3]=>[1,2,3,5,4,6]=>3
[-,-,5,+,6,3]=>[4,3,1,2,5,6]=>409
[-,+,5,-,6,3]=>[2,3,1,5,4,6]=>147
[+,-,5,-,6,3]=>[1,3,2,5,4,6]=>27
[-,-,5,-,6,3]=>[3,1,2,5,4,6]=>243
[+,+,5,6,3,4]=>[1,2,3,4,5,6]=>1
[-,+,5,6,3,4]=>[2,3,4,1,5,6]=>151
[+,-,5,6,3,4]=>[1,3,4,2,5,6]=>31
[-,-,5,6,3,4]=>[3,4,1,2,5,6]=>289
[+,+,5,6,4,3]=>[1,2,4,3,5,6]=>7
[-,+,5,6,4,3]=>[2,4,3,1,5,6]=>175
[+,-,5,6,4,3]=>[1,4,3,2,5,6]=>55
[-,-,5,6,4,3]=>[4,3,1,2,5,6]=>409
[+,+,6,3,4,5]=>[1,2,3,4,5,6]=>1
[-,+,6,3,4,5]=>[2,3,4,5,1,6]=>153
[+,-,6,3,4,5]=>[1,3,4,5,2,6]=>33
[-,-,6,3,4,5]=>[3,4,5,1,2,6]=>301
[+,+,6,3,+,4]=>[1,2,3,5,4,6]=>3
[-,+,6,3,+,4]=>[2,3,5,4,1,6]=>159
[+,-,6,3,+,4]=>[1,3,5,4,2,6]=>39
[+,+,6,3,-,4]=>[1,2,3,4,6,5]=>2
[-,-,6,3,+,4]=>[3,5,4,1,2,6]=>325
[-,+,6,3,-,4]=>[2,3,4,1,6,5]=>152
[+,-,6,3,-,4]=>[1,3,4,2,6,5]=>32
[-,-,6,3,-,4]=>[3,4,1,2,6,5]=>290
[+,+,6,+,3,5]=>[1,2,4,3,5,6]=>7
[-,+,6,+,3,5]=>[2,4,3,5,1,6]=>177
[+,-,6,+,3,5]=>[1,4,3,5,2,6]=>57
[+,+,6,-,3,5]=>[1,2,3,5,6,4]=>4
[-,-,6,+,3,5]=>[4,3,5,1,2,6]=>421
[-,+,6,-,3,5]=>[2,3,5,1,6,4]=>158
[+,-,6,-,3,5]=>[1,3,5,2,6,4]=>38
[-,-,6,-,3,5]=>[3,5,1,2,6,4]=>314
[+,+,6,+,+,3]=>[1,2,4,5,3,6]=>9
[-,+,6,+,+,3]=>[2,4,5,3,1,6]=>183
[+,-,6,+,+,3]=>[1,4,5,3,2,6]=>63
[+,+,6,-,+,3]=>[1,2,5,3,6,4]=>14
[+,+,6,+,-,3]=>[1,2,4,3,6,5]=>8
[-,-,6,+,+,3]=>[4,5,3,1,2,6]=>445
[-,+,6,-,+,3]=>[2,5,3,1,6,4]=>200
[-,+,6,+,-,3]=>[2,4,3,1,6,5]=>176
[+,-,6,-,+,3]=>[1,5,3,2,6,4]=>80
[+,-,6,+,-,3]=>[1,4,3,2,6,5]=>56
[+,+,6,-,-,3]=>[1,2,3,6,4,5]=>5
[-,-,6,-,+,3]=>[5,3,1,2,6,4]=>530
[-,-,6,+,-,3]=>[4,3,1,2,6,5]=>410
[-,+,6,-,-,3]=>[2,3,1,6,4,5]=>149
[+,-,6,-,-,3]=>[1,3,2,6,4,5]=>29
[-,-,6,-,-,3]=>[3,1,2,6,4,5]=>245
[+,+,6,5,3,4]=>[1,2,3,4,6,5]=>2
[-,+,6,5,3,4]=>[2,3,4,1,6,5]=>152
[+,-,6,5,3,4]=>[1,3,4,2,6,5]=>32
[-,-,6,5,3,4]=>[3,4,1,2,6,5]=>290
[+,+,6,5,4,3]=>[1,2,4,3,6,5]=>8
[-,+,6,5,4,3]=>[2,4,3,1,6,5]=>176
[+,-,6,5,4,3]=>[1,4,3,2,6,5]=>56
[-,-,6,5,4,3]=>[4,3,1,2,6,5]=>410
[+,3,2,+,+,+]=>[1,2,4,5,6,3]=>10
[-,3,2,+,+,+]=>[2,4,5,6,1,3]=>185
[+,3,2,-,+,+]=>[1,2,5,6,3,4]=>17
[+,3,2,+,-,+]=>[1,2,4,6,3,5]=>11
[+,3,2,+,+,-]=>[1,2,4,5,3,6]=>9
[-,3,2,-,+,+]=>[2,5,6,1,3,4]=>211
[-,3,2,+,-,+]=>[2,4,6,1,3,5]=>187
[-,3,2,+,+,-]=>[2,4,5,1,3,6]=>181
[+,3,2,-,-,+]=>[1,2,6,3,4,5]=>19
[+,3,2,-,+,-]=>[1,2,5,3,4,6]=>13
[+,3,2,+,-,-]=>[1,2,4,3,5,6]=>7
[-,3,2,-,-,+]=>[2,6,1,3,4,5]=>217
[-,3,2,-,+,-]=>[2,5,1,3,4,6]=>193
[-,3,2,+,-,-]=>[2,4,1,3,5,6]=>169
[+,3,2,-,-,-]=>[1,2,3,4,5,6]=>1
[-,3,2,-,-,-]=>[2,1,3,4,5,6]=>121
[+,3,2,+,6,5]=>[1,2,4,5,3,6]=>9
[-,3,2,+,6,5]=>[2,4,5,1,3,6]=>181
[+,3,2,-,6,5]=>[1,2,5,3,4,6]=>13
[-,3,2,-,6,5]=>[2,5,1,3,4,6]=>193
[+,3,2,5,4,+]=>[1,2,4,6,3,5]=>11
[-,3,2,5,4,+]=>[2,4,6,1,3,5]=>187
[+,3,2,5,4,-]=>[1,2,4,3,5,6]=>7
[-,3,2,5,4,-]=>[2,4,1,3,5,6]=>169
[+,3,2,5,6,4]=>[1,2,4,3,5,6]=>7
[-,3,2,5,6,4]=>[2,4,1,3,5,6]=>169
[+,3,2,6,4,5]=>[1,2,4,5,3,6]=>9
[-,3,2,6,4,5]=>[2,4,5,1,3,6]=>181
[+,3,2,6,+,4]=>[1,2,5,4,3,6]=>15
[-,3,2,6,+,4]=>[2,5,4,1,3,6]=>205
[+,3,2,6,-,4]=>[1,2,4,3,6,5]=>8
[-,3,2,6,-,4]=>[2,4,1,3,6,5]=>170
[+,3,4,2,+,+]=>[1,2,5,6,3,4]=>17
[-,3,4,2,+,+]=>[2,5,6,1,3,4]=>211
[+,3,4,2,-,+]=>[1,2,6,3,4,5]=>19
[+,3,4,2,+,-]=>[1,2,5,3,4,6]=>13
[-,3,4,2,-,+]=>[2,6,1,3,4,5]=>217
[-,3,4,2,+,-]=>[2,5,1,3,4,6]=>193
[+,3,4,2,-,-]=>[1,2,3,4,5,6]=>1
[-,3,4,2,-,-]=>[2,1,3,4,5,6]=>121
[+,3,4,2,6,5]=>[1,2,5,3,4,6]=>13
[-,3,4,2,6,5]=>[2,5,1,3,4,6]=>193
[+,3,4,5,2,+]=>[1,2,6,3,4,5]=>19
[-,3,4,5,2,+]=>[2,6,1,3,4,5]=>217
[+,3,4,5,2,-]=>[1,2,3,4,5,6]=>1
[-,3,4,5,2,-]=>[2,1,3,4,5,6]=>121
[+,3,4,5,6,2]=>[1,2,3,4,5,6]=>1
[-,3,4,5,6,2]=>[2,1,3,4,5,6]=>121
[+,3,4,6,2,5]=>[1,2,5,3,4,6]=>13
[-,3,4,6,2,5]=>[2,5,1,3,4,6]=>193
[+,3,4,6,+,2]=>[1,5,2,3,4,6]=>73
[-,3,4,6,+,2]=>[5,2,1,3,4,6]=>505
[+,3,4,6,-,2]=>[1,2,3,4,6,5]=>2
[-,3,4,6,-,2]=>[2,1,3,4,6,5]=>122
[+,3,5,2,4,+]=>[1,2,4,6,3,5]=>11
[-,3,5,2,4,+]=>[2,4,6,1,3,5]=>187
[+,3,5,2,4,-]=>[1,2,4,3,5,6]=>7
[-,3,5,2,4,-]=>[2,4,1,3,5,6]=>169
[+,3,5,2,6,4]=>[1,2,4,3,5,6]=>7
[-,3,5,2,6,4]=>[2,4,1,3,5,6]=>169
[+,3,5,+,2,+]=>[1,4,2,6,3,5]=>53
[-,3,5,+,2,+]=>[4,2,6,1,3,5]=>403
[+,3,5,-,2,+]=>[1,2,6,3,5,4]=>20
[+,3,5,+,2,-]=>[1,4,2,3,5,6]=>49
[-,3,5,-,2,+]=>[2,6,1,3,5,4]=>218
[-,3,5,+,2,-]=>[4,2,1,3,5,6]=>385
[+,3,5,-,2,-]=>[1,2,3,5,4,6]=>3
[-,3,5,-,2,-]=>[2,1,3,5,4,6]=>123
[+,3,5,+,6,2]=>[1,4,2,3,5,6]=>49
[-,3,5,+,6,2]=>[4,2,1,3,5,6]=>385
[+,3,5,-,6,2]=>[1,2,3,5,4,6]=>3
[-,3,5,-,6,2]=>[2,1,3,5,4,6]=>123
[+,3,5,6,2,4]=>[1,2,4,3,5,6]=>7
[-,3,5,6,2,4]=>[2,4,1,3,5,6]=>169
[+,3,5,6,4,2]=>[1,4,2,3,5,6]=>49
[-,3,5,6,4,2]=>[4,2,1,3,5,6]=>385
[+,3,6,2,4,5]=>[1,2,4,5,3,6]=>9
[-,3,6,2,4,5]=>[2,4,5,1,3,6]=>181
[+,3,6,2,+,4]=>[1,2,5,4,3,6]=>15
[-,3,6,2,+,4]=>[2,5,4,1,3,6]=>205
[+,3,6,2,-,4]=>[1,2,4,3,6,5]=>8
[-,3,6,2,-,4]=>[2,4,1,3,6,5]=>170
[+,3,6,+,2,5]=>[1,4,2,5,3,6]=>51
[-,3,6,+,2,5]=>[4,2,5,1,3,6]=>397
[+,3,6,-,2,5]=>[1,2,5,3,6,4]=>14
[-,3,6,-,2,5]=>[2,5,1,3,6,4]=>194
[+,3,6,+,+,2]=>[1,4,5,2,3,6]=>61
[-,3,6,+,+,2]=>[4,5,2,1,3,6]=>439
[+,3,6,-,+,2]=>[1,5,2,3,6,4]=>74
[+,3,6,+,-,2]=>[1,4,2,3,6,5]=>50
[-,3,6,-,+,2]=>[5,2,1,3,6,4]=>506
[-,3,6,+,-,2]=>[4,2,1,3,6,5]=>386
[+,3,6,-,-,2]=>[1,2,3,6,4,5]=>5
[-,3,6,-,-,2]=>[2,1,3,6,4,5]=>125
[+,3,6,5,2,4]=>[1,2,4,3,6,5]=>8
[-,3,6,5,2,4]=>[2,4,1,3,6,5]=>170
[+,3,6,5,4,2]=>[1,4,2,3,6,5]=>50
[-,3,6,5,4,2]=>[4,2,1,3,6,5]=>386
[+,4,2,3,+,+]=>[1,2,3,5,6,4]=>4
[-,4,2,3,+,+]=>[2,3,5,6,1,4]=>161
[+,4,2,3,-,+]=>[1,2,3,6,4,5]=>5
[+,4,2,3,+,-]=>[1,2,3,5,4,6]=>3
[-,4,2,3,-,+]=>[2,3,6,1,4,5]=>163
[-,4,2,3,+,-]=>[2,3,5,1,4,6]=>157
[+,4,2,3,-,-]=>[1,2,3,4,5,6]=>1
[-,4,2,3,-,-]=>[2,3,1,4,5,6]=>145
[+,4,2,3,6,5]=>[1,2,3,5,4,6]=>3
[-,4,2,3,6,5]=>[2,3,5,1,4,6]=>157
[+,4,2,5,3,+]=>[1,2,3,6,4,5]=>5
[-,4,2,5,3,+]=>[2,3,6,1,4,5]=>163
[+,4,2,5,3,-]=>[1,2,3,4,5,6]=>1
[-,4,2,5,3,-]=>[2,3,1,4,5,6]=>145
[+,4,2,5,6,3]=>[1,2,3,4,5,6]=>1
[-,4,2,5,6,3]=>[2,3,1,4,5,6]=>145
[+,4,2,6,3,5]=>[1,2,3,5,4,6]=>3
[-,4,2,6,3,5]=>[2,3,5,1,4,6]=>157
[+,4,2,6,+,3]=>[1,2,5,3,4,6]=>13
[-,4,2,6,+,3]=>[2,5,3,1,4,6]=>199
[+,4,2,6,-,3]=>[1,2,3,4,6,5]=>2
[-,4,2,6,-,3]=>[2,3,1,4,6,5]=>146
[+,4,+,2,+,+]=>[1,3,2,5,6,4]=>28
[-,4,+,2,+,+]=>[3,2,5,6,1,4]=>281
[+,4,-,2,+,+]=>[1,2,5,6,4,3]=>18
[+,4,+,2,-,+]=>[1,3,2,6,4,5]=>29
[+,4,+,2,+,-]=>[1,3,2,5,4,6]=>27
[-,4,-,2,+,+]=>[2,5,6,1,4,3]=>212
[-,4,+,2,-,+]=>[3,2,6,1,4,5]=>283
[-,4,+,2,+,-]=>[3,2,5,1,4,6]=>277
[+,4,-,2,-,+]=>[1,2,6,4,3,5]=>21
[+,4,-,2,+,-]=>[1,2,5,4,3,6]=>15
[+,4,+,2,-,-]=>[1,3,2,4,5,6]=>25
[-,4,-,2,-,+]=>[2,6,1,4,3,5]=>219
[-,4,-,2,+,-]=>[2,5,1,4,3,6]=>195
[-,4,+,2,-,-]=>[3,2,1,4,5,6]=>265
[+,4,-,2,-,-]=>[1,2,4,3,5,6]=>7
[-,4,-,2,-,-]=>[2,1,4,3,5,6]=>127
[+,4,+,2,6,5]=>[1,3,2,5,4,6]=>27
[-,4,+,2,6,5]=>[3,2,5,1,4,6]=>277
[+,4,-,2,6,5]=>[1,2,5,4,3,6]=>15
[-,4,-,2,6,5]=>[2,5,1,4,3,6]=>195
[+,4,+,5,2,+]=>[1,3,2,6,4,5]=>29
[-,4,+,5,2,+]=>[3,2,6,1,4,5]=>283
[+,4,-,5,2,+]=>[1,2,6,4,3,5]=>21
[+,4,+,5,2,-]=>[1,3,2,4,5,6]=>25
[-,4,-,5,2,+]=>[2,6,1,4,3,5]=>219
[-,4,+,5,2,-]=>[3,2,1,4,5,6]=>265
[+,4,-,5,2,-]=>[1,2,4,3,5,6]=>7
[-,4,-,5,2,-]=>[2,1,4,3,5,6]=>127
[+,4,+,5,6,2]=>[1,3,2,4,5,6]=>25
[-,4,+,5,6,2]=>[3,2,1,4,5,6]=>265
[+,4,-,5,6,2]=>[1,2,4,3,5,6]=>7
[-,4,-,5,6,2]=>[2,1,4,3,5,6]=>127
[+,4,+,6,2,5]=>[1,3,2,5,4,6]=>27
[-,4,+,6,2,5]=>[3,2,5,1,4,6]=>277
[+,4,-,6,2,5]=>[1,2,5,4,3,6]=>15
[-,4,-,6,2,5]=>[2,5,1,4,3,6]=>195
[+,4,+,6,+,2]=>[1,3,5,2,4,6]=>37
[-,4,+,6,+,2]=>[3,5,2,1,4,6]=>319
[+,4,-,6,+,2]=>[1,5,2,4,3,6]=>75
[+,4,+,6,-,2]=>[1,3,2,4,6,5]=>26
[-,4,-,6,+,2]=>[5,2,1,4,3,6]=>507
[-,4,+,6,-,2]=>[3,2,1,4,6,5]=>266
[+,4,-,6,-,2]=>[1,2,4,3,6,5]=>8
[-,4,-,6,-,2]=>[2,1,4,3,6,5]=>128
[+,4,5,2,3,+]=>[1,2,3,6,4,5]=>5
[-,4,5,2,3,+]=>[2,3,6,1,4,5]=>163
[+,4,5,2,3,-]=>[1,2,3,4,5,6]=>1
[-,4,5,2,3,-]=>[2,3,1,4,5,6]=>145
