Identifier
-
Mp00131:
Permutations
—descent bottoms⟶
Binary words
St000289: Binary words ⟶ ℤ
Values
=>
[1,2]=>0=>0
[2,1]=>1=>1
[1,2,3]=>00=>0
[1,3,2]=>01=>1
[2,1,3]=>10=>2
[2,3,1]=>10=>2
[3,1,2]=>10=>2
[3,2,1]=>11=>3
[1,2,3,4]=>000=>0
[1,2,4,3]=>001=>1
[1,3,2,4]=>010=>2
[1,3,4,2]=>010=>2
[1,4,2,3]=>010=>2
[1,4,3,2]=>011=>3
[2,1,3,4]=>100=>4
[2,1,4,3]=>101=>5
[2,3,1,4]=>100=>4
[2,3,4,1]=>100=>4
[2,4,1,3]=>100=>4
[2,4,3,1]=>101=>5
[3,1,2,4]=>100=>4
[3,1,4,2]=>110=>6
[3,2,1,4]=>110=>6
[3,2,4,1]=>110=>6
[3,4,1,2]=>100=>4
[3,4,2,1]=>110=>6
[4,1,2,3]=>100=>4
[4,1,3,2]=>110=>6
[4,2,1,3]=>110=>6
[4,2,3,1]=>110=>6
[4,3,1,2]=>101=>5
[4,3,2,1]=>111=>7
[1,2,3,4,5]=>0000=>0
[1,2,3,5,4]=>0001=>1
[1,2,4,3,5]=>0010=>2
[1,2,4,5,3]=>0010=>2
[1,2,5,3,4]=>0010=>2
[1,2,5,4,3]=>0011=>3
[1,3,2,4,5]=>0100=>4
[1,3,2,5,4]=>0101=>5
[1,3,4,2,5]=>0100=>4
[1,3,4,5,2]=>0100=>4
[1,3,5,2,4]=>0100=>4
[1,3,5,4,2]=>0101=>5
[1,4,2,3,5]=>0100=>4
[1,4,2,5,3]=>0110=>6
[1,4,3,2,5]=>0110=>6
[1,4,3,5,2]=>0110=>6
[1,4,5,2,3]=>0100=>4
[1,4,5,3,2]=>0110=>6
[1,5,2,3,4]=>0100=>4
[1,5,2,4,3]=>0110=>6
[1,5,3,2,4]=>0110=>6
[1,5,3,4,2]=>0110=>6
[1,5,4,2,3]=>0101=>5
[1,5,4,3,2]=>0111=>7
[2,1,3,4,5]=>1000=>8
[2,1,3,5,4]=>1001=>9
[2,1,4,3,5]=>1010=>10
[2,1,4,5,3]=>1010=>10
[2,1,5,3,4]=>1010=>10
[2,1,5,4,3]=>1011=>11
[2,3,1,4,5]=>1000=>8
[2,3,1,5,4]=>1001=>9
[2,3,4,1,5]=>1000=>8
[2,3,4,5,1]=>1000=>8
[2,3,5,1,4]=>1000=>8
[2,3,5,4,1]=>1001=>9
[2,4,1,3,5]=>1000=>8
[2,4,1,5,3]=>1010=>10
[2,4,3,1,5]=>1010=>10
[2,4,3,5,1]=>1010=>10
[2,4,5,1,3]=>1000=>8
[2,4,5,3,1]=>1010=>10
[2,5,1,3,4]=>1000=>8
[2,5,1,4,3]=>1010=>10
[2,5,3,1,4]=>1010=>10
[2,5,3,4,1]=>1010=>10
[2,5,4,1,3]=>1001=>9
[2,5,4,3,1]=>1011=>11
[3,1,2,4,5]=>1000=>8
[3,1,2,5,4]=>1001=>9
[3,1,4,2,5]=>1100=>12
[3,1,4,5,2]=>1100=>12
[3,1,5,2,4]=>1100=>12
[3,1,5,4,2]=>1101=>13
[3,2,1,4,5]=>1100=>12
[3,2,1,5,4]=>1101=>13
[3,2,4,1,5]=>1100=>12
[3,2,4,5,1]=>1100=>12
[3,2,5,1,4]=>1100=>12
[3,2,5,4,1]=>1101=>13
[3,4,1,2,5]=>1000=>8
[3,4,1,5,2]=>1100=>12
[3,4,2,1,5]=>1100=>12
[3,4,2,5,1]=>1100=>12
[3,4,5,1,2]=>1000=>8
[3,4,5,2,1]=>1100=>12
[3,5,1,2,4]=>1000=>8
[3,5,1,4,2]=>1100=>12
[3,5,2,1,4]=>1100=>12
[3,5,2,4,1]=>1100=>12
[3,5,4,1,2]=>1001=>9
[3,5,4,2,1]=>1101=>13
[4,1,2,3,5]=>1000=>8
[4,1,2,5,3]=>1010=>10
[4,1,3,2,5]=>1100=>12
[4,1,3,5,2]=>1100=>12
[4,1,5,2,3]=>1100=>12
[4,1,5,3,2]=>1110=>14
[4,2,1,3,5]=>1100=>12
[4,2,1,5,3]=>1110=>14
[4,2,3,1,5]=>1100=>12
[4,2,3,5,1]=>1100=>12
[4,2,5,1,3]=>1100=>12
[4,2,5,3,1]=>1110=>14
[4,3,1,2,5]=>1010=>10
[4,3,1,5,2]=>1110=>14
[4,3,2,1,5]=>1110=>14
[4,3,2,5,1]=>1110=>14
[4,3,5,1,2]=>1010=>10
[4,3,5,2,1]=>1110=>14
[4,5,1,2,3]=>1000=>8
[4,5,1,3,2]=>1100=>12
[4,5,2,1,3]=>1100=>12
[4,5,2,3,1]=>1100=>12
[4,5,3,1,2]=>1010=>10
[4,5,3,2,1]=>1110=>14
[5,1,2,3,4]=>1000=>8
[5,1,2,4,3]=>1010=>10
[5,1,3,2,4]=>1100=>12
[5,1,3,4,2]=>1100=>12
[5,1,4,2,3]=>1100=>12
[5,1,4,3,2]=>1110=>14
[5,2,1,3,4]=>1100=>12
[5,2,1,4,3]=>1110=>14
[5,2,3,1,4]=>1100=>12
[5,2,3,4,1]=>1100=>12
[5,2,4,1,3]=>1100=>12
[5,2,4,3,1]=>1110=>14
[5,3,1,2,4]=>1010=>10
[5,3,1,4,2]=>1110=>14
[5,3,2,1,4]=>1110=>14
[5,3,2,4,1]=>1110=>14
[5,3,4,1,2]=>1010=>10
[5,3,4,2,1]=>1110=>14
[5,4,1,2,3]=>1001=>9
[5,4,1,3,2]=>1101=>13
[5,4,2,1,3]=>1101=>13
[5,4,2,3,1]=>1101=>13
[5,4,3,1,2]=>1011=>11
[5,4,3,2,1]=>1111=>15
[1,2,3,4,5,6]=>00000=>0
[1,2,3,4,6,5]=>00001=>1
[1,2,3,5,4,6]=>00010=>2
[1,2,3,5,6,4]=>00010=>2
[1,2,3,6,4,5]=>00010=>2
[1,2,3,6,5,4]=>00011=>3
[1,2,4,3,5,6]=>00100=>4
[1,2,4,3,6,5]=>00101=>5
[1,2,4,5,3,6]=>00100=>4
[1,2,4,5,6,3]=>00100=>4
[1,2,4,6,3,5]=>00100=>4
[1,2,4,6,5,3]=>00101=>5
[1,2,5,3,4,6]=>00100=>4
[1,2,5,3,6,4]=>00110=>6
[1,2,5,4,3,6]=>00110=>6
[1,2,5,4,6,3]=>00110=>6
[1,2,5,6,3,4]=>00100=>4
[1,2,5,6,4,3]=>00110=>6
[1,2,6,3,4,5]=>00100=>4
[1,2,6,3,5,4]=>00110=>6
[1,2,6,4,3,5]=>00110=>6
[1,2,6,4,5,3]=>00110=>6
[1,2,6,5,3,4]=>00101=>5
[1,2,6,5,4,3]=>00111=>7
[1,3,2,4,5,6]=>01000=>8
[1,3,2,4,6,5]=>01001=>9
[1,3,2,5,4,6]=>01010=>10
[1,3,2,5,6,4]=>01010=>10
[1,3,2,6,4,5]=>01010=>10
[1,3,2,6,5,4]=>01011=>11
[1,3,4,2,5,6]=>01000=>8
[1,3,4,2,6,5]=>01001=>9
[1,3,4,5,2,6]=>01000=>8
[1,3,4,5,6,2]=>01000=>8
[1,3,4,6,2,5]=>01000=>8
[1,3,4,6,5,2]=>01001=>9
[1,3,5,2,4,6]=>01000=>8
[1,3,5,2,6,4]=>01010=>10
[1,3,5,4,2,6]=>01010=>10
[1,3,5,4,6,2]=>01010=>10
[1,3,5,6,2,4]=>01000=>8
[1,3,5,6,4,2]=>01010=>10
[1,3,6,2,4,5]=>01000=>8
[1,3,6,2,5,4]=>01010=>10
[1,3,6,4,2,5]=>01010=>10
[1,3,6,4,5,2]=>01010=>10
[1,3,6,5,2,4]=>01001=>9
[1,3,6,5,4,2]=>01011=>11
[1,4,2,3,5,6]=>01000=>8
[1,4,2,3,6,5]=>01001=>9
[1,4,2,5,3,6]=>01100=>12
[1,4,2,5,6,3]=>01100=>12
[1,4,2,6,3,5]=>01100=>12
[1,4,2,6,5,3]=>01101=>13
[1,4,3,2,5,6]=>01100=>12
[1,4,3,2,6,5]=>01101=>13
[1,4,3,5,2,6]=>01100=>12
[1,4,3,5,6,2]=>01100=>12
[1,4,3,6,2,5]=>01100=>12
[1,4,3,6,5,2]=>01101=>13
[1,4,5,2,3,6]=>01000=>8
[1,4,5,2,6,3]=>01100=>12
[1,4,5,3,2,6]=>01100=>12
[1,4,5,3,6,2]=>01100=>12
[1,4,5,6,2,3]=>01000=>8
[1,4,5,6,3,2]=>01100=>12
[1,4,6,2,3,5]=>01000=>8
[1,4,6,2,5,3]=>01100=>12
[1,4,6,3,2,5]=>01100=>12
[1,4,6,3,5,2]=>01100=>12
[1,4,6,5,2,3]=>01001=>9
[1,4,6,5,3,2]=>01101=>13
[1,5,2,3,4,6]=>01000=>8
[1,5,2,3,6,4]=>01010=>10
[1,5,2,4,3,6]=>01100=>12
[1,5,2,4,6,3]=>01100=>12
[1,5,2,6,3,4]=>01100=>12
[1,5,2,6,4,3]=>01110=>14
[1,5,3,2,4,6]=>01100=>12
[1,5,3,2,6,4]=>01110=>14
[1,5,3,4,2,6]=>01100=>12
[1,5,3,4,6,2]=>01100=>12
[1,5,3,6,2,4]=>01100=>12
[1,5,3,6,4,2]=>01110=>14
[1,5,4,2,3,6]=>01010=>10
[1,5,4,2,6,3]=>01110=>14
[1,5,4,3,2,6]=>01110=>14
[1,5,4,3,6,2]=>01110=>14
[1,5,4,6,2,3]=>01010=>10
[1,5,4,6,3,2]=>01110=>14
[1,5,6,2,3,4]=>01000=>8
[1,5,6,2,4,3]=>01100=>12
[1,5,6,3,2,4]=>01100=>12
[1,5,6,3,4,2]=>01100=>12
[1,5,6,4,2,3]=>01010=>10
[1,5,6,4,3,2]=>01110=>14
[1,6,2,3,4,5]=>01000=>8
[1,6,2,3,5,4]=>01010=>10
[1,6,2,4,3,5]=>01100=>12
[1,6,2,4,5,3]=>01100=>12
[1,6,2,5,3,4]=>01100=>12
[1,6,2,5,4,3]=>01110=>14
[1,6,3,2,4,5]=>01100=>12
[1,6,3,2,5,4]=>01110=>14
[1,6,3,4,2,5]=>01100=>12
[1,6,3,4,5,2]=>01100=>12
[1,6,3,5,2,4]=>01100=>12
[1,6,3,5,4,2]=>01110=>14
[1,6,4,2,3,5]=>01010=>10
[1,6,4,2,5,3]=>01110=>14
[1,6,4,3,2,5]=>01110=>14
[1,6,4,3,5,2]=>01110=>14
[1,6,4,5,2,3]=>01010=>10
[1,6,4,5,3,2]=>01110=>14
[1,6,5,2,3,4]=>01001=>9
[1,6,5,2,4,3]=>01101=>13
[1,6,5,3,2,4]=>01101=>13
[1,6,5,3,4,2]=>01101=>13
[1,6,5,4,2,3]=>01011=>11
[1,6,5,4,3,2]=>01111=>15
[2,1,3,4,5,6]=>10000=>16
[2,1,3,4,6,5]=>10001=>17
[2,1,3,5,4,6]=>10010=>18
[2,1,3,5,6,4]=>10010=>18
[2,1,3,6,4,5]=>10010=>18
[2,1,3,6,5,4]=>10011=>19
[2,1,4,3,5,6]=>10100=>20
[2,1,4,3,6,5]=>10101=>21
[2,1,4,5,3,6]=>10100=>20
[2,1,4,5,6,3]=>10100=>20
[2,1,4,6,3,5]=>10100=>20
[2,1,4,6,5,3]=>10101=>21
[2,1,5,3,4,6]=>10100=>20
[2,1,5,3,6,4]=>10110=>22
[2,1,5,4,3,6]=>10110=>22
[2,1,5,4,6,3]=>10110=>22
[2,1,5,6,3,4]=>10100=>20
[2,1,5,6,4,3]=>10110=>22
[2,1,6,3,4,5]=>10100=>20
[2,1,6,3,5,4]=>10110=>22
[2,1,6,4,3,5]=>10110=>22
[2,1,6,4,5,3]=>10110=>22
[2,1,6,5,3,4]=>10101=>21
[2,1,6,5,4,3]=>10111=>23
[2,3,1,4,5,6]=>10000=>16
[2,3,1,4,6,5]=>10001=>17
[2,3,1,5,4,6]=>10010=>18
[2,3,1,5,6,4]=>10010=>18
[2,3,1,6,4,5]=>10010=>18
[2,3,1,6,5,4]=>10011=>19
[2,3,4,1,5,6]=>10000=>16
[2,3,4,1,6,5]=>10001=>17
[2,3,4,5,1,6]=>10000=>16
[2,3,4,5,6,1]=>10000=>16
[2,3,4,6,1,5]=>10000=>16
[2,3,4,6,5,1]=>10001=>17
[2,3,5,1,4,6]=>10000=>16
[2,3,5,1,6,4]=>10010=>18
[2,3,5,4,1,6]=>10010=>18
[2,3,5,4,6,1]=>10010=>18
[2,3,5,6,1,4]=>10000=>16
[2,3,5,6,4,1]=>10010=>18
[2,3,6,1,4,5]=>10000=>16
[2,3,6,1,5,4]=>10010=>18
[2,3,6,4,1,5]=>10010=>18
[2,3,6,4,5,1]=>10010=>18
[2,3,6,5,1,4]=>10001=>17
[2,3,6,5,4,1]=>10011=>19
[2,4,1,3,5,6]=>10000=>16
[2,4,1,3,6,5]=>10001=>17
[2,4,1,5,3,6]=>10100=>20
[2,4,1,5,6,3]=>10100=>20
[2,4,1,6,3,5]=>10100=>20
[2,4,1,6,5,3]=>10101=>21
[2,4,3,1,5,6]=>10100=>20
[2,4,3,1,6,5]=>10101=>21
[2,4,3,5,1,6]=>10100=>20
[2,4,3,5,6,1]=>10100=>20
[2,4,3,6,1,5]=>10100=>20
[2,4,3,6,5,1]=>10101=>21
[2,4,5,1,3,6]=>10000=>16
[2,4,5,1,6,3]=>10100=>20
[2,4,5,3,1,6]=>10100=>20
[2,4,5,3,6,1]=>10100=>20
[2,4,5,6,1,3]=>10000=>16
[2,4,5,6,3,1]=>10100=>20
[2,4,6,1,3,5]=>10000=>16
[2,4,6,1,5,3]=>10100=>20
[2,4,6,3,1,5]=>10100=>20
[2,4,6,3,5,1]=>10100=>20
[2,4,6,5,1,3]=>10001=>17
[2,4,6,5,3,1]=>10101=>21
[2,5,1,3,4,6]=>10000=>16
[2,5,1,3,6,4]=>10010=>18
[2,5,1,4,3,6]=>10100=>20
[2,5,1,4,6,3]=>10100=>20
[2,5,1,6,3,4]=>10100=>20
[2,5,1,6,4,3]=>10110=>22
[2,5,3,1,4,6]=>10100=>20
[2,5,3,1,6,4]=>10110=>22
[2,5,3,4,1,6]=>10100=>20
[2,5,3,4,6,1]=>10100=>20
[2,5,3,6,1,4]=>10100=>20
[2,5,3,6,4,1]=>10110=>22
[2,5,4,1,3,6]=>10010=>18
[2,5,4,1,6,3]=>10110=>22
[2,5,4,3,1,6]=>10110=>22
[2,5,4,3,6,1]=>10110=>22
[2,5,4,6,1,3]=>10010=>18
[2,5,4,6,3,1]=>10110=>22
[2,5,6,1,3,4]=>10000=>16
[2,5,6,1,4,3]=>10100=>20
[2,5,6,3,1,4]=>10100=>20
[2,5,6,3,4,1]=>10100=>20
[2,5,6,4,1,3]=>10010=>18
[2,5,6,4,3,1]=>10110=>22
[2,6,1,3,4,5]=>10000=>16
[2,6,1,3,5,4]=>10010=>18
[2,6,1,4,3,5]=>10100=>20
[2,6,1,4,5,3]=>10100=>20
[2,6,1,5,3,4]=>10100=>20
[2,6,1,5,4,3]=>10110=>22
[2,6,3,1,4,5]=>10100=>20
[2,6,3,1,5,4]=>10110=>22
[2,6,3,4,1,5]=>10100=>20
[2,6,3,4,5,1]=>10100=>20
[2,6,3,5,1,4]=>10100=>20
[2,6,3,5,4,1]=>10110=>22
[2,6,4,1,3,5]=>10010=>18
[2,6,4,1,5,3]=>10110=>22
[2,6,4,3,1,5]=>10110=>22
[2,6,4,3,5,1]=>10110=>22
[2,6,4,5,1,3]=>10010=>18
[2,6,4,5,3,1]=>10110=>22
[2,6,5,1,3,4]=>10001=>17
[2,6,5,1,4,3]=>10101=>21
[2,6,5,3,1,4]=>10101=>21
[2,6,5,3,4,1]=>10101=>21
[2,6,5,4,1,3]=>10011=>19
[2,6,5,4,3,1]=>10111=>23
[3,1,2,4,5,6]=>10000=>16
[3,1,2,4,6,5]=>10001=>17
[3,1,2,5,4,6]=>10010=>18
[3,1,2,5,6,4]=>10010=>18
[3,1,2,6,4,5]=>10010=>18
[3,1,2,6,5,4]=>10011=>19
[3,1,4,2,5,6]=>11000=>24
[3,1,4,2,6,5]=>11001=>25
[3,1,4,5,2,6]=>11000=>24
[3,1,4,5,6,2]=>11000=>24
[3,1,4,6,2,5]=>11000=>24
[3,1,4,6,5,2]=>11001=>25
[3,1,5,2,4,6]=>11000=>24
[3,1,5,2,6,4]=>11010=>26
[3,1,5,4,2,6]=>11010=>26
[3,1,5,4,6,2]=>11010=>26
[3,1,5,6,2,4]=>11000=>24
[3,1,5,6,4,2]=>11010=>26
[3,1,6,2,4,5]=>11000=>24
[3,1,6,2,5,4]=>11010=>26
[3,1,6,4,2,5]=>11010=>26
[3,1,6,4,5,2]=>11010=>26
[3,1,6,5,2,4]=>11001=>25
[3,1,6,5,4,2]=>11011=>27
[3,2,1,4,5,6]=>11000=>24
[3,2,1,4,6,5]=>11001=>25
[3,2,1,5,4,6]=>11010=>26
[3,2,1,5,6,4]=>11010=>26
[3,2,1,6,4,5]=>11010=>26
[3,2,1,6,5,4]=>11011=>27
[3,2,4,1,5,6]=>11000=>24
[3,2,4,1,6,5]=>11001=>25
[3,2,4,5,1,6]=>11000=>24
[3,2,4,5,6,1]=>11000=>24
[3,2,4,6,1,5]=>11000=>24
[3,2,4,6,5,1]=>11001=>25
[3,2,5,1,4,6]=>11000=>24
[3,2,5,1,6,4]=>11010=>26
[3,2,5,4,1,6]=>11010=>26
[3,2,5,4,6,1]=>11010=>26
[3,2,5,6,1,4]=>11000=>24
[3,2,5,6,4,1]=>11010=>26
[3,2,6,1,4,5]=>11000=>24
[3,2,6,1,5,4]=>11010=>26
[3,2,6,4,1,5]=>11010=>26
[3,2,6,4,5,1]=>11010=>26
[3,2,6,5,1,4]=>11001=>25
[3,2,6,5,4,1]=>11011=>27
[3,4,1,2,5,6]=>10000=>16
[3,4,1,2,6,5]=>10001=>17
[3,4,1,5,2,6]=>11000=>24
[3,4,1,5,6,2]=>11000=>24
[3,4,1,6,2,5]=>11000=>24
[3,4,1,6,5,2]=>11001=>25
[3,4,2,1,5,6]=>11000=>24
[3,4,2,1,6,5]=>11001=>25
[3,4,2,5,1,6]=>11000=>24
[3,4,2,5,6,1]=>11000=>24
[3,4,2,6,1,5]=>11000=>24
[3,4,2,6,5,1]=>11001=>25
[3,4,5,1,2,6]=>10000=>16
[3,4,5,1,6,2]=>11000=>24
[3,4,5,2,1,6]=>11000=>24
[3,4,5,2,6,1]=>11000=>24
[3,4,5,6,1,2]=>10000=>16
[3,4,5,6,2,1]=>11000=>24
[3,4,6,1,2,5]=>10000=>16
[3,4,6,1,5,2]=>11000=>24
[3,4,6,2,1,5]=>11000=>24
[3,4,6,2,5,1]=>11000=>24
[3,4,6,5,1,2]=>10001=>17
[3,4,6,5,2,1]=>11001=>25
[3,5,1,2,4,6]=>10000=>16
[3,5,1,2,6,4]=>10010=>18
[3,5,1,4,2,6]=>11000=>24
[3,5,1,4,6,2]=>11000=>24
[3,5,1,6,2,4]=>11000=>24
[3,5,1,6,4,2]=>11010=>26
[3,5,2,1,4,6]=>11000=>24
[3,5,2,1,6,4]=>11010=>26
[3,5,2,4,1,6]=>11000=>24
[3,5,2,4,6,1]=>11000=>24
[3,5,2,6,1,4]=>11000=>24
[3,5,2,6,4,1]=>11010=>26
[3,5,4,1,2,6]=>10010=>18
[3,5,4,1,6,2]=>11010=>26
[3,5,4,2,1,6]=>11010=>26
[3,5,4,2,6,1]=>11010=>26
[3,5,4,6,1,2]=>10010=>18
[3,5,4,6,2,1]=>11010=>26
[3,5,6,1,2,4]=>10000=>16
[3,5,6,1,4,2]=>11000=>24
[3,5,6,2,1,4]=>11000=>24
[3,5,6,2,4,1]=>11000=>24
[3,5,6,4,1,2]=>10010=>18
[3,5,6,4,2,1]=>11010=>26
[3,6,1,2,4,5]=>10000=>16
[3,6,1,2,5,4]=>10010=>18
[3,6,1,4,2,5]=>11000=>24
[3,6,1,4,5,2]=>11000=>24
[3,6,1,5,2,4]=>11000=>24
[3,6,1,5,4,2]=>11010=>26
[3,6,2,1,4,5]=>11000=>24
[3,6,2,1,5,4]=>11010=>26
[3,6,2,4,1,5]=>11000=>24
[3,6,2,4,5,1]=>11000=>24
[3,6,2,5,1,4]=>11000=>24
[3,6,2,5,4,1]=>11010=>26
[3,6,4,1,2,5]=>10010=>18
[3,6,4,1,5,2]=>11010=>26
[3,6,4,2,1,5]=>11010=>26
[3,6,4,2,5,1]=>11010=>26
[3,6,4,5,1,2]=>10010=>18
[3,6,4,5,2,1]=>11010=>26
[3,6,5,1,2,4]=>10001=>17
[3,6,5,1,4,2]=>11001=>25
[3,6,5,2,1,4]=>11001=>25
[3,6,5,2,4,1]=>11001=>25
[3,6,5,4,1,2]=>10011=>19
[3,6,5,4,2,1]=>11011=>27
[4,1,2,3,5,6]=>10000=>16
[4,1,2,3,6,5]=>10001=>17
[4,1,2,5,3,6]=>10100=>20
[4,1,2,5,6,3]=>10100=>20
[4,1,2,6,3,5]=>10100=>20
[4,1,2,6,5,3]=>10101=>21
[4,1,3,2,5,6]=>11000=>24
[4,1,3,2,6,5]=>11001=>25
[4,1,3,5,2,6]=>11000=>24
[4,1,3,5,6,2]=>11000=>24
[4,1,3,6,2,5]=>11000=>24
[4,1,3,6,5,2]=>11001=>25
[4,1,5,2,3,6]=>11000=>24
[4,1,5,2,6,3]=>11100=>28
[4,1,5,3,2,6]=>11100=>28
[4,1,5,3,6,2]=>11100=>28
[4,1,5,6,2,3]=>11000=>24
[4,1,5,6,3,2]=>11100=>28
[4,1,6,2,3,5]=>11000=>24
[4,1,6,2,5,3]=>11100=>28
[4,1,6,3,2,5]=>11100=>28
[4,1,6,3,5,2]=>11100=>28
[4,1,6,5,2,3]=>11001=>25
[4,1,6,5,3,2]=>11101=>29
[4,2,1,3,5,6]=>11000=>24
[4,2,1,3,6,5]=>11001=>25
[4,2,1,5,3,6]=>11100=>28
[4,2,1,5,6,3]=>11100=>28
[4,2,1,6,3,5]=>11100=>28
[4,2,1,6,5,3]=>11101=>29
[4,2,3,1,5,6]=>11000=>24
[4,2,3,1,6,5]=>11001=>25
[4,2,3,5,1,6]=>11000=>24
[4,2,3,5,6,1]=>11000=>24
[4,2,3,6,1,5]=>11000=>24
[4,2,3,6,5,1]=>11001=>25
[4,2,5,1,3,6]=>11000=>24
[4,2,5,1,6,3]=>11100=>28
[4,2,5,3,1,6]=>11100=>28
[4,2,5,3,6,1]=>11100=>28
[4,2,5,6,1,3]=>11000=>24
[4,2,5,6,3,1]=>11100=>28
[4,2,6,1,3,5]=>11000=>24
[4,2,6,1,5,3]=>11100=>28
[4,2,6,3,1,5]=>11100=>28
[4,2,6,3,5,1]=>11100=>28
[4,2,6,5,1,3]=>11001=>25
[4,2,6,5,3,1]=>11101=>29
[4,3,1,2,5,6]=>10100=>20
[4,3,1,2,6,5]=>10101=>21
[4,3,1,5,2,6]=>11100=>28
[4,3,1,5,6,2]=>11100=>28
[4,3,1,6,2,5]=>11100=>28
[4,3,1,6,5,2]=>11101=>29
[4,3,2,1,5,6]=>11100=>28
[4,3,2,1,6,5]=>11101=>29
[4,3,2,5,1,6]=>11100=>28
[4,3,2,5,6,1]=>11100=>28
[4,3,2,6,1,5]=>11100=>28
[4,3,2,6,5,1]=>11101=>29
[4,3,5,1,2,6]=>10100=>20
[4,3,5,1,6,2]=>11100=>28
[4,3,5,2,1,6]=>11100=>28
[4,3,5,2,6,1]=>11100=>28
[4,3,5,6,1,2]=>10100=>20
[4,3,5,6,2,1]=>11100=>28
[4,3,6,1,2,5]=>10100=>20
[4,3,6,1,5,2]=>11100=>28
[4,3,6,2,1,5]=>11100=>28
[4,3,6,2,5,1]=>11100=>28
[4,3,6,5,1,2]=>10101=>21
[4,3,6,5,2,1]=>11101=>29
[4,5,1,2,3,6]=>10000=>16
[4,5,1,2,6,3]=>10100=>20
[4,5,1,3,2,6]=>11000=>24
[4,5,1,3,6,2]=>11000=>24
[4,5,1,6,2,3]=>11000=>24
[4,5,1,6,3,2]=>11100=>28
[4,5,2,1,3,6]=>11000=>24
[4,5,2,1,6,3]=>11100=>28
[4,5,2,3,1,6]=>11000=>24
[4,5,2,3,6,1]=>11000=>24
[4,5,2,6,1,3]=>11000=>24
[4,5,2,6,3,1]=>11100=>28
[4,5,3,1,2,6]=>10100=>20
[4,5,3,1,6,2]=>11100=>28
[4,5,3,2,1,6]=>11100=>28
[4,5,3,2,6,1]=>11100=>28
[4,5,3,6,1,2]=>10100=>20
[4,5,3,6,2,1]=>11100=>28
[4,5,6,1,2,3]=>10000=>16
[4,5,6,1,3,2]=>11000=>24
[4,5,6,2,1,3]=>11000=>24
[4,5,6,2,3,1]=>11000=>24
[4,5,6,3,1,2]=>10100=>20
[4,5,6,3,2,1]=>11100=>28
[4,6,1,2,3,5]=>10000=>16
[4,6,1,2,5,3]=>10100=>20
[4,6,1,3,2,5]=>11000=>24
[4,6,1,3,5,2]=>11000=>24
[4,6,1,5,2,3]=>11000=>24
[4,6,1,5,3,2]=>11100=>28
[4,6,2,1,3,5]=>11000=>24
[4,6,2,1,5,3]=>11100=>28
[4,6,2,3,1,5]=>11000=>24
[4,6,2,3,5,1]=>11000=>24
[4,6,2,5,1,3]=>11000=>24
[4,6,2,5,3,1]=>11100=>28
[4,6,3,1,2,5]=>10100=>20
[4,6,3,1,5,2]=>11100=>28
[4,6,3,2,1,5]=>11100=>28
[4,6,3,2,5,1]=>11100=>28
[4,6,3,5,1,2]=>10100=>20
[4,6,3,5,2,1]=>11100=>28
[4,6,5,1,2,3]=>10001=>17
[4,6,5,1,3,2]=>11001=>25
[4,6,5,2,1,3]=>11001=>25
[4,6,5,2,3,1]=>11001=>25
[4,6,5,3,1,2]=>10101=>21
[4,6,5,3,2,1]=>11101=>29
[5,1,2,3,4,6]=>10000=>16
[5,1,2,3,6,4]=>10010=>18
[5,1,2,4,3,6]=>10100=>20
[5,1,2,4,6,3]=>10100=>20
[5,1,2,6,3,4]=>10100=>20
[5,1,2,6,4,3]=>10110=>22
[5,1,3,2,4,6]=>11000=>24
[5,1,3,2,6,4]=>11010=>26
[5,1,3,4,2,6]=>11000=>24
[5,1,3,4,6,2]=>11000=>24
[5,1,3,6,2,4]=>11000=>24
[5,1,3,6,4,2]=>11010=>26
[5,1,4,2,3,6]=>11000=>24
[5,1,4,2,6,3]=>11100=>28
[5,1,4,3,2,6]=>11100=>28
[5,1,4,3,6,2]=>11100=>28
[5,1,4,6,2,3]=>11000=>24
[5,1,4,6,3,2]=>11100=>28
[5,1,6,2,3,4]=>11000=>24
[5,1,6,2,4,3]=>11100=>28
[5,1,6,3,2,4]=>11100=>28
[5,1,6,3,4,2]=>11100=>28
[5,1,6,4,2,3]=>11010=>26
[5,1,6,4,3,2]=>11110=>30
[5,2,1,3,4,6]=>11000=>24
[5,2,1,3,6,4]=>11010=>26
[5,2,1,4,3,6]=>11100=>28
[5,2,1,4,6,3]=>11100=>28
[5,2,1,6,3,4]=>11100=>28
[5,2,1,6,4,3]=>11110=>30
[5,2,3,1,4,6]=>11000=>24
[5,2,3,1,6,4]=>11010=>26
[5,2,3,4,1,6]=>11000=>24
[5,2,3,4,6,1]=>11000=>24
[5,2,3,6,1,4]=>11000=>24
[5,2,3,6,4,1]=>11010=>26
[5,2,4,1,3,6]=>11000=>24
[5,2,4,1,6,3]=>11100=>28
[5,2,4,3,1,6]=>11100=>28
[5,2,4,3,6,1]=>11100=>28
[5,2,4,6,1,3]=>11000=>24
[5,2,4,6,3,1]=>11100=>28
[5,2,6,1,3,4]=>11000=>24
[5,2,6,1,4,3]=>11100=>28
[5,2,6,3,1,4]=>11100=>28
[5,2,6,3,4,1]=>11100=>28
[5,2,6,4,1,3]=>11010=>26
[5,2,6,4,3,1]=>11110=>30
[5,3,1,2,4,6]=>10100=>20
[5,3,1,2,6,4]=>10110=>22
[5,3,1,4,2,6]=>11100=>28
[5,3,1,4,6,2]=>11100=>28
[5,3,1,6,2,4]=>11100=>28
[5,3,1,6,4,2]=>11110=>30
[5,3,2,1,4,6]=>11100=>28
[5,3,2,1,6,4]=>11110=>30
[5,3,2,4,1,6]=>11100=>28
[5,3,2,4,6,1]=>11100=>28
[5,3,2,6,1,4]=>11100=>28
[5,3,2,6,4,1]=>11110=>30
[5,3,4,1,2,6]=>10100=>20
[5,3,4,1,6,2]=>11100=>28
[5,3,4,2,1,6]=>11100=>28
[5,3,4,2,6,1]=>11100=>28
[5,3,4,6,1,2]=>10100=>20
[5,3,4,6,2,1]=>11100=>28
[5,3,6,1,2,4]=>10100=>20
[5,3,6,1,4,2]=>11100=>28
[5,3,6,2,1,4]=>11100=>28
[5,3,6,2,4,1]=>11100=>28
[5,3,6,4,1,2]=>10110=>22
[5,3,6,4,2,1]=>11110=>30
[5,4,1,2,3,6]=>10010=>18
[5,4,1,2,6,3]=>10110=>22
[5,4,1,3,2,6]=>11010=>26
[5,4,1,3,6,2]=>11010=>26
[5,4,1,6,2,3]=>11010=>26
[5,4,1,6,3,2]=>11110=>30
[5,4,2,1,3,6]=>11010=>26
[5,4,2,1,6,3]=>11110=>30
[5,4,2,3,1,6]=>11010=>26
[5,4,2,3,6,1]=>11010=>26
[5,4,2,6,1,3]=>11010=>26
[5,4,2,6,3,1]=>11110=>30
[5,4,3,1,2,6]=>10110=>22
[5,4,3,1,6,2]=>11110=>30
[5,4,3,2,1,6]=>11110=>30
[5,4,3,2,6,1]=>11110=>30
[5,4,3,6,1,2]=>10110=>22
[5,4,3,6,2,1]=>11110=>30
[5,4,6,1,2,3]=>10010=>18
[5,4,6,1,3,2]=>11010=>26
[5,4,6,2,1,3]=>11010=>26
[5,4,6,2,3,1]=>11010=>26
[5,4,6,3,1,2]=>10110=>22
[5,4,6,3,2,1]=>11110=>30
[5,6,1,2,3,4]=>10000=>16
[5,6,1,2,4,3]=>10100=>20
[5,6,1,3,2,4]=>11000=>24
[5,6,1,3,4,2]=>11000=>24
[5,6,1,4,2,3]=>11000=>24
[5,6,1,4,3,2]=>11100=>28
[5,6,2,1,3,4]=>11000=>24
[5,6,2,1,4,3]=>11100=>28
[5,6,2,3,1,4]=>11000=>24
[5,6,2,3,4,1]=>11000=>24
[5,6,2,4,1,3]=>11000=>24
[5,6,2,4,3,1]=>11100=>28
[5,6,3,1,2,4]=>10100=>20
[5,6,3,1,4,2]=>11100=>28
[5,6,3,2,1,4]=>11100=>28
[5,6,3,2,4,1]=>11100=>28
[5,6,3,4,1,2]=>10100=>20
[5,6,3,4,2,1]=>11100=>28
[5,6,4,1,2,3]=>10010=>18
[5,6,4,1,3,2]=>11010=>26
[5,6,4,2,1,3]=>11010=>26
[5,6,4,2,3,1]=>11010=>26
[5,6,4,3,1,2]=>10110=>22
[5,6,4,3,2,1]=>11110=>30
[6,1,2,3,4,5]=>10000=>16
[6,1,2,3,5,4]=>10010=>18
[6,1,2,4,3,5]=>10100=>20
[6,1,2,4,5,3]=>10100=>20
[6,1,2,5,3,4]=>10100=>20
[6,1,2,5,4,3]=>10110=>22
[6,1,3,2,4,5]=>11000=>24
[6,1,3,2,5,4]=>11010=>26
[6,1,3,4,2,5]=>11000=>24
[6,1,3,4,5,2]=>11000=>24
[6,1,3,5,2,4]=>11000=>24
[6,1,3,5,4,2]=>11010=>26
[6,1,4,2,3,5]=>11000=>24
[6,1,4,2,5,3]=>11100=>28
[6,1,4,3,2,5]=>11100=>28
[6,1,4,3,5,2]=>11100=>28
[6,1,4,5,2,3]=>11000=>24
[6,1,4,5,3,2]=>11100=>28
[6,1,5,2,3,4]=>11000=>24
[6,1,5,2,4,3]=>11100=>28
[6,1,5,3,2,4]=>11100=>28
[6,1,5,3,4,2]=>11100=>28
[6,1,5,4,2,3]=>11010=>26
[6,1,5,4,3,2]=>11110=>30
[6,2,1,3,4,5]=>11000=>24
[6,2,1,3,5,4]=>11010=>26
[6,2,1,4,3,5]=>11100=>28
[6,2,1,4,5,3]=>11100=>28
[6,2,1,5,3,4]=>11100=>28
[6,2,1,5,4,3]=>11110=>30
[6,2,3,1,4,5]=>11000=>24
[6,2,3,1,5,4]=>11010=>26
[6,2,3,4,1,5]=>11000=>24
[6,2,3,4,5,1]=>11000=>24
[6,2,3,5,1,4]=>11000=>24
[6,2,3,5,4,1]=>11010=>26
[6,2,4,1,3,5]=>11000=>24
[6,2,4,1,5,3]=>11100=>28
[6,2,4,3,1,5]=>11100=>28
[6,2,4,3,5,1]=>11100=>28
[6,2,4,5,1,3]=>11000=>24
[6,2,4,5,3,1]=>11100=>28
[6,2,5,1,3,4]=>11000=>24
[6,2,5,1,4,3]=>11100=>28
[6,2,5,3,1,4]=>11100=>28
[6,2,5,3,4,1]=>11100=>28
[6,2,5,4,1,3]=>11010=>26
[6,2,5,4,3,1]=>11110=>30
[6,3,1,2,4,5]=>10100=>20
[6,3,1,2,5,4]=>10110=>22
[6,3,1,4,2,5]=>11100=>28
[6,3,1,4,5,2]=>11100=>28
[6,3,1,5,2,4]=>11100=>28
[6,3,1,5,4,2]=>11110=>30
[6,3,2,1,4,5]=>11100=>28
[6,3,2,1,5,4]=>11110=>30
[6,3,2,4,1,5]=>11100=>28
[6,3,2,4,5,1]=>11100=>28
[6,3,2,5,1,4]=>11100=>28
[6,3,2,5,4,1]=>11110=>30
[6,3,4,1,2,5]=>10100=>20
[6,3,4,1,5,2]=>11100=>28
[6,3,4,2,1,5]=>11100=>28
[6,3,4,2,5,1]=>11100=>28
[6,3,4,5,1,2]=>10100=>20
[6,3,4,5,2,1]=>11100=>28
[6,3,5,1,2,4]=>10100=>20
[6,3,5,1,4,2]=>11100=>28
[6,3,5,2,1,4]=>11100=>28
[6,3,5,2,4,1]=>11100=>28
[6,3,5,4,1,2]=>10110=>22
[6,3,5,4,2,1]=>11110=>30
[6,4,1,2,3,5]=>10010=>18
[6,4,1,2,5,3]=>10110=>22
[6,4,1,3,2,5]=>11010=>26
[6,4,1,3,5,2]=>11010=>26
[6,4,1,5,2,3]=>11010=>26
[6,4,1,5,3,2]=>11110=>30
[6,4,2,1,3,5]=>11010=>26
[6,4,2,1,5,3]=>11110=>30
[6,4,2,3,1,5]=>11010=>26
[6,4,2,3,5,1]=>11010=>26
[6,4,2,5,1,3]=>11010=>26
[6,4,2,5,3,1]=>11110=>30
[6,4,3,1,2,5]=>10110=>22
[6,4,3,1,5,2]=>11110=>30
[6,4,3,2,1,5]=>11110=>30
[6,4,3,2,5,1]=>11110=>30
[6,4,3,5,1,2]=>10110=>22
[6,4,3,5,2,1]=>11110=>30
[6,4,5,1,2,3]=>10010=>18
[6,4,5,1,3,2]=>11010=>26
[6,4,5,2,1,3]=>11010=>26
[6,4,5,2,3,1]=>11010=>26
[6,4,5,3,1,2]=>10110=>22
[6,4,5,3,2,1]=>11110=>30
[6,5,1,2,3,4]=>10001=>17
[6,5,1,2,4,3]=>10101=>21
[6,5,1,3,2,4]=>11001=>25
[6,5,1,3,4,2]=>11001=>25
[6,5,1,4,2,3]=>11001=>25
[6,5,1,4,3,2]=>11101=>29
[6,5,2,1,3,4]=>11001=>25
[6,5,2,1,4,3]=>11101=>29
[6,5,2,3,1,4]=>11001=>25
[6,5,2,3,4,1]=>11001=>25
[6,5,2,4,1,3]=>11001=>25
[6,5,2,4,3,1]=>11101=>29
[6,5,3,1,2,4]=>10101=>21
[6,5,3,1,4,2]=>11101=>29
[6,5,3,2,1,4]=>11101=>29
[6,5,3,2,4,1]=>11101=>29
[6,5,3,4,1,2]=>10101=>21
[6,5,3,4,2,1]=>11101=>29
[6,5,4,1,2,3]=>10011=>19
[6,5,4,1,3,2]=>11011=>27
[6,5,4,2,1,3]=>11011=>27
[6,5,4,2,3,1]=>11011=>27
[6,5,4,3,1,2]=>10111=>23
[6,5,4,3,2,1]=>11111=>31
[1,2,3,4,5,6,7]=>000000=>0
[1,2,3,4,5,7,6]=>000001=>1
[1,2,3,4,6,5,7]=>000010=>2
[1,2,3,4,6,7,5]=>000010=>2
[1,2,3,4,7,5,6]=>000010=>2
[1,2,3,4,7,6,5]=>000011=>3
[1,2,3,5,4,6,7]=>000100=>4
[1,2,3,5,4,7,6]=>000101=>5
[1,2,3,5,6,4,7]=>000100=>4
[1,2,3,5,6,7,4]=>000100=>4
[1,2,3,5,7,4,6]=>000100=>4
[1,2,3,5,7,6,4]=>000101=>5
[1,2,3,6,4,5,7]=>000100=>4
[1,2,3,6,4,7,5]=>000110=>6
[1,2,3,6,5,4,7]=>000110=>6
[1,2,3,6,5,7,4]=>000110=>6
[1,2,3,6,7,4,5]=>000100=>4
[1,2,3,6,7,5,4]=>000110=>6
[1,2,3,7,4,5,6]=>000100=>4
[1,2,3,7,4,6,5]=>000110=>6
[1,2,3,7,5,4,6]=>000110=>6
[1,2,3,7,5,6,4]=>000110=>6
[1,2,3,7,6,4,5]=>000101=>5
[1,2,3,7,6,5,4]=>000111=>7
[1,2,4,3,5,6,7]=>001000=>8
[1,2,4,3,5,7,6]=>001001=>9
[1,2,4,3,6,5,7]=>001010=>10
[1,2,4,3,6,7,5]=>001010=>10
[1,2,4,3,7,5,6]=>001010=>10
[1,2,4,3,7,6,5]=>001011=>11
[1,2,4,5,3,6,7]=>001000=>8
[1,2,4,5,3,7,6]=>001001=>9
[1,2,4,5,6,3,7]=>001000=>8
[1,2,4,5,6,7,3]=>001000=>8
[1,2,4,5,7,3,6]=>001000=>8
[1,2,4,5,7,6,3]=>001001=>9
[1,2,4,6,3,5,7]=>001000=>8
[1,2,4,6,3,7,5]=>001010=>10
[1,2,4,6,5,3,7]=>001010=>10
[1,2,4,6,5,7,3]=>001010=>10
[1,2,4,6,7,3,5]=>001000=>8
[1,2,4,6,7,5,3]=>001010=>10
[1,2,4,7,3,5,6]=>001000=>8
[1,2,4,7,3,6,5]=>001010=>10
[1,2,4,7,5,3,6]=>001010=>10
[1,2,4,7,5,6,3]=>001010=>10
[1,2,4,7,6,3,5]=>001001=>9
[1,2,4,7,6,5,3]=>001011=>11
[1,2,5,3,4,6,7]=>001000=>8
[1,2,5,3,4,7,6]=>001001=>9
[1,2,5,3,6,4,7]=>001100=>12
[1,2,5,3,6,7,4]=>001100=>12
[1,2,5,3,7,4,6]=>001100=>12
[1,2,5,3,7,6,4]=>001101=>13
[1,2,5,4,3,6,7]=>001100=>12
[1,2,5,4,3,7,6]=>001101=>13
[1,2,5,4,6,3,7]=>001100=>12
[1,2,5,4,6,7,3]=>001100=>12
[1,2,5,4,7,3,6]=>001100=>12
[1,2,5,4,7,6,3]=>001101=>13
[1,2,5,6,3,4,7]=>001000=>8
[1,2,5,6,3,7,4]=>001100=>12
[1,2,5,6,4,3,7]=>001100=>12
[1,2,5,6,4,7,3]=>001100=>12
[1,2,5,6,7,3,4]=>001000=>8
[1,2,5,6,7,4,3]=>001100=>12
[1,2,5,7,3,4,6]=>001000=>8
[1,2,5,7,3,6,4]=>001100=>12
[1,2,5,7,4,3,6]=>001100=>12
[1,2,5,7,4,6,3]=>001100=>12
[1,2,5,7,6,3,4]=>001001=>9
[1,2,5,7,6,4,3]=>001101=>13
[1,2,6,3,4,5,7]=>001000=>8
[1,2,6,3,4,7,5]=>001010=>10
[1,2,6,3,5,4,7]=>001100=>12
[1,2,6,3,5,7,4]=>001100=>12
[1,2,6,3,7,4,5]=>001100=>12
[1,2,6,3,7,5,4]=>001110=>14
[1,2,6,4,3,5,7]=>001100=>12
[1,2,6,4,3,7,5]=>001110=>14
[1,2,6,4,5,3,7]=>001100=>12
[1,2,6,4,5,7,3]=>001100=>12
[1,2,6,4,7,3,5]=>001100=>12
[1,2,6,4,7,5,3]=>001110=>14
[1,2,6,5,3,4,7]=>001010=>10
[1,2,6,5,3,7,4]=>001110=>14
[1,2,6,5,4,3,7]=>001110=>14
[1,2,6,5,4,7,3]=>001110=>14
[1,2,6,5,7,3,4]=>001010=>10
[1,2,6,5,7,4,3]=>001110=>14
[1,2,6,7,3,4,5]=>001000=>8
[1,2,6,7,3,5,4]=>001100=>12
[1,2,6,7,4,3,5]=>001100=>12
[1,2,6,7,4,5,3]=>001100=>12
[1,2,6,7,5,3,4]=>001010=>10
[1,2,6,7,5,4,3]=>001110=>14
[1,2,7,3,4,5,6]=>001000=>8
[1,2,7,3,4,6,5]=>001010=>10
[1,2,7,3,5,4,6]=>001100=>12
[1,2,7,3,5,6,4]=>001100=>12
[1,2,7,3,6,4,5]=>001100=>12
[1,2,7,3,6,5,4]=>001110=>14
[1,2,7,4,3,5,6]=>001100=>12
[1,2,7,4,3,6,5]=>001110=>14
[1,2,7,4,5,3,6]=>001100=>12
[1,2,7,4,5,6,3]=>001100=>12
[1,2,7,4,6,3,5]=>001100=>12
[1,2,7,4,6,5,3]=>001110=>14
[1,2,7,5,3,4,6]=>001010=>10
[1,2,7,5,3,6,4]=>001110=>14
[1,2,7,5,4,3,6]=>001110=>14
[1,2,7,5,4,6,3]=>001110=>14
[1,2,7,5,6,3,4]=>001010=>10
[1,2,7,5,6,4,3]=>001110=>14
[1,2,7,6,3,4,5]=>001001=>9
[1,2,7,6,3,5,4]=>001101=>13
[1,2,7,6,4,3,5]=>001101=>13
[1,2,7,6,4,5,3]=>001101=>13
[1,2,7,6,5,3,4]=>001011=>11
[1,2,7,6,5,4,3]=>001111=>15
[1,3,2,4,5,6,7]=>010000=>16
[1,3,2,4,5,7,6]=>010001=>17
[1,3,2,4,6,5,7]=>010010=>18
[1,3,2,4,6,7,5]=>010010=>18
[1,3,2,4,7,5,6]=>010010=>18
[1,3,2,4,7,6,5]=>010011=>19
[1,3,2,5,4,6,7]=>010100=>20
[1,3,2,5,4,7,6]=>010101=>21
[1,3,2,5,6,4,7]=>010100=>20
[1,3,2,5,6,7,4]=>010100=>20
[1,3,2,5,7,4,6]=>010100=>20
[1,3,2,5,7,6,4]=>010101=>21
[1,3,2,6,4,5,7]=>010100=>20
[1,3,2,6,4,7,5]=>010110=>22
[1,3,2,6,5,4,7]=>010110=>22
[1,3,2,6,5,7,4]=>010110=>22
[1,3,2,6,7,4,5]=>010100=>20
[1,3,2,6,7,5,4]=>010110=>22
[1,3,2,7,4,5,6]=>010100=>20
[1,3,2,7,4,6,5]=>010110=>22
[1,3,2,7,5,4,6]=>010110=>22
[1,3,2,7,5,6,4]=>010110=>22
[1,3,2,7,6,4,5]=>010101=>21
[1,3,2,7,6,5,4]=>010111=>23
[1,3,4,2,5,6,7]=>010000=>16
[1,3,4,2,5,7,6]=>010001=>17
[1,3,4,2,6,5,7]=>010010=>18
[1,3,4,2,6,7,5]=>010010=>18
[1,3,4,2,7,5,6]=>010010=>18
[1,3,4,2,7,6,5]=>010011=>19
[1,3,4,5,2,6,7]=>010000=>16
[1,3,4,5,2,7,6]=>010001=>17
[1,3,4,5,6,2,7]=>010000=>16
[1,3,4,5,6,7,2]=>010000=>16
[1,3,4,5,7,2,6]=>010000=>16
[1,3,4,5,7,6,2]=>010001=>17
[1,3,4,6,2,5,7]=>010000=>16
[1,3,4,6,2,7,5]=>010010=>18
[1,3,4,6,5,2,7]=>010010=>18
[1,3,4,6,5,7,2]=>010010=>18
[1,3,4,6,7,2,5]=>010000=>16
[1,3,4,6,7,5,2]=>010010=>18
[1,3,4,7,2,5,6]=>010000=>16
[1,3,4,7,2,6,5]=>010010=>18
[1,3,4,7,5,2,6]=>010010=>18
[1,3,4,7,5,6,2]=>010010=>18
[1,3,4,7,6,2,5]=>010001=>17
[1,3,4,7,6,5,2]=>010011=>19
[1,3,5,2,4,6,7]=>010000=>16
[1,3,5,2,4,7,6]=>010001=>17
[1,3,5,2,6,4,7]=>010100=>20
[1,3,5,2,6,7,4]=>010100=>20
[1,3,5,2,7,4,6]=>010100=>20
[1,3,5,2,7,6,4]=>010101=>21
[1,3,5,4,2,6,7]=>010100=>20
[1,3,5,4,2,7,6]=>010101=>21
[1,3,5,4,6,2,7]=>010100=>20
[1,3,5,4,6,7,2]=>010100=>20
[1,3,5,4,7,2,6]=>010100=>20
[1,3,5,4,7,6,2]=>010101=>21
[1,3,5,6,2,4,7]=>010000=>16
[1,3,5,6,2,7,4]=>010100=>20
[1,3,5,6,4,2,7]=>010100=>20
[1,3,5,6,4,7,2]=>010100=>20
[1,3,5,6,7,2,4]=>010000=>16
[1,3,5,6,7,4,2]=>010100=>20
[1,3,5,7,2,4,6]=>010000=>16
[1,3,5,7,2,6,4]=>010100=>20
[1,3,5,7,4,2,6]=>010100=>20
[1,3,5,7,4,6,2]=>010100=>20
[1,3,5,7,6,2,4]=>010001=>17
[1,3,5,7,6,4,2]=>010101=>21
[1,3,6,2,4,5,7]=>010000=>16
[1,3,6,2,4,7,5]=>010010=>18
[1,3,6,2,5,4,7]=>010100=>20
[1,3,6,2,5,7,4]=>010100=>20
[1,3,6,2,7,4,5]=>010100=>20
[1,3,6,2,7,5,4]=>010110=>22
[1,3,6,4,2,5,7]=>010100=>20
[1,3,6,4,2,7,5]=>010110=>22
[1,3,6,4,5,2,7]=>010100=>20
[1,3,6,4,5,7,2]=>010100=>20
[1,3,6,4,7,2,5]=>010100=>20
[1,3,6,4,7,5,2]=>010110=>22
[1,3,6,5,2,4,7]=>010010=>18
[1,3,6,5,2,7,4]=>010110=>22
[1,3,6,5,4,2,7]=>010110=>22
[1,3,6,5,4,7,2]=>010110=>22
[1,3,6,5,7,2,4]=>010010=>18
[1,3,6,5,7,4,2]=>010110=>22
[1,3,6,7,2,4,5]=>010000=>16
[1,3,6,7,2,5,4]=>010100=>20
[1,3,6,7,4,2,5]=>010100=>20
[1,3,6,7,4,5,2]=>010100=>20
[1,3,6,7,5,2,4]=>010010=>18
[1,3,6,7,5,4,2]=>010110=>22
[1,3,7,2,4,5,6]=>010000=>16
[1,3,7,2,4,6,5]=>010010=>18
[1,3,7,2,5,4,6]=>010100=>20
[1,3,7,2,5,6,4]=>010100=>20
[1,3,7,2,6,4,5]=>010100=>20
[1,3,7,2,6,5,4]=>010110=>22
[1,3,7,4,2,5,6]=>010100=>20
[1,3,7,4,2,6,5]=>010110=>22
[1,3,7,4,5,2,6]=>010100=>20
[1,3,7,4,5,6,2]=>010100=>20
[1,3,7,4,6,2,5]=>010100=>20
[1,3,7,4,6,5,2]=>010110=>22
[1,3,7,5,2,4,6]=>010010=>18
[1,3,7,5,2,6,4]=>010110=>22
[1,3,7,5,4,2,6]=>010110=>22
[1,3,7,5,4,6,2]=>010110=>22
[1,3,7,5,6,2,4]=>010010=>18
[1,3,7,5,6,4,2]=>010110=>22
[1,3,7,6,2,4,5]=>010001=>17
[1,3,7,6,2,5,4]=>010101=>21
[1,3,7,6,4,2,5]=>010101=>21
[1,3,7,6,4,5,2]=>010101=>21
[1,3,7,6,5,2,4]=>010011=>19
[1,3,7,6,5,4,2]=>010111=>23
[1,4,2,3,5,6,7]=>010000=>16
[1,4,2,3,5,7,6]=>010001=>17
[1,4,2,3,6,5,7]=>010010=>18
[1,4,2,3,6,7,5]=>010010=>18
[1,4,2,3,7,5,6]=>010010=>18
[1,4,2,3,7,6,5]=>010011=>19
[1,4,2,5,3,6,7]=>011000=>24
[1,4,2,5,3,7,6]=>011001=>25
[1,4,2,5,6,3,7]=>011000=>24
[1,4,2,5,6,7,3]=>011000=>24
[1,4,2,5,7,3,6]=>011000=>24
[1,4,2,5,7,6,3]=>011001=>25
[1,4,2,6,3,5,7]=>011000=>24
[1,4,2,6,3,7,5]=>011010=>26
[1,4,2,6,5,3,7]=>011010=>26
[1,4,2,6,5,7,3]=>011010=>26
[1,4,2,6,7,3,5]=>011000=>24
[1,4,2,6,7,5,3]=>011010=>26
[1,4,2,7,3,5,6]=>011000=>24
[1,4,2,7,3,6,5]=>011010=>26
[1,4,2,7,5,3,6]=>011010=>26
[1,4,2,7,5,6,3]=>011010=>26
[1,4,2,7,6,3,5]=>011001=>25
[1,4,2,7,6,5,3]=>011011=>27
[1,4,3,2,5,6,7]=>011000=>24
[1,4,3,2,5,7,6]=>011001=>25
[1,4,3,2,6,5,7]=>011010=>26
[1,4,3,2,6,7,5]=>011010=>26
[1,4,3,2,7,5,6]=>011010=>26
[1,4,3,2,7,6,5]=>011011=>27
[1,4,3,5,2,6,7]=>011000=>24
[1,4,3,5,2,7,6]=>011001=>25
[1,4,3,5,6,2,7]=>011000=>24
[1,4,3,5,6,7,2]=>011000=>24
[1,4,3,5,7,2,6]=>011000=>24
[1,4,3,5,7,6,2]=>011001=>25
[1,4,3,6,2,5,7]=>011000=>24
[1,4,3,6,2,7,5]=>011010=>26
[1,4,3,6,5,2,7]=>011010=>26
[1,4,3,6,5,7,2]=>011010=>26
[1,4,3,6,7,2,5]=>011000=>24
[1,4,3,6,7,5,2]=>011010=>26
[1,4,3,7,2,5,6]=>011000=>24
[1,4,3,7,2,6,5]=>011010=>26
[1,4,3,7,5,2,6]=>011010=>26
[1,4,3,7,5,6,2]=>011010=>26
[1,4,3,7,6,2,5]=>011001=>25
[1,4,3,7,6,5,2]=>011011=>27
[1,4,5,2,3,6,7]=>010000=>16
[1,4,5,2,3,7,6]=>010001=>17
[1,4,5,2,6,3,7]=>011000=>24
[1,4,5,2,6,7,3]=>011000=>24
[1,4,5,2,7,3,6]=>011000=>24
[1,4,5,2,7,6,3]=>011001=>25
[1,4,5,3,2,6,7]=>011000=>24
[1,4,5,3,2,7,6]=>011001=>25
[1,4,5,3,6,2,7]=>011000=>24
[1,4,5,3,6,7,2]=>011000=>24
[1,4,5,3,7,2,6]=>011000=>24
[1,4,5,3,7,6,2]=>011001=>25
[1,4,5,6,2,3,7]=>010000=>16
[1,4,5,6,2,7,3]=>011000=>24
[1,4,5,6,3,2,7]=>011000=>24
[1,4,5,6,3,7,2]=>011000=>24
[1,4,5,6,7,2,3]=>010000=>16
[1,4,5,6,7,3,2]=>011000=>24
[1,4,5,7,2,3,6]=>010000=>16
[1,4,5,7,2,6,3]=>011000=>24
[1,4,5,7,3,2,6]=>011000=>24
[1,4,5,7,3,6,2]=>011000=>24
[1,4,5,7,6,2,3]=>010001=>17
[1,4,5,7,6,3,2]=>011001=>25
[1,4,6,2,3,5,7]=>010000=>16
[1,4,6,2,3,7,5]=>010010=>18
[1,4,6,2,5,3,7]=>011000=>24
[1,4,6,2,5,7,3]=>011000=>24
[1,4,6,2,7,3,5]=>011000=>24
[1,4,6,2,7,5,3]=>011010=>26
[1,4,6,3,2,5,7]=>011000=>24
[1,4,6,3,2,7,5]=>011010=>26
[1,4,6,3,5,2,7]=>011000=>24
[1,4,6,3,5,7,2]=>011000=>24
[1,4,6,3,7,2,5]=>011000=>24
[1,4,6,3,7,5,2]=>011010=>26
[1,4,6,5,2,3,7]=>010010=>18
[1,4,6,5,2,7,3]=>011010=>26
[1,4,6,5,3,2,7]=>011010=>26
[1,4,6,5,3,7,2]=>011010=>26
[1,4,6,5,7,2,3]=>010010=>18
[1,4,6,5,7,3,2]=>011010=>26
[1,4,6,7,2,3,5]=>010000=>16
[1,4,6,7,2,5,3]=>011000=>24
[1,4,6,7,3,2,5]=>011000=>24
[1,4,6,7,3,5,2]=>011000=>24
[1,4,6,7,5,2,3]=>010010=>18
[1,4,6,7,5,3,2]=>011010=>26
[1,4,7,2,3,5,6]=>010000=>16
[1,4,7,2,3,6,5]=>010010=>18
[1,4,7,2,5,3,6]=>011000=>24
[1,4,7,2,5,6,3]=>011000=>24
[1,4,7,2,6,3,5]=>011000=>24
[1,4,7,2,6,5,3]=>011010=>26
[1,4,7,3,2,5,6]=>011000=>24
[1,4,7,3,2,6,5]=>011010=>26
[1,4,7,3,5,2,6]=>011000=>24
[1,4,7,3,5,6,2]=>011000=>24
[1,4,7,3,6,2,5]=>011000=>24
[1,4,7,3,6,5,2]=>011010=>26
[1,4,7,5,2,3,6]=>010010=>18
[1,4,7,5,2,6,3]=>011010=>26
[1,4,7,5,3,2,6]=>011010=>26
[1,4,7,5,3,6,2]=>011010=>26
[1,4,7,5,6,2,3]=>010010=>18
[1,4,7,5,6,3,2]=>011010=>26
[1,4,7,6,2,3,5]=>010001=>17