[+,4,5,2,6,3]=>[1,2,3,4,5,6]=>1
[-,4,5,2,6,3]=>[2,3,1,4,5,6]=>145
[+,4,5,3,2,+]=>[1,3,2,6,4,5]=>29
[-,4,5,3,2,+]=>[3,2,6,1,4,5]=>283
[+,4,5,3,2,-]=>[1,3,2,4,5,6]=>25
[-,4,5,3,2,-]=>[3,2,1,4,5,6]=>265
[+,4,5,3,6,2]=>[1,3,2,4,5,6]=>25
[-,4,5,3,6,2]=>[3,2,1,4,5,6]=>265
[+,4,5,6,2,3]=>[1,2,3,4,5,6]=>1
[-,4,5,6,2,3]=>[2,3,1,4,5,6]=>145
[+,4,5,6,3,2]=>[1,3,2,4,5,6]=>25
[-,4,5,6,3,2]=>[3,2,1,4,5,6]=>265
[+,4,6,2,3,5]=>[1,2,3,5,4,6]=>3
[-,4,6,2,3,5]=>[2,3,5,1,4,6]=>157
[+,4,6,2,+,3]=>[1,2,5,3,4,6]=>13
[-,4,6,2,+,3]=>[2,5,3,1,4,6]=>199
[+,4,6,2,-,3]=>[1,2,3,4,6,5]=>2
[-,4,6,2,-,3]=>[2,3,1,4,6,5]=>146
[+,4,6,3,2,5]=>[1,3,2,5,4,6]=>27
[-,4,6,3,2,5]=>[3,2,5,1,4,6]=>277
[+,4,6,3,+,2]=>[1,3,5,2,4,6]=>37
[-,4,6,3,+,2]=>[3,5,2,1,4,6]=>319
[+,4,6,3,-,2]=>[1,3,2,4,6,5]=>26
[-,4,6,3,-,2]=>[3,2,1,4,6,5]=>266
[+,4,6,5,2,3]=>[1,2,3,4,6,5]=>2
[-,4,6,5,2,3]=>[2,3,1,4,6,5]=>146
[+,4,6,5,3,2]=>[1,3,2,4,6,5]=>26
[-,4,6,5,3,2]=>[3,2,1,4,6,5]=>266
[+,5,2,3,4,+]=>[1,2,3,4,6,5]=>2
[-,5,2,3,4,+]=>[2,3,4,6,1,5]=>155
[+,5,2,3,4,-]=>[1,2,3,4,5,6]=>1
[-,5,2,3,4,-]=>[2,3,4,1,5,6]=>151
[+,5,2,3,6,4]=>[1,2,3,4,5,6]=>1
[-,5,2,3,6,4]=>[2,3,4,1,5,6]=>151
[+,5,2,+,3,+]=>[1,2,4,3,6,5]=>8
[-,5,2,+,3,+]=>[2,4,3,6,1,5]=>179
[+,5,2,-,3,+]=>[1,2,3,6,5,4]=>6
[+,5,2,+,3,-]=>[1,2,4,3,5,6]=>7
[-,5,2,-,3,+]=>[2,3,6,1,5,4]=>164
[-,5,2,+,3,-]=>[2,4,3,1,5,6]=>175
[+,5,2,-,3,-]=>[1,2,3,5,4,6]=>3
[-,5,2,-,3,-]=>[2,3,1,5,4,6]=>147
[+,5,2,+,6,3]=>[1,2,4,3,5,6]=>7
[-,5,2,+,6,3]=>[2,4,3,1,5,6]=>175
[+,5,2,-,6,3]=>[1,2,3,5,4,6]=>3
[-,5,2,-,6,3]=>[2,3,1,5,4,6]=>147
[+,5,2,6,3,4]=>[1,2,3,4,5,6]=>1
[-,5,2,6,3,4]=>[2,3,4,1,5,6]=>151
[+,5,2,6,4,3]=>[1,2,4,3,5,6]=>7
[-,5,2,6,4,3]=>[2,4,3,1,5,6]=>175
[+,5,+,2,4,+]=>[1,3,2,4,6,5]=>26
[-,5,+,2,4,+]=>[3,2,4,6,1,5]=>275
[+,5,-,2,4,+]=>[1,2,4,6,5,3]=>12
[+,5,+,2,4,-]=>[1,3,2,4,5,6]=>25
[-,5,-,2,4,+]=>[2,4,6,1,5,3]=>188
[-,5,+,2,4,-]=>[3,2,4,1,5,6]=>271
[+,5,-,2,4,-]=>[1,2,4,5,3,6]=>9
[-,5,-,2,4,-]=>[2,4,1,5,3,6]=>171
[+,5,+,2,6,4]=>[1,3,2,4,5,6]=>25
[-,5,+,2,6,4]=>[3,2,4,1,5,6]=>271
[+,5,-,2,6,4]=>[1,2,4,5,3,6]=>9
[-,5,-,2,6,4]=>[2,4,1,5,3,6]=>171
[+,5,+,+,2,+]=>[1,3,4,2,6,5]=>32
[-,5,+,+,2,+]=>[3,4,2,6,1,5]=>299
[+,5,-,+,2,+]=>[1,4,2,6,5,3]=>54
[+,5,+,-,2,+]=>[1,3,2,6,5,4]=>30
[+,5,+,+,2,-]=>[1,3,4,2,5,6]=>31
[-,5,-,+,2,+]=>[4,2,6,1,5,3]=>404
[-,5,+,-,2,+]=>[3,2,6,1,5,4]=>284
[-,5,+,+,2,-]=>[3,4,2,1,5,6]=>295
[+,5,-,-,2,+]=>[1,2,6,5,3,4]=>23
[+,5,-,+,2,-]=>[1,4,2,5,3,6]=>51
[+,5,+,-,2,-]=>[1,3,2,5,4,6]=>27
[-,5,-,-,2,+]=>[2,6,1,5,3,4]=>221
[-,5,-,+,2,-]=>[4,2,1,5,3,6]=>387
[-,5,+,-,2,-]=>[3,2,1,5,4,6]=>267
[+,5,-,-,2,-]=>[1,2,5,3,4,6]=>13
[-,5,-,-,2,-]=>[2,1,5,3,4,6]=>133
[+,5,+,+,6,2]=>[1,3,4,2,5,6]=>31
[-,5,+,+,6,2]=>[3,4,2,1,5,6]=>295
[+,5,-,+,6,2]=>[1,4,2,5,3,6]=>51
[+,5,+,-,6,2]=>[1,3,2,5,4,6]=>27
[-,5,-,+,6,2]=>[4,2,1,5,3,6]=>387
[-,5,+,-,6,2]=>[3,2,1,5,4,6]=>267
[+,5,-,-,6,2]=>[1,2,5,3,4,6]=>13
[-,5,-,-,6,2]=>[2,1,5,3,4,6]=>133
[+,5,+,6,2,4]=>[1,3,2,4,5,6]=>25
[-,5,+,6,2,4]=>[3,2,4,1,5,6]=>271
[+,5,-,6,2,4]=>[1,2,4,5,3,6]=>9
[-,5,-,6,2,4]=>[2,4,1,5,3,6]=>171
[+,5,+,6,4,2]=>[1,3,4,2,5,6]=>31
[-,5,+,6,4,2]=>[3,4,2,1,5,6]=>295
[+,5,-,6,4,2]=>[1,4,2,5,3,6]=>51
[-,5,-,6,4,2]=>[4,2,1,5,3,6]=>387
[+,5,4,2,3,+]=>[1,2,3,6,5,4]=>6
[-,5,4,2,3,+]=>[2,3,6,1,5,4]=>164
[+,5,4,2,3,-]=>[1,2,3,5,4,6]=>3
[-,5,4,2,3,-]=>[2,3,1,5,4,6]=>147
[+,5,4,2,6,3]=>[1,2,3,5,4,6]=>3
[-,5,4,2,6,3]=>[2,3,1,5,4,6]=>147
[+,5,4,3,2,+]=>[1,3,2,6,5,4]=>30
[-,5,4,3,2,+]=>[3,2,6,1,5,4]=>284
[+,5,4,3,2,-]=>[1,3,2,5,4,6]=>27
[-,5,4,3,2,-]=>[3,2,1,5,4,6]=>267
[+,5,4,3,6,2]=>[1,3,2,5,4,6]=>27
[-,5,4,3,6,2]=>[3,2,1,5,4,6]=>267
[+,5,4,6,2,3]=>[1,2,3,5,4,6]=>3
[-,5,4,6,2,3]=>[2,3,1,5,4,6]=>147
[+,5,4,6,3,2]=>[1,3,2,5,4,6]=>27
[-,5,4,6,3,2]=>[3,2,1,5,4,6]=>267
[+,5,6,2,3,4]=>[1,2,3,4,5,6]=>1
[-,5,6,2,3,4]=>[2,3,4,1,5,6]=>151
[+,5,6,2,4,3]=>[1,2,4,3,5,6]=>7
[-,5,6,2,4,3]=>[2,4,3,1,5,6]=>175
[+,5,6,3,2,4]=>[1,3,2,4,5,6]=>25
[-,5,6,3,2,4]=>[3,2,4,1,5,6]=>271
[+,5,6,3,4,2]=>[1,3,4,2,5,6]=>31
[-,5,6,3,4,2]=>[3,4,2,1,5,6]=>295
[+,5,6,+,2,3]=>[1,4,2,3,5,6]=>49
[-,5,6,+,2,3]=>[4,2,3,1,5,6]=>391
[+,5,6,-,2,3]=>[1,2,3,5,6,4]=>4
[-,5,6,-,2,3]=>[2,3,1,5,6,4]=>148
[+,5,6,+,3,2]=>[1,4,3,2,5,6]=>55
[-,5,6,+,3,2]=>[4,3,2,1,5,6]=>415
[+,5,6,-,3,2]=>[1,3,2,5,6,4]=>28
[-,5,6,-,3,2]=>[3,2,1,5,6,4]=>268
[+,6,2,3,4,5]=>[1,2,3,4,5,6]=>1
[-,6,2,3,4,5]=>[2,3,4,5,1,6]=>153
[+,6,2,3,+,4]=>[1,2,3,5,4,6]=>3
[-,6,2,3,+,4]=>[2,3,5,4,1,6]=>159
[+,6,2,3,-,4]=>[1,2,3,4,6,5]=>2
[-,6,2,3,-,4]=>[2,3,4,1,6,5]=>152
[+,6,2,+,3,5]=>[1,2,4,3,5,6]=>7
[-,6,2,+,3,5]=>[2,4,3,5,1,6]=>177
[+,6,2,-,3,5]=>[1,2,3,5,6,4]=>4
[-,6,2,-,3,5]=>[2,3,5,1,6,4]=>158
[+,6,2,+,+,3]=>[1,2,4,5,3,6]=>9
[-,6,2,+,+,3]=>[2,4,5,3,1,6]=>183
[+,6,2,-,+,3]=>[1,2,5,3,6,4]=>14
[+,6,2,+,-,3]=>[1,2,4,3,6,5]=>8
[-,6,2,-,+,3]=>[2,5,3,1,6,4]=>200
[-,6,2,+,-,3]=>[2,4,3,1,6,5]=>176
[+,6,2,-,-,3]=>[1,2,3,6,4,5]=>5
[-,6,2,-,-,3]=>[2,3,1,6,4,5]=>149
[+,6,2,5,3,4]=>[1,2,3,4,6,5]=>2
[-,6,2,5,3,4]=>[2,3,4,1,6,5]=>152
[+,6,2,5,4,3]=>[1,2,4,3,6,5]=>8
[-,6,2,5,4,3]=>[2,4,3,1,6,5]=>176
[+,6,+,2,4,5]=>[1,3,2,4,5,6]=>25
[-,6,+,2,4,5]=>[3,2,4,5,1,6]=>273
[+,6,-,2,4,5]=>[1,2,4,5,6,3]=>10
[-,6,-,2,4,5]=>[2,4,5,1,6,3]=>182
[+,6,+,2,+,4]=>[1,3,2,5,4,6]=>27
[-,6,+,2,+,4]=>[3,2,5,4,1,6]=>279
[+,6,-,2,+,4]=>[1,2,5,4,6,3]=>16
[+,6,+,2,-,4]=>[1,3,2,4,6,5]=>26
[-,6,-,2,+,4]=>[2,5,4,1,6,3]=>206
[-,6,+,2,-,4]=>[3,2,4,1,6,5]=>272
[+,6,-,2,-,4]=>[1,2,4,6,3,5]=>11
[-,6,-,2,-,4]=>[2,4,1,6,3,5]=>173
[+,6,+,+,2,5]=>[1,3,4,2,5,6]=>31
[-,6,+,+,2,5]=>[3,4,2,5,1,6]=>297
[+,6,-,+,2,5]=>[1,4,2,5,6,3]=>52
[+,6,+,-,2,5]=>[1,3,2,5,6,4]=>28
[-,6,-,+,2,5]=>[4,2,5,1,6,3]=>398
[-,6,+,-,2,5]=>[3,2,5,1,6,4]=>278
[+,6,-,-,2,5]=>[1,2,5,6,3,4]=>17
[-,6,-,-,2,5]=>[2,5,1,6,3,4]=>197
[+,6,+,+,+,2]=>[1,3,4,5,2,6]=>33
[-,6,+,+,+,2]=>[3,4,5,2,1,6]=>303
[+,6,-,+,+,2]=>[1,4,5,2,6,3]=>62
[+,6,+,-,+,2]=>[1,3,5,2,6,4]=>38
[+,6,+,+,-,2]=>[1,3,4,2,6,5]=>32
[-,6,-,+,+,2]=>[4,5,2,1,6,3]=>440
[-,6,+,-,+,2]=>[3,5,2,1,6,4]=>320
[-,6,+,+,-,2]=>[3,4,2,1,6,5]=>296
[+,6,-,-,+,2]=>[1,5,2,6,3,4]=>77
[+,6,-,+,-,2]=>[1,4,2,6,3,5]=>53
[+,6,+,-,-,2]=>[1,3,2,6,4,5]=>29
[-,6,-,-,+,2]=>[5,2,1,6,3,4]=>509
[-,6,-,+,-,2]=>[4,2,1,6,3,5]=>389
[-,6,+,-,-,2]=>[3,2,1,6,4,5]=>269
[+,6,-,-,-,2]=>[1,2,6,3,4,5]=>19
[-,6,-,-,-,2]=>[2,1,6,3,4,5]=>139
[+,6,+,5,2,4]=>[1,3,2,4,6,5]=>26
[-,6,+,5,2,4]=>[3,2,4,1,6,5]=>272
[+,6,-,5,2,4]=>[1,2,4,6,3,5]=>11
[-,6,-,5,2,4]=>[2,4,1,6,3,5]=>173
[+,6,+,5,4,2]=>[1,3,4,2,6,5]=>32
[-,6,+,5,4,2]=>[3,4,2,1,6,5]=>296
[+,6,-,5,4,2]=>[1,4,2,6,3,5]=>53
[-,6,-,5,4,2]=>[4,2,1,6,3,5]=>389
[+,6,4,2,3,5]=>[1,2,3,5,6,4]=>4
[-,6,4,2,3,5]=>[2,3,5,1,6,4]=>158
[+,6,4,2,+,3]=>[1,2,5,3,6,4]=>14
[-,6,4,2,+,3]=>[2,5,3,1,6,4]=>200
[+,6,4,2,-,3]=>[1,2,3,6,4,5]=>5
[-,6,4,2,-,3]=>[2,3,1,6,4,5]=>149
[+,6,4,3,2,5]=>[1,3,2,5,6,4]=>28
[-,6,4,3,2,5]=>[3,2,5,1,6,4]=>278
[+,6,4,3,+,2]=>[1,3,5,2,6,4]=>38
[-,6,4,3,+,2]=>[3,5,2,1,6,4]=>320
[+,6,4,3,-,2]=>[1,3,2,6,4,5]=>29
[-,6,4,3,-,2]=>[3,2,1,6,4,5]=>269
[+,6,4,5,2,3]=>[1,2,3,6,4,5]=>5
[-,6,4,5,2,3]=>[2,3,1,6,4,5]=>149
[+,6,4,5,3,2]=>[1,3,2,6,4,5]=>29
[-,6,4,5,3,2]=>[3,2,1,6,4,5]=>269
[+,6,5,2,3,4]=>[1,2,3,4,6,5]=>2
[-,6,5,2,3,4]=>[2,3,4,1,6,5]=>152
[+,6,5,2,4,3]=>[1,2,4,3,6,5]=>8
[-,6,5,2,4,3]=>[2,4,3,1,6,5]=>176
[+,6,5,3,2,4]=>[1,3,2,4,6,5]=>26
[-,6,5,3,2,4]=>[3,2,4,1,6,5]=>272
[+,6,5,3,4,2]=>[1,3,4,2,6,5]=>32
[-,6,5,3,4,2]=>[3,4,2,1,6,5]=>296
[+,6,5,+,2,3]=>[1,4,2,3,6,5]=>50
[-,6,5,+,2,3]=>[4,2,3,1,6,5]=>392
[+,6,5,-,2,3]=>[1,2,3,6,5,4]=>6
[-,6,5,-,2,3]=>[2,3,1,6,5,4]=>150
[+,6,5,+,3,2]=>[1,4,3,2,6,5]=>56
[-,6,5,+,3,2]=>[4,3,2,1,6,5]=>416
[+,6,5,-,3,2]=>[1,3,2,6,5,4]=>30
[-,6,5,-,3,2]=>[3,2,1,6,5,4]=>270
[2,1,+,+,+,+]=>[1,3,4,5,6,2]=>34
[2,1,-,+,+,+]=>[1,4,5,6,2,3]=>65
[2,1,+,-,+,+]=>[1,3,5,6,2,4]=>41
[2,1,+,+,-,+]=>[1,3,4,6,2,5]=>35
[2,1,+,+,+,-]=>[1,3,4,5,2,6]=>33
[2,1,-,-,+,+]=>[1,5,6,2,3,4]=>91
[2,1,-,+,-,+]=>[1,4,6,2,3,5]=>67
[2,1,-,+,+,-]=>[1,4,5,2,3,6]=>61
[2,1,+,-,-,+]=>[1,3,6,2,4,5]=>43
[2,1,+,-,+,-]=>[1,3,5,2,4,6]=>37
[2,1,+,+,-,-]=>[1,3,4,2,5,6]=>31
[2,1,-,-,-,+]=>[1,6,2,3,4,5]=>97
[2,1,-,-,+,-]=>[1,5,2,3,4,6]=>73
[2,1,-,+,-,-]=>[1,4,2,3,5,6]=>49
[2,1,+,-,-,-]=>[1,3,2,4,5,6]=>25
[2,1,-,-,-,-]=>[1,2,3,4,5,6]=>1
[2,1,+,+,6,5]=>[1,3,4,5,2,6]=>33
[2,1,-,+,6,5]=>[1,4,5,2,3,6]=>61
[2,1,+,-,6,5]=>[1,3,5,2,4,6]=>37
[2,1,-,-,6,5]=>[1,5,2,3,4,6]=>73
[2,1,+,5,4,+]=>[1,3,4,6,2,5]=>35
[2,1,-,5,4,+]=>[1,4,6,2,3,5]=>67
[2,1,+,5,4,-]=>[1,3,4,2,5,6]=>31
[2,1,-,5,4,-]=>[1,4,2,3,5,6]=>49
[2,1,+,5,6,4]=>[1,3,4,2,5,6]=>31
[2,1,-,5,6,4]=>[1,4,2,3,5,6]=>49
[2,1,+,6,4,5]=>[1,3,4,5,2,6]=>33
[2,1,-,6,4,5]=>[1,4,5,2,3,6]=>61
[2,1,+,6,+,4]=>[1,3,5,4,2,6]=>39
[2,1,-,6,+,4]=>[1,5,4,2,3,6]=>85
[2,1,+,6,-,4]=>[1,3,4,2,6,5]=>32
[2,1,-,6,-,4]=>[1,4,2,3,6,5]=>50
[2,1,4,3,+,+]=>[1,3,5,6,2,4]=>41
[2,1,4,3,-,+]=>[1,3,6,2,4,5]=>43
[2,1,4,3,+,-]=>[1,3,5,2,4,6]=>37
[2,1,4,3,-,-]=>[1,3,2,4,5,6]=>25
[2,1,4,3,6,5]=>[1,3,5,2,4,6]=>37
[2,1,4,5,3,+]=>[1,3,6,2,4,5]=>43
[2,1,4,5,3,-]=>[1,3,2,4,5,6]=>25
[2,1,4,5,6,3]=>[1,3,2,4,5,6]=>25
[2,1,4,6,3,5]=>[1,3,5,2,4,6]=>37
[2,1,4,6,+,3]=>[1,5,3,2,4,6]=>79
[2,1,4,6,-,3]=>[1,3,2,4,6,5]=>26
[2,1,5,3,4,+]=>[1,3,4,6,2,5]=>35
[2,1,5,3,4,-]=>[1,3,4,2,5,6]=>31
[2,1,5,3,6,4]=>[1,3,4,2,5,6]=>31
[2,1,5,+,3,+]=>[1,4,3,6,2,5]=>59
[2,1,5,-,3,+]=>[1,3,6,2,5,4]=>44
[2,1,5,+,3,-]=>[1,4,3,2,5,6]=>55
[2,1,5,-,3,-]=>[1,3,2,5,4,6]=>27
[2,1,5,+,6,3]=>[1,4,3,2,5,6]=>55
[2,1,5,-,6,3]=>[1,3,2,5,4,6]=>27
[2,1,5,6,3,4]=>[1,3,4,2,5,6]=>31
[2,1,5,6,4,3]=>[1,4,3,2,5,6]=>55
[2,1,6,3,4,5]=>[1,3,4,5,2,6]=>33
[2,1,6,3,+,4]=>[1,3,5,4,2,6]=>39
[2,1,6,3,-,4]=>[1,3,4,2,6,5]=>32
[2,1,6,+,3,5]=>[1,4,3,5,2,6]=>57
[2,1,6,-,3,5]=>[1,3,5,2,6,4]=>38
[2,1,6,+,+,3]=>[1,4,5,3,2,6]=>63
[2,1,6,-,+,3]=>[1,5,3,2,6,4]=>80
[2,1,6,+,-,3]=>[1,4,3,2,6,5]=>56
[2,1,6,-,-,3]=>[1,3,2,6,4,5]=>29
[2,1,6,5,3,4]=>[1,3,4,2,6,5]=>32
[2,1,6,5,4,3]=>[1,4,3,2,6,5]=>56
[2,3,1,+,+,+]=>[1,4,5,6,2,3]=>65
[2,3,1,-,+,+]=>[1,5,6,2,3,4]=>91
[2,3,1,+,-,+]=>[1,4,6,2,3,5]=>67
[2,3,1,+,+,-]=>[1,4,5,2,3,6]=>61
[2,3,1,-,-,+]=>[1,6,2,3,4,5]=>97
[2,3,1,-,+,-]=>[1,5,2,3,4,6]=>73
[2,3,1,+,-,-]=>[1,4,2,3,5,6]=>49
[2,3,1,-,-,-]=>[1,2,3,4,5,6]=>1
[2,3,1,+,6,5]=>[1,4,5,2,3,6]=>61
[2,3,1,-,6,5]=>[1,5,2,3,4,6]=>73
[2,3,1,5,4,+]=>[1,4,6,2,3,5]=>67
[2,3,1,5,4,-]=>[1,4,2,3,5,6]=>49
[2,3,1,5,6,4]=>[1,4,2,3,5,6]=>49
[2,3,1,6,4,5]=>[1,4,5,2,3,6]=>61
[2,3,1,6,+,4]=>[1,5,4,2,3,6]=>85
[2,3,1,6,-,4]=>[1,4,2,3,6,5]=>50
[2,3,4,1,+,+]=>[1,5,6,2,3,4]=>91
[2,3,4,1,-,+]=>[1,6,2,3,4,5]=>97
[2,3,4,1,+,-]=>[1,5,2,3,4,6]=>73
[2,3,4,1,-,-]=>[1,2,3,4,5,6]=>1
[2,3,4,1,6,5]=>[1,5,2,3,4,6]=>73
[2,3,4,5,1,+]=>[1,6,2,3,4,5]=>97
[2,3,4,5,1,-]=>[1,2,3,4,5,6]=>1
[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>1
[2,3,4,6,1,5]=>[1,5,2,3,4,6]=>73
[2,3,4,6,+,1]=>[5,1,2,3,4,6]=>481
[2,3,4,6,-,1]=>[1,2,3,4,6,5]=>2
[2,3,5,1,4,+]=>[1,4,6,2,3,5]=>67
[2,3,5,1,4,-]=>[1,4,2,3,5,6]=>49
[2,3,5,1,6,4]=>[1,4,2,3,5,6]=>49
[2,3,5,+,1,+]=>[4,1,6,2,3,5]=>379
[2,3,5,-,1,+]=>[1,6,2,3,5,4]=>98
[2,3,5,+,1,-]=>[4,1,2,3,5,6]=>361
[2,3,5,-,1,-]=>[1,2,3,5,4,6]=>3
[2,3,5,+,6,1]=>[4,1,2,3,5,6]=>361
[2,3,5,-,6,1]=>[1,2,3,5,4,6]=>3
[2,3,5,6,1,4]=>[1,4,2,3,5,6]=>49
[2,3,5,6,4,1]=>[4,1,2,3,5,6]=>361
[2,3,6,1,4,5]=>[1,4,5,2,3,6]=>61
[2,3,6,1,+,4]=>[1,5,4,2,3,6]=>85
[2,3,6,1,-,4]=>[1,4,2,3,6,5]=>50
[2,3,6,+,1,5]=>[4,1,5,2,3,6]=>373
[2,3,6,-,1,5]=>[1,5,2,3,6,4]=>74
[2,3,6,+,+,1]=>[4,5,1,2,3,6]=>433
[2,3,6,-,+,1]=>[5,1,2,3,6,4]=>482
[2,3,6,+,-,1]=>[4,1,2,3,6,5]=>362
[2,3,6,-,-,1]=>[1,2,3,6,4,5]=>5
[2,3,6,5,1,4]=>[1,4,2,3,6,5]=>50
[2,3,6,5,4,1]=>[4,1,2,3,6,5]=>362
[2,4,1,3,+,+]=>[1,3,5,6,2,4]=>41
[2,4,1,3,-,+]=>[1,3,6,2,4,5]=>43
[2,4,1,3,+,-]=>[1,3,5,2,4,6]=>37
[2,4,1,3,-,-]=>[1,3,2,4,5,6]=>25
[2,4,1,3,6,5]=>[1,3,5,2,4,6]=>37
[2,4,1,5,3,+]=>[1,3,6,2,4,5]=>43
[2,4,1,5,3,-]=>[1,3,2,4,5,6]=>25
[2,4,1,5,6,3]=>[1,3,2,4,5,6]=>25
[2,4,1,6,3,5]=>[1,3,5,2,4,6]=>37
[2,4,1,6,+,3]=>[1,5,3,2,4,6]=>79
[2,4,1,6,-,3]=>[1,3,2,4,6,5]=>26
[2,4,+,1,+,+]=>[3,1,5,6,2,4]=>257
[2,4,-,1,+,+]=>[1,5,6,2,4,3]=>92
[2,4,+,1,-,+]=>[3,1,6,2,4,5]=>259
[2,4,+,1,+,-]=>[3,1,5,2,4,6]=>253
[2,4,-,1,-,+]=>[1,6,2,4,3,5]=>99
[2,4,-,1,+,-]=>[1,5,2,4,3,6]=>75
[2,4,+,1,-,-]=>[3,1,2,4,5,6]=>241
[2,4,-,1,-,-]=>[1,2,4,3,5,6]=>7
[2,4,+,1,6,5]=>[3,1,5,2,4,6]=>253
[2,4,-,1,6,5]=>[1,5,2,4,3,6]=>75
[2,4,+,5,1,+]=>[3,1,6,2,4,5]=>259
[2,4,-,5,1,+]=>[1,6,2,4,3,5]=>99
[2,4,+,5,1,-]=>[3,1,2,4,5,6]=>241
[2,4,-,5,1,-]=>[1,2,4,3,5,6]=>7
[2,4,+,5,6,1]=>[3,1,2,4,5,6]=>241
[2,4,-,5,6,1]=>[1,2,4,3,5,6]=>7
[2,4,+,6,1,5]=>[3,1,5,2,4,6]=>253
[2,4,-,6,1,5]=>[1,5,2,4,3,6]=>75
[2,4,+,6,+,1]=>[3,5,1,2,4,6]=>313
[2,4,-,6,+,1]=>[5,1,2,4,3,6]=>483
[2,4,+,6,-,1]=>[3,1,2,4,6,5]=>242
[2,4,-,6,-,1]=>[1,2,4,3,6,5]=>8
[2,4,5,1,3,+]=>[1,3,6,2,4,5]=>43
[2,4,5,1,3,-]=>[1,3,2,4,5,6]=>25
[2,4,5,1,6,3]=>[1,3,2,4,5,6]=>25
[2,4,5,3,1,+]=>[3,1,6,2,4,5]=>259
[2,4,5,3,1,-]=>[3,1,2,4,5,6]=>241
[2,4,5,3,6,1]=>[3,1,2,4,5,6]=>241
[2,4,5,6,1,3]=>[1,3,2,4,5,6]=>25
[2,4,5,6,3,1]=>[3,1,2,4,5,6]=>241
[2,4,6,1,3,5]=>[1,3,5,2,4,6]=>37
[2,4,6,1,+,3]=>[1,5,3,2,4,6]=>79
[2,4,6,1,-,3]=>[1,3,2,4,6,5]=>26
[2,4,6,3,1,5]=>[3,1,5,2,4,6]=>253
[2,4,6,3,+,1]=>[3,5,1,2,4,6]=>313
[2,4,6,3,-,1]=>[3,1,2,4,6,5]=>242
[2,4,6,5,1,3]=>[1,3,2,4,6,5]=>26
[2,4,6,5,3,1]=>[3,1,2,4,6,5]=>242
[2,5,1,3,4,+]=>[1,3,4,6,2,5]=>35
[2,5,1,3,4,-]=>[1,3,4,2,5,6]=>31
[2,5,1,3,6,4]=>[1,3,4,2,5,6]=>31
[2,5,1,+,3,+]=>[1,4,3,6,2,5]=>59
[2,5,1,-,3,+]=>[1,3,6,2,5,4]=>44
[2,5,1,+,3,-]=>[1,4,3,2,5,6]=>55
[2,5,1,-,3,-]=>[1,3,2,5,4,6]=>27
[2,5,1,+,6,3]=>[1,4,3,2,5,6]=>55
[2,5,1,-,6,3]=>[1,3,2,5,4,6]=>27
[2,5,1,6,3,4]=>[1,3,4,2,5,6]=>31
[2,5,1,6,4,3]=>[1,4,3,2,5,6]=>55
[2,5,+,1,4,+]=>[3,1,4,6,2,5]=>251
[2,5,-,1,4,+]=>[1,4,6,2,5,3]=>68
[2,5,+,1,4,-]=>[3,1,4,2,5,6]=>247
[2,5,-,1,4,-]=>[1,4,2,5,3,6]=>51
[2,5,+,1,6,4]=>[3,1,4,2,5,6]=>247
[2,5,-,1,6,4]=>[1,4,2,5,3,6]=>51
[2,5,+,+,1,+]=>[3,4,1,6,2,5]=>293
[2,5,-,+,1,+]=>[4,1,6,2,5,3]=>380
[2,5,+,-,1,+]=>[3,1,6,2,5,4]=>260
[2,5,+,+,1,-]=>[3,4,1,2,5,6]=>289
[2,5,-,-,1,+]=>[1,6,2,5,3,4]=>101
[2,5,-,+,1,-]=>[4,1,2,5,3,6]=>363
[2,5,+,-,1,-]=>[3,1,2,5,4,6]=>243
[2,5,-,-,1,-]=>[1,2,5,3,4,6]=>13
[2,5,+,+,6,1]=>[3,4,1,2,5,6]=>289
[2,5,-,+,6,1]=>[4,1,2,5,3,6]=>363
[2,5,+,-,6,1]=>[3,1,2,5,4,6]=>243
[2,5,-,-,6,1]=>[1,2,5,3,4,6]=>13
[2,5,+,6,1,4]=>[3,1,4,2,5,6]=>247
[2,5,-,6,1,4]=>[1,4,2,5,3,6]=>51
[2,5,+,6,4,1]=>[3,4,1,2,5,6]=>289
[2,5,-,6,4,1]=>[4,1,2,5,3,6]=>363
[2,5,4,1,3,+]=>[1,3,6,2,5,4]=>44
[2,5,4,1,3,-]=>[1,3,2,5,4,6]=>27
[2,5,4,1,6,3]=>[1,3,2,5,4,6]=>27
[2,5,4,3,1,+]=>[3,1,6,2,5,4]=>260
[2,5,4,3,1,-]=>[3,1,2,5,4,6]=>243
[2,5,4,3,6,1]=>[3,1,2,5,4,6]=>243
[2,5,4,6,1,3]=>[1,3,2,5,4,6]=>27
[2,5,4,6,3,1]=>[3,1,2,5,4,6]=>243
[2,5,6,1,3,4]=>[1,3,4,2,5,6]=>31
[2,5,6,1,4,3]=>[1,4,3,2,5,6]=>55
[2,5,6,3,1,4]=>[3,1,4,2,5,6]=>247
[2,5,6,3,4,1]=>[3,4,1,2,5,6]=>289
[2,5,6,+,1,3]=>[4,1,3,2,5,6]=>367
[2,5,6,-,1,3]=>[1,3,2,5,6,4]=>28
[2,5,6,+,3,1]=>[4,3,1,2,5,6]=>409
[2,5,6,-,3,1]=>[3,1,2,5,6,4]=>244
[2,6,1,3,4,5]=>[1,3,4,5,2,6]=>33
[2,6,1,3,+,4]=>[1,3,5,4,2,6]=>39
[2,6,1,3,-,4]=>[1,3,4,2,6,5]=>32
[2,6,1,+,3,5]=>[1,4,3,5,2,6]=>57
[2,6,1,-,3,5]=>[1,3,5,2,6,4]=>38
[2,6,1,+,+,3]=>[1,4,5,3,2,6]=>63
[2,6,1,-,+,3]=>[1,5,3,2,6,4]=>80
[2,6,1,+,-,3]=>[1,4,3,2,6,5]=>56
[2,6,1,-,-,3]=>[1,3,2,6,4,5]=>29
[2,6,1,5,3,4]=>[1,3,4,2,6,5]=>32
[2,6,1,5,4,3]=>[1,4,3,2,6,5]=>56
[2,6,+,1,4,5]=>[3,1,4,5,2,6]=>249
[2,6,-,1,4,5]=>[1,4,5,2,6,3]=>62
[2,6,+,1,+,4]=>[3,1,5,4,2,6]=>255