[1,4,7,6,2,5,3]=>011001=>25
[1,4,7,6,3,2,5]=>011001=>25
[1,4,7,6,3,5,2]=>011001=>25
[1,4,7,6,5,2,3]=>010011=>19
[1,4,7,6,5,3,2]=>011011=>27
[1,5,2,3,4,6,7]=>010000=>16
[1,5,2,3,4,7,6]=>010001=>17
[1,5,2,3,6,4,7]=>010100=>20
[1,5,2,3,6,7,4]=>010100=>20
[1,5,2,3,7,4,6]=>010100=>20
[1,5,2,3,7,6,4]=>010101=>21
[1,5,2,4,3,6,7]=>011000=>24
[1,5,2,4,3,7,6]=>011001=>25
[1,5,2,4,6,3,7]=>011000=>24
[1,5,2,4,6,7,3]=>011000=>24
[1,5,2,4,7,3,6]=>011000=>24
[1,5,2,4,7,6,3]=>011001=>25
[1,5,2,6,3,4,7]=>011000=>24
[1,5,2,6,3,7,4]=>011100=>28
[1,5,2,6,4,3,7]=>011100=>28
[1,5,2,6,4,7,3]=>011100=>28
[1,5,2,6,7,3,4]=>011000=>24
[1,5,2,6,7,4,3]=>011100=>28
[1,5,2,7,3,4,6]=>011000=>24
[1,5,2,7,3,6,4]=>011100=>28
[1,5,2,7,4,3,6]=>011100=>28
[1,5,2,7,4,6,3]=>011100=>28
[1,5,2,7,6,3,4]=>011001=>25
[1,5,2,7,6,4,3]=>011101=>29
[1,5,3,2,4,6,7]=>011000=>24
[1,5,3,2,4,7,6]=>011001=>25
[1,5,3,2,6,4,7]=>011100=>28
[1,5,3,2,6,7,4]=>011100=>28
[1,5,3,2,7,4,6]=>011100=>28
[1,5,3,2,7,6,4]=>011101=>29
[1,5,3,4,2,6,7]=>011000=>24
[1,5,3,4,2,7,6]=>011001=>25
[1,5,3,4,6,2,7]=>011000=>24
[1,5,3,4,6,7,2]=>011000=>24
[1,5,3,4,7,2,6]=>011000=>24
[1,5,3,4,7,6,2]=>011001=>25
[1,5,3,6,2,4,7]=>011000=>24
[1,5,3,6,2,7,4]=>011100=>28
[1,5,3,6,4,2,7]=>011100=>28
[1,5,3,6,4,7,2]=>011100=>28
[1,5,3,6,7,2,4]=>011000=>24
[1,5,3,6,7,4,2]=>011100=>28
[1,5,3,7,2,4,6]=>011000=>24
[1,5,3,7,2,6,4]=>011100=>28
[1,5,3,7,4,2,6]=>011100=>28
[1,5,3,7,4,6,2]=>011100=>28
[1,5,3,7,6,2,4]=>011001=>25
[1,5,3,7,6,4,2]=>011101=>29
[1,5,4,2,3,6,7]=>010100=>20
[1,5,4,2,3,7,6]=>010101=>21
[1,5,4,2,6,3,7]=>011100=>28
[1,5,4,2,6,7,3]=>011100=>28
[1,5,4,2,7,3,6]=>011100=>28
[1,5,4,2,7,6,3]=>011101=>29
[1,5,4,3,2,6,7]=>011100=>28
[1,5,4,3,2,7,6]=>011101=>29
[1,5,4,3,6,2,7]=>011100=>28
[1,5,4,3,6,7,2]=>011100=>28
[1,5,4,3,7,2,6]=>011100=>28
[1,5,4,3,7,6,2]=>011101=>29
[1,5,4,6,2,3,7]=>010100=>20
[1,5,4,6,2,7,3]=>011100=>28
[1,5,4,6,3,2,7]=>011100=>28
[1,5,4,6,3,7,2]=>011100=>28
[1,5,4,6,7,2,3]=>010100=>20
[1,5,4,6,7,3,2]=>011100=>28
[1,5,4,7,2,3,6]=>010100=>20
[1,5,4,7,2,6,3]=>011100=>28
[1,5,4,7,3,2,6]=>011100=>28
[1,5,4,7,3,6,2]=>011100=>28
[1,5,4,7,6,2,3]=>010101=>21
[1,5,4,7,6,3,2]=>011101=>29
[1,5,6,2,3,4,7]=>010000=>16
[1,5,6,2,3,7,4]=>010100=>20
[1,5,6,2,4,3,7]=>011000=>24
[1,5,6,2,4,7,3]=>011000=>24
[1,5,6,2,7,3,4]=>011000=>24
[1,5,6,2,7,4,3]=>011100=>28
[1,5,6,3,2,4,7]=>011000=>24
[1,5,6,3,2,7,4]=>011100=>28
[1,5,6,3,4,2,7]=>011000=>24
[1,5,6,3,4,7,2]=>011000=>24
[1,5,6,3,7,2,4]=>011000=>24
[1,5,6,3,7,4,2]=>011100=>28
[1,5,6,4,2,3,7]=>010100=>20
[1,5,6,4,2,7,3]=>011100=>28
[1,5,6,4,3,2,7]=>011100=>28
[1,5,6,4,3,7,2]=>011100=>28
[1,5,6,4,7,2,3]=>010100=>20
[1,5,6,4,7,3,2]=>011100=>28
[1,5,6,7,2,3,4]=>010000=>16
[1,5,6,7,2,4,3]=>011000=>24
[1,5,6,7,3,2,4]=>011000=>24
[1,5,6,7,3,4,2]=>011000=>24
[1,5,6,7,4,2,3]=>010100=>20
[1,5,6,7,4,3,2]=>011100=>28
[1,5,7,2,3,4,6]=>010000=>16
[1,5,7,2,3,6,4]=>010100=>20
[1,5,7,2,4,3,6]=>011000=>24
[1,5,7,2,4,6,3]=>011000=>24
[1,5,7,2,6,3,4]=>011000=>24
[1,5,7,2,6,4,3]=>011100=>28
[1,5,7,3,2,4,6]=>011000=>24
[1,5,7,3,2,6,4]=>011100=>28
[1,5,7,3,4,2,6]=>011000=>24
[1,5,7,3,4,6,2]=>011000=>24
[1,5,7,3,6,2,4]=>011000=>24
[1,5,7,3,6,4,2]=>011100=>28
[1,5,7,4,2,3,6]=>010100=>20
[1,5,7,4,2,6,3]=>011100=>28
[1,5,7,4,3,2,6]=>011100=>28
[1,5,7,4,3,6,2]=>011100=>28
[1,5,7,4,6,2,3]=>010100=>20
[1,5,7,4,6,3,2]=>011100=>28
[1,5,7,6,2,3,4]=>010001=>17
[1,5,7,6,2,4,3]=>011001=>25
[1,5,7,6,3,2,4]=>011001=>25
[1,5,7,6,3,4,2]=>011001=>25
[1,5,7,6,4,2,3]=>010101=>21
[1,5,7,6,4,3,2]=>011101=>29
[1,6,2,3,4,5,7]=>010000=>16
[1,6,2,3,4,7,5]=>010010=>18
[1,6,2,3,5,4,7]=>010100=>20
[1,6,2,3,5,7,4]=>010100=>20
[1,6,2,3,7,4,5]=>010100=>20
[1,6,2,3,7,5,4]=>010110=>22
[1,6,2,4,3,5,7]=>011000=>24
[1,6,2,4,3,7,5]=>011010=>26
[1,6,2,4,5,3,7]=>011000=>24
[1,6,2,4,5,7,3]=>011000=>24
[1,6,2,4,7,3,5]=>011000=>24
[1,6,2,4,7,5,3]=>011010=>26
[1,6,2,5,3,4,7]=>011000=>24
[1,6,2,5,3,7,4]=>011100=>28
[1,6,2,5,4,3,7]=>011100=>28
[1,6,2,5,4,7,3]=>011100=>28
[1,6,2,5,7,3,4]=>011000=>24
[1,6,2,5,7,4,3]=>011100=>28
[1,6,2,7,3,4,5]=>011000=>24
[1,6,2,7,3,5,4]=>011100=>28
[1,6,2,7,4,3,5]=>011100=>28
[1,6,2,7,4,5,3]=>011100=>28
[1,6,2,7,5,3,4]=>011010=>26
[1,6,2,7,5,4,3]=>011110=>30
[1,6,3,2,4,5,7]=>011000=>24
[1,6,3,2,4,7,5]=>011010=>26
[1,6,3,2,5,4,7]=>011100=>28
[1,6,3,2,5,7,4]=>011100=>28
[1,6,3,2,7,4,5]=>011100=>28
[1,6,3,2,7,5,4]=>011110=>30
[1,6,3,4,2,5,7]=>011000=>24
[1,6,3,4,2,7,5]=>011010=>26
[1,6,3,4,5,2,7]=>011000=>24
[1,6,3,4,5,7,2]=>011000=>24
[1,6,3,4,7,2,5]=>011000=>24
[1,6,3,4,7,5,2]=>011010=>26
[1,6,3,5,2,4,7]=>011000=>24
[1,6,3,5,2,7,4]=>011100=>28
[1,6,3,5,4,2,7]=>011100=>28
[1,6,3,5,4,7,2]=>011100=>28
[1,6,3,5,7,2,4]=>011000=>24
[1,6,3,5,7,4,2]=>011100=>28
[1,6,3,7,2,4,5]=>011000=>24
[1,6,3,7,2,5,4]=>011100=>28
[1,6,3,7,4,2,5]=>011100=>28
[1,6,3,7,4,5,2]=>011100=>28
[1,6,3,7,5,2,4]=>011010=>26
[1,6,3,7,5,4,2]=>011110=>30
[1,6,4,2,3,5,7]=>010100=>20
[1,6,4,2,3,7,5]=>010110=>22
[1,6,4,2,5,3,7]=>011100=>28
[1,6,4,2,5,7,3]=>011100=>28
[1,6,4,2,7,3,5]=>011100=>28
[1,6,4,2,7,5,3]=>011110=>30
[1,6,4,3,2,5,7]=>011100=>28
[1,6,4,3,2,7,5]=>011110=>30
[1,6,4,3,5,2,7]=>011100=>28
[1,6,4,3,5,7,2]=>011100=>28
[1,6,4,3,7,2,5]=>011100=>28
[1,6,4,3,7,5,2]=>011110=>30
[1,6,4,5,2,3,7]=>010100=>20
[1,6,4,5,2,7,3]=>011100=>28
[1,6,4,5,3,2,7]=>011100=>28
[1,6,4,5,3,7,2]=>011100=>28
[1,6,4,5,7,2,3]=>010100=>20
[1,6,4,5,7,3,2]=>011100=>28
[1,6,4,7,2,3,5]=>010100=>20
[1,6,4,7,2,5,3]=>011100=>28
[1,6,4,7,3,2,5]=>011100=>28
[1,6,4,7,3,5,2]=>011100=>28
[1,6,4,7,5,2,3]=>010110=>22
[1,6,4,7,5,3,2]=>011110=>30
[1,6,5,2,3,4,7]=>010010=>18
[1,6,5,2,3,7,4]=>010110=>22
[1,6,5,2,4,3,7]=>011010=>26
[1,6,5,2,4,7,3]=>011010=>26
[1,6,5,2,7,3,4]=>011010=>26
[1,6,5,2,7,4,3]=>011110=>30
[1,6,5,3,2,4,7]=>011010=>26
[1,6,5,3,2,7,4]=>011110=>30
[1,6,5,3,4,2,7]=>011010=>26
[1,6,5,3,4,7,2]=>011010=>26
[1,6,5,3,7,2,4]=>011010=>26
[1,6,5,3,7,4,2]=>011110=>30
[1,6,5,4,2,3,7]=>010110=>22
[1,6,5,4,2,7,3]=>011110=>30
[1,6,5,4,3,2,7]=>011110=>30
[1,6,5,4,3,7,2]=>011110=>30
[1,6,5,4,7,2,3]=>010110=>22
[1,6,5,4,7,3,2]=>011110=>30
[1,6,5,7,2,3,4]=>010010=>18
[1,6,5,7,2,4,3]=>011010=>26
[1,6,5,7,3,2,4]=>011010=>26
[1,6,5,7,3,4,2]=>011010=>26
[1,6,5,7,4,2,3]=>010110=>22
[1,6,5,7,4,3,2]=>011110=>30
[1,6,7,2,3,4,5]=>010000=>16
[1,6,7,2,3,5,4]=>010100=>20
[1,6,7,2,4,3,5]=>011000=>24
[1,6,7,2,4,5,3]=>011000=>24
[1,6,7,2,5,3,4]=>011000=>24
[1,6,7,2,5,4,3]=>011100=>28
[1,6,7,3,2,4,5]=>011000=>24
[1,6,7,3,2,5,4]=>011100=>28
[1,6,7,3,4,2,5]=>011000=>24
[1,6,7,3,4,5,2]=>011000=>24
[1,6,7,3,5,2,4]=>011000=>24
[1,6,7,3,5,4,2]=>011100=>28
[1,6,7,4,2,3,5]=>010100=>20
[1,6,7,4,2,5,3]=>011100=>28
[1,6,7,4,3,2,5]=>011100=>28
[1,6,7,4,3,5,2]=>011100=>28
[1,6,7,4,5,2,3]=>010100=>20
[1,6,7,4,5,3,2]=>011100=>28
[1,6,7,5,2,3,4]=>010010=>18
[1,6,7,5,2,4,3]=>011010=>26
[1,6,7,5,3,2,4]=>011010=>26
[1,6,7,5,3,4,2]=>011010=>26
[1,6,7,5,4,2,3]=>010110=>22
[1,6,7,5,4,3,2]=>011110=>30
[1,7,2,3,4,5,6]=>010000=>16
[1,7,2,3,4,6,5]=>010010=>18
[1,7,2,3,5,4,6]=>010100=>20
[1,7,2,3,5,6,4]=>010100=>20
[1,7,2,3,6,4,5]=>010100=>20
[1,7,2,3,6,5,4]=>010110=>22
[1,7,2,4,3,5,6]=>011000=>24
[1,7,2,4,3,6,5]=>011010=>26
[1,7,2,4,5,3,6]=>011000=>24
[1,7,2,4,5,6,3]=>011000=>24
[1,7,2,4,6,3,5]=>011000=>24
[1,7,2,4,6,5,3]=>011010=>26
[1,7,2,5,3,4,6]=>011000=>24
[1,7,2,5,3,6,4]=>011100=>28
[1,7,2,5,4,3,6]=>011100=>28
[1,7,2,5,4,6,3]=>011100=>28
[1,7,2,5,6,3,4]=>011000=>24
[1,7,2,5,6,4,3]=>011100=>28
[1,7,2,6,3,4,5]=>011000=>24
[1,7,2,6,3,5,4]=>011100=>28
[1,7,2,6,4,3,5]=>011100=>28
[1,7,2,6,4,5,3]=>011100=>28
[1,7,2,6,5,3,4]=>011010=>26
[1,7,2,6,5,4,3]=>011110=>30
[1,7,3,2,4,5,6]=>011000=>24
[1,7,3,2,4,6,5]=>011010=>26
[1,7,3,2,5,4,6]=>011100=>28
[1,7,3,2,5,6,4]=>011100=>28
[1,7,3,2,6,4,5]=>011100=>28
[1,7,3,2,6,5,4]=>011110=>30
[1,7,3,4,2,5,6]=>011000=>24
[1,7,3,4,2,6,5]=>011010=>26
[1,7,3,4,5,2,6]=>011000=>24
[1,7,3,4,5,6,2]=>011000=>24
[1,7,3,4,6,2,5]=>011000=>24
[1,7,3,4,6,5,2]=>011010=>26
[1,7,3,5,2,4,6]=>011000=>24
[1,7,3,5,2,6,4]=>011100=>28
[1,7,3,5,4,2,6]=>011100=>28
[1,7,3,5,4,6,2]=>011100=>28
[1,7,3,5,6,2,4]=>011000=>24
[1,7,3,5,6,4,2]=>011100=>28
[1,7,3,6,2,4,5]=>011000=>24
[1,7,3,6,2,5,4]=>011100=>28
[1,7,3,6,4,2,5]=>011100=>28
[1,7,3,6,4,5,2]=>011100=>28
[1,7,3,6,5,2,4]=>011010=>26
[1,7,3,6,5,4,2]=>011110=>30
[1,7,4,2,3,5,6]=>010100=>20
[1,7,4,2,3,6,5]=>010110=>22
[1,7,4,2,5,3,6]=>011100=>28
[1,7,4,2,5,6,3]=>011100=>28
[1,7,4,2,6,3,5]=>011100=>28
[1,7,4,2,6,5,3]=>011110=>30
[1,7,4,3,2,5,6]=>011100=>28
[1,7,4,3,2,6,5]=>011110=>30
[1,7,4,3,5,2,6]=>011100=>28
[1,7,4,3,5,6,2]=>011100=>28
[1,7,4,3,6,2,5]=>011100=>28
[1,7,4,3,6,5,2]=>011110=>30
[1,7,4,5,2,3,6]=>010100=>20
[1,7,4,5,2,6,3]=>011100=>28
[1,7,4,5,3,2,6]=>011100=>28
[1,7,4,5,3,6,2]=>011100=>28
[1,7,4,5,6,2,3]=>010100=>20
[1,7,4,5,6,3,2]=>011100=>28
[1,7,4,6,2,3,5]=>010100=>20
[1,7,4,6,2,5,3]=>011100=>28
[1,7,4,6,3,2,5]=>011100=>28
[1,7,4,6,3,5,2]=>011100=>28
[1,7,4,6,5,2,3]=>010110=>22
[1,7,4,6,5,3,2]=>011110=>30
[1,7,5,2,3,4,6]=>010010=>18
[1,7,5,2,3,6,4]=>010110=>22
[1,7,5,2,4,3,6]=>011010=>26
[1,7,5,2,4,6,3]=>011010=>26
[1,7,5,2,6,3,4]=>011010=>26
[1,7,5,2,6,4,3]=>011110=>30
[1,7,5,3,2,4,6]=>011010=>26
[1,7,5,3,2,6,4]=>011110=>30
[1,7,5,3,4,2,6]=>011010=>26
[1,7,5,3,4,6,2]=>011010=>26
[1,7,5,3,6,2,4]=>011010=>26
[1,7,5,3,6,4,2]=>011110=>30
[1,7,5,4,2,3,6]=>010110=>22
[1,7,5,4,2,6,3]=>011110=>30
[1,7,5,4,3,2,6]=>011110=>30
[1,7,5,4,3,6,2]=>011110=>30
[1,7,5,4,6,2,3]=>010110=>22
[1,7,5,4,6,3,2]=>011110=>30
[1,7,5,6,2,3,4]=>010010=>18
[1,7,5,6,2,4,3]=>011010=>26
[1,7,5,6,3,2,4]=>011010=>26
[1,7,5,6,3,4,2]=>011010=>26
[1,7,5,6,4,2,3]=>010110=>22
[1,7,5,6,4,3,2]=>011110=>30
[1,7,6,2,3,4,5]=>010001=>17
[1,7,6,2,3,5,4]=>010101=>21
[1,7,6,2,4,3,5]=>011001=>25
[1,7,6,2,4,5,3]=>011001=>25
[1,7,6,2,5,3,4]=>011001=>25
[1,7,6,2,5,4,3]=>011101=>29
[1,7,6,3,2,4,5]=>011001=>25
[1,7,6,3,2,5,4]=>011101=>29
[1,7,6,3,4,2,5]=>011001=>25
[1,7,6,3,4,5,2]=>011001=>25
[1,7,6,3,5,2,4]=>011001=>25
[1,7,6,3,5,4,2]=>011101=>29
[1,7,6,4,2,3,5]=>010101=>21
[1,7,6,4,2,5,3]=>011101=>29
[1,7,6,4,3,2,5]=>011101=>29
[1,7,6,4,3,5,2]=>011101=>29
[1,7,6,4,5,2,3]=>010101=>21
[1,7,6,4,5,3,2]=>011101=>29
[1,7,6,5,2,3,4]=>010011=>19
[1,7,6,5,2,4,3]=>011011=>27
[1,7,6,5,3,2,4]=>011011=>27
[1,7,6,5,3,4,2]=>011011=>27
[1,7,6,5,4,2,3]=>010111=>23
[1,7,6,5,4,3,2]=>011111=>31
[2,1,3,4,5,6,7]=>100000=>32
[2,1,3,4,5,7,6]=>100001=>33
[2,1,3,4,6,5,7]=>100010=>34
[2,1,3,4,6,7,5]=>100010=>34
[2,1,3,4,7,5,6]=>100010=>34
[2,1,3,4,7,6,5]=>100011=>35
[2,1,3,5,4,6,7]=>100100=>36
[2,1,3,5,4,7,6]=>100101=>37
[2,1,3,5,6,4,7]=>100100=>36
[2,1,3,5,6,7,4]=>100100=>36
[2,1,3,5,7,4,6]=>100100=>36
[2,1,3,5,7,6,4]=>100101=>37
[2,1,3,6,4,5,7]=>100100=>36
[2,1,3,6,4,7,5]=>100110=>38
[2,1,3,6,5,4,7]=>100110=>38
[2,1,3,6,5,7,4]=>100110=>38
[2,1,3,6,7,4,5]=>100100=>36
[2,1,3,6,7,5,4]=>100110=>38
[2,1,3,7,4,5,6]=>100100=>36
[2,1,3,7,4,6,5]=>100110=>38
[2,1,3,7,5,4,6]=>100110=>38
[2,1,3,7,5,6,4]=>100110=>38
[2,1,3,7,6,4,5]=>100101=>37
[2,1,3,7,6,5,4]=>100111=>39
[2,1,4,3,5,6,7]=>101000=>40
[2,1,4,3,5,7,6]=>101001=>41
[2,1,4,3,6,5,7]=>101010=>42
[2,1,4,3,6,7,5]=>101010=>42
[2,1,4,3,7,5,6]=>101010=>42
[2,1,4,3,7,6,5]=>101011=>43
[2,1,4,5,3,6,7]=>101000=>40
[2,1,4,5,3,7,6]=>101001=>41
[2,1,4,5,6,3,7]=>101000=>40
[2,1,4,5,6,7,3]=>101000=>40
[2,1,4,5,7,3,6]=>101000=>40
[2,1,4,5,7,6,3]=>101001=>41
[2,1,4,6,3,5,7]=>101000=>40
[2,1,4,6,3,7,5]=>101010=>42
[2,1,4,6,5,3,7]=>101010=>42
[2,1,4,6,5,7,3]=>101010=>42
[2,1,4,6,7,3,5]=>101000=>40
[2,1,4,6,7,5,3]=>101010=>42
[2,1,4,7,3,5,6]=>101000=>40
[2,1,4,7,3,6,5]=>101010=>42
[2,1,4,7,5,3,6]=>101010=>42
[2,1,4,7,5,6,3]=>101010=>42
[2,1,4,7,6,3,5]=>101001=>41
[2,1,4,7,6,5,3]=>101011=>43
[2,1,5,3,4,6,7]=>101000=>40
[2,1,5,3,4,7,6]=>101001=>41
[2,1,5,3,6,4,7]=>101100=>44
[2,1,5,3,6,7,4]=>101100=>44
[2,1,5,3,7,4,6]=>101100=>44
[2,1,5,3,7,6,4]=>101101=>45
[2,1,5,4,3,6,7]=>101100=>44
[2,1,5,4,3,7,6]=>101101=>45
[2,1,5,4,6,3,7]=>101100=>44
[2,1,5,4,6,7,3]=>101100=>44
[2,1,5,4,7,3,6]=>101100=>44
[2,1,5,4,7,6,3]=>101101=>45
[2,1,5,6,3,4,7]=>101000=>40
[2,1,5,6,3,7,4]=>101100=>44
[2,1,5,6,4,3,7]=>101100=>44
[2,1,5,6,4,7,3]=>101100=>44
[2,1,5,6,7,3,4]=>101000=>40
[2,1,5,6,7,4,3]=>101100=>44
[2,1,5,7,3,4,6]=>101000=>40
[2,1,5,7,3,6,4]=>101100=>44
[2,1,5,7,4,3,6]=>101100=>44
[2,1,5,7,4,6,3]=>101100=>44
[2,1,5,7,6,3,4]=>101001=>41
[2,1,5,7,6,4,3]=>101101=>45
[2,1,6,3,4,5,7]=>101000=>40
[2,1,6,3,4,7,5]=>101010=>42
[2,1,6,3,5,4,7]=>101100=>44
[2,1,6,3,5,7,4]=>101100=>44
[2,1,6,3,7,4,5]=>101100=>44
[2,1,6,3,7,5,4]=>101110=>46
[2,1,6,4,3,5,7]=>101100=>44
[2,1,6,4,3,7,5]=>101110=>46
[2,1,6,4,5,3,7]=>101100=>44
[2,1,6,4,5,7,3]=>101100=>44
[2,1,6,4,7,3,5]=>101100=>44
[2,1,6,4,7,5,3]=>101110=>46
[2,1,6,5,3,4,7]=>101010=>42
[2,1,6,5,3,7,4]=>101110=>46
[2,1,6,5,4,3,7]=>101110=>46
[2,1,6,5,4,7,3]=>101110=>46
[2,1,6,5,7,3,4]=>101010=>42
[2,1,6,5,7,4,3]=>101110=>46
[2,1,6,7,3,4,5]=>101000=>40
[2,1,6,7,3,5,4]=>101100=>44
[2,1,6,7,4,3,5]=>101100=>44
[2,1,6,7,4,5,3]=>101100=>44
[2,1,6,7,5,3,4]=>101010=>42
[2,1,6,7,5,4,3]=>101110=>46
[2,1,7,3,4,5,6]=>101000=>40
[2,1,7,3,4,6,5]=>101010=>42
[2,1,7,3,5,4,6]=>101100=>44
[2,1,7,3,5,6,4]=>101100=>44
[2,1,7,3,6,4,5]=>101100=>44
[2,1,7,3,6,5,4]=>101110=>46
[2,1,7,4,3,5,6]=>101100=>44
[2,1,7,4,3,6,5]=>101110=>46
[2,1,7,4,5,3,6]=>101100=>44
[2,1,7,4,5,6,3]=>101100=>44
[2,1,7,4,6,3,5]=>101100=>44
[2,1,7,4,6,5,3]=>101110=>46
[2,1,7,5,3,4,6]=>101010=>42
[2,1,7,5,3,6,4]=>101110=>46
[2,1,7,5,4,3,6]=>101110=>46
[2,1,7,5,4,6,3]=>101110=>46
[2,1,7,5,6,3,4]=>101010=>42
[2,1,7,5,6,4,3]=>101110=>46
[2,1,7,6,3,4,5]=>101001=>41
[2,1,7,6,3,5,4]=>101101=>45
[2,1,7,6,4,3,5]=>101101=>45
[2,1,7,6,4,5,3]=>101101=>45
[2,1,7,6,5,3,4]=>101011=>43
[2,1,7,6,5,4,3]=>101111=>47
[2,3,1,4,5,6,7]=>100000=>32
[2,3,1,4,5,7,6]=>100001=>33
[2,3,1,4,6,5,7]=>100010=>34
[2,3,1,4,6,7,5]=>100010=>34
[2,3,1,4,7,5,6]=>100010=>34
[2,3,1,4,7,6,5]=>100011=>35
[2,3,1,5,4,6,7]=>100100=>36
[2,3,1,5,4,7,6]=>100101=>37
[2,3,1,5,6,4,7]=>100100=>36
[2,3,1,5,6,7,4]=>100100=>36
[2,3,1,5,7,4,6]=>100100=>36
[2,3,1,5,7,6,4]=>100101=>37
[2,3,1,6,4,5,7]=>100100=>36
[2,3,1,6,4,7,5]=>100110=>38
[2,3,1,6,5,4,7]=>100110=>38
[2,3,1,6,5,7,4]=>100110=>38
[2,3,1,6,7,4,5]=>100100=>36
[2,3,1,6,7,5,4]=>100110=>38
[2,3,1,7,4,5,6]=>100100=>36
[2,3,1,7,4,6,5]=>100110=>38
[2,3,1,7,5,4,6]=>100110=>38
[2,3,1,7,5,6,4]=>100110=>38
[2,3,1,7,6,4,5]=>100101=>37
[2,3,1,7,6,5,4]=>100111=>39
[2,3,4,1,5,6,7]=>100000=>32
[2,3,4,1,5,7,6]=>100001=>33
[2,3,4,1,6,5,7]=>100010=>34
[2,3,4,1,6,7,5]=>100010=>34
[2,3,4,1,7,5,6]=>100010=>34
[2,3,4,1,7,6,5]=>100011=>35
[2,3,4,5,1,6,7]=>100000=>32
[2,3,4,5,1,7,6]=>100001=>33
[2,3,4,5,6,1,7]=>100000=>32
[2,3,4,5,6,7,1]=>100000=>32
[2,3,4,5,7,1,6]=>100000=>32
[2,3,4,5,7,6,1]=>100001=>33
[2,3,4,6,1,5,7]=>100000=>32
[2,3,4,6,1,7,5]=>100010=>34
[2,3,4,6,5,1,7]=>100010=>34
[2,3,4,6,5,7,1]=>100010=>34
[2,3,4,6,7,1,5]=>100000=>32
[2,3,4,6,7,5,1]=>100010=>34
[2,3,4,7,1,5,6]=>100000=>32
[2,3,4,7,1,6,5]=>100010=>34
[2,3,4,7,5,1,6]=>100010=>34
[2,3,4,7,5,6,1]=>100010=>34
[2,3,4,7,6,1,5]=>100001=>33
[2,3,4,7,6,5,1]=>100011=>35
[2,3,5,1,4,6,7]=>100000=>32
[2,3,5,1,4,7,6]=>100001=>33
[2,3,5,1,6,4,7]=>100100=>36
[2,3,5,1,6,7,4]=>100100=>36
[2,3,5,1,7,4,6]=>100100=>36
[2,3,5,1,7,6,4]=>100101=>37
[2,3,5,4,1,6,7]=>100100=>36
[2,3,5,4,1,7,6]=>100101=>37
[2,3,5,4,6,1,7]=>100100=>36
[2,3,5,4,6,7,1]=>100100=>36
[2,3,5,4,7,1,6]=>100100=>36
[2,3,5,4,7,6,1]=>100101=>37
[2,3,5,6,1,4,7]=>100000=>32
[2,3,5,6,1,7,4]=>100100=>36
[2,3,5,6,4,1,7]=>100100=>36
[2,3,5,6,4,7,1]=>100100=>36
[2,3,5,6,7,1,4]=>100000=>32
[2,3,5,6,7,4,1]=>100100=>36
[2,3,5,7,1,4,6]=>100000=>32
[2,3,5,7,1,6,4]=>100100=>36
[2,3,5,7,4,1,6]=>100100=>36
[2,3,5,7,4,6,1]=>100100=>36
[2,3,5,7,6,1,4]=>100001=>33
[2,3,5,7,6,4,1]=>100101=>37
[2,3,6,1,4,5,7]=>100000=>32
[2,3,6,1,4,7,5]=>100010=>34
[2,3,6,1,5,4,7]=>100100=>36
[2,3,6,1,5,7,4]=>100100=>36
[2,3,6,1,7,4,5]=>100100=>36
[2,3,6,1,7,5,4]=>100110=>38
[2,3,6,4,1,5,7]=>100100=>36
[2,3,6,4,1,7,5]=>100110=>38
[2,3,6,4,5,1,7]=>100100=>36
[2,3,6,4,5,7,1]=>100100=>36
[2,3,6,4,7,1,5]=>100100=>36
[2,3,6,4,7,5,1]=>100110=>38
[2,3,6,5,1,4,7]=>100010=>34
[2,3,6,5,1,7,4]=>100110=>38
[2,3,6,5,4,1,7]=>100110=>38
[2,3,6,5,4,7,1]=>100110=>38
[2,3,6,5,7,1,4]=>100010=>34
[2,3,6,5,7,4,1]=>100110=>38
[2,3,6,7,1,4,5]=>100000=>32
[2,3,6,7,1,5,4]=>100100=>36
[2,3,6,7,4,1,5]=>100100=>36
[2,3,6,7,4,5,1]=>100100=>36
[2,3,6,7,5,1,4]=>100010=>34
[2,3,6,7,5,4,1]=>100110=>38
[2,3,7,1,4,5,6]=>100000=>32
[2,3,7,1,4,6,5]=>100010=>34
[2,3,7,1,5,4,6]=>100100=>36
[2,3,7,1,5,6,4]=>100100=>36
[2,3,7,1,6,4,5]=>100100=>36
[2,3,7,1,6,5,4]=>100110=>38
[2,3,7,4,1,5,6]=>100100=>36
[2,3,7,4,1,6,5]=>100110=>38
[2,3,7,4,5,1,6]=>100100=>36
[2,3,7,4,5,6,1]=>100100=>36
[2,3,7,4,6,1,5]=>100100=>36
[2,3,7,4,6,5,1]=>100110=>38
[2,3,7,5,1,4,6]=>100010=>34
[2,3,7,5,1,6,4]=>100110=>38
[2,3,7,5,4,1,6]=>100110=>38
[2,3,7,5,4,6,1]=>100110=>38
[2,3,7,5,6,1,4]=>100010=>34
[2,3,7,5,6,4,1]=>100110=>38
[2,3,7,6,1,4,5]=>100001=>33
[2,3,7,6,1,5,4]=>100101=>37
[2,3,7,6,4,1,5]=>100101=>37
[2,3,7,6,4,5,1]=>100101=>37
[2,3,7,6,5,1,4]=>100011=>35
[2,3,7,6,5,4,1]=>100111=>39
[2,4,1,3,5,6,7]=>100000=>32
[2,4,1,3,5,7,6]=>100001=>33
[2,4,1,3,6,5,7]=>100010=>34
[2,4,1,3,6,7,5]=>100010=>34
[2,4,1,3,7,5,6]=>100010=>34
[2,4,1,3,7,6,5]=>100011=>35
[2,4,1,5,3,6,7]=>101000=>40
[2,4,1,5,3,7,6]=>101001=>41
[2,4,1,5,6,3,7]=>101000=>40
[2,4,1,5,6,7,3]=>101000=>40
[2,4,1,5,7,3,6]=>101000=>40
[2,4,1,5,7,6,3]=>101001=>41
[2,4,1,6,3,5,7]=>101000=>40
[2,4,1,6,3,7,5]=>101010=>42
[2,4,1,6,5,3,7]=>101010=>42
[2,4,1,6,5,7,3]=>101010=>42
[2,4,1,6,7,3,5]=>101000=>40
[2,4,1,6,7,5,3]=>101010=>42
[2,4,1,7,3,5,6]=>101000=>40
[2,4,1,7,3,6,5]=>101010=>42
[2,4,1,7,5,3,6]=>101010=>42
[2,4,1,7,5,6,3]=>101010=>42
[2,4,1,7,6,3,5]=>101001=>41
[2,4,1,7,6,5,3]=>101011=>43
[2,4,3,1,5,6,7]=>101000=>40
[2,4,3,1,5,7,6]=>101001=>41
[2,4,3,1,6,5,7]=>101010=>42
[2,4,3,1,6,7,5]=>101010=>42
[2,4,3,1,7,5,6]=>101010=>42
[2,4,3,1,7,6,5]=>101011=>43
[2,4,3,5,1,6,7]=>101000=>40
[2,4,3,5,1,7,6]=>101001=>41
[2,4,3,5,6,1,7]=>101000=>40
[2,4,3,5,6,7,1]=>101000=>40
[2,4,3,5,7,1,6]=>101000=>40
[2,4,3,5,7,6,1]=>101001=>41
[2,4,3,6,1,5,7]=>101000=>40
[2,4,3,6,1,7,5]=>101010=>42
[2,4,3,6,5,1,7]=>101010=>42
[2,4,3,6,5,7,1]=>101010=>42
[2,4,3,6,7,1,5]=>101000=>40
[2,4,3,6,7,5,1]=>101010=>42
[2,4,3,7,1,5,6]=>101000=>40
[2,4,3,7,1,6,5]=>101010=>42
[2,4,3,7,5,1,6]=>101010=>42
[2,4,3,7,5,6,1]=>101010=>42
[2,4,3,7,6,1,5]=>101001=>41
[2,4,3,7,6,5,1]=>101011=>43
[2,4,5,1,3,6,7]=>100000=>32
[2,4,5,1,3,7,6]=>100001=>33
[2,4,5,1,6,3,7]=>101000=>40
[2,4,5,1,6,7,3]=>101000=>40
[2,4,5,1,7,3,6]=>101000=>40
[2,4,5,1,7,6,3]=>101001=>41
[2,4,5,3,1,6,7]=>101000=>40
[2,4,5,3,1,7,6]=>101001=>41
[2,4,5,3,6,1,7]=>101000=>40
[2,4,5,3,6,7,1]=>101000=>40
[2,4,5,3,7,1,6]=>101000=>40
[2,4,5,3,7,6,1]=>101001=>41
[2,4,5,6,1,3,7]=>100000=>32
[2,4,5,6,1,7,3]=>101000=>40
[2,4,5,6,3,1,7]=>101000=>40
[2,4,5,6,3,7,1]=>101000=>40
[2,4,5,6,7,1,3]=>100000=>32
[2,4,5,6,7,3,1]=>101000=>40
[2,4,5,7,1,3,6]=>100000=>32
[2,4,5,7,1,6,3]=>101000=>40
[2,4,5,7,3,1,6]=>101000=>40
[2,4,5,7,3,6,1]=>101000=>40
[2,4,5,7,6,1,3]=>100001=>33
[2,4,5,7,6,3,1]=>101001=>41
[2,4,6,1,3,5,7]=>100000=>32
[2,4,6,1,3,7,5]=>100010=>34
[2,4,6,1,5,3,7]=>101000=>40
[2,4,6,1,5,7,3]=>101000=>40
[2,4,6,1,7,3,5]=>101000=>40
[2,4,6,1,7,5,3]=>101010=>42
[2,4,6,3,1,5,7]=>101000=>40
[2,4,6,3,1,7,5]=>101010=>42
[2,4,6,3,5,1,7]=>101000=>40
[2,4,6,3,5,7,1]=>101000=>40
[2,4,6,3,7,1,5]=>101000=>40
[2,4,6,3,7,5,1]=>101010=>42
[2,4,6,5,1,3,7]=>100010=>34
[2,4,6,5,1,7,3]=>101010=>42
[2,4,6,5,3,1,7]=>101010=>42
[2,4,6,5,3,7,1]=>101010=>42
[2,4,6,5,7,1,3]=>100010=>34
[2,4,6,5,7,3,1]=>101010=>42
[2,4,6,7,1,3,5]=>100000=>32
[2,4,6,7,1,5,3]=>101000=>40
[2,4,6,7,3,1,5]=>101000=>40
[2,4,6,7,3,5,1]=>101000=>40
[2,4,6,7,5,1,3]=>100010=>34
[2,4,6,7,5,3,1]=>101010=>42
[2,4,7,1,3,5,6]=>100000=>32
[2,4,7,1,3,6,5]=>100010=>34
[2,4,7,1,5,3,6]=>101000=>40
[2,4,7,1,5,6,3]=>101000=>40
[2,4,7,1,6,3,5]=>101000=>40
[2,4,7,1,6,5,3]=>101010=>42
[2,4,7,3,1,5,6]=>101000=>40
[2,4,7,3,1,6,5]=>101010=>42
[2,4,7,3,5,1,6]=>101000=>40
[2,4,7,3,5,6,1]=>101000=>40
[2,4,7,3,6,1,5]=>101000=>40
[2,4,7,3,6,5,1]=>101010=>42
[2,4,7,5,1,3,6]=>100010=>34
[2,4,7,5,1,6,3]=>101010=>42
[2,4,7,5,3,1,6]=>101010=>42
[2,4,7,5,3,6,1]=>101010=>42
[2,4,7,5,6,1,3]=>100010=>34
[2,4,7,5,6,3,1]=>101010=>42
[2,4,7,6,1,3,5]=>100001=>33
[2,4,7,6,1,5,3]=>101001=>41
[2,4,7,6,3,1,5]=>101001=>41
[2,4,7,6,3,5,1]=>101001=>41
[2,4,7,6,5,1,3]=>100011=>35
[2,4,7,6,5,3,1]=>101011=>43
[2,5,1,3,4,6,7]=>100000=>32
[2,5,1,3,4,7,6]=>100001=>33
[2,5,1,3,6,4,7]=>100100=>36
[2,5,1,3,6,7,4]=>100100=>36
[2,5,1,3,7,4,6]=>100100=>36
[2,5,1,3,7,6,4]=>100101=>37
[2,5,1,4,3,6,7]=>101000=>40
[2,5,1,4,3,7,6]=>101001=>41
[2,5,1,4,6,3,7]=>101000=>40
[2,5,1,4,6,7,3]=>101000=>40
[2,5,1,4,7,3,6]=>101000=>40
[2,5,1,4,7,6,3]=>101001=>41
[2,5,1,6,3,4,7]=>101000=>40
[2,5,1,6,3,7,4]=>101100=>44
[2,5,1,6,4,3,7]=>101100=>44
[2,5,1,6,4,7,3]=>101100=>44
[2,5,1,6,7,3,4]=>101000=>40
[2,5,1,6,7,4,3]=>101100=>44
[2,5,1,7,3,4,6]=>101000=>40
[2,5,1,7,3,6,4]=>101100=>44
[2,5,1,7,4,3,6]=>101100=>44
[2,5,1,7,4,6,3]=>101100=>44
[2,5,1,7,6,3,4]=>101001=>41
[2,5,1,7,6,4,3]=>101101=>45
[2,5,3,1,4,6,7]=>101000=>40
[2,5,3,1,4,7,6]=>101001=>41
[2,5,3,1,6,4,7]=>101100=>44
[2,5,3,1,6,7,4]=>101100=>44
[2,5,3,1,7,4,6]=>101100=>44
[2,5,3,1,7,6,4]=>101101=>45
[2,5,3,4,1,6,7]=>101000=>40
[2,5,3,4,1,7,6]=>101001=>41
[2,5,3,4,6,1,7]=>101000=>40
[2,5,3,4,6,7,1]=>101000=>40
[2,5,3,4,7,1,6]=>101000=>40
[2,5,3,4,7,6,1]=>101001=>41
[2,5,3,6,1,4,7]=>101000=>40
[2,5,3,6,1,7,4]=>101100=>44
[2,5,3,6,4,1,7]=>101100=>44
[2,5,3,6,4,7,1]=>101100=>44
[2,5,3,6,7,1,4]=>101000=>40
[2,5,3,6,7,4,1]=>101100=>44
[2,5,3,7,1,4,6]=>101000=>40
[2,5,3,7,1,6,4]=>101100=>44
[2,5,3,7,4,1,6]=>101100=>44
[2,5,3,7,4,6,1]=>101100=>44
[2,5,3,7,6,1,4]=>101001=>41
[2,5,3,7,6,4,1]=>101101=>45
[2,5,4,1,3,6,7]=>100100=>36
[2,5,4,1,3,7,6]=>100101=>37
[2,5,4,1,6,3,7]=>101100=>44
[2,5,4,1,6,7,3]=>101100=>44
[2,5,4,1,7,3,6]=>101100=>44
[2,5,4,1,7,6,3]=>101101=>45
[2,5,4,3,1,6,7]=>101100=>44
[2,5,4,3,1,7,6]=>101101=>45
[2,5,4,3,6,1,7]=>101100=>44
[2,5,4,3,6,7,1]=>101100=>44
[2,5,4,3,7,1,6]=>101100=>44
[2,5,4,3,7,6,1]=>101101=>45
[2,5,4,6,1,3,7]=>100100=>36
[2,5,4,6,1,7,3]=>101100=>44
[2,5,4,6,3,1,7]=>101100=>44
[2,5,4,6,3,7,1]=>101100=>44
[2,5,4,6,7,1,3]=>100100=>36
[2,5,4,6,7,3,1]=>101100=>44
[2,5,4,7,1,3,6]=>100100=>36
[2,5,4,7,1,6,3]=>101100=>44
[2,5,4,7,3,1,6]=>101100=>44
[2,5,4,7,3,6,1]=>101100=>44
[2,5,4,7,6,1,3]=>100101=>37
[2,5,4,7,6,3,1]=>101101=>45
[2,5,6,1,3,4,7]=>100000=>32
[2,5,6,1,3,7,4]=>100100=>36
[2,5,6,1,4,3,7]=>101000=>40
[2,5,6,1,4,7,3]=>101000=>40
[2,5,6,1,7,3,4]=>101000=>40
[2,5,6,1,7,4,3]=>101100=>44
[2,5,6,3,1,4,7]=>101000=>40
[2,5,6,3,1,7,4]=>101100=>44
[2,5,6,3,4,1,7]=>101000=>40
[2,5,6,3,4,7,1]=>101000=>40
[2,5,6,3,7,1,4]=>101000=>40
[2,5,6,3,7,4,1]=>101100=>44
[2,5,6,4,1,3,7]=>100100=>36
[2,5,6,4,1,7,3]=>101100=>44
[2,5,6,4,3,1,7]=>101100=>44
[2,5,6,4,3,7,1]=>101100=>44
[2,5,6,4,7,1,3]=>100100=>36
[2,5,6,4,7,3,1]=>101100=>44
[2,5,6,7,1,3,4]=>100000=>32
[2,5,6,7,1,4,3]=>101000=>40
[2,5,6,7,3,1,4]=>101000=>40
[2,5,6,7,3,4,1]=>101000=>40
[2,5,6,7,4,1,3]=>100100=>36
[2,5,6,7,4,3,1]=>101100=>44
[2,5,7,1,3,4,6]=>100000=>32
[2,5,7,1,3,6,4]=>100100=>36
[2,5,7,1,4,3,6]=>101000=>40
[2,5,7,1,4,6,3]=>101000=>40
[2,5,7,1,6,3,4]=>101000=>40
[2,5,7,1,6,4,3]=>101100=>44
[2,5,7,3,1,4,6]=>101000=>40
[2,5,7,3,1,6,4]=>101100=>44
[2,5,7,3,4,1,6]=>101000=>40
[2,5,7,3,4,6,1]=>101000=>40
[2,5,7,3,6,1,4]=>101000=>40
[2,5,7,3,6,4,1]=>101100=>44
[2,5,7,4,1,3,6]=>100100=>36
[2,5,7,4,1,6,3]=>101100=>44
[2,5,7,4,3,1,6]=>101100=>44
[2,5,7,4,3,6,1]=>101100=>44
[2,5,7,4,6,1,3]=>100100=>36
[2,5,7,4,6,3,1]=>101100=>44
[2,5,7,6,1,3,4]=>100001=>33
[2,5,7,6,1,4,3]=>101001=>41
[2,5,7,6,3,1,4]=>101001=>41
[2,5,7,6,3,4,1]=>101001=>41
[2,5,7,6,4,1,3]=>100101=>37
[2,5,7,6,4,3,1]=>101101=>45
[2,6,1,3,4,5,7]=>100000=>32
[2,6,1,3,4,7,5]=>100010=>34
[2,6,1,3,5,4,7]=>100100=>36
[2,6,1,3,5,7,4]=>100100=>36
[2,6,1,3,7,4,5]=>100100=>36
[2,6,1,3,7,5,4]=>100110=>38
[2,6,1,4,3,5,7]=>101000=>40
[2,6,1,4,3,7,5]=>101010=>42
[2,6,1,4,5,3,7]=>101000=>40
[2,6,1,4,5,7,3]=>101000=>40
[2,6,1,4,7,3,5]=>101000=>40
[2,6,1,4,7,5,3]=>101010=>42
[2,6,1,5,3,4,7]=>101000=>40
[2,6,1,5,3,7,4]=>101100=>44
[2,6,1,5,4,3,7]=>101100=>44
[2,6,1,5,4,7,3]=>101100=>44
[2,6,1,5,7,3,4]=>101000=>40
[2,6,1,5,7,4,3]=>101100=>44
[2,6,1,7,3,4,5]=>101000=>40
[2,6,1,7,3,5,4]=>101100=>44
[2,6,1,7,4,3,5]=>101100=>44
[2,6,1,7,4,5,3]=>101100=>44
[2,6,1,7,5,3,4]=>101010=>42
[2,6,1,7,5,4,3]=>101110=>46
[2,6,3,1,4,5,7]=>101000=>40
[2,6,3,1,4,7,5]=>101010=>42
[2,6,3,1,5,4,7]=>101100=>44
[2,6,3,1,5,7,4]=>101100=>44
[2,6,3,1,7,4,5]=>101100=>44
[2,6,3,1,7,5,4]=>101110=>46
[2,6,3,4,1,5,7]=>101000=>40
[2,6,3,4,1,7,5]=>101010=>42
[2,6,3,4,5,1,7]=>101000=>40
[2,6,3,4,5,7,1]=>101000=>40
[2,6,3,4,7,1,5]=>101000=>40
[2,6,3,4,7,5,1]=>101010=>42
[2,6,3,5,1,4,7]=>101000=>40
[2,6,3,5,1,7,4]=>101100=>44
[2,6,3,5,4,1,7]=>101100=>44
[2,6,3,5,4,7,1]=>101100=>44
[2,6,3,5,7,1,4]=>101000=>40
[2,6,3,5,7,4,1]=>101100=>44
[2,6,3,7,1,4,5]=>101000=>40
[2,6,3,7,1,5,4]=>101100=>44
[2,6,3,7,4,1,5]=>101100=>44
[2,6,3,7,4,5,1]=>101100=>44
[2,6,3,7,5,1,4]=>101010=>42
[2,6,3,7,5,4,1]=>101110=>46
[2,6,4,1,3,5,7]=>100100=>36
[2,6,4,1,3,7,5]=>100110=>38
[2,6,4,1,5,3,7]=>101100=>44
[2,6,4,1,5,7,3]=>101100=>44
[2,6,4,1,7,3,5]=>101100=>44
[2,6,4,1,7,5,3]=>101110=>46
[2,6,4,3,1,5,7]=>101100=>44
[2,6,4,3,1,7,5]=>101110=>46
[2,6,4,3,5,1,7]=>101100=>44
[2,6,4,3,5,7,1]=>101100=>44
[2,6,4,3,7,1,5]=>101100=>44
[2,6,4,3,7,5,1]=>101110=>46
[2,6,4,5,1,3,7]=>100100=>36
[2,6,4,5,1,7,3]=>101100=>44
[2,6,4,5,3,1,7]=>101100=>44
[2,6,4,5,3,7,1]=>101100=>44
[2,6,4,5,7,1,3]=>100100=>36
[2,6,4,5,7,3,1]=>101100=>44
[2,6,4,7,1,3,5]=>100100=>36
[2,6,4,7,1,5,3]=>101100=>44
[2,6,4,7,3,1,5]=>101100=>44
[2,6,4,7,3,5,1]=>101100=>44
[2,6,4,7,5,1,3]=>100110=>38
[2,6,4,7,5,3,1]=>101110=>46
[2,6,5,1,3,4,7]=>100010=>34
[2,6,5,1,3,7,4]=>100110=>38
[2,6,5,1,4,3,7]=>101010=>42
[2,6,5,1,4,7,3]=>101010=>42
[2,6,5,1,7,3,4]=>101010=>42
[2,6,5,1,7,4,3]=>101110=>46
[2,6,5,3,1,4,7]=>101010=>42
[2,6,5,3,1,7,4]=>101110=>46
[2,6,5,3,4,1,7]=>101010=>42
[2,6,5,3,4,7,1]=>101010=>42
[2,6,5,3,7,1,4]=>101010=>42
[2,6,5,3,7,4,1]=>101110=>46
[2,6,5,4,1,3,7]=>100110=>38
[2,6,5,4,1,7,3]=>101110=>46
[2,6,5,4,3,1,7]=>101110=>46
[2,6,5,4,3,7,1]=>101110=>46
[2,6,5,4,7,1,3]=>100110=>38
[2,6,5,4,7,3,1]=>101110=>46
[2,6,5,7,1,3,4]=>100010=>34
[2,6,5,7,1,4,3]=>101010=>42
[2,6,5,7,3,1,4]=>101010=>42
[2,6,5,7,3,4,1]=>101010=>42
[2,6,5,7,4,1,3]=>100110=>38
[2,6,5,7,4,3,1]=>101110=>46
[2,6,7,1,3,4,5]=>100000=>32
[2,6,7,1,3,5,4]=>100100=>36
[2,6,7,1,4,3,5]=>101000=>40
[2,6,7,1,4,5,3]=>101000=>40
[2,6,7,1,5,3,4]=>101000=>40
[2,6,7,1,5,4,3]=>101100=>44
[2,6,7,3,1,4,5]=>101000=>40
[2,6,7,3,1,5,4]=>101100=>44
[2,6,7,3,4,1,5]=>101000=>40
[2,6,7,3,4,5,1]=>101000=>40
[2,6,7,3,5,1,4]=>101000=>40
[2,6,7,3,5,4,1]=>101100=>44
[2,6,7,4,1,3,5]=>100100=>36
[2,6,7,4,1,5,3]=>101100=>44
[2,6,7,4,3,1,5]=>101100=>44
[2,6,7,4,3,5,1]=>101100=>44
[2,6,7,4,5,1,3]=>100100=>36
[2,6,7,4,5,3,1]=>101100=>44
[2,6,7,5,1,3,4]=>100010=>34
[2,6,7,5,1,4,3]=>101010=>42
[2,6,7,5,3,1,4]=>101010=>42
[2,6,7,5,3,4,1]=>101010=>42
[2,6,7,5,4,1,3]=>100110=>38
[2,6,7,5,4,3,1]=>101110=>46
[2,7,1,3,4,5,6]=>100000=>32
[2,7,1,3,4,6,5]=>100010=>34
[2,7,1,3,5,4,6]=>100100=>36
[2,7,1,3,5,6,4]=>100100=>36
[2,7,1,3,6,4,5]=>100100=>36
[2,7,1,3,6,5,4]=>100110=>38
[2,7,1,4,3,5,6]=>101000=>40
[2,7,1,4,3,6,5]=>101010=>42
[2,7,1,4,5,3,6]=>101000=>40
[2,7,1,4,5,6,3]=>101000=>40
[2,7,1,4,6,3,5]=>101000=>40
[2,7,1,4,6,5,3]=>101010=>42
[2,7,1,5,3,4,6]=>101000=>40
[2,7,1,5,3,6,4]=>101100=>44
[2,7,1,5,4,3,6]=>101100=>44
[2,7,1,5,4,6,3]=>101100=>44
[2,7,1,5,6,3,4]=>101000=>40
[2,7,1,5,6,4,3]=>101100=>44
[2,7,1,6,3,4,5]=>101000=>40
[2,7,1,6,3,5,4]=>101100=>44
[2,7,1,6,4,3,5]=>101100=>44
[2,7,1,6,4,5,3]=>101100=>44
[2,7,1,6,5,3,4]=>101010=>42
[2,7,1,6,5,4,3]=>101110=>46
[2,7,3,1,4,5,6]=>101000=>40
[2,7,3,1,4,6,5]=>101010=>42
[2,7,3,1,5,4,6]=>101100=>44
[2,7,3,1,5,6,4]=>101100=>44
[2,7,3,1,6,4,5]=>101100=>44
[2,7,3,1,6,5,4]=>101110=>46
[2,7,3,4,1,5,6]=>101000=>40
[2,7,3,4,1,6,5]=>101010=>42
[2,7,3,4,5,1,6]=>101000=>40
[2,7,3,4,5,6,1]=>101000=>40
[2,7,3,4,6,1,5]=>101000=>40
[2,7,3,4,6,5,1]=>101010=>42
[2,7,3,5,1,4,6]=>101000=>40
[2,7,3,5,1,6,4]=>101100=>44
[2,7,3,5,4,1,6]=>101100=>44
[2,7,3,5,4,6,1]=>101100=>44
[2,7,3,5,6,1,4]=>101000=>40
[2,7,3,5,6,4,1]=>101100=>44
[2,7,3,6,1,4,5]=>101000=>40
[2,7,3,6,1,5,4]=>101100=>44
[2,7,3,6,4,1,5]=>101100=>44
[2,7,3,6,4,5,1]=>101100=>44
[2,7,3,6,5,1,4]=>101010=>42
[2,7,3,6,5,4,1]=>101110=>46
[2,7,4,1,3,5,6]=>100100=>36
[2,7,4,1,3,6,5]=>100110=>38
[2,7,4,1,5,3,6]=>101100=>44
[2,7,4,1,5,6,3]=>101100=>44
[2,7,4,1,6,3,5]=>101100=>44
[2,7,4,1,6,5,3]=>101110=>46
[2,7,4,3,1,5,6]=>101100=>44
[2,7,4,3,1,6,5]=>101110=>46
[2,7,4,3,5,1,6]=>101100=>44
[2,7,4,3,5,6,1]=>101100=>44
[2,7,4,3,6,1,5]=>101100=>44
[2,7,4,3,6,5,1]=>101110=>46
[2,7,4,5,1,3,6]=>100100=>36
[2,7,4,5,1,6,3]=>101100=>44
[2,7,4,5,3,1,6]=>101100=>44
[2,7,4,5,3,6,1]=>101100=>44
[2,7,4,5,6,1,3]=>100100=>36
[2,7,4,5,6,3,1]=>101100=>44
[2,7,4,6,1,3,5]=>100100=>36
[2,7,4,6,1,5,3]=>101100=>44
[2,7,4,6,3,1,5]=>101100=>44
[2,7,4,6,3,5,1]=>101100=>44
[2,7,4,6,5,1,3]=>100110=>38
[2,7,4,6,5,3,1]=>101110=>46
[2,7,5,1,3,4,6]=>100010=>34
[2,7,5,1,3,6,4]=>100110=>38
[2,7,5,1,4,3,6]=>101010=>42
[2,7,5,1,4,6,3]=>101010=>42
[2,7,5,1,6,3,4]=>101010=>42
[2,7,5,1,6,4,3]=>101110=>46
[2,7,5,3,1,4,6]=>101010=>42
[2,7,5,3,1,6,4]=>101110=>46
[2,7,5,3,4,1,6]=>101010=>42
[2,7,5,3,4,6,1]=>101010=>42
[2,7,5,3,6,1,4]=>101010=>42
[2,7,5,3,6,4,1]=>101110=>46
[2,7,5,4,1,3,6]=>100110=>38
[2,7,5,4,1,6,3]=>101110=>46
[2,7,5,4,3,1,6]=>101110=>46
[2,7,5,4,3,6,1]=>101110=>46
[2,7,5,4,6,1,3]=>100110=>38
[2,7,5,4,6,3,1]=>101110=>46
[2,7,5,6,1,3,4]=>100010=>34
[2,7,5,6,1,4,3]=>101010=>42
[2,7,5,6,3,1,4]=>101010=>42
[2,7,5,6,3,4,1]=>101010=>42
[2,7,5,6,4,1,3]=>100110=>38
[2,7,5,6,4,3,1]=>101110=>46
[2,7,6,1,3,4,5]=>100001=>33
[2,7,6,1,3,5,4]=>100101=>37
[2,7,6,1,4,3,5]=>101001=>41
[2,7,6,1,4,5,3]=>101001=>41
[2,7,6,1,5,3,4]=>101001=>41
[2,7,6,1,5,4,3]=>101101=>45
[2,7,6,3,1,4,5]=>101001=>41
[2,7,6,3,1,5,4]=>101101=>45
[2,7,6,3,4,1,5]=>101001=>41
[2,7,6,3,4,5,1]=>101001=>41
[2,7,6,3,5,1,4]=>101001=>41
[2,7,6,3,5,4,1]=>101101=>45
[2,7,6,4,1,3,5]=>100101=>37
[2,7,6,4,1,5,3]=>101101=>45
[2,7,6,4,3,1,5]=>101101=>45
[2,7,6,4,3,5,1]=>101101=>45
[2,7,6,4,5,1,3]=>100101=>37
[2,7,6,4,5,3,1]=>101101=>45
[2,7,6,5,1,3,4]=>100011=>35
[2,7,6,5,1,4,3]=>101011=>43
[2,7,6,5,3,1,4]=>101011=>43
[2,7,6,5,3,4,1]=>101011=>43
[2,7,6,5,4,1,3]=>100111=>39
[2,7,6,5,4,3,1]=>101111=>47
[3,1,2,4,5,6,7]=>100000=>32
[3,1,2,4,5,7,6]=>100001=>33
[3,1,2,4,6,5,7]=>100010=>34
[3,1,2,4,6,7,5]=>100010=>34
[3,1,2,4,7,5,6]=>100010=>34
[3,1,2,4,7,6,5]=>100011=>35
[3,1,2,5,4,6,7]=>100100=>36
[3,1,2,5,4,7,6]=>100101=>37
[3,1,2,5,6,4,7]=>100100=>36
[3,1,2,5,6,7,4]=>100100=>36
[3,1,2,5,7,4,6]=>100100=>36
[3,1,2,5,7,6,4]=>100101=>37
[3,1,2,6,4,5,7]=>100100=>36
[3,1,2,6,4,7,5]=>100110=>38
[3,1,2,6,5,4,7]=>100110=>38
[3,1,2,6,5,7,4]=>100110=>38
[3,1,2,6,7,4,5]=>100100=>36
[3,1,2,6,7,5,4]=>100110=>38
[3,1,2,7,4,5,6]=>100100=>36
[3,1,2,7,4,6,5]=>100110=>38
[3,1,2,7,5,4,6]=>100110=>38
[3,1,2,7,5,6,4]=>100110=>38
[3,1,2,7,6,4,5]=>100101=>37
[3,1,2,7,6,5,4]=>100111=>39
[3,1,4,2,5,6,7]=>110000=>48
[3,1,4,2,5,7,6]=>110001=>49
[3,1,4,2,6,5,7]=>110010=>50
[3,1,4,2,6,7,5]=>110010=>50
[3,1,4,2,7,5,6]=>110010=>50
[3,1,4,2,7,6,5]=>110011=>51
[3,1,4,5,2,6,7]=>110000=>48
[3,1,4,5,2,7,6]=>110001=>49
[3,1,4,5,6,2,7]=>110000=>48
[3,1,4,5,6,7,2]=>110000=>48
[3,1,4,5,7,2,6]=>110000=>48
[3,1,4,5,7,6,2]=>110001=>49
[3,1,4,6,2,5,7]=>110000=>48
[3,1,4,6,2,7,5]=>110010=>50
[3,1,4,6,5,2,7]=>110010=>50
[3,1,4,6,5,7,2]=>110010=>50
[3,1,4,6,7,2,5]=>110000=>48
[3,1,4,6,7,5,2]=>110010=>50
[3,1,4,7,2,5,6]=>110000=>48
[3,1,4,7,2,6,5]=>110010=>50
[3,1,4,7,5,2,6]=>110010=>50
[3,1,4,7,5,6,2]=>110010=>50
[3,1,4,7,6,2,5]=>110001=>49
[3,1,4,7,6,5,2]=>110011=>51
[3,1,5,2,4,6,7]=>110000=>48
[3,1,5,2,4,7,6]=>110001=>49
[3,1,5,2,6,4,7]=>110100=>52
[3,1,5,2,6,7,4]=>110100=>52
[3,1,5,2,7,4,6]=>110100=>52
[3,1,5,2,7,6,4]=>110101=>53
[3,1,5,4,2,6,7]=>110100=>52
[3,1,5,4,2,7,6]=>110101=>53
[3,1,5,4,6,2,7]=>110100=>52
[3,1,5,4,6,7,2]=>110100=>52
[3,1,5,4,7,2,6]=>110100=>52
[3,1,5,4,7,6,2]=>110101=>53
[3,1,5,6,2,4,7]=>110000=>48
[3,1,5,6,2,7,4]=>110100=>52
[3,1,5,6,4,2,7]=>110100=>52
[3,1,5,6,4,7,2]=>110100=>52
[3,1,5,6,7,2,4]=>110000=>48
[3,1,5,6,7,4,2]=>110100=>52
[3,1,5,7,2,4,6]=>110000=>48
[3,1,5,7,2,6,4]=>110100=>52
[3,1,5,7,4,2,6]=>110100=>52
[3,1,5,7,4,6,2]=>110100=>52
[3,1,5,7,6,2,4]=>110001=>49
[3,1,5,7,6,4,2]=>110101=>53
[3,1,6,2,4,5,7]=>110000=>48
[3,1,6,2,4,7,5]=>110010=>50
[3,1,6,2,5,4,7]=>110100=>52
[3,1,6,2,5,7,4]=>110100=>52
[3,1,6,2,7,4,5]=>110100=>52
[3,1,6,2,7,5,4]=>110110=>54
[3,1,6,4,2,5,7]=>110100=>52
[3,1,6,4,2,7,5]=>110110=>54
[3,1,6,4,5,2,7]=>110100=>52
[3,1,6,4,5,7,2]=>110100=>52
[3,1,6,4,7,2,5]=>110100=>52
[3,1,6,4,7,5,2]=>110110=>54
[3,1,6,5,2,4,7]=>110010=>50
[3,1,6,5,2,7,4]=>110110=>54
[3,1,6,5,4,2,7]=>110110=>54
[3,1,6,5,4,7,2]=>110110=>54
[3,1,6,5,7,2,4]=>110010=>50
[3,1,6,5,7,4,2]=>110110=>54
[3,1,6,7,2,4,5]=>110000=>48
[3,1,6,7,2,5,4]=>110100=>52
[3,1,6,7,4,2,5]=>110100=>52
[3,1,6,7,4,5,2]=>110100=>52
[3,1,6,7,5,2,4]=>110010=>50
[3,1,6,7,5,4,2]=>110110=>54
[3,1,7,2,4,5,6]=>110000=>48
[3,1,7,2,4,6,5]=>110010=>50
[3,1,7,2,5,4,6]=>110100=>52
[3,1,7,2,5,6,4]=>110100=>52
[3,1,7,2,6,4,5]=>110100=>52
[3,1,7,2,6,5,4]=>110110=>54
[3,1,7,4,2,5,6]=>110100=>52
[3,1,7,4,2,6,5]=>110110=>54
[3,1,7,4,5,2,6]=>110100=>52
[3,1,7,4,5,6,2]=>110100=>52
[3,1,7,4,6,2,5]=>110100=>52
[3,1,7,4,6,5,2]=>110110=>54
[3,1,7,5,2,4,6]=>110010=>50
[3,1,7,5,2,6,4]=>110110=>54
[3,1,7,5,4,2,6]=>110110=>54
[3,1,7,5,4,6,2]=>110110=>54
[3,1,7,5,6,2,4]=>110010=>50
[3,1,7,5,6,4,2]=>110110=>54
[3,1,7,6,2,4,5]=>110001=>49
[3,1,7,6,2,5,4]=>110101=>53
[3,1,7,6,4,2,5]=>110101=>53
[3,1,7,6,4,5,2]=>110101=>53
[3,1,7,6,5,2,4]=>110011=>51
[3,1,7,6,5,4,2]=>110111=>55
[3,2,1,4,5,6,7]=>110000=>48
[3,2,1,4,5,7,6]=>110001=>49
[3,2,1,4,6,5,7]=>110010=>50
[3,2,1,4,6,7,5]=>110010=>50
[3,2,1,4,7,5,6]=>110010=>50
[3,2,1,4,7,6,5]=>110011=>51
[3,2,1,5,4,6,7]=>110100=>52
[3,2,1,5,4,7,6]=>110101=>53
[3,2,1,5,6,4,7]=>110100=>52
[3,2,1,5,6,7,4]=>110100=>52
[3,2,1,5,7,4,6]=>110100=>52
[3,2,1,5,7,6,4]=>110101=>53
[3,2,1,6,4,5,7]=>110100=>52
[3,2,1,6,4,7,5]=>110110=>54
[3,2,1,6,5,4,7]=>110110=>54
[3,2,1,6,5,7,4]=>110110=>54
[3,2,1,6,7,4,5]=>110100=>52
[3,2,1,6,7,5,4]=>110110=>54
[3,2,1,7,4,5,6]=>110100=>52
[3,2,1,7,4,6,5]=>110110=>54
[3,2,1,7,5,4,6]=>110110=>54
[3,2,1,7,5,6,4]=>110110=>54
[3,2,1,7,6,4,5]=>110101=>53
[3,2,1,7,6,5,4]=>110111=>55
[3,2,4,1,5,6,7]=>110000=>48
[3,2,4,1,5,7,6]=>110001=>49
[3,2,4,1,6,5,7]=>110010=>50
[3,2,4,1,6,7,5]=>110010=>50
[3,2,4,1,7,5,6]=>110010=>50
[3,2,4,1,7,6,5]=>110011=>51
[3,2,4,5,1,6,7]=>110000=>48
[3,2,4,5,1,7,6]=>110001=>49
[3,2,4,5,6,1,7]=>110000=>48
[3,2,4,5,6,7,1]=>110000=>48
[3,2,4,5,7,1,6]=>110000=>48
[3,2,4,5,7,6,1]=>110001=>49
[3,2,4,6,1,5,7]=>110000=>48
[3,2,4,6,1,7,5]=>110010=>50
[3,2,4,6,5,1,7]=>110010=>50
[3,2,4,6,5,7,1]=>110010=>50
[3,2,4,6,7,1,5]=>110000=>48
[3,2,4,6,7,5,1]=>110010=>50
[3,2,4,7,1,5,6]=>110000=>48
[3,2,4,7,1,6,5]=>110010=>50
[3,2,4,7,5,1,6]=>110010=>50
[3,2,4,7,5,6,1]=>110010=>50
[3,2,4,7,6,1,5]=>110001=>49
[3,2,4,7,6,5,1]=>110011=>51
[3,2,5,1,4,6,7]=>110000=>48
[3,2,5,1,4,7,6]=>110001=>49
[3,2,5,1,6,4,7]=>110100=>52
[3,2,5,1,6,7,4]=>110100=>52
[3,2,5,1,7,4,6]=>110100=>52
[3,2,5,1,7,6,4]=>110101=>53
[3,2,5,4,1,6,7]=>110100=>52
[3,2,5,4,1,7,6]=>110101=>53
[3,2,5,4,6,1,7]=>110100=>52
[3,2,5,4,6,7,1]=>110100=>52
[3,2,5,4,7,1,6]=>110100=>52
[3,2,5,4,7,6,1]=>110101=>53
[3,2,5,6,1,4,7]=>110000=>48
[3,2,5,6,1,7,4]=>110100=>52
[3,2,5,6,4,1,7]=>110100=>52
[3,2,5,6,4,7,1]=>110100=>52
[3,2,5,6,7,1,4]=>110000=>48
[3,2,5,6,7,4,1]=>110100=>52
[3,2,5,7,1,4,6]=>110000=>48
[3,2,5,7,1,6,4]=>110100=>52
[3,2,5,7,4,1,6]=>110100=>52
[3,2,5,7,4,6,1]=>110100=>52
[3,2,5,7,6,1,4]=>110001=>49
[3,2,5,7,6,4,1]=>110101=>53
[3,2,6,1,4,5,7]=>110000=>48
[3,2,6,1,4,7,5]=>110010=>50
[3,2,6,1,5,4,7]=>110100=>52
[3,2,6,1,5,7,4]=>110100=>52
[3,2,6,1,7,4,5]=>110100=>52
[3,2,6,1,7,5,4]=>110110=>54
[3,2,6,4,1,5,7]=>110100=>52
[3,2,6,4,1,7,5]=>110110=>54
[3,2,6,4,5,1,7]=>110100=>52
[3,2,6,4,5,7,1]=>110100=>52
[3,2,6,4,7,1,5]=>110100=>52
[3,2,6,4,7,5,1]=>110110=>54
[3,2,6,5,1,4,7]=>110010=>50
[3,2,6,5,1,7,4]=>110110=>54
[3,2,6,5,4,1,7]=>110110=>54
[3,2,6,5,4,7,1]=>110110=>54
[3,2,6,5,7,1,4]=>110010=>50
[3,2,6,5,7,4,1]=>110110=>54
[3,2,6,7,1,4,5]=>110000=>48
[3,2,6,7,1,5,4]=>110100=>52
[3,2,6,7,4,1,5]=>110100=>52
[3,2,6,7,4,5,1]=>110100=>52
[3,2,6,7,5,1,4]=>110010=>50
[3,2,6,7,5,4,1]=>110110=>54
[3,2,7,1,4,5,6]=>110000=>48
[3,2,7,1,4,6,5]=>110010=>50
[3,2,7,1,5,4,6]=>110100=>52
[3,2,7,1,5,6,4]=>110100=>52
[3,2,7,1,6,4,5]=>110100=>52
[3,2,7,1,6,5,4]=>110110=>54
[3,2,7,4,1,5,6]=>110100=>52
[3,2,7,4,1,6,5]=>110110=>54
[3,2,7,4,5,1,6]=>110100=>52
[3,2,7,4,5,6,1]=>110100=>52
[3,2,7,4,6,1,5]=>110100=>52
[3,2,7,4,6,5,1]=>110110=>54
[3,2,7,5,1,4,6]=>110010=>50
[3,2,7,5,1,6,4]=>110110=>54
[3,2,7,5,4,1,6]=>110110=>54
[3,2,7,5,4,6,1]=>110110=>54
[3,2,7,5,6,1,4]=>110010=>50
[3,2,7,5,6,4,1]=>110110=>54
[3,2,7,6,1,4,5]=>110001=>49
[3,2,7,6,1,5,4]=>110101=>53
[3,2,7,6,4,1,5]=>110101=>53
[3,2,7,6,4,5,1]=>110101=>53
[3,2,7,6,5,1,4]=>110011=>51
[3,2,7,6,5,4,1]=>110111=>55
[3,4,1,2,5,6,7]=>100000=>32
[3,4,1,2,5,7,6]=>100001=>33
[3,4,1,2,6,5,7]=>100010=>34
[3,4,1,2,6,7,5]=>100010=>34
[3,4,1,2,7,5,6]=>100010=>34
[3,4,1,2,7,6,5]=>100011=>35
[3,4,1,5,2,6,7]=>110000=>48
[3,4,1,5,2,7,6]=>110001=>49
[3,4,1,5,6,2,7]=>110000=>48
[3,4,1,5,6,7,2]=>110000=>48
[3,4,1,5,7,2,6]=>110000=>48
[3,4,1,5,7,6,2]=>110001=>49
[3,4,1,6,2,5,7]=>110000=>48
[3,4,1,6,2,7,5]=>110010=>50
[3,4,1,6,5,2,7]=>110010=>50
[3,4,1,6,5,7,2]=>110010=>50
[3,4,1,6,7,2,5]=>110000=>48
[3,4,1,6,7,5,2]=>110010=>50
[3,4,1,7,2,5,6]=>110000=>48
[3,4,1,7,2,6,5]=>110010=>50
[3,4,1,7,5,2,6]=>110010=>50
[3,4,1,7,5,6,2]=>110010=>50
[3,4,1,7,6,2,5]=>110001=>49
[3,4,1,7,6,5,2]=>110011=>51
[3,4,2,1,5,6,7]=>110000=>48
[3,4,2,1,5,7,6]=>110001=>49
[3,4,2,1,6,5,7]=>110010=>50
[3,4,2,1,6,7,5]=>110010=>50
[3,4,2,1,7,5,6]=>110010=>50
[3,4,2,1,7,6,5]=>110011=>51
[3,4,2,5,1,6,7]=>110000=>48
[3,4,2,5,1,7,6]=>110001=>49
[3,4,2,5,6,1,7]=>110000=>48
[3,4,2,5,6,7,1]=>110000=>48
[3,4,2,5,7,1,6]=>110000=>48
[3,4,2,5,7,6,1]=>110001=>49
[3,4,2,6,1,5,7]=>110000=>48
[3,4,2,6,1,7,5]=>110010=>50
[3,4,2,6,5,1,7]=>110010=>50
[3,4,2,6,5,7,1]=>110010=>50
[3,4,2,6,7,1,5]=>110000=>48
[3,4,2,6,7,5,1]=>110010=>50
[3,4,2,7,1,5,6]=>110000=>48
[3,4,2,7,1,6,5]=>110010=>50
[3,4,2,7,5,1,6]=>110010=>50
[3,4,2,7,5,6,1]=>110010=>50
[3,4,2,7,6,1,5]=>110001=>49
[3,4,2,7,6,5,1]=>110011=>51
[3,4,5,1,2,6,7]=>100000=>32
[3,4,5,1,2,7,6]=>100001=>33
[3,4,5,1,6,2,7]=>110000=>48
[3,4,5,1,6,7,2]=>110000=>48
[3,4,5,1,7,2,6]=>110000=>48
[3,4,5,1,7,6,2]=>110001=>49
[3,4,5,2,1,6,7]=>110000=>48
[3,4,5,2,1,7,6]=>110001=>49
[3,4,5,2,6,1,7]=>110000=>48
[3,4,5,2,6,7,1]=>110000=>48
[3,4,5,2,7,1,6]=>110000=>48
[3,4,5,2,7,6,1]=>110001=>49
[3,4,5,6,1,2,7]=>100000=>32
[3,4,5,6,1,7,2]=>110000=>48
[3,4,5,6,2,1,7]=>110000=>48
[3,4,5,6,2,7,1]=>110000=>48
[3,4,5,6,7,1,2]=>100000=>32
[3,4,5,6,7,2,1]=>110000=>48
[3,4,5,7,1,2,6]=>100000=>32
[3,4,5,7,1,6,2]=>110000=>48
[3,4,5,7,2,1,6]=>110000=>48
[3,4,5,7,2,6,1]=>110000=>48
[3,4,5,7,6,1,2]=>100001=>33
[3,4,5,7,6,2,1]=>110001=>49
[3,4,6,1,2,5,7]=>100000=>32
[3,4,6,1,2,7,5]=>100010=>34
[3,4,6,1,5,2,7]=>110000=>48
[3,4,6,1,5,7,2]=>110000=>48
[3,4,6,1,7,2,5]=>110000=>48
[3,4,6,1,7,5,2]=>110010=>50
[3,4,6,2,1,5,7]=>110000=>48
[3,4,6,2,1,7,5]=>110010=>50
[3,4,6,2,5,1,7]=>110000=>48
[3,4,6,2,5,7,1]=>110000=>48
[3,4,6,2,7,1,5]=>110000=>48
[3,4,6,2,7,5,1]=>110010=>50
[3,4,6,5,1,2,7]=>100010=>34
[3,4,6,5,1,7,2]=>110010=>50
[3,4,6,5,2,1,7]=>110010=>50
[3,4,6,5,2,7,1]=>110010=>50
[3,4,6,5,7,1,2]=>100010=>34
[3,4,6,5,7,2,1]=>110010=>50
[3,4,6,7,1,2,5]=>100000=>32
[3,4,6,7,1,5,2]=>110000=>48
[3,4,6,7,2,1,5]=>110000=>48
[3,4,6,7,2,5,1]=>110000=>48
[3,4,6,7,5,1,2]=>100010=>34
[3,4,6,7,5,2,1]=>110010=>50
[3,4,7,1,2,5,6]=>100000=>32
[3,4,7,1,2,6,5]=>100010=>34
[3,4,7,1,5,2,6]=>110000=>48
[3,4,7,1,5,6,2]=>110000=>48
[3,4,7,1,6,2,5]=>110000=>48
[3,4,7,1,6,5,2]=>110010=>50
[3,4,7,2,1,5,6]=>110000=>48
[3,4,7,2,1,6,5]=>110010=>50
[3,4,7,2,5,1,6]=>110000=>48
[3,4,7,2,5,6,1]=>110000=>48
[3,4,7,2,6,1,5]=>110000=>48
[3,4,7,2,6,5,1]=>110010=>50
[3,4,7,5,1,2,6]=>100010=>34
[3,4,7,5,1,6,2]=>110010=>50
[3,4,7,5,2,1,6]=>110010=>50
[3,4,7,5,2,6,1]=>110010=>50
[3,4,7,5,6,1,2]=>100010=>34
[3,4,7,5,6,2,1]=>110010=>50
[3,4,7,6,1,2,5]=>100001=>33
[3,4,7,6,1,5,2]=>110001=>49
[3,4,7,6,2,1,5]=>110001=>49
[3,4,7,6,2,5,1]=>110001=>49
[3,4,7,6,5,1,2]=>100011=>35
[3,4,7,6,5,2,1]=>110011=>51
[3,5,1,2,4,6,7]=>100000=>32
[3,5,1,2,4,7,6]=>100001=>33
[3,5,1,2,6,4,7]=>100100=>36
[3,5,1,2,6,7,4]=>100100=>36
[3,5,1,2,7,4,6]=>100100=>36
[3,5,1,2,7,6,4]=>100101=>37
[3,5,1,4,2,6,7]=>110000=>48
[3,5,1,4,2,7,6]=>110001=>49
[3,5,1,4,6,2,7]=>110000=>48
[3,5,1,4,6,7,2]=>110000=>48
[3,5,1,4,7,2,6]=>110000=>48
[3,5,1,4,7,6,2]=>110001=>49
[3,5,1,6,2,4,7]=>110000=>48
[3,5,1,6,2,7,4]=>110100=>52
[3,5,1,6,4,2,7]=>110100=>52
[3,5,1,6,4,7,2]=>110100=>52
[3,5,1,6,7,2,4]=>110000=>48
[3,5,1,6,7,4,2]=>110100=>52
[3,5,1,7,2,4,6]=>110000=>48
[3,5,1,7,2,6,4]=>110100=>52
[3,5,1,7,4,2,6]=>110100=>52
[3,5,1,7,4,6,2]=>110100=>52
[3,5,1,7,6,2,4]=>110001=>49
[3,5,1,7,6,4,2]=>110101=>53
[3,5,2,1,4,6,7]=>110000=>48
[3,5,2,1,4,7,6]=>110001=>49
[3,5,2,1,6,4,7]=>110100=>52
[3,5,2,1,6,7,4]=>110100=>52
[3,5,2,1,7,4,6]=>110100=>52
[3,5,2,1,7,6,4]=>110101=>53
[3,5,2,4,1,6,7]=>110000=>48
[3,5,2,4,1,7,6]=>110001=>49
[3,5,2,4,6,1,7]=>110000=>48
[3,5,2,4,6,7,1]=>110000=>48
[3,5,2,4,7,1,6]=>110000=>48
[3,5,2,4,7,6,1]=>110001=>49
[3,5,2,6,1,4,7]=>110000=>48
[3,5,2,6,1,7,4]=>110100=>52
[3,5,2,6,4,1,7]=>110100=>52
[3,5,2,6,4,7,1]=>110100=>52
[3,5,2,6,7,1,4]=>110000=>48
[3,5,2,6,7,4,1]=>110100=>52
[3,5,2,7,1,4,6]=>110000=>48
[3,5,2,7,1,6,4]=>110100=>52
[3,5,2,7,4,1,6]=>110100=>52
[3,5,2,7,4,6,1]=>110100=>52
[3,5,2,7,6,1,4]=>110001=>49
[3,5,2,7,6,4,1]=>110101=>53
[3,5,4,1,2,6,7]=>100100=>36
[3,5,4,1,2,7,6]=>100101=>37
[3,5,4,1,6,2,7]=>110100=>52
[3,5,4,1,6,7,2]=>110100=>52
[3,5,4,1,7,2,6]=>110100=>52
[3,5,4,1,7,6,2]=>110101=>53
[3,5,4,2,1,6,7]=>110100=>52
[3,5,4,2,1,7,6]=>110101=>53
[3,5,4,2,6,1,7]=>110100=>52
[3,5,4,2,6,7,1]=>110100=>52
[3,5,4,2,7,1,6]=>110100=>52
[3,5,4,2,7,6,1]=>110101=>53
[3,5,4,6,1,2,7]=>100100=>36
[3,5,4,6,1,7,2]=>110100=>52
[3,5,4,6,2,1,7]=>110100=>52
[3,5,4,6,2,7,1]=>110100=>52
[3,5,4,6,7,1,2]=>100100=>36
[3,5,4,6,7,2,1]=>110100=>52
[3,5,4,7,1,2,6]=>100100=>36
[3,5,4,7,1,6,2]=>110100=>52
[3,5,4,7,2,1,6]=>110100=>52
[3,5,4,7,2,6,1]=>110100=>52
[3,5,4,7,6,1,2]=>100101=>37
[3,5,4,7,6,2,1]=>110101=>53
[3,5,6,1,2,4,7]=>100000=>32
[3,5,6,1,2,7,4]=>100100=>36
[3,5,6,1,4,2,7]=>110000=>48
[3,5,6,1,4,7,2]=>110000=>48
[3,5,6,1,7,2,4]=>110000=>48
[3,5,6,1,7,4,2]=>110100=>52
[3,5,6,2,1,4,7]=>110000=>48
[3,5,6,2,1,7,4]=>110100=>52
[3,5,6,2,4,1,7]=>110000=>48
[3,5,6,2,4,7,1]=>110000=>48
[3,5,6,2,7,1,4]=>110000=>48
[3,5,6,2,7,4,1]=>110100=>52
[3,5,6,4,1,2,7]=>100100=>36
[3,5,6,4,1,7,2]=>110100=>52
[3,5,6,4,2,1,7]=>110100=>52
[3,5,6,4,2,7,1]=>110100=>52
[3,5,6,4,7,1,2]=>100100=>36
[3,5,6,4,7,2,1]=>110100=>52
[3,5,6,7,1,2,4]=>100000=>32
[3,5,6,7,1,4,2]=>110000=>48
[3,5,6,7,2,1,4]=>110000=>48
[3,5,6,7,2,4,1]=>110000=>48
[3,5,6,7,4,1,2]=>100100=>36
[3,5,6,7,4,2,1]=>110100=>52
[3,5,7,1,2,4,6]=>100000=>32
[3,5,7,1,2,6,4]=>100100=>36
[3,5,7,1,4,2,6]=>110000=>48
[3,5,7,1,4,6,2]=>110000=>48
[3,5,7,1,6,2,4]=>110000=>48
[3,5,7,1,6,4,2]=>110100=>52
[3,5,7,2,1,4,6]=>110000=>48
[3,5,7,2,1,6,4]=>110100=>52
[3,5,7,2,4,1,6]=>110000=>48
[3,5,7,2,4,6,1]=>110000=>48
[3,5,7,2,6,1,4]=>110000=>48
[3,5,7,2,6,4,1]=>110100=>52
[3,5,7,4,1,2,6]=>100100=>36
[3,5,7,4,1,6,2]=>110100=>52
[3,5,7,4,2,1,6]=>110100=>52
[3,5,7,4,2,6,1]=>110100=>52
[3,5,7,4,6,1,2]=>100100=>36
[3,5,7,4,6,2,1]=>110100=>52
[3,5,7,6,1,2,4]=>100001=>33
[3,5,7,6,1,4,2]=>110001=>49
[3,5,7,6,2,1,4]=>110001=>49
[3,5,7,6,2,4,1]=>110001=>49
[3,5,7,6,4,1,2]=>100101=>37
[3,5,7,6,4,2,1]=>110101=>53
[3,6,1,2,4,5,7]=>100000=>32
[3,6,1,2,4,7,5]=>100010=>34
[3,6,1,2,5,4,7]=>100100=>36
[3,6,1,2,5,7,4]=>100100=>36
[3,6,1,2,7,4,5]=>100100=>36
[3,6,1,2,7,5,4]=>100110=>38
[3,6,1,4,2,5,7]=>110000=>48
[3,6,1,4,2,7,5]=>110010=>50
[3,6,1,4,5,2,7]=>110000=>48
[3,6,1,4,5,7,2]=>110000=>48
[3,6,1,4,7,2,5]=>110000=>48
[3,6,1,4,7,5,2]=>110010=>50
[3,6,1,5,2,4,7]=>110000=>48
[3,6,1,5,2,7,4]=>110100=>52
[3,6,1,5,4,2,7]=>110100=>52
[3,6,1,5,4,7,2]=>110100=>52
[3,6,1,5,7,2,4]=>110000=>48
[3,6,1,5,7,4,2]=>110100=>52
[3,6,1,7,2,4,5]=>110000=>48
[3,6,1,7,2,5,4]=>110100=>52
[3,6,1,7,4,2,5]=>110100=>52
[3,6,1,7,4,5,2]=>110100=>52
[3,6,1,7,5,2,4]=>110010=>50
[3,6,1,7,5,4,2]=>110110=>54
[3,6,2,1,4,5,7]=>110000=>48
[3,6,2,1,4,7,5]=>110010=>50
[3,6,2,1,5,4,7]=>110100=>52
[3,6,2,1,5,7,4]=>110100=>52
[3,6,2,1,7,4,5]=>110100=>52
[3,6,2,1,7,5,4]=>110110=>54
[3,6,2,4,1,5,7]=>110000=>48
[3,6,2,4,1,7,5]=>110010=>50
[3,6,2,4,5,1,7]=>110000=>48
[3,6,2,4,5,7,1]=>110000=>48
[3,6,2,4,7,1,5]=>110000=>48
[3,6,2,4,7,5,1]=>110010=>50
[3,6,2,5,1,4,7]=>110000=>48
[3,6,2,5,1,7,4]=>110100=>52
[3,6,2,5,4,1,7]=>110100=>52
[3,6,2,5,4,7,1]=>110100=>52
[3,6,2,5,7,1,4]=>110000=>48
[3,6,2,5,7,4,1]=>110100=>52
[3,6,2,7,1,4,5]=>110000=>48
[3,6,2,7,1,5,4]=>110100=>52
[3,6,2,7,4,1,5]=>110100=>52
[3,6,2,7,4,5,1]=>110100=>52
[3,6,2,7,5,1,4]=>110010=>50
[3,6,2,7,5,4,1]=>110110=>54
[3,6,4,1,2,5,7]=>100100=>36
[3,6,4,1,2,7,5]=>100110=>38
[3,6,4,1,5,2,7]=>110100=>52
[3,6,4,1,5,7,2]=>110100=>52
[3,6,4,1,7,2,5]=>110100=>52
[3,6,4,1,7,5,2]=>110110=>54
[3,6,4,2,1,5,7]=>110100=>52
[3,6,4,2,1,7,5]=>110110=>54
[3,6,4,2,5,1,7]=>110100=>52
[3,6,4,2,5,7,1]=>110100=>52
[3,6,4,2,7,1,5]=>110100=>52
[3,6,4,2,7,5,1]=>110110=>54
[3,6,4,5,1,2,7]=>100100=>36
[3,6,4,5,1,7,2]=>110100=>52
[3,6,4,5,2,1,7]=>110100=>52
[3,6,4,5,2,7,1]=>110100=>52
[3,6,4,5,7,1,2]=>100100=>36
[3,6,4,5,7,2,1]=>110100=>52
[3,6,4,7,1,2,5]=>100100=>36
[3,6,4,7,1,5,2]=>110100=>52
[3,6,4,7,2,1,5]=>110100=>52
[3,6,4,7,2,5,1]=>110100=>52
[3,6,4,7,5,1,2]=>100110=>38
[3,6,4,7,5,2,1]=>110110=>54
[3,6,5,1,2,4,7]=>100010=>34
[3,6,5,1,2,7,4]=>100110=>38
[3,6,5,1,4,2,7]=>110010=>50
[3,6,5,1,4,7,2]=>110010=>50
[3,6,5,1,7,2,4]=>110010=>50
[3,6,5,1,7,4,2]=>110110=>54
[3,6,5,2,1,4,7]=>110010=>50
[3,6,5,2,1,7,4]=>110110=>54
[3,6,5,2,4,1,7]=>110010=>50
[3,6,5,2,4,7,1]=>110010=>50
[3,6,5,2,7,1,4]=>110010=>50
[3,6,5,2,7,4,1]=>110110=>54
[3,6,5,4,1,2,7]=>100110=>38
[3,6,5,4,1,7,2]=>110110=>54
[3,6,5,4,2,1,7]=>110110=>54
[3,6,5,4,2,7,1]=>110110=>54
[3,6,5,4,7,1,2]=>100110=>38
[3,6,5,4,7,2,1]=>110110=>54
[3,6,5,7,1,2,4]=>100010=>34
[3,6,5,7,1,4,2]=>110010=>50
[3,6,5,7,2,1,4]=>110010=>50
[3,6,5,7,2,4,1]=>110010=>50
[3,6,5,7,4,1,2]=>100110=>38
[3,6,5,7,4,2,1]=>110110=>54
[3,6,7,1,2,4,5]=>100000=>32
[3,6,7,1,2,5,4]=>100100=>36
[3,6,7,1,4,2,5]=>110000=>48
[3,6,7,1,4,5,2]=>110000=>48
[3,6,7,1,5,2,4]=>110000=>48
[3,6,7,1,5,4,2]=>110100=>52
[3,6,7,2,1,4,5]=>110000=>48
[3,6,7,2,1,5,4]=>110100=>52
[3,6,7,2,4,1,5]=>110000=>48
[3,6,7,2,4,5,1]=>110000=>48
[3,6,7,2,5,1,4]=>110000=>48
[3,6,7,2,5,4,1]=>110100=>52
[3,6,7,4,1,2,5]=>100100=>36
[3,6,7,4,1,5,2]=>110100=>52
[3,6,7,4,2,1,5]=>110100=>52
[3,6,7,4,2,5,1]=>110100=>52
[3,6,7,4,5,1,2]=>100100=>36
[3,6,7,4,5,2,1]=>110100=>52
[3,6,7,5,1,2,4]=>100010=>34
[3,6,7,5,1,4,2]=>110010=>50
[3,6,7,5,2,1,4]=>110010=>50
[3,6,7,5,2,4,1]=>110010=>50
[3,6,7,5,4,1,2]=>100110=>38
[3,6,7,5,4,2,1]=>110110=>54
[3,7,1,2,4,5,6]=>100000=>32
[3,7,1,2,4,6,5]=>100010=>34
[3,7,1,2,5,4,6]=>100100=>36
[3,7,1,2,5,6,4]=>100100=>36
[3,7,1,2,6,4,5]=>100100=>36
[3,7,1,2,6,5,4]=>100110=>38
[3,7,1,4,2,5,6]=>110000=>48
[3,7,1,4,2,6,5]=>110010=>50
[3,7,1,4,5,2,6]=>110000=>48
[3,7,1,4,5,6,2]=>110000=>48
[3,7,1,4,6,2,5]=>110000=>48
[3,7,1,4,6,5,2]=>110010=>50
[3,7,1,5,2,4,6]=>110000=>48
[3,7,1,5,2,6,4]=>110100=>52
[3,7,1,5,4,2,6]=>110100=>52
[3,7,1,5,4,6,2]=>110100=>52
[3,7,1,5,6,2,4]=>110000=>48
[3,7,1,5,6,4,2]=>110100=>52
[3,7,1,6,2,4,5]=>110000=>48
[3,7,1,6,2,5,4]=>110100=>52
[3,7,1,6,4,2,5]=>110100=>52
[3,7,1,6,4,5,2]=>110100=>52
[3,7,1,6,5,2,4]=>110010=>50
[3,7,1,6,5,4,2]=>110110=>54
[3,7,2,1,4,5,6]=>110000=>48
[3,7,2,1,4,6,5]=>110010=>50
[3,7,2,1,5,4,6]=>110100=>52
[3,7,2,1,5,6,4]=>110100=>52
[3,7,2,1,6,4,5]=>110100=>52
[3,7,2,1,6,5,4]=>110110=>54
[3,7,2,4,1,5,6]=>110000=>48
[3,7,2,4,1,6,5]=>110010=>50
[3,7,2,4,5,1,6]=>110000=>48
[3,7,2,4,5,6,1]=>110000=>48
[3,7,2,4,6,1,5]=>110000=>48
[3,7,2,4,6,5,1]=>110010=>50
[3,7,2,5,1,4,6]=>110000=>48
[3,7,2,5,1,6,4]=>110100=>52
[3,7,2,5,4,1,6]=>110100=>52
[3,7,2,5,4,6,1]=>110100=>52
[3,7,2,5,6,1,4]=>110000=>48
[3,7,2,5,6,4,1]=>110100=>52
[3,7,2,6,1,4,5]=>110000=>48
[3,7,2,6,1,5,4]=>110100=>52
[3,7,2,6,4,1,5]=>110100=>52
[3,7,2,6,4,5,1]=>110100=>52
[3,7,2,6,5,1,4]=>110010=>50
[3,7,2,6,5,4,1]=>110110=>54
[3,7,4,1,2,5,6]=>100100=>36
[3,7,4,1,2,6,5]=>100110=>38
[3,7,4,1,5,2,6]=>110100=>52
[3,7,4,1,5,6,2]=>110100=>52
[3,7,4,1,6,2,5]=>110100=>52
[3,7,4,1,6,5,2]=>110110=>54
[3,7,4,2,1,5,6]=>110100=>52
[3,7,4,2,1,6,5]=>110110=>54
[3,7,4,2,5,1,6]=>110100=>52
[3,7,4,2,5,6,1]=>110100=>52
[3,7,4,2,6,1,5]=>110100=>52
[3,7,4,2,6,5,1]=>110110=>54
[3,7,4,5,1,2,6]=>100100=>36
[3,7,4,5,1,6,2]=>110100=>52
[3,7,4,5,2,1,6]=>110100=>52
[3,7,4,5,2,6,1]=>110100=>52
[3,7,4,5,6,1,2]=>100100=>36
[3,7,4,5,6,2,1]=>110100=>52
[3,7,4,6,1,2,5]=>100100=>36
[3,7,4,6,1,5,2]=>110100=>52
[3,7,4,6,2,1,5]=>110100=>52
[3,7,4,6,2,5,1]=>110100=>52
[3,7,4,6,5,1,2]=>100110=>38
[3,7,4,6,5,2,1]=>110110=>54
[3,7,5,1,2,4,6]=>100010=>34
[3,7,5,1,2,6,4]=>100110=>38
[3,7,5,1,4,2,6]=>110010=>50
[3,7,5,1,4,6,2]=>110010=>50
[3,7,5,1,6,2,4]=>110010=>50
[3,7,5,1,6,4,2]=>110110=>54
[3,7,5,2,1,4,6]=>110010=>50
[3,7,5,2,1,6,4]=>110110=>54
[3,7,5,2,4,1,6]=>110010=>50
[3,7,5,2,4,6,1]=>110010=>50
[3,7,5,2,6,1,4]=>110010=>50
[3,7,5,2,6,4,1]=>110110=>54
[3,7,5,4,1,2,6]=>100110=>38
[3,7,5,4,1,6,2]=>110110=>54
[3,7,5,4,2,1,6]=>110110=>54
[3,7,5,4,2,6,1]=>110110=>54
[3,7,5,4,6,1,2]=>100110=>38
[3,7,5,4,6,2,1]=>110110=>54
[3,7,5,6,1,2,4]=>100010=>34
[3,7,5,6,1,4,2]=>110010=>50
[3,7,5,6,2,1,4]=>110010=>50
[3,7,5,6,2,4,1]=>110010=>50
[3,7,5,6,4,1,2]=>100110=>38
[3,7,5,6,4,2,1]=>110110=>54
[3,7,6,1,2,4,5]=>100001=>33
[3,7,6,1,2,5,4]=>100101=>37
[3,7,6,1,4,2,5]=>110001=>49
[3,7,6,1,4,5,2]=>110001=>49
[3,7,6,1,5,2,4]=>110001=>49
[3,7,6,1,5,4,2]=>110101=>53
[3,7,6,2,1,4,5]=>110001=>49
[3,7,6,2,1,5,4]=>110101=>53
[3,7,6,2,4,1,5]=>110001=>49
[3,7,6,2,4,5,1]=>110001=>49
[3,7,6,2,5,1,4]=>110001=>49
[3,7,6,2,5,4,1]=>110101=>53
[3,7,6,4,1,2,5]=>100101=>37
[3,7,6,4,1,5,2]=>110101=>53
[3,7,6,4,2,1,5]=>110101=>53
[3,7,6,4,2,5,1]=>110101=>53
[3,7,6,4,5,1,2]=>100101=>37
[3,7,6,4,5,2,1]=>110101=>53
[3,7,6,5,1,2,4]=>100011=>35
[3,7,6,5,1,4,2]=>110011=>51
[3,7,6,5,2,1,4]=>110011=>51
[3,7,6,5,2,4,1]=>110011=>51
[3,7,6,5,4,1,2]=>100111=>39
[3,7,6,5,4,2,1]=>110111=>55
[4,1,2,3,5,6,7]=>100000=>32
[4,1,2,3,5,7,6]=>100001=>33
[4,1,2,3,6,5,7]=>100010=>34
[4,1,2,3,6,7,5]=>100010=>34
[4,1,2,3,7,5,6]=>100010=>34
[4,1,2,3,7,6,5]=>100011=>35
[4,1,2,5,3,6,7]=>101000=>40
[4,1,2,5,3,7,6]=>101001=>41
[4,1,2,5,6,3,7]=>101000=>40
[4,1,2,5,6,7,3]=>101000=>40
[4,1,2,5,7,3,6]=>101000=>40
[4,1,2,5,7,6,3]=>101001=>41
[4,1,2,6,3,5,7]=>101000=>40
[4,1,2,6,3,7,5]=>101010=>42
[4,1,2,6,5,3,7]=>101010=>42
[4,1,2,6,5,7,3]=>101010=>42
[4,1,2,6,7,3,5]=>101000=>40
[4,1,2,6,7,5,3]=>101010=>42
[4,1,2,7,3,5,6]=>101000=>40
[4,1,2,7,3,6,5]=>101010=>42
[4,1,2,7,5,3,6]=>101010=>42
[4,1,2,7,5,6,3]=>101010=>42
[4,1,2,7,6,3,5]=>101001=>41
[4,1,2,7,6,5,3]=>101011=>43
[4,1,3,2,5,6,7]=>110000=>48
[4,1,3,2,5,7,6]=>110001=>49
[4,1,3,2,6,5,7]=>110010=>50
[4,1,3,2,6,7,5]=>110010=>50
[4,1,3,2,7,5,6]=>110010=>50
[4,1,3,2,7,6,5]=>110011=>51
[4,1,3,5,2,6,7]=>110000=>48
[4,1,3,5,2,7,6]=>110001=>49
[4,1,3,5,6,2,7]=>110000=>48
[4,1,3,5,6,7,2]=>110000=>48
[4,1,3,5,7,2,6]=>110000=>48
[4,1,3,5,7,6,2]=>110001=>49
[4,1,3,6,2,5,7]=>110000=>48
[4,1,3,6,2,7,5]=>110010=>50
[4,1,3,6,5,2,7]=>110010=>50
[4,1,3,6,5,7,2]=>110010=>50
[4,1,3,6,7,2,5]=>110000=>48
[4,1,3,6,7,5,2]=>110010=>50
[4,1,3,7,2,5,6]=>110000=>48
[4,1,3,7,2,6,5]=>110010=>50
[4,1,3,7,5,2,6]=>110010=>50
[4,1,3,7,5,6,2]=>110010=>50
[4,1,3,7,6,2,5]=>110001=>49
[4,1,3,7,6,5,2]=>110011=>51
[4,1,5,2,3,6,7]=>110000=>48
[4,1,5,2,3,7,6]=>110001=>49
[4,1,5,2,6,3,7]=>111000=>56
[4,1,5,2,6,7,3]=>111000=>56
[4,1,5,2,7,3,6]=>111000=>56
[4,1,5,2,7,6,3]=>111001=>57
[4,1,5,3,2,6,7]=>111000=>56
[4,1,5,3,2,7,6]=>111001=>57
[4,1,5,3,6,2,7]=>111000=>56
[4,1,5,3,6,7,2]=>111000=>56
[4,1,5,3,7,2,6]=>111000=>56
[4,1,5,3,7,6,2]=>111001=>57
[4,1,5,6,2,3,7]=>110000=>48
[4,1,5,6,2,7,3]=>111000=>56
[4,1,5,6,3,2,7]=>111000=>56
[4,1,5,6,3,7,2]=>111000=>56
[4,1,5,6,7,2,3]=>110000=>48
[4,1,5,6,7,3,2]=>111000=>56
[4,1,5,7,2,3,6]=>110000=>48
[4,1,5,7,2,6,3]=>111000=>56
[4,1,5,7,3,2,6]=>111000=>56
[4,1,5,7,3,6,2]=>111000=>56
[4,1,5,7,6,2,3]=>110001=>49
[4,1,5,7,6,3,2]=>111001=>57
[4,1,6,2,3,5,7]=>110000=>48
[4,1,6,2,3,7,5]=>110010=>50
[4,1,6,2,5,3,7]=>111000=>56
[4,1,6,2,5,7,3]=>111000=>56
[4,1,6,2,7,3,5]=>111000=>56
[4,1,6,2,7,5,3]=>111010=>58
[4,1,6,3,2,5,7]=>111000=>56
[4,1,6,3,2,7,5]=>111010=>58
[4,1,6,3,5,2,7]=>111000=>56
[4,1,6,3,5,7,2]=>111000=>56
[4,1,6,3,7,2,5]=>111000=>56
[4,1,6,3,7,5,2]=>111010=>58
[4,1,6,5,2,3,7]=>110010=>50
[4,1,6,5,2,7,3]=>111010=>58
[4,1,6,5,3,2,7]=>111010=>58
[4,1,6,5,3,7,2]=>111010=>58
[4,1,6,5,7,2,3]=>110010=>50
[4,1,6,5,7,3,2]=>111010=>58
[4,1,6,7,2,3,5]=>110000=>48
[4,1,6,7,2,5,3]=>111000=>56
[4,1,6,7,3,2,5]=>111000=>56
[4,1,6,7,3,5,2]=>111000=>56
[4,1,6,7,5,2,3]=>110010=>50
[4,1,6,7,5,3,2]=>111010=>58
[4,1,7,2,3,5,6]=>110000=>48
[4,1,7,2,3,6,5]=>110010=>50
[4,1,7,2,5,3,6]=>111000=>56
[4,1,7,2,5,6,3]=>111000=>56
[4,1,7,2,6,3,5]=>111000=>56
[4,1,7,2,6,5,3]=>111010=>58
[4,1,7,3,2,5,6]=>111000=>56
[4,1,7,3,2,6,5]=>111010=>58
[4,1,7,3,5,2,6]=>111000=>56
[4,1,7,3,5,6,2]=>111000=>56
[4,1,7,3,6,2,5]=>111000=>56
[4,1,7,3,6,5,2]=>111010=>58
[4,1,7,5,2,3,6]=>110010=>50
[4,1,7,5,2,6,3]=>111010=>58
[4,1,7,5,3,2,6]=>111010=>58
[4,1,7,5,3,6,2]=>111010=>58
[4,1,7,5,6,2,3]=>110010=>50
[4,1,7,5,6,3,2]=>111010=>58
[4,1,7,6,2,3,5]=>110001=>49
[4,1,7,6,2,5,3]=>111001=>57
[4,1,7,6,3,2,5]=>111001=>57
[4,1,7,6,3,5,2]=>111001=>57
[4,1,7,6,5,2,3]=>110011=>51
[4,1,7,6,5,3,2]=>111011=>59
[4,2,1,3,5,6,7]=>110000=>48
[4,2,1,3,5,7,6]=>110001=>49
[4,2,1,3,6,5,7]=>110010=>50
[4,2,1,3,6,7,5]=>110010=>50
[4,2,1,3,7,5,6]=>110010=>50
[4,2,1,3,7,6,5]=>110011=>51
[4,2,1,5,3,6,7]=>111000=>56
[4,2,1,5,3,7,6]=>111001=>57
[4,2,1,5,6,3,7]=>111000=>56
[4,2,1,5,6,7,3]=>111000=>56
[4,2,1,5,7,3,6]=>111000=>56
[4,2,1,5,7,6,3]=>111001=>57
[4,2,1,6,3,5,7]=>111000=>56
[4,2,1,6,3,7,5]=>111010=>58
[4,2,1,6,5,3,7]=>111010=>58
[4,2,1,6,5,7,3]=>111010=>58
[4,2,1,6,7,3,5]=>111000=>56
[4,2,1,6,7,5,3]=>111010=>58
[4,2,1,7,3,5,6]=>111000=>56
[4,2,1,7,3,6,5]=>111010=>58
[4,2,1,7,5,3,6]=>111010=>58
[4,2,1,7,5,6,3]=>111010=>58
[4,2,1,7,6,3,5]=>111001=>57
[4,2,1,7,6,5,3]=>111011=>59
[4,2,3,1,5,6,7]=>110000=>48
[4,2,3,1,5,7,6]=>110001=>49
[4,2,3,1,6,5,7]=>110010=>50
[4,2,3,1,6,7,5]=>110010=>50
[4,2,3,1,7,5,6]=>110010=>50
[4,2,3,1,7,6,5]=>110011=>51
[4,2,3,5,1,6,7]=>110000=>48
[4,2,3,5,1,7,6]=>110001=>49
[4,2,3,5,6,1,7]=>110000=>48
[4,2,3,5,6,7,1]=>110000=>48
[4,2,3,5,7,1,6]=>110000=>48
[4,2,3,5,7,6,1]=>110001=>49
[4,2,3,6,1,5,7]=>110000=>48
[4,2,3,6,1,7,5]=>110010=>50
[4,2,3,6,5,1,7]=>110010=>50
[4,2,3,6,5,7,1]=>110010=>50
[4,2,3,6,7,1,5]=>110000=>48
[4,2,3,6,7,5,1]=>110010=>50
[4,2,3,7,1,5,6]=>110000=>48
[4,2,3,7,1,6,5]=>110010=>50
[4,2,3,7,5,1,6]=>110010=>50
[4,2,3,7,5,6,1]=>110010=>50
[4,2,3,7,6,1,5]=>110001=>49
[4,2,3,7,6,5,1]=>110011=>51
[4,2,5,1,3,6,7]=>110000=>48
[4,2,5,1,3,7,6]=>110001=>49
[4,2,5,1,6,3,7]=>111000=>56
[4,2,5,1,6,7,3]=>111000=>56
[4,2,5,1,7,3,6]=>111000=>56
[4,2,5,1,7,6,3]=>111001=>57
[4,2,5,3,1,6,7]=>111000=>56
[4,2,5,3,1,7,6]=>111001=>57
[4,2,5,3,6,1,7]=>111000=>56
[4,2,5,3,6,7,1]=>111000=>56
[4,2,5,3,7,1,6]=>111000=>56
[4,2,5,3,7,6,1]=>111001=>57
[4,2,5,6,1,3,7]=>110000=>48
[4,2,5,6,1,7,3]=>111000=>56
[4,2,5,6,3,1,7]=>111000=>56
[4,2,5,6,3,7,1]=>111000=>56
[4,2,5,6,7,1,3]=>110000=>48
[4,2,5,6,7,3,1]=>111000=>56
[4,2,5,7,1,3,6]=>110000=>48
[4,2,5,7,1,6,3]=>111000=>56
[4,2,5,7,3,1,6]=>111000=>56
[4,2,5,7,3,6,1]=>111000=>56
[4,2,5,7,6,1,3]=>110001=>49
[4,2,5,7,6,3,1]=>111001=>57
[4,2,6,1,3,5,7]=>110000=>48
[4,2,6,1,3,7,5]=>110010=>50
[4,2,6,1,5,3,7]=>111000=>56
[4,2,6,1,5,7,3]=>111000=>56
[4,2,6,1,7,3,5]=>111000=>56
[4,2,6,1,7,5,3]=>111010=>58
[4,2,6,3,1,5,7]=>111000=>56
[4,2,6,3,1,7,5]=>111010=>58
[4,2,6,3,5,1,7]=>111000=>56
[4,2,6,3,5,7,1]=>111000=>56
[4,2,6,3,7,1,5]=>111000=>56
[4,2,6,3,7,5,1]=>111010=>58
[4,2,6,5,1,3,7]=>110010=>50
[4,2,6,5,1,7,3]=>111010=>58
[4,2,6,5,3,1,7]=>111010=>58
[4,2,6,5,3,7,1]=>111010=>58
[4,2,6,5,7,1,3]=>110010=>50
[4,2,6,5,7,3,1]=>111010=>58
[4,2,6,7,1,3,5]=>110000=>48
[4,2,6,7,1,5,3]=>111000=>56
[4,2,6,7,3,1,5]=>111000=>56
[4,2,6,7,3,5,1]=>111000=>56
[4,2,6,7,5,1,3]=>110010=>50
[4,2,6,7,5,3,1]=>111010=>58
[4,2,7,1,3,5,6]=>110000=>48
[4,2,7,1,3,6,5]=>110010=>50
[4,2,7,1,5,3,6]=>111000=>56
[4,2,7,1,5,6,3]=>111000=>56
[4,2,7,1,6,3,5]=>111000=>56
[4,2,7,1,6,5,3]=>111010=>58
[4,2,7,3,1,5,6]=>111000=>56
[4,2,7,3,1,6,5]=>111010=>58
[4,2,7,3,5,1,6]=>111000=>56
[4,2,7,3,5,6,1]=>111000=>56
[4,2,7,3,6,1,5]=>111000=>56
[4,2,7,3,6,5,1]=>111010=>58
[4,2,7,5,1,3,6]=>110010=>50
[4,2,7,5,1,6,3]=>111010=>58
[4,2,7,5,3,1,6]=>111010=>58
[4,2,7,5,3,6,1]=>111010=>58
[4,2,7,5,6,1,3]=>110010=>50
[4,2,7,5,6,3,1]=>111010=>58
[4,2,7,6,1,3,5]=>110001=>49
[4,2,7,6,1,5,3]=>111001=>57
[4,2,7,6,3,1,5]=>111001=>57
[4,2,7,6,3,5,1]=>111001=>57
[4,2,7,6,5,1,3]=>110011=>51
[4,2,7,6,5,3,1]=>111011=>59
[4,3,1,2,5,6,7]=>101000=>40
[4,3,1,2,5,7,6]=>101001=>41
[4,3,1,2,6,5,7]=>101010=>42
[4,3,1,2,6,7,5]=>101010=>42
[4,3,1,2,7,5,6]=>101010=>42
[4,3,1,2,7,6,5]=>101011=>43
[4,3,1,5,2,6,7]=>111000=>56
[4,3,1,5,2,7,6]=>111001=>57
[4,3,1,5,6,2,7]=>111000=>56
[4,3,1,5,6,7,2]=>111000=>56
[4,3,1,5,7,2,6]=>111000=>56
[4,3,1,5,7,6,2]=>111001=>57
[4,3,1,6,2,5,7]=>111000=>56
[4,3,1,6,2,7,5]=>111010=>58
[4,3,1,6,5,2,7]=>111010=>58
[4,3,1,6,5,7,2]=>111010=>58
[4,3,1,6,7,2,5]=>111000=>56
[4,3,1,6,7,5,2]=>111010=>58
[4,3,1,7,2,5,6]=>111000=>56
[4,3,1,7,2,6,5]=>111010=>58
[4,3,1,7,5,2,6]=>111010=>58
[4,3,1,7,5,6,2]=>111010=>58
[4,3,1,7,6,2,5]=>111001=>57
[4,3,1,7,6,5,2]=>111011=>59
[4,3,2,1,5,6,7]=>111000=>56
[4,3,2,1,5,7,6]=>111001=>57
[4,3,2,1,6,5,7]=>111010=>58
[4,3,2,1,6,7,5]=>111010=>58
[4,3,2,1,7,5,6]=>111010=>58
[4,3,2,1,7,6,5]=>111011=>59
[4,3,2,5,1,6,7]=>111000=>56
[4,3,2,5,1,7,6]=>111001=>57
[4,3,2,5,6,1,7]=>111000=>56
[4,3,2,5,6,7,1]=>111000=>56
[4,3,2,5,7,1,6]=>111000=>56
[4,3,2,5,7,6,1]=>111001=>57
[4,3,2,6,1,5,7]=>111000=>56
[4,3,2,6,1,7,5]=>111010=>58
[4,3,2,6,5,1,7]=>111010=>58
[4,3,2,6,5,7,1]=>111010=>58
[4,3,2,6,7,1,5]=>111000=>56
[4,3,2,6,7,5,1]=>111010=>58
[4,3,2,7,1,5,6]=>111000=>56
[4,3,2,7,1,6,5]=>111010=>58
[4,3,2,7,5,1,6]=>111010=>58
[4,3,2,7,5,6,1]=>111010=>58
[4,3,2,7,6,1,5]=>111001=>57
[4,3,2,7,6,5,1]=>111011=>59
[4,3,5,1,2,6,7]=>101000=>40
[4,3,5,1,2,7,6]=>101001=>41
[4,3,5,1,6,2,7]=>111000=>56
[4,3,5,1,6,7,2]=>111000=>56
[4,3,5,1,7,2,6]=>111000=>56
[4,3,5,1,7,6,2]=>111001=>57
[4,3,5,2,1,6,7]=>111000=>56
[4,3,5,2,1,7,6]=>111001=>57
[4,3,5,2,6,1,7]=>111000=>56
[4,3,5,2,6,7,1]=>111000=>56
[4,3,5,2,7,1,6]=>111000=>56
[4,3,5,2,7,6,1]=>111001=>57
[4,3,5,6,1,2,7]=>101000=>40
[4,3,5,6,1,7,2]=>111000=>56
[4,3,5,6,2,1,7]=>111000=>56
[4,3,5,6,2,7,1]=>111000=>56
[4,3,5,6,7,1,2]=>101000=>40
[4,3,5,6,7,2,1]=>111000=>56
[4,3,5,7,1,2,6]=>101000=>40
[4,3,5,7,1,6,2]=>111000=>56
[4,3,5,7,2,1,6]=>111000=>56
[4,3,5,7,2,6,1]=>111000=>56
[4,3,5,7,6,1,2]=>101001=>41
[4,3,5,7,6,2,1]=>111001=>57
[4,3,6,1,2,5,7]=>101000=>40
[4,3,6,1,2,7,5]=>101010=>42
[4,3,6,1,5,2,7]=>111000=>56
[4,3,6,1,5,7,2]=>111000=>56
[4,3,6,1,7,2,5]=>111000=>56
[4,3,6,1,7,5,2]=>111010=>58
[4,3,6,2,1,5,7]=>111000=>56
[4,3,6,2,1,7,5]=>111010=>58
[4,3,6,2,5,1,7]=>111000=>56
[4,3,6,2,5,7,1]=>111000=>56
[4,3,6,2,7,1,5]=>111000=>56
[4,3,6,2,7,5,1]=>111010=>58
[4,3,6,5,1,2,7]=>101010=>42
[4,3,6,5,1,7,2]=>111010=>58
[4,3,6,5,2,1,7]=>111010=>58
[4,3,6,5,2,7,1]=>111010=>58
[4,3,6,5,7,1,2]=>101010=>42
[4,3,6,5,7,2,1]=>111010=>58
[4,3,6,7,1,2,5]=>101000=>40
[4,3,6,7,1,5,2]=>111000=>56
[4,3,6,7,2,1,5]=>111000=>56
[4,3,6,7,2,5,1]=>111000=>56
[4,3,6,7,5,1,2]=>101010=>42
[4,3,6,7,5,2,1]=>111010=>58
[4,3,7,1,2,5,6]=>101000=>40
[4,3,7,1,2,6,5]=>101010=>42
[4,3,7,1,5,2,6]=>111000=>56
[4,3,7,1,5,6,2]=>111000=>56
[4,3,7,1,6,2,5]=>111000=>56
[4,3,7,1,6,5,2]=>111010=>58
[4,3,7,2,1,5,6]=>111000=>56
[4,3,7,2,1,6,5]=>111010=>58
[4,3,7,2,5,1,6]=>111000=>56
[4,3,7,2,5,6,1]=>111000=>56
[4,3,7,2,6,1,5]=>111000=>56
[4,3,7,2,6,5,1]=>111010=>58
[4,3,7,5,1,2,6]=>101010=>42
[4,3,7,5,1,6,2]=>111010=>58
[4,3,7,5,2,1,6]=>111010=>58
[4,3,7,5,2,6,1]=>111010=>58
[4,3,7,5,6,1,2]=>101010=>42
[4,3,7,5,6,2,1]=>111010=>58
[4,3,7,6,1,2,5]=>101001=>41
[4,3,7,6,1,5,2]=>111001=>57
[4,3,7,6,2,1,5]=>111001=>57
[4,3,7,6,2,5,1]=>111001=>57
[4,3,7,6,5,1,2]=>101011=>43
[4,3,7,6,5,2,1]=>111011=>59
[4,5,1,2,3,6,7]=>100000=>32
[4,5,1,2,3,7,6]=>100001=>33
[4,5,1,2,6,3,7]=>101000=>40
[4,5,1,2,6,7,3]=>101000=>40
[4,5,1,2,7,3,6]=>101000=>40
[4,5,1,2,7,6,3]=>101001=>41
[4,5,1,3,2,6,7]=>110000=>48
[4,5,1,3,2,7,6]=>110001=>49
[4,5,1,3,6,2,7]=>110000=>48
[4,5,1,3,6,7,2]=>110000=>48
[4,5,1,3,7,2,6]=>110000=>48
[4,5,1,3,7,6,2]=>110001=>49
[4,5,1,6,2,3,7]=>110000=>48
[4,5,1,6,2,7,3]=>111000=>56
[4,5,1,6,3,2,7]=>111000=>56
[4,5,1,6,3,7,2]=>111000=>56
[4,5,1,6,7,2,3]=>110000=>48
[4,5,1,6,7,3,2]=>111000=>56
[4,5,1,7,2,3,6]=>110000=>48
[4,5,1,7,2,6,3]=>111000=>56
[4,5,1,7,3,2,6]=>111000=>56
[4,5,1,7,3,6,2]=>111000=>56
[4,5,1,7,6,2,3]=>110001=>49
[4,5,1,7,6,3,2]=>111001=>57
[4,5,2,1,3,6,7]=>110000=>48
[4,5,2,1,3,7,6]=>110001=>49
[4,5,2,1,6,3,7]=>111000=>56
[4,5,2,1,6,7,3]=>111000=>56
[4,5,2,1,7,3,6]=>111000=>56
[4,5,2,1,7,6,3]=>111001=>57
[4,5,2,3,1,6,7]=>110000=>48
[4,5,2,3,1,7,6]=>110001=>49
[4,5,2,3,6,1,7]=>110000=>48
[4,5,2,3,6,7,1]=>110000=>48
[4,5,2,3,7,1,6]=>110000=>48
[4,5,2,3,7,6,1]=>110001=>49
[4,5,2,6,1,3,7]=>110000=>48
[4,5,2,6,1,7,3]=>111000=>56
[4,5,2,6,3,1,7]=>111000=>56
[4,5,2,6,3,7,1]=>111000=>56
[4,5,2,6,7,1,3]=>110000=>48
[4,5,2,6,7,3,1]=>111000=>56
[4,5,2,7,1,3,6]=>110000=>48
[4,5,2,7,1,6,3]=>111000=>56
[4,5,2,7,3,1,6]=>111000=>56
[4,5,2,7,3,6,1]=>111000=>56
[4,5,2,7,6,1,3]=>110001=>49
[4,5,2,7,6,3,1]=>111001=>57
[4,5,3,1,2,6,7]=>101000=>40
[4,5,3,1,2,7,6]=>101001=>41
[4,5,3,1,6,2,7]=>111000=>56
[4,5,3,1,6,7,2]=>111000=>56
[4,5,3,1,7,2,6]=>111000=>56
[4,5,3,1,7,6,2]=>111001=>57
[4,5,3,2,1,6,7]=>111000=>56
[4,5,3,2,1,7,6]=>111001=>57