[2,6,-,1,+,4]=>[1,5,4,2,6,3]=>86
[2,6,+,1,-,4]=>[3,1,4,2,6,5]=>248
[2,6,-,1,-,4]=>[1,4,2,6,3,5]=>53
[2,6,+,+,1,5]=>[3,4,1,5,2,6]=>291
[2,6,-,+,1,5]=>[4,1,5,2,6,3]=>374
[2,6,+,-,1,5]=>[3,1,5,2,6,4]=>254
[2,6,-,-,1,5]=>[1,5,2,6,3,4]=>77
[2,6,+,+,+,1]=>[3,4,5,1,2,6]=>301
[2,6,-,+,+,1]=>[4,5,1,2,6,3]=>434
[2,6,+,-,+,1]=>[3,5,1,2,6,4]=>314
[2,6,+,+,-,1]=>[3,4,1,2,6,5]=>290
[2,6,-,-,+,1]=>[5,1,2,6,3,4]=>485
[2,6,-,+,-,1]=>[4,1,2,6,3,5]=>365
[2,6,+,-,-,1]=>[3,1,2,6,4,5]=>245
[2,6,-,-,-,1]=>[1,2,6,3,4,5]=>19
[2,6,+,5,1,4]=>[3,1,4,2,6,5]=>248
[2,6,-,5,1,4]=>[1,4,2,6,3,5]=>53
[2,6,+,5,4,1]=>[3,4,1,2,6,5]=>290
[2,6,-,5,4,1]=>[4,1,2,6,3,5]=>365
[2,6,4,1,3,5]=>[1,3,5,2,6,4]=>38
[2,6,4,1,+,3]=>[1,5,3,2,6,4]=>80
[2,6,4,1,-,3]=>[1,3,2,6,4,5]=>29
[2,6,4,3,1,5]=>[3,1,5,2,6,4]=>254
[2,6,4,3,+,1]=>[3,5,1,2,6,4]=>314
[2,6,4,3,-,1]=>[3,1,2,6,4,5]=>245
[2,6,4,5,1,3]=>[1,3,2,6,4,5]=>29
[2,6,4,5,3,1]=>[3,1,2,6,4,5]=>245
[2,6,5,1,3,4]=>[1,3,4,2,6,5]=>32
[2,6,5,1,4,3]=>[1,4,3,2,6,5]=>56
[2,6,5,3,1,4]=>[3,1,4,2,6,5]=>248
[2,6,5,3,4,1]=>[3,4,1,2,6,5]=>290
[2,6,5,+,1,3]=>[4,1,3,2,6,5]=>368
[2,6,5,-,1,3]=>[1,3,2,6,5,4]=>30
[2,6,5,+,3,1]=>[4,3,1,2,6,5]=>410
[2,6,5,-,3,1]=>[3,1,2,6,5,4]=>246
[3,1,2,+,+,+]=>[1,2,4,5,6,3]=>10
[3,1,2,-,+,+]=>[1,2,5,6,3,4]=>17
[3,1,2,+,-,+]=>[1,2,4,6,3,5]=>11
[3,1,2,+,+,-]=>[1,2,4,5,3,6]=>9
[3,1,2,-,-,+]=>[1,2,6,3,4,5]=>19
[3,1,2,-,+,-]=>[1,2,5,3,4,6]=>13
[3,1,2,+,-,-]=>[1,2,4,3,5,6]=>7
[3,1,2,-,-,-]=>[1,2,3,4,5,6]=>1
[3,1,2,+,6,5]=>[1,2,4,5,3,6]=>9
[3,1,2,-,6,5]=>[1,2,5,3,4,6]=>13
[3,1,2,5,4,+]=>[1,2,4,6,3,5]=>11
[3,1,2,5,4,-]=>[1,2,4,3,5,6]=>7
[3,1,2,5,6,4]=>[1,2,4,3,5,6]=>7
[3,1,2,6,4,5]=>[1,2,4,5,3,6]=>9
[3,1,2,6,+,4]=>[1,2,5,4,3,6]=>15
[3,1,2,6,-,4]=>[1,2,4,3,6,5]=>8
[3,1,4,2,+,+]=>[1,2,5,6,3,4]=>17
[3,1,4,2,-,+]=>[1,2,6,3,4,5]=>19
[3,1,4,2,+,-]=>[1,2,5,3,4,6]=>13
[3,1,4,2,-,-]=>[1,2,3,4,5,6]=>1
[3,1,4,2,6,5]=>[1,2,5,3,4,6]=>13
[3,1,4,5,2,+]=>[1,2,6,3,4,5]=>19
[3,1,4,5,2,-]=>[1,2,3,4,5,6]=>1
[3,1,4,5,6,2]=>[1,2,3,4,5,6]=>1
[3,1,4,6,2,5]=>[1,2,5,3,4,6]=>13
[3,1,4,6,+,2]=>[1,5,2,3,4,6]=>73
[3,1,4,6,-,2]=>[1,2,3,4,6,5]=>2
[3,1,5,2,4,+]=>[1,2,4,6,3,5]=>11
[3,1,5,2,4,-]=>[1,2,4,3,5,6]=>7
[3,1,5,2,6,4]=>[1,2,4,3,5,6]=>7
[3,1,5,+,2,+]=>[1,4,2,6,3,5]=>53
[3,1,5,-,2,+]=>[1,2,6,3,5,4]=>20
[3,1,5,+,2,-]=>[1,4,2,3,5,6]=>49
[3,1,5,-,2,-]=>[1,2,3,5,4,6]=>3
[3,1,5,+,6,2]=>[1,4,2,3,5,6]=>49
[3,1,5,-,6,2]=>[1,2,3,5,4,6]=>3
[3,1,5,6,2,4]=>[1,2,4,3,5,6]=>7
[3,1,5,6,4,2]=>[1,4,2,3,5,6]=>49
[3,1,6,2,4,5]=>[1,2,4,5,3,6]=>9
[3,1,6,2,+,4]=>[1,2,5,4,3,6]=>15
[3,1,6,2,-,4]=>[1,2,4,3,6,5]=>8
[3,1,6,+,2,5]=>[1,4,2,5,3,6]=>51
[3,1,6,-,2,5]=>[1,2,5,3,6,4]=>14
[3,1,6,+,+,2]=>[1,4,5,2,3,6]=>61
[3,1,6,-,+,2]=>[1,5,2,3,6,4]=>74
[3,1,6,+,-,2]=>[1,4,2,3,6,5]=>50
[3,1,6,-,-,2]=>[1,2,3,6,4,5]=>5
[3,1,6,5,2,4]=>[1,2,4,3,6,5]=>8
[3,1,6,5,4,2]=>[1,4,2,3,6,5]=>50
[3,+,1,+,+,+]=>[2,1,4,5,6,3]=>130
[3,-,1,+,+,+]=>[1,4,5,6,3,2]=>66
[3,+,1,-,+,+]=>[2,1,5,6,3,4]=>137
[3,+,1,+,-,+]=>[2,1,4,6,3,5]=>131
[3,+,1,+,+,-]=>[2,1,4,5,3,6]=>129
[3,-,1,-,+,+]=>[1,5,6,3,2,4]=>93
[3,-,1,+,-,+]=>[1,4,6,3,2,5]=>69
[3,-,1,+,+,-]=>[1,4,5,3,2,6]=>63
[3,+,1,-,-,+]=>[2,1,6,3,4,5]=>139
[3,+,1,-,+,-]=>[2,1,5,3,4,6]=>133
[3,+,1,+,-,-]=>[2,1,4,3,5,6]=>127
[3,-,1,-,-,+]=>[1,6,3,2,4,5]=>103
[3,-,1,-,+,-]=>[1,5,3,2,4,6]=>79
[3,-,1,+,-,-]=>[1,4,3,2,5,6]=>55
[3,+,1,-,-,-]=>[2,1,3,4,5,6]=>121
[3,-,1,-,-,-]=>[1,3,2,4,5,6]=>25
[3,+,1,+,6,5]=>[2,1,4,5,3,6]=>129
[3,-,1,+,6,5]=>[1,4,5,3,2,6]=>63
[3,+,1,-,6,5]=>[2,1,5,3,4,6]=>133
[3,-,1,-,6,5]=>[1,5,3,2,4,6]=>79
[3,+,1,5,4,+]=>[2,1,4,6,3,5]=>131
[3,-,1,5,4,+]=>[1,4,6,3,2,5]=>69
[3,+,1,5,4,-]=>[2,1,4,3,5,6]=>127
[3,-,1,5,4,-]=>[1,4,3,2,5,6]=>55
[3,+,1,5,6,4]=>[2,1,4,3,5,6]=>127
[3,-,1,5,6,4]=>[1,4,3,2,5,6]=>55
[3,+,1,6,4,5]=>[2,1,4,5,3,6]=>129
[3,-,1,6,4,5]=>[1,4,5,3,2,6]=>63
[3,+,1,6,+,4]=>[2,1,5,4,3,6]=>135
[3,-,1,6,+,4]=>[1,5,4,3,2,6]=>87
[3,+,1,6,-,4]=>[2,1,4,3,6,5]=>128
[3,-,1,6,-,4]=>[1,4,3,2,6,5]=>56
[3,+,4,1,+,+]=>[2,1,5,6,3,4]=>137
[3,-,4,1,+,+]=>[1,5,6,3,2,4]=>93
[3,+,4,1,-,+]=>[2,1,6,3,4,5]=>139
[3,+,4,1,+,-]=>[2,1,5,3,4,6]=>133
[3,-,4,1,-,+]=>[1,6,3,2,4,5]=>103
[3,-,4,1,+,-]=>[1,5,3,2,4,6]=>79
[3,+,4,1,-,-]=>[2,1,3,4,5,6]=>121
[3,-,4,1,-,-]=>[1,3,2,4,5,6]=>25
[3,+,4,1,6,5]=>[2,1,5,3,4,6]=>133
[3,-,4,1,6,5]=>[1,5,3,2,4,6]=>79
[3,+,4,5,1,+]=>[2,1,6,3,4,5]=>139
[3,-,4,5,1,+]=>[1,6,3,2,4,5]=>103
[3,+,4,5,1,-]=>[2,1,3,4,5,6]=>121
[3,-,4,5,1,-]=>[1,3,2,4,5,6]=>25
[3,+,4,5,6,1]=>[2,1,3,4,5,6]=>121
[3,-,4,5,6,1]=>[1,3,2,4,5,6]=>25
[3,+,4,6,1,5]=>[2,1,5,3,4,6]=>133
[3,-,4,6,1,5]=>[1,5,3,2,4,6]=>79
[3,+,4,6,+,1]=>[2,5,1,3,4,6]=>193
[3,-,4,6,+,1]=>[5,1,3,2,4,6]=>487
[3,+,4,6,-,1]=>[2,1,3,4,6,5]=>122
[3,-,4,6,-,1]=>[1,3,2,4,6,5]=>26
[3,+,5,1,4,+]=>[2,1,4,6,3,5]=>131
[3,-,5,1,4,+]=>[1,4,6,3,2,5]=>69
[3,+,5,1,4,-]=>[2,1,4,3,5,6]=>127
[3,-,5,1,4,-]=>[1,4,3,2,5,6]=>55
[3,+,5,1,6,4]=>[2,1,4,3,5,6]=>127
[3,-,5,1,6,4]=>[1,4,3,2,5,6]=>55
[3,+,5,+,1,+]=>[2,4,1,6,3,5]=>173
[3,-,5,+,1,+]=>[4,1,6,3,2,5]=>381
[3,+,5,-,1,+]=>[2,1,6,3,5,4]=>140
[3,+,5,+,1,-]=>[2,4,1,3,5,6]=>169
[3,-,5,-,1,+]=>[1,6,3,2,5,4]=>104
[3,-,5,+,1,-]=>[4,1,3,2,5,6]=>367
[3,+,5,-,1,-]=>[2,1,3,5,4,6]=>123
[3,-,5,-,1,-]=>[1,3,2,5,4,6]=>27
[3,+,5,+,6,1]=>[2,4,1,3,5,6]=>169
[3,-,5,+,6,1]=>[4,1,3,2,5,6]=>367
[3,+,5,-,6,1]=>[2,1,3,5,4,6]=>123
[3,-,5,-,6,1]=>[1,3,2,5,4,6]=>27
[3,+,5,6,1,4]=>[2,1,4,3,5,6]=>127
[3,-,5,6,1,4]=>[1,4,3,2,5,6]=>55
[3,+,5,6,4,1]=>[2,4,1,3,5,6]=>169
[3,-,5,6,4,1]=>[4,1,3,2,5,6]=>367
[3,+,6,1,4,5]=>[2,1,4,5,3,6]=>129
[3,-,6,1,4,5]=>[1,4,5,3,2,6]=>63
[3,+,6,1,+,4]=>[2,1,5,4,3,6]=>135
[3,-,6,1,+,4]=>[1,5,4,3,2,6]=>87
[3,+,6,1,-,4]=>[2,1,4,3,6,5]=>128
[3,-,6,1,-,4]=>[1,4,3,2,6,5]=>56
[3,+,6,+,1,5]=>[2,4,1,5,3,6]=>171
[3,-,6,+,1,5]=>[4,1,5,3,2,6]=>375
[3,+,6,-,1,5]=>[2,1,5,3,6,4]=>134
[3,-,6,-,1,5]=>[1,5,3,2,6,4]=>80
[3,+,6,+,+,1]=>[2,4,5,1,3,6]=>181
[3,-,6,+,+,1]=>[4,5,1,3,2,6]=>435
[3,+,6,-,+,1]=>[2,5,1,3,6,4]=>194
[3,+,6,+,-,1]=>[2,4,1,3,6,5]=>170
[3,-,6,-,+,1]=>[5,1,3,2,6,4]=>488
[3,-,6,+,-,1]=>[4,1,3,2,6,5]=>368
[3,+,6,-,-,1]=>[2,1,3,6,4,5]=>125
[3,-,6,-,-,1]=>[1,3,2,6,4,5]=>29
[3,+,6,5,1,4]=>[2,1,4,3,6,5]=>128
[3,-,6,5,1,4]=>[1,4,3,2,6,5]=>56
[3,+,6,5,4,1]=>[2,4,1,3,6,5]=>170
[3,-,6,5,4,1]=>[4,1,3,2,6,5]=>368
[3,4,1,2,+,+]=>[1,2,5,6,3,4]=>17
[3,4,1,2,-,+]=>[1,2,6,3,4,5]=>19
[3,4,1,2,+,-]=>[1,2,5,3,4,6]=>13
[3,4,1,2,-,-]=>[1,2,3,4,5,6]=>1
[3,4,1,2,6,5]=>[1,2,5,3,4,6]=>13
[3,4,1,5,2,+]=>[1,2,6,3,4,5]=>19
[3,4,1,5,2,-]=>[1,2,3,4,5,6]=>1
[3,4,1,5,6,2]=>[1,2,3,4,5,6]=>1
[3,4,1,6,2,5]=>[1,2,5,3,4,6]=>13
[3,4,1,6,+,2]=>[1,5,2,3,4,6]=>73
[3,4,1,6,-,2]=>[1,2,3,4,6,5]=>2
[3,4,2,1,+,+]=>[2,1,5,6,3,4]=>137
[3,4,2,1,-,+]=>[2,1,6,3,4,5]=>139
[3,4,2,1,+,-]=>[2,1,5,3,4,6]=>133
[3,4,2,1,-,-]=>[2,1,3,4,5,6]=>121
[3,4,2,1,6,5]=>[2,1,5,3,4,6]=>133
[3,4,2,5,1,+]=>[2,1,6,3,4,5]=>139
[3,4,2,5,1,-]=>[2,1,3,4,5,6]=>121
[3,4,2,5,6,1]=>[2,1,3,4,5,6]=>121
[3,4,2,6,1,5]=>[2,1,5,3,4,6]=>133
[3,4,2,6,+,1]=>[2,5,1,3,4,6]=>193
[3,4,2,6,-,1]=>[2,1,3,4,6,5]=>122
[3,4,5,1,2,+]=>[1,2,6,3,4,5]=>19
[3,4,5,1,2,-]=>[1,2,3,4,5,6]=>1
[3,4,5,1,6,2]=>[1,2,3,4,5,6]=>1
[3,4,5,2,1,+]=>[2,1,6,3,4,5]=>139
[3,4,5,2,1,-]=>[2,1,3,4,5,6]=>121
[3,4,5,2,6,1]=>[2,1,3,4,5,6]=>121
[3,4,5,6,1,2]=>[1,2,3,4,5,6]=>1
[3,4,5,6,2,1]=>[2,1,3,4,5,6]=>121
[3,4,6,1,2,5]=>[1,2,5,3,4,6]=>13
[3,4,6,1,+,2]=>[1,5,2,3,4,6]=>73
[3,4,6,1,-,2]=>[1,2,3,4,6,5]=>2
[3,4,6,2,1,5]=>[2,1,5,3,4,6]=>133
[3,4,6,2,+,1]=>[2,5,1,3,4,6]=>193
[3,4,6,2,-,1]=>[2,1,3,4,6,5]=>122
[3,4,6,5,1,2]=>[1,2,3,4,6,5]=>2
[3,4,6,5,2,1]=>[2,1,3,4,6,5]=>122
[3,5,1,2,4,+]=>[1,2,4,6,3,5]=>11
[3,5,1,2,4,-]=>[1,2,4,3,5,6]=>7
[3,5,1,2,6,4]=>[1,2,4,3,5,6]=>7
[3,5,1,+,2,+]=>[1,4,2,6,3,5]=>53
[3,5,1,-,2,+]=>[1,2,6,3,5,4]=>20
[3,5,1,+,2,-]=>[1,4,2,3,5,6]=>49
[3,5,1,-,2,-]=>[1,2,3,5,4,6]=>3
[3,5,1,+,6,2]=>[1,4,2,3,5,6]=>49
[3,5,1,-,6,2]=>[1,2,3,5,4,6]=>3
[3,5,1,6,2,4]=>[1,2,4,3,5,6]=>7
[3,5,1,6,4,2]=>[1,4,2,3,5,6]=>49
[3,5,2,1,4,+]=>[2,1,4,6,3,5]=>131
[3,5,2,1,4,-]=>[2,1,4,3,5,6]=>127
[3,5,2,1,6,4]=>[2,1,4,3,5,6]=>127
[3,5,2,+,1,+]=>[2,4,1,6,3,5]=>173
[3,5,2,-,1,+]=>[2,1,6,3,5,4]=>140
[3,5,2,+,1,-]=>[2,4,1,3,5,6]=>169
[3,5,2,-,1,-]=>[2,1,3,5,4,6]=>123
[3,5,2,+,6,1]=>[2,4,1,3,5,6]=>169
[3,5,2,-,6,1]=>[2,1,3,5,4,6]=>123
[3,5,2,6,1,4]=>[2,1,4,3,5,6]=>127
[3,5,2,6,4,1]=>[2,4,1,3,5,6]=>169
[3,5,4,1,2,+]=>[1,2,6,3,5,4]=>20
[3,5,4,1,2,-]=>[1,2,3,5,4,6]=>3
[3,5,4,1,6,2]=>[1,2,3,5,4,6]=>3
[3,5,4,2,1,+]=>[2,1,6,3,5,4]=>140
[3,5,4,2,1,-]=>[2,1,3,5,4,6]=>123
[3,5,4,2,6,1]=>[2,1,3,5,4,6]=>123
[3,5,4,6,1,2]=>[1,2,3,5,4,6]=>3
[3,5,4,6,2,1]=>[2,1,3,5,4,6]=>123
[3,5,6,1,2,4]=>[1,2,4,3,5,6]=>7
[3,5,6,1,4,2]=>[1,4,2,3,5,6]=>49
[3,5,6,2,1,4]=>[2,1,4,3,5,6]=>127
[3,5,6,2,4,1]=>[2,4,1,3,5,6]=>169
[3,5,6,+,1,2]=>[4,1,2,3,5,6]=>361
[3,5,6,-,1,2]=>[1,2,3,5,6,4]=>4
[3,5,6,+,2,1]=>[4,2,1,3,5,6]=>385
[3,5,6,-,2,1]=>[2,1,3,5,6,4]=>124
[3,6,1,2,4,5]=>[1,2,4,5,3,6]=>9
[3,6,1,2,+,4]=>[1,2,5,4,3,6]=>15
[3,6,1,2,-,4]=>[1,2,4,3,6,5]=>8
[3,6,1,+,2,5]=>[1,4,2,5,3,6]=>51
[3,6,1,-,2,5]=>[1,2,5,3,6,4]=>14
[3,6,1,+,+,2]=>[1,4,5,2,3,6]=>61
[3,6,1,-,+,2]=>[1,5,2,3,6,4]=>74
[3,6,1,+,-,2]=>[1,4,2,3,6,5]=>50
[3,6,1,-,-,2]=>[1,2,3,6,4,5]=>5
[3,6,1,5,2,4]=>[1,2,4,3,6,5]=>8
[3,6,1,5,4,2]=>[1,4,2,3,6,5]=>50
[3,6,2,1,4,5]=>[2,1,4,5,3,6]=>129
[3,6,2,1,+,4]=>[2,1,5,4,3,6]=>135
[3,6,2,1,-,4]=>[2,1,4,3,6,5]=>128
[3,6,2,+,1,5]=>[2,4,1,5,3,6]=>171
[3,6,2,-,1,5]=>[2,1,5,3,6,4]=>134
[3,6,2,+,+,1]=>[2,4,5,1,3,6]=>181
[3,6,2,-,+,1]=>[2,5,1,3,6,4]=>194
[3,6,2,+,-,1]=>[2,4,1,3,6,5]=>170
[3,6,2,-,-,1]=>[2,1,3,6,4,5]=>125
[3,6,2,5,1,4]=>[2,1,4,3,6,5]=>128
[3,6,2,5,4,1]=>[2,4,1,3,6,5]=>170
[3,6,4,1,2,5]=>[1,2,5,3,6,4]=>14
[3,6,4,1,+,2]=>[1,5,2,3,6,4]=>74
[3,6,4,1,-,2]=>[1,2,3,6,4,5]=>5
[3,6,4,2,1,5]=>[2,1,5,3,6,4]=>134
[3,6,4,2,+,1]=>[2,5,1,3,6,4]=>194
[3,6,4,2,-,1]=>[2,1,3,6,4,5]=>125
[3,6,4,5,1,2]=>[1,2,3,6,4,5]=>5
[3,6,4,5,2,1]=>[2,1,3,6,4,5]=>125
[3,6,5,1,2,4]=>[1,2,4,3,6,5]=>8
[3,6,5,1,4,2]=>[1,4,2,3,6,5]=>50
[3,6,5,2,1,4]=>[2,1,4,3,6,5]=>128
[3,6,5,2,4,1]=>[2,4,1,3,6,5]=>170
[3,6,5,+,1,2]=>[4,1,2,3,6,5]=>362
[3,6,5,-,1,2]=>[1,2,3,6,5,4]=>6
[3,6,5,+,2,1]=>[4,2,1,3,6,5]=>386
[3,6,5,-,2,1]=>[2,1,3,6,5,4]=>126
[4,1,2,3,+,+]=>[1,2,3,5,6,4]=>4
[4,1,2,3,-,+]=>[1,2,3,6,4,5]=>5
[4,1,2,3,+,-]=>[1,2,3,5,4,6]=>3
[4,1,2,3,-,-]=>[1,2,3,4,5,6]=>1
[4,1,2,3,6,5]=>[1,2,3,5,4,6]=>3
[4,1,2,5,3,+]=>[1,2,3,6,4,5]=>5
[4,1,2,5,3,-]=>[1,2,3,4,5,6]=>1
[4,1,2,5,6,3]=>[1,2,3,4,5,6]=>1
[4,1,2,6,3,5]=>[1,2,3,5,4,6]=>3
[4,1,2,6,+,3]=>[1,2,5,3,4,6]=>13
[4,1,2,6,-,3]=>[1,2,3,4,6,5]=>2
[4,1,+,2,+,+]=>[1,3,2,5,6,4]=>28
[4,1,-,2,+,+]=>[1,2,5,6,4,3]=>18
[4,1,+,2,-,+]=>[1,3,2,6,4,5]=>29
[4,1,+,2,+,-]=>[1,3,2,5,4,6]=>27
[4,1,-,2,-,+]=>[1,2,6,4,3,5]=>21
[4,1,-,2,+,-]=>[1,2,5,4,3,6]=>15
[4,1,+,2,-,-]=>[1,3,2,4,5,6]=>25
[4,1,-,2,-,-]=>[1,2,4,3,5,6]=>7
[4,1,+,2,6,5]=>[1,3,2,5,4,6]=>27
[4,1,-,2,6,5]=>[1,2,5,4,3,6]=>15
[4,1,+,5,2,+]=>[1,3,2,6,4,5]=>29
[4,1,-,5,2,+]=>[1,2,6,4,3,5]=>21
[4,1,+,5,2,-]=>[1,3,2,4,5,6]=>25
[4,1,-,5,2,-]=>[1,2,4,3,5,6]=>7
[4,1,+,5,6,2]=>[1,3,2,4,5,6]=>25
[4,1,-,5,6,2]=>[1,2,4,3,5,6]=>7
[4,1,+,6,2,5]=>[1,3,2,5,4,6]=>27
[4,1,-,6,2,5]=>[1,2,5,4,3,6]=>15
[4,1,+,6,+,2]=>[1,3,5,2,4,6]=>37
[4,1,-,6,+,2]=>[1,5,2,4,3,6]=>75
[4,1,+,6,-,2]=>[1,3,2,4,6,5]=>26
[4,1,-,6,-,2]=>[1,2,4,3,6,5]=>8
[4,1,5,2,3,+]=>[1,2,3,6,4,5]=>5
[4,1,5,2,3,-]=>[1,2,3,4,5,6]=>1
[4,1,5,2,6,3]=>[1,2,3,4,5,6]=>1
[4,1,5,3,2,+]=>[1,3,2,6,4,5]=>29
[4,1,5,3,2,-]=>[1,3,2,4,5,6]=>25
[4,1,5,3,6,2]=>[1,3,2,4,5,6]=>25
[4,1,5,6,2,3]=>[1,2,3,4,5,6]=>1
[4,1,5,6,3,2]=>[1,3,2,4,5,6]=>25
[4,1,6,2,3,5]=>[1,2,3,5,4,6]=>3
[4,1,6,2,+,3]=>[1,2,5,3,4,6]=>13
[4,1,6,2,-,3]=>[1,2,3,4,6,5]=>2
[4,1,6,3,2,5]=>[1,3,2,5,4,6]=>27
[4,1,6,3,+,2]=>[1,3,5,2,4,6]=>37
[4,1,6,3,-,2]=>[1,3,2,4,6,5]=>26
[4,1,6,5,2,3]=>[1,2,3,4,6,5]=>2
[4,1,6,5,3,2]=>[1,3,2,4,6,5]=>26
[4,+,1,3,+,+]=>[2,1,3,5,6,4]=>124
[4,-,1,3,+,+]=>[1,3,5,6,4,2]=>42
[4,+,1,3,-,+]=>[2,1,3,6,4,5]=>125
[4,+,1,3,+,-]=>[2,1,3,5,4,6]=>123
[4,-,1,3,-,+]=>[1,3,6,4,2,5]=>45
[4,-,1,3,+,-]=>[1,3,5,4,2,6]=>39
[4,+,1,3,-,-]=>[2,1,3,4,5,6]=>121
[4,-,1,3,-,-]=>[1,3,4,2,5,6]=>31
[4,+,1,3,6,5]=>[2,1,3,5,4,6]=>123
[4,-,1,3,6,5]=>[1,3,5,4,2,6]=>39
[4,+,1,5,3,+]=>[2,1,3,6,4,5]=>125
[4,-,1,5,3,+]=>[1,3,6,4,2,5]=>45
[4,+,1,5,3,-]=>[2,1,3,4,5,6]=>121
[4,-,1,5,3,-]=>[1,3,4,2,5,6]=>31
[4,+,1,5,6,3]=>[2,1,3,4,5,6]=>121
[4,-,1,5,6,3]=>[1,3,4,2,5,6]=>31
[4,+,1,6,3,5]=>[2,1,3,5,4,6]=>123
[4,-,1,6,3,5]=>[1,3,5,4,2,6]=>39
[4,+,1,6,+,3]=>[2,1,5,3,4,6]=>133
[4,-,1,6,+,3]=>[1,5,3,4,2,6]=>81
[4,+,1,6,-,3]=>[2,1,3,4,6,5]=>122
[4,-,1,6,-,3]=>[1,3,4,2,6,5]=>32
[4,+,+,1,+,+]=>[2,3,1,5,6,4]=>148
[4,-,+,1,+,+]=>[3,1,5,6,4,2]=>258
[4,+,-,1,+,+]=>[2,1,5,6,4,3]=>138
[4,+,+,1,-,+]=>[2,3,1,6,4,5]=>149
[4,+,+,1,+,-]=>[2,3,1,5,4,6]=>147
[4,-,-,1,+,+]=>[1,5,6,4,2,3]=>95
[4,-,+,1,-,+]=>[3,1,6,4,2,5]=>261
[4,-,+,1,+,-]=>[3,1,5,4,2,6]=>255
[4,+,-,1,-,+]=>[2,1,6,4,3,5]=>141
[4,+,-,1,+,-]=>[2,1,5,4,3,6]=>135
[4,+,+,1,-,-]=>[2,3,1,4,5,6]=>145
[4,-,-,1,-,+]=>[1,6,4,2,3,5]=>109
[4,-,-,1,+,-]=>[1,5,4,2,3,6]=>85
[4,-,+,1,-,-]=>[3,1,4,2,5,6]=>247
[4,+,-,1,-,-]=>[2,1,4,3,5,6]=>127
[4,-,-,1,-,-]=>[1,4,2,3,5,6]=>49
[4,+,+,1,6,5]=>[2,3,1,5,4,6]=>147
[4,-,+,1,6,5]=>[3,1,5,4,2,6]=>255
[4,+,-,1,6,5]=>[2,1,5,4,3,6]=>135
[4,-,-,1,6,5]=>[1,5,4,2,3,6]=>85
[4,+,+,5,1,+]=>[2,3,1,6,4,5]=>149
[4,-,+,5,1,+]=>[3,1,6,4,2,5]=>261
[4,+,-,5,1,+]=>[2,1,6,4,3,5]=>141
[4,+,+,5,1,-]=>[2,3,1,4,5,6]=>145
[4,-,-,5,1,+]=>[1,6,4,2,3,5]=>109
[4,-,+,5,1,-]=>[3,1,4,2,5,6]=>247
[4,+,-,5,1,-]=>[2,1,4,3,5,6]=>127
[4,-,-,5,1,-]=>[1,4,2,3,5,6]=>49
[4,+,+,5,6,1]=>[2,3,1,4,5,6]=>145
[4,-,+,5,6,1]=>[3,1,4,2,5,6]=>247
[4,+,-,5,6,1]=>[2,1,4,3,5,6]=>127
[4,-,-,5,6,1]=>[1,4,2,3,5,6]=>49
[4,+,+,6,1,5]=>[2,3,1,5,4,6]=>147
[4,-,+,6,1,5]=>[3,1,5,4,2,6]=>255
[4,+,-,6,1,5]=>[2,1,5,4,3,6]=>135
[4,-,-,6,1,5]=>[1,5,4,2,3,6]=>85
[4,+,+,6,+,1]=>[2,3,5,1,4,6]=>157
[4,-,+,6,+,1]=>[3,5,1,4,2,6]=>315
[4,+,-,6,+,1]=>[2,5,1,4,3,6]=>195
[4,+,+,6,-,1]=>[2,3,1,4,6,5]=>146
[4,-,-,6,+,1]=>[5,1,4,2,3,6]=>493
[4,-,+,6,-,1]=>[3,1,4,2,6,5]=>248
[4,+,-,6,-,1]=>[2,1,4,3,6,5]=>128
[4,-,-,6,-,1]=>[1,4,2,3,6,5]=>50
[4,+,5,1,3,+]=>[2,1,3,6,4,5]=>125
[4,-,5,1,3,+]=>[1,3,6,4,2,5]=>45
[4,+,5,1,3,-]=>[2,1,3,4,5,6]=>121
[4,-,5,1,3,-]=>[1,3,4,2,5,6]=>31
[4,+,5,1,6,3]=>[2,1,3,4,5,6]=>121
[4,-,5,1,6,3]=>[1,3,4,2,5,6]=>31
[4,+,5,3,1,+]=>[2,3,1,6,4,5]=>149
[4,-,5,3,1,+]=>[3,1,6,4,2,5]=>261
[4,+,5,3,1,-]=>[2,3,1,4,5,6]=>145
[4,-,5,3,1,-]=>[3,1,4,2,5,6]=>247
[4,+,5,3,6,1]=>[2,3,1,4,5,6]=>145
[4,-,5,3,6,1]=>[3,1,4,2,5,6]=>247
[4,+,5,6,1,3]=>[2,1,3,4,5,6]=>121
[4,-,5,6,1,3]=>[1,3,4,2,5,6]=>31
[4,+,5,6,3,1]=>[2,3,1,4,5,6]=>145
[4,-,5,6,3,1]=>[3,1,4,2,5,6]=>247
[4,+,6,1,3,5]=>[2,1,3,5,4,6]=>123
[4,-,6,1,3,5]=>[1,3,5,4,2,6]=>39
[4,+,6,1,+,3]=>[2,1,5,3,4,6]=>133
[4,-,6,1,+,3]=>[1,5,3,4,2,6]=>81
[4,+,6,1,-,3]=>[2,1,3,4,6,5]=>122
[4,-,6,1,-,3]=>[1,3,4,2,6,5]=>32
[4,+,6,3,1,5]=>[2,3,1,5,4,6]=>147
[4,-,6,3,1,5]=>[3,1,5,4,2,6]=>255
[4,+,6,3,+,1]=>[2,3,5,1,4,6]=>157
[4,-,6,3,+,1]=>[3,5,1,4,2,6]=>315
[4,+,6,3,-,1]=>[2,3,1,4,6,5]=>146
[4,-,6,3,-,1]=>[3,1,4,2,6,5]=>248
[4,+,6,5,1,3]=>[2,1,3,4,6,5]=>122
[4,-,6,5,1,3]=>[1,3,4,2,6,5]=>32
[4,+,6,5,3,1]=>[2,3,1,4,6,5]=>146
[4,-,6,5,3,1]=>[3,1,4,2,6,5]=>248
[4,3,1,2,+,+]=>[1,2,5,6,4,3]=>18
[4,3,1,2,-,+]=>[1,2,6,4,3,5]=>21
[4,3,1,2,+,-]=>[1,2,5,4,3,6]=>15
[4,3,1,2,-,-]=>[1,2,4,3,5,6]=>7
[4,3,1,2,6,5]=>[1,2,5,4,3,6]=>15
[4,3,1,5,2,+]=>[1,2,6,4,3,5]=>21