[4,5,3,2,6,1,7]=>111000=>56
[4,5,3,2,6,7,1]=>111000=>56
[4,5,3,2,7,1,6]=>111000=>56
[4,5,3,2,7,6,1]=>111001=>57
[4,5,3,6,1,2,7]=>101000=>40
[4,5,3,6,1,7,2]=>111000=>56
[4,5,3,6,2,1,7]=>111000=>56
[4,5,3,6,2,7,1]=>111000=>56
[4,5,3,6,7,1,2]=>101000=>40
[4,5,3,6,7,2,1]=>111000=>56
[4,5,3,7,1,2,6]=>101000=>40
[4,5,3,7,1,6,2]=>111000=>56
[4,5,3,7,2,1,6]=>111000=>56
[4,5,3,7,2,6,1]=>111000=>56
[4,5,3,7,6,1,2]=>101001=>41
[4,5,3,7,6,2,1]=>111001=>57
[4,5,6,1,2,3,7]=>100000=>32
[4,5,6,1,2,7,3]=>101000=>40
[4,5,6,1,3,2,7]=>110000=>48
[4,5,6,1,3,7,2]=>110000=>48
[4,5,6,1,7,2,3]=>110000=>48
[4,5,6,1,7,3,2]=>111000=>56
[4,5,6,2,1,3,7]=>110000=>48
[4,5,6,2,1,7,3]=>111000=>56
[4,5,6,2,3,1,7]=>110000=>48
[4,5,6,2,3,7,1]=>110000=>48
[4,5,6,2,7,1,3]=>110000=>48
[4,5,6,2,7,3,1]=>111000=>56
[4,5,6,3,1,2,7]=>101000=>40
[4,5,6,3,1,7,2]=>111000=>56
[4,5,6,3,2,1,7]=>111000=>56
[4,5,6,3,2,7,1]=>111000=>56
[4,5,6,3,7,1,2]=>101000=>40
[4,5,6,3,7,2,1]=>111000=>56
[4,5,6,7,1,2,3]=>100000=>32
[4,5,6,7,1,3,2]=>110000=>48
[4,5,6,7,2,1,3]=>110000=>48
[4,5,6,7,2,3,1]=>110000=>48
[4,5,6,7,3,1,2]=>101000=>40
[4,5,6,7,3,2,1]=>111000=>56
[4,5,7,1,2,3,6]=>100000=>32
[4,5,7,1,2,6,3]=>101000=>40
[4,5,7,1,3,2,6]=>110000=>48
[4,5,7,1,3,6,2]=>110000=>48
[4,5,7,1,6,2,3]=>110000=>48
[4,5,7,1,6,3,2]=>111000=>56
[4,5,7,2,1,3,6]=>110000=>48
[4,5,7,2,1,6,3]=>111000=>56
[4,5,7,2,3,1,6]=>110000=>48
[4,5,7,2,3,6,1]=>110000=>48
[4,5,7,2,6,1,3]=>110000=>48
[4,5,7,2,6,3,1]=>111000=>56
[4,5,7,3,1,2,6]=>101000=>40
[4,5,7,3,1,6,2]=>111000=>56
[4,5,7,3,2,1,6]=>111000=>56
[4,5,7,3,2,6,1]=>111000=>56
[4,5,7,3,6,1,2]=>101000=>40
[4,5,7,3,6,2,1]=>111000=>56
[4,5,7,6,1,2,3]=>100001=>33
[4,5,7,6,1,3,2]=>110001=>49
[4,5,7,6,2,1,3]=>110001=>49
[4,5,7,6,2,3,1]=>110001=>49
[4,5,7,6,3,1,2]=>101001=>41
[4,5,7,6,3,2,1]=>111001=>57
[4,6,1,2,3,5,7]=>100000=>32
[4,6,1,2,3,7,5]=>100010=>34
[4,6,1,2,5,3,7]=>101000=>40
[4,6,1,2,5,7,3]=>101000=>40
[4,6,1,2,7,3,5]=>101000=>40
[4,6,1,2,7,5,3]=>101010=>42
[4,6,1,3,2,5,7]=>110000=>48
[4,6,1,3,2,7,5]=>110010=>50
[4,6,1,3,5,2,7]=>110000=>48
[4,6,1,3,5,7,2]=>110000=>48
[4,6,1,3,7,2,5]=>110000=>48
[4,6,1,3,7,5,2]=>110010=>50
[4,6,1,5,2,3,7]=>110000=>48
[4,6,1,5,2,7,3]=>111000=>56
[4,6,1,5,3,2,7]=>111000=>56
[4,6,1,5,3,7,2]=>111000=>56
[4,6,1,5,7,2,3]=>110000=>48
[4,6,1,5,7,3,2]=>111000=>56
[4,6,1,7,2,3,5]=>110000=>48
[4,6,1,7,2,5,3]=>111000=>56
[4,6,1,7,3,2,5]=>111000=>56
[4,6,1,7,3,5,2]=>111000=>56
[4,6,1,7,5,2,3]=>110010=>50
[4,6,1,7,5,3,2]=>111010=>58
[4,6,2,1,3,5,7]=>110000=>48
[4,6,2,1,3,7,5]=>110010=>50
[4,6,2,1,5,3,7]=>111000=>56
[4,6,2,1,5,7,3]=>111000=>56
[4,6,2,1,7,3,5]=>111000=>56
[4,6,2,1,7,5,3]=>111010=>58
[4,6,2,3,1,5,7]=>110000=>48
[4,6,2,3,1,7,5]=>110010=>50
[4,6,2,3,5,1,7]=>110000=>48
[4,6,2,3,5,7,1]=>110000=>48
[4,6,2,3,7,1,5]=>110000=>48
[4,6,2,3,7,5,1]=>110010=>50
[4,6,2,5,1,3,7]=>110000=>48
[4,6,2,5,1,7,3]=>111000=>56
[4,6,2,5,3,1,7]=>111000=>56
[4,6,2,5,3,7,1]=>111000=>56
[4,6,2,5,7,1,3]=>110000=>48
[4,6,2,5,7,3,1]=>111000=>56
[4,6,2,7,1,3,5]=>110000=>48
[4,6,2,7,1,5,3]=>111000=>56
[4,6,2,7,3,1,5]=>111000=>56
[4,6,2,7,3,5,1]=>111000=>56
[4,6,2,7,5,1,3]=>110010=>50
[4,6,2,7,5,3,1]=>111010=>58
[4,6,3,1,2,5,7]=>101000=>40
[4,6,3,1,2,7,5]=>101010=>42
[4,6,3,1,5,2,7]=>111000=>56
[4,6,3,1,5,7,2]=>111000=>56
[4,6,3,1,7,2,5]=>111000=>56
[4,6,3,1,7,5,2]=>111010=>58
[4,6,3,2,1,5,7]=>111000=>56
[4,6,3,2,1,7,5]=>111010=>58
[4,6,3,2,5,1,7]=>111000=>56
[4,6,3,2,5,7,1]=>111000=>56
[4,6,3,2,7,1,5]=>111000=>56
[4,6,3,2,7,5,1]=>111010=>58
[4,6,3,5,1,2,7]=>101000=>40
[4,6,3,5,1,7,2]=>111000=>56
[4,6,3,5,2,1,7]=>111000=>56
[4,6,3,5,2,7,1]=>111000=>56
[4,6,3,5,7,1,2]=>101000=>40
[4,6,3,5,7,2,1]=>111000=>56
[4,6,3,7,1,2,5]=>101000=>40
[4,6,3,7,1,5,2]=>111000=>56
[4,6,3,7,2,1,5]=>111000=>56
[4,6,3,7,2,5,1]=>111000=>56
[4,6,3,7,5,1,2]=>101010=>42
[4,6,3,7,5,2,1]=>111010=>58
[4,6,5,1,2,3,7]=>100010=>34
[4,6,5,1,2,7,3]=>101010=>42
[4,6,5,1,3,2,7]=>110010=>50
[4,6,5,1,3,7,2]=>110010=>50
[4,6,5,1,7,2,3]=>110010=>50
[4,6,5,1,7,3,2]=>111010=>58
[4,6,5,2,1,3,7]=>110010=>50
[4,6,5,2,1,7,3]=>111010=>58
[4,6,5,2,3,1,7]=>110010=>50
[4,6,5,2,3,7,1]=>110010=>50
[4,6,5,2,7,1,3]=>110010=>50
[4,6,5,2,7,3,1]=>111010=>58
[4,6,5,3,1,2,7]=>101010=>42
[4,6,5,3,1,7,2]=>111010=>58
[4,6,5,3,2,1,7]=>111010=>58
[4,6,5,3,2,7,1]=>111010=>58
[4,6,5,3,7,1,2]=>101010=>42
[4,6,5,3,7,2,1]=>111010=>58
[4,6,5,7,1,2,3]=>100010=>34
[4,6,5,7,1,3,2]=>110010=>50
[4,6,5,7,2,1,3]=>110010=>50
[4,6,5,7,2,3,1]=>110010=>50
[4,6,5,7,3,1,2]=>101010=>42
[4,6,5,7,3,2,1]=>111010=>58
[4,6,7,1,2,3,5]=>100000=>32
[4,6,7,1,2,5,3]=>101000=>40
[4,6,7,1,3,2,5]=>110000=>48
[4,6,7,1,3,5,2]=>110000=>48
[4,6,7,1,5,2,3]=>110000=>48
[4,6,7,1,5,3,2]=>111000=>56
[4,6,7,2,1,3,5]=>110000=>48
[4,6,7,2,1,5,3]=>111000=>56
[4,6,7,2,3,1,5]=>110000=>48
[4,6,7,2,3,5,1]=>110000=>48
[4,6,7,2,5,1,3]=>110000=>48
[4,6,7,2,5,3,1]=>111000=>56
[4,6,7,3,1,2,5]=>101000=>40
[4,6,7,3,1,5,2]=>111000=>56
[4,6,7,3,2,1,5]=>111000=>56
[4,6,7,3,2,5,1]=>111000=>56
[4,6,7,3,5,1,2]=>101000=>40
[4,6,7,3,5,2,1]=>111000=>56
[4,6,7,5,1,2,3]=>100010=>34
[4,6,7,5,1,3,2]=>110010=>50
[4,6,7,5,2,1,3]=>110010=>50
[4,6,7,5,2,3,1]=>110010=>50
[4,6,7,5,3,1,2]=>101010=>42
[4,6,7,5,3,2,1]=>111010=>58
[4,7,1,2,3,5,6]=>100000=>32
[4,7,1,2,3,6,5]=>100010=>34
[4,7,1,2,5,3,6]=>101000=>40
[4,7,1,2,5,6,3]=>101000=>40
[4,7,1,2,6,3,5]=>101000=>40
[4,7,1,2,6,5,3]=>101010=>42
[4,7,1,3,2,5,6]=>110000=>48
[4,7,1,3,2,6,5]=>110010=>50
[4,7,1,3,5,2,6]=>110000=>48
[4,7,1,3,5,6,2]=>110000=>48
[4,7,1,3,6,2,5]=>110000=>48
[4,7,1,3,6,5,2]=>110010=>50
[4,7,1,5,2,3,6]=>110000=>48
[4,7,1,5,2,6,3]=>111000=>56
[4,7,1,5,3,2,6]=>111000=>56
[4,7,1,5,3,6,2]=>111000=>56
[4,7,1,5,6,2,3]=>110000=>48
[4,7,1,5,6,3,2]=>111000=>56
[4,7,1,6,2,3,5]=>110000=>48
[4,7,1,6,2,5,3]=>111000=>56
[4,7,1,6,3,2,5]=>111000=>56
[4,7,1,6,3,5,2]=>111000=>56
[4,7,1,6,5,2,3]=>110010=>50
[4,7,1,6,5,3,2]=>111010=>58
[4,7,2,1,3,5,6]=>110000=>48
[4,7,2,1,3,6,5]=>110010=>50
[4,7,2,1,5,3,6]=>111000=>56
[4,7,2,1,5,6,3]=>111000=>56
[4,7,2,1,6,3,5]=>111000=>56
[4,7,2,1,6,5,3]=>111010=>58
[4,7,2,3,1,5,6]=>110000=>48
[4,7,2,3,1,6,5]=>110010=>50
[4,7,2,3,5,1,6]=>110000=>48
[4,7,2,3,5,6,1]=>110000=>48
[4,7,2,3,6,1,5]=>110000=>48
[4,7,2,3,6,5,1]=>110010=>50
[4,7,2,5,1,3,6]=>110000=>48
[4,7,2,5,1,6,3]=>111000=>56
[4,7,2,5,3,1,6]=>111000=>56
[4,7,2,5,3,6,1]=>111000=>56
[4,7,2,5,6,1,3]=>110000=>48
[4,7,2,5,6,3,1]=>111000=>56
[4,7,2,6,1,3,5]=>110000=>48
[4,7,2,6,1,5,3]=>111000=>56
[4,7,2,6,3,1,5]=>111000=>56
[4,7,2,6,3,5,1]=>111000=>56
[4,7,2,6,5,1,3]=>110010=>50
[4,7,2,6,5,3,1]=>111010=>58
[4,7,3,1,2,5,6]=>101000=>40
[4,7,3,1,2,6,5]=>101010=>42
[4,7,3,1,5,2,6]=>111000=>56
[4,7,3,1,5,6,2]=>111000=>56
[4,7,3,1,6,2,5]=>111000=>56
[4,7,3,1,6,5,2]=>111010=>58
[4,7,3,2,1,5,6]=>111000=>56
[4,7,3,2,1,6,5]=>111010=>58
[4,7,3,2,5,1,6]=>111000=>56
[4,7,3,2,5,6,1]=>111000=>56
[4,7,3,2,6,1,5]=>111000=>56
[4,7,3,2,6,5,1]=>111010=>58
[4,7,3,5,1,2,6]=>101000=>40
[4,7,3,5,1,6,2]=>111000=>56
[4,7,3,5,2,1,6]=>111000=>56
[4,7,3,5,2,6,1]=>111000=>56
[4,7,3,5,6,1,2]=>101000=>40
[4,7,3,5,6,2,1]=>111000=>56
[4,7,3,6,1,2,5]=>101000=>40
[4,7,3,6,1,5,2]=>111000=>56
[4,7,3,6,2,1,5]=>111000=>56
[4,7,3,6,2,5,1]=>111000=>56
[4,7,3,6,5,1,2]=>101010=>42
[4,7,3,6,5,2,1]=>111010=>58
[4,7,5,1,2,3,6]=>100010=>34
[4,7,5,1,2,6,3]=>101010=>42
[4,7,5,1,3,2,6]=>110010=>50
[4,7,5,1,3,6,2]=>110010=>50
[4,7,5,1,6,2,3]=>110010=>50
[4,7,5,1,6,3,2]=>111010=>58
[4,7,5,2,1,3,6]=>110010=>50
[4,7,5,2,1,6,3]=>111010=>58
[4,7,5,2,3,1,6]=>110010=>50
[4,7,5,2,3,6,1]=>110010=>50
[4,7,5,2,6,1,3]=>110010=>50
[4,7,5,2,6,3,1]=>111010=>58
[4,7,5,3,1,2,6]=>101010=>42
[4,7,5,3,1,6,2]=>111010=>58
[4,7,5,3,2,1,6]=>111010=>58
[4,7,5,3,2,6,1]=>111010=>58
[4,7,5,3,6,1,2]=>101010=>42
[4,7,5,3,6,2,1]=>111010=>58
[4,7,5,6,1,2,3]=>100010=>34
[4,7,5,6,1,3,2]=>110010=>50
[4,7,5,6,2,1,3]=>110010=>50
[4,7,5,6,2,3,1]=>110010=>50
[4,7,5,6,3,1,2]=>101010=>42
[4,7,5,6,3,2,1]=>111010=>58
[4,7,6,1,2,3,5]=>100001=>33
[4,7,6,1,2,5,3]=>101001=>41
[4,7,6,1,3,2,5]=>110001=>49
[4,7,6,1,3,5,2]=>110001=>49
[4,7,6,1,5,2,3]=>110001=>49
[4,7,6,1,5,3,2]=>111001=>57
[4,7,6,2,1,3,5]=>110001=>49
[4,7,6,2,1,5,3]=>111001=>57
[4,7,6,2,3,1,5]=>110001=>49
[4,7,6,2,3,5,1]=>110001=>49
[4,7,6,2,5,1,3]=>110001=>49
[4,7,6,2,5,3,1]=>111001=>57
[4,7,6,3,1,2,5]=>101001=>41
[4,7,6,3,1,5,2]=>111001=>57
[4,7,6,3,2,1,5]=>111001=>57
[4,7,6,3,2,5,1]=>111001=>57
[4,7,6,3,5,1,2]=>101001=>41
[4,7,6,3,5,2,1]=>111001=>57
[4,7,6,5,1,2,3]=>100011=>35
[4,7,6,5,1,3,2]=>110011=>51
[4,7,6,5,2,1,3]=>110011=>51
[4,7,6,5,2,3,1]=>110011=>51
[4,7,6,5,3,1,2]=>101011=>43
[4,7,6,5,3,2,1]=>111011=>59
[5,1,2,3,4,6,7]=>100000=>32
[5,1,2,3,4,7,6]=>100001=>33
[5,1,2,3,6,4,7]=>100100=>36
[5,1,2,3,6,7,4]=>100100=>36
[5,1,2,3,7,4,6]=>100100=>36
[5,1,2,3,7,6,4]=>100101=>37
[5,1,2,4,3,6,7]=>101000=>40
[5,1,2,4,3,7,6]=>101001=>41
[5,1,2,4,6,3,7]=>101000=>40
[5,1,2,4,6,7,3]=>101000=>40
[5,1,2,4,7,3,6]=>101000=>40
[5,1,2,4,7,6,3]=>101001=>41
[5,1,2,6,3,4,7]=>101000=>40
[5,1,2,6,3,7,4]=>101100=>44
[5,1,2,6,4,3,7]=>101100=>44
[5,1,2,6,4,7,3]=>101100=>44
[5,1,2,6,7,3,4]=>101000=>40
[5,1,2,6,7,4,3]=>101100=>44
[5,1,2,7,3,4,6]=>101000=>40
[5,1,2,7,3,6,4]=>101100=>44
[5,1,2,7,4,3,6]=>101100=>44
[5,1,2,7,4,6,3]=>101100=>44
[5,1,2,7,6,3,4]=>101001=>41
[5,1,2,7,6,4,3]=>101101=>45
[5,1,3,2,4,6,7]=>110000=>48
[5,1,3,2,4,7,6]=>110001=>49
[5,1,3,2,6,4,7]=>110100=>52
[5,1,3,2,6,7,4]=>110100=>52
[5,1,3,2,7,4,6]=>110100=>52
[5,1,3,2,7,6,4]=>110101=>53
[5,1,3,4,2,6,7]=>110000=>48
[5,1,3,4,2,7,6]=>110001=>49
[5,1,3,4,6,2,7]=>110000=>48
[5,1,3,4,6,7,2]=>110000=>48
[5,1,3,4,7,2,6]=>110000=>48
[5,1,3,4,7,6,2]=>110001=>49
[5,1,3,6,2,4,7]=>110000=>48
[5,1,3,6,2,7,4]=>110100=>52
[5,1,3,6,4,2,7]=>110100=>52
[5,1,3,6,4,7,2]=>110100=>52
[5,1,3,6,7,2,4]=>110000=>48
[5,1,3,6,7,4,2]=>110100=>52
[5,1,3,7,2,4,6]=>110000=>48
[5,1,3,7,2,6,4]=>110100=>52
[5,1,3,7,4,2,6]=>110100=>52
[5,1,3,7,4,6,2]=>110100=>52
[5,1,3,7,6,2,4]=>110001=>49
[5,1,3,7,6,4,2]=>110101=>53
[5,1,4,2,3,6,7]=>110000=>48
[5,1,4,2,3,7,6]=>110001=>49
[5,1,4,2,6,3,7]=>111000=>56
[5,1,4,2,6,7,3]=>111000=>56
[5,1,4,2,7,3,6]=>111000=>56
[5,1,4,2,7,6,3]=>111001=>57
[5,1,4,3,2,6,7]=>111000=>56
[5,1,4,3,2,7,6]=>111001=>57
[5,1,4,3,6,2,7]=>111000=>56
[5,1,4,3,6,7,2]=>111000=>56
[5,1,4,3,7,2,6]=>111000=>56
[5,1,4,3,7,6,2]=>111001=>57
[5,1,4,6,2,3,7]=>110000=>48
[5,1,4,6,2,7,3]=>111000=>56
[5,1,4,6,3,2,7]=>111000=>56
[5,1,4,6,3,7,2]=>111000=>56
[5,1,4,6,7,2,3]=>110000=>48
[5,1,4,6,7,3,2]=>111000=>56
[5,1,4,7,2,3,6]=>110000=>48
[5,1,4,7,2,6,3]=>111000=>56
[5,1,4,7,3,2,6]=>111000=>56
[5,1,4,7,3,6,2]=>111000=>56
[5,1,4,7,6,2,3]=>110001=>49
[5,1,4,7,6,3,2]=>111001=>57
[5,1,6,2,3,4,7]=>110000=>48
[5,1,6,2,3,7,4]=>110100=>52
[5,1,6,2,4,3,7]=>111000=>56
[5,1,6,2,4,7,3]=>111000=>56
[5,1,6,2,7,3,4]=>111000=>56
[5,1,6,2,7,4,3]=>111100=>60
[5,1,6,3,2,4,7]=>111000=>56
[5,1,6,3,2,7,4]=>111100=>60
[5,1,6,3,4,2,7]=>111000=>56
[5,1,6,3,4,7,2]=>111000=>56
[5,1,6,3,7,2,4]=>111000=>56
[5,1,6,3,7,4,2]=>111100=>60
[5,1,6,4,2,3,7]=>110100=>52
[5,1,6,4,2,7,3]=>111100=>60
[5,1,6,4,3,2,7]=>111100=>60
[5,1,6,4,3,7,2]=>111100=>60
[5,1,6,4,7,2,3]=>110100=>52
[5,1,6,4,7,3,2]=>111100=>60
[5,1,6,7,2,3,4]=>110000=>48
[5,1,6,7,2,4,3]=>111000=>56
[5,1,6,7,3,2,4]=>111000=>56
[5,1,6,7,3,4,2]=>111000=>56
[5,1,6,7,4,2,3]=>110100=>52
[5,1,6,7,4,3,2]=>111100=>60
[5,1,7,2,3,4,6]=>110000=>48
[5,1,7,2,3,6,4]=>110100=>52
[5,1,7,2,4,3,6]=>111000=>56
[5,1,7,2,4,6,3]=>111000=>56
[5,1,7,2,6,3,4]=>111000=>56
[5,1,7,2,6,4,3]=>111100=>60
[5,1,7,3,2,4,6]=>111000=>56
[5,1,7,3,2,6,4]=>111100=>60
[5,1,7,3,4,2,6]=>111000=>56
[5,1,7,3,4,6,2]=>111000=>56
[5,1,7,3,6,2,4]=>111000=>56
[5,1,7,3,6,4,2]=>111100=>60
[5,1,7,4,2,3,6]=>110100=>52
[5,1,7,4,2,6,3]=>111100=>60
[5,1,7,4,3,2,6]=>111100=>60
[5,1,7,4,3,6,2]=>111100=>60
[5,1,7,4,6,2,3]=>110100=>52
[5,1,7,4,6,3,2]=>111100=>60
[5,1,7,6,2,3,4]=>110001=>49
[5,1,7,6,2,4,3]=>111001=>57
[5,1,7,6,3,2,4]=>111001=>57
[5,1,7,6,3,4,2]=>111001=>57
[5,1,7,6,4,2,3]=>110101=>53
[5,1,7,6,4,3,2]=>111101=>61
[5,2,1,3,4,6,7]=>110000=>48
[5,2,1,3,4,7,6]=>110001=>49
[5,2,1,3,6,4,7]=>110100=>52
[5,2,1,3,6,7,4]=>110100=>52
[5,2,1,3,7,4,6]=>110100=>52
[5,2,1,3,7,6,4]=>110101=>53
[5,2,1,4,3,6,7]=>111000=>56
[5,2,1,4,3,7,6]=>111001=>57
[5,2,1,4,6,3,7]=>111000=>56
[5,2,1,4,6,7,3]=>111000=>56
[5,2,1,4,7,3,6]=>111000=>56
[5,2,1,4,7,6,3]=>111001=>57
[5,2,1,6,3,4,7]=>111000=>56
[5,2,1,6,3,7,4]=>111100=>60
[5,2,1,6,4,3,7]=>111100=>60
[5,2,1,6,4,7,3]=>111100=>60
[5,2,1,6,7,3,4]=>111000=>56
[5,2,1,6,7,4,3]=>111100=>60
[5,2,1,7,3,4,6]=>111000=>56
[5,2,1,7,3,6,4]=>111100=>60
[5,2,1,7,4,3,6]=>111100=>60
[5,2,1,7,4,6,3]=>111100=>60
[5,2,1,7,6,3,4]=>111001=>57
[5,2,1,7,6,4,3]=>111101=>61
[5,2,3,1,4,6,7]=>110000=>48
[5,2,3,1,4,7,6]=>110001=>49
[5,2,3,1,6,4,7]=>110100=>52
[5,2,3,1,6,7,4]=>110100=>52
[5,2,3,1,7,4,6]=>110100=>52
[5,2,3,1,7,6,4]=>110101=>53
[5,2,3,4,1,6,7]=>110000=>48
[5,2,3,4,1,7,6]=>110001=>49
[5,2,3,4,6,1,7]=>110000=>48
[5,2,3,4,6,7,1]=>110000=>48
[5,2,3,4,7,1,6]=>110000=>48
[5,2,3,4,7,6,1]=>110001=>49
[5,2,3,6,1,4,7]=>110000=>48
[5,2,3,6,1,7,4]=>110100=>52
[5,2,3,6,4,1,7]=>110100=>52
[5,2,3,6,4,7,1]=>110100=>52
[5,2,3,6,7,1,4]=>110000=>48
[5,2,3,6,7,4,1]=>110100=>52
[5,2,3,7,1,4,6]=>110000=>48
[5,2,3,7,1,6,4]=>110100=>52
[5,2,3,7,4,1,6]=>110100=>52
[5,2,3,7,4,6,1]=>110100=>52
[5,2,3,7,6,1,4]=>110001=>49
[5,2,3,7,6,4,1]=>110101=>53
[5,2,4,1,3,6,7]=>110000=>48
[5,2,4,1,3,7,6]=>110001=>49
[5,2,4,1,6,3,7]=>111000=>56
[5,2,4,1,6,7,3]=>111000=>56
[5,2,4,1,7,3,6]=>111000=>56
[5,2,4,1,7,6,3]=>111001=>57
[5,2,4,3,1,6,7]=>111000=>56
[5,2,4,3,1,7,6]=>111001=>57
[5,2,4,3,6,1,7]=>111000=>56
[5,2,4,3,6,7,1]=>111000=>56
[5,2,4,3,7,1,6]=>111000=>56
[5,2,4,3,7,6,1]=>111001=>57
[5,2,4,6,1,3,7]=>110000=>48
[5,2,4,6,1,7,3]=>111000=>56
[5,2,4,6,3,1,7]=>111000=>56
[5,2,4,6,3,7,1]=>111000=>56
[5,2,4,6,7,1,3]=>110000=>48
[5,2,4,6,7,3,1]=>111000=>56
[5,2,4,7,1,3,6]=>110000=>48
[5,2,4,7,1,6,3]=>111000=>56
[5,2,4,7,3,1,6]=>111000=>56
[5,2,4,7,3,6,1]=>111000=>56
[5,2,4,7,6,1,3]=>110001=>49
[5,2,4,7,6,3,1]=>111001=>57
[5,2,6,1,3,4,7]=>110000=>48
[5,2,6,1,3,7,4]=>110100=>52
[5,2,6,1,4,3,7]=>111000=>56
[5,2,6,1,4,7,3]=>111000=>56
[5,2,6,1,7,3,4]=>111000=>56
[5,2,6,1,7,4,3]=>111100=>60
[5,2,6,3,1,4,7]=>111000=>56
[5,2,6,3,1,7,4]=>111100=>60
[5,2,6,3,4,1,7]=>111000=>56
[5,2,6,3,4,7,1]=>111000=>56
[5,2,6,3,7,1,4]=>111000=>56
[5,2,6,3,7,4,1]=>111100=>60
[5,2,6,4,1,3,7]=>110100=>52
[5,2,6,4,1,7,3]=>111100=>60
[5,2,6,4,3,1,7]=>111100=>60
[5,2,6,4,3,7,1]=>111100=>60
[5,2,6,4,7,1,3]=>110100=>52
[5,2,6,4,7,3,1]=>111100=>60
[5,2,6,7,1,3,4]=>110000=>48
[5,2,6,7,1,4,3]=>111000=>56
[5,2,6,7,3,1,4]=>111000=>56
[5,2,6,7,3,4,1]=>111000=>56
[5,2,6,7,4,1,3]=>110100=>52
[5,2,6,7,4,3,1]=>111100=>60
[5,2,7,1,3,4,6]=>110000=>48
[5,2,7,1,3,6,4]=>110100=>52
[5,2,7,1,4,3,6]=>111000=>56
[5,2,7,1,4,6,3]=>111000=>56
[5,2,7,1,6,3,4]=>111000=>56
[5,2,7,1,6,4,3]=>111100=>60
[5,2,7,3,1,4,6]=>111000=>56
[5,2,7,3,1,6,4]=>111100=>60
[5,2,7,3,4,1,6]=>111000=>56
[5,2,7,3,4,6,1]=>111000=>56
[5,2,7,3,6,1,4]=>111000=>56
[5,2,7,3,6,4,1]=>111100=>60
[5,2,7,4,1,3,6]=>110100=>52
[5,2,7,4,1,6,3]=>111100=>60
[5,2,7,4,3,1,6]=>111100=>60
[5,2,7,4,3,6,1]=>111100=>60
[5,2,7,4,6,1,3]=>110100=>52
[5,2,7,4,6,3,1]=>111100=>60
[5,2,7,6,1,3,4]=>110001=>49
[5,2,7,6,1,4,3]=>111001=>57
[5,2,7,6,3,1,4]=>111001=>57
[5,2,7,6,3,4,1]=>111001=>57
[5,2,7,6,4,1,3]=>110101=>53
[5,2,7,6,4,3,1]=>111101=>61
[5,3,1,2,4,6,7]=>101000=>40
[5,3,1,2,4,7,6]=>101001=>41
[5,3,1,2,6,4,7]=>101100=>44
[5,3,1,2,6,7,4]=>101100=>44
[5,3,1,2,7,4,6]=>101100=>44
[5,3,1,2,7,6,4]=>101101=>45
[5,3,1,4,2,6,7]=>111000=>56
[5,3,1,4,2,7,6]=>111001=>57
[5,3,1,4,6,2,7]=>111000=>56
[5,3,1,4,6,7,2]=>111000=>56
[5,3,1,4,7,2,6]=>111000=>56
[5,3,1,4,7,6,2]=>111001=>57
[5,3,1,6,2,4,7]=>111000=>56
[5,3,1,6,2,7,4]=>111100=>60
[5,3,1,6,4,2,7]=>111100=>60
[5,3,1,6,4,7,2]=>111100=>60
[5,3,1,6,7,2,4]=>111000=>56
[5,3,1,6,7,4,2]=>111100=>60
[5,3,1,7,2,4,6]=>111000=>56
[5,3,1,7,2,6,4]=>111100=>60
[5,3,1,7,4,2,6]=>111100=>60
[5,3,1,7,4,6,2]=>111100=>60
[5,3,1,7,6,2,4]=>111001=>57
[5,3,1,7,6,4,2]=>111101=>61
[5,3,2,1,4,6,7]=>111000=>56
[5,3,2,1,4,7,6]=>111001=>57
[5,3,2,1,6,4,7]=>111100=>60
[5,3,2,1,6,7,4]=>111100=>60
[5,3,2,1,7,4,6]=>111100=>60
[5,3,2,1,7,6,4]=>111101=>61
[5,3,2,4,1,6,7]=>111000=>56
[5,3,2,4,1,7,6]=>111001=>57
[5,3,2,4,6,1,7]=>111000=>56
[5,3,2,4,6,7,1]=>111000=>56
[5,3,2,4,7,1,6]=>111000=>56
[5,3,2,4,7,6,1]=>111001=>57
[5,3,2,6,1,4,7]=>111000=>56
[5,3,2,6,1,7,4]=>111100=>60
[5,3,2,6,4,1,7]=>111100=>60
[5,3,2,6,4,7,1]=>111100=>60
[5,3,2,6,7,1,4]=>111000=>56
[5,3,2,6,7,4,1]=>111100=>60
[5,3,2,7,1,4,6]=>111000=>56
[5,3,2,7,1,6,4]=>111100=>60
[5,3,2,7,4,1,6]=>111100=>60
[5,3,2,7,4,6,1]=>111100=>60
[5,3,2,7,6,1,4]=>111001=>57
[5,3,2,7,6,4,1]=>111101=>61
[5,3,4,1,2,6,7]=>101000=>40
[5,3,4,1,2,7,6]=>101001=>41
[5,3,4,1,6,2,7]=>111000=>56
[5,3,4,1,6,7,2]=>111000=>56
[5,3,4,1,7,2,6]=>111000=>56
[5,3,4,1,7,6,2]=>111001=>57
[5,3,4,2,1,6,7]=>111000=>56
[5,3,4,2,1,7,6]=>111001=>57
[5,3,4,2,6,1,7]=>111000=>56
[5,3,4,2,6,7,1]=>111000=>56
[5,3,4,2,7,1,6]=>111000=>56
[5,3,4,2,7,6,1]=>111001=>57
[5,3,4,6,1,2,7]=>101000=>40
[5,3,4,6,1,7,2]=>111000=>56
[5,3,4,6,2,1,7]=>111000=>56
[5,3,4,6,2,7,1]=>111000=>56
[5,3,4,6,7,1,2]=>101000=>40
[5,3,4,6,7,2,1]=>111000=>56
[5,3,4,7,1,2,6]=>101000=>40
[5,3,4,7,1,6,2]=>111000=>56
[5,3,4,7,2,1,6]=>111000=>56
[5,3,4,7,2,6,1]=>111000=>56
[5,3,4,7,6,1,2]=>101001=>41
[5,3,4,7,6,2,1]=>111001=>57
[5,3,6,1,2,4,7]=>101000=>40
[5,3,6,1,2,7,4]=>101100=>44
[5,3,6,1,4,2,7]=>111000=>56
[5,3,6,1,4,7,2]=>111000=>56
[5,3,6,1,7,2,4]=>111000=>56
[5,3,6,1,7,4,2]=>111100=>60
[5,3,6,2,1,4,7]=>111000=>56
[5,3,6,2,1,7,4]=>111100=>60
[5,3,6,2,4,1,7]=>111000=>56
[5,3,6,2,4,7,1]=>111000=>56
[5,3,6,2,7,1,4]=>111000=>56
[5,3,6,2,7,4,1]=>111100=>60
[5,3,6,4,1,2,7]=>101100=>44
[5,3,6,4,1,7,2]=>111100=>60
[5,3,6,4,2,1,7]=>111100=>60
[5,3,6,4,2,7,1]=>111100=>60
[5,3,6,4,7,1,2]=>101100=>44
[5,3,6,4,7,2,1]=>111100=>60
[5,3,6,7,1,2,4]=>101000=>40
[5,3,6,7,1,4,2]=>111000=>56
[5,3,6,7,2,1,4]=>111000=>56
[5,3,6,7,2,4,1]=>111000=>56
[5,3,6,7,4,1,2]=>101100=>44
[5,3,6,7,4,2,1]=>111100=>60
[5,3,7,1,2,4,6]=>101000=>40
[5,3,7,1,2,6,4]=>101100=>44
[5,3,7,1,4,2,6]=>111000=>56
[5,3,7,1,4,6,2]=>111000=>56
[5,3,7,1,6,2,4]=>111000=>56
[5,3,7,1,6,4,2]=>111100=>60
[5,3,7,2,1,4,6]=>111000=>56
[5,3,7,2,1,6,4]=>111100=>60
[5,3,7,2,4,1,6]=>111000=>56
[5,3,7,2,4,6,1]=>111000=>56
[5,3,7,2,6,1,4]=>111000=>56
[5,3,7,2,6,4,1]=>111100=>60
[5,3,7,4,1,2,6]=>101100=>44
[5,3,7,4,1,6,2]=>111100=>60
[5,3,7,4,2,1,6]=>111100=>60
[5,3,7,4,2,6,1]=>111100=>60
[5,3,7,4,6,1,2]=>101100=>44
[5,3,7,4,6,2,1]=>111100=>60
[5,3,7,6,1,2,4]=>101001=>41
[5,3,7,6,1,4,2]=>111001=>57
[5,3,7,6,2,1,4]=>111001=>57
[5,3,7,6,2,4,1]=>111001=>57
[5,3,7,6,4,1,2]=>101101=>45
[5,3,7,6,4,2,1]=>111101=>61
[5,4,1,2,3,6,7]=>100100=>36
[5,4,1,2,3,7,6]=>100101=>37
[5,4,1,2,6,3,7]=>101100=>44
[5,4,1,2,6,7,3]=>101100=>44
[5,4,1,2,7,3,6]=>101100=>44
[5,4,1,2,7,6,3]=>101101=>45
[5,4,1,3,2,6,7]=>110100=>52
[5,4,1,3,2,7,6]=>110101=>53
[5,4,1,3,6,2,7]=>110100=>52
[5,4,1,3,6,7,2]=>110100=>52
[5,4,1,3,7,2,6]=>110100=>52
[5,4,1,3,7,6,2]=>110101=>53
[5,4,1,6,2,3,7]=>110100=>52
[5,4,1,6,2,7,3]=>111100=>60
[5,4,1,6,3,2,7]=>111100=>60
[5,4,1,6,3,7,2]=>111100=>60
[5,4,1,6,7,2,3]=>110100=>52
[5,4,1,6,7,3,2]=>111100=>60
[5,4,1,7,2,3,6]=>110100=>52
[5,4,1,7,2,6,3]=>111100=>60
[5,4,1,7,3,2,6]=>111100=>60
[5,4,1,7,3,6,2]=>111100=>60
[5,4,1,7,6,2,3]=>110101=>53
[5,4,1,7,6,3,2]=>111101=>61
[5,4,2,1,3,6,7]=>110100=>52
[5,4,2,1,3,7,6]=>110101=>53
[5,4,2,1,6,3,7]=>111100=>60
[5,4,2,1,6,7,3]=>111100=>60
[5,4,2,1,7,3,6]=>111100=>60
[5,4,2,1,7,6,3]=>111101=>61
[5,4,2,3,1,6,7]=>110100=>52
[5,4,2,3,1,7,6]=>110101=>53
[5,4,2,3,6,1,7]=>110100=>52
[5,4,2,3,6,7,1]=>110100=>52
[5,4,2,3,7,1,6]=>110100=>52
[5,4,2,3,7,6,1]=>110101=>53
[5,4,2,6,1,3,7]=>110100=>52
[5,4,2,6,1,7,3]=>111100=>60
[5,4,2,6,3,1,7]=>111100=>60
[5,4,2,6,3,7,1]=>111100=>60
[5,4,2,6,7,1,3]=>110100=>52
[5,4,2,6,7,3,1]=>111100=>60
[5,4,2,7,1,3,6]=>110100=>52
[5,4,2,7,1,6,3]=>111100=>60
[5,4,2,7,3,1,6]=>111100=>60
[5,4,2,7,3,6,1]=>111100=>60
[5,4,2,7,6,1,3]=>110101=>53
[5,4,2,7,6,3,1]=>111101=>61
[5,4,3,1,2,6,7]=>101100=>44
[5,4,3,1,2,7,6]=>101101=>45
[5,4,3,1,6,2,7]=>111100=>60
[5,4,3,1,6,7,2]=>111100=>60
[5,4,3,1,7,2,6]=>111100=>60
[5,4,3,1,7,6,2]=>111101=>61
[5,4,3,2,1,6,7]=>111100=>60
[5,4,3,2,1,7,6]=>111101=>61
[5,4,3,2,6,1,7]=>111100=>60
[5,4,3,2,6,7,1]=>111100=>60
[5,4,3,2,7,1,6]=>111100=>60
[5,4,3,2,7,6,1]=>111101=>61
[5,4,3,6,1,2,7]=>101100=>44
[5,4,3,6,1,7,2]=>111100=>60
[5,4,3,6,2,1,7]=>111100=>60
[5,4,3,6,2,7,1]=>111100=>60
[5,4,3,6,7,1,2]=>101100=>44
[5,4,3,6,7,2,1]=>111100=>60
[5,4,3,7,1,2,6]=>101100=>44
[5,4,3,7,1,6,2]=>111100=>60
[5,4,3,7,2,1,6]=>111100=>60
[5,4,3,7,2,6,1]=>111100=>60
[5,4,3,7,6,1,2]=>101101=>45
[5,4,3,7,6,2,1]=>111101=>61
[5,4,6,1,2,3,7]=>100100=>36
[5,4,6,1,2,7,3]=>101100=>44
[5,4,6,1,3,2,7]=>110100=>52
[5,4,6,1,3,7,2]=>110100=>52
[5,4,6,1,7,2,3]=>110100=>52
[5,4,6,1,7,3,2]=>111100=>60
[5,4,6,2,1,3,7]=>110100=>52
[5,4,6,2,1,7,3]=>111100=>60
[5,4,6,2,3,1,7]=>110100=>52
[5,4,6,2,3,7,1]=>110100=>52
[5,4,6,2,7,1,3]=>110100=>52
[5,4,6,2,7,3,1]=>111100=>60
[5,4,6,3,1,2,7]=>101100=>44
[5,4,6,3,1,7,2]=>111100=>60
[5,4,6,3,2,1,7]=>111100=>60
[5,4,6,3,2,7,1]=>111100=>60
[5,4,6,3,7,1,2]=>101100=>44
[5,4,6,3,7,2,1]=>111100=>60
[5,4,6,7,1,2,3]=>100100=>36
[5,4,6,7,1,3,2]=>110100=>52
[5,4,6,7,2,1,3]=>110100=>52
[5,4,6,7,2,3,1]=>110100=>52
[5,4,6,7,3,1,2]=>101100=>44
[5,4,6,7,3,2,1]=>111100=>60
[5,4,7,1,2,3,6]=>100100=>36
[5,4,7,1,2,6,3]=>101100=>44
[5,4,7,1,3,2,6]=>110100=>52
[5,4,7,1,3,6,2]=>110100=>52
[5,4,7,1,6,2,3]=>110100=>52
[5,4,7,1,6,3,2]=>111100=>60
[5,4,7,2,1,3,6]=>110100=>52
[5,4,7,2,1,6,3]=>111100=>60
[5,4,7,2,3,1,6]=>110100=>52
[5,4,7,2,3,6,1]=>110100=>52
[5,4,7,2,6,1,3]=>110100=>52
[5,4,7,2,6,3,1]=>111100=>60
[5,4,7,3,1,2,6]=>101100=>44
[5,4,7,3,1,6,2]=>111100=>60
[5,4,7,3,2,1,6]=>111100=>60
[5,4,7,3,2,6,1]=>111100=>60
[5,4,7,3,6,1,2]=>101100=>44
[5,4,7,3,6,2,1]=>111100=>60
[5,4,7,6,1,2,3]=>100101=>37
[5,4,7,6,1,3,2]=>110101=>53
[5,4,7,6,2,1,3]=>110101=>53
[5,4,7,6,2,3,1]=>110101=>53
[5,4,7,6,3,1,2]=>101101=>45
[5,4,7,6,3,2,1]=>111101=>61
[5,6,1,2,3,4,7]=>100000=>32
[5,6,1,2,3,7,4]=>100100=>36
[5,6,1,2,4,3,7]=>101000=>40
[5,6,1,2,4,7,3]=>101000=>40
[5,6,1,2,7,3,4]=>101000=>40
[5,6,1,2,7,4,3]=>101100=>44
[5,6,1,3,2,4,7]=>110000=>48
[5,6,1,3,2,7,4]=>110100=>52
[5,6,1,3,4,2,7]=>110000=>48
[5,6,1,3,4,7,2]=>110000=>48
[5,6,1,3,7,2,4]=>110000=>48
[5,6,1,3,7,4,2]=>110100=>52
[5,6,1,4,2,3,7]=>110000=>48
[5,6,1,4,2,7,3]=>111000=>56
[5,6,1,4,3,2,7]=>111000=>56
[5,6,1,4,3,7,2]=>111000=>56
[5,6,1,4,7,2,3]=>110000=>48
[5,6,1,4,7,3,2]=>111000=>56
[5,6,1,7,2,3,4]=>110000=>48
[5,6,1,7,2,4,3]=>111000=>56
[5,6,1,7,3,2,4]=>111000=>56
[5,6,1,7,3,4,2]=>111000=>56
[5,6,1,7,4,2,3]=>110100=>52
[5,6,1,7,4,3,2]=>111100=>60
[5,6,2,1,3,4,7]=>110000=>48
[5,6,2,1,3,7,4]=>110100=>52
[5,6,2,1,4,3,7]=>111000=>56
[5,6,2,1,4,7,3]=>111000=>56
[5,6,2,1,7,3,4]=>111000=>56
[5,6,2,1,7,4,3]=>111100=>60
[5,6,2,3,1,4,7]=>110000=>48
[5,6,2,3,1,7,4]=>110100=>52
[5,6,2,3,4,1,7]=>110000=>48
[5,6,2,3,4,7,1]=>110000=>48
[5,6,2,3,7,1,4]=>110000=>48
[5,6,2,3,7,4,1]=>110100=>52
[5,6,2,4,1,3,7]=>110000=>48
[5,6,2,4,1,7,3]=>111000=>56
[5,6,2,4,3,1,7]=>111000=>56
[5,6,2,4,3,7,1]=>111000=>56
[5,6,2,4,7,1,3]=>110000=>48
[5,6,2,4,7,3,1]=>111000=>56
[5,6,2,7,1,3,4]=>110000=>48
[5,6,2,7,1,4,3]=>111000=>56
[5,6,2,7,3,1,4]=>111000=>56
[5,6,2,7,3,4,1]=>111000=>56
[5,6,2,7,4,1,3]=>110100=>52
[5,6,2,7,4,3,1]=>111100=>60
[5,6,3,1,2,4,7]=>101000=>40
[5,6,3,1,2,7,4]=>101100=>44
[5,6,3,1,4,2,7]=>111000=>56
[5,6,3,1,4,7,2]=>111000=>56
[5,6,3,1,7,2,4]=>111000=>56
[5,6,3,1,7,4,2]=>111100=>60
[5,6,3,2,1,4,7]=>111000=>56
[5,6,3,2,1,7,4]=>111100=>60
[5,6,3,2,4,1,7]=>111000=>56
[5,6,3,2,4,7,1]=>111000=>56
[5,6,3,2,7,1,4]=>111000=>56
[5,6,3,2,7,4,1]=>111100=>60
[5,6,3,4,1,2,7]=>101000=>40
[5,6,3,4,1,7,2]=>111000=>56
[5,6,3,4,2,1,7]=>111000=>56
[5,6,3,4,2,7,1]=>111000=>56
[5,6,3,4,7,1,2]=>101000=>40
[5,6,3,4,7,2,1]=>111000=>56
[5,6,3,7,1,2,4]=>101000=>40
[5,6,3,7,1,4,2]=>111000=>56
[5,6,3,7,2,1,4]=>111000=>56
[5,6,3,7,2,4,1]=>111000=>56
[5,6,3,7,4,1,2]=>101100=>44
[5,6,3,7,4,2,1]=>111100=>60
[5,6,4,1,2,3,7]=>100100=>36
[5,6,4,1,2,7,3]=>101100=>44
[5,6,4,1,3,2,7]=>110100=>52
[5,6,4,1,3,7,2]=>110100=>52
[5,6,4,1,7,2,3]=>110100=>52
[5,6,4,1,7,3,2]=>111100=>60
[5,6,4,2,1,3,7]=>110100=>52
[5,6,4,2,1,7,3]=>111100=>60
[5,6,4,2,3,1,7]=>110100=>52
[5,6,4,2,3,7,1]=>110100=>52
[5,6,4,2,7,1,3]=>110100=>52
[5,6,4,2,7,3,1]=>111100=>60
[5,6,4,3,1,2,7]=>101100=>44
[5,6,4,3,1,7,2]=>111100=>60
[5,6,4,3,2,1,7]=>111100=>60
[5,6,4,3,2,7,1]=>111100=>60
[5,6,4,3,7,1,2]=>101100=>44
[5,6,4,3,7,2,1]=>111100=>60
[5,6,4,7,1,2,3]=>100100=>36
[5,6,4,7,1,3,2]=>110100=>52
[5,6,4,7,2,1,3]=>110100=>52
[5,6,4,7,2,3,1]=>110100=>52
[5,6,4,7,3,1,2]=>101100=>44
[5,6,4,7,3,2,1]=>111100=>60
[5,6,7,1,2,3,4]=>100000=>32
[5,6,7,1,2,4,3]=>101000=>40
[5,6,7,1,3,2,4]=>110000=>48
[5,6,7,1,3,4,2]=>110000=>48
[5,6,7,1,4,2,3]=>110000=>48
[5,6,7,1,4,3,2]=>111000=>56
[5,6,7,2,1,3,4]=>110000=>48
[5,6,7,2,1,4,3]=>111000=>56
[5,6,7,2,3,1,4]=>110000=>48
[5,6,7,2,3,4,1]=>110000=>48
[5,6,7,2,4,1,3]=>110000=>48
[5,6,7,2,4,3,1]=>111000=>56
[5,6,7,3,1,2,4]=>101000=>40
[5,6,7,3,1,4,2]=>111000=>56
[5,6,7,3,2,1,4]=>111000=>56
[5,6,7,3,2,4,1]=>111000=>56
[5,6,7,3,4,1,2]=>101000=>40
[5,6,7,3,4,2,1]=>111000=>56
[5,6,7,4,1,2,3]=>100100=>36
[5,6,7,4,1,3,2]=>110100=>52
[5,6,7,4,2,1,3]=>110100=>52
[5,6,7,4,2,3,1]=>110100=>52
[5,6,7,4,3,1,2]=>101100=>44
[5,6,7,4,3,2,1]=>111100=>60
[5,7,1,2,3,4,6]=>100000=>32
[5,7,1,2,3,6,4]=>100100=>36
[5,7,1,2,4,3,6]=>101000=>40
[5,7,1,2,4,6,3]=>101000=>40
[5,7,1,2,6,3,4]=>101000=>40
[5,7,1,2,6,4,3]=>101100=>44
[5,7,1,3,2,4,6]=>110000=>48
[5,7,1,3,2,6,4]=>110100=>52
[5,7,1,3,4,2,6]=>110000=>48
[5,7,1,3,4,6,2]=>110000=>48
[5,7,1,3,6,2,4]=>110000=>48
[5,7,1,3,6,4,2]=>110100=>52
[5,7,1,4,2,3,6]=>110000=>48
[5,7,1,4,2,6,3]=>111000=>56
[5,7,1,4,3,2,6]=>111000=>56
[5,7,1,4,3,6,2]=>111000=>56
[5,7,1,4,6,2,3]=>110000=>48
[5,7,1,4,6,3,2]=>111000=>56
[5,7,1,6,2,3,4]=>110000=>48
[5,7,1,6,2,4,3]=>111000=>56
[5,7,1,6,3,2,4]=>111000=>56
[5,7,1,6,3,4,2]=>111000=>56
[5,7,1,6,4,2,3]=>110100=>52
[5,7,1,6,4,3,2]=>111100=>60
[5,7,2,1,3,4,6]=>110000=>48
[5,7,2,1,3,6,4]=>110100=>52
[5,7,2,1,4,3,6]=>111000=>56
[5,7,2,1,4,6,3]=>111000=>56
[5,7,2,1,6,3,4]=>111000=>56
[5,7,2,1,6,4,3]=>111100=>60
[5,7,2,3,1,4,6]=>110000=>48
[5,7,2,3,1,6,4]=>110100=>52
[5,7,2,3,4,1,6]=>110000=>48
[5,7,2,3,4,6,1]=>110000=>48
[5,7,2,3,6,1,4]=>110000=>48
[5,7,2,3,6,4,1]=>110100=>52
[5,7,2,4,1,3,6]=>110000=>48
[5,7,2,4,1,6,3]=>111000=>56
[5,7,2,4,3,1,6]=>111000=>56
[5,7,2,4,3,6,1]=>111000=>56
[5,7,2,4,6,1,3]=>110000=>48
[5,7,2,4,6,3,1]=>111000=>56
[5,7,2,6,1,3,4]=>110000=>48
[5,7,2,6,1,4,3]=>111000=>56
[5,7,2,6,3,1,4]=>111000=>56
[5,7,2,6,3,4,1]=>111000=>56
[5,7,2,6,4,1,3]=>110100=>52
[5,7,2,6,4,3,1]=>111100=>60
[5,7,3,1,2,4,6]=>101000=>40
[5,7,3,1,2,6,4]=>101100=>44
[5,7,3,1,4,2,6]=>111000=>56
[5,7,3,1,4,6,2]=>111000=>56
[5,7,3,1,6,2,4]=>111000=>56
[5,7,3,1,6,4,2]=>111100=>60
[5,7,3,2,1,4,6]=>111000=>56
[5,7,3,2,1,6,4]=>111100=>60
[5,7,3,2,4,1,6]=>111000=>56
[5,7,3,2,4,6,1]=>111000=>56
[5,7,3,2,6,1,4]=>111000=>56
[5,7,3,2,6,4,1]=>111100=>60
[5,7,3,4,1,2,6]=>101000=>40
[5,7,3,4,1,6,2]=>111000=>56
[5,7,3,4,2,1,6]=>111000=>56
[5,7,3,4,2,6,1]=>111000=>56
[5,7,3,4,6,1,2]=>101000=>40
[5,7,3,4,6,2,1]=>111000=>56
[5,7,3,6,1,2,4]=>101000=>40
[5,7,3,6,1,4,2]=>111000=>56
[5,7,3,6,2,1,4]=>111000=>56
[5,7,3,6,2,4,1]=>111000=>56
[5,7,3,6,4,1,2]=>101100=>44
[5,7,3,6,4,2,1]=>111100=>60
[5,7,4,1,2,3,6]=>100100=>36
[5,7,4,1,2,6,3]=>101100=>44
[5,7,4,1,3,2,6]=>110100=>52
[5,7,4,1,3,6,2]=>110100=>52
[5,7,4,1,6,2,3]=>110100=>52
[5,7,4,1,6,3,2]=>111100=>60
[5,7,4,2,1,3,6]=>110100=>52
[5,7,4,2,1,6,3]=>111100=>60
[5,7,4,2,3,1,6]=>110100=>52
[5,7,4,2,3,6,1]=>110100=>52
[5,7,4,2,6,1,3]=>110100=>52
[5,7,4,2,6,3,1]=>111100=>60
[5,7,4,3,1,2,6]=>101100=>44
[5,7,4,3,1,6,2]=>111100=>60
[5,7,4,3,2,1,6]=>111100=>60
[5,7,4,3,2,6,1]=>111100=>60
[5,7,4,3,6,1,2]=>101100=>44
[5,7,4,3,6,2,1]=>111100=>60
[5,7,4,6,1,2,3]=>100100=>36
[5,7,4,6,1,3,2]=>110100=>52
[5,7,4,6,2,1,3]=>110100=>52
[5,7,4,6,2,3,1]=>110100=>52
[5,7,4,6,3,1,2]=>101100=>44
[5,7,4,6,3,2,1]=>111100=>60
[5,7,6,1,2,3,4]=>100001=>33
[5,7,6,1,2,4,3]=>101001=>41
[5,7,6,1,3,2,4]=>110001=>49
[5,7,6,1,3,4,2]=>110001=>49
[5,7,6,1,4,2,3]=>110001=>49
[5,7,6,1,4,3,2]=>111001=>57
[5,7,6,2,1,3,4]=>110001=>49
[5,7,6,2,1,4,3]=>111001=>57
[5,7,6,2,3,1,4]=>110001=>49
[5,7,6,2,3,4,1]=>110001=>49
[5,7,6,2,4,1,3]=>110001=>49
[5,7,6,2,4,3,1]=>111001=>57
[5,7,6,3,1,2,4]=>101001=>41
[5,7,6,3,1,4,2]=>111001=>57
[5,7,6,3,2,1,4]=>111001=>57
[5,7,6,3,2,4,1]=>111001=>57
[5,7,6,3,4,1,2]=>101001=>41
[5,7,6,3,4,2,1]=>111001=>57
[5,7,6,4,1,2,3]=>100101=>37
[5,7,6,4,1,3,2]=>110101=>53
[5,7,6,4,2,1,3]=>110101=>53
[5,7,6,4,2,3,1]=>110101=>53
[5,7,6,4,3,1,2]=>101101=>45
[5,7,6,4,3,2,1]=>111101=>61
[6,1,2,3,4,5,7]=>100000=>32
[6,1,2,3,4,7,5]=>100010=>34
[6,1,2,3,5,4,7]=>100100=>36
[6,1,2,3,5,7,4]=>100100=>36
[6,1,2,3,7,4,5]=>100100=>36
[6,1,2,3,7,5,4]=>100110=>38
[6,1,2,4,3,5,7]=>101000=>40
[6,1,2,4,3,7,5]=>101010=>42
[6,1,2,4,5,3,7]=>101000=>40
[6,1,2,4,5,7,3]=>101000=>40
[6,1,2,4,7,3,5]=>101000=>40
[6,1,2,4,7,5,3]=>101010=>42
[6,1,2,5,3,4,7]=>101000=>40
[6,1,2,5,3,7,4]=>101100=>44
[6,1,2,5,4,3,7]=>101100=>44
[6,1,2,5,4,7,3]=>101100=>44
[6,1,2,5,7,3,4]=>101000=>40
[6,1,2,5,7,4,3]=>101100=>44
[6,1,2,7,3,4,5]=>101000=>40
[6,1,2,7,3,5,4]=>101100=>44
[6,1,2,7,4,3,5]=>101100=>44
[6,1,2,7,4,5,3]=>101100=>44
[6,1,2,7,5,3,4]=>101010=>42
[6,1,2,7,5,4,3]=>101110=>46
[6,1,3,2,4,5,7]=>110000=>48
[6,1,3,2,4,7,5]=>110010=>50
[6,1,3,2,5,4,7]=>110100=>52
[6,1,3,2,5,7,4]=>110100=>52
[6,1,3,2,7,4,5]=>110100=>52
[6,1,3,2,7,5,4]=>110110=>54
[6,1,3,4,2,5,7]=>110000=>48
[6,1,3,4,2,7,5]=>110010=>50
[6,1,3,4,5,2,7]=>110000=>48
[6,1,3,4,5,7,2]=>110000=>48
[6,1,3,4,7,2,5]=>110000=>48
[6,1,3,4,7,5,2]=>110010=>50
[6,1,3,5,2,4,7]=>110000=>48
[6,1,3,5,2,7,4]=>110100=>52
[6,1,3,5,4,2,7]=>110100=>52
[6,1,3,5,4,7,2]=>110100=>52
[6,1,3,5,7,2,4]=>110000=>48
[6,1,3,5,7,4,2]=>110100=>52
[6,1,3,7,2,4,5]=>110000=>48
[6,1,3,7,2,5,4]=>110100=>52
[6,1,3,7,4,2,5]=>110100=>52
[6,1,3,7,4,5,2]=>110100=>52
[6,1,3,7,5,2,4]=>110010=>50
[6,1,3,7,5,4,2]=>110110=>54
[6,1,4,2,3,5,7]=>110000=>48
[6,1,4,2,3,7,5]=>110010=>50
[6,1,4,2,5,3,7]=>111000=>56
[6,1,4,2,5,7,3]=>111000=>56
[6,1,4,2,7,3,5]=>111000=>56
[6,1,4,2,7,5,3]=>111010=>58
[6,1,4,3,2,5,7]=>111000=>56
[6,1,4,3,2,7,5]=>111010=>58
[6,1,4,3,5,2,7]=>111000=>56
[6,1,4,3,5,7,2]=>111000=>56
[6,1,4,3,7,2,5]=>111000=>56
[6,1,4,3,7,5,2]=>111010=>58
[6,1,4,5,2,3,7]=>110000=>48
[6,1,4,5,2,7,3]=>111000=>56
[6,1,4,5,3,2,7]=>111000=>56
[6,1,4,5,3,7,2]=>111000=>56
[6,1,4,5,7,2,3]=>110000=>48
[6,1,4,5,7,3,2]=>111000=>56
[6,1,4,7,2,3,5]=>110000=>48
[6,1,4,7,2,5,3]=>111000=>56
[6,1,4,7,3,2,5]=>111000=>56
[6,1,4,7,3,5,2]=>111000=>56
[6,1,4,7,5,2,3]=>110010=>50
[6,1,4,7,5,3,2]=>111010=>58
[6,1,5,2,3,4,7]=>110000=>48
[6,1,5,2,3,7,4]=>110100=>52
[6,1,5,2,4,3,7]=>111000=>56
[6,1,5,2,4,7,3]=>111000=>56
[6,1,5,2,7,3,4]=>111000=>56
[6,1,5,2,7,4,3]=>111100=>60
[6,1,5,3,2,4,7]=>111000=>56
[6,1,5,3,2,7,4]=>111100=>60
[6,1,5,3,4,2,7]=>111000=>56
[6,1,5,3,4,7,2]=>111000=>56
[6,1,5,3,7,2,4]=>111000=>56
[6,1,5,3,7,4,2]=>111100=>60
[6,1,5,4,2,3,7]=>110100=>52
[6,1,5,4,2,7,3]=>111100=>60