[4,3,1,5,2,-]=>[1,2,4,3,5,6]=>7
[4,3,1,5,6,2]=>[1,2,4,3,5,6]=>7
[4,3,1,6,2,5]=>[1,2,5,4,3,6]=>15
[4,3,1,6,+,2]=>[1,5,2,4,3,6]=>75
[4,3,1,6,-,2]=>[1,2,4,3,6,5]=>8
[4,3,2,1,+,+]=>[2,1,5,6,4,3]=>138
[4,3,2,1,-,+]=>[2,1,6,4,3,5]=>141
[4,3,2,1,+,-]=>[2,1,5,4,3,6]=>135
[4,3,2,1,-,-]=>[2,1,4,3,5,6]=>127
[4,3,2,1,6,5]=>[2,1,5,4,3,6]=>135
[4,3,2,5,1,+]=>[2,1,6,4,3,5]=>141
[4,3,2,5,1,-]=>[2,1,4,3,5,6]=>127
[4,3,2,5,6,1]=>[2,1,4,3,5,6]=>127
[4,3,2,6,1,5]=>[2,1,5,4,3,6]=>135
[4,3,2,6,+,1]=>[2,5,1,4,3,6]=>195
[4,3,2,6,-,1]=>[2,1,4,3,6,5]=>128
[4,3,5,1,2,+]=>[1,2,6,4,3,5]=>21
[4,3,5,1,2,-]=>[1,2,4,3,5,6]=>7
[4,3,5,1,6,2]=>[1,2,4,3,5,6]=>7
[4,3,5,2,1,+]=>[2,1,6,4,3,5]=>141
[4,3,5,2,1,-]=>[2,1,4,3,5,6]=>127
[4,3,5,2,6,1]=>[2,1,4,3,5,6]=>127
[4,3,5,6,1,2]=>[1,2,4,3,5,6]=>7
[4,3,5,6,2,1]=>[2,1,4,3,5,6]=>127
[4,3,6,1,2,5]=>[1,2,5,4,3,6]=>15
[4,3,6,1,+,2]=>[1,5,2,4,3,6]=>75
[4,3,6,1,-,2]=>[1,2,4,3,6,5]=>8
[4,3,6,2,1,5]=>[2,1,5,4,3,6]=>135
[4,3,6,2,+,1]=>[2,5,1,4,3,6]=>195
[4,3,6,2,-,1]=>[2,1,4,3,6,5]=>128
[4,3,6,5,1,2]=>[1,2,4,3,6,5]=>8
[4,3,6,5,2,1]=>[2,1,4,3,6,5]=>128
[4,5,1,2,3,+]=>[1,2,3,6,4,5]=>5
[4,5,1,2,3,-]=>[1,2,3,4,5,6]=>1
[4,5,1,2,6,3]=>[1,2,3,4,5,6]=>1
[4,5,1,3,2,+]=>[1,3,2,6,4,5]=>29
[4,5,1,3,2,-]=>[1,3,2,4,5,6]=>25
[4,5,1,3,6,2]=>[1,3,2,4,5,6]=>25
[4,5,1,6,2,3]=>[1,2,3,4,5,6]=>1
[4,5,1,6,3,2]=>[1,3,2,4,5,6]=>25
[4,5,2,1,3,+]=>[2,1,3,6,4,5]=>125
[4,5,2,1,3,-]=>[2,1,3,4,5,6]=>121
[4,5,2,1,6,3]=>[2,1,3,4,5,6]=>121
[4,5,2,3,1,+]=>[2,3,1,6,4,5]=>149
[4,5,2,3,1,-]=>[2,3,1,4,5,6]=>145
[4,5,2,3,6,1]=>[2,3,1,4,5,6]=>145
[4,5,2,6,1,3]=>[2,1,3,4,5,6]=>121
[4,5,2,6,3,1]=>[2,3,1,4,5,6]=>145
[4,5,+,1,2,+]=>[3,1,2,6,4,5]=>245
[4,5,-,1,2,+]=>[1,2,6,4,5,3]=>22
[4,5,+,1,2,-]=>[3,1,2,4,5,6]=>241
[4,5,-,1,2,-]=>[1,2,4,5,3,6]=>9
[4,5,+,1,6,2]=>[3,1,2,4,5,6]=>241
[4,5,-,1,6,2]=>[1,2,4,5,3,6]=>9
[4,5,+,2,1,+]=>[3,2,1,6,4,5]=>269
[4,5,-,2,1,+]=>[2,1,6,4,5,3]=>142
[4,5,+,2,1,-]=>[3,2,1,4,5,6]=>265
[4,5,-,2,1,-]=>[2,1,4,5,3,6]=>129
[4,5,+,2,6,1]=>[3,2,1,4,5,6]=>265
[4,5,-,2,6,1]=>[2,1,4,5,3,6]=>129
[4,5,+,6,1,2]=>[3,1,2,4,5,6]=>241
[4,5,-,6,1,2]=>[1,2,4,5,3,6]=>9
[4,5,+,6,2,1]=>[3,2,1,4,5,6]=>265
[4,5,-,6,2,1]=>[2,1,4,5,3,6]=>129
[4,5,6,1,2,3]=>[1,2,3,4,5,6]=>1
[4,5,6,1,3,2]=>[1,3,2,4,5,6]=>25
[4,5,6,2,1,3]=>[2,1,3,4,5,6]=>121
[4,5,6,2,3,1]=>[2,3,1,4,5,6]=>145
[4,5,6,3,1,2]=>[3,1,2,4,5,6]=>241
[4,5,6,3,2,1]=>[3,2,1,4,5,6]=>265
[4,6,1,2,3,5]=>[1,2,3,5,4,6]=>3
[4,6,1,2,+,3]=>[1,2,5,3,4,6]=>13
[4,6,1,2,-,3]=>[1,2,3,4,6,5]=>2
[4,6,1,3,2,5]=>[1,3,2,5,4,6]=>27
[4,6,1,3,+,2]=>[1,3,5,2,4,6]=>37
[4,6,1,3,-,2]=>[1,3,2,4,6,5]=>26
[4,6,1,5,2,3]=>[1,2,3,4,6,5]=>2
[4,6,1,5,3,2]=>[1,3,2,4,6,5]=>26
[4,6,2,1,3,5]=>[2,1,3,5,4,6]=>123
[4,6,2,1,+,3]=>[2,1,5,3,4,6]=>133
[4,6,2,1,-,3]=>[2,1,3,4,6,5]=>122
[4,6,2,3,1,5]=>[2,3,1,5,4,6]=>147
[4,6,2,3,+,1]=>[2,3,5,1,4,6]=>157
[4,6,2,3,-,1]=>[2,3,1,4,6,5]=>146
[4,6,2,5,1,3]=>[2,1,3,4,6,5]=>122
[4,6,2,5,3,1]=>[2,3,1,4,6,5]=>146
[4,6,+,1,2,5]=>[3,1,2,5,4,6]=>243
[4,6,-,1,2,5]=>[1,2,5,4,6,3]=>16
[4,6,+,1,+,2]=>[3,1,5,2,4,6]=>253
[4,6,-,1,+,2]=>[1,5,2,4,6,3]=>76
[4,6,+,1,-,2]=>[3,1,2,4,6,5]=>242
[4,6,-,1,-,2]=>[1,2,4,6,3,5]=>11
[4,6,+,2,1,5]=>[3,2,1,5,4,6]=>267
[4,6,-,2,1,5]=>[2,1,5,4,6,3]=>136
[4,6,+,2,+,1]=>[3,2,5,1,4,6]=>277
[4,6,-,2,+,1]=>[2,5,1,4,6,3]=>196
[4,6,+,2,-,1]=>[3,2,1,4,6,5]=>266
[4,6,-,2,-,1]=>[2,1,4,6,3,5]=>131
[4,6,+,5,1,2]=>[3,1,2,4,6,5]=>242
[4,6,-,5,1,2]=>[1,2,4,6,3,5]=>11
[4,6,+,5,2,1]=>[3,2,1,4,6,5]=>266
[4,6,-,5,2,1]=>[2,1,4,6,3,5]=>131
[4,6,5,1,2,3]=>[1,2,3,4,6,5]=>2
[4,6,5,1,3,2]=>[1,3,2,4,6,5]=>26
[4,6,5,2,1,3]=>[2,1,3,4,6,5]=>122
[4,6,5,2,3,1]=>[2,3,1,4,6,5]=>146
[4,6,5,3,1,2]=>[3,1,2,4,6,5]=>242
[4,6,5,3,2,1]=>[3,2,1,4,6,5]=>266
[5,1,2,3,4,+]=>[1,2,3,4,6,5]=>2
[5,1,2,3,4,-]=>[1,2,3,4,5,6]=>1
[5,1,2,3,6,4]=>[1,2,3,4,5,6]=>1
[5,1,2,+,3,+]=>[1,2,4,3,6,5]=>8
[5,1,2,-,3,+]=>[1,2,3,6,5,4]=>6
[5,1,2,+,3,-]=>[1,2,4,3,5,6]=>7
[5,1,2,-,3,-]=>[1,2,3,5,4,6]=>3
[5,1,2,+,6,3]=>[1,2,4,3,5,6]=>7
[5,1,2,-,6,3]=>[1,2,3,5,4,6]=>3
[5,1,2,6,3,4]=>[1,2,3,4,5,6]=>1
[5,1,2,6,4,3]=>[1,2,4,3,5,6]=>7
[5,1,+,2,4,+]=>[1,3,2,4,6,5]=>26
[5,1,-,2,4,+]=>[1,2,4,6,5,3]=>12
[5,1,+,2,4,-]=>[1,3,2,4,5,6]=>25
[5,1,-,2,4,-]=>[1,2,4,5,3,6]=>9
[5,1,+,2,6,4]=>[1,3,2,4,5,6]=>25
[5,1,-,2,6,4]=>[1,2,4,5,3,6]=>9
[5,1,+,+,2,+]=>[1,3,4,2,6,5]=>32
[5,1,-,+,2,+]=>[1,4,2,6,5,3]=>54
[5,1,+,-,2,+]=>[1,3,2,6,5,4]=>30
[5,1,+,+,2,-]=>[1,3,4,2,5,6]=>31
[5,1,-,-,2,+]=>[1,2,6,5,3,4]=>23
[5,1,-,+,2,-]=>[1,4,2,5,3,6]=>51
[5,1,+,-,2,-]=>[1,3,2,5,4,6]=>27
[5,1,-,-,2,-]=>[1,2,5,3,4,6]=>13
[5,1,+,+,6,2]=>[1,3,4,2,5,6]=>31
[5,1,-,+,6,2]=>[1,4,2,5,3,6]=>51
[5,1,+,-,6,2]=>[1,3,2,5,4,6]=>27
[5,1,-,-,6,2]=>[1,2,5,3,4,6]=>13
[5,1,+,6,2,4]=>[1,3,2,4,5,6]=>25
[5,1,-,6,2,4]=>[1,2,4,5,3,6]=>9
[5,1,+,6,4,2]=>[1,3,4,2,5,6]=>31
[5,1,-,6,4,2]=>[1,4,2,5,3,6]=>51
[5,1,4,2,3,+]=>[1,2,3,6,5,4]=>6
[5,1,4,2,3,-]=>[1,2,3,5,4,6]=>3
[5,1,4,2,6,3]=>[1,2,3,5,4,6]=>3
[5,1,4,3,2,+]=>[1,3,2,6,5,4]=>30
[5,1,4,3,2,-]=>[1,3,2,5,4,6]=>27
[5,1,4,3,6,2]=>[1,3,2,5,4,6]=>27
[5,1,4,6,2,3]=>[1,2,3,5,4,6]=>3
[5,1,4,6,3,2]=>[1,3,2,5,4,6]=>27
[5,1,6,2,3,4]=>[1,2,3,4,5,6]=>1
[5,1,6,2,4,3]=>[1,2,4,3,5,6]=>7
[5,1,6,3,2,4]=>[1,3,2,4,5,6]=>25
[5,1,6,3,4,2]=>[1,3,4,2,5,6]=>31
[5,1,6,+,2,3]=>[1,4,2,3,5,6]=>49
[5,1,6,-,2,3]=>[1,2,3,5,6,4]=>4
[5,1,6,+,3,2]=>[1,4,3,2,5,6]=>55
[5,1,6,-,3,2]=>[1,3,2,5,6,4]=>28
[5,+,1,3,4,+]=>[2,1,3,4,6,5]=>122
[5,-,1,3,4,+]=>[1,3,4,6,5,2]=>36
[5,+,1,3,4,-]=>[2,1,3,4,5,6]=>121
[5,-,1,3,4,-]=>[1,3,4,5,2,6]=>33
[5,+,1,3,6,4]=>[2,1,3,4,5,6]=>121
[5,-,1,3,6,4]=>[1,3,4,5,2,6]=>33
[5,+,1,+,3,+]=>[2,1,4,3,6,5]=>128
[5,-,1,+,3,+]=>[1,4,3,6,5,2]=>60
[5,+,1,-,3,+]=>[2,1,3,6,5,4]=>126
[5,+,1,+,3,-]=>[2,1,4,3,5,6]=>127
[5,-,1,-,3,+]=>[1,3,6,5,2,4]=>47
[5,-,1,+,3,-]=>[1,4,3,5,2,6]=>57
[5,+,1,-,3,-]=>[2,1,3,5,4,6]=>123
[5,-,1,-,3,-]=>[1,3,5,2,4,6]=>37
[5,+,1,+,6,3]=>[2,1,4,3,5,6]=>127
[5,-,1,+,6,3]=>[1,4,3,5,2,6]=>57
[5,+,1,-,6,3]=>[2,1,3,5,4,6]=>123
[5,-,1,-,6,3]=>[1,3,5,2,4,6]=>37
[5,+,1,6,3,4]=>[2,1,3,4,5,6]=>121
[5,-,1,6,3,4]=>[1,3,4,5,2,6]=>33
[5,+,1,6,4,3]=>[2,1,4,3,5,6]=>127
[5,-,1,6,4,3]=>[1,4,3,5,2,6]=>57
[5,+,+,1,4,+]=>[2,3,1,4,6,5]=>146
[5,-,+,1,4,+]=>[3,1,4,6,5,2]=>252
[5,+,-,1,4,+]=>[2,1,4,6,5,3]=>132
[5,+,+,1,4,-]=>[2,3,1,4,5,6]=>145
[5,-,-,1,4,+]=>[1,4,6,5,2,3]=>71
[5,-,+,1,4,-]=>[3,1,4,5,2,6]=>249
[5,+,-,1,4,-]=>[2,1,4,5,3,6]=>129
[5,-,-,1,4,-]=>[1,4,5,2,3,6]=>61
[5,+,+,1,6,4]=>[2,3,1,4,5,6]=>145
[5,-,+,1,6,4]=>[3,1,4,5,2,6]=>249
[5,+,-,1,6,4]=>[2,1,4,5,3,6]=>129
[5,-,-,1,6,4]=>[1,4,5,2,3,6]=>61
[5,+,+,+,1,+]=>[2,3,4,1,6,5]=>152
[5,-,+,+,1,+]=>[3,4,1,6,5,2]=>294
[5,+,-,+,1,+]=>[2,4,1,6,5,3]=>174
[5,+,+,-,1,+]=>[2,3,1,6,5,4]=>150
[5,+,+,+,1,-]=>[2,3,4,1,5,6]=>151
[5,-,-,+,1,+]=>[4,1,6,5,2,3]=>383
[5,-,+,-,1,+]=>[3,1,6,5,2,4]=>263
[5,-,+,+,1,-]=>[3,4,1,5,2,6]=>291
[5,+,-,-,1,+]=>[2,1,6,5,3,4]=>143
[5,+,-,+,1,-]=>[2,4,1,5,3,6]=>171
[5,+,+,-,1,-]=>[2,3,1,5,4,6]=>147
[5,-,-,-,1,+]=>[1,6,5,2,3,4]=>115
[5,-,-,+,1,-]=>[4,1,5,2,3,6]=>373
[5,-,+,-,1,-]=>[3,1,5,2,4,6]=>253
[5,+,-,-,1,-]=>[2,1,5,3,4,6]=>133
[5,-,-,-,1,-]=>[1,5,2,3,4,6]=>73
[5,+,+,+,6,1]=>[2,3,4,1,5,6]=>151
[5,-,+,+,6,1]=>[3,4,1,5,2,6]=>291
[5,+,-,+,6,1]=>[2,4,1,5,3,6]=>171
[5,+,+,-,6,1]=>[2,3,1,5,4,6]=>147
[5,-,-,+,6,1]=>[4,1,5,2,3,6]=>373
[5,-,+,-,6,1]=>[3,1,5,2,4,6]=>253
[5,+,-,-,6,1]=>[2,1,5,3,4,6]=>133
[5,-,-,-,6,1]=>[1,5,2,3,4,6]=>73
[5,+,+,6,1,4]=>[2,3,1,4,5,6]=>145
[5,-,+,6,1,4]=>[3,1,4,5,2,6]=>249
[5,+,-,6,1,4]=>[2,1,4,5,3,6]=>129
[5,-,-,6,1,4]=>[1,4,5,2,3,6]=>61
[5,+,+,6,4,1]=>[2,3,4,1,5,6]=>151
[5,-,+,6,4,1]=>[3,4,1,5,2,6]=>291
[5,+,-,6,4,1]=>[2,4,1,5,3,6]=>171
[5,-,-,6,4,1]=>[4,1,5,2,3,6]=>373
[5,+,4,1,3,+]=>[2,1,3,6,5,4]=>126
[5,-,4,1,3,+]=>[1,3,6,5,2,4]=>47
[5,+,4,1,3,-]=>[2,1,3,5,4,6]=>123
[5,-,4,1,3,-]=>[1,3,5,2,4,6]=>37
[5,+,4,1,6,3]=>[2,1,3,5,4,6]=>123
[5,-,4,1,6,3]=>[1,3,5,2,4,6]=>37
[5,+,4,3,1,+]=>[2,3,1,6,5,4]=>150
[5,-,4,3,1,+]=>[3,1,6,5,2,4]=>263
[5,+,4,3,1,-]=>[2,3,1,5,4,6]=>147
[5,-,4,3,1,-]=>[3,1,5,2,4,6]=>253
[5,+,4,3,6,1]=>[2,3,1,5,4,6]=>147
[5,-,4,3,6,1]=>[3,1,5,2,4,6]=>253
[5,+,4,6,1,3]=>[2,1,3,5,4,6]=>123
[5,-,4,6,1,3]=>[1,3,5,2,4,6]=>37
[5,+,4,6,3,1]=>[2,3,1,5,4,6]=>147
[5,-,4,6,3,1]=>[3,1,5,2,4,6]=>253
[5,+,6,1,3,4]=>[2,1,3,4,5,6]=>121
[5,-,6,1,3,4]=>[1,3,4,5,2,6]=>33
[5,+,6,1,4,3]=>[2,1,4,3,5,6]=>127
[5,-,6,1,4,3]=>[1,4,3,5,2,6]=>57
[5,+,6,3,1,4]=>[2,3,1,4,5,6]=>145
[5,-,6,3,1,4]=>[3,1,4,5,2,6]=>249
[5,+,6,3,4,1]=>[2,3,4,1,5,6]=>151
[5,-,6,3,4,1]=>[3,4,1,5,2,6]=>291
[5,+,6,+,1,3]=>[2,4,1,3,5,6]=>169
[5,-,6,+,1,3]=>[4,1,3,5,2,6]=>369
[5,+,6,-,1,3]=>[2,1,3,5,6,4]=>124
[5,-,6,-,1,3]=>[1,3,5,2,6,4]=>38
[5,+,6,+,3,1]=>[2,4,3,1,5,6]=>175
[5,-,6,+,3,1]=>[4,3,1,5,2,6]=>411
[5,+,6,-,3,1]=>[2,3,1,5,6,4]=>148
[5,-,6,-,3,1]=>[3,1,5,2,6,4]=>254
[5,3,1,2,4,+]=>[1,2,4,6,5,3]=>12
[5,3,1,2,4,-]=>[1,2,4,5,3,6]=>9
[5,3,1,2,6,4]=>[1,2,4,5,3,6]=>9
[5,3,1,+,2,+]=>[1,4,2,6,5,3]=>54
[5,3,1,-,2,+]=>[1,2,6,5,3,4]=>23
[5,3,1,+,2,-]=>[1,4,2,5,3,6]=>51
[5,3,1,-,2,-]=>[1,2,5,3,4,6]=>13
[5,3,1,+,6,2]=>[1,4,2,5,3,6]=>51
[5,3,1,-,6,2]=>[1,2,5,3,4,6]=>13
[5,3,1,6,2,4]=>[1,2,4,5,3,6]=>9
[5,3,1,6,4,2]=>[1,4,2,5,3,6]=>51
[5,3,2,1,4,+]=>[2,1,4,6,5,3]=>132
[5,3,2,1,4,-]=>[2,1,4,5,3,6]=>129
[5,3,2,1,6,4]=>[2,1,4,5,3,6]=>129
[5,3,2,+,1,+]=>[2,4,1,6,5,3]=>174
[5,3,2,-,1,+]=>[2,1,6,5,3,4]=>143
[5,3,2,+,1,-]=>[2,4,1,5,3,6]=>171
[5,3,2,-,1,-]=>[2,1,5,3,4,6]=>133
[5,3,2,+,6,1]=>[2,4,1,5,3,6]=>171
[5,3,2,-,6,1]=>[2,1,5,3,4,6]=>133
[5,3,2,6,1,4]=>[2,1,4,5,3,6]=>129
[5,3,2,6,4,1]=>[2,4,1,5,3,6]=>171
[5,3,4,1,2,+]=>[1,2,6,5,3,4]=>23
[5,3,4,1,2,-]=>[1,2,5,3,4,6]=>13
[5,3,4,1,6,2]=>[1,2,5,3,4,6]=>13
[5,3,4,2,1,+]=>[2,1,6,5,3,4]=>143
[5,3,4,2,1,-]=>[2,1,5,3,4,6]=>133
[5,3,4,2,6,1]=>[2,1,5,3,4,6]=>133
[5,3,4,6,1,2]=>[1,2,5,3,4,6]=>13
[5,3,4,6,2,1]=>[2,1,5,3,4,6]=>133
[5,3,6,1,2,4]=>[1,2,4,5,3,6]=>9
[5,3,6,1,4,2]=>[1,4,2,5,3,6]=>51
[5,3,6,2,1,4]=>[2,1,4,5,3,6]=>129
[5,3,6,2,4,1]=>[2,4,1,5,3,6]=>171
[5,3,6,+,1,2]=>[4,1,2,5,3,6]=>363
[5,3,6,-,1,2]=>[1,2,5,3,6,4]=>14
[5,3,6,+,2,1]=>[4,2,1,5,3,6]=>387
[5,3,6,-,2,1]=>[2,1,5,3,6,4]=>134
[5,4,1,2,3,+]=>[1,2,3,6,5,4]=>6
[5,4,1,2,3,-]=>[1,2,3,5,4,6]=>3
[5,4,1,2,6,3]=>[1,2,3,5,4,6]=>3
[5,4,1,3,2,+]=>[1,3,2,6,5,4]=>30
[5,4,1,3,2,-]=>[1,3,2,5,4,6]=>27
[5,4,1,3,6,2]=>[1,3,2,5,4,6]=>27
[5,4,1,6,2,3]=>[1,2,3,5,4,6]=>3
[5,4,1,6,3,2]=>[1,3,2,5,4,6]=>27
[5,4,2,1,3,+]=>[2,1,3,6,5,4]=>126
[5,4,2,1,3,-]=>[2,1,3,5,4,6]=>123
[5,4,2,1,6,3]=>[2,1,3,5,4,6]=>123
[5,4,2,3,1,+]=>[2,3,1,6,5,4]=>150
[5,4,2,3,1,-]=>[2,3,1,5,4,6]=>147
[5,4,2,3,6,1]=>[2,3,1,5,4,6]=>147
[5,4,2,6,1,3]=>[2,1,3,5,4,6]=>123
[5,4,2,6,3,1]=>[2,3,1,5,4,6]=>147
[5,4,+,1,2,+]=>[3,1,2,6,5,4]=>246
[5,4,-,1,2,+]=>[1,2,6,5,4,3]=>24
[5,4,+,1,2,-]=>[3,1,2,5,4,6]=>243
[5,4,-,1,2,-]=>[1,2,5,4,3,6]=>15
[5,4,+,1,6,2]=>[3,1,2,5,4,6]=>243
[5,4,-,1,6,2]=>[1,2,5,4,3,6]=>15
[5,4,+,2,1,+]=>[3,2,1,6,5,4]=>270
[5,4,-,2,1,+]=>[2,1,6,5,4,3]=>144
[5,4,+,2,1,-]=>[3,2,1,5,4,6]=>267
[5,4,-,2,1,-]=>[2,1,5,4,3,6]=>135
[5,4,+,2,6,1]=>[3,2,1,5,4,6]=>267
[5,4,-,2,6,1]=>[2,1,5,4,3,6]=>135
[5,4,+,6,1,2]=>[3,1,2,5,4,6]=>243
[5,4,-,6,1,2]=>[1,2,5,4,3,6]=>15
[5,4,+,6,2,1]=>[3,2,1,5,4,6]=>267
[5,4,-,6,2,1]=>[2,1,5,4,3,6]=>135
[5,4,6,1,2,3]=>[1,2,3,5,4,6]=>3
[5,4,6,1,3,2]=>[1,3,2,5,4,6]=>27
[5,4,6,2,1,3]=>[2,1,3,5,4,6]=>123
[5,4,6,2,3,1]=>[2,3,1,5,4,6]=>147
[5,4,6,3,1,2]=>[3,1,2,5,4,6]=>243
[5,4,6,3,2,1]=>[3,2,1,5,4,6]=>267
[5,6,1,2,3,4]=>[1,2,3,4,5,6]=>1
[5,6,1,2,4,3]=>[1,2,4,3,5,6]=>7
[5,6,1,3,2,4]=>[1,3,2,4,5,6]=>25
[5,6,1,3,4,2]=>[1,3,4,2,5,6]=>31
[5,6,1,+,2,3]=>[1,4,2,3,5,6]=>49
[5,6,1,-,2,3]=>[1,2,3,5,6,4]=>4
[5,6,1,+,3,2]=>[1,4,3,2,5,6]=>55
[5,6,1,-,3,2]=>[1,3,2,5,6,4]=>28
[5,6,2,1,3,4]=>[2,1,3,4,5,6]=>121
[5,6,2,1,4,3]=>[2,1,4,3,5,6]=>127
[5,6,2,3,1,4]=>[2,3,1,4,5,6]=>145
[5,6,2,3,4,1]=>[2,3,4,1,5,6]=>151
[5,6,2,+,1,3]=>[2,4,1,3,5,6]=>169
[5,6,2,-,1,3]=>[2,1,3,5,6,4]=>124
[5,6,2,+,3,1]=>[2,4,3,1,5,6]=>175
[5,6,2,-,3,1]=>[2,3,1,5,6,4]=>148
[5,6,+,1,2,4]=>[3,1,2,4,5,6]=>241
[5,6,-,1,2,4]=>[1,2,4,5,6,3]=>10
[5,6,+,1,4,2]=>[3,1,4,2,5,6]=>247
[5,6,-,1,4,2]=>[1,4,2,5,6,3]=>52
[5,6,+,2,1,4]=>[3,2,1,4,5,6]=>265
[5,6,-,2,1,4]=>[2,1,4,5,6,3]=>130
[5,6,+,2,4,1]=>[3,2,4,1,5,6]=>271
[5,6,-,2,4,1]=>[2,4,1,5,6,3]=>172
[5,6,+,+,1,2]=>[3,4,1,2,5,6]=>289
[5,6,-,+,1,2]=>[4,1,2,5,6,3]=>364
[5,6,+,-,1,2]=>[3,1,2,5,6,4]=>244
[5,6,-,-,1,2]=>[1,2,5,6,3,4]=>17
[5,6,+,+,2,1]=>[3,4,2,1,5,6]=>295
[5,6,-,+,2,1]=>[4,2,1,5,6,3]=>388
[5,6,+,-,2,1]=>[3,2,1,5,6,4]=>268
[5,6,-,-,2,1]=>[2,1,5,6,3,4]=>137
[5,6,4,1,2,3]=>[1,2,3,5,6,4]=>4
[5,6,4,1,3,2]=>[1,3,2,5,6,4]=>28
[5,6,4,2,1,3]=>[2,1,3,5,6,4]=>124
[5,6,4,2,3,1]=>[2,3,1,5,6,4]=>148
[5,6,4,3,1,2]=>[3,1,2,5,6,4]=>244
[5,6,4,3,2,1]=>[3,2,1,5,6,4]=>268
[6,1,2,3,4,5]=>[1,2,3,4,5,6]=>1
[6,1,2,3,+,4]=>[1,2,3,5,4,6]=>3
[6,1,2,3,-,4]=>[1,2,3,4,6,5]=>2
[6,1,2,+,3,5]=>[1,2,4,3,5,6]=>7
[6,1,2,-,3,5]=>[1,2,3,5,6,4]=>4
[6,1,2,+,+,3]=>[1,2,4,5,3,6]=>9
[6,1,2,-,+,3]=>[1,2,5,3,6,4]=>14
[6,1,2,+,-,3]=>[1,2,4,3,6,5]=>8
[6,1,2,-,-,3]=>[1,2,3,6,4,5]=>5
[6,1,2,5,3,4]=>[1,2,3,4,6,5]=>2
[6,1,2,5,4,3]=>[1,2,4,3,6,5]=>8
[6,1,+,2,4,5]=>[1,3,2,4,5,6]=>25
[6,1,-,2,4,5]=>[1,2,4,5,6,3]=>10
[6,1,+,2,+,4]=>[1,3,2,5,4,6]=>27
[6,1,-,2,+,4]=>[1,2,5,4,6,3]=>16
[6,1,+,2,-,4]=>[1,3,2,4,6,5]=>26
[6,1,-,2,-,4]=>[1,2,4,6,3,5]=>11
[6,1,+,+,2,5]=>[1,3,4,2,5,6]=>31
[6,1,-,+,2,5]=>[1,4,2,5,6,3]=>52
[6,1,+,-,2,5]=>[1,3,2,5,6,4]=>28
[6,1,-,-,2,5]=>[1,2,5,6,3,4]=>17
[6,1,+,+,+,2]=>[1,3,4,5,2,6]=>33
[6,1,-,+,+,2]=>[1,4,5,2,6,3]=>62
[6,1,+,-,+,2]=>[1,3,5,2,6,4]=>38
[6,1,+,+,-,2]=>[1,3,4,2,6,5]=>32
[6,1,-,-,+,2]=>[1,5,2,6,3,4]=>77
[6,1,-,+,-,2]=>[1,4,2,6,3,5]=>53
[6,1,+,-,-,2]=>[1,3,2,6,4,5]=>29
[6,1,-,-,-,2]=>[1,2,6,3,4,5]=>19
[6,1,+,5,2,4]=>[1,3,2,4,6,5]=>26
[6,1,-,5,2,4]=>[1,2,4,6,3,5]=>11
[6,1,+,5,4,2]=>[1,3,4,2,6,5]=>32
[6,1,-,5,4,2]=>[1,4,2,6,3,5]=>53
[6,1,4,2,3,5]=>[1,2,3,5,6,4]=>4
[6,1,4,2,+,3]=>[1,2,5,3,6,4]=>14
[6,1,4,2,-,3]=>[1,2,3,6,4,5]=>5
[6,1,4,3,2,5]=>[1,3,2,5,6,4]=>28
[6,1,4,3,+,2]=>[1,3,5,2,6,4]=>38
[6,1,4,3,-,2]=>[1,3,2,6,4,5]=>29
[6,1,4,5,2,3]=>[1,2,3,6,4,5]=>5
[6,1,4,5,3,2]=>[1,3,2,6,4,5]=>29
[6,1,5,2,3,4]=>[1,2,3,4,6,5]=>2
[6,1,5,2,4,3]=>[1,2,4,3,6,5]=>8
[6,1,5,3,2,4]=>[1,3,2,4,6,5]=>26
[6,1,5,3,4,2]=>[1,3,4,2,6,5]=>32
[6,1,5,+,2,3]=>[1,4,2,3,6,5]=>50
[6,1,5,-,2,3]=>[1,2,3,6,5,4]=>6
[6,1,5,+,3,2]=>[1,4,3,2,6,5]=>56
[6,1,5,-,3,2]=>[1,3,2,6,5,4]=>30
[6,+,1,3,4,5]=>[2,1,3,4,5,6]=>121
[6,-,1,3,4,5]=>[1,3,4,5,6,2]=>34
[6,+,1,3,+,4]=>[2,1,3,5,4,6]=>123
[6,-,1,3,+,4]=>[1,3,5,4,6,2]=>40
[6,+,1,3,-,4]=>[2,1,3,4,6,5]=>122
[6,-,1,3,-,4]=>[1,3,4,6,2,5]=>35
[6,+,1,+,3,5]=>[2,1,4,3,5,6]=>127
[6,-,1,+,3,5]=>[1,4,3,5,6,2]=>58
[6,+,1,-,3,5]=>[2,1,3,5,6,4]=>124
[6,-,1,-,3,5]=>[1,3,5,6,2,4]=>41
[6,+,1,+,+,3]=>[2,1,4,5,3,6]=>129
[6,-,1,+,+,3]=>[1,4,5,3,6,2]=>64
[6,+,1,-,+,3]=>[2,1,5,3,6,4]=>134
[6,+,1,+,-,3]=>[2,1,4,3,6,5]=>128
[6,-,1,-,+,3]=>[1,5,3,6,2,4]=>83
[6,-,1,+,-,3]=>[1,4,3,6,2,5]=>59
[6,+,1,-,-,3]=>[2,1,3,6,4,5]=>125
[6,-,1,-,-,3]=>[1,3,6,2,4,5]=>43
[6,+,1,5,3,4]=>[2,1,3,4,6,5]=>122
[6,-,1,5,3,4]=>[1,3,4,6,2,5]=>35
[6,+,1,5,4,3]=>[2,1,4,3,6,5]=>128
[6,-,1,5,4,3]=>[1,4,3,6,2,5]=>59
[6,+,+,1,4,5]=>[2,3,1,4,5,6]=>145
[6,-,+,1,4,5]=>[3,1,4,5,6,2]=>250
[6,+,-,1,4,5]=>[2,1,4,5,6,3]=>130
[6,-,-,1,4,5]=>[1,4,5,6,2,3]=>65
[6,+,+,1,+,4]=>[2,3,1,5,4,6]=>147
[6,-,+,1,+,4]=>[3,1,5,4,6,2]=>256
[6,+,-,1,+,4]=>[2,1,5,4,6,3]=>136
[6,+,+,1,-,4]=>[2,3,1,4,6,5]=>146
[6,-,-,1,+,4]=>[1,5,4,6,2,3]=>89