[6,1,5,4,3,2,7]=>111100=>60
[6,1,5,4,3,7,2]=>111100=>60
[6,1,5,4,7,2,3]=>110100=>52
[6,1,5,4,7,3,2]=>111100=>60
[6,1,5,7,2,3,4]=>110000=>48
[6,1,5,7,2,4,3]=>111000=>56
[6,1,5,7,3,2,4]=>111000=>56
[6,1,5,7,3,4,2]=>111000=>56
[6,1,5,7,4,2,3]=>110100=>52
[6,1,5,7,4,3,2]=>111100=>60
[6,1,7,2,3,4,5]=>110000=>48
[6,1,7,2,3,5,4]=>110100=>52
[6,1,7,2,4,3,5]=>111000=>56
[6,1,7,2,4,5,3]=>111000=>56
[6,1,7,2,5,3,4]=>111000=>56
[6,1,7,2,5,4,3]=>111100=>60
[6,1,7,3,2,4,5]=>111000=>56
[6,1,7,3,2,5,4]=>111100=>60
[6,1,7,3,4,2,5]=>111000=>56
[6,1,7,3,4,5,2]=>111000=>56
[6,1,7,3,5,2,4]=>111000=>56
[6,1,7,3,5,4,2]=>111100=>60
[6,1,7,4,2,3,5]=>110100=>52
[6,1,7,4,2,5,3]=>111100=>60
[6,1,7,4,3,2,5]=>111100=>60
[6,1,7,4,3,5,2]=>111100=>60
[6,1,7,4,5,2,3]=>110100=>52
[6,1,7,4,5,3,2]=>111100=>60
[6,1,7,5,2,3,4]=>110010=>50
[6,1,7,5,2,4,3]=>111010=>58
[6,1,7,5,3,2,4]=>111010=>58
[6,1,7,5,3,4,2]=>111010=>58
[6,1,7,5,4,2,3]=>110110=>54
[6,1,7,5,4,3,2]=>111110=>62
[6,2,1,3,4,5,7]=>110000=>48
[6,2,1,3,4,7,5]=>110010=>50
[6,2,1,3,5,4,7]=>110100=>52
[6,2,1,3,5,7,4]=>110100=>52
[6,2,1,3,7,4,5]=>110100=>52
[6,2,1,3,7,5,4]=>110110=>54
[6,2,1,4,3,5,7]=>111000=>56
[6,2,1,4,3,7,5]=>111010=>58
[6,2,1,4,5,3,7]=>111000=>56
[6,2,1,4,5,7,3]=>111000=>56
[6,2,1,4,7,3,5]=>111000=>56
[6,2,1,4,7,5,3]=>111010=>58
[6,2,1,5,3,4,7]=>111000=>56
[6,2,1,5,3,7,4]=>111100=>60
[6,2,1,5,4,3,7]=>111100=>60
[6,2,1,5,4,7,3]=>111100=>60
[6,2,1,5,7,3,4]=>111000=>56
[6,2,1,5,7,4,3]=>111100=>60
[6,2,1,7,3,4,5]=>111000=>56
[6,2,1,7,3,5,4]=>111100=>60
[6,2,1,7,4,3,5]=>111100=>60
[6,2,1,7,4,5,3]=>111100=>60
[6,2,1,7,5,3,4]=>111010=>58
[6,2,1,7,5,4,3]=>111110=>62
[6,2,3,1,4,5,7]=>110000=>48
[6,2,3,1,4,7,5]=>110010=>50
[6,2,3,1,5,4,7]=>110100=>52
[6,2,3,1,5,7,4]=>110100=>52
[6,2,3,1,7,4,5]=>110100=>52
[6,2,3,1,7,5,4]=>110110=>54
[6,2,3,4,1,5,7]=>110000=>48
[6,2,3,4,1,7,5]=>110010=>50
[6,2,3,4,5,1,7]=>110000=>48
[6,2,3,4,5,7,1]=>110000=>48
[6,2,3,4,7,1,5]=>110000=>48
[6,2,3,4,7,5,1]=>110010=>50
[6,2,3,5,1,4,7]=>110000=>48
[6,2,3,5,1,7,4]=>110100=>52
[6,2,3,5,4,1,7]=>110100=>52
[6,2,3,5,4,7,1]=>110100=>52
[6,2,3,5,7,1,4]=>110000=>48
[6,2,3,5,7,4,1]=>110100=>52
[6,2,3,7,1,4,5]=>110000=>48
[6,2,3,7,1,5,4]=>110100=>52
[6,2,3,7,4,1,5]=>110100=>52
[6,2,3,7,4,5,1]=>110100=>52
[6,2,3,7,5,1,4]=>110010=>50
[6,2,3,7,5,4,1]=>110110=>54
[6,2,4,1,3,5,7]=>110000=>48
[6,2,4,1,3,7,5]=>110010=>50
[6,2,4,1,5,3,7]=>111000=>56
[6,2,4,1,5,7,3]=>111000=>56
[6,2,4,1,7,3,5]=>111000=>56
[6,2,4,1,7,5,3]=>111010=>58
[6,2,4,3,1,5,7]=>111000=>56
[6,2,4,3,1,7,5]=>111010=>58
[6,2,4,3,5,1,7]=>111000=>56
[6,2,4,3,5,7,1]=>111000=>56
[6,2,4,3,7,1,5]=>111000=>56
[6,2,4,3,7,5,1]=>111010=>58
[6,2,4,5,1,3,7]=>110000=>48
[6,2,4,5,1,7,3]=>111000=>56
[6,2,4,5,3,1,7]=>111000=>56
[6,2,4,5,3,7,1]=>111000=>56
[6,2,4,5,7,1,3]=>110000=>48
[6,2,4,5,7,3,1]=>111000=>56
[6,2,4,7,1,3,5]=>110000=>48
[6,2,4,7,1,5,3]=>111000=>56
[6,2,4,7,3,1,5]=>111000=>56
[6,2,4,7,3,5,1]=>111000=>56
[6,2,4,7,5,1,3]=>110010=>50
[6,2,4,7,5,3,1]=>111010=>58
[6,2,5,1,3,4,7]=>110000=>48
[6,2,5,1,3,7,4]=>110100=>52
[6,2,5,1,4,3,7]=>111000=>56
[6,2,5,1,4,7,3]=>111000=>56
[6,2,5,1,7,3,4]=>111000=>56
[6,2,5,1,7,4,3]=>111100=>60
[6,2,5,3,1,4,7]=>111000=>56
[6,2,5,3,1,7,4]=>111100=>60
[6,2,5,3,4,1,7]=>111000=>56
[6,2,5,3,4,7,1]=>111000=>56
[6,2,5,3,7,1,4]=>111000=>56
[6,2,5,3,7,4,1]=>111100=>60
[6,2,5,4,1,3,7]=>110100=>52
[6,2,5,4,1,7,3]=>111100=>60
[6,2,5,4,3,1,7]=>111100=>60
[6,2,5,4,3,7,1]=>111100=>60
[6,2,5,4,7,1,3]=>110100=>52
[6,2,5,4,7,3,1]=>111100=>60
[6,2,5,7,1,3,4]=>110000=>48
[6,2,5,7,1,4,3]=>111000=>56
[6,2,5,7,3,1,4]=>111000=>56
[6,2,5,7,3,4,1]=>111000=>56
[6,2,5,7,4,1,3]=>110100=>52
[6,2,5,7,4,3,1]=>111100=>60
[6,2,7,1,3,4,5]=>110000=>48
[6,2,7,1,3,5,4]=>110100=>52
[6,2,7,1,4,3,5]=>111000=>56
[6,2,7,1,4,5,3]=>111000=>56
[6,2,7,1,5,3,4]=>111000=>56
[6,2,7,1,5,4,3]=>111100=>60
[6,2,7,3,1,4,5]=>111000=>56
[6,2,7,3,1,5,4]=>111100=>60
[6,2,7,3,4,1,5]=>111000=>56
[6,2,7,3,4,5,1]=>111000=>56
[6,2,7,3,5,1,4]=>111000=>56
[6,2,7,3,5,4,1]=>111100=>60
[6,2,7,4,1,3,5]=>110100=>52
[6,2,7,4,1,5,3]=>111100=>60
[6,2,7,4,3,1,5]=>111100=>60
[6,2,7,4,3,5,1]=>111100=>60
[6,2,7,4,5,1,3]=>110100=>52
[6,2,7,4,5,3,1]=>111100=>60
[6,2,7,5,1,3,4]=>110010=>50
[6,2,7,5,1,4,3]=>111010=>58
[6,2,7,5,3,1,4]=>111010=>58
[6,2,7,5,3,4,1]=>111010=>58
[6,2,7,5,4,1,3]=>110110=>54
[6,2,7,5,4,3,1]=>111110=>62
[6,3,1,2,4,5,7]=>101000=>40
[6,3,1,2,4,7,5]=>101010=>42
[6,3,1,2,5,4,7]=>101100=>44
[6,3,1,2,5,7,4]=>101100=>44
[6,3,1,2,7,4,5]=>101100=>44
[6,3,1,2,7,5,4]=>101110=>46
[6,3,1,4,2,5,7]=>111000=>56
[6,3,1,4,2,7,5]=>111010=>58
[6,3,1,4,5,2,7]=>111000=>56
[6,3,1,4,5,7,2]=>111000=>56
[6,3,1,4,7,2,5]=>111000=>56
[6,3,1,4,7,5,2]=>111010=>58
[6,3,1,5,2,4,7]=>111000=>56
[6,3,1,5,2,7,4]=>111100=>60
[6,3,1,5,4,2,7]=>111100=>60
[6,3,1,5,4,7,2]=>111100=>60
[6,3,1,5,7,2,4]=>111000=>56
[6,3,1,5,7,4,2]=>111100=>60
[6,3,1,7,2,4,5]=>111000=>56
[6,3,1,7,2,5,4]=>111100=>60
[6,3,1,7,4,2,5]=>111100=>60
[6,3,1,7,4,5,2]=>111100=>60
[6,3,1,7,5,2,4]=>111010=>58
[6,3,1,7,5,4,2]=>111110=>62
[6,3,2,1,4,5,7]=>111000=>56
[6,3,2,1,4,7,5]=>111010=>58
[6,3,2,1,5,4,7]=>111100=>60
[6,3,2,1,5,7,4]=>111100=>60
[6,3,2,1,7,4,5]=>111100=>60
[6,3,2,1,7,5,4]=>111110=>62
[6,3,2,4,1,5,7]=>111000=>56
[6,3,2,4,1,7,5]=>111010=>58
[6,3,2,4,5,1,7]=>111000=>56
[6,3,2,4,5,7,1]=>111000=>56
[6,3,2,4,7,1,5]=>111000=>56
[6,3,2,4,7,5,1]=>111010=>58
[6,3,2,5,1,4,7]=>111000=>56
[6,3,2,5,1,7,4]=>111100=>60
[6,3,2,5,4,1,7]=>111100=>60
[6,3,2,5,4,7,1]=>111100=>60
[6,3,2,5,7,1,4]=>111000=>56
[6,3,2,5,7,4,1]=>111100=>60
[6,3,2,7,1,4,5]=>111000=>56
[6,3,2,7,1,5,4]=>111100=>60
[6,3,2,7,4,1,5]=>111100=>60
[6,3,2,7,4,5,1]=>111100=>60
[6,3,2,7,5,1,4]=>111010=>58
[6,3,2,7,5,4,1]=>111110=>62
[6,3,4,1,2,5,7]=>101000=>40
[6,3,4,1,2,7,5]=>101010=>42
[6,3,4,1,5,2,7]=>111000=>56
[6,3,4,1,5,7,2]=>111000=>56
[6,3,4,1,7,2,5]=>111000=>56
[6,3,4,1,7,5,2]=>111010=>58
[6,3,4,2,1,5,7]=>111000=>56
[6,3,4,2,1,7,5]=>111010=>58
[6,3,4,2,5,1,7]=>111000=>56
[6,3,4,2,5,7,1]=>111000=>56
[6,3,4,2,7,1,5]=>111000=>56
[6,3,4,2,7,5,1]=>111010=>58
[6,3,4,5,1,2,7]=>101000=>40
[6,3,4,5,1,7,2]=>111000=>56
[6,3,4,5,2,1,7]=>111000=>56
[6,3,4,5,2,7,1]=>111000=>56
[6,3,4,5,7,1,2]=>101000=>40
[6,3,4,5,7,2,1]=>111000=>56
[6,3,4,7,1,2,5]=>101000=>40
[6,3,4,7,1,5,2]=>111000=>56
[6,3,4,7,2,1,5]=>111000=>56
[6,3,4,7,2,5,1]=>111000=>56
[6,3,4,7,5,1,2]=>101010=>42
[6,3,4,7,5,2,1]=>111010=>58
[6,3,5,1,2,4,7]=>101000=>40
[6,3,5,1,2,7,4]=>101100=>44
[6,3,5,1,4,2,7]=>111000=>56
[6,3,5,1,4,7,2]=>111000=>56
[6,3,5,1,7,2,4]=>111000=>56
[6,3,5,1,7,4,2]=>111100=>60
[6,3,5,2,1,4,7]=>111000=>56
[6,3,5,2,1,7,4]=>111100=>60
[6,3,5,2,4,1,7]=>111000=>56
[6,3,5,2,4,7,1]=>111000=>56
[6,3,5,2,7,1,4]=>111000=>56
[6,3,5,2,7,4,1]=>111100=>60
[6,3,5,4,1,2,7]=>101100=>44
[6,3,5,4,1,7,2]=>111100=>60
[6,3,5,4,2,1,7]=>111100=>60
[6,3,5,4,2,7,1]=>111100=>60
[6,3,5,4,7,1,2]=>101100=>44
[6,3,5,4,7,2,1]=>111100=>60
[6,3,5,7,1,2,4]=>101000=>40
[6,3,5,7,1,4,2]=>111000=>56
[6,3,5,7,2,1,4]=>111000=>56
[6,3,5,7,2,4,1]=>111000=>56
[6,3,5,7,4,1,2]=>101100=>44
[6,3,5,7,4,2,1]=>111100=>60
[6,3,7,1,2,4,5]=>101000=>40
[6,3,7,1,2,5,4]=>101100=>44
[6,3,7,1,4,2,5]=>111000=>56
[6,3,7,1,4,5,2]=>111000=>56
[6,3,7,1,5,2,4]=>111000=>56
[6,3,7,1,5,4,2]=>111100=>60
[6,3,7,2,1,4,5]=>111000=>56
[6,3,7,2,1,5,4]=>111100=>60
[6,3,7,2,4,1,5]=>111000=>56
[6,3,7,2,4,5,1]=>111000=>56
[6,3,7,2,5,1,4]=>111000=>56
[6,3,7,2,5,4,1]=>111100=>60
[6,3,7,4,1,2,5]=>101100=>44
[6,3,7,4,1,5,2]=>111100=>60
[6,3,7,4,2,1,5]=>111100=>60
[6,3,7,4,2,5,1]=>111100=>60
[6,3,7,4,5,1,2]=>101100=>44
[6,3,7,4,5,2,1]=>111100=>60
[6,3,7,5,1,2,4]=>101010=>42
[6,3,7,5,1,4,2]=>111010=>58
[6,3,7,5,2,1,4]=>111010=>58
[6,3,7,5,2,4,1]=>111010=>58
[6,3,7,5,4,1,2]=>101110=>46
[6,3,7,5,4,2,1]=>111110=>62
[6,4,1,2,3,5,7]=>100100=>36
[6,4,1,2,3,7,5]=>100110=>38
[6,4,1,2,5,3,7]=>101100=>44
[6,4,1,2,5,7,3]=>101100=>44
[6,4,1,2,7,3,5]=>101100=>44
[6,4,1,2,7,5,3]=>101110=>46
[6,4,1,3,2,5,7]=>110100=>52
[6,4,1,3,2,7,5]=>110110=>54
[6,4,1,3,5,2,7]=>110100=>52
[6,4,1,3,5,7,2]=>110100=>52
[6,4,1,3,7,2,5]=>110100=>52
[6,4,1,3,7,5,2]=>110110=>54
[6,4,1,5,2,3,7]=>110100=>52
[6,4,1,5,2,7,3]=>111100=>60
[6,4,1,5,3,2,7]=>111100=>60
[6,4,1,5,3,7,2]=>111100=>60
[6,4,1,5,7,2,3]=>110100=>52
[6,4,1,5,7,3,2]=>111100=>60
[6,4,1,7,2,3,5]=>110100=>52
[6,4,1,7,2,5,3]=>111100=>60
[6,4,1,7,3,2,5]=>111100=>60
[6,4,1,7,3,5,2]=>111100=>60
[6,4,1,7,5,2,3]=>110110=>54
[6,4,1,7,5,3,2]=>111110=>62
[6,4,2,1,3,5,7]=>110100=>52
[6,4,2,1,3,7,5]=>110110=>54
[6,4,2,1,5,3,7]=>111100=>60
[6,4,2,1,5,7,3]=>111100=>60
[6,4,2,1,7,3,5]=>111100=>60
[6,4,2,1,7,5,3]=>111110=>62
[6,4,2,3,1,5,7]=>110100=>52
[6,4,2,3,1,7,5]=>110110=>54
[6,4,2,3,5,1,7]=>110100=>52
[6,4,2,3,5,7,1]=>110100=>52
[6,4,2,3,7,1,5]=>110100=>52
[6,4,2,3,7,5,1]=>110110=>54
[6,4,2,5,1,3,7]=>110100=>52
[6,4,2,5,1,7,3]=>111100=>60
[6,4,2,5,3,1,7]=>111100=>60
[6,4,2,5,3,7,1]=>111100=>60
[6,4,2,5,7,1,3]=>110100=>52
[6,4,2,5,7,3,1]=>111100=>60
[6,4,2,7,1,3,5]=>110100=>52
[6,4,2,7,1,5,3]=>111100=>60
[6,4,2,7,3,1,5]=>111100=>60
[6,4,2,7,3,5,1]=>111100=>60
[6,4,2,7,5,1,3]=>110110=>54
[6,4,2,7,5,3,1]=>111110=>62
[6,4,3,1,2,5,7]=>101100=>44
[6,4,3,1,2,7,5]=>101110=>46
[6,4,3,1,5,2,7]=>111100=>60
[6,4,3,1,5,7,2]=>111100=>60
[6,4,3,1,7,2,5]=>111100=>60
[6,4,3,1,7,5,2]=>111110=>62
[6,4,3,2,1,5,7]=>111100=>60
[6,4,3,2,1,7,5]=>111110=>62
[6,4,3,2,5,1,7]=>111100=>60
[6,4,3,2,5,7,1]=>111100=>60
[6,4,3,2,7,1,5]=>111100=>60
[6,4,3,2,7,5,1]=>111110=>62
[6,4,3,5,1,2,7]=>101100=>44
[6,4,3,5,1,7,2]=>111100=>60
[6,4,3,5,2,1,7]=>111100=>60
[6,4,3,5,2,7,1]=>111100=>60
[6,4,3,5,7,1,2]=>101100=>44
[6,4,3,5,7,2,1]=>111100=>60
[6,4,3,7,1,2,5]=>101100=>44
[6,4,3,7,1,5,2]=>111100=>60
[6,4,3,7,2,1,5]=>111100=>60
[6,4,3,7,2,5,1]=>111100=>60
[6,4,3,7,5,1,2]=>101110=>46
[6,4,3,7,5,2,1]=>111110=>62
[6,4,5,1,2,3,7]=>100100=>36
[6,4,5,1,2,7,3]=>101100=>44
[6,4,5,1,3,2,7]=>110100=>52
[6,4,5,1,3,7,2]=>110100=>52
[6,4,5,1,7,2,3]=>110100=>52
[6,4,5,1,7,3,2]=>111100=>60
[6,4,5,2,1,3,7]=>110100=>52
[6,4,5,2,1,7,3]=>111100=>60
[6,4,5,2,3,1,7]=>110100=>52
[6,4,5,2,3,7,1]=>110100=>52
[6,4,5,2,7,1,3]=>110100=>52
[6,4,5,2,7,3,1]=>111100=>60
[6,4,5,3,1,2,7]=>101100=>44
[6,4,5,3,1,7,2]=>111100=>60
[6,4,5,3,2,1,7]=>111100=>60
[6,4,5,3,2,7,1]=>111100=>60
[6,4,5,3,7,1,2]=>101100=>44
[6,4,5,3,7,2,1]=>111100=>60
[6,4,5,7,1,2,3]=>100100=>36
[6,4,5,7,1,3,2]=>110100=>52
[6,4,5,7,2,1,3]=>110100=>52
[6,4,5,7,2,3,1]=>110100=>52
[6,4,5,7,3,1,2]=>101100=>44
[6,4,5,7,3,2,1]=>111100=>60
[6,4,7,1,2,3,5]=>100100=>36
[6,4,7,1,2,5,3]=>101100=>44
[6,4,7,1,3,2,5]=>110100=>52
[6,4,7,1,3,5,2]=>110100=>52
[6,4,7,1,5,2,3]=>110100=>52
[6,4,7,1,5,3,2]=>111100=>60
[6,4,7,2,1,3,5]=>110100=>52
[6,4,7,2,1,5,3]=>111100=>60
[6,4,7,2,3,1,5]=>110100=>52
[6,4,7,2,3,5,1]=>110100=>52
[6,4,7,2,5,1,3]=>110100=>52
[6,4,7,2,5,3,1]=>111100=>60
[6,4,7,3,1,2,5]=>101100=>44
[6,4,7,3,1,5,2]=>111100=>60
[6,4,7,3,2,1,5]=>111100=>60
[6,4,7,3,2,5,1]=>111100=>60
[6,4,7,3,5,1,2]=>101100=>44
[6,4,7,3,5,2,1]=>111100=>60
[6,4,7,5,1,2,3]=>100110=>38
[6,4,7,5,1,3,2]=>110110=>54
[6,4,7,5,2,1,3]=>110110=>54
[6,4,7,5,2,3,1]=>110110=>54
[6,4,7,5,3,1,2]=>101110=>46
[6,4,7,5,3,2,1]=>111110=>62
[6,5,1,2,3,4,7]=>100010=>34
[6,5,1,2,3,7,4]=>100110=>38
[6,5,1,2,4,3,7]=>101010=>42
[6,5,1,2,4,7,3]=>101010=>42
[6,5,1,2,7,3,4]=>101010=>42
[6,5,1,2,7,4,3]=>101110=>46
[6,5,1,3,2,4,7]=>110010=>50
[6,5,1,3,2,7,4]=>110110=>54
[6,5,1,3,4,2,7]=>110010=>50
[6,5,1,3,4,7,2]=>110010=>50
[6,5,1,3,7,2,4]=>110010=>50
[6,5,1,3,7,4,2]=>110110=>54
[6,5,1,4,2,3,7]=>110010=>50
[6,5,1,4,2,7,3]=>111010=>58
[6,5,1,4,3,2,7]=>111010=>58
[6,5,1,4,3,7,2]=>111010=>58
[6,5,1,4,7,2,3]=>110010=>50
[6,5,1,4,7,3,2]=>111010=>58
[6,5,1,7,2,3,4]=>110010=>50
[6,5,1,7,2,4,3]=>111010=>58
[6,5,1,7,3,2,4]=>111010=>58
[6,5,1,7,3,4,2]=>111010=>58
[6,5,1,7,4,2,3]=>110110=>54
[6,5,1,7,4,3,2]=>111110=>62
[6,5,2,1,3,4,7]=>110010=>50
[6,5,2,1,3,7,4]=>110110=>54
[6,5,2,1,4,3,7]=>111010=>58
[6,5,2,1,4,7,3]=>111010=>58
[6,5,2,1,7,3,4]=>111010=>58
[6,5,2,1,7,4,3]=>111110=>62
[6,5,2,3,1,4,7]=>110010=>50
[6,5,2,3,1,7,4]=>110110=>54
[6,5,2,3,4,1,7]=>110010=>50
[6,5,2,3,4,7,1]=>110010=>50
[6,5,2,3,7,1,4]=>110010=>50
[6,5,2,3,7,4,1]=>110110=>54
[6,5,2,4,1,3,7]=>110010=>50
[6,5,2,4,1,7,3]=>111010=>58
[6,5,2,4,3,1,7]=>111010=>58
[6,5,2,4,3,7,1]=>111010=>58
[6,5,2,4,7,1,3]=>110010=>50
[6,5,2,4,7,3,1]=>111010=>58
[6,5,2,7,1,3,4]=>110010=>50
[6,5,2,7,1,4,3]=>111010=>58
[6,5,2,7,3,1,4]=>111010=>58
[6,5,2,7,3,4,1]=>111010=>58
[6,5,2,7,4,1,3]=>110110=>54
[6,5,2,7,4,3,1]=>111110=>62
[6,5,3,1,2,4,7]=>101010=>42
[6,5,3,1,2,7,4]=>101110=>46
[6,5,3,1,4,2,7]=>111010=>58
[6,5,3,1,4,7,2]=>111010=>58
[6,5,3,1,7,2,4]=>111010=>58
[6,5,3,1,7,4,2]=>111110=>62
[6,5,3,2,1,4,7]=>111010=>58
[6,5,3,2,1,7,4]=>111110=>62
[6,5,3,2,4,1,7]=>111010=>58
[6,5,3,2,4,7,1]=>111010=>58
[6,5,3,2,7,1,4]=>111010=>58
[6,5,3,2,7,4,1]=>111110=>62
[6,5,3,4,1,2,7]=>101010=>42
[6,5,3,4,1,7,2]=>111010=>58
[6,5,3,4,2,1,7]=>111010=>58
[6,5,3,4,2,7,1]=>111010=>58
[6,5,3,4,7,1,2]=>101010=>42
[6,5,3,4,7,2,1]=>111010=>58
[6,5,3,7,1,2,4]=>101010=>42
[6,5,3,7,1,4,2]=>111010=>58
[6,5,3,7,2,1,4]=>111010=>58
[6,5,3,7,2,4,1]=>111010=>58
[6,5,3,7,4,1,2]=>101110=>46
[6,5,3,7,4,2,1]=>111110=>62
[6,5,4,1,2,3,7]=>100110=>38
[6,5,4,1,2,7,3]=>101110=>46
[6,5,4,1,3,2,7]=>110110=>54
[6,5,4,1,3,7,2]=>110110=>54
[6,5,4,1,7,2,3]=>110110=>54
[6,5,4,1,7,3,2]=>111110=>62
[6,5,4,2,1,3,7]=>110110=>54
[6,5,4,2,1,7,3]=>111110=>62
[6,5,4,2,3,1,7]=>110110=>54
[6,5,4,2,3,7,1]=>110110=>54
[6,5,4,2,7,1,3]=>110110=>54
[6,5,4,2,7,3,1]=>111110=>62
[6,5,4,3,1,2,7]=>101110=>46
[6,5,4,3,1,7,2]=>111110=>62
[6,5,4,3,2,1,7]=>111110=>62
[6,5,4,3,2,7,1]=>111110=>62
[6,5,4,3,7,1,2]=>101110=>46
[6,5,4,3,7,2,1]=>111110=>62
[6,5,4,7,1,2,3]=>100110=>38
[6,5,4,7,1,3,2]=>110110=>54
[6,5,4,7,2,1,3]=>110110=>54
[6,5,4,7,2,3,1]=>110110=>54
[6,5,4,7,3,1,2]=>101110=>46
[6,5,4,7,3,2,1]=>111110=>62
[6,5,7,1,2,3,4]=>100010=>34
[6,5,7,1,2,4,3]=>101010=>42
[6,5,7,1,3,2,4]=>110010=>50
[6,5,7,1,3,4,2]=>110010=>50
[6,5,7,1,4,2,3]=>110010=>50
[6,5,7,1,4,3,2]=>111010=>58
[6,5,7,2,1,3,4]=>110010=>50
[6,5,7,2,1,4,3]=>111010=>58
[6,5,7,2,3,1,4]=>110010=>50
[6,5,7,2,3,4,1]=>110010=>50
[6,5,7,2,4,1,3]=>110010=>50
[6,5,7,2,4,3,1]=>111010=>58
[6,5,7,3,1,2,4]=>101010=>42
[6,5,7,3,1,4,2]=>111010=>58
[6,5,7,3,2,1,4]=>111010=>58
[6,5,7,3,2,4,1]=>111010=>58
[6,5,7,3,4,1,2]=>101010=>42
[6,5,7,3,4,2,1]=>111010=>58
[6,5,7,4,1,2,3]=>100110=>38
[6,5,7,4,1,3,2]=>110110=>54
[6,5,7,4,2,1,3]=>110110=>54
[6,5,7,4,2,3,1]=>110110=>54
[6,5,7,4,3,1,2]=>101110=>46
[6,5,7,4,3,2,1]=>111110=>62
[6,7,1,2,3,4,5]=>100000=>32
[6,7,1,2,3,5,4]=>100100=>36
[6,7,1,2,4,3,5]=>101000=>40
[6,7,1,2,4,5,3]=>101000=>40
[6,7,1,2,5,3,4]=>101000=>40
[6,7,1,2,5,4,3]=>101100=>44
[6,7,1,3,2,4,5]=>110000=>48
[6,7,1,3,2,5,4]=>110100=>52
[6,7,1,3,4,2,5]=>110000=>48
[6,7,1,3,4,5,2]=>110000=>48
[6,7,1,3,5,2,4]=>110000=>48
[6,7,1,3,5,4,2]=>110100=>52
[6,7,1,4,2,3,5]=>110000=>48
[6,7,1,4,2,5,3]=>111000=>56
[6,7,1,4,3,2,5]=>111000=>56
[6,7,1,4,3,5,2]=>111000=>56
[6,7,1,4,5,2,3]=>110000=>48
[6,7,1,4,5,3,2]=>111000=>56
[6,7,1,5,2,3,4]=>110000=>48
[6,7,1,5,2,4,3]=>111000=>56
[6,7,1,5,3,2,4]=>111000=>56
[6,7,1,5,3,4,2]=>111000=>56
[6,7,1,5,4,2,3]=>110100=>52
[6,7,1,5,4,3,2]=>111100=>60
[6,7,2,1,3,4,5]=>110000=>48
[6,7,2,1,3,5,4]=>110100=>52
[6,7,2,1,4,3,5]=>111000=>56
[6,7,2,1,4,5,3]=>111000=>56
[6,7,2,1,5,3,4]=>111000=>56
[6,7,2,1,5,4,3]=>111100=>60
[6,7,2,3,1,4,5]=>110000=>48
[6,7,2,3,1,5,4]=>110100=>52
[6,7,2,3,4,1,5]=>110000=>48
[6,7,2,3,4,5,1]=>110000=>48
[6,7,2,3,5,1,4]=>110000=>48
[6,7,2,3,5,4,1]=>110100=>52
[6,7,2,4,1,3,5]=>110000=>48
[6,7,2,4,1,5,3]=>111000=>56
[6,7,2,4,3,1,5]=>111000=>56
[6,7,2,4,3,5,1]=>111000=>56
[6,7,2,4,5,1,3]=>110000=>48
[6,7,2,4,5,3,1]=>111000=>56
[6,7,2,5,1,3,4]=>110000=>48
[6,7,2,5,1,4,3]=>111000=>56
[6,7,2,5,3,1,4]=>111000=>56
[6,7,2,5,3,4,1]=>111000=>56
[6,7,2,5,4,1,3]=>110100=>52
[6,7,2,5,4,3,1]=>111100=>60
[6,7,3,1,2,4,5]=>101000=>40
[6,7,3,1,2,5,4]=>101100=>44
[6,7,3,1,4,2,5]=>111000=>56
[6,7,3,1,4,5,2]=>111000=>56
[6,7,3,1,5,2,4]=>111000=>56
[6,7,3,1,5,4,2]=>111100=>60
[6,7,3,2,1,4,5]=>111000=>56
[6,7,3,2,1,5,4]=>111100=>60
[6,7,3,2,4,1,5]=>111000=>56
[6,7,3,2,4,5,1]=>111000=>56
[6,7,3,2,5,1,4]=>111000=>56
[6,7,3,2,5,4,1]=>111100=>60
[6,7,3,4,1,2,5]=>101000=>40
[6,7,3,4,1,5,2]=>111000=>56
[6,7,3,4,2,1,5]=>111000=>56
[6,7,3,4,2,5,1]=>111000=>56
[6,7,3,4,5,1,2]=>101000=>40
[6,7,3,4,5,2,1]=>111000=>56
[6,7,3,5,1,2,4]=>101000=>40
[6,7,3,5,1,4,2]=>111000=>56
[6,7,3,5,2,1,4]=>111000=>56
[6,7,3,5,2,4,1]=>111000=>56
[6,7,3,5,4,1,2]=>101100=>44
[6,7,3,5,4,2,1]=>111100=>60
[6,7,4,1,2,3,5]=>100100=>36
[6,7,4,1,2,5,3]=>101100=>44
[6,7,4,1,3,2,5]=>110100=>52
[6,7,4,1,3,5,2]=>110100=>52
[6,7,4,1,5,2,3]=>110100=>52
[6,7,4,1,5,3,2]=>111100=>60
[6,7,4,2,1,3,5]=>110100=>52
[6,7,4,2,1,5,3]=>111100=>60
[6,7,4,2,3,1,5]=>110100=>52
[6,7,4,2,3,5,1]=>110100=>52
[6,7,4,2,5,1,3]=>110100=>52
[6,7,4,2,5,3,1]=>111100=>60
[6,7,4,3,1,2,5]=>101100=>44
[6,7,4,3,1,5,2]=>111100=>60
[6,7,4,3,2,1,5]=>111100=>60
[6,7,4,3,2,5,1]=>111100=>60
[6,7,4,3,5,1,2]=>101100=>44
[6,7,4,3,5,2,1]=>111100=>60
[6,7,4,5,1,2,3]=>100100=>36
[6,7,4,5,1,3,2]=>110100=>52
[6,7,4,5,2,1,3]=>110100=>52
[6,7,4,5,2,3,1]=>110100=>52
[6,7,4,5,3,1,2]=>101100=>44
[6,7,4,5,3,2,1]=>111100=>60
[6,7,5,1,2,3,4]=>100010=>34
[6,7,5,1,2,4,3]=>101010=>42
[6,7,5,1,3,2,4]=>110010=>50
[6,7,5,1,3,4,2]=>110010=>50
[6,7,5,1,4,2,3]=>110010=>50
[6,7,5,1,4,3,2]=>111010=>58
[6,7,5,2,1,3,4]=>110010=>50
[6,7,5,2,1,4,3]=>111010=>58
[6,7,5,2,3,1,4]=>110010=>50
[6,7,5,2,3,4,1]=>110010=>50
[6,7,5,2,4,1,3]=>110010=>50
[6,7,5,2,4,3,1]=>111010=>58
[6,7,5,3,1,2,4]=>101010=>42
[6,7,5,3,1,4,2]=>111010=>58
[6,7,5,3,2,1,4]=>111010=>58
[6,7,5,3,2,4,1]=>111010=>58
[6,7,5,3,4,1,2]=>101010=>42
[6,7,5,3,4,2,1]=>111010=>58
[6,7,5,4,1,2,3]=>100110=>38
[6,7,5,4,1,3,2]=>110110=>54
[6,7,5,4,2,1,3]=>110110=>54
[6,7,5,4,2,3,1]=>110110=>54
[6,7,5,4,3,1,2]=>101110=>46
[6,7,5,4,3,2,1]=>111110=>62
[7,1,2,3,4,5,6]=>100000=>32
[7,1,2,3,4,6,5]=>100010=>34
[7,1,2,3,5,4,6]=>100100=>36
[7,1,2,3,5,6,4]=>100100=>36
[7,1,2,3,6,4,5]=>100100=>36
[7,1,2,3,6,5,4]=>100110=>38
[7,1,2,4,3,5,6]=>101000=>40
[7,1,2,4,3,6,5]=>101010=>42
[7,1,2,4,5,3,6]=>101000=>40
[7,1,2,4,5,6,3]=>101000=>40
[7,1,2,4,6,3,5]=>101000=>40
[7,1,2,4,6,5,3]=>101010=>42
[7,1,2,5,3,4,6]=>101000=>40
[7,1,2,5,3,6,4]=>101100=>44
[7,1,2,5,4,3,6]=>101100=>44
[7,1,2,5,4,6,3]=>101100=>44
[7,1,2,5,6,3,4]=>101000=>40
[7,1,2,5,6,4,3]=>101100=>44
[7,1,2,6,3,4,5]=>101000=>40
[7,1,2,6,3,5,4]=>101100=>44
[7,1,2,6,4,3,5]=>101100=>44
[7,1,2,6,4,5,3]=>101100=>44
[7,1,2,6,5,3,4]=>101010=>42
[7,1,2,6,5,4,3]=>101110=>46
[7,1,3,2,4,5,6]=>110000=>48
[7,1,3,2,4,6,5]=>110010=>50
[7,1,3,2,5,4,6]=>110100=>52
[7,1,3,2,5,6,4]=>110100=>52
[7,1,3,2,6,4,5]=>110100=>52
[7,1,3,2,6,5,4]=>110110=>54
[7,1,3,4,2,5,6]=>110000=>48
[7,1,3,4,2,6,5]=>110010=>50
[7,1,3,4,5,2,6]=>110000=>48
[7,1,3,4,5,6,2]=>110000=>48
[7,1,3,4,6,2,5]=>110000=>48
[7,1,3,4,6,5,2]=>110010=>50
[7,1,3,5,2,4,6]=>110000=>48
[7,1,3,5,2,6,4]=>110100=>52
[7,1,3,5,4,2,6]=>110100=>52
[7,1,3,5,4,6,2]=>110100=>52
[7,1,3,5,6,2,4]=>110000=>48
[7,1,3,5,6,4,2]=>110100=>52
[7,1,3,6,2,4,5]=>110000=>48
[7,1,3,6,2,5,4]=>110100=>52
[7,1,3,6,4,2,5]=>110100=>52
[7,1,3,6,4,5,2]=>110100=>52
[7,1,3,6,5,2,4]=>110010=>50
[7,1,3,6,5,4,2]=>110110=>54
[7,1,4,2,3,5,6]=>110000=>48
[7,1,4,2,3,6,5]=>110010=>50
[7,1,4,2,5,3,6]=>111000=>56
[7,1,4,2,5,6,3]=>111000=>56
[7,1,4,2,6,3,5]=>111000=>56
[7,1,4,2,6,5,3]=>111010=>58
[7,1,4,3,2,5,6]=>111000=>56
[7,1,4,3,2,6,5]=>111010=>58
[7,1,4,3,5,2,6]=>111000=>56
[7,1,4,3,5,6,2]=>111000=>56
[7,1,4,3,6,2,5]=>111000=>56
[7,1,4,3,6,5,2]=>111010=>58
[7,1,4,5,2,3,6]=>110000=>48
[7,1,4,5,2,6,3]=>111000=>56
[7,1,4,5,3,2,6]=>111000=>56
[7,1,4,5,3,6,2]=>111000=>56
[7,1,4,5,6,2,3]=>110000=>48
[7,1,4,5,6,3,2]=>111000=>56
[7,1,4,6,2,3,5]=>110000=>48
[7,1,4,6,2,5,3]=>111000=>56
[7,1,4,6,3,2,5]=>111000=>56
[7,1,4,6,3,5,2]=>111000=>56
[7,1,4,6,5,2,3]=>110010=>50
[7,1,4,6,5,3,2]=>111010=>58
[7,1,5,2,3,4,6]=>110000=>48
[7,1,5,2,3,6,4]=>110100=>52
[7,1,5,2,4,3,6]=>111000=>56
[7,1,5,2,4,6,3]=>111000=>56
[7,1,5,2,6,3,4]=>111000=>56
[7,1,5,2,6,4,3]=>111100=>60
[7,1,5,3,2,4,6]=>111000=>56
[7,1,5,3,2,6,4]=>111100=>60
[7,1,5,3,4,2,6]=>111000=>56
[7,1,5,3,4,6,2]=>111000=>56
[7,1,5,3,6,2,4]=>111000=>56
[7,1,5,3,6,4,2]=>111100=>60
[7,1,5,4,2,3,6]=>110100=>52
[7,1,5,4,2,6,3]=>111100=>60
[7,1,5,4,3,2,6]=>111100=>60
[7,1,5,4,3,6,2]=>111100=>60
[7,1,5,4,6,2,3]=>110100=>52
[7,1,5,4,6,3,2]=>111100=>60
[7,1,5,6,2,3,4]=>110000=>48
[7,1,5,6,2,4,3]=>111000=>56
[7,1,5,6,3,2,4]=>111000=>56
[7,1,5,6,3,4,2]=>111000=>56
[7,1,5,6,4,2,3]=>110100=>52
[7,1,5,6,4,3,2]=>111100=>60
[7,1,6,2,3,4,5]=>110000=>48
[7,1,6,2,3,5,4]=>110100=>52
[7,1,6,2,4,3,5]=>111000=>56
[7,1,6,2,4,5,3]=>111000=>56
[7,1,6,2,5,3,4]=>111000=>56
[7,1,6,2,5,4,3]=>111100=>60
[7,1,6,3,2,4,5]=>111000=>56
[7,1,6,3,2,5,4]=>111100=>60
[7,1,6,3,4,2,5]=>111000=>56
[7,1,6,3,4,5,2]=>111000=>56
[7,1,6,3,5,2,4]=>111000=>56
[7,1,6,3,5,4,2]=>111100=>60
[7,1,6,4,2,3,5]=>110100=>52
[7,1,6,4,2,5,3]=>111100=>60
[7,1,6,4,3,2,5]=>111100=>60
[7,1,6,4,3,5,2]=>111100=>60
[7,1,6,4,5,2,3]=>110100=>52
[7,1,6,4,5,3,2]=>111100=>60
[7,1,6,5,2,3,4]=>110010=>50
[7,1,6,5,2,4,3]=>111010=>58
[7,1,6,5,3,2,4]=>111010=>58
[7,1,6,5,3,4,2]=>111010=>58
[7,1,6,5,4,2,3]=>110110=>54
[7,1,6,5,4,3,2]=>111110=>62
[7,2,1,3,4,5,6]=>110000=>48
[7,2,1,3,4,6,5]=>110010=>50
[7,2,1,3,5,4,6]=>110100=>52
[7,2,1,3,5,6,4]=>110100=>52
[7,2,1,3,6,4,5]=>110100=>52
[7,2,1,3,6,5,4]=>110110=>54
[7,2,1,4,3,5,6]=>111000=>56
[7,2,1,4,3,6,5]=>111010=>58
[7,2,1,4,5,3,6]=>111000=>56
[7,2,1,4,5,6,3]=>111000=>56
[7,2,1,4,6,3,5]=>111000=>56
[7,2,1,4,6,5,3]=>111010=>58
[7,2,1,5,3,4,6]=>111000=>56
[7,2,1,5,3,6,4]=>111100=>60
[7,2,1,5,4,3,6]=>111100=>60
[7,2,1,5,4,6,3]=>111100=>60
[7,2,1,5,6,3,4]=>111000=>56
[7,2,1,5,6,4,3]=>111100=>60
[7,2,1,6,3,4,5]=>111000=>56
[7,2,1,6,3,5,4]=>111100=>60
[7,2,1,6,4,3,5]=>111100=>60
[7,2,1,6,4,5,3]=>111100=>60
[7,2,1,6,5,3,4]=>111010=>58
[7,2,1,6,5,4,3]=>111110=>62
[7,2,3,1,4,5,6]=>110000=>48
[7,2,3,1,4,6,5]=>110010=>50
[7,2,3,1,5,4,6]=>110100=>52
[7,2,3,1,5,6,4]=>110100=>52
[7,2,3,1,6,4,5]=>110100=>52
[7,2,3,1,6,5,4]=>110110=>54
[7,2,3,4,1,5,6]=>110000=>48
[7,2,3,4,1,6,5]=>110010=>50
[7,2,3,4,5,1,6]=>110000=>48
[7,2,3,4,5,6,1]=>110000=>48
[7,2,3,4,6,1,5]=>110000=>48
[7,2,3,4,6,5,1]=>110010=>50
[7,2,3,5,1,4,6]=>110000=>48
[7,2,3,5,1,6,4]=>110100=>52
[7,2,3,5,4,1,6]=>110100=>52
[7,2,3,5,4,6,1]=>110100=>52
[7,2,3,5,6,1,4]=>110000=>48
[7,2,3,5,6,4,1]=>110100=>52
[7,2,3,6,1,4,5]=>110000=>48
[7,2,3,6,1,5,4]=>110100=>52
[7,2,3,6,4,1,5]=>110100=>52
[7,2,3,6,4,5,1]=>110100=>52
[7,2,3,6,5,1,4]=>110010=>50
[7,2,3,6,5,4,1]=>110110=>54
[7,2,4,1,3,5,6]=>110000=>48
[7,2,4,1,3,6,5]=>110010=>50
[7,2,4,1,5,3,6]=>111000=>56
[7,2,4,1,5,6,3]=>111000=>56
[7,2,4,1,6,3,5]=>111000=>56
[7,2,4,1,6,5,3]=>111010=>58
[7,2,4,3,1,5,6]=>111000=>56
[7,2,4,3,1,6,5]=>111010=>58
[7,2,4,3,5,1,6]=>111000=>56
[7,2,4,3,5,6,1]=>111000=>56
[7,2,4,3,6,1,5]=>111000=>56
[7,2,4,3,6,5,1]=>111010=>58
[7,2,4,5,1,3,6]=>110000=>48
[7,2,4,5,1,6,3]=>111000=>56
[7,2,4,5,3,1,6]=>111000=>56
[7,2,4,5,3,6,1]=>111000=>56
[7,2,4,5,6,1,3]=>110000=>48
[7,2,4,5,6,3,1]=>111000=>56
[7,2,4,6,1,3,5]=>110000=>48
[7,2,4,6,1,5,3]=>111000=>56
[7,2,4,6,3,1,5]=>111000=>56
[7,2,4,6,3,5,1]=>111000=>56
[7,2,4,6,5,1,3]=>110010=>50
[7,2,4,6,5,3,1]=>111010=>58
[7,2,5,1,3,4,6]=>110000=>48
[7,2,5,1,3,6,4]=>110100=>52
[7,2,5,1,4,3,6]=>111000=>56
[7,2,5,1,4,6,3]=>111000=>56
[7,2,5,1,6,3,4]=>111000=>56
[7,2,5,1,6,4,3]=>111100=>60
[7,2,5,3,1,4,6]=>111000=>56
[7,2,5,3,1,6,4]=>111100=>60
[7,2,5,3,4,1,6]=>111000=>56
[7,2,5,3,4,6,1]=>111000=>56
[7,2,5,3,6,1,4]=>111000=>56
[7,2,5,3,6,4,1]=>111100=>60
[7,2,5,4,1,3,6]=>110100=>52
[7,2,5,4,1,6,3]=>111100=>60
[7,2,5,4,3,1,6]=>111100=>60
[7,2,5,4,3,6,1]=>111100=>60
[7,2,5,4,6,1,3]=>110100=>52
[7,2,5,4,6,3,1]=>111100=>60
[7,2,5,6,1,3,4]=>110000=>48
[7,2,5,6,1,4,3]=>111000=>56
[7,2,5,6,3,1,4]=>111000=>56
[7,2,5,6,3,4,1]=>111000=>56
[7,2,5,6,4,1,3]=>110100=>52
[7,2,5,6,4,3,1]=>111100=>60
[7,2,6,1,3,4,5]=>110000=>48
[7,2,6,1,3,5,4]=>110100=>52
[7,2,6,1,4,3,5]=>111000=>56
[7,2,6,1,4,5,3]=>111000=>56
[7,2,6,1,5,3,4]=>111000=>56
[7,2,6,1,5,4,3]=>111100=>60
[7,2,6,3,1,4,5]=>111000=>56
[7,2,6,3,1,5,4]=>111100=>60
[7,2,6,3,4,1,5]=>111000=>56
[7,2,6,3,4,5,1]=>111000=>56
[7,2,6,3,5,1,4]=>111000=>56
[7,2,6,3,5,4,1]=>111100=>60
[7,2,6,4,1,3,5]=>110100=>52
[7,2,6,4,1,5,3]=>111100=>60
[7,2,6,4,3,1,5]=>111100=>60
[7,2,6,4,3,5,1]=>111100=>60
[7,2,6,4,5,1,3]=>110100=>52
[7,2,6,4,5,3,1]=>111100=>60
[7,2,6,5,1,3,4]=>110010=>50
[7,2,6,5,1,4,3]=>111010=>58
[7,2,6,5,3,1,4]=>111010=>58
[7,2,6,5,3,4,1]=>111010=>58
[7,2,6,5,4,1,3]=>110110=>54
[7,2,6,5,4,3,1]=>111110=>62
[7,3,1,2,4,5,6]=>101000=>40
[7,3,1,2,4,6,5]=>101010=>42
[7,3,1,2,5,4,6]=>101100=>44
[7,3,1,2,5,6,4]=>101100=>44
[7,3,1,2,6,4,5]=>101100=>44
[7,3,1,2,6,5,4]=>101110=>46
[7,3,1,4,2,5,6]=>111000=>56
[7,3,1,4,2,6,5]=>111010=>58
[7,3,1,4,5,2,6]=>111000=>56
[7,3,1,4,5,6,2]=>111000=>56
[7,3,1,4,6,2,5]=>111000=>56
[7,3,1,4,6,5,2]=>111010=>58
[7,3,1,5,2,4,6]=>111000=>56
[7,3,1,5,2,6,4]=>111100=>60
[7,3,1,5,4,2,6]=>111100=>60
[7,3,1,5,4,6,2]=>111100=>60
[7,3,1,5,6,2,4]=>111000=>56
[7,3,1,5,6,4,2]=>111100=>60
[7,3,1,6,2,4,5]=>111000=>56
[7,3,1,6,2,5,4]=>111100=>60
[7,3,1,6,4,2,5]=>111100=>60
[7,3,1,6,4,5,2]=>111100=>60
[7,3,1,6,5,2,4]=>111010=>58
[7,3,1,6,5,4,2]=>111110=>62
[7,3,2,1,4,5,6]=>111000=>56
[7,3,2,1,4,6,5]=>111010=>58
[7,3,2,1,5,4,6]=>111100=>60
[7,3,2,1,5,6,4]=>111100=>60
[7,3,2,1,6,4,5]=>111100=>60
[7,3,2,1,6,5,4]=>111110=>62
[7,3,2,4,1,5,6]=>111000=>56
[7,3,2,4,1,6,5]=>111010=>58
[7,3,2,4,5,1,6]=>111000=>56
[7,3,2,4,5,6,1]=>111000=>56
[7,3,2,4,6,1,5]=>111000=>56
[7,3,2,4,6,5,1]=>111010=>58
[7,3,2,5,1,4,6]=>111000=>56
[7,3,2,5,1,6,4]=>111100=>60
[7,3,2,5,4,1,6]=>111100=>60
[7,3,2,5,4,6,1]=>111100=>60
[7,3,2,5,6,1,4]=>111000=>56
[7,3,2,5,6,4,1]=>111100=>60
[7,3,2,6,1,4,5]=>111000=>56
[7,3,2,6,1,5,4]=>111100=>60
[7,3,2,6,4,1,5]=>111100=>60
[7,3,2,6,4,5,1]=>111100=>60
[7,3,2,6,5,1,4]=>111010=>58
[7,3,2,6,5,4,1]=>111110=>62
[7,3,4,1,2,5,6]=>101000=>40
[7,3,4,1,2,6,5]=>101010=>42
[7,3,4,1,5,2,6]=>111000=>56
[7,3,4,1,5,6,2]=>111000=>56
[7,3,4,1,6,2,5]=>111000=>56
[7,3,4,1,6,5,2]=>111010=>58
[7,3,4,2,1,5,6]=>111000=>56
[7,3,4,2,1,6,5]=>111010=>58
[7,3,4,2,5,1,6]=>111000=>56
[7,3,4,2,5,6,1]=>111000=>56
[7,3,4,2,6,1,5]=>111000=>56
[7,3,4,2,6,5,1]=>111010=>58
[7,3,4,5,1,2,6]=>101000=>40
[7,3,4,5,1,6,2]=>111000=>56
[7,3,4,5,2,1,6]=>111000=>56
[7,3,4,5,2,6,1]=>111000=>56
[7,3,4,5,6,1,2]=>101000=>40
[7,3,4,5,6,2,1]=>111000=>56
[7,3,4,6,1,2,5]=>101000=>40
[7,3,4,6,1,5,2]=>111000=>56
[7,3,4,6,2,1,5]=>111000=>56
[7,3,4,6,2,5,1]=>111000=>56
[7,3,4,6,5,1,2]=>101010=>42
[7,3,4,6,5,2,1]=>111010=>58
[7,3,5,1,2,4,6]=>101000=>40
[7,3,5,1,2,6,4]=>101100=>44
[7,3,5,1,4,2,6]=>111000=>56
[7,3,5,1,4,6,2]=>111000=>56
[7,3,5,1,6,2,4]=>111000=>56
[7,3,5,1,6,4,2]=>111100=>60
[7,3,5,2,1,4,6]=>111000=>56
[7,3,5,2,1,6,4]=>111100=>60
[7,3,5,2,4,1,6]=>111000=>56
[7,3,5,2,4,6,1]=>111000=>56
[7,3,5,2,6,1,4]=>111000=>56
[7,3,5,2,6,4,1]=>111100=>60
[7,3,5,4,1,2,6]=>101100=>44
[7,3,5,4,1,6,2]=>111100=>60
[7,3,5,4,2,1,6]=>111100=>60
[7,3,5,4,2,6,1]=>111100=>60
[7,3,5,4,6,1,2]=>101100=>44
[7,3,5,4,6,2,1]=>111100=>60
[7,3,5,6,1,2,4]=>101000=>40
[7,3,5,6,1,4,2]=>111000=>56
[7,3,5,6,2,1,4]=>111000=>56
[7,3,5,6,2,4,1]=>111000=>56
[7,3,5,6,4,1,2]=>101100=>44
[7,3,5,6,4,2,1]=>111100=>60
[7,3,6,1,2,4,5]=>101000=>40
[7,3,6,1,2,5,4]=>101100=>44
[7,3,6,1,4,2,5]=>111000=>56
[7,3,6,1,4,5,2]=>111000=>56
[7,3,6,1,5,2,4]=>111000=>56
[7,3,6,1,5,4,2]=>111100=>60
[7,3,6,2,1,4,5]=>111000=>56
[7,3,6,2,1,5,4]=>111100=>60
[7,3,6,2,4,1,5]=>111000=>56
[7,3,6,2,4,5,1]=>111000=>56
[7,3,6,2,5,1,4]=>111000=>56
[7,3,6,2,5,4,1]=>111100=>60
[7,3,6,4,1,2,5]=>101100=>44
[7,3,6,4,1,5,2]=>111100=>60
[7,3,6,4,2,1,5]=>111100=>60
[7,3,6,4,2,5,1]=>111100=>60
[7,3,6,4,5,1,2]=>101100=>44
[7,3,6,4,5,2,1]=>111100=>60
[7,3,6,5,1,2,4]=>101010=>42
[7,3,6,5,1,4,2]=>111010=>58
[7,3,6,5,2,1,4]=>111010=>58
[7,3,6,5,2,4,1]=>111010=>58
[7,3,6,5,4,1,2]=>101110=>46
[7,3,6,5,4,2,1]=>111110=>62
[7,4,1,2,3,5,6]=>100100=>36
[7,4,1,2,3,6,5]=>100110=>38
[7,4,1,2,5,3,6]=>101100=>44
[7,4,1,2,5,6,3]=>101100=>44
[7,4,1,2,6,3,5]=>101100=>44
[7,4,1,2,6,5,3]=>101110=>46
[7,4,1,3,2,5,6]=>110100=>52
[7,4,1,3,2,6,5]=>110110=>54
[7,4,1,3,5,2,6]=>110100=>52
[7,4,1,3,5,6,2]=>110100=>52
[7,4,1,3,6,2,5]=>110100=>52
[7,4,1,3,6,5,2]=>110110=>54
[7,4,1,5,2,3,6]=>110100=>52
[7,4,1,5,2,6,3]=>111100=>60
[7,4,1,5,3,2,6]=>111100=>60
[7,4,1,5,3,6,2]=>111100=>60
[7,4,1,5,6,2,3]=>110100=>52
[7,4,1,5,6,3,2]=>111100=>60
[7,4,1,6,2,3,5]=>110100=>52
[7,4,1,6,2,5,3]=>111100=>60
[7,4,1,6,3,2,5]=>111100=>60
[7,4,1,6,3,5,2]=>111100=>60
[7,4,1,6,5,2,3]=>110110=>54
[7,4,1,6,5,3,2]=>111110=>62
[7,4,2,1,3,5,6]=>110100=>52
[7,4,2,1,3,6,5]=>110110=>54
[7,4,2,1,5,3,6]=>111100=>60
[7,4,2,1,5,6,3]=>111100=>60
[7,4,2,1,6,3,5]=>111100=>60
[7,4,2,1,6,5,3]=>111110=>62
[7,4,2,3,1,5,6]=>110100=>52
[7,4,2,3,1,6,5]=>110110=>54
[7,4,2,3,5,1,6]=>110100=>52
[7,4,2,3,5,6,1]=>110100=>52
[7,4,2,3,6,1,5]=>110100=>52
[7,4,2,3,6,5,1]=>110110=>54
[7,4,2,5,1,3,6]=>110100=>52
[7,4,2,5,1,6,3]=>111100=>60
[7,4,2,5,3,1,6]=>111100=>60
[7,4,2,5,3,6,1]=>111100=>60
[7,4,2,5,6,1,3]=>110100=>52
[7,4,2,5,6,3,1]=>111100=>60
[7,4,2,6,1,3,5]=>110100=>52
[7,4,2,6,1,5,3]=>111100=>60
[7,4,2,6,3,1,5]=>111100=>60
[7,4,2,6,3,5,1]=>111100=>60
[7,4,2,6,5,1,3]=>110110=>54
[7,4,2,6,5,3,1]=>111110=>62
[7,4,3,1,2,5,6]=>101100=>44
[7,4,3,1,2,6,5]=>101110=>46
[7,4,3,1,5,2,6]=>111100=>60
[7,4,3,1,5,6,2]=>111100=>60
[7,4,3,1,6,2,5]=>111100=>60
[7,4,3,1,6,5,2]=>111110=>62
[7,4,3,2,1,5,6]=>111100=>60
[7,4,3,2,1,6,5]=>111110=>62
[7,4,3,2,5,1,6]=>111100=>60
[7,4,3,2,5,6,1]=>111100=>60
[7,4,3,2,6,1,5]=>111100=>60
[7,4,3,2,6,5,1]=>111110=>62
[7,4,3,5,1,2,6]=>101100=>44
[7,4,3,5,1,6,2]=>111100=>60
[7,4,3,5,2,1,6]=>111100=>60
[7,4,3,5,2,6,1]=>111100=>60
[7,4,3,5,6,1,2]=>101100=>44
[7,4,3,5,6,2,1]=>111100=>60
[7,4,3,6,1,2,5]=>101100=>44
[7,4,3,6,1,5,2]=>111100=>60
[7,4,3,6,2,1,5]=>111100=>60
[7,4,3,6,2,5,1]=>111100=>60
[7,4,3,6,5,1,2]=>101110=>46
[7,4,3,6,5,2,1]=>111110=>62
[7,4,5,1,2,3,6]=>100100=>36
[7,4,5,1,2,6,3]=>101100=>44
[7,4,5,1,3,2,6]=>110100=>52
[7,4,5,1,3,6,2]=>110100=>52
[7,4,5,1,6,2,3]=>110100=>52
[7,4,5,1,6,3,2]=>111100=>60
[7,4,5,2,1,3,6]=>110100=>52
[7,4,5,2,1,6,3]=>111100=>60
[7,4,5,2,3,1,6]=>110100=>52
[7,4,5,2,3,6,1]=>110100=>52
[7,4,5,2,6,1,3]=>110100=>52
[7,4,5,2,6,3,1]=>111100=>60
[7,4,5,3,1,2,6]=>101100=>44
[7,4,5,3,1,6,2]=>111100=>60
[7,4,5,3,2,1,6]=>111100=>60
[7,4,5,3,2,6,1]=>111100=>60
[7,4,5,3,6,1,2]=>101100=>44
[7,4,5,3,6,2,1]=>111100=>60
[7,4,5,6,1,2,3]=>100100=>36
[7,4,5,6,1,3,2]=>110100=>52
[7,4,5,6,2,1,3]=>110100=>52
[7,4,5,6,2,3,1]=>110100=>52
[7,4,5,6,3,1,2]=>101100=>44
[7,4,5,6,3,2,1]=>111100=>60
[7,4,6,1,2,3,5]=>100100=>36
[7,4,6,1,2,5,3]=>101100=>44
[7,4,6,1,3,2,5]=>110100=>52
[7,4,6,1,3,5,2]=>110100=>52
[7,4,6,1,5,2,3]=>110100=>52
[7,4,6,1,5,3,2]=>111100=>60
[7,4,6,2,1,3,5]=>110100=>52
[7,4,6,2,1,5,3]=>111100=>60
[7,4,6,2,3,1,5]=>110100=>52
[7,4,6,2,3,5,1]=>110100=>52
[7,4,6,2,5,1,3]=>110100=>52
[7,4,6,2,5,3,1]=>111100=>60
[7,4,6,3,1,2,5]=>101100=>44
[7,4,6,3,1,5,2]=>111100=>60
[7,4,6,3,2,1,5]=>111100=>60
[7,4,6,3,2,5,1]=>111100=>60
[7,4,6,3,5,1,2]=>101100=>44
[7,4,6,3,5,2,1]=>111100=>60
[7,4,6,5,1,2,3]=>100110=>38
[7,4,6,5,1,3,2]=>110110=>54
[7,4,6,5,2,1,3]=>110110=>54
[7,4,6,5,2,3,1]=>110110=>54
[7,4,6,5,3,1,2]=>101110=>46
[7,4,6,5,3,2,1]=>111110=>62
[7,5,1,2,3,4,6]=>100010=>34
[7,5,1,2,3,6,4]=>100110=>38
[7,5,1,2,4,3,6]=>101010=>42
[7,5,1,2,4,6,3]=>101010=>42
[7,5,1,2,6,3,4]=>101010=>42
[7,5,1,2,6,4,3]=>101110=>46
[7,5,1,3,2,4,6]=>110010=>50
[7,5,1,3,2,6,4]=>110110=>54
[7,5,1,3,4,2,6]=>110010=>50
[7,5,1,3,4,6,2]=>110010=>50
[7,5,1,3,6,2,4]=>110010=>50
[7,5,1,3,6,4,2]=>110110=>54
[7,5,1,4,2,3,6]=>110010=>50
[7,5,1,4,2,6,3]=>111010=>58
[7,5,1,4,3,2,6]=>111010=>58
[7,5,1,4,3,6,2]=>111010=>58
[7,5,1,4,6,2,3]=>110010=>50
[7,5,1,4,6,3,2]=>111010=>58
[7,5,1,6,2,3,4]=>110010=>50
[7,5,1,6,2,4,3]=>111010=>58
[7,5,1,6,3,2,4]=>111010=>58
[7,5,1,6,3,4,2]=>111010=>58
[7,5,1,6,4,2,3]=>110110=>54
[7,5,1,6,4,3,2]=>111110=>62
[7,5,2,1,3,4,6]=>110010=>50
[7,5,2,1,3,6,4]=>110110=>54
[7,5,2,1,4,3,6]=>111010=>58
[7,5,2,1,4,6,3]=>111010=>58
[7,5,2,1,6,3,4]=>111010=>58
[7,5,2,1,6,4,3]=>111110=>62
[7,5,2,3,1,4,6]=>110010=>50
[7,5,2,3,1,6,4]=>110110=>54
[7,5,2,3,4,1,6]=>110010=>50
[7,5,2,3,4,6,1]=>110010=>50
[7,5,2,3,6,1,4]=>110010=>50
[7,5,2,3,6,4,1]=>110110=>54
[7,5,2,4,1,3,6]=>110010=>50
[7,5,2,4,1,6,3]=>111010=>58
[7,5,2,4,3,1,6]=>111010=>58
[7,5,2,4,3,6,1]=>111010=>58
[7,5,2,4,6,1,3]=>110010=>50
[7,5,2,4,6,3,1]=>111010=>58
[7,5,2,6,1,3,4]=>110010=>50
[7,5,2,6,1,4,3]=>111010=>58
[7,5,2,6,3,1,4]=>111010=>58
[7,5,2,6,3,4,1]=>111010=>58
[7,5,2,6,4,1,3]=>110110=>54
[7,5,2,6,4,3,1]=>111110=>62
[7,5,3,1,2,4,6]=>101010=>42
[7,5,3,1,2,6,4]=>101110=>46
[7,5,3,1,4,2,6]=>111010=>58
[7,5,3,1,4,6,2]=>111010=>58
[7,5,3,1,6,2,4]=>111010=>58
[7,5,3,1,6,4,2]=>111110=>62
[7,5,3,2,1,4,6]=>111010=>58
[7,5,3,2,1,6,4]=>111110=>62
[7,5,3,2,4,1,6]=>111010=>58
[7,5,3,2,4,6,1]=>111010=>58
[7,5,3,2,6,1,4]=>111010=>58
[7,5,3,2,6,4,1]=>111110=>62
[7,5,3,4,1,2,6]=>101010=>42
[7,5,3,4,1,6,2]=>111010=>58
[7,5,3,4,2,1,6]=>111010=>58
[7,5,3,4,2,6,1]=>111010=>58
[7,5,3,4,6,1,2]=>101010=>42
[7,5,3,4,6,2,1]=>111010=>58
[7,5,3,6,1,2,4]=>101010=>42
[7,5,3,6,1,4,2]=>111010=>58
[7,5,3,6,2,1,4]=>111010=>58
[7,5,3,6,2,4,1]=>111010=>58
[7,5,3,6,4,1,2]=>101110=>46
[7,5,3,6,4,2,1]=>111110=>62
[7,5,4,1,2,3,6]=>100110=>38
[7,5,4,1,2,6,3]=>101110=>46
[7,5,4,1,3,2,6]=>110110=>54
[7,5,4,1,3,6,2]=>110110=>54
[7,5,4,1,6,2,3]=>110110=>54
[7,5,4,1,6,3,2]=>111110=>62
[7,5,4,2,1,3,6]=>110110=>54
[7,5,4,2,1,6,3]=>111110=>62
[7,5,4,2,3,1,6]=>110110=>54
[7,5,4,2,3,6,1]=>110110=>54
[7,5,4,2,6,1,3]=>110110=>54
[7,5,4,2,6,3,1]=>111110=>62
[7,5,4,3,1,2,6]=>101110=>46
[7,5,4,3,1,6,2]=>111110=>62
[7,5,4,3,2,1,6]=>111110=>62
[7,5,4,3,2,6,1]=>111110=>62
[7,5,4,3,6,1,2]=>101110=>46
[7,5,4,3,6,2,1]=>111110=>62
[7,5,4,6,1,2,3]=>100110=>38
[7,5,4,6,1,3,2]=>110110=>54
[7,5,4,6,2,1,3]=>110110=>54
[7,5,4,6,2,3,1]=>110110=>54
[7,5,4,6,3,1,2]=>101110=>46
[7,5,4,6,3,2,1]=>111110=>62
[7,5,6,1,2,3,4]=>100010=>34
[7,5,6,1,2,4,3]=>101010=>42
[7,5,6,1,3,2,4]=>110010=>50
[7,5,6,1,3,4,2]=>110010=>50
[7,5,6,1,4,2,3]=>110010=>50
[7,5,6,1,4,3,2]=>111010=>58
[7,5,6,2,1,3,4]=>110010=>50
[7,5,6,2,1,4,3]=>111010=>58
[7,5,6,2,3,1,4]=>110010=>50
[7,5,6,2,3,4,1]=>110010=>50
[7,5,6,2,4,1,3]=>110010=>50
[7,5,6,2,4,3,1]=>111010=>58
[7,5,6,3,1,2,4]=>101010=>42
[7,5,6,3,1,4,2]=>111010=>58
[7,5,6,3,2,1,4]=>111010=>58
[7,5,6,3,2,4,1]=>111010=>58
[7,5,6,3,4,1,2]=>101010=>42
[7,5,6,3,4,2,1]=>111010=>58
[7,5,6,4,1,2,3]=>100110=>38
[7,5,6,4,1,3,2]=>110110=>54
[7,5,6,4,2,1,3]=>110110=>54
[7,5,6,4,2,3,1]=>110110=>54
[7,5,6,4,3,1,2]=>101110=>46
[7,5,6,4,3,2,1]=>111110=>62
[7,6,1,2,3,4,5]=>100001=>33
[7,6,1,2,3,5,4]=>100101=>37
[7,6,1,2,4,3,5]=>101001=>41
[7,6,1,2,4,5,3]=>101001=>41
[7,6,1,2,5,3,4]=>101001=>41
[7,6,1,2,5,4,3]=>101101=>45
[7,6,1,3,2,4,5]=>110001=>49
[7,6,1,3,2,5,4]=>110101=>53
[7,6,1,3,4,2,5]=>110001=>49
[7,6,1,3,4,5,2]=>110001=>49
[7,6,1,3,5,2,4]=>110001=>49
[7,6,1,3,5,4,2]=>110101=>53
[7,6,1,4,2,3,5]=>110001=>49
[7,6,1,4,2,5,3]=>111001=>57
[7,6,1,4,3,2,5]=>111001=>57
[7,6,1,4,3,5,2]=>111001=>57
[7,6,1,4,5,2,3]=>110001=>49
[7,6,1,4,5,3,2]=>111001=>57
[7,6,1,5,2,3,4]=>110001=>49
[7,6,1,5,2,4,3]=>111001=>57
[7,6,1,5,3,2,4]=>111001=>57
[7,6,1,5,3,4,2]=>111001=>57
[7,6,1,5,4,2,3]=>110101=>53
[7,6,1,5,4,3,2]=>111101=>61
[7,6,2,1,3,4,5]=>110001=>49
[7,6,2,1,3,5,4]=>110101=>53
[7,6,2,1,4,3,5]=>111001=>57
[7,6,2,1,4,5,3]=>111001=>57
[7,6,2,1,5,3,4]=>111001=>57
[7,6,2,1,5,4,3]=>111101=>61
[7,6,2,3,1,4,5]=>110001=>49
[7,6,2,3,1,5,4]=>110101=>53
[7,6,2,3,4,1,5]=>110001=>49
[7,6,2,3,4,5,1]=>110001=>49
[7,6,2,3,5,1,4]=>110001=>49
[7,6,2,3,5,4,1]=>110101=>53
[7,6,2,4,1,3,5]=>110001=>49
[7,6,2,4,1,5,3]=>111001=>57
[7,6,2,4,3,1,5]=>111001=>57
[7,6,2,4,3,5,1]=>111001=>57
[7,6,2,4,5,1,3]=>110001=>49
[7,6,2,4,5,3,1]=>111001=>57
[7,6,2,5,1,3,4]=>110001=>49
[7,6,2,5,1,4,3]=>111001=>57
[7,6,2,5,3,1,4]=>111001=>57
[7,6,2,5,3,4,1]=>111001=>57
[7,6,2,5,4,1,3]=>110101=>53
[7,6,2,5,4,3,1]=>111101=>61
[7,6,3,1,2,4,5]=>101001=>41
[7,6,3,1,2,5,4]=>101101=>45
[7,6,3,1,4,2,5]=>111001=>57
[7,6,3,1,4,5,2]=>111001=>57
[7,6,3,1,5,2,4]=>111001=>57
[7,6,3,1,5,4,2]=>111101=>61
[7,6,3,2,1,4,5]=>111001=>57
[7,6,3,2,1,5,4]=>111101=>61
[7,6,3,2,4,1,5]=>111001=>57
[7,6,3,2,4,5,1]=>111001=>57
[7,6,3,2,5,1,4]=>111001=>57
[7,6,3,2,5,4,1]=>111101=>61
[7,6,3,4,1,2,5]=>101001=>41
[7,6,3,4,1,5,2]=>111001=>57
[7,6,3,4,2,1,5]=>111001=>57
[7,6,3,4,2,5,1]=>111001=>57
[7,6,3,4,5,1,2]=>101001=>41
[7,6,3,4,5,2,1]=>111001=>57
[7,6,3,5,1,2,4]=>101001=>41
[7,6,3,5,1,4,2]=>111001=>57
[7,6,3,5,2,1,4]=>111001=>57
[7,6,3,5,2,4,1]=>111001=>57
[7,6,3,5,4,1,2]=>101101=>45
[7,6,3,5,4,2,1]=>111101=>61
[7,6,4,1,2,3,5]=>100101=>37
[7,6,4,1,2,5,3]=>101101=>45
[7,6,4,1,3,2,5]=>110101=>53
[7,6,4,1,3,5,2]=>110101=>53
[7,6,4,1,5,2,3]=>110101=>53
[7,6,4,1,5,3,2]=>111101=>61
[7,6,4,2,1,3,5]=>110101=>53
[7,6,4,2,1,5,3]=>111101=>61
[7,6,4,2,3,1,5]=>110101=>53
[7,6,4,2,3,5,1]=>110101=>53
[7,6,4,2,5,1,3]=>110101=>53
[7,6,4,2,5,3,1]=>111101=>61
[7,6,4,3,1,2,5]=>101101=>45
[7,6,4,3,1,5,2]=>111101=>61
[7,6,4,3,2,1,5]=>111101=>61
[7,6,4,3,2,5,1]=>111101=>61
[7,6,4,3,5,1,2]=>101101=>45
[7,6,4,3,5,2,1]=>111101=>61
[7,6,4,5,1,2,3]=>100101=>37
[7,6,4,5,1,3,2]=>110101=>53
[7,6,4,5,2,1,3]=>110101=>53
[7,6,4,5,2,3,1]=>110101=>53
[7,6,4,5,3,1,2]=>101101=>45
[7,6,4,5,3,2,1]=>111101=>61
[7,6,5,1,2,3,4]=>100011=>35
[7,6,5,1,2,4,3]=>101011=>43
[7,6,5,1,3,2,4]=>110011=>51
[7,6,5,1,3,4,2]=>110011=>51
[7,6,5,1,4,2,3]=>110011=>51
[7,6,5,1,4,3,2]=>111011=>59
[7,6,5,2,1,3,4]=>110011=>51
[7,6,5,2,1,4,3]=>111011=>59
[7,6,5,2,3,1,4]=>110011=>51
[7,6,5,2,3,4,1]=>110011=>51
[7,6,5,2,4,1,3]=>110011=>51
[7,6,5,2,4,3,1]=>111011=>59
[7,6,5,3,1,2,4]=>101011=>43
[7,6,5,3,1,4,2]=>111011=>59
[7,6,5,3,2,1,4]=>111011=>59
[7,6,5,3,2,4,1]=>111011=>59
[7,6,5,3,4,1,2]=>101011=>43
[7,6,5,3,4,2,1]=>111011=>59
[7,6,5,4,1,2,3]=>100111=>39
[7,6,5,4,1,3,2]=>110111=>55
[7,6,5,4,2,1,3]=>110111=>55
[7,6,5,4,2,3,1]=>110111=>55
[7,6,5,4,3,1,2]=>101111=>47
[7,6,5,4,3,2,1]=>111111=>63
[8,7,6,5,4,3,2,1]=>1111111=>127
[7,8,6,5,4,3,2,1]=>1111110=>126
[8,6,7,5,4,3,2,1]=>1111110=>126
[7,6,8,5,4,3,2,1]=>1111110=>126
[6,7,8,5,4,3,2,1]=>1111100=>124
[8,7,5,6,4,3,2,1]=>1111101=>125
[7,8,5,6,4,3,2,1]=>1111100=>124
[8,6,5,7,4,3,2,1]=>1111110=>126
[8,5,6,7,4,3,2,1]=>1111100=>124
[7,6,5,8,4,3,2,1]=>1111110=>126
[6,7,5,8,4,3,2,1]=>1111100=>124
[7,5,6,8,4,3,2,1]=>1111100=>124
[6,5,7,8,4,3,2,1]=>1111100=>124
[5,6,7,8,4,3,2,1]=>1111000=>120
[8,7,6,4,5,3,2,1]=>1111011=>123
[7,8,6,4,5,3,2,1]=>1111010=>122
[8,6,7,4,5,3,2,1]=>1111010=>122
[7,6,8,4,5,3,2,1]=>1111010=>122
[6,7,8,4,5,3,2,1]=>1111000=>120
[8,7,5,4,6,3,2,1]=>1111101=>125
[8,7,4,5,6,3,2,1]=>1111001=>121
[8,6,5,4,7,3,2,1]=>1111110=>126
[8,5,6,4,7,3,2,1]=>1111100=>124
[8,6,4,5,7,3,2,1]=>1111010=>122
[8,5,4,6,7,3,2,1]=>1111100=>124
[8,4,5,6,7,3,2,1]=>1111000=>120
[7,6,5,4,8,3,2,1]=>1111110=>126
[6,7,5,4,8,3,2,1]=>1111100=>124
[7,5,6,4,8,3,2,1]=>1111100=>124
[6,5,7,4,8,3,2,1]=>1111100=>124
[5,6,7,4,8,3,2,1]=>1111000=>120
[7,6,4,5,8,3,2,1]=>1111010=>122
[6,7,4,5,8,3,2,1]=>1111000=>120
[7,5,4,6,8,3,2,1]=>1111100=>124
[7,4,5,6,8,3,2,1]=>1111000=>120
[6,5,4,7,8,3,2,1]=>1111100=>124
[5,6,4,7,8,3,2,1]=>1111000=>120
[6,4,5,7,8,3,2,1]=>1111000=>120
[5,4,6,7,8,3,2,1]=>1111000=>120
[4,5,6,7,8,3,2,1]=>1110000=>112
[8,7,6,5,3,4,2,1]=>1110111=>119
[7,8,6,5,3,4,2,1]=>1110110=>118
[8,6,7,5,3,4,2,1]=>1110110=>118
[7,6,8,5,3,4,2,1]=>1110110=>118
[8,7,5,6,3,4,2,1]=>1110101=>117
[7,8,5,6,3,4,2,1]=>1110100=>116
[8,5,6,7,3,4,2,1]=>1110100=>116
[7,6,5,8,3,4,2,1]=>1110110=>118
[6,7,5,8,3,4,2,1]=>1110100=>116
[6,5,7,8,3,4,2,1]=>1110100=>116
[5,6,7,8,3,4,2,1]=>1110000=>112
[8,7,6,4,3,5,2,1]=>1111011=>123
[7,8,6,4,3,5,2,1]=>1111010=>122
[8,6,7,4,3,5,2,1]=>1111010=>122
[7,6,8,4,3,5,2,1]=>1111010=>122
[6,7,8,4,3,5,2,1]=>1111000=>120
[8,7,6,3,4,5,2,1]=>1110011=>115
[7,8,6,3,4,5,2,1]=>1110010=>114
[8,6,7,3,4,5,2,1]=>1110010=>114
[7,6,8,3,4,5,2,1]=>1110010=>114
[6,7,8,3,4,5,2,1]=>1110000=>112
[8,7,5,4,3,6,2,1]=>1111101=>125
[7,8,5,4,3,6,2,1]=>1111100=>124
[8,7,4,5,3,6,2,1]=>1111001=>121
[8,7,5,3,4,6,2,1]=>1110101=>117
[7,8,5,3,4,6,2,1]=>1110100=>116
[8,7,4,3,5,6,2,1]=>1111001=>121
[8,7,3,4,5,6,2,1]=>1110001=>113
[7,8,3,4,5,6,2,1]=>1110000=>112
[8,6,5,4,3,7,2,1]=>1111110=>126
[8,6,4,5,3,7,2,1]=>1111010=>122
[8,6,4,3,5,7,2,1]=>1111010=>122
[8,5,4,3,6,7,2,1]=>1111100=>124
[8,5,3,4,6,7,2,1]=>1110100=>116
[8,4,3,5,6,7,2,1]=>1111000=>120
[8,3,4,5,6,7,2,1]=>1110000=>112
[7,6,5,4,3,8,2,1]=>1111110=>126
[6,7,5,4,3,8,2,1]=>1111100=>124
[7,5,6,4,3,8,2,1]=>1111100=>124
[6,5,7,4,3,8,2,1]=>1111100=>124
[5,6,7,4,3,8,2,1]=>1111000=>120
[6,7,4,5,3,8,2,1]=>1111000=>120
[7,5,4,6,3,8,2,1]=>1111100=>124
[7,4,5,6,3,8,2,1]=>1111000=>120
[6,5,4,7,3,8,2,1]=>1111100=>124
[6,4,5,7,3,8,2,1]=>1111000=>120
[5,4,6,7,3,8,2,1]=>1111000=>120
[4,5,6,7,3,8,2,1]=>1110000=>112
[7,6,5,3,4,8,2,1]=>1110110=>118
[7,6,4,3,5,8,2,1]=>1111010=>122
[7,6,3,4,5,8,2,1]=>1110010=>114
[7,5,4,3,6,8,2,1]=>1111100=>124
[7,5,3,4,6,8,2,1]=>1110100=>116
[7,3,4,5,6,8,2,1]=>1110000=>112
[6,5,4,3,7,8,2,1]=>1111100=>124
[4,5,6,3,7,8,2,1]=>1110000=>112
[6,5,3,4,7,8,2,1]=>1110100=>116
[6,3,4,5,7,8,2,1]=>1110000=>112
[5,4,3,6,7,8,2,1]=>1111000=>120
[5,3,4,6,7,8,2,1]=>1110000=>112
[4,3,5,6,7,8,2,1]=>1110000=>112
[3,4,5,6,7,8,2,1]=>1100000=>96
[8,7,6,5,4,2,3,1]=>1101111=>111
[7,8,6,5,4,2,3,1]=>1101110=>110
[8,6,7,5,4,2,3,1]=>1101110=>110
[7,6,8,5,4,2,3,1]=>1101110=>110
[8,7,5,6,4,2,3,1]=>1101101=>109
[8,6,5,7,4,2,3,1]=>1101110=>110
[8,5,6,7,4,2,3,1]=>1101100=>108
[7,6,5,8,4,2,3,1]=>1101110=>110
[6,7,5,8,4,2,3,1]=>1101100=>108
[7,5,6,8,4,2,3,1]=>1101100=>108
[5,6,7,8,4,2,3,1]=>1101000=>104
[8,7,6,4,5,2,3,1]=>1101011=>107
[8,6,7,4,5,2,3,1]=>1101010=>106
[7,6,8,4,5,2,3,1]=>1101010=>106
[6,7,8,4,5,2,3,1]=>1101000=>104
[8,7,5,4,6,2,3,1]=>1101101=>109
[8,7,4,5,6,2,3,1]=>1101001=>105
[7,8,4,5,6,2,3,1]=>1101000=>104
[8,6,5,4,7,2,3,1]=>1101110=>110
[8,5,6,4,7,2,3,1]=>1101100=>108
[8,6,4,5,7,2,3,1]=>1101010=>106
[8,4,5,6,7,2,3,1]=>1101000=>104
[7,6,5,4,8,2,3,1]=>1101110=>110
[7,5,6,4,8,2,3,1]=>1101100=>108
[6,5,7,4,8,2,3,1]=>1101100=>108
[6,7,4,5,8,2,3,1]=>1101000=>104
[4,5,6,7,8,2,3,1]=>1100000=>96
[8,7,6,5,3,2,4,1]=>1110111=>119
[7,8,6,5,3,2,4,1]=>1110110=>118
[8,6,7,5,3,2,4,1]=>1110110=>118
[7,6,8,5,3,2,4,1]=>1110110=>118
[6,7,8,5,3,2,4,1]=>1110100=>116
[8,7,5,6,3,2,4,1]=>1110101=>117
[8,6,5,7,3,2,4,1]=>1110110=>118
[8,5,6,7,3,2,4,1]=>1110100=>116
[7,6,5,8,3,2,4,1]=>1110110=>118
[6,7,5,8,3,2,4,1]=>1110100=>116
[5,6,7,8,3,2,4,1]=>1110000=>112
[8,7,6,5,2,3,4,1]=>1100111=>103
[8,6,7,5,2,3,4,1]=>1100110=>102
[7,6,8,5,2,3,4,1]=>1100110=>102
[6,7,8,5,2,3,4,1]=>1100100=>100
[8,7,5,6,2,3,4,1]=>1100101=>101
[7,8,5,6,2,3,4,1]=>1100100=>100
[8,6,5,7,2,3,4,1]=>1100110=>102
[8,5,6,7,2,3,4,1]=>1100100=>100
[7,6,5,8,2,3,4,1]=>1100110=>102
[6,7,5,8,2,3,4,1]=>1100100=>100
[6,5,7,8,2,3,4,1]=>1100100=>100
[5,6,7,8,2,3,4,1]=>1100000=>96
[8,7,6,4,3,2,5,1]=>1111011=>123
[7,8,6,4,3,2,5,1]=>1111010=>122
[8,6,7,4,3,2,5,1]=>1111010=>122
[7,6,8,4,3,2,5,1]=>1111010=>122
[6,7,8,4,3,2,5,1]=>1111000=>120
[8,7,6,3,4,2,5,1]=>1110011=>115
[7,8,6,3,4,2,5,1]=>1110010=>114
[8,6,7,3,4,2,5,1]=>1110010=>114
[7,6,8,3,4,2,5,1]=>1110010=>114
[6,7,8,3,4,2,5,1]=>1110000=>112
[8,7,6,4,2,3,5,1]=>1101011=>107
[8,6,7,4,2,3,5,1]=>1101010=>106
[7,6,8,4,2,3,5,1]=>1101010=>106
[6,7,8,4,2,3,5,1]=>1101000=>104
[8,7,6,3,2,4,5,1]=>1110011=>115
[7,8,6,3,2,4,5,1]=>1110010=>114
[8,6,7,3,2,4,5,1]=>1110010=>114
[6,7,8,3,2,4,5,1]=>1110000=>112
[8,7,6,2,3,4,5,1]=>1100011=>99
[7,8,6,2,3,4,5,1]=>1100010=>98
[8,6,7,2,3,4,5,1]=>1100010=>98
[7,6,8,2,3,4,5,1]=>1100010=>98
[6,7,8,2,3,4,5,1]=>1100000=>96
[8,7,5,4,3,2,6,1]=>1111101=>125
[7,8,5,4,3,2,6,1]=>1111100=>124
[8,7,5,3,4,2,6,1]=>1110101=>117
[7,8,5,3,4,2,6,1]=>1110100=>116
[8,7,4,3,5,2,6,1]=>1111001=>121
[7,8,4,3,5,2,6,1]=>1111000=>120
[8,7,5,4,2,3,6,1]=>1101101=>109
[8,7,5,3,2,4,6,1]=>1110101=>117
[8,7,4,3,2,5,6,1]=>1111001=>121
[7,8,4,3,2,5,6,1]=>1111000=>120
[7,8,3,4,2,5,6,1]=>1110000=>112
[7,8,4,2,3,5,6,1]=>1101000=>104
[7,8,3,2,4,5,6,1]=>1110000=>112
[8,7,2,3,4,5,6,1]=>1100001=>97
[7,8,2,3,4,5,6,1]=>1100000=>96
[8,6,5,4,3,2,7,1]=>1111110=>126
[8,5,6,4,3,2,7,1]=>1111100=>124
[8,6,4,5,3,2,7,1]=>1111010=>122
[8,5,4,6,3,2,7,1]=>1111100=>124
[8,6,5,3,4,2,7,1]=>1110110=>118
[8,5,6,3,4,2,7,1]=>1110100=>116
[8,6,4,3,5,2,7,1]=>1111010=>122
[8,6,3,4,5,2,7,1]=>1110010=>114
[8,5,4,3,6,2,7,1]=>1111100=>124
[8,4,5,3,6,2,7,1]=>1111000=>120
[8,4,3,5,6,2,7,1]=>1111000=>120
[8,3,4,5,6,2,7,1]=>1110000=>112
[8,6,5,4,2,3,7,1]=>1101110=>110
[8,5,6,4,2,3,7,1]=>1101100=>108
[8,6,4,5,2,3,7,1]=>1101010=>106
[8,6,5,3,2,4,7,1]=>1110110=>118
[8,6,4,3,2,5,7,1]=>1111010=>122
[8,6,4,2,3,5,7,1]=>1101010=>106
[8,5,4,3,2,6,7,1]=>1111100=>124
[8,4,5,3,2,6,7,1]=>1111000=>120
[8,5,3,4,2,6,7,1]=>1110100=>116
[8,3,4,5,2,6,7,1]=>1110000=>112
[8,5,4,2,3,6,7,1]=>1101100=>108
[8,4,5,2,3,6,7,1]=>1101000=>104
[8,5,2,3,4,6,7,1]=>1100100=>100
[8,4,3,2,5,6,7,1]=>1111000=>120
[8,3,4,2,5,6,7,1]=>1110000=>112
[8,4,2,3,5,6,7,1]=>1101000=>104
[8,3,2,4,5,6,7,1]=>1110000=>112
[8,2,3,4,5,6,7,1]=>1100000=>96
[7,6,5,4,3,2,8,1]=>1111110=>126
[6,7,5,4,3,2,8,1]=>1111100=>124
[7,5,6,4,3,2,8,1]=>1111100=>124
[6,5,7,4,3,2,8,1]=>1111100=>124
[5,6,7,4,3,2,8,1]=>1111000=>120
[7,6,4,5,3,2,8,1]=>1111010=>122
[6,7,4,5,3,2,8,1]=>1111000=>120
[7,4,5,6,3,2,8,1]=>1111000=>120
[6,5,4,7,3,2,8,1]=>1111100=>124
[6,4,5,7,3,2,8,1]=>1111000=>120
[4,5,6,7,3,2,8,1]=>1110000=>112
[7,6,5,3,4,2,8,1]=>1110110=>118
[7,5,6,3,4,2,8,1]=>1110100=>116
[6,5,7,3,4,2,8,1]=>1110100=>116
[5,6,7,3,4,2,8,1]=>1110000=>112
[7,6,4,3,5,2,8,1]=>1111010=>122
[7,6,3,4,5,2,8,1]=>1110010=>114
[7,5,4,3,6,2,8,1]=>1111100=>124
[7,4,5,3,6,2,8,1]=>1111000=>120
[7,5,3,4,6,2,8,1]=>1110100=>116
[7,3,4,5,6,2,8,1]=>1110000=>112
[6,5,4,3,7,2,8,1]=>1111100=>124
[6,4,5,3,7,2,8,1]=>1111000=>120
[5,4,6,3,7,2,8,1]=>1111000=>120
[4,5,6,3,7,2,8,1]=>1110000=>112
[6,5,3,4,7,2,8,1]=>1110100=>116
[5,6,3,4,7,2,8,1]=>1110000=>112
[6,4,3,5,7,2,8,1]=>1111000=>120
[6,3,4,5,7,2,8,1]=>1110000=>112
[5,4,3,6,7,2,8,1]=>1111000=>120
[4,5,3,6,7,2,8,1]=>1110000=>112
[4,3,5,6,7,2,8,1]=>1110000=>112
[3,4,5,6,7,2,8,1]=>1100000=>96
[7,6,5,4,2,3,8,1]=>1101110=>110
[6,7,5,4,2,3,8,1]=>1101100=>108
[7,5,6,4,2,3,8,1]=>1101100=>108
[6,5,7,4,2,3,8,1]=>1101100=>108
[5,6,7,4,2,3,8,1]=>1101000=>104
[7,6,4,5,2,3,8,1]=>1101010=>106
[6,7,4,5,2,3,8,1]=>1101000=>104
[7,5,4,6,2,3,8,1]=>1101100=>108
[7,4,5,6,2,3,8,1]=>1101000=>104
[6,5,4,7,2,3,8,1]=>1101100=>108
[5,6,4,7,2,3,8,1]=>1101000=>104
[6,4,5,7,2,3,8,1]=>1101000=>104
[5,4,6,7,2,3,8,1]=>1101000=>104
[4,5,6,7,2,3,8,1]=>1100000=>96
[7,6,5,3,2,4,8,1]=>1110110=>118
[6,7,5,3,2,4,8,1]=>1110100=>116
[6,5,7,3,2,4,8,1]=>1110100=>116
[7,6,5,2,3,4,8,1]=>1100110=>102
[7,5,6,2,3,4,8,1]=>1100100=>100
[5,6,7,2,3,4,8,1]=>1100000=>96
[6,7,4,3,2,5,8,1]=>1111000=>120
[7,6,4,2,3,5,8,1]=>1101010=>106
[7,6,3,2,4,5,8,1]=>1110010=>114
[6,7,3,2,4,5,8,1]=>1110000=>112
[7,6,2,3,4,5,8,1]=>1100010=>98
[6,7,2,3,4,5,8,1]=>1100000=>96
[7,5,4,3,2,6,8,1]=>1111100=>124
[7,4,3,5,2,6,8,1]=>1111000=>120
[7,5,4,2,3,6,8,1]=>1101100=>108
[7,4,5,2,3,6,8,1]=>1101000=>104
[7,5,3,2,4,6,8,1]=>1110100=>116
[7,5,2,3,4,6,8,1]=>1100100=>100
[7,4,2,3,5,6,8,1]=>1101000=>104
[7,3,2,4,5,6,8,1]=>1110000=>112
[7,2,3,4,5,6,8,1]=>1100000=>96
[6,5,4,3,2,7,8,1]=>1111100=>124
[5,4,6,3,2,7,8,1]=>1111000=>120
[4,5,6,3,2,7,8,1]=>1110000=>112
[6,5,3,4,2,7,8,1]=>1110100=>116
[6,3,4,5,2,7,8,1]=>1110000=>112
[5,4,3,6,2,7,8,1]=>1111000=>120
[4,3,5,6,2,7,8,1]=>1110000=>112
[3,4,5,6,2,7,8,1]=>1100000=>96
[6,5,4,2,3,7,8,1]=>1101100=>108
[5,6,4,2,3,7,8,1]=>1101000=>104
[6,4,5,2,3,7,8,1]=>1101000=>104
[5,4,6,2,3,7,8,1]=>1101000=>104
[4,5,6,2,3,7,8,1]=>1100000=>96
[6,5,3,2,4,7,8,1]=>1110100=>116
[6,5,2,3,4,7,8,1]=>1100100=>100
[6,2,3,4,5,7,8,1]=>1100000=>96
[5,4,3,2,6,7,8,1]=>1111000=>120
[4,5,3,2,6,7,8,1]=>1110000=>112
[5,3,4,2,6,7,8,1]=>1110000=>112
[4,3,5,2,6,7,8,1]=>1110000=>112
[3,4,5,2,6,7,8,1]=>1100000=>96
[5,4,2,3,6,7,8,1]=>1101000=>104
[4,5,2,3,6,7,8,1]=>1100000=>96
[5,3,2,4,6,7,8,1]=>1110000=>112
[5,2,3,4,6,7,8,1]=>1100000=>96
[4,3,2,5,6,7,8,1]=>1110000=>112
[3,4,2,5,6,7,8,1]=>1100000=>96
[4,2,3,5,6,7,8,1]=>1100000=>96
[3,2,4,5,6,7,8,1]=>1100000=>96
[2,3,4,5,6,7,8,1]=>1000000=>64
[8,7,6,5,4,3,1,2]=>1011111=>95
[7,8,6,5,4,3,1,2]=>1011110=>94
[8,6,7,5,4,3,1,2]=>1011110=>94
[7,6,8,5,4,3,1,2]=>1011110=>94
[6,7,8,5,4,3,1,2]=>1011100=>92
[8,7,5,6,4,3,1,2]=>1011101=>93
[7,8,5,6,4,3,1,2]=>1011100=>92
[8,6,5,7,4,3,1,2]=>1011110=>94
[7,6,5,8,4,3,1,2]=>1011110=>94
[6,7,5,8,4,3,1,2]=>1011100=>92
[7,5,6,8,4,3,1,2]=>1011100=>92
[6,5,7,8,4,3,1,2]=>1011100=>92
[5,6,7,8,4,3,1,2]=>1011000=>88
[8,7,6,4,5,3,1,2]=>1011011=>91
[7,8,6,4,5,3,1,2]=>1011010=>90
[8,6,7,4,5,3,1,2]=>1011010=>90
[6,7,8,4,5,3,1,2]=>1011000=>88
[8,7,5,4,6,3,1,2]=>1011101=>93
[7,8,4,5,6,3,1,2]=>1011000=>88
[8,5,6,4,7,3,1,2]=>1011100=>92
[8,6,4,5,7,3,1,2]=>1011010=>90
[8,5,4,6,7,3,1,2]=>1011100=>92
[7,6,5,4,8,3,1,2]=>1011110=>94
[7,5,6,4,8,3,1,2]=>1011100=>92
[6,5,7,4,8,3,1,2]=>1011100=>92
[7,6,4,5,8,3,1,2]=>1011010=>90
[6,7,4,5,8,3,1,2]=>1011000=>88
[6,5,4,7,8,3,1,2]=>1011100=>92
[5,6,4,7,8,3,1,2]=>1011000=>88
[5,4,6,7,8,3,1,2]=>1011000=>88
[4,5,6,7,8,3,1,2]=>1010000=>80
[8,7,6,5,3,4,1,2]=>1010111=>87
[7,8,6,5,3,4,1,2]=>1010110=>86
[7,6,8,5,3,4,1,2]=>1010110=>86
[6,7,8,5,3,4,1,2]=>1010100=>84
[8,7,5,6,3,4,1,2]=>1010101=>85
[7,8,5,6,3,4,1,2]=>1010100=>84
[8,6,5,7,3,4,1,2]=>1010110=>86
[8,5,6,7,3,4,1,2]=>1010100=>84
[7,6,5,8,3,4,1,2]=>1010110=>86
[6,7,5,8,3,4,1,2]=>1010100=>84
[7,5,6,8,3,4,1,2]=>1010100=>84
[6,5,7,8,3,4,1,2]=>1010100=>84
[5,6,7,8,3,4,1,2]=>1010000=>80
[6,7,8,4,3,5,1,2]=>1011000=>88
[8,7,6,3,4,5,1,2]=>1010011=>83
[7,8,6,3,4,5,1,2]=>1010010=>82
[8,6,7,3,4,5,1,2]=>1010010=>82
[6,7,8,3,4,5,1,2]=>1010000=>80
[7,8,5,4,3,6,1,2]=>1011100=>92
[8,7,4,5,3,6,1,2]=>1011001=>89
[7,8,4,5,3,6,1,2]=>1011000=>88
[7,8,5,3,4,6,1,2]=>1010100=>84
[8,7,4,3,5,6,1,2]=>1011001=>89
[7,8,4,3,5,6,1,2]=>1011000=>88
[8,7,3,4,5,6,1,2]=>1010001=>81
[7,8,3,4,5,6,1,2]=>1010000=>80
[8,6,5,4,3,7,1,2]=>1011110=>94
[8,5,4,6,3,7,1,2]=>1011100=>92
[8,5,4,3,6,7,1,2]=>1011100=>92
[8,5,3,4,6,7,1,2]=>1010100=>84
[8,4,3,5,6,7,1,2]=>1011000=>88
[8,3,4,5,6,7,1,2]=>1010000=>80
[7,6,5,4,3,8,1,2]=>1011110=>94
[7,5,6,4,3,8,1,2]=>1011100=>92
[6,5,7,4,3,8,1,2]=>1011100=>92
[5,6,7,4,3,8,1,2]=>1011000=>88
[6,7,4,5,3,8,1,2]=>1011000=>88
[7,5,4,6,3,8,1,2]=>1011100=>92
[6,5,4,7,3,8,1,2]=>1011100=>92
[5,6,4,7,3,8,1,2]=>1011000=>88
[5,4,6,7,3,8,1,2]=>1011000=>88
[4,5,6,7,3,8,1,2]=>1010000=>80
[7,6,5,3,4,8,1,2]=>1010110=>86
[7,5,6,3,4,8,1,2]=>1010100=>84
[5,6,7,3,4,8,1,2]=>1010000=>80
[7,6,4,3,5,8,1,2]=>1011010=>90
[7,6,3,4,5,8,1,2]=>1010010=>82
[7,5,4,3,6,8,1,2]=>1011100=>92
[7,4,5,3,6,8,1,2]=>1011000=>88
[7,5,3,4,6,8,1,2]=>1010100=>84
[7,3,4,5,6,8,1,2]=>1010000=>80
[6,5,4,3,7,8,1,2]=>1011100=>92
[5,6,4,3,7,8,1,2]=>1011000=>88
[5,4,6,3,7,8,1,2]=>1011000=>88
[4,5,6,3,7,8,1,2]=>1010000=>80
[6,5,3,4,7,8,1,2]=>1010100=>84
[5,6,3,4,7,8,1,2]=>1010000=>80
[6,4,3,5,7,8,1,2]=>1011000=>88
[6,3,4,5,7,8,1,2]=>1010000=>80
[5,4,3,6,7,8,1,2]=>1011000=>88
[4,5,3,6,7,8,1,2]=>1010000=>80
[5,3,4,6,7,8,1,2]=>1010000=>80
[4,3,5,6,7,8,1,2]=>1010000=>80
[3,4,5,6,7,8,1,2]=>1000000=>64
[8,7,6,5,4,2,1,3]=>1101111=>111
[7,8,6,5,4,2,1,3]=>1101110=>110
[8,6,7,5,4,2,1,3]=>1101110=>110
[7,6,8,5,4,2,1,3]=>1101110=>110
[6,7,8,5,4,2,1,3]=>1101100=>108
[8,7,5,6,4,2,1,3]=>1101101=>109
[7,8,5,6,4,2,1,3]=>1101100=>108
[8,6,5,7,4,2,1,3]=>1101110=>110
[7,6,5,8,4,2,1,3]=>1101110=>110
[6,7,5,8,4,2,1,3]=>1101100=>108
[7,5,6,8,4,2,1,3]=>1101100=>108
[6,5,7,8,4,2,1,3]=>1101100=>108
[5,6,7,8,4,2,1,3]=>1101000=>104
[8,7,6,4,5,2,1,3]=>1101011=>107
[8,6,7,4,5,2,1,3]=>1101010=>106
[7,6,8,4,5,2,1,3]=>1101010=>106
[8,7,4,5,6,2,1,3]=>1101001=>105
[8,6,5,4,7,2,1,3]=>1101110=>110
[8,6,4,5,7,2,1,3]=>1101010=>106
[8,4,5,6,7,2,1,3]=>1101000=>104
[7,6,5,4,8,2,1,3]=>1101110=>110
[6,7,5,4,8,2,1,3]=>1101100=>108
[7,5,6,4,8,2,1,3]=>1101100=>108
[6,5,7,4,8,2,1,3]=>1101100=>108
[5,6,7,4,8,2,1,3]=>1101000=>104
[7,6,4,5,8,2,1,3]=>1101010=>106
[7,4,5,6,8,2,1,3]=>1101000=>104
[5,4,6,7,8,2,1,3]=>1101000=>104
[4,5,6,7,8,2,1,3]=>1100000=>96
[8,7,6,5,4,1,2,3]=>1001111=>79
[7,8,6,5,4,1,2,3]=>1001110=>78
[7,6,8,5,4,1,2,3]=>1001110=>78
[6,7,8,5,4,1,2,3]=>1001100=>76
[7,8,5,6,4,1,2,3]=>1001100=>76
[8,6,5,7,4,1,2,3]=>1001110=>78
[8,5,6,7,4,1,2,3]=>1001100=>76
[7,6,5,8,4,1,2,3]=>1001110=>78
[6,7,5,8,4,1,2,3]=>1001100=>76
[7,5,6,8,4,1,2,3]=>1001100=>76
[6,5,7,8,4,1,2,3]=>1001100=>76
[5,6,7,8,4,1,2,3]=>1001000=>72
[8,7,6,4,5,1,2,3]=>1001011=>75
[8,6,7,4,5,1,2,3]=>1001010=>74
[6,7,8,4,5,1,2,3]=>1001000=>72
[8,7,5,4,6,1,2,3]=>1001101=>77
[7,8,5,4,6,1,2,3]=>1001100=>76
[8,7,4,5,6,1,2,3]=>1001001=>73
[7,8,4,5,6,1,2,3]=>1001000=>72
[8,6,5,4,7,1,2,3]=>1001110=>78
[8,5,6,4,7,1,2,3]=>1001100=>76
[8,6,4,5,7,1,2,3]=>1001010=>74
[8,5,4,6,7,1,2,3]=>1001100=>76
[8,4,5,6,7,1,2,3]=>1001000=>72
[7,6,5,4,8,1,2,3]=>1001110=>78
[6,7,5,4,8,1,2,3]=>1001100=>76
[7,5,6,4,8,1,2,3]=>1001100=>76
[6,5,7,4,8,1,2,3]=>1001100=>76
[5,6,7,4,8,1,2,3]=>1001000=>72
[7,6,4,5,8,1,2,3]=>1001010=>74
[6,7,4,5,8,1,2,3]=>1001000=>72
[7,5,4,6,8,1,2,3]=>1001100=>76
[7,4,5,6,8,1,2,3]=>1001000=>72
[6,5,4,7,8,1,2,3]=>1001100=>76
[5,6,4,7,8,1,2,3]=>1001000=>72
[6,4,5,7,8,1,2,3]=>1001000=>72
[5,4,6,7,8,1,2,3]=>1001000=>72
[4,5,6,7,8,1,2,3]=>1000000=>64
[8,7,6,5,3,2,1,4]=>1110111=>119
[7,8,6,5,3,2,1,4]=>1110110=>118
[8,6,7,5,3,2,1,4]=>1110110=>118
[7,6,8,5,3,2,1,4]=>1110110=>118
[6,7,8,5,3,2,1,4]=>1110100=>116
[8,7,5,6,3,2,1,4]=>1110101=>117
[7,8,5,6,3,2,1,4]=>1110100=>116
[8,6,5,7,3,2,1,4]=>1110110=>118
[8,5,6,7,3,2,1,4]=>1110100=>116
[7,6,5,8,3,2,1,4]=>1110110=>118
[6,7,5,8,3,2,1,4]=>1110100=>116
[7,5,6,8,3,2,1,4]=>1110100=>116
[6,5,7,8,3,2,1,4]=>1110100=>116
[5,6,7,8,3,2,1,4]=>1110000=>112
[8,7,6,5,2,3,1,4]=>1100111=>103
[7,8,6,5,2,3,1,4]=>1100110=>102
[8,6,7,5,2,3,1,4]=>1100110=>102
[7,6,8,5,2,3,1,4]=>1100110=>102
[6,7,8,5,2,3,1,4]=>1100100=>100
[8,7,5,6,2,3,1,4]=>1100101=>101
[7,8,5,6,2,3,1,4]=>1100100=>100
[8,6,5,7,2,3,1,4]=>1100110=>102
[8,5,6,7,2,3,1,4]=>1100100=>100
[7,6,5,8,2,3,1,4]=>1100110=>102
[6,7,5,8,2,3,1,4]=>1100100=>100
[7,5,6,8,2,3,1,4]=>1100100=>100
[6,5,7,8,2,3,1,4]=>1100100=>100
[5,6,7,8,2,3,1,4]=>1100000=>96
[8,7,6,5,3,1,2,4]=>1010111=>87
[7,8,6,5,3,1,2,4]=>1010110=>86
[8,6,7,5,3,1,2,4]=>1010110=>86
[7,6,8,5,3,1,2,4]=>1010110=>86
[8,7,5,6,3,1,2,4]=>1010101=>85
[7,8,5,6,3,1,2,4]=>1010100=>84
[8,6,5,7,3,1,2,4]=>1010110=>86
[7,6,5,8,3,1,2,4]=>1010110=>86
[6,7,5,8,3,1,2,4]=>1010100=>84
[7,5,6,8,3,1,2,4]=>1010100=>84
[6,5,7,8,3,1,2,4]=>1010100=>84
[5,6,7,8,3,1,2,4]=>1010000=>80
[8,7,6,5,2,1,3,4]=>1100111=>103
[7,8,6,5,2,1,3,4]=>1100110=>102
[7,6,8,5,2,1,3,4]=>1100110=>102
[6,7,8,5,2,1,3,4]=>1100100=>100
[8,7,5,6,2,1,3,4]=>1100101=>101
[7,8,5,6,2,1,3,4]=>1100100=>100
[8,6,5,7,2,1,3,4]=>1100110=>102
[8,5,6,7,2,1,3,4]=>1100100=>100
[7,6,5,8,2,1,3,4]=>1100110=>102
[6,7,5,8,2,1,3,4]=>1100100=>100
[7,5,6,8,2,1,3,4]=>1100100=>100
[6,5,7,8,2,1,3,4]=>1100100=>100
[5,6,7,8,2,1,3,4]=>1100000=>96
[8,7,6,5,1,2,3,4]=>1000111=>71
[7,8,6,5,1,2,3,4]=>1000110=>70
[8,6,7,5,1,2,3,4]=>1000110=>70
[7,6,8,5,1,2,3,4]=>1000110=>70
[6,7,8,5,1,2,3,4]=>1000100=>68
[8,7,5,6,1,2,3,4]=>1000101=>69
[7,8,5,6,1,2,3,4]=>1000100=>68
[8,6,5,7,1,2,3,4]=>1000110=>70
[8,5,6,7,1,2,3,4]=>1000100=>68
[7,6,5,8,1,2,3,4]=>1000110=>70
[6,7,5,8,1,2,3,4]=>1000100=>68
[7,5,6,8,1,2,3,4]=>1000100=>68
[6,5,7,8,1,2,3,4]=>1000100=>68
[5,6,7,8,1,2,3,4]=>1000000=>64
[8,7,6,4,3,2,1,5]=>1111011=>123
[7,8,6,4,3,2,1,5]=>1111010=>122
[8,6,7,4,3,2,1,5]=>1111010=>122
[7,6,8,4,3,2,1,5]=>1111010=>122
[6,7,8,4,3,2,1,5]=>1111000=>120
[8,7,6,3,4,2,1,5]=>1110011=>115
[7,8,6,3,4,2,1,5]=>1110010=>114
[6,7,8,3,4,2,1,5]=>1110000=>112
[8,7,6,4,2,3,1,5]=>1101011=>107
[8,6,7,4,2,3,1,5]=>1101010=>106
[7,6,8,4,2,3,1,5]=>1101010=>106
[6,7,8,4,2,3,1,5]=>1101000=>104
[8,7,6,3,2,4,1,5]=>1110011=>115
[8,6,7,3,2,4,1,5]=>1110010=>114
[6,7,8,3,2,4,1,5]=>1110000=>112
[8,7,6,2,3,4,1,5]=>1100011=>99
[8,6,7,2,3,4,1,5]=>1100010=>98
[7,6,8,2,3,4,1,5]=>1100010=>98
[6,7,8,2,3,4,1,5]=>1100000=>96
[8,7,6,4,3,1,2,5]=>1011011=>91
[6,7,8,4,3,1,2,5]=>1011000=>88
[8,7,6,3,4,1,2,5]=>1010011=>83
[7,8,6,3,4,1,2,5]=>1010010=>82
[8,6,7,3,4,1,2,5]=>1010010=>82
[6,7,8,3,4,1,2,5]=>1010000=>80
[8,7,6,4,2,1,3,5]=>1101011=>107
[7,8,6,4,2,1,3,5]=>1101010=>106
[8,6,7,4,2,1,3,5]=>1101010=>106
[6,7,8,4,2,1,3,5]=>1101000=>104
[8,7,6,4,1,2,3,5]=>1001011=>75
[7,8,6,4,1,2,3,5]=>1001010=>74
[7,6,8,4,1,2,3,5]=>1001010=>74
[6,7,8,4,1,2,3,5]=>1001000=>72
[8,7,6,3,2,1,4,5]=>1110011=>115
[7,8,6,3,2,1,4,5]=>1110010=>114
[8,6,7,3,2,1,4,5]=>1110010=>114
[7,6,8,3,2,1,4,5]=>1110010=>114
[6,7,8,3,2,1,4,5]=>1110000=>112
[8,7,6,2,3,1,4,5]=>1100011=>99
[7,8,6,2,3,1,4,5]=>1100010=>98
[8,6,7,2,3,1,4,5]=>1100010=>98
[7,6,8,2,3,1,4,5]=>1100010=>98
[6,7,8,2,3,1,4,5]=>1100000=>96
[8,7,6,3,1,2,4,5]=>1010011=>83
[7,8,6,3,1,2,4,5]=>1010010=>82
[8,6,7,3,1,2,4,5]=>1010010=>82
[7,6,8,3,1,2,4,5]=>1010010=>82
[6,7,8,3,1,2,4,5]=>1010000=>80
[8,7,6,2,1,3,4,5]=>1100011=>99
[7,8,6,2,1,3,4,5]=>1100010=>98
[8,6,7,2,1,3,4,5]=>1100010=>98
[6,7,8,2,1,3,4,5]=>1100000=>96
[8,7,6,1,2,3,4,5]=>1000011=>67
[7,8,6,1,2,3,4,5]=>1000010=>66
[8,6,7,1,2,3,4,5]=>1000010=>66
[7,6,8,1,2,3,4,5]=>1000010=>66
[6,7,8,1,2,3,4,5]=>1000000=>64
[8,7,5,4,3,2,1,6]=>1111101=>125
[7,8,5,4,3,2,1,6]=>1111100=>124
[8,7,4,5,3,2,1,6]=>1111001=>121
[7,8,4,5,3,2,1,6]=>1111000=>120
[8,7,5,3,4,2,1,6]=>1110101=>117
[8,7,4,3,5,2,1,6]=>1111001=>121
[8,7,3,4,5,2,1,6]=>1110001=>113
[7,8,3,4,5,2,1,6]=>1110000=>112
[8,7,4,5,2,3,1,6]=>1101001=>105
[7,8,4,5,2,3,1,6]=>1101000=>104
[8,7,5,3,2,4,1,6]=>1110101=>117
[7,8,5,2,3,4,1,6]=>1100100=>100
[8,7,4,3,2,5,1,6]=>1111001=>121
[7,8,4,3,2,5,1,6]=>1111000=>120
[8,7,3,4,2,5,1,6]=>1110001=>113
[7,8,3,4,2,5,1,6]=>1110000=>112
[8,7,2,3,4,5,1,6]=>1100001=>97
[7,8,2,3,4,5,1,6]=>1100000=>96
[8,7,5,4,3,1,2,6]=>1011101=>93
[7,8,5,4,3,1,2,6]=>1011100=>92
[8,7,5,3,4,1,2,6]=>1010101=>85
[7,8,5,3,4,1,2,6]=>1010100=>84
[8,7,3,4,5,1,2,6]=>1010001=>81
[7,8,3,4,5,1,2,6]=>1010000=>80
[7,8,5,4,2,1,3,6]=>1101100=>108
[8,7,5,4,1,2,3,6]=>1001101=>77
[7,8,5,4,1,2,3,6]=>1001100=>76
[8,7,4,5,1,2,3,6]=>1001001=>73
[7,8,4,5,1,2,3,6]=>1001000=>72
[8,7,5,3,2,1,4,6]=>1110101=>117
[7,8,5,3,2,1,4,6]=>1110100=>116
[8,7,5,2,3,1,4,6]=>1100101=>101
[8,7,5,3,1,2,4,6]=>1010101=>85
[7,8,5,3,1,2,4,6]=>1010100=>84
[8,7,5,2,1,3,4,6]=>1100101=>101
[7,8,5,2,1,3,4,6]=>1100100=>100
[8,7,5,1,2,3,4,6]=>1000101=>69
[7,8,5,1,2,3,4,6]=>1000100=>68
[8,7,4,3,2,1,5,6]=>1111001=>121
[7,8,4,3,2,1,5,6]=>1111000=>120
[8,7,3,4,2,1,5,6]=>1110001=>113
[7,8,3,4,2,1,5,6]=>1110000=>112
[7,8,4,2,3,1,5,6]=>1101000=>104
[8,7,3,2,4,1,5,6]=>1110001=>113
[7,8,3,2,4,1,5,6]=>1110000=>112
[8,7,2,3,4,1,5,6]=>1100001=>97
[7,8,2,3,4,1,5,6]=>1100000=>96
[7,8,4,3,1,2,5,6]=>1011000=>88
[8,7,3,4,1,2,5,6]=>1010001=>81
[7,8,3,4,1,2,5,6]=>1010000=>80
[8,7,4,2,1,3,5,6]=>1101001=>105
[7,8,4,2,1,3,5,6]=>1101000=>104
[8,7,4,1,2,3,5,6]=>1001001=>73
[7,8,4,1,2,3,5,6]=>1001000=>72
[8,7,3,2,1,4,5,6]=>1110001=>113
[7,8,3,2,1,4,5,6]=>1110000=>112
[8,7,2,3,1,4,5,6]=>1100001=>97
[7,8,2,3,1,4,5,6]=>1100000=>96
[7,8,3,1,2,4,5,6]=>1010000=>80
[8,7,2,1,3,4,5,6]=>1100001=>97
[7,8,2,1,3,4,5,6]=>1100000=>96
[8,7,1,2,3,4,5,6]=>1000001=>65
[7,8,1,2,3,4,5,6]=>1000000=>64
[8,6,5,4,3,2,1,7]=>1111110=>126
[8,5,6,4,3,2,1,7]=>1111100=>124
[8,6,4,5,3,2,1,7]=>1111010=>122
[8,5,4,6,3,2,1,7]=>1111100=>124
[8,4,5,6,3,2,1,7]=>1111000=>120
[8,6,5,3,4,2,1,7]=>1110110=>118
[8,5,6,3,4,2,1,7]=>1110100=>116
[8,6,4,3,5,2,1,7]=>1111010=>122
[8,4,5,3,6,2,1,7]=>1111000=>120
[8,4,3,5,6,2,1,7]=>1111000=>120
[8,3,4,5,6,2,1,7]=>1110000=>112
[8,6,5,4,2,3,1,7]=>1101110=>110
[8,5,6,4,2,3,1,7]=>1101100=>108
[8,6,4,5,2,3,1,7]=>1101010=>106
[8,4,5,6,2,3,1,7]=>1101000=>104
[8,6,5,3,2,4,1,7]=>1110110=>118
[8,6,5,2,3,4,1,7]=>1100110=>102
[8,5,6,2,3,4,1,7]=>1100100=>100
[8,6,4,3,2,5,1,7]=>1111010=>122
[8,6,4,2,3,5,1,7]=>1101010=>106
[8,6,3,2,4,5,1,7]=>1110010=>114
[8,5,4,3,2,6,1,7]=>1111100=>124
[8,4,3,5,2,6,1,7]=>1111000=>120
[8,5,4,2,3,6,1,7]=>1101100=>108
[8,4,5,2,3,6,1,7]=>1101000=>104
[8,5,3,2,4,6,1,7]=>1110100=>116
[8,5,2,3,4,6,1,7]=>1100100=>100
[8,3,4,2,5,6,1,7]=>1110000=>112
[8,3,2,4,5,6,1,7]=>1110000=>112
[8,2,3,4,5,6,1,7]=>1100000=>96
[8,6,5,4,3,1,2,7]=>1011110=>94
[8,6,4,5,3,1,2,7]=>1011010=>90
[8,6,5,3,4,1,2,7]=>1010110=>86
[8,5,6,3,4,1,2,7]=>1010100=>84
[8,6,3,4,5,1,2,7]=>1010010=>82
[8,5,4,3,6,1,2,7]=>1011100=>92
[8,4,5,3,6,1,2,7]=>1011000=>88
[8,5,3,4,6,1,2,7]=>1010100=>84
[8,4,3,5,6,1,2,7]=>1011000=>88
[8,3,4,5,6,1,2,7]=>1010000=>80
[8,6,5,4,2,1,3,7]=>1101110=>110
[8,5,6,4,2,1,3,7]=>1101100=>108
[8,6,4,5,2,1,3,7]=>1101010=>106
[8,4,5,6,2,1,3,7]=>1101000=>104
[8,6,5,4,1,2,3,7]=>1001110=>78
[8,5,6,4,1,2,3,7]=>1001100=>76
[8,6,4,5,1,2,3,7]=>1001010=>74
[8,4,5,6,1,2,3,7]=>1001000=>72
[8,6,5,3,2,1,4,7]=>1110110=>118
[8,5,6,3,2,1,4,7]=>1110100=>116
[8,6,5,2,3,1,4,7]=>1100110=>102
[8,5,6,2,3,1,4,7]=>1100100=>100
[8,5,6,3,1,2,4,7]=>1010100=>84
[8,6,5,2,1,3,4,7]=>1100110=>102
[8,5,6,2,1,3,4,7]=>1100100=>100
[8,6,5,1,2,3,4,7]=>1000110=>70
[8,5,6,1,2,3,4,7]=>1000100=>68
[8,6,4,3,2,1,5,7]=>1111010=>122
[8,6,3,4,2,1,5,7]=>1110010=>114
[8,6,4,2,3,1,5,7]=>1101010=>106
[8,6,3,2,4,1,5,7]=>1110010=>114
[8,6,2,3,4,1,5,7]=>1100010=>98
[8,6,4,3,1,2,5,7]=>1011010=>90
[8,6,3,4,1,2,5,7]=>1010010=>82
[8,6,4,2,1,3,5,7]=>1101010=>106
[8,6,3,2,1,4,5,7]=>1110010=>114
[8,6,1,2,3,4,5,7]=>1000010=>66
[8,5,4,3,2,1,6,7]=>1111100=>124
[8,4,5,3,2,1,6,7]=>1111000=>120
[8,4,3,5,2,1,6,7]=>1111000=>120
[8,3,4,5,2,1,6,7]=>1110000=>112
[8,4,5,2,3,1,6,7]=>1101000=>104
[8,4,2,3,5,1,6,7]=>1101000=>104
[8,2,3,4,5,1,6,7]=>1100000=>96
[8,5,3,4,1,2,6,7]=>1010100=>84
[8,3,4,5,1,2,6,7]=>1010000=>80
[8,5,4,2,1,3,6,7]=>1101100=>108
[8,5,4,1,2,3,6,7]=>1001100=>76
[8,4,5,1,2,3,6,7]=>1001000=>72
[8,5,3,2,1,4,6,7]=>1110100=>116
[8,5,3,1,2,4,6,7]=>1010100=>84
[8,5,2,1,3,4,6,7]=>1100100=>100
[8,5,1,2,3,4,6,7]=>1000100=>68
[8,4,3,2,1,5,6,7]=>1111000=>120
[8,3,4,2,1,5,6,7]=>1110000=>112
[8,4,2,3,1,5,6,7]=>1101000=>104
[8,2,3,4,1,5,6,7]=>1100000=>96
[8,3,4,1,2,5,6,7]=>1010000=>80
[8,4,2,1,3,5,6,7]=>1101000=>104
[8,4,1,2,3,5,6,7]=>1001000=>72
[8,3,2,1,4,5,6,7]=>1110000=>112
[8,2,3,1,4,5,6,7]=>1100000=>96
[8,3,1,2,4,5,6,7]=>1010000=>80
[8,2,1,3,4,5,6,7]=>1100000=>96
[8,1,2,3,4,5,6,7]=>1000000=>64
[7,6,5,4,3,2,1,8]=>1111110=>126
[6,7,5,4,3,2,1,8]=>1111100=>124
[7,5,6,4,3,2,1,8]=>1111100=>124
[6,5,7,4,3,2,1,8]=>1111100=>124
[5,6,7,4,3,2,1,8]=>1111000=>120
[7,6,4,5,3,2,1,8]=>1111010=>122