[6,-,+,1,-,4]=>[3,1,4,6,2,5]=>251
[6,+,-,1,-,4]=>[2,1,4,6,3,5]=>131
[6,-,-,1,-,4]=>[1,4,6,2,3,5]=>67
[6,+,+,+,1,5]=>[2,3,4,1,5,6]=>151
[6,-,+,+,1,5]=>[3,4,1,5,6,2]=>292
[6,+,-,+,1,5]=>[2,4,1,5,6,3]=>172
[6,+,+,-,1,5]=>[2,3,1,5,6,4]=>148
[6,-,-,+,1,5]=>[4,1,5,6,2,3]=>377
[6,-,+,-,1,5]=>[3,1,5,6,2,4]=>257
[6,+,-,-,1,5]=>[2,1,5,6,3,4]=>137
[6,-,-,-,1,5]=>[1,5,6,2,3,4]=>91
[6,+,+,+,+,1]=>[2,3,4,5,1,6]=>153
[6,-,+,+,+,1]=>[3,4,5,1,6,2]=>302
[6,+,-,+,+,1]=>[2,4,5,1,6,3]=>182
[6,+,+,-,+,1]=>[2,3,5,1,6,4]=>158
[6,+,+,+,-,1]=>[2,3,4,1,6,5]=>152
[6,-,-,+,+,1]=>[4,5,1,6,2,3]=>437
[6,-,+,-,+,1]=>[3,5,1,6,2,4]=>317
[6,-,+,+,-,1]=>[3,4,1,6,2,5]=>293
[6,+,-,-,+,1]=>[2,5,1,6,3,4]=>197
[6,+,-,+,-,1]=>[2,4,1,6,3,5]=>173
[6,+,+,-,-,1]=>[2,3,1,6,4,5]=>149
[6,-,-,-,+,1]=>[5,1,6,2,3,4]=>499
[6,-,-,+,-,1]=>[4,1,6,2,3,5]=>379
[6,-,+,-,-,1]=>[3,1,6,2,4,5]=>259
[6,+,-,-,-,1]=>[2,1,6,3,4,5]=>139
[6,-,-,-,-,1]=>[1,6,2,3,4,5]=>97
[6,+,+,5,1,4]=>[2,3,1,4,6,5]=>146
[6,-,+,5,1,4]=>[3,1,4,6,2,5]=>251
[6,+,-,5,1,4]=>[2,1,4,6,3,5]=>131
[6,-,-,5,1,4]=>[1,4,6,2,3,5]=>67
[6,+,+,5,4,1]=>[2,3,4,1,6,5]=>152
[6,-,+,5,4,1]=>[3,4,1,6,2,5]=>293
[6,+,-,5,4,1]=>[2,4,1,6,3,5]=>173
[6,-,-,5,4,1]=>[4,1,6,2,3,5]=>379
[6,+,4,1,3,5]=>[2,1,3,5,6,4]=>124
[6,-,4,1,3,5]=>[1,3,5,6,2,4]=>41
[6,+,4,1,+,3]=>[2,1,5,3,6,4]=>134
[6,-,4,1,+,3]=>[1,5,3,6,2,4]=>83
[6,+,4,1,-,3]=>[2,1,3,6,4,5]=>125
[6,-,4,1,-,3]=>[1,3,6,2,4,5]=>43
[6,+,4,3,1,5]=>[2,3,1,5,6,4]=>148
[6,-,4,3,1,5]=>[3,1,5,6,2,4]=>257
[6,+,4,3,+,1]=>[2,3,5,1,6,4]=>158
[6,-,4,3,+,1]=>[3,5,1,6,2,4]=>317
[6,+,4,3,-,1]=>[2,3,1,6,4,5]=>149
[6,-,4,3,-,1]=>[3,1,6,2,4,5]=>259
[6,+,4,5,1,3]=>[2,1,3,6,4,5]=>125
[6,-,4,5,1,3]=>[1,3,6,2,4,5]=>43
[6,+,4,5,3,1]=>[2,3,1,6,4,5]=>149
[6,-,4,5,3,1]=>[3,1,6,2,4,5]=>259
[6,+,5,1,3,4]=>[2,1,3,4,6,5]=>122
[6,-,5,1,3,4]=>[1,3,4,6,2,5]=>35
[6,+,5,1,4,3]=>[2,1,4,3,6,5]=>128
[6,-,5,1,4,3]=>[1,4,3,6,2,5]=>59
[6,+,5,3,1,4]=>[2,3,1,4,6,5]=>146
[6,-,5,3,1,4]=>[3,1,4,6,2,5]=>251
[6,+,5,3,4,1]=>[2,3,4,1,6,5]=>152
[6,-,5,3,4,1]=>[3,4,1,6,2,5]=>293
[6,+,5,+,1,3]=>[2,4,1,3,6,5]=>170
[6,-,5,+,1,3]=>[4,1,3,6,2,5]=>371
[6,+,5,-,1,3]=>[2,1,3,6,5,4]=>126
[6,-,5,-,1,3]=>[1,3,6,2,5,4]=>44
[6,+,5,+,3,1]=>[2,4,3,1,6,5]=>176
[6,-,5,+,3,1]=>[4,3,1,6,2,5]=>413
[6,+,5,-,3,1]=>[2,3,1,6,5,4]=>150
[6,-,5,-,3,1]=>[3,1,6,2,5,4]=>260
[6,3,1,2,4,5]=>[1,2,4,5,6,3]=>10
[6,3,1,2,+,4]=>[1,2,5,4,6,3]=>16
[6,3,1,2,-,4]=>[1,2,4,6,3,5]=>11
[6,3,1,+,2,5]=>[1,4,2,5,6,3]=>52
[6,3,1,-,2,5]=>[1,2,5,6,3,4]=>17
[6,3,1,+,+,2]=>[1,4,5,2,6,3]=>62
[6,3,1,-,+,2]=>[1,5,2,6,3,4]=>77
[6,3,1,+,-,2]=>[1,4,2,6,3,5]=>53
[6,3,1,-,-,2]=>[1,2,6,3,4,5]=>19
[6,3,1,5,2,4]=>[1,2,4,6,3,5]=>11
[6,3,1,5,4,2]=>[1,4,2,6,3,5]=>53
[6,3,2,1,4,5]=>[2,1,4,5,6,3]=>130
[6,3,2,1,+,4]=>[2,1,5,4,6,3]=>136
[6,3,2,1,-,4]=>[2,1,4,6,3,5]=>131
[6,3,2,+,1,5]=>[2,4,1,5,6,3]=>172
[6,3,2,-,1,5]=>[2,1,5,6,3,4]=>137
[6,3,2,+,+,1]=>[2,4,5,1,6,3]=>182
[6,3,2,-,+,1]=>[2,5,1,6,3,4]=>197
[6,3,2,+,-,1]=>[2,4,1,6,3,5]=>173
[6,3,2,-,-,1]=>[2,1,6,3,4,5]=>139
[6,3,2,5,1,4]=>[2,1,4,6,3,5]=>131
[6,3,2,5,4,1]=>[2,4,1,6,3,5]=>173
[6,3,4,1,2,5]=>[1,2,5,6,3,4]=>17
[6,3,4,1,+,2]=>[1,5,2,6,3,4]=>77
[6,3,4,1,-,2]=>[1,2,6,3,4,5]=>19
[6,3,4,2,1,5]=>[2,1,5,6,3,4]=>137
[6,3,4,2,+,1]=>[2,5,1,6,3,4]=>197
[6,3,4,2,-,1]=>[2,1,6,3,4,5]=>139
[6,3,4,5,1,2]=>[1,2,6,3,4,5]=>19
[6,3,4,5,2,1]=>[2,1,6,3,4,5]=>139
[6,3,5,1,2,4]=>[1,2,4,6,3,5]=>11
[6,3,5,1,4,2]=>[1,4,2,6,3,5]=>53
[6,3,5,2,1,4]=>[2,1,4,6,3,5]=>131
[6,3,5,2,4,1]=>[2,4,1,6,3,5]=>173
[6,3,5,+,1,2]=>[4,1,2,6,3,5]=>365
[6,3,5,-,1,2]=>[1,2,6,3,5,4]=>20
[6,3,5,+,2,1]=>[4,2,1,6,3,5]=>389
[6,3,5,-,2,1]=>[2,1,6,3,5,4]=>140
[6,4,1,2,3,5]=>[1,2,3,5,6,4]=>4
[6,4,1,2,+,3]=>[1,2,5,3,6,4]=>14
[6,4,1,2,-,3]=>[1,2,3,6,4,5]=>5
[6,4,1,3,2,5]=>[1,3,2,5,6,4]=>28
[6,4,1,3,+,2]=>[1,3,5,2,6,4]=>38
[6,4,1,3,-,2]=>[1,3,2,6,4,5]=>29
[6,4,1,5,2,3]=>[1,2,3,6,4,5]=>5
[6,4,1,5,3,2]=>[1,3,2,6,4,5]=>29
[6,4,2,1,3,5]=>[2,1,3,5,6,4]=>124
[6,4,2,1,+,3]=>[2,1,5,3,6,4]=>134
[6,4,2,1,-,3]=>[2,1,3,6,4,5]=>125
[6,4,2,3,1,5]=>[2,3,1,5,6,4]=>148
[6,4,2,3,+,1]=>[2,3,5,1,6,4]=>158
[6,4,2,3,-,1]=>[2,3,1,6,4,5]=>149
[6,4,2,5,1,3]=>[2,1,3,6,4,5]=>125
[6,4,2,5,3,1]=>[2,3,1,6,4,5]=>149
[6,4,+,1,2,5]=>[3,1,2,5,6,4]=>244
[6,4,-,1,2,5]=>[1,2,5,6,4,3]=>18
[6,4,+,1,+,2]=>[3,1,5,2,6,4]=>254
[6,4,-,1,+,2]=>[1,5,2,6,4,3]=>78
[6,4,+,1,-,2]=>[3,1,2,6,4,5]=>245
[6,4,-,1,-,2]=>[1,2,6,4,3,5]=>21
[6,4,+,2,1,5]=>[3,2,1,5,6,4]=>268
[6,4,-,2,1,5]=>[2,1,5,6,4,3]=>138
[6,4,+,2,+,1]=>[3,2,5,1,6,4]=>278
[6,4,-,2,+,1]=>[2,5,1,6,4,3]=>198
[6,4,+,2,-,1]=>[3,2,1,6,4,5]=>269
[6,4,-,2,-,1]=>[2,1,6,4,3,5]=>141
[6,4,+,5,1,2]=>[3,1,2,6,4,5]=>245
[6,4,-,5,1,2]=>[1,2,6,4,3,5]=>21
[6,4,+,5,2,1]=>[3,2,1,6,4,5]=>269
[6,4,-,5,2,1]=>[2,1,6,4,3,5]=>141
[6,4,5,1,2,3]=>[1,2,3,6,4,5]=>5
[6,4,5,1,3,2]=>[1,3,2,6,4,5]=>29
[6,4,5,2,1,3]=>[2,1,3,6,4,5]=>125
[6,4,5,2,3,1]=>[2,3,1,6,4,5]=>149
[6,4,5,3,1,2]=>[3,1,2,6,4,5]=>245
[6,4,5,3,2,1]=>[3,2,1,6,4,5]=>269
[6,5,1,2,3,4]=>[1,2,3,4,6,5]=>2
[6,5,1,2,4,3]=>[1,2,4,3,6,5]=>8
[6,5,1,3,2,4]=>[1,3,2,4,6,5]=>26
[6,5,1,3,4,2]=>[1,3,4,2,6,5]=>32
[6,5,1,+,2,3]=>[1,4,2,3,6,5]=>50
[6,5,1,-,2,3]=>[1,2,3,6,5,4]=>6
[6,5,1,+,3,2]=>[1,4,3,2,6,5]=>56
[6,5,1,-,3,2]=>[1,3,2,6,5,4]=>30
[6,5,2,1,3,4]=>[2,1,3,4,6,5]=>122
[6,5,2,1,4,3]=>[2,1,4,3,6,5]=>128
[6,5,2,3,1,4]=>[2,3,1,4,6,5]=>146
[6,5,2,3,4,1]=>[2,3,4,1,6,5]=>152
[6,5,2,+,1,3]=>[2,4,1,3,6,5]=>170
[6,5,2,-,1,3]=>[2,1,3,6,5,4]=>126
[6,5,2,+,3,1]=>[2,4,3,1,6,5]=>176
[6,5,2,-,3,1]=>[2,3,1,6,5,4]=>150
[6,5,+,1,2,4]=>[3,1,2,4,6,5]=>242
[6,5,-,1,2,4]=>[1,2,4,6,5,3]=>12
[6,5,+,1,4,2]=>[3,1,4,2,6,5]=>248
[6,5,-,1,4,2]=>[1,4,2,6,5,3]=>54
[6,5,+,2,1,4]=>[3,2,1,4,6,5]=>266
[6,5,-,2,1,4]=>[2,1,4,6,5,3]=>132
[6,5,+,2,4,1]=>[3,2,4,1,6,5]=>272
[6,5,-,2,4,1]=>[2,4,1,6,5,3]=>174
[6,5,+,+,1,2]=>[3,4,1,2,6,5]=>290
[6,5,-,+,1,2]=>[4,1,2,6,5,3]=>366
[6,5,+,-,1,2]=>[3,1,2,6,5,4]=>246
[6,5,-,-,1,2]=>[1,2,6,5,3,4]=>23
[6,5,+,+,2,1]=>[3,4,2,1,6,5]=>296
[6,5,-,+,2,1]=>[4,2,1,6,5,3]=>390
[6,5,+,-,2,1]=>[3,2,1,6,5,4]=>270
[6,5,-,-,2,1]=>[2,1,6,5,3,4]=>143
[6,5,4,1,2,3]=>[1,2,3,6,5,4]=>6
[6,5,4,1,3,2]=>[1,3,2,6,5,4]=>30
[6,5,4,2,1,3]=>[2,1,3,6,5,4]=>126
[6,5,4,2,3,1]=>[2,3,1,6,5,4]=>150
[6,5,4,3,1,2]=>[3,1,2,6,5,4]=>246
[6,5,4,3,2,1]=>[3,2,1,6,5,4]=>270
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Description
The rank of the permutation.
This is its position among all permutations of the same size ordered lexicographically.
This can be computed using the Lehmer code of a permutation:
$$\text{rank}(\sigma) = 1 +\sum_{i=1}^{n-1} L(\sigma)_i (n − i)!,$$
where $L(\sigma)_i$ is the $i$-th entry of the Lehmer code of $\sigma$.
This is its position among all permutations of the same size ordered lexicographically.
This can be computed using the Lehmer code of a permutation:
$$\text{rank}(\sigma) = 1 +\sum_{i=1}^{n-1} L(\sigma)_i (n − i)!,$$
where $L(\sigma)_i$ is the $i$-th entry of the Lehmer code of $\sigma$.
Map
lower permutation
Description
The lower bound in the Grassmann interval corresponding to the decorated permutation.
Let $I$ be the anti-exceedance set of a decorated permutation $w$. Let $v$ be the $k$-Grassmannian permutation determined by $v[k] = w^{-1}(I)$ and let $u$ be the permutation satisfying $u = wv$. Then $[u, v]$ is the Grassmann interval corresponding to $w$.
This map returns $u$.
Let $I$ be the anti-exceedance set of a decorated permutation $w$. Let $v$ be the $k$-Grassmannian permutation determined by $v[k] = w^{-1}(I)$ and let $u$ be the permutation satisfying $u = wv$. Then $[u, v]$ is the Grassmann interval corresponding to $w$.
This map returns $u$.
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