[6,7,4,5,3,2,1,8]=>1111000=>120
[7,5,4,6,3,2,1,8]=>1111100=>124
[7,4,5,6,3,2,1,8]=>1111000=>120
[6,5,4,7,3,2,1,8]=>1111100=>124
[5,6,4,7,3,2,1,8]=>1111000=>120
[5,4,6,7,3,2,1,8]=>1111000=>120
[4,5,6,7,3,2,1,8]=>1110000=>112
[7,6,5,3,4,2,1,8]=>1110110=>118
[6,7,5,3,4,2,1,8]=>1110100=>116
[7,5,6,3,4,2,1,8]=>1110100=>116
[6,5,7,3,4,2,1,8]=>1110100=>116
[5,6,7,3,4,2,1,8]=>1110000=>112
[7,6,4,3,5,2,1,8]=>1111010=>122
[6,7,4,3,5,2,1,8]=>1111000=>120
[7,6,3,4,5,2,1,8]=>1110010=>114
[7,5,4,3,6,2,1,8]=>1111100=>124
[7,4,5,3,6,2,1,8]=>1111000=>120
[7,3,4,5,6,2,1,8]=>1110000=>112
[6,5,4,3,7,2,1,8]=>1111100=>124
[5,6,4,3,7,2,1,8]=>1111000=>120
[5,4,6,3,7,2,1,8]=>1111000=>120
[5,4,3,6,7,2,1,8]=>1111000=>120
[3,4,5,6,7,2,1,8]=>1100000=>96
[7,6,5,4,2,3,1,8]=>1101110=>110
[6,7,5,4,2,3,1,8]=>1101100=>108
[7,5,6,4,2,3,1,8]=>1101100=>108
[5,6,7,4,2,3,1,8]=>1101000=>104
[7,6,4,5,2,3,1,8]=>1101010=>106
[6,7,4,5,2,3,1,8]=>1101000=>104
[7,5,4,6,2,3,1,8]=>1101100=>108
[7,4,5,6,2,3,1,8]=>1101000=>104
[6,5,4,7,2,3,1,8]=>1101100=>108
[5,6,4,7,2,3,1,8]=>1101000=>104
[5,4,6,7,2,3,1,8]=>1101000=>104
[4,5,6,7,2,3,1,8]=>1100000=>96
[7,6,5,3,2,4,1,8]=>1110110=>118
[6,5,7,3,2,4,1,8]=>1110100=>116
[5,6,7,3,2,4,1,8]=>1110000=>112
[7,6,5,2,3,4,1,8]=>1100110=>102
[6,7,5,2,3,4,1,8]=>1100100=>100
[7,5,6,2,3,4,1,8]=>1100100=>100
[6,5,7,2,3,4,1,8]=>1100100=>100
[5,6,7,2,3,4,1,8]=>1100000=>96
[7,6,4,3,2,5,1,8]=>1111010=>122
[6,7,4,3,2,5,1,8]=>1111000=>120
[6,7,3,4,2,5,1,8]=>1110000=>112
[7,6,4,2,3,5,1,8]=>1101010=>106
[6,7,4,2,3,5,1,8]=>1101000=>104
[7,6,3,2,4,5,1,8]=>1110010=>114
[6,7,3,2,4,5,1,8]=>1110000=>112
[7,6,2,3,4,5,1,8]=>1100010=>98
[6,7,2,3,4,5,1,8]=>1100000=>96
[7,5,4,3,2,6,1,8]=>1111100=>124
[7,4,5,3,2,6,1,8]=>1111000=>120
[7,5,3,4,2,6,1,8]=>1110100=>116
[7,4,3,5,2,6,1,8]=>1111000=>120
[7,5,4,2,3,6,1,8]=>1101100=>108
[7,4,5,2,3,6,1,8]=>1101000=>104
[7,5,3,2,4,6,1,8]=>1110100=>116
[7,2,3,4,5,6,1,8]=>1100000=>96
[6,5,4,3,2,7,1,8]=>1111100=>124
[5,6,4,3,2,7,1,8]=>1111000=>120
[5,4,6,3,2,7,1,8]=>1111000=>120
[5,6,3,4,2,7,1,8]=>1110000=>112
[6,3,4,5,2,7,1,8]=>1110000=>112
[5,4,3,6,2,7,1,8]=>1111000=>120
[4,5,3,6,2,7,1,8]=>1110000=>112
[5,3,4,6,2,7,1,8]=>1110000=>112
[4,3,5,6,2,7,1,8]=>1110000=>112
[3,4,5,6,2,7,1,8]=>1100000=>96
[5,4,6,2,3,7,1,8]=>1101000=>104
[6,5,3,2,4,7,1,8]=>1110100=>116
[6,3,2,4,5,7,1,8]=>1110000=>112
[6,2,3,4,5,7,1,8]=>1100000=>96
[5,4,3,2,6,7,1,8]=>1111000=>120
[3,4,5,2,6,7,1,8]=>1100000=>96
[5,4,2,3,6,7,1,8]=>1101000=>104
[4,5,2,3,6,7,1,8]=>1100000=>96
[5,2,3,4,6,7,1,8]=>1100000=>96
[4,3,2,5,6,7,1,8]=>1110000=>112
[3,4,2,5,6,7,1,8]=>1100000=>96
[4,2,3,5,6,7,1,8]=>1100000=>96
[3,2,4,5,6,7,1,8]=>1100000=>96
[2,3,4,5,6,7,1,8]=>1000000=>64
[7,6,5,4,3,1,2,8]=>1011110=>94
[6,7,5,4,3,1,2,8]=>1011100=>92
[7,5,6,4,3,1,2,8]=>1011100=>92
[7,6,4,5,3,1,2,8]=>1011010=>90
[7,4,5,6,3,1,2,8]=>1011000=>88
[5,4,6,7,3,1,2,8]=>1011000=>88
[4,5,6,7,3,1,2,8]=>1010000=>80
[7,6,5,3,4,1,2,8]=>1010110=>86
[7,5,6,3,4,1,2,8]=>1010100=>84
[6,5,7,3,4,1,2,8]=>1010100=>84
[6,7,3,4,5,1,2,8]=>1010000=>80
[7,5,3,4,6,1,2,8]=>1010100=>84
[6,5,4,3,7,1,2,8]=>1011100=>92
[6,4,5,3,7,1,2,8]=>1011000=>88
[5,6,3,4,7,1,2,8]=>1010000=>80
[6,4,3,5,7,1,2,8]=>1011000=>88
[6,3,4,5,7,1,2,8]=>1010000=>80
[4,3,5,6,7,1,2,8]=>1010000=>80
[3,4,5,6,7,1,2,8]=>1000000=>64
[7,6,5,4,2,1,3,8]=>1101110=>110
[6,5,7,4,2,1,3,8]=>1101100=>108
[7,6,4,5,2,1,3,8]=>1101010=>106
[7,5,4,6,2,1,3,8]=>1101100=>108
[7,4,5,6,2,1,3,8]=>1101000=>104
[5,4,6,7,2,1,3,8]=>1101000=>104
[4,5,6,7,2,1,3,8]=>1100000=>96
[7,6,5,4,1,2,3,8]=>1001110=>78
[7,5,6,4,1,2,3,8]=>1001100=>76
[5,6,7,4,1,2,3,8]=>1001000=>72
[7,6,4,5,1,2,3,8]=>1001010=>74
[7,5,4,6,1,2,3,8]=>1001100=>76
[7,4,5,6,1,2,3,8]=>1001000=>72
[5,6,4,7,1,2,3,8]=>1001000=>72
[5,4,6,7,1,2,3,8]=>1001000=>72
[4,5,6,7,1,2,3,8]=>1000000=>64
[7,6,5,3,2,1,4,8]=>1110110=>118
[7,6,5,2,3,1,4,8]=>1100110=>102
[6,7,5,2,3,1,4,8]=>1100100=>100
[7,5,6,2,3,1,4,8]=>1100100=>100
[6,5,7,2,3,1,4,8]=>1100100=>100
[5,6,7,2,3,1,4,8]=>1100000=>96
[7,5,6,3,1,2,4,8]=>1010100=>84
[5,6,7,3,1,2,4,8]=>1010000=>80
[7,6,5,2,1,3,4,8]=>1100110=>102
[6,7,5,2,1,3,4,8]=>1100100=>100
[7,5,6,2,1,3,4,8]=>1100100=>100
[5,6,7,2,1,3,4,8]=>1100000=>96
[7,6,5,1,2,3,4,8]=>1000110=>70
[6,7,5,1,2,3,4,8]=>1000100=>68
[7,5,6,1,2,3,4,8]=>1000100=>68
[6,5,7,1,2,3,4,8]=>1000100=>68
[5,6,7,1,2,3,4,8]=>1000000=>64
[7,6,4,3,2,1,5,8]=>1111010=>122
[6,7,4,3,2,1,5,8]=>1111000=>120
[7,6,3,4,2,1,5,8]=>1110010=>114
[6,7,3,4,2,1,5,8]=>1110000=>112
[7,6,4,2,3,1,5,8]=>1101010=>106
[7,6,3,2,4,1,5,8]=>1110010=>114
[6,7,3,2,4,1,5,8]=>1110000=>112
[7,6,2,3,4,1,5,8]=>1100010=>98
[6,7,2,3,4,1,5,8]=>1100000=>96
[7,6,4,3,1,2,5,8]=>1011010=>90
[6,7,3,4,1,2,5,8]=>1010000=>80
[7,6,4,2,1,3,5,8]=>1101010=>106
[7,6,3,2,1,4,5,8]=>1110010=>114
[6,7,3,2,1,4,5,8]=>1110000=>112
[7,6,2,3,1,4,5,8]=>1100010=>98
[6,7,2,3,1,4,5,8]=>1100000=>96
[6,7,3,1,2,4,5,8]=>1010000=>80
[7,6,1,2,3,4,5,8]=>1000010=>66
[6,7,1,2,3,4,5,8]=>1000000=>64
[7,5,4,3,2,1,6,8]=>1111100=>124
[7,4,5,3,2,1,6,8]=>1111000=>120
[7,4,3,5,2,1,6,8]=>1111000=>120
[7,3,4,5,2,1,6,8]=>1110000=>112
[7,5,4,2,3,1,6,8]=>1101100=>108
[7,5,3,2,4,1,6,8]=>1110100=>116
[7,5,2,3,4,1,6,8]=>1100100=>100
[7,4,2,3,5,1,6,8]=>1101000=>104
[7,2,3,4,5,1,6,8]=>1100000=>96
[7,5,4,3,1,2,6,8]=>1011100=>92
[7,5,3,4,1,2,6,8]=>1010100=>84
[7,4,5,2,1,3,6,8]=>1101000=>104
[7,4,5,1,2,3,6,8]=>1001000=>72
[7,5,3,2,1,4,6,8]=>1110100=>116
[7,5,2,3,1,4,6,8]=>1100100=>100
[7,5,3,1,2,4,6,8]=>1010100=>84
[7,5,1,2,3,4,6,8]=>1000100=>68
[7,4,3,2,1,5,6,8]=>1111000=>120
[7,2,3,4,1,5,6,8]=>1100000=>96
[7,4,3,1,2,5,6,8]=>1011000=>88
[7,3,4,1,2,5,6,8]=>1010000=>80
[7,4,1,2,3,5,6,8]=>1001000=>72
[7,3,2,1,4,5,6,8]=>1110000=>112
[7,2,3,1,4,5,6,8]=>1100000=>96
[7,3,1,2,4,5,6,8]=>1010000=>80
[7,2,1,3,4,5,6,8]=>1100000=>96
[7,1,2,3,4,5,6,8]=>1000000=>64
[6,5,4,3,2,1,7,8]=>1111100=>124
[5,6,4,3,2,1,7,8]=>1111000=>120
[5,4,6,3,2,1,7,8]=>1111000=>120
[4,5,6,3,2,1,7,8]=>1110000=>112
[6,5,3,4,2,1,7,8]=>1110100=>116
[5,6,3,4,2,1,7,8]=>1110000=>112
[5,4,3,6,2,1,7,8]=>1111000=>120
[3,4,5,6,2,1,7,8]=>1100000=>96
[5,4,6,2,3,1,7,8]=>1101000=>104
[5,6,3,2,4,1,7,8]=>1110000=>112
[6,5,2,3,4,1,7,8]=>1100100=>100
[5,6,2,3,4,1,7,8]=>1100000=>96
[6,4,3,2,5,1,7,8]=>1111000=>120
[6,2,3,4,5,1,7,8]=>1100000=>96
[5,4,3,2,6,1,7,8]=>1111000=>120
[4,5,3,2,6,1,7,8]=>1110000=>112
[4,3,5,2,6,1,7,8]=>1110000=>112
[3,4,5,2,6,1,7,8]=>1100000=>96
[5,3,2,4,6,1,7,8]=>1110000=>112
[5,2,3,4,6,1,7,8]=>1100000=>96
[4,3,2,5,6,1,7,8]=>1110000=>112
[3,4,2,5,6,1,7,8]=>1100000=>96
[4,2,3,5,6,1,7,8]=>1100000=>96
[3,2,4,5,6,1,7,8]=>1100000=>96
[2,3,4,5,6,1,7,8]=>1000000=>64
[6,5,4,3,1,2,7,8]=>1011100=>92
[5,6,4,3,1,2,7,8]=>1011000=>88
[6,4,5,3,1,2,7,8]=>1011000=>88
[5,4,6,3,1,2,7,8]=>1011000=>88
[5,6,3,4,1,2,7,8]=>1010000=>80
[6,4,3,5,1,2,7,8]=>1011000=>88
[5,4,3,6,1,2,7,8]=>1011000=>88
[4,3,5,6,1,2,7,8]=>1010000=>80
[3,4,5,6,1,2,7,8]=>1000000=>64
[6,5,4,2,1,3,7,8]=>1101100=>108
[5,6,4,2,1,3,7,8]=>1101000=>104
[6,4,5,2,1,3,7,8]=>1101000=>104
[5,4,6,2,1,3,7,8]=>1101000=>104
[4,5,6,2,1,3,7,8]=>1100000=>96
[6,5,4,1,2,3,7,8]=>1001100=>76
[4,5,6,1,2,3,7,8]=>1000000=>64
[6,5,3,2,1,4,7,8]=>1110100=>116
[5,6,3,2,1,4,7,8]=>1110000=>112
[5,6,2,1,3,4,7,8]=>1100000=>96
[6,4,3,2,1,5,7,8]=>1111000=>120
[6,3,4,2,1,5,7,8]=>1110000=>112
[6,4,3,1,2,5,7,8]=>1011000=>88
[6,4,2,1,3,5,7,8]=>1101000=>104
[6,4,1,2,3,5,7,8]=>1001000=>72
[6,3,2,1,4,5,7,8]=>1110000=>112
[6,2,3,1,4,5,7,8]=>1100000=>96
[6,3,1,2,4,5,7,8]=>1010000=>80
[6,2,1,3,4,5,7,8]=>1100000=>96
[6,1,2,3,4,5,7,8]=>1000000=>64
[5,4,3,2,1,6,7,8]=>1111000=>120
[4,5,3,2,1,6,7,8]=>1110000=>112
[5,3,4,2,1,6,7,8]=>1110000=>112
[4,3,5,2,1,6,7,8]=>1110000=>112
[3,4,5,2,1,6,7,8]=>1100000=>96
[5,4,2,3,1,6,7,8]=>1101000=>104
[4,5,2,3,1,6,7,8]=>1100000=>96
[5,3,2,4,1,6,7,8]=>1110000=>112
[5,2,3,4,1,6,7,8]=>1100000=>96
[4,3,2,5,1,6,7,8]=>1110000=>112
[3,4,2,5,1,6,7,8]=>1100000=>96
[4,2,3,5,1,6,7,8]=>1100000=>96
[3,2,4,5,1,6,7,8]=>1100000=>96
[2,3,4,5,1,6,7,8]=>1000000=>64
[5,4,3,1,2,6,7,8]=>1011000=>88
[5,3,4,1,2,6,7,8]=>1010000=>80
[4,3,5,1,2,6,7,8]=>1010000=>80
[3,4,5,1,2,6,7,8]=>1000000=>64
[5,4,2,1,3,6,7,8]=>1101000=>104
[4,5,2,1,3,6,7,8]=>1100000=>96
[5,4,1,2,3,6,7,8]=>1001000=>72
[4,5,1,2,3,6,7,8]=>1000000=>64
[5,3,2,1,4,6,7,8]=>1110000=>112
[5,2,3,1,4,6,7,8]=>1100000=>96
[5,3,1,2,4,6,7,8]=>1010000=>80
[5,2,1,3,4,6,7,8]=>1100000=>96
[5,1,2,3,4,6,7,8]=>1000000=>64
[4,3,2,1,5,6,7,8]=>1110000=>112
[3,4,2,1,5,6,7,8]=>1100000=>96
[4,2,3,1,5,6,7,8]=>1100000=>96
[3,2,4,1,5,6,7,8]=>1100000=>96
[2,3,4,1,5,6,7,8]=>1000000=>64
[4,3,1,2,5,6,7,8]=>1010000=>80
[3,4,1,2,5,6,7,8]=>1000000=>64
[4,2,1,3,5,6,7,8]=>1100000=>96
[4,1,2,3,5,6,7,8]=>1000000=>64
[3,2,1,4,5,6,7,8]=>1100000=>96
[2,3,1,4,5,6,7,8]=>1000000=>64
[3,1,2,4,5,6,7,8]=>1000000=>64
[2,1,3,4,5,6,7,8]=>1000000=>64
[1,2,3,4,5,6,7,8]=>0000000=>0
[6,8,7,5,4,3,2,1]=>1111101=>125
[5,8,7,6,4,3,2,1]=>1111011=>123
[5,7,8,6,4,3,2,1]=>1111010=>122
[6,5,8,7,4,3,2,1]=>1111101=>125
[5,6,8,7,4,3,2,1]=>1111001=>121
[5,7,6,8,4,3,2,1]=>1111010=>122
[4,8,7,6,5,3,2,1]=>1110111=>119
[4,7,8,6,5,3,2,1]=>1110110=>118
[4,6,8,7,5,3,2,1]=>1110101=>117
[4,7,6,8,5,3,2,1]=>1110110=>118
[4,6,7,8,5,3,2,1]=>1110100=>116
[5,4,7,8,6,3,2,1]=>1111010=>122
[4,5,8,7,6,3,2,1]=>1110011=>115
[4,5,7,8,6,3,2,1]=>1110010=>114
[6,5,4,8,7,3,2,1]=>1111101=>125
[5,6,4,8,7,3,2,1]=>1111001=>121
[4,6,5,8,7,3,2,1]=>1110101=>117
[4,5,6,8,7,3,2,1]=>1110001=>113
[5,7,6,4,8,3,2,1]=>1111010=>122
[4,7,6,5,8,3,2,1]=>1110110=>118
[4,6,7,5,8,3,2,1]=>1110100=>116
[5,4,7,6,8,3,2,1]=>1111010=>122
[4,5,7,6,8,3,2,1]=>1110010=>114
[4,6,5,7,8,3,2,1]=>1110100=>116
[3,8,7,6,5,4,2,1]=>1101111=>111
[3,7,8,6,5,4,2,1]=>1101110=>110
[3,6,8,7,5,4,2,1]=>1101101=>109
[3,7,6,8,5,4,2,1]=>1101110=>110
[3,5,8,7,6,4,2,1]=>1101011=>107
[3,5,7,8,6,4,2,1]=>1101010=>106
[3,5,6,8,7,4,2,1]=>1101001=>105
[3,7,6,5,8,4,2,1]=>1101110=>110
[3,6,7,5,8,4,2,1]=>1101100=>108
[3,5,7,6,8,4,2,1]=>1101010=>106
[3,5,6,7,8,4,2,1]=>1101000=>104
[4,3,8,7,6,5,2,1]=>1110111=>119
[4,3,7,8,6,5,2,1]=>1110110=>118
[4,3,6,7,8,5,2,1]=>1110100=>116
[3,4,8,7,6,5,2,1]=>1100111=>103
[3,4,6,7,8,5,2,1]=>1100100=>100
[5,4,3,8,7,6,2,1]=>1111011=>123
[5,4,3,7,8,6,2,1]=>1111010=>122
[4,5,3,7,8,6,2,1]=>1110010=>114
[3,5,4,7,8,6,2,1]=>1101010=>106
[4,3,5,7,8,6,2,1]=>1110010=>114
[3,4,5,8,7,6,2,1]=>1100011=>99
[3,4,5,7,8,6,2,1]=>1100010=>98
[6,5,4,3,8,7,2,1]=>1111101=>125
[5,6,4,3,8,7,2,1]=>1111001=>121
[4,5,6,3,8,7,2,1]=>1110001=>113
[3,6,5,4,8,7,2,1]=>1101101=>109
[4,3,6,5,8,7,2,1]=>1110101=>117
[5,4,3,6,8,7,2,1]=>1111001=>121
[4,5,3,6,8,7,2,1]=>1110001=>113
[4,3,5,6,8,7,2,1]=>1110001=>113
[3,4,5,6,8,7,2,1]=>1100001=>97
[5,7,6,4,3,8,2,1]=>1111010=>122
[4,7,6,5,3,8,2,1]=>1110110=>118
[5,4,7,6,3,8,2,1]=>1111010=>122
[3,7,6,5,4,8,2,1]=>1101110=>110
[3,5,7,6,4,8,2,1]=>1101010=>106
[3,5,6,7,4,8,2,1]=>1101000=>104
[4,3,7,6,5,8,2,1]=>1110110=>118
[3,4,7,6,5,8,2,1]=>1100110=>102
[3,4,6,7,5,8,2,1]=>1100100=>100
[4,5,3,7,6,8,2,1]=>1110010=>114
[3,5,4,7,6,8,2,1]=>1101010=>106
[4,3,5,7,6,8,2,1]=>1110010=>114
[3,4,5,7,6,8,2,1]=>1100010=>98
[3,6,5,4,7,8,2,1]=>1101100=>108
[3,5,6,4,7,8,2,1]=>1101000=>104
[4,3,6,5,7,8,2,1]=>1110100=>116
[3,4,6,5,7,8,2,1]=>1100100=>100
[3,5,4,6,7,8,2,1]=>1101000=>104
[2,8,7,6,5,4,3,1]=>1011111=>95
[2,7,8,6,5,4,3,1]=>1011110=>94
[2,6,8,7,5,4,3,1]=>1011101=>93
[2,7,6,8,5,4,3,1]=>1011110=>94
[2,6,7,8,5,4,3,1]=>1011100=>92
[2,5,8,7,6,4,3,1]=>1011011=>91
[2,6,7,5,8,4,3,1]=>1011100=>92
[2,6,5,7,8,4,3,1]=>1011100=>92
[2,5,6,7,8,4,3,1]=>1011000=>88
[2,4,8,7,6,5,3,1]=>1010111=>87
[2,4,7,8,6,5,3,1]=>1010110=>86
[2,4,6,8,7,5,3,1]=>1010101=>85
[2,4,6,7,8,5,3,1]=>1010100=>84
[2,5,4,8,7,6,3,1]=>1011011=>91
[2,5,4,7,8,6,3,1]=>1011010=>90
[2,4,5,7,8,6,3,1]=>1010010=>82
[2,6,5,4,8,7,3,1]=>1011101=>93
[2,5,6,4,8,7,3,1]=>1011001=>89
[2,4,6,5,8,7,3,1]=>1010101=>85
[2,4,5,6,8,7,3,1]=>1010001=>81
[2,7,6,5,4,8,3,1]=>1011110=>94
[2,6,7,5,4,8,3,1]=>1011100=>92
[2,5,6,7,4,8,3,1]=>1011000=>88
[2,4,7,6,5,8,3,1]=>1010110=>86
[2,4,6,7,5,8,3,1]=>1010100=>84
[2,5,4,7,6,8,3,1]=>1011010=>90
[2,6,5,4,7,8,3,1]=>1011100=>92
[2,5,6,4,7,8,3,1]=>1011000=>88
[2,4,6,5,7,8,3,1]=>1010100=>84
[2,5,4,6,7,8,3,1]=>1011000=>88
[2,4,5,6,7,8,3,1]=>1010000=>80
[3,2,8,7,6,5,4,1]=>1101111=>111
[3,2,6,8,7,5,4,1]=>1101101=>109
[3,2,5,7,8,6,4,1]=>1101010=>106
[3,2,6,5,8,7,4,1]=>1101101=>109
[3,2,5,7,6,8,4,1]=>1101010=>106
[3,2,5,6,7,8,4,1]=>1101000=>104
[2,3,8,7,6,5,4,1]=>1001111=>79
[2,3,6,7,8,5,4,1]=>1001100=>76
[2,3,5,8,7,6,4,1]=>1001011=>75
[2,3,5,7,8,6,4,1]=>1001010=>74
[2,3,6,5,8,7,4,1]=>1001101=>77
[2,3,5,6,8,7,4,1]=>1001001=>73
[2,3,7,6,5,8,4,1]=>1001110=>78
[2,3,5,7,6,8,4,1]=>1001010=>74
[2,3,5,6,7,8,4,1]=>1001000=>72
[4,3,2,8,7,6,5,1]=>1110111=>119
[4,3,2,7,8,6,5,1]=>1110110=>118
[4,3,2,6,8,7,5,1]=>1110101=>117
[3,4,2,8,7,6,5,1]=>1100111=>103
[3,4,2,7,8,6,5,1]=>1100110=>102
[2,4,3,8,7,6,5,1]=>1010111=>87
[2,4,3,6,8,7,5,1]=>1010101=>85
[2,4,3,6,7,8,5,1]=>1010100=>84
[3,2,4,8,7,6,5,1]=>1100111=>103
[3,2,4,7,8,6,5,1]=>1100110=>102
[2,3,4,8,7,6,5,1]=>1000111=>71
[2,3,4,7,8,6,5,1]=>1000110=>70
[2,3,4,6,8,7,5,1]=>1000101=>69
[2,3,4,7,6,8,5,1]=>1000110=>70
[2,3,4,6,7,8,5,1]=>1000100=>68
[5,4,3,2,8,7,6,1]=>1111011=>123
[5,4,3,2,7,8,6,1]=>1111010=>122
[4,5,3,2,8,7,6,1]=>1110011=>115
[3,5,4,2,7,8,6,1]=>1101010=>106
[4,3,5,2,8,7,6,1]=>1110011=>115
[3,4,5,2,7,8,6,1]=>1100010=>98
[2,5,4,3,8,7,6,1]=>1011011=>91
[2,5,4,3,7,8,6,1]=>1011010=>90
[2,4,5,3,8,7,6,1]=>1010011=>83
[2,4,5,3,7,8,6,1]=>1010010=>82
[3,2,5,4,7,8,6,1]=>1101010=>106
[2,3,5,4,8,7,6,1]=>1001011=>75
[2,3,5,4,7,8,6,1]=>1001010=>74
[4,3,2,5,8,7,6,1]=>1110011=>115
[4,3,2,5,7,8,6,1]=>1110010=>114
[3,4,2,5,8,7,6,1]=>1100011=>99
[3,4,2,5,7,8,6,1]=>1100010=>98
[2,4,3,5,8,7,6,1]=>1010011=>83
[3,2,4,5,7,8,6,1]=>1100010=>98
[2,3,4,5,8,7,6,1]=>1000011=>67
[2,3,4,5,7,8,6,1]=>1000010=>66
[6,5,4,3,2,8,7,1]=>1111101=>125
[4,6,5,3,2,8,7,1]=>1110101=>117
[5,4,6,3,2,8,7,1]=>1111001=>121
[4,5,6,3,2,8,7,1]=>1110001=>113
[3,6,5,4,2,8,7,1]=>1101101=>109
[3,5,6,4,2,8,7,1]=>1101001=>105
[4,3,6,5,2,8,7,1]=>1110101=>117
[5,4,3,6,2,8,7,1]=>1111001=>121
[4,5,3,6,2,8,7,1]=>1110001=>113
[3,5,4,6,2,8,7,1]=>1101001=>105
[3,4,5,6,2,8,7,1]=>1100001=>97
[2,6,5,4,3,8,7,1]=>1011101=>93
[2,4,6,5,3,8,7,1]=>1010101=>85
[2,4,5,6,3,8,7,1]=>1010001=>81
[3,2,6,5,4,8,7,1]=>1101101=>109
[2,3,5,6,4,8,7,1]=>1001001=>73
[4,3,2,6,5,8,7,1]=>1110101=>117
[3,4,2,6,5,8,7,1]=>1100101=>101
[2,4,3,6,5,8,7,1]=>1010101=>85
[3,2,4,6,5,8,7,1]=>1100101=>101
[2,3,4,6,5,8,7,1]=>1000101=>69
[5,4,3,2,6,8,7,1]=>1111001=>121
[4,5,3,2,6,8,7,1]=>1110001=>113
[2,5,4,3,6,8,7,1]=>1011001=>89
[2,4,5,3,6,8,7,1]=>1010001=>81
[3,2,5,4,6,8,7,1]=>1101001=>105
[4,3,2,5,6,8,7,1]=>1110001=>113
[3,4,2,5,6,8,7,1]=>1100001=>97
[2,4,3,5,6,8,7,1]=>1010001=>81
[3,2,4,5,6,8,7,1]=>1100001=>97
[2,3,4,5,6,8,7,1]=>1000001=>65
[5,7,6,4,3,2,8,1]=>1111010=>122
[4,7,6,5,3,2,8,1]=>1110110=>118
[4,6,7,5,3,2,8,1]=>1110100=>116
[4,6,5,7,3,2,8,1]=>1110100=>116
[3,5,7,6,4,2,8,1]=>1101010=>106
[3,5,6,7,4,2,8,1]=>1101000=>104
[4,3,7,6,5,2,8,1]=>1110110=>118
[4,3,6,7,5,2,8,1]=>1110100=>116
[3,4,7,6,5,2,8,1]=>1100110=>102
[3,4,6,7,5,2,8,1]=>1100100=>100
[5,4,3,7,6,2,8,1]=>1111010=>122
[4,5,3,7,6,2,8,1]=>1110010=>114
[3,5,4,7,6,2,8,1]=>1101010=>106
[3,4,5,7,6,2,8,1]=>1100010=>98
[4,6,5,3,7,2,8,1]=>1110100=>116
[3,6,5,4,7,2,8,1]=>1101100=>108
[3,5,6,4,7,2,8,1]=>1101000=>104
[4,3,6,5,7,2,8,1]=>1110100=>116
[3,4,6,5,7,2,8,1]=>1100100=>100
[3,5,4,6,7,2,8,1]=>1101000=>104
[2,7,6,5,4,3,8,1]=>1011110=>94
[2,6,5,7,4,3,8,1]=>1011100=>92
[2,5,6,7,4,3,8,1]=>1011000=>88
[2,4,6,7,5,3,8,1]=>1010100=>84
[2,5,4,7,6,3,8,1]=>1011010=>90
[2,4,6,5,7,3,8,1]=>1010100=>84
[2,5,4,6,7,3,8,1]=>1011000=>88
[2,4,5,6,7,3,8,1]=>1010000=>80
[3,2,7,6,5,4,8,1]=>1101110=>110
[3,2,6,7,5,4,8,1]=>1101100=>108
[3,2,5,7,6,4,8,1]=>1101010=>106
[3,2,6,5,7,4,8,1]=>1101100=>108
[3,2,5,6,7,4,8,1]=>1101000=>104
[2,3,7,6,5,4,8,1]=>1001110=>78
[2,3,5,7,6,4,8,1]=>1001010=>74
[2,3,5,6,7,4,8,1]=>1001000=>72
[4,3,2,7,6,5,8,1]=>1110110=>118
[4,3,2,6,7,5,8,1]=>1110100=>116
[3,4,2,7,6,5,8,1]=>1100110=>102
[3,4,2,6,7,5,8,1]=>1100100=>100
[2,4,3,7,6,5,8,1]=>1010110=>86
[2,4,3,6,7,5,8,1]=>1010100=>84
[3,2,4,7,6,5,8,1]=>1100110=>102
[2,3,4,7,6,5,8,1]=>1000110=>70
[2,3,4,6,7,5,8,1]=>1000100=>68
[5,4,3,2,7,6,8,1]=>1111010=>122
[3,5,4,2,7,6,8,1]=>1101010=>106
[4,3,5,2,7,6,8,1]=>1110010=>114
[3,4,5,2,7,6,8,1]=>1100010=>98
[2,5,4,3,7,6,8,1]=>1011010=>90
[3,2,5,4,7,6,8,1]=>1101010=>106
[2,3,5,4,7,6,8,1]=>1001010=>74
[4,3,2,5,7,6,8,1]=>1110010=>114
[3,4,2,5,7,6,8,1]=>1100010=>98
[2,4,3,5,7,6,8,1]=>1010010=>82
[3,2,4,5,7,6,8,1]=>1100010=>98
[2,3,4,5,7,6,8,1]=>1000010=>66
[3,6,5,4,2,7,8,1]=>1101100=>108
[3,5,6,4,2,7,8,1]=>1101000=>104
[3,4,6,5,2,7,8,1]=>1100100=>100
[3,5,4,6,2,7,8,1]=>1101000=>104
[2,6,5,4,3,7,8,1]=>1011100=>92
[2,5,6,4,3,7,8,1]=>1011000=>88
[2,4,6,5,3,7,8,1]=>1010100=>84
[2,5,4,6,3,7,8,1]=>1011000=>88
[2,4,5,6,3,7,8,1]=>1010000=>80
[3,2,5,6,4,7,8,1]=>1101000=>104
[2,3,6,5,4,7,8,1]=>1001100=>76
[2,3,5,6,4,7,8,1]=>1001000=>72
[4,3,2,6,5,7,8,1]=>1110100=>116
[3,4,2,6,5,7,8,1]=>1100100=>100
[2,4,3,6,5,7,8,1]=>1010100=>84
[2,3,4,6,5,7,8,1]=>1000100=>68
[3,5,4,2,6,7,8,1]=>1101000=>104
[2,5,4,3,6,7,8,1]=>1011000=>88
[2,4,5,3,6,7,8,1]=>1010000=>80
[3,2,5,4,6,7,8,1]=>1101000=>104
[2,3,5,4,6,7,8,1]=>1001000=>72
[2,4,3,5,6,7,8,1]=>1010000=>80
[1,8,7,6,5,4,3,2]=>0111111=>63
[1,7,8,6,5,4,3,2]=>0111110=>62
[1,6,8,7,5,4,3,2]=>0111101=>61
[1,7,6,8,5,4,3,2]=>0111110=>62
[1,6,7,8,5,4,3,2]=>0111100=>60
[1,5,8,7,6,4,3,2]=>0111011=>59
[1,6,5,8,7,4,3,2]=>0111101=>61
[1,7,6,5,8,4,3,2]=>0111110=>62
[1,6,7,5,8,4,3,2]=>0111100=>60
[1,5,7,6,8,4,3,2]=>0111010=>58
[1,6,5,7,8,4,3,2]=>0111100=>60
[1,5,6,7,8,4,3,2]=>0111000=>56
[1,4,8,7,6,5,3,2]=>0110111=>55
[1,4,7,8,6,5,3,2]=>0110110=>54
[1,4,6,8,7,5,3,2]=>0110101=>53
[1,4,6,7,8,5,3,2]=>0110100=>52
[1,5,4,7,8,6,3,2]=>0111010=>58
[1,4,5,8,7,6,3,2]=>0110011=>51
[1,4,5,7,8,6,3,2]=>0110010=>50
[1,6,5,4,8,7,3,2]=>0111101=>61
[1,4,6,5,8,7,3,2]=>0110101=>53
[1,5,4,6,8,7,3,2]=>0111001=>57
[1,7,6,5,4,8,3,2]=>0111110=>62
[1,4,7,6,5,8,3,2]=>0110110=>54
[1,4,6,7,5,8,3,2]=>0110100=>52
[1,6,5,4,7,8,3,2]=>0111100=>60
[1,5,6,4,7,8,3,2]=>0111000=>56
[1,5,4,6,7,8,3,2]=>0111000=>56
[1,4,5,6,7,8,3,2]=>0110000=>48
[1,3,8,7,6,5,4,2]=>0101111=>47
[1,3,7,8,6,5,4,2]=>0101110=>46
[1,3,6,8,7,5,4,2]=>0101101=>45
[1,3,6,7,8,5,4,2]=>0101100=>44
[1,3,5,8,7,6,4,2]=>0101011=>43
[1,3,5,7,8,6,4,2]=>0101010=>42
[1,3,5,6,8,7,4,2]=>0101001=>41
[1,3,5,7,6,8,4,2]=>0101010=>42
[1,3,6,5,7,8,4,2]=>0101100=>44
[1,3,5,6,7,8,4,2]=>0101000=>40
[1,4,3,8,7,6,5,2]=>0110111=>55
[1,4,3,7,8,6,5,2]=>0110110=>54
[1,4,3,6,8,7,5,2]=>0110101=>53
[1,4,3,7,6,8,5,2]=>0110110=>54
[1,4,3,6,7,8,5,2]=>0110100=>52
[1,3,4,8,7,6,5,2]=>0100111=>39
[1,3,4,7,6,8,5,2]=>0100110=>38
[1,3,4,6,7,8,5,2]=>0100100=>36
[1,5,4,3,8,7,6,2]=>0111011=>59
[1,4,5,3,8,7,6,2]=>0110011=>51
[1,3,5,4,8,7,6,2]=>0101011=>43
[1,3,5,4,7,8,6,2]=>0101010=>42
[1,4,3,5,8,7,6,2]=>0110011=>51
[1,4,3,5,7,8,6,2]=>0110010=>50
[1,3,4,5,8,7,6,2]=>0100011=>35
[1,3,4,5,7,8,6,2]=>0100010=>34
[1,6,5,4,3,8,7,2]=>0111101=>61
[1,5,6,4,3,8,7,2]=>0111001=>57
[1,4,6,5,3,8,7,2]=>0110101=>53
[1,4,5,6,3,8,7,2]=>0110001=>49
[1,3,6,5,4,8,7,2]=>0101101=>45
[1,4,3,6,5,8,7,2]=>0110101=>53
[1,5,4,3,6,8,7,2]=>0111001=>57
[1,4,5,3,6,8,7,2]=>0110001=>49
[1,3,4,5,6,8,7,2]=>0100001=>33
[1,7,6,5,4,3,8,2]=>0111110=>62
[1,6,7,5,4,3,8,2]=>0111100=>60
[1,6,5,7,4,3,8,2]=>0111100=>60
[1,5,6,7,4,3,8,2]=>0111000=>56
[1,4,6,7,5,3,8,2]=>0110100=>52
[1,5,6,4,7,3,8,2]=>0111000=>56
[1,4,6,5,7,3,8,2]=>0110100=>52
[1,5,4,6,7,3,8,2]=>0111000=>56
[1,4,5,6,7,3,8,2]=>0110000=>48
[1,3,5,7,6,4,8,2]=>0101010=>42
[1,3,6,5,7,4,8,2]=>0101100=>44
[1,3,5,6,7,4,8,2]=>0101000=>40
[1,4,3,6,7,5,8,2]=>0110100=>52
[1,3,4,7,6,5,8,2]=>0100110=>38
[1,3,4,6,7,5,8,2]=>0100100=>36
[1,3,5,4,7,6,8,2]=>0101010=>42
[1,3,4,5,7,6,8,2]=>0100010=>34
[1,6,5,4,3,7,8,2]=>0111100=>60
[1,5,4,6,3,7,8,2]=>0111000=>56
[1,3,5,6,4,7,8,2]=>0101000=>40
[1,4,3,6,5,7,8,2]=>0110100=>52
[1,3,4,6,5,7,8,2]=>0100100=>36
[1,5,4,3,6,7,8,2]=>0111000=>56
[1,4,5,3,6,7,8,2]=>0110000=>48
[1,3,5,4,6,7,8,2]=>0101000=>40
[1,4,3,5,6,7,8,2]=>0110000=>48
[1,3,4,5,6,7,8,2]=>0100000=>32
[2,1,8,7,6,5,4,3]=>1011111=>95
[2,1,7,8,6,5,4,3]=>1011110=>94
[2,1,6,8,7,5,4,3]=>1011101=>93
[2,1,7,6,8,5,4,3]=>1011110=>94
[2,1,6,7,8,5,4,3]=>1011100=>92
[2,1,5,8,7,6,4,3]=>1011011=>91
[2,1,5,7,8,6,4,3]=>1011010=>90
[2,1,6,5,8,7,4,3]=>1011101=>93
[2,1,5,6,8,7,4,3]=>1011001=>89
[2,1,7,6,5,8,4,3]=>1011110=>94
[2,1,6,7,5,8,4,3]=>1011100=>92
[2,1,5,7,6,8,4,3]=>1011010=>90
[2,1,6,5,7,8,4,3]=>1011100=>92
[2,1,5,6,7,8,4,3]=>1011000=>88
[2,1,4,8,7,6,5,3]=>1010111=>87
[2,1,4,7,8,6,5,3]=>1010110=>86
[2,1,4,6,8,7,5,3]=>1010101=>85
[2,1,4,7,6,8,5,3]=>1010110=>86
[2,1,4,6,7,8,5,3]=>1010100=>84
[2,1,5,4,8,7,6,3]=>1011011=>91
[2,1,5,4,7,8,6,3]=>1011010=>90
[2,1,4,5,8,7,6,3]=>1010011=>83
[2,1,4,5,7,8,6,3]=>1010010=>82
[2,1,6,5,4,8,7,3]=>1011101=>93
[2,1,5,6,4,8,7,3]=>1011001=>89
[2,1,4,6,5,8,7,3]=>1010101=>85
[2,1,5,4,6,8,7,3]=>1011001=>89
[2,1,4,5,6,8,7,3]=>1010001=>81
[2,1,7,6,5,4,8,3]=>1011110=>94
[2,1,6,7,5,4,8,3]=>1011100=>92
[2,1,5,7,6,4,8,3]=>1011010=>90
[2,1,6,5,7,4,8,3]=>1011100=>92
[2,1,5,6,7,4,8,3]=>1011000=>88
[2,1,4,7,6,5,8,3]=>1010110=>86
[2,1,4,6,7,5,8,3]=>1010100=>84
[2,1,5,4,7,6,8,3]=>1011010=>90
[2,1,5,6,4,7,8,3]=>1011000=>88
[2,1,5,4,6,7,8,3]=>1011000=>88
[2,1,4,5,6,7,8,3]=>1010000=>80
[1,2,8,7,6,5,4,3]=>0011111=>31
[1,2,7,8,6,5,4,3]=>0011110=>30
[1,2,7,6,8,5,4,3]=>0011110=>30
[1,2,6,7,8,5,4,3]=>0011100=>28
[1,2,5,8,7,6,4,3]=>0011011=>27
[1,2,6,5,8,7,4,3]=>0011101=>29
[1,2,5,6,8,7,4,3]=>0011001=>25
[1,2,7,6,5,8,4,3]=>0011110=>30
[1,2,5,7,6,8,4,3]=>0011010=>26
[1,2,6,5,7,8,4,3]=>0011100=>28
[1,2,5,6,7,8,4,3]=>0011000=>24
[1,2,4,8,7,6,5,3]=>0010111=>23
[1,2,4,7,8,6,5,3]=>0010110=>22
[1,2,4,6,8,7,5,3]=>0010101=>21
[1,2,4,7,6,8,5,3]=>0010110=>22
[1,2,4,6,7,8,5,3]=>0010100=>20
[1,2,5,4,8,7,6,3]=>0011011=>27
[1,2,5,4,7,8,6,3]=>0011010=>26
[1,2,4,5,8,7,6,3]=>0010011=>19
[1,2,4,5,7,8,6,3]=>0010010=>18
[1,2,6,5,4,8,7,3]=>0011101=>29
[1,2,4,6,5,8,7,3]=>0010101=>21
[1,2,5,4,6,8,7,3]=>0011001=>25
[1,2,4,5,6,8,7,3]=>0010001=>17
[1,2,7,6,5,4,8,3]=>0011110=>30
[1,2,5,7,6,4,8,3]=>0011010=>26
[1,2,5,6,7,4,8,3]=>0011000=>24
[1,2,4,7,6,5,8,3]=>0010110=>22
[1,2,5,4,7,6,8,3]=>0011010=>26
[1,2,6,5,4,7,8,3]=>0011100=>28
[1,2,5,6,4,7,8,3]=>0011000=>24
[1,2,4,6,5,7,8,3]=>0010100=>20
[1,2,5,4,6,7,8,3]=>0011000=>24
[1,2,4,5,6,7,8,3]=>0010000=>16
[3,2,1,8,7,6,5,4]=>1101111=>111
[3,2,1,7,8,6,5,4]=>1101110=>110
[3,2,1,6,8,7,5,4]=>1101101=>109
[3,2,1,7,6,8,5,4]=>1101110=>110
[3,2,1,6,7,8,5,4]=>1101100=>108
[3,2,1,5,8,7,6,4]=>1101011=>107
[3,2,1,5,7,8,6,4]=>1101010=>106
[3,2,1,6,5,8,7,4]=>1101101=>109
[3,2,1,5,6,8,7,4]=>1101001=>105
[3,2,1,7,6,5,8,4]=>1101110=>110
[3,2,1,6,7,5,8,4]=>1101100=>108
[3,2,1,5,7,6,8,4]=>1101010=>106
[3,2,1,6,5,7,8,4]=>1101100=>108
[3,2,1,5,6,7,8,4]=>1101000=>104
[2,3,1,8,7,6,5,4]=>1001111=>79
[2,3,1,7,8,6,5,4]=>1001110=>78
[2,3,1,6,8,7,5,4]=>1001101=>77
[2,3,1,7,6,8,5,4]=>1001110=>78
[2,3,1,6,7,8,5,4]=>1001100=>76
[2,3,1,6,5,8,7,4]=>1001101=>77
[2,3,1,7,6,5,8,4]=>1001110=>78
[2,3,1,6,7,5,8,4]=>1001100=>76
[2,3,1,5,7,6,8,4]=>1001010=>74
[2,3,1,5,6,7,8,4]=>1001000=>72
[1,3,2,8,7,6,5,4]=>0101111=>47
[1,3,2,6,8,7,5,4]=>0101101=>45
[1,3,2,7,6,8,5,4]=>0101110=>46
[1,3,2,6,7,8,5,4]=>0101100=>44
[1,3,2,5,8,7,6,4]=>0101011=>43
[1,3,2,5,7,8,6,4]=>0101010=>42
[1,3,2,6,5,8,7,4]=>0101101=>45
[1,3,2,5,6,8,7,4]=>0101001=>41
[1,3,2,7,6,5,8,4]=>0101110=>46
[1,3,2,6,7,5,8,4]=>0101100=>44
[1,3,2,5,7,6,8,4]=>0101010=>42
[1,3,2,6,5,7,8,4]=>0101100=>44
[1,3,2,5,6,7,8,4]=>0101000=>40
[2,1,3,8,7,6,5,4]=>1001111=>79
[2,1,3,7,8,6,5,4]=>1001110=>78
[2,1,3,6,8,7,5,4]=>1001101=>77
[2,1,3,6,7,8,5,4]=>1001100=>76
[2,1,3,6,5,8,7,4]=>1001101=>77
[2,1,3,5,7,6,8,4]=>1001010=>74
[2,1,3,5,6,7,8,4]=>1001000=>72
[1,2,3,8,7,6,5,4]=>0001111=>15
[1,2,3,7,8,6,5,4]=>0001110=>14
[1,2,3,6,8,7,5,4]=>0001101=>13
[1,2,3,7,6,8,5,4]=>0001110=>14
[1,2,3,6,7,8,5,4]=>0001100=>12
[1,2,3,5,8,7,6,4]=>0001011=>11
[1,2,3,5,7,8,6,4]=>0001010=>10
[1,2,3,6,5,8,7,4]=>0001101=>13
[1,2,3,5,6,8,7,4]=>0001001=>9
[1,2,3,7,6,5,8,4]=>0001110=>14
[1,2,3,6,7,5,8,4]=>0001100=>12
[1,2,3,5,7,6,8,4]=>0001010=>10
[1,2,3,6,5,7,8,4]=>0001100=>12
[1,2,3,5,6,7,8,4]=>0001000=>8
[4,3,2,1,8,7,6,5]=>1110111=>119
[4,3,2,1,7,8,6,5]=>1110110=>118
[4,3,2,1,6,8,7,5]=>1110101=>117
[4,3,2,1,7,6,8,5]=>1110110=>118
[4,3,2,1,6,7,8,5]=>1110100=>116
[3,4,2,1,8,7,6,5]=>1100111=>103
[3,4,2,1,7,8,6,5]=>1100110=>102
[3,4,2,1,6,8,7,5]=>1100101=>101
[3,4,2,1,7,6,8,5]=>1100110=>102
[3,4,2,1,6,7,8,5]=>1100100=>100
[2,4,3,1,8,7,6,5]=>1010111=>87
[2,4,3,1,7,8,6,5]=>1010110=>86
[2,4,3,1,6,8,7,5]=>1010101=>85
[2,4,3,1,7,6,8,5]=>1010110=>86
[2,4,3,1,6,7,8,5]=>1010100=>84
[3,2,4,1,8,7,6,5]=>1100111=>103
[3,2,4,1,7,8,6,5]=>1100110=>102
[3,2,4,1,6,8,7,5]=>1100101=>101
[3,2,4,1,7,6,8,5]=>1100110=>102
[3,2,4,1,6,7,8,5]=>1100100=>100
[2,3,4,1,8,7,6,5]=>1000111=>71
[2,3,4,1,7,8,6,5]=>1000110=>70
[2,3,4,1,6,8,7,5]=>1000101=>69
[2,3,4,1,7,6,8,5]=>1000110=>70
[2,3,4,1,6,7,8,5]=>1000100=>68
[1,4,3,2,8,7,6,5]=>0110111=>55
[1,4,3,2,6,8,7,5]=>0110101=>53
[1,4,3,2,7,6,8,5]=>0110110=>54
[1,4,3,2,6,7,8,5]=>0110100=>52
[1,3,4,2,8,7,6,5]=>0100111=>39
[1,3,4,2,7,8,6,5]=>0100110=>38
[1,3,4,2,6,8,7,5]=>0100101=>37
[1,3,4,2,7,6,8,5]=>0100110=>38
[1,3,4,2,6,7,8,5]=>0100100=>36
[2,1,4,3,8,7,6,5]=>1010111=>87
[2,1,4,3,7,8,6,5]=>1010110=>86
[2,1,4,3,6,8,7,5]=>1010101=>85
[2,1,4,3,7,6,8,5]=>1010110=>86
[2,1,4,3,6,7,8,5]=>1010100=>84
[1,2,4,3,8,7,6,5]=>0010111=>23
[1,2,4,3,7,8,6,5]=>0010110=>22
[1,2,4,3,6,8,7,5]=>0010101=>21
[1,2,4,3,7,6,8,5]=>0010110=>22
[1,2,4,3,6,7,8,5]=>0010100=>20
[3,2,1,4,8,7,6,5]=>1100111=>103
[3,2,1,4,7,8,6,5]=>1100110=>102
[3,2,1,4,6,8,7,5]=>1100101=>101
[3,2,1,4,7,6,8,5]=>1100110=>102
[3,2,1,4,6,7,8,5]=>1100100=>100
[2,3,1,4,8,7,6,5]=>1000111=>71
[2,3,1,4,7,8,6,5]=>1000110=>70
[2,3,1,4,7,6,8,5]=>1000110=>70
[2,3,1,4,6,7,8,5]=>1000100=>68
[1,3,2,4,8,7,6,5]=>0100111=>39
[1,3,2,4,6,8,7,5]=>0100101=>37
[1,3,2,4,7,6,8,5]=>0100110=>38
[1,3,2,4,6,7,8,5]=>0100100=>36
[2,1,3,4,8,7,6,5]=>1000111=>71
[2,1,3,4,7,8,6,5]=>1000110=>70
[2,1,3,4,7,6,8,5]=>1000110=>70
[2,1,3,4,6,7,8,5]=>1000100=>68
[1,2,3,4,8,7,6,5]=>0000111=>7
[1,2,3,4,7,8,6,5]=>0000110=>6
[1,2,3,4,6,8,7,5]=>0000101=>5
[1,2,3,4,7,6,8,5]=>0000110=>6
[1,2,3,4,6,7,8,5]=>0000100=>4
[5,4,3,2,1,8,7,6]=>1111011=>123
[5,4,3,2,1,7,8,6]=>1111010=>122
[4,5,3,2,1,8,7,6]=>1110011=>115
[3,5,4,2,1,8,7,6]=>1101011=>107
[3,5,4,2,1,7,8,6]=>1101010=>106
[4,3,5,2,1,8,7,6]=>1110011=>115
[3,4,5,2,1,8,7,6]=>1100011=>99
[3,4,5,2,1,7,8,6]=>1100010=>98
[2,5,4,3,1,8,7,6]=>1011011=>91
[2,5,4,3,1,7,8,6]=>1011010=>90
[2,4,5,3,1,8,7,6]=>1010011=>83
[2,4,5,3,1,7,8,6]=>1010010=>82
[3,2,5,4,1,8,7,6]=>1101011=>107
[3,2,5,4,1,7,8,6]=>1101010=>106
[2,3,5,4,1,8,7,6]=>1001011=>75
[4,3,2,5,1,8,7,6]=>1110011=>115
[4,3,2,5,1,7,8,6]=>1110010=>114
[3,4,2,5,1,8,7,6]=>1100011=>99
[3,4,2,5,1,7,8,6]=>1100010=>98
[2,4,3,5,1,8,7,6]=>1010011=>83
[2,4,3,5,1,7,8,6]=>1010010=>82
[3,2,4,5,1,8,7,6]=>1100011=>99
[2,3,4,5,1,8,7,6]=>1000011=>67
[2,3,4,5,1,7,8,6]=>1000010=>66
[1,5,4,3,2,8,7,6]=>0111011=>59
[1,5,4,3,2,7,8,6]=>0111010=>58
[1,4,5,3,2,8,7,6]=>0110011=>51
[1,4,5,3,2,7,8,6]=>0110010=>50
[1,3,5,4,2,7,8,6]=>0101010=>42
[1,4,3,5,2,8,7,6]=>0110011=>51
[1,4,3,5,2,7,8,6]=>0110010=>50
[1,3,4,5,2,8,7,6]=>0100011=>35
[1,3,4,5,2,7,8,6]=>0100010=>34
[2,1,5,4,3,8,7,6]=>1011011=>91
[2,1,4,5,3,8,7,6]=>1010011=>83
[1,2,5,4,3,8,7,6]=>0011011=>27
[1,2,5,4,3,7,8,6]=>0011010=>26
[1,2,4,5,3,8,7,6]=>0010011=>19
[1,2,4,5,3,7,8,6]=>0010010=>18
[1,3,2,5,4,8,7,6]=>0101011=>43
[1,3,2,5,4,7,8,6]=>0101010=>42
[2,1,3,5,4,8,7,6]=>1001011=>75
[2,1,3,5,4,7,8,6]=>1001010=>74
[1,2,3,5,4,8,7,6]=>0001011=>11
[1,2,3,5,4,7,8,6]=>0001010=>10
[4,3,2,1,5,8,7,6]=>1110011=>115
[4,3,2,1,5,7,8,6]=>1110010=>114
[3,4,2,1,5,8,7,6]=>1100011=>99
[2,4,3,1,5,8,7,6]=>1010011=>83
[3,2,4,1,5,8,7,6]=>1100011=>99
[3,2,4,1,5,7,8,6]=>1100010=>98
[2,3,4,1,5,8,7,6]=>1000011=>67
[2,3,4,1,5,7,8,6]=>1000010=>66
[1,4,3,2,5,8,7,6]=>0110011=>51
[1,4,3,2,5,7,8,6]=>0110010=>50
[1,3,4,2,5,8,7,6]=>0100011=>35
[1,3,4,2,5,7,8,6]=>0100010=>34
[2,1,4,3,5,8,7,6]=>1010011=>83
[2,1,4,3,5,7,8,6]=>1010010=>82
[1,2,4,3,5,8,7,6]=>0010011=>19
[1,2,4,3,5,7,8,6]=>0010010=>18
[3,2,1,4,5,8,7,6]=>1100011=>99
[3,2,1,4,5,7,8,6]=>1100010=>98
[2,3,1,4,5,7,8,6]=>1000010=>66
[1,3,2,4,5,8,7,6]=>0100011=>35
[1,3,2,4,5,7,8,6]=>0100010=>34
[2,1,3,4,5,8,7,6]=>1000011=>67
[2,1,3,4,5,7,8,6]=>1000010=>66
[1,2,3,4,5,8,7,6]=>0000011=>3
[1,2,3,4,5,7,8,6]=>0000010=>2
[6,5,4,3,2,1,8,7]=>1111101=>125
[5,6,4,3,2,1,8,7]=>1111001=>121
[4,6,5,3,2,1,8,7]=>1110101=>117
[5,4,6,3,2,1,8,7]=>1111001=>121
[4,5,6,3,2,1,8,7]=>1110001=>113
[3,6,5,4,2,1,8,7]=>1101101=>109
[3,5,6,4,2,1,8,7]=>1101001=>105
[4,3,6,5,2,1,8,7]=>1110101=>117
[3,4,6,5,2,1,8,7]=>1100101=>101
[5,4,3,6,2,1,8,7]=>1111001=>121
[4,5,3,6,2,1,8,7]=>1110001=>113
[4,3,5,6,2,1,8,7]=>1110001=>113
[3,4,5,6,2,1,8,7]=>1100001=>97
[2,6,5,4,3,1,8,7]=>1011101=>93
[2,5,6,4,3,1,8,7]=>1011001=>89
[2,4,6,5,3,1,8,7]=>1010101=>85
[3,2,6,5,4,1,8,7]=>1101101=>109
[3,2,5,6,4,1,8,7]=>1101001=>105
[2,3,6,5,4,1,8,7]=>1001101=>77
[2,3,5,6,4,1,8,7]=>1001001=>73
[4,3,2,6,5,1,8,7]=>1110101=>117
[3,4,2,6,5,1,8,7]=>1100101=>101
[2,4,3,6,5,1,8,7]=>1010101=>85
[5,4,3,2,6,1,8,7]=>1111001=>121
[4,5,3,2,6,1,8,7]=>1110001=>113
[3,5,4,2,6,1,8,7]=>1101001=>105
[4,3,5,2,6,1,8,7]=>1110001=>113
[3,4,5,2,6,1,8,7]=>1100001=>97
[2,5,4,3,6,1,8,7]=>1011001=>89
[2,4,5,3,6,1,8,7]=>1010001=>81
[3,2,5,4,6,1,8,7]=>1101001=>105
[4,3,2,5,6,1,8,7]=>1110001=>113
[3,4,2,5,6,1,8,7]=>1100001=>97
[2,4,3,5,6,1,8,7]=>1010001=>81
[2,3,4,5,6,1,8,7]=>1000001=>65
[1,6,5,4,3,2,8,7]=>0111101=>61
[1,5,6,4,3,2,8,7]=>0111001=>57
[1,5,4,6,3,2,8,7]=>0111001=>57
[1,3,6,5,4,2,8,7]=>0101101=>45
[1,3,4,5,6,2,8,7]=>0100001=>33
[2,1,6,5,4,3,8,7]=>1011101=>93
[2,1,5,6,4,3,8,7]=>1011001=>89
[2,1,4,6,5,3,8,7]=>1010101=>85
[2,1,5,4,6,3,8,7]=>1011001=>89
[2,1,4,5,6,3,8,7]=>1010001=>81
[1,2,4,5,6,3,8,7]=>0010001=>17
[3,2,1,6,5,4,8,7]=>1101101=>109
[2,3,1,6,5,4,8,7]=>1001101=>77
[1,3,2,6,5,4,8,7]=>0101101=>45
[1,3,2,5,6,4,8,7]=>0101001=>41
[2,1,3,6,5,4,8,7]=>1001101=>77
[2,1,3,5,6,4,8,7]=>1001001=>73
[1,2,3,6,5,4,8,7]=>0001101=>13
[1,2,3,5,6,4,8,7]=>0001001=>9
[4,3,2,1,6,5,8,7]=>1110101=>117
[3,4,2,1,6,5,8,7]=>1100101=>101
[2,4,3,1,6,5,8,7]=>1010101=>85
[3,2,4,1,6,5,8,7]=>1100101=>101
[2,3,4,1,6,5,8,7]=>1000101=>69
[1,3,4,2,6,5,8,7]=>0100101=>37
[2,1,4,3,6,5,8,7]=>1010101=>85
[1,2,4,3,6,5,8,7]=>0010101=>21
[2,3,1,4,6,5,8,7]=>1000101=>69
[1,3,2,4,6,5,8,7]=>0100101=>37
[2,1,3,4,6,5,8,7]=>1000101=>69
[1,2,3,4,6,5,8,7]=>0000101=>5
[5,4,3,2,1,6,8,7]=>1111001=>121
[4,5,3,2,1,6,8,7]=>1110001=>113
[3,5,4,2,1,6,8,7]=>1101001=>105
[4,3,5,2,1,6,8,7]=>1110001=>113
[3,4,5,2,1,6,8,7]=>1100001=>97
[2,5,4,3,1,6,8,7]=>1011001=>89
[2,4,5,3,1,6,8,7]=>1010001=>81
[3,2,5,4,1,6,8,7]=>1101001=>105
[2,3,5,4,1,6,8,7]=>1001001=>73
[2,4,3,5,1,6,8,7]=>1010001=>81
[2,3,4,5,1,6,8,7]=>1000001=>65
[1,4,5,3,2,6,8,7]=>0110001=>49
[1,3,5,4,2,6,8,7]=>0101001=>41
[1,3,4,5,2,6,8,7]=>0100001=>33
[2,1,5,4,3,6,8,7]=>1011001=>89
[2,1,4,5,3,6,8,7]=>1010001=>81
[1,2,5,4,3,6,8,7]=>0011001=>25
[2,1,3,5,4,6,8,7]=>1001001=>73
[1,2,3,5,4,6,8,7]=>0001001=>9
[4,3,2,1,5,6,8,7]=>1110001=>113
[3,4,2,1,5,6,8,7]=>1100001=>97
[3,2,4,1,5,6,8,7]=>1100001=>97
[2,3,4,1,5,6,8,7]=>1000001=>65
[1,4,3,2,5,6,8,7]=>0110001=>49
[1,3,4,2,5,6,8,7]=>0100001=>33
[2,1,4,3,5,6,8,7]=>1010001=>81
[1,2,4,3,5,6,8,7]=>0010001=>17
[3,2,1,4,5,6,8,7]=>1100001=>97
[2,3,1,4,5,6,8,7]=>1000001=>65
[1,3,2,4,5,6,8,7]=>0100001=>33
[2,1,3,4,5,6,8,7]=>1000001=>65
[1,2,3,4,5,6,8,7]=>0000001=>1
[5,7,6,4,3,2,1,8]=>1111010=>122
[4,7,6,5,3,2,1,8]=>1110110=>118
[4,6,7,5,3,2,1,8]=>1110100=>116
[5,4,7,6,3,2,1,8]=>1111010=>122
[4,5,7,6,3,2,1,8]=>1110010=>114
[4,6,5,7,3,2,1,8]=>1110100=>116
[3,5,7,6,4,2,1,8]=>1101010=>106
[3,5,6,7,4,2,1,8]=>1101000=>104
[4,3,7,6,5,2,1,8]=>1110110=>118
[3,4,7,6,5,2,1,8]=>1100110=>102
[5,4,3,7,6,2,1,8]=>1111010=>122
[4,5,3,7,6,2,1,8]=>1110010=>114
[3,5,4,7,6,2,1,8]=>1101010=>106
[4,3,5,7,6,2,1,8]=>1110010=>114
[3,6,5,4,7,2,1,8]=>1101100=>108
[3,5,6,4,7,2,1,8]=>1101000=>104
[4,3,6,5,7,2,1,8]=>1110100=>116
[2,7,6,5,4,3,1,8]=>1011110=>94
[2,6,7,5,4,3,1,8]=>1011100=>92
[2,5,7,6,4,3,1,8]=>1011010=>90
[2,5,6,7,4,3,1,8]=>1011000=>88
[2,4,6,7,5,3,1,8]=>1010100=>84
[2,5,4,7,6,3,1,8]=>1011010=>90
[2,5,6,4,7,3,1,8]=>1011000=>88
[2,5,4,6,7,3,1,8]=>1011000=>88
[2,4,5,6,7,3,1,8]=>1010000=>80
[3,2,7,6,5,4,1,8]=>1101110=>110
[3,2,6,7,5,4,1,8]=>1101100=>108
[3,2,5,7,6,4,1,8]=>1101010=>106
[3,2,6,5,7,4,1,8]=>1101100=>108
[3,2,5,6,7,4,1,8]=>1101000=>104
[2,3,7,6,5,4,1,8]=>1001110=>78
[2,3,6,7,5,4,1,8]=>1001100=>76
[2,3,5,7,6,4,1,8]=>1001010=>74
[2,3,6,5,7,4,1,8]=>1001100=>76
[2,3,5,6,7,4,1,8]=>1001000=>72
[4,3,2,6,7,5,1,8]=>1110100=>116
[3,4,2,7,6,5,1,8]=>1100110=>102
[3,2,4,6,7,5,1,8]=>1100100=>100
[2,3,4,7,6,5,1,8]=>1000110=>70
[2,3,4,6,7,5,1,8]=>1000100=>68
[5,4,3,2,7,6,1,8]=>1111010=>122
[4,5,3,2,7,6,1,8]=>1110010=>114
[3,5,4,2,7,6,1,8]=>1101010=>106
[4,3,5,2,7,6,1,8]=>1110010=>114
[3,4,5,2,7,6,1,8]=>1100010=>98
[3,2,5,4,7,6,1,8]=>1101010=>106
[4,3,2,5,7,6,1,8]=>1110010=>114
[3,4,2,5,7,6,1,8]=>1100010=>98
[2,3,4,5,7,6,1,8]=>1000010=>66
[3,6,5,4,2,7,1,8]=>1101100=>108
[3,4,6,5,2,7,1,8]=>1100100=>100
[3,5,4,6,2,7,1,8]=>1101000=>104
[2,5,4,6,3,7,1,8]=>1011000=>88
[3,2,6,5,4,7,1,8]=>1101100=>108
[2,3,5,6,4,7,1,8]=>1001000=>72
[4,3,2,6,5,7,1,8]=>1110100=>116
[3,4,2,6,5,7,1,8]=>1100100=>100
[2,4,3,6,5,7,1,8]=>1010100=>84
[2,3,4,6,5,7,1,8]=>1000100=>68
[3,5,4,2,6,7,1,8]=>1101000=>104
[2,5,4,3,6,7,1,8]=>1011000=>88
[2,4,5,3,6,7,1,8]=>1010000=>80
[2,3,5,4,6,7,1,8]=>1001000=>72
[1,7,6,5,4,3,2,8]=>0111110=>62
[1,6,7,5,4,3,2,8]=>0111100=>60
[1,6,5,7,4,3,2,8]=>0111100=>60
[1,5,6,7,4,3,2,8]=>0111000=>56
[1,4,7,6,5,3,2,8]=>0110110=>54
[1,4,6,7,5,3,2,8]=>0110100=>52
[1,5,4,7,6,3,2,8]=>0111010=>58
[1,5,6,4,7,3,2,8]=>0111000=>56
[1,4,6,5,7,3,2,8]=>0110100=>52
[1,5,4,6,7,3,2,8]=>0111000=>56
[1,4,5,6,7,3,2,8]=>0110000=>48
[1,3,7,6,5,4,2,8]=>0101110=>46
[1,3,6,7,5,4,2,8]=>0101100=>44
[1,3,5,7,6,4,2,8]=>0101010=>42
[1,3,6,5,7,4,2,8]=>0101100=>44
[1,3,5,6,7,4,2,8]=>0101000=>40
[1,3,4,6,7,5,2,8]=>0100100=>36
[1,3,5,4,7,6,2,8]=>0101010=>42
[1,4,3,5,7,6,2,8]=>0110010=>50
[1,3,4,5,7,6,2,8]=>0100010=>34
[1,5,4,6,3,7,2,8]=>0111000=>56
[1,4,5,6,3,7,2,8]=>0110000=>48
[1,3,6,5,4,7,2,8]=>0101100=>44
[1,3,5,6,4,7,2,8]=>0101000=>40
[1,4,3,6,5,7,2,8]=>0110100=>52
[1,3,4,6,5,7,2,8]=>0100100=>36
[1,5,4,3,6,7,2,8]=>0111000=>56
[1,4,5,3,6,7,2,8]=>0110000=>48
[1,3,5,4,6,7,2,8]=>0101000=>40
[1,3,4,5,6,7,2,8]=>0100000=>32
[2,1,7,6,5,4,3,8]=>1011110=>94
[2,1,6,7,5,4,3,8]=>1011100=>92
[2,1,5,6,7,4,3,8]=>1011000=>88
[2,1,4,6,7,5,3,8]=>1010100=>84
[2,1,5,4,6,7,3,8]=>1011000=>88
[2,1,4,5,6,7,3,8]=>1010000=>80
[1,2,7,6,5,4,3,8]=>0011110=>30
[1,2,6,7,5,4,3,8]=>0011100=>28
[1,2,5,7,6,4,3,8]=>0011010=>26
[1,2,5,6,7,4,3,8]=>0011000=>24
[1,2,4,6,7,5,3,8]=>0010100=>20
[1,2,5,6,4,7,3,8]=>0011000=>24
[1,2,5,4,6,7,3,8]=>0011000=>24
[1,2,4,5,6,7,3,8]=>0010000=>16
[3,2,1,7,6,5,4,8]=>1101110=>110
[3,2,1,6,7,5,4,8]=>1101100=>108
[3,2,1,5,7,6,4,8]=>1101010=>106
[3,2,1,6,5,7,4,8]=>1101100=>108
[3,2,1,5,6,7,4,8]=>1101000=>104
[2,3,1,6,7,5,4,8]=>1001100=>76
[2,3,1,6,5,7,4,8]=>1001100=>76
[2,3,1,5,6,7,4,8]=>1001000=>72
[1,3,2,7,6,5,4,8]=>0101110=>46
[1,3,2,6,7,5,4,8]=>0101100=>44
[1,3,2,5,7,6,4,8]=>0101010=>42
[1,3,2,6,5,7,4,8]=>0101100=>44
[1,3,2,5,6,7,4,8]=>0101000=>40
[2,1,3,6,7,5,4,8]=>1001100=>76
[1,2,3,7,6,5,4,8]=>0001110=>14
[1,2,3,6,7,5,4,8]=>0001100=>12
[1,2,3,5,7,6,4,8]=>0001010=>10
[1,2,3,6,5,7,4,8]=>0001100=>12
[1,2,3,5,6,7,4,8]=>0001000=>8
[4,3,2,1,7,6,5,8]=>1110110=>118
[4,3,2,1,6,7,5,8]=>1110100=>116
[3,2,4,1,7,6,5,8]=>1100110=>102
[3,2,4,1,6,7,5,8]=>1100100=>100
[2,3,4,1,7,6,5,8]=>1000110=>70
[2,3,4,1,6,7,5,8]=>1000100=>68
[1,4,3,2,7,6,5,8]=>0110110=>54
[1,4,3,2,6,7,5,8]=>0110100=>52
[1,3,4,2,6,7,5,8]=>0100100=>36
[2,1,4,3,6,7,5,8]=>1010100=>84
[1,2,4,3,6,7,5,8]=>0010100=>20
[3,2,1,4,7,6,5,8]=>1100110=>102
[2,3,1,4,6,7,5,8]=>1000100=>68
[1,3,2,4,7,6,5,8]=>0100110=>38
[2,1,3,4,6,7,5,8]=>1000100=>68
[1,2,3,4,7,6,5,8]=>0000110=>6
[1,2,3,4,6,7,5,8]=>0000100=>4
[5,4,3,2,1,7,6,8]=>1111010=>122
[4,5,3,2,1,7,6,8]=>1110010=>114
[3,5,4,2,1,7,6,8]=>1101010=>106
[3,4,5,2,1,7,6,8]=>1100010=>98
[2,5,4,3,1,7,6,8]=>1011010=>90
[2,4,5,3,1,7,6,8]=>1010010=>82
[3,2,5,4,1,7,6,8]=>1101010=>106
[2,3,5,4,1,7,6,8]=>1001010=>74
[3,4,2,5,1,7,6,8]=>1100010=>98
[2,4,3,5,1,7,6,8]=>1010010=>82
[2,3,4,5,1,7,6,8]=>1000010=>66
[1,5,4,3,2,7,6,8]=>0111010=>58
[1,4,5,3,2,7,6,8]=>0110010=>50
[1,3,5,4,2,7,6,8]=>0101010=>42
[1,4,3,5,2,7,6,8]=>0110010=>50
[1,3,4,5,2,7,6,8]=>0100010=>34
[2,1,5,4,3,7,6,8]=>1011010=>90
[1,2,4,5,3,7,6,8]=>0010010=>18
[3,2,1,5,4,7,6,8]=>1101010=>106
[2,3,1,5,4,7,6,8]=>1001010=>74
[1,3,2,5,4,7,6,8]=>0101010=>42
[1,2,3,5,4,7,6,8]=>0001010=>10
[4,3,2,1,5,7,6,8]=>1110010=>114
[3,2,4,1,5,7,6,8]=>1100010=>98
[2,3,4,1,5,7,6,8]=>1000010=>66
[1,4,3,2,5,7,6,8]=>0110010=>50
[1,3,4,2,5,7,6,8]=>0100010=>34
[1,2,4,3,5,7,6,8]=>0010010=>18
[3,2,1,4,5,7,6,8]=>1100010=>98
[2,3,1,4,5,7,6,8]=>1000010=>66
[1,3,2,4,5,7,6,8]=>0100010=>34
[2,1,3,4,5,7,6,8]=>1000010=>66
[1,2,3,4,5,7,6,8]=>0000010=>2
[3,6,5,4,2,1,7,8]=>1101100=>108
[4,3,6,5,2,1,7,8]=>1110100=>116
[2,4,6,5,3,1,7,8]=>1010100=>84
[2,4,5,6,3,1,7,8]=>1010000=>80
[2,3,6,5,4,1,7,8]=>1001100=>76
[2,3,5,6,4,1,7,8]=>1001000=>72
[4,3,2,6,5,1,7,8]=>1110100=>116
[2,4,3,6,5,1,7,8]=>1010100=>84
[2,3,4,6,5,1,7,8]=>1000100=>68
[3,5,4,2,6,1,7,8]=>1101000=>104
[2,3,5,4,6,1,7,8]=>1001000=>72
[1,6,5,4,3,2,7,8]=>0111100=>60
[1,5,6,4,3,2,7,8]=>0111000=>56
[1,4,6,5,3,2,7,8]=>0110100=>52
[1,5,4,6,3,2,7,8]=>0111000=>56
[1,4,5,6,3,2,7,8]=>0110000=>48
[1,3,5,6,4,2,7,8]=>0101000=>40
[1,4,3,6,5,2,7,8]=>0110100=>52
[1,5,4,3,6,2,7,8]=>0111000=>56
[1,4,5,3,6,2,7,8]=>0110000=>48
[1,3,5,4,6,2,7,8]=>0101000=>40
[1,4,3,5,6,2,7,8]=>0110000=>48
[1,3,4,5,6,2,7,8]=>0100000=>32
[2,1,5,6,4,3,7,8]=>1011000=>88
[2,1,4,6,5,3,7,8]=>1010100=>84
[1,2,6,5,4,3,7,8]=>0011100=>28
[1,2,5,6,4,3,7,8]=>0011000=>24
[1,2,4,6,5,3,7,8]=>0010100=>20
[1,2,4,5,6,3,7,8]=>0010000=>16
[3,2,1,6,5,4,7,8]=>1101100=>108
[3,2,1,5,6,4,7,8]=>1101000=>104
[2,3,1,6,5,4,7,8]=>1001100=>76
[2,3,1,5,6,4,7,8]=>1001000=>72
[1,3,2,6,5,4,7,8]=>0101100=>44
[1,3,2,5,6,4,7,8]=>0101000=>40
[1,2,3,6,5,4,7,8]=>0001100=>12
[1,2,3,5,6,4,7,8]=>0001000=>8
[4,3,2,1,6,5,7,8]=>1110100=>116
[2,4,3,1,6,5,7,8]=>1010100=>84
[3,2,4,1,6,5,7,8]=>1100100=>100
[2,3,4,1,6,5,7,8]=>1000100=>68
[2,1,4,3,6,5,7,8]=>1010100=>84
[1,2,4,3,6,5,7,8]=>0010100=>20
[1,3,2,4,6,5,7,8]=>0100100=>36
[2,1,3,4,6,5,7,8]=>1000100=>68
[1,2,3,4,6,5,7,8]=>0000100=>4
[3,5,4,2,1,6,7,8]=>1101000=>104
[2,5,4,3,1,6,7,8]=>1011000=>88
[2,4,5,3,1,6,7,8]=>1010000=>80
[3,2,5,4,1,6,7,8]=>1101000=>104
[2,3,5,4,1,6,7,8]=>1001000=>72
[2,4,3,5,1,6,7,8]=>1010000=>80
[1,5,4,3,2,6,7,8]=>0111000=>56
[1,4,5,3,2,6,7,8]=>0110000=>48
[1,3,5,4,2,6,7,8]=>0101000=>40
[1,3,4,5,2,6,7,8]=>0100000=>32
[2,1,5,4,3,6,7,8]=>1011000=>88
[2,1,4,5,3,6,7,8]=>1010000=>80
[1,2,5,4,3,6,7,8]=>0011000=>24
[3,2,1,5,4,6,7,8]=>1101000=>104
[2,3,1,5,4,6,7,8]=>1001000=>72
[1,3,2,5,4,6,7,8]=>0101000=>40
[2,1,3,5,4,6,7,8]=>1001000=>72
[1,2,3,5,4,6,7,8]=>0001000=>8
[2,4,3,1,5,6,7,8]=>1010000=>80
[1,4,3,2,5,6,7,8]=>0110000=>48
[1,3,4,2,5,6,7,8]=>0100000=>32
[2,1,4,3,5,6,7,8]=>1010000=>80
[1,2,4,3,5,6,7,8]=>0010000=>16
[1,3,2,4,5,6,7,8]=>0100000=>32
[1,2,3,4,8,6,7,5]=>0000110=>6
[1,2,3,5,8,6,7,4]=>0001010=>10
[1,2,3,7,5,6,4,8]=>0001100=>12
[1,2,3,7,5,6,8,4]=>0001100=>12
[1,2,3,8,5,6,7,4]=>0001100=>12
[1,2,3,8,5,7,6,4]=>0001110=>14
[1,2,3,8,6,5,7,4]=>0001110=>14
[1,2,3,8,6,7,5,4]=>0001110=>14
[1,2,4,3,8,6,7,5]=>0010110=>22
[1,2,4,5,8,6,7,3]=>0010010=>18
[1,2,4,7,5,6,8,3]=>0010100=>20
[1,2,4,8,5,6,7,3]=>0010100=>20
[1,2,4,8,6,5,7,3]=>0010110=>22
[1,2,5,4,8,6,7,3]=>0011010=>26
[1,2,6,4,5,3,7,8]=>0011000=>24
[1,2,6,4,5,7,8,3]=>0011000=>24
[1,2,6,4,5,8,7,3]=>0011001=>25
[1,2,7,4,5,6,8,3]=>0011000=>24
[1,2,8,4,5,6,7,3]=>0011000=>24
[1,2,8,4,6,7,5,3]=>0011100=>28
[1,2,8,4,7,6,5,3]=>0011110=>30
[1,2,7,5,4,6,3,8]=>0011100=>28
[1,2,7,5,4,6,8,3]=>0011100=>28
[1,2,8,5,4,6,7,3]=>0011100=>28
[1,2,8,5,4,7,6,3]=>0011110=>30
[1,2,8,5,6,4,7,3]=>0011100=>28
[1,2,8,5,6,7,4,3]=>0011100=>28
[1,2,8,6,5,4,7,3]=>0011110=>30
[1,2,8,6,5,7,4,3]=>0011110=>30
[1,2,8,7,5,6,4,3]=>0011101=>29
[1,3,2,4,8,6,7,5]=>0100110=>38
[1,3,2,7,5,6,8,4]=>0101100=>44
[1,3,2,8,5,7,6,4]=>0101110=>46
[1,3,2,8,6,5,7,4]=>0101110=>46
[1,3,2,8,6,7,5,4]=>0101110=>46
[1,3,4,2,8,6,7,5]=>0100110=>38
[1,3,4,5,8,6,7,2]=>0100010=>34
[1,3,4,8,5,6,7,2]=>0100100=>36
[1,3,4,8,6,5,7,2]=>0100110=>38
[1,3,4,8,6,7,5,2]=>0100110=>38
[1,3,6,4,5,2,8,7]=>0101001=>41
[1,3,6,4,5,7,2,8]=>0101000=>40
[1,3,6,4,5,7,8,2]=>0101000=>40
[1,3,6,4,5,8,7,2]=>0101001=>41
[1,3,7,4,5,6,2,8]=>0101000=>40
[1,3,7,4,5,6,8,2]=>0101000=>40
[1,3,8,4,5,6,7,2]=>0101000=>40
[1,3,8,4,6,5,7,2]=>0101100=>44
[1,3,8,4,6,7,5,2]=>0101100=>44
[1,3,8,5,4,6,7,2]=>0101100=>44
[1,3,8,5,4,7,6,2]=>0101110=>46
[1,3,8,5,6,7,4,2]=>0101100=>44
[1,3,8,5,7,6,4,2]=>0101110=>46
[1,3,8,6,5,7,4,2]=>0101110=>46
[1,3,8,7,5,6,4,2]=>0101101=>45
[1,4,3,2,8,6,7,5]=>0110110=>54
[1,4,3,5,8,6,7,2]=>0110010=>50
[1,4,3,8,5,6,7,2]=>0110100=>52
[1,4,3,8,5,7,6,2]=>0110110=>54
[1,4,3,8,6,5,7,2]=>0110110=>54
[1,4,3,8,6,7,5,2]=>0110110=>54
[1,5,3,4,2,6,7,8]=>0110000=>48
[1,5,3,4,2,7,8,6]=>0110010=>50
[1,5,3,4,2,8,7,6]=>0110011=>51
[1,5,3,4,6,2,7,8]=>0110000=>48
[1,5,3,4,6,2,8,7]=>0110001=>49
[1,5,3,4,6,7,2,8]=>0110000=>48
[1,5,3,4,6,7,8,2]=>0110000=>48
[1,5,3,4,7,6,2,8]=>0110010=>50
[1,5,3,4,8,6,7,2]=>0110010=>50
[1,6,3,4,5,2,7,8]=>0110000=>48
[1,6,3,4,5,8,7,2]=>0110001=>49
[1,7,3,4,5,6,2,8]=>0110000=>48
[1,7,3,4,5,6,8,2]=>0110000=>48
[1,8,3,4,5,6,7,2]=>0110000=>48
[1,8,3,4,6,7,5,2]=>0110100=>52
[1,8,3,4,7,6,5,2]=>0110110=>54
[1,6,3,5,4,2,7,8]=>0111000=>56
[1,6,3,5,4,8,7,2]=>0111001=>57
[1,7,3,5,4,6,2,8]=>0111000=>56
[1,8,3,5,4,6,7,2]=>0111000=>56
[1,8,3,5,4,7,6,2]=>0111010=>58
[1,8,3,5,6,4,7,2]=>0111000=>56
[1,8,3,5,6,7,4,2]=>0111000=>56
[1,8,3,5,7,6,4,2]=>0111010=>58
[1,7,3,6,5,4,2,8]=>0111100=>60
[1,7,3,6,5,4,8,2]=>0111100=>60
[1,8,3,6,5,4,7,2]=>0111100=>60
[1,8,3,7,5,6,4,2]=>0111100=>60
[1,8,3,7,6,5,4,2]=>0111110=>62
[1,6,4,3,5,2,7,8]=>0111000=>56
[1,6,4,3,5,8,7,2]=>0111001=>57
[1,8,4,3,5,6,7,2]=>0111000=>56
[1,8,4,3,5,7,6,2]=>0111010=>58
[1,7,4,3,6,5,8,2]=>0111100=>60
[1,8,4,3,6,5,7,2]=>0111100=>60
[1,8,4,3,6,7,5,2]=>0111100=>60
[1,6,4,5,3,2,7,8]=>0111000=>56
[1,6,4,5,3,2,8,7]=>0111001=>57
[1,6,4,5,3,8,7,2]=>0111001=>57
[1,7,4,5,3,6,8,2]=>0111000=>56
[1,8,4,5,3,6,7,2]=>0111000=>56
[1,7,4,5,6,3,2,8]=>0111000=>56
[1,7,4,5,6,3,8,2]=>0111000=>56
[1,8,4,5,6,3,7,2]=>0111000=>56
[1,8,4,5,6,7,3,2]=>0111000=>56
[1,7,4,6,5,3,2,8]=>0111100=>60
[1,8,4,6,5,3,7,2]=>0111100=>60
[1,8,4,6,5,7,3,2]=>0111100=>60
[1,8,4,7,6,5,3,2]=>0111110=>62
[1,7,5,4,3,6,2,8]=>0111100=>60
[1,7,5,4,3,6,8,2]=>0111100=>60
[1,8,5,4,3,6,7,2]=>0111100=>60
[1,8,5,4,3,7,6,2]=>0111110=>62
[1,8,5,4,6,3,7,2]=>0111100=>60
[1,8,5,4,6,7,3,2]=>0111100=>60
[1,8,5,4,7,6,3,2]=>0111110=>62
[1,7,6,4,5,3,2,8]=>0111010=>58
[1,8,6,4,5,3,7,2]=>0111010=>58
[1,8,6,4,5,7,3,2]=>0111010=>58
[1,8,7,4,5,6,3,2]=>0111001=>57
[1,8,7,4,6,5,3,2]=>0111101=>61
[1,8,6,5,4,3,7,2]=>0111110=>62
[1,8,6,5,4,7,3,2]=>0111110=>62
[1,8,7,5,4,6,3,2]=>0111101=>61
[1,8,7,5,6,4,3,2]=>0111101=>61
[2,1,3,4,8,6,7,5]=>1000110=>70
[2,1,3,5,8,6,7,4]=>1001010=>74
[2,1,3,8,5,6,7,4]=>1001100=>76
[2,1,3,8,5,7,6,4]=>1001110=>78
[2,1,3,8,6,5,7,4]=>1001110=>78
[2,1,3,8,6,7,5,4]=>1001110=>78
[2,1,4,3,8,6,7,5]=>1010110=>86
[2,1,4,5,8,6,7,3]=>1010010=>82
[2,1,4,8,5,6,7,3]=>1010100=>84
[2,1,4,8,5,7,6,3]=>1010110=>86
[2,1,4,8,6,5,7,3]=>1010110=>86
[2,1,4,8,6,7,5,3]=>1010110=>86
[2,1,6,4,5,3,8,7]=>1011001=>89
[2,1,6,4,5,7,8,3]=>1011000=>88
[2,1,6,4,5,8,7,3]=>1011001=>89
[2,1,8,4,5,6,7,3]=>1011000=>88
[2,1,8,4,5,7,6,3]=>1011010=>90
[2,1,7,4,6,5,8,3]=>1011100=>92
[2,1,8,4,6,5,7,3]=>1011100=>92
[2,1,8,4,6,7,5,3]=>1011100=>92
[2,1,8,4,7,6,5,3]=>1011110=>94
[2,1,7,5,4,6,8,3]=>1011100=>92
[2,1,8,5,4,6,7,3]=>1011100=>92
[2,1,8,5,4,7,6,3]=>1011110=>94
[2,1,7,5,6,4,8,3]=>1011100=>92
[2,1,8,5,6,7,4,3]=>1011100=>92
[2,1,8,5,7,6,4,3]=>1011110=>94
[2,1,8,6,5,4,7,3]=>1011110=>94
[2,1,8,6,5,7,4,3]=>1011110=>94
[2,1,8,7,5,6,4,3]=>1011101=>93
[2,3,1,5,8,6,7,4]=>1001010=>74
[2,3,1,7,5,6,4,8]=>1001100=>76
[2,3,1,8,5,6,7,4]=>1001100=>76
[2,3,1,8,6,7,5,4]=>1001110=>78
[2,3,4,1,8,6,7,5]=>1000110=>70
[2,3,4,5,8,6,7,1]=>1000010=>66
[2,3,4,7,5,6,1,8]=>1000100=>68
[2,3,4,7,5,6,8,1]=>1000100=>68
[2,3,4,8,5,6,7,1]=>1000100=>68
[2,3,4,8,5,7,6,1]=>1000110=>70
[2,3,4,8,6,5,7,1]=>1000110=>70
[2,3,4,8,6,7,5,1]=>1000110=>70
[2,3,5,4,8,6,7,1]=>1001010=>74
[2,3,6,4,5,1,7,8]=>1001000=>72
[2,3,6,4,5,1,8,7]=>1001001=>73
[2,3,6,4,5,7,8,1]=>1001000=>72
[2,3,6,4,5,8,7,1]=>1001001=>73
[2,3,7,4,5,6,8,1]=>1001000=>72
[2,3,8,4,5,6,7,1]=>1001000=>72
[2,3,7,4,6,5,8,1]=>1001100=>76
[2,3,8,4,6,7,5,1]=>1001100=>76
[2,3,7,5,4,6,1,8]=>1001100=>76
[2,3,7,5,4,6,8,1]=>1001100=>76
[2,3,8,5,4,6,7,1]=>1001100=>76
[2,3,7,5,6,4,1,8]=>1001100=>76
[2,3,7,5,6,4,8,1]=>1001100=>76
[2,3,8,5,6,4,7,1]=>1001100=>76
[2,3,8,5,6,7,4,1]=>1001100=>76
[2,3,8,5,7,6,4,1]=>1001110=>78
[2,3,8,6,5,4,7,1]=>1001110=>78
[2,4,3,1,8,6,7,5]=>1010110=>86
[2,4,3,5,8,6,7,1]=>1010010=>82
[2,4,3,7,5,6,8,1]=>1010100=>84
[2,4,3,8,5,6,7,1]=>1010100=>84
[2,4,3,8,5,7,6,1]=>1010110=>86
[2,4,3,8,6,5,7,1]=>1010110=>86
[2,4,3,8,6,7,5,1]=>1010110=>86
[2,5,3,4,1,6,7,8]=>1010000=>80
[2,5,3,4,1,8,7,6]=>1010011=>83
[2,5,3,4,6,7,1,8]=>1010000=>80
[2,5,3,4,6,7,8,1]=>1010000=>80
[2,5,3,4,6,8,7,1]=>1010001=>81
[2,5,3,4,7,6,8,1]=>1010010=>82
[2,5,3,4,8,6,7,1]=>1010010=>82
[2,5,3,4,8,7,6,1]=>1010011=>83
[2,6,3,4,5,1,7,8]=>1010000=>80
[2,6,3,4,5,7,8,1]=>1010000=>80
[2,6,3,4,5,8,7,1]=>1010001=>81
[2,7,3,4,5,6,1,8]=>1010000=>80
[2,8,3,4,5,6,7,1]=>1010000=>80
[2,8,3,4,5,7,6,1]=>1010010=>82
[2,6,3,5,4,1,7,8]=>1011000=>88
[2,6,3,5,4,1,8,7]=>1011001=>89
[2,6,3,5,4,7,8,1]=>1011000=>88
[2,6,3,5,4,8,7,1]=>1011001=>89
[2,7,3,5,4,6,8,1]=>1011000=>88
[2,8,3,5,4,7,6,1]=>1011010=>90
[2,7,3,5,6,4,8,1]=>1011000=>88
[2,8,3,5,6,7,4,1]=>1011000=>88
[2,8,3,5,7,6,4,1]=>1011010=>90
[2,7,3,6,5,4,1,8]=>1011100=>92
[2,8,3,7,5,6,4,1]=>1011100=>92
[2,8,3,7,6,5,4,1]=>1011110=>94
[2,5,4,3,8,6,7,1]=>1011010=>90
[2,6,4,3,5,1,8,7]=>1011001=>89
[2,6,4,3,5,7,8,1]=>1011000=>88
[2,6,4,3,5,8,7,1]=>1011001=>89
[2,7,4,3,5,6,8,1]=>1011000=>88
[2,8,4,3,5,6,7,1]=>1011000=>88
[2,8,4,3,5,7,6,1]=>1011010=>90
[2,7,4,3,6,5,8,1]=>1011100=>92
[2,8,4,3,6,5,7,1]=>1011100=>92
[2,8,4,3,6,7,5,1]=>1011100=>92
[2,8,4,3,7,6,5,1]=>1011110=>94
[2,6,4,5,3,1,7,8]=>1011000=>88
[2,6,4,5,3,1,8,7]=>1011001=>89
[2,6,4,5,3,7,8,1]=>1011000=>88
[2,6,4,5,3,8,7,1]=>1011001=>89
[2,8,4,5,3,6,7,1]=>1011000=>88
[2,7,4,5,6,3,8,1]=>1011000=>88
[2,8,4,5,6,3,7,1]=>1011000=>88
[2,8,4,5,6,7,3,1]=>1011000=>88
[2,7,4,6,5,3,1,8]=>1011100=>92
[2,7,4,6,5,3,8,1]=>1011100=>92
[2,8,4,6,5,3,7,1]=>1011100=>92
[2,8,4,7,6,5,3,1]=>1011110=>94
[2,7,5,4,3,6,8,1]=>1011100=>92
[2,8,5,4,3,6,7,1]=>1011100=>92
[2,8,5,4,3,7,6,1]=>1011110=>94
[2,7,5,4,6,3,8,1]=>1011100=>92
[2,8,5,4,6,7,3,1]=>1011100=>92
[2,8,5,4,7,6,3,1]=>1011110=>94
[2,7,6,4,5,3,8,1]=>1011010=>90
[2,8,7,4,5,6,3,1]=>1011001=>89
[2,8,7,4,6,5,3,1]=>1011101=>93
[2,8,7,5,4,6,3,1]=>1011101=>93
[2,8,7,5,6,4,3,1]=>1011101=>93
[3,2,1,4,8,6,7,5]=>1100110=>102
[3,2,1,5,8,6,7,4]=>1101010=>106
[3,2,1,7,5,6,4,8]=>1101100=>108
[3,2,1,7,5,6,8,4]=>1101100=>108
[3,2,1,8,5,6,7,4]=>1101100=>108
[3,2,1,8,5,7,6,4]=>1101110=>110
[3,2,1,8,6,5,7,4]=>1101110=>110
[3,2,1,8,6,7,5,4]=>1101110=>110
[3,2,4,1,8,6,7,5]=>1100110=>102
[3,2,4,5,8,6,7,1]=>1100010=>98
[3,2,4,7,5,6,8,1]=>1100100=>100
[3,2,4,8,5,6,7,1]=>1100100=>100
[3,2,4,8,6,7,5,1]=>1100110=>102
[3,2,5,4,8,6,7,1]=>1101010=>106
[3,2,6,4,5,7,1,8]=>1101000=>104
[3,2,7,4,5,6,1,8]=>1101000=>104
[3,2,8,4,5,6,7,1]=>1101000=>104
[3,2,7,4,6,5,1,8]=>1101100=>108
[3,2,7,4,6,5,8,1]=>1101100=>108
[3,2,7,5,4,6,1,8]=>1101100=>108
[3,2,8,5,4,6,7,1]=>1101100=>108
[3,2,8,5,4,7,6,1]=>1101110=>110
[3,2,7,5,6,4,1,8]=>1101100=>108
[3,2,7,5,6,4,8,1]=>1101100=>108
[3,2,8,5,7,6,4,1]=>1101110=>110
[3,2,8,6,5,7,4,1]=>1101110=>110
[3,2,8,7,5,6,4,1]=>1101101=>109
[4,2,3,1,5,7,6,8]=>1100010=>98
[4,2,3,1,5,7,8,6]=>1100010=>98
[4,2,3,1,5,8,7,6]=>1100011=>99
[4,2,3,1,6,5,7,8]=>1100100=>100
[4,2,3,1,6,5,8,7]=>1100101=>101
[4,2,3,1,6,7,8,5]=>1100100=>100
[4,2,3,1,6,8,7,5]=>1100101=>101
[4,2,3,1,7,6,5,8]=>1100110=>102
[4,2,3,1,7,6,8,5]=>1100110=>102
[4,2,3,1,8,6,7,5]=>1100110=>102
[4,2,3,1,8,7,6,5]=>1100111=>103
[4,2,3,5,1,6,8,7]=>1100001=>97
[4,2,3,5,1,7,8,6]=>1100010=>98
[4,2,3,5,1,8,7,6]=>1100011=>99
[4,2,3,5,6,1,8,7]=>1100001=>97
[4,2,3,5,6,8,7,1]=>1100001=>97
[4,2,3,5,7,6,1,8]=>1100010=>98
[4,2,3,5,8,7,6,1]=>1100011=>99
[4,2,3,6,5,1,7,8]=>1100100=>100
[4,2,3,6,5,1,8,7]=>1100101=>101
[4,2,3,6,5,8,7,1]=>1100101=>101
[4,2,3,7,5,6,1,8]=>1100100=>100
[4,2,3,7,5,6,8,1]=>1100100=>100
[4,2,3,8,5,6,7,1]=>1100100=>100
[4,2,3,8,5,7,6,1]=>1100110=>102
[4,2,3,7,6,5,8,1]=>1100110=>102
[4,2,3,8,6,7,5,1]=>1100110=>102
[4,2,3,8,7,6,5,1]=>1100111=>103
[5,2,3,4,1,6,8,7]=>1100001=>97
[5,2,3,4,1,7,8,6]=>1100010=>98
[5,2,3,4,1,8,7,6]=>1100011=>99
[5,2,3,4,6,1,8,7]=>1100001=>97
[5,2,3,4,7,6,1,8]=>1100010=>98
[5,2,3,4,8,6,7,1]=>1100010=>98
[5,2,3,4,8,7,6,1]=>1100011=>99
[6,2,3,4,5,1,8,7]=>1100001=>97
[6,2,3,4,5,8,7,1]=>1100001=>97
[8,2,3,4,5,7,6,1]=>1100010=>98
[7,2,3,4,6,5,1,8]=>1100100=>100
[8,2,3,4,7,6,5,1]=>1100110=>102
[6,2,3,5,4,1,7,8]=>1101000=>104
[6,2,3,5,4,1,8,7]=>1101001=>105
[6,2,3,5,4,7,1,8]=>1101000=>104
[6,2,3,5,4,7,8,1]=>1101000=>104
[7,2,3,5,4,6,1,8]=>1101000=>104
[8,2,3,5,4,6,7,1]=>1101000=>104
[8,2,3,5,4,7,6,1]=>1101010=>106
[7,2,3,5,6,4,1,8]=>1101000=>104
[8,2,3,5,6,7,4,1]=>1101000=>104
[8,2,3,5,7,6,4,1]=>1101010=>106
[7,2,3,6,5,4,1,8]=>1101100=>108
[8,2,3,6,5,4,7,1]=>1101100=>108
[8,2,3,7,5,6,4,1]=>1101100=>108
[8,2,3,7,6,5,4,1]=>1101110=>110
[5,2,4,3,1,6,7,8]=>1110000=>112
[5,2,4,3,1,6,8,7]=>1110001=>113
[5,2,4,3,1,7,6,8]=>1110010=>114
[5,2,4,3,1,8,7,6]=>1110011=>115
[5,2,4,3,6,1,7,8]=>1110000=>112
[5,2,4,3,6,1,8,7]=>1110001=>113
[5,2,4,3,6,7,1,8]=>1110000=>112
[5,2,4,3,7,6,1,8]=>1110010=>114
[5,2,4,3,7,6,8,1]=>1110010=>114
[5,2,4,3,8,7,6,1]=>1110011=>115
[6,2,4,3,5,1,8,7]=>1110001=>113
[7,2,4,3,6,5,1,8]=>1110100=>116
[7,2,4,3,6,5,8,1]=>1110100=>116
[8,2,4,3,6,5,7,1]=>1110100=>116
[8,2,4,3,6,7,5,1]=>1110100=>116
[8,2,4,3,7,6,5,1]=>1110110=>118
[6,2,4,5,3,1,7,8]=>1110000=>112
[6,2,4,5,3,1,8,7]=>1110001=>113
[6,2,4,5,3,8,7,1]=>1110001=>113
[7,2,4,5,3,6,1,8]=>1110000=>112
[7,2,4,5,3,6,8,1]=>1110000=>112
[8,2,4,5,3,7,6,1]=>1110010=>114
[8,2,4,5,6,3,7,1]=>1110000=>112
[8,2,4,5,6,7,3,1]=>1110000=>112
[8,2,4,5,7,6,3,1]=>1110010=>114
[7,2,4,6,5,3,1,8]=>1110100=>116
[7,2,4,6,5,3,8,1]=>1110100=>116
[8,2,4,7,5,6,3,1]=>1110100=>116
[8,2,4,7,6,5,3,1]=>1110110=>118
[6,2,5,4,3,1,7,8]=>1111000=>120
[6,2,5,4,3,1,8,7]=>1111001=>121
[6,2,5,4,3,7,1,8]=>1111000=>120
[6,2,5,4,3,7,8,1]=>1111000=>120
[7,2,5,4,3,6,1,8]=>1111000=>120
[8,2,5,4,3,6,7,1]=>1111000=>120
[8,2,5,4,3,7,6,1]=>1111010=>122
[7,2,5,4,6,3,8,1]=>1111000=>120
[8,2,5,4,7,6,3,1]=>1111010=>122
[7,2,6,4,5,3,1,8]=>1111000=>120
[7,2,6,4,5,3,8,1]=>1111000=>120
[8,2,6,4,5,3,7,1]=>1111000=>120
[8,2,6,4,5,7,3,1]=>1111000=>120
[8,2,7,4,5,6,3,1]=>1111000=>120
[8,2,7,4,6,5,3,1]=>1111100=>124
[7,2,6,5,4,3,1,8]=>1111100=>124
[7,2,6,5,4,3,8,1]=>1111100=>124
[8,2,6,5,4,3,7,1]=>1111100=>124
[8,2,6,5,4,7,3,1]=>1111100=>124
[8,2,7,5,4,6,3,1]=>1111100=>124
[8,2,7,5,6,4,3,1]=>1111100=>124
[8,2,7,6,5,4,3,1]=>1111110=>126
[4,3,2,1,8,6,7,5]=>1110110=>118
[4,3,2,7,5,6,8,1]=>1110100=>116
[4,3,2,8,5,6,7,1]=>1110100=>116
[4,3,2,8,5,7,6,1]=>1110110=>118
[4,3,2,8,6,7,5,1]=>1110110=>118
[5,3,2,4,1,6,8,7]=>1110001=>113
[5,3,2,4,1,7,6,8]=>1110010=>114
[5,3,2,4,1,8,7,6]=>1110011=>115
[5,3,2,4,6,1,8,7]=>1110001=>113
[5,3,2,4,7,6,1,8]=>1110010=>114
[8,3,2,4,6,5,7,1]=>1110100=>116
[8,3,2,4,6,7,5,1]=>1110100=>116
[8,3,2,4,7,6,5,1]=>1110110=>118
[6,3,2,5,4,1,7,8]=>1111000=>120
[6,3,2,5,4,1,8,7]=>1111001=>121
[6,3,2,5,4,7,1,8]=>1111000=>120
[6,3,2,5,4,7,8,1]=>1111000=>120
[6,3,2,5,4,8,7,1]=>1111001=>121
[7,3,2,5,4,6,1,8]=>1111000=>120
[8,3,2,5,4,7,6,1]=>1111010=>122
[7,3,2,5,6,4,8,1]=>1111000=>120
[8,3,2,5,6,4,7,1]=>1111000=>120
[8,3,2,5,6,7,4,1]=>1111000=>120
[8,3,2,5,7,6,4,1]=>1111010=>122
[8,3,2,6,5,7,4,1]=>1111100=>124
[8,3,2,7,5,6,4,1]=>1111100=>124
[8,3,2,7,6,5,4,1]=>1111110=>126
[5,3,4,2,1,6,8,7]=>1110001=>113
[5,3,4,2,1,7,8,6]=>1110010=>114
[5,3,4,2,1,8,7,6]=>1110011=>115
[5,3,4,2,7,6,1,8]=>1110010=>114
[7,3,4,2,6,5,1,8]=>1110100=>116
[7,3,4,2,6,5,8,1]=>1110100=>116
[8,3,4,2,6,5,7,1]=>1110100=>116
[6,3,4,5,2,1,8,7]=>1110001=>113
[6,3,4,5,2,8,7,1]=>1110001=>113
[8,3,4,5,2,7,6,1]=>1110010=>114
[8,3,4,5,7,6,2,1]=>1110010=>114
[7,3,4,6,5,2,1,8]=>1110100=>116
[8,3,4,7,6,5,2,1]=>1110110=>118
[6,3,5,4,2,1,8,7]=>1111001=>121
[6,3,5,4,2,7,1,8]=>1111000=>120
[6,3,5,4,2,7,8,1]=>1111000=>120
[6,3,5,4,2,8,7,1]=>1111001=>121
[7,3,5,4,2,6,1,8]=>1111000=>120
[8,3,5,4,2,6,7,1]=>1111000=>120
[8,3,5,4,2,7,6,1]=>1111010=>122
[7,3,5,4,6,2,1,8]=>1111000=>120
[7,3,5,4,6,2,8,1]=>1111000=>120
[8,3,5,4,6,7,2,1]=>1111000=>120
[8,3,5,4,7,6,2,1]=>1111010=>122
[7,3,6,4,5,2,1,8]=>1111000=>120
[8,3,6,4,5,2,7,1]=>1111000=>120
[8,3,6,4,5,7,2,1]=>1111000=>120
[8,3,7,4,5,6,2,1]=>1111000=>120
[8,3,7,4,6,5,2,1]=>1111100=>124
[7,3,6,5,4,2,1,8]=>1111100=>124
[7,3,6,5,4,2,8,1]=>1111100=>124
[8,3,6,5,4,2,7,1]=>1111100=>124
[8,3,6,5,4,7,2,1]=>1111100=>124
[8,3,7,5,4,6,2,1]=>1111100=>124
[8,3,7,5,6,4,2,1]=>1111100=>124
[8,3,7,6,5,4,2,1]=>1111110=>126
[5,4,3,2,8,6,7,1]=>1111010=>122
[6,4,3,2,5,1,8,7]=>1111001=>121
[6,4,3,2,5,8,7,1]=>1111001=>121
[8,4,3,2,5,7,6,1]=>1111010=>122
[7,4,3,2,6,5,1,8]=>1111100=>124
[7,4,3,2,6,5,8,1]=>1111100=>124
[8,4,3,2,6,5,7,1]=>1111100=>124
[8,4,3,2,6,7,5,1]=>1111100=>124
[8,4,3,2,7,6,5,1]=>1111110=>126
[6,4,3,5,2,1,8,7]=>1111001=>121
[8,4,3,5,2,7,6,1]=>1111010=>122
[8,4,3,5,7,6,2,1]=>1111010=>122
[7,4,3,6,5,2,1,8]=>1111100=>124
[7,4,3,6,5,2,8,1]=>1111100=>124
[8,4,3,7,5,6,2,1]=>1111100=>124
[8,4,3,7,6,5,2,1]=>1111110=>126
[6,5,3,4,2,1,8,7]=>1110101=>117
[8,5,3,4,2,7,6,1]=>1110110=>118
[8,5,3,4,7,6,2,1]=>1110110=>118
[8,7,3,4,6,5,2,1]=>1110101=>117
[7,6,3,5,4,2,1,8]=>1111010=>122
[7,6,3,5,4,2,8,1]=>1111010=>122
[8,6,3,5,4,2,7,1]=>1111010=>122
[8,6,3,5,4,7,2,1]=>1111010=>122
[8,7,3,5,4,6,2,1]=>1111001=>121
[8,7,3,5,6,4,2,1]=>1111001=>121
[8,7,3,6,5,4,2,1]=>1111101=>125
[8,5,4,3,2,7,6,1]=>1111110=>126
[8,5,4,3,7,6,2,1]=>1111110=>126
[8,7,4,3,6,5,2,1]=>1111101=>125
[8,7,4,6,5,3,2,1]=>1111101=>125
[2,4,1,3,6,5,8,7]=>1000101=>69
[2,1,4,6,3,5,8,7]=>1010001=>81
[2,4,1,6,3,5,8,7]=>1010001=>81
[2,4,6,1,3,5,8,7]=>1000001=>65
[2,1,4,3,6,8,5,7]=>1010100=>84
[2,4,1,3,6,8,5,7]=>1000100=>68
[2,1,4,6,3,8,5,7]=>1010100=>84
[2,4,1,6,3,8,5,7]=>1010100=>84
[2,4,6,1,3,8,5,7]=>1000100=>68
[2,1,4,6,8,3,5,7]=>1010000=>80
[2,4,1,6,8,3,5,7]=>1010000=>80
[2,4,6,1,8,3,5,7]=>1010000=>80
[2,4,6,8,1,3,5,7]=>1000000=>64
[2,4,1,3,6,5,7,8]=>1000100=>68
[2,1,4,6,3,5,7,8]=>1010000=>80
[2,4,1,6,3,5,7,8]=>1010000=>80
[2,4,6,1,3,5,7,8]=>1000000=>64
[2,1,4,6,3,7,5,8]=>1010100=>84
[2,4,1,6,3,7,5,8]=>1010100=>84
[2,4,6,1,3,7,5,8]=>1000100=>68
[2,1,4,6,7,3,5,8]=>1010000=>80
[2,4,1,6,7,3,5,8]=>1010000=>80
[2,4,6,7,1,3,5,8]=>1000000=>64
[2,4,1,3,6,7,8,5]=>1000100=>68
[2,1,4,6,3,7,8,5]=>1010100=>84
[2,4,1,6,3,7,8,5]=>1010100=>84
[2,4,6,1,3,7,8,5]=>1000100=>68
[2,1,4,6,7,3,8,5]=>1010100=>84
[2,4,1,6,7,3,8,5]=>1010100=>84
[2,4,6,1,7,3,8,5]=>1010100=>84
[2,4,6,7,1,3,8,5]=>1000100=>68
[2,1,4,6,7,8,3,5]=>1010000=>80
[2,4,1,6,7,8,3,5]=>1010000=>80
[2,4,6,1,7,8,3,5]=>1010000=>80
[2,4,6,7,1,8,3,5]=>1010000=>80
[2,4,6,7,8,1,3,5]=>1000000=>64
[2,1,4,3,7,5,8,6]=>1010110=>86
[2,4,1,3,7,5,8,6]=>1000110=>70
[2,1,4,7,3,5,8,6]=>1010010=>82
[2,4,1,7,3,5,8,6]=>1010010=>82
[2,4,7,1,3,5,8,6]=>1000010=>66
[2,1,4,3,7,8,5,6]=>1010100=>84
[2,4,1,3,7,8,5,6]=>1000100=>68
[2,4,1,7,3,8,5,6]=>1010100=>84
[2,4,7,1,3,8,5,6]=>1000100=>68
[2,1,4,7,8,3,5,6]=>1010000=>80
[2,4,1,7,8,3,5,6]=>1010000=>80
[2,4,7,1,8,3,5,6]=>1010000=>80
[2,4,7,8,1,3,5,6]=>1000000=>64
[2,4,1,5,3,7,6,8]=>1010010=>82
[2,4,5,1,3,7,6,8]=>1000010=>66
[2,4,5,1,7,3,6,8]=>1010000=>80
[2,4,1,3,5,7,8,6]=>1000010=>66
[2,4,1,5,3,7,8,6]=>1010010=>82
[2,4,5,1,3,7,8,6]=>1000010=>66
[2,1,4,5,7,3,8,6]=>1010010=>82
[2,4,1,5,7,3,8,6]=>1010010=>82
[2,4,5,1,7,3,8,6]=>1010010=>82
[2,4,5,7,1,3,8,6]=>1000010=>66
[2,1,4,5,7,8,3,6]=>1010000=>80
[2,4,5,1,7,8,3,6]=>1010000=>80
[2,4,5,7,1,8,3,6]=>1010000=>80
[2,4,5,7,8,1,3,6]=>1000000=>64
[2,1,4,3,8,5,6,7]=>1010100=>84
[2,4,1,3,8,5,6,7]=>1000100=>68
[2,1,4,8,3,5,6,7]=>1010000=>80
[2,4,1,8,3,5,6,7]=>1010000=>80
[2,4,8,1,3,5,6,7]=>1000000=>64
[2,1,4,3,5,8,6,7]=>1010010=>82
[2,4,1,5,3,8,6,7]=>1010010=>82
[2,1,4,5,8,3,6,7]=>1010000=>80
[2,4,1,5,8,3,6,7]=>1010000=>80
[2,4,5,1,8,3,6,7]=>1010000=>80
[2,4,5,8,1,3,6,7]=>1000000=>64
[2,4,1,5,3,6,8,7]=>1010001=>81
[2,4,1,5,6,3,8,7]=>1010001=>81
[2,4,5,1,6,3,8,7]=>1010001=>81
[2,4,5,6,1,3,8,7]=>1000001=>65
[2,1,4,5,6,8,3,7]=>1010000=>80
[2,4,1,5,6,8,3,7]=>1010000=>80
[2,4,5,1,6,8,3,7]=>1010000=>80
[2,4,5,6,1,8,3,7]=>1010000=>80
[2,4,5,6,8,1,3,7]=>1000000=>64
[2,4,1,3,5,6,7,8]=>1000000=>64
[2,4,1,5,3,6,7,8]=>1010000=>80
[2,4,5,1,3,6,7,8]=>1000000=>64
[2,4,1,5,6,3,7,8]=>1010000=>80
[2,4,5,1,6,3,7,8]=>1010000=>80
[2,4,5,6,1,3,7,8]=>1000000=>64
[2,4,1,5,6,7,3,8]=>1010000=>80
[2,4,5,1,6,7,3,8]=>1010000=>80
[2,4,5,6,1,7,3,8]=>1010000=>80
[2,4,5,6,7,1,3,8]=>1000000=>64
[2,4,1,5,6,7,8,3]=>1010000=>80
[2,4,5,1,6,7,8,3]=>1010000=>80
[2,4,5,6,1,7,8,3]=>1010000=>80
[2,4,5,6,7,1,8,3]=>1010000=>80
[2,4,5,6,7,8,1,3]=>1000000=>64
[2,1,5,3,6,4,8,7]=>1011001=>89
[2,5,1,3,6,4,8,7]=>1001001=>73
[2,1,5,6,3,4,8,7]=>1010001=>81
[2,5,1,6,3,4,8,7]=>1010001=>81
[2,5,6,1,3,4,8,7]=>1000001=>65
[2,1,5,3,6,8,4,7]=>1011000=>88
[2,5,1,3,6,8,4,7]=>1001000=>72
[2,5,1,6,3,8,4,7]=>1011000=>88
[2,5,6,1,3,8,4,7]=>1001000=>72
[2,1,5,6,8,3,4,7]=>1010000=>80
[2,5,1,6,8,3,4,7]=>1010000=>80
[2,5,6,8,1,3,4,7]=>1000000=>64
[2,5,1,3,6,4,7,8]=>1001000=>72
[2,1,5,6,3,4,7,8]=>1010000=>80
[2,5,1,6,3,4,7,8]=>1010000=>80
[2,1,5,3,6,7,4,8]=>1011000=>88
[2,1,5,6,3,7,4,8]=>1011000=>88
[2,5,1,6,3,7,4,8]=>1011000=>88
[2,5,6,1,3,7,4,8]=>1001000=>72
[2,1,5,6,7,3,4,8]=>1010000=>80
[2,5,1,6,7,3,4,8]=>1010000=>80
[2,5,6,1,7,3,4,8]=>1010000=>80
[2,1,5,3,6,7,8,4]=>1011000=>88
[2,5,1,3,6,7,8,4]=>1001000=>72
[2,1,5,6,3,7,8,4]=>1011000=>88
[2,5,1,6,3,7,8,4]=>1011000=>88
[2,5,6,1,3,7,8,4]=>1001000=>72
[2,1,5,6,7,3,8,4]=>1011000=>88
[2,5,1,6,7,3,8,4]=>1011000=>88
[2,5,6,7,1,3,8,4]=>1001000=>72
[2,1,5,6,7,8,3,4]=>1010000=>80
[2,5,1,6,7,8,3,4]=>1010000=>80
[2,5,6,1,7,8,3,4]=>1010000=>80
[2,5,6,7,1,8,3,4]=>1010000=>80
[2,5,6,7,8,1,3,4]=>1000000=>64
[2,1,5,3,7,4,8,6]=>1011010=>90
[2,5,1,3,7,4,8,6]=>1001010=>74
[2,1,5,7,3,4,8,6]=>1010010=>82
[2,5,1,7,3,4,8,6]=>1010010=>82
[2,5,7,1,3,4,8,6]=>1000010=>66
[2,1,5,3,7,8,4,6]=>1011000=>88
[2,5,1,3,7,8,4,6]=>1001000=>72
[2,1,5,7,3,8,4,6]=>1011000=>88
[2,5,1,7,3,8,4,6]=>1011000=>88
[2,5,7,1,3,8,4,6]=>1001000=>72
[2,1,5,7,8,3,4,6]=>1010000=>80
[2,5,1,7,8,3,4,6]=>1010000=>80
[2,5,7,1,8,3,4,6]=>1010000=>80
[2,5,7,8,1,3,4,6]=>1000000=>64
[2,5,1,3,7,4,6,8]=>1001000=>72
[2,1,5,7,3,4,6,8]=>1010000=>80
[2,3,5,1,4,7,6,8]=>1000010=>66
[2,3,5,7,1,4,6,8]=>1000000=>64
[2,3,5,1,7,4,8,6]=>1001010=>74
[2,3,5,7,1,4,8,6]=>1000010=>66
[2,3,1,5,7,8,4,6]=>1001000=>72
[2,3,5,7,1,8,4,6]=>1001000=>72
[2,3,5,7,8,1,4,6]=>1000000=>64
[2,1,5,3,8,4,6,7]=>1011000=>88
[2,5,1,3,8,4,6,7]=>1001000=>72
[2,1,5,8,3,4,6,7]=>1010000=>80
[2,5,1,8,3,4,6,7]=>1010000=>80
[2,5,8,1,3,4,6,7]=>1000000=>64
[2,3,5,1,4,8,6,7]=>1000010=>66
[2,1,3,5,8,4,6,7]=>1001000=>72
[2,3,5,1,8,4,6,7]=>1001000=>72
[2,3,5,8,1,4,6,7]=>1000000=>64
[2,1,5,3,4,6,8,7]=>1010001=>81
[2,3,5,1,6,4,8,7]=>1001001=>73
[2,3,5,6,1,4,8,7]=>1000001=>65
[2,1,3,5,6,8,4,7]=>1001000=>72
[2,3,1,5,6,8,4,7]=>1001000=>72
[2,3,5,1,6,8,4,7]=>1001000=>72
[2,3,5,6,1,8,4,7]=>1001000=>72
[2,3,5,6,8,1,4,7]=>1000000=>64
[2,1,5,3,4,6,7,8]=>1010000=>80
[2,5,1,3,4,6,7,8]=>1000000=>64
[2,3,5,1,4,6,7,8]=>1000000=>64
[2,3,5,1,6,4,7,8]=>1001000=>72
[2,3,5,6,1,4,7,8]=>1000000=>64
[2,3,5,6,1,7,4,8]=>1001000=>72
[2,3,5,6,7,1,4,8]=>1000000=>64
[2,3,5,1,6,7,8,4]=>1001000=>72
[2,3,5,6,1,7,8,4]=>1001000=>72
[2,3,5,6,7,1,8,4]=>1001000=>72
[2,3,5,6,7,8,1,4]=>1000000=>64
[2,1,6,3,7,4,8,5]=>1011100=>92
[2,6,1,3,7,4,8,5]=>1001100=>76
[2,1,6,7,3,4,8,5]=>1010100=>84
[2,6,1,7,3,4,8,5]=>1010100=>84
[2,6,7,1,3,4,8,5]=>1000100=>68
[2,1,6,3,7,8,4,5]=>1011000=>88
[2,6,1,3,7,8,4,5]=>1001000=>72
[2,1,6,7,3,8,4,5]=>1011000=>88
[2,6,1,7,3,8,4,5]=>1011000=>88
[2,6,7,1,3,8,4,5]=>1001000=>72
[2,1,6,7,8,3,4,5]=>1010000=>80
[2,6,1,7,8,3,4,5]=>1010000=>80
[2,6,7,1,8,3,4,5]=>1010000=>80
[2,6,7,8,1,3,4,5]=>1000000=>64
[2,1,6,3,7,4,5,8]=>1011000=>88
[2,6,1,7,3,4,5,8]=>1010000=>80
[2,6,7,1,3,4,5,8]=>1000000=>64
[2,6,1,3,4,7,5,8]=>1000100=>68
[2,3,1,6,4,7,5,8]=>1001100=>76
[2,3,6,1,4,7,5,8]=>1000100=>68
[2,3,6,7,1,4,5,8]=>1000000=>64
[2,1,6,3,4,7,8,5]=>1010100=>84
[2,6,1,3,4,7,8,5]=>1000100=>68
[2,3,6,1,4,7,8,5]=>1000100=>68
[2,1,3,6,7,4,8,5]=>1001100=>76
[2,3,6,7,1,4,8,5]=>1000100=>68
[2,1,3,6,7,8,4,5]=>1001000=>72
[2,3,1,6,7,8,4,5]=>1001000=>72
[2,3,6,1,7,8,4,5]=>1001000=>72
[2,3,6,7,1,8,4,5]=>1001000=>72
[2,3,6,7,8,1,4,5]=>1000000=>64
[2,1,6,3,8,4,5,7]=>1011000=>88
[2,6,1,3,8,4,5,7]=>1001000=>72
[2,1,6,8,3,4,5,7]=>1010000=>80
[2,6,1,8,3,4,5,7]=>1010000=>80
[2,6,8,1,3,4,5,7]=>1000000=>64
[2,1,6,3,4,8,5,7]=>1010100=>84
[2,6,1,3,4,8,5,7]=>1000100=>68
[2,3,1,6,4,8,5,7]=>1001100=>76
[2,3,6,1,4,8,5,7]=>1000100=>68
[2,3,1,6,8,4,5,7]=>1001000=>72
[2,3,6,1,8,4,5,7]=>1001000=>72
[2,3,6,8,1,4,5,7]=>1000000=>64
[2,1,6,3,4,5,8,7]=>1010001=>81
[2,6,1,3,4,5,8,7]=>1000001=>65
[2,1,3,6,4,5,8,7]=>1001001=>73
[2,3,6,1,4,5,8,7]=>1000001=>65
[2,3,4,1,6,8,5,7]=>1000100=>68
[2,3,4,6,1,8,5,7]=>1000100=>68
[2,3,4,6,8,1,5,7]=>1000000=>64
[2,6,1,3,4,5,7,8]=>1000000=>64
[2,1,3,6,4,5,7,8]=>1001000=>72
[2,3,1,6,4,5,7,8]=>1001000=>72
[2,3,6,1,4,5,7,8]=>1000000=>64
[2,3,4,6,1,5,7,8]=>1000000=>64
[2,3,4,6,1,7,5,8]=>1000100=>68
[2,3,4,6,7,1,5,8]=>1000000=>64
[2,3,4,6,1,7,8,5]=>1000100=>68
[2,3,4,6,7,8,1,5]=>1000000=>64
[2,1,7,3,8,4,5,6]=>1011000=>88
[2,7,1,3,8,4,5,6]=>1001000=>72
[2,1,7,8,3,4,5,6]=>1010000=>80
[2,7,1,8,3,4,5,6]=>1010000=>80
[2,7,8,1,3,4,5,6]=>1000000=>64
[2,1,7,3,4,8,5,6]=>1010100=>84
[2,7,1,3,4,8,5,6]=>1000100=>68
[2,1,3,7,4,8,5,6]=>1001100=>76
[2,3,1,7,4,8,5,6]=>1001100=>76
[2,3,7,1,4,8,5,6]=>1000100=>68
[2,1,3,7,8,4,5,6]=>1001000=>72
[2,3,1,7,8,4,5,6]=>1001000=>72
[2,3,7,8,1,4,5,6]=>1000000=>64
[2,1,7,3,4,5,8,6]=>1010010=>82
[2,7,1,3,4,5,8,6]=>1000010=>66
[2,3,1,7,4,5,8,6]=>1001010=>74
[2,3,7,1,4,5,8,6]=>1000010=>66
[2,1,3,4,7,5,8,6]=>1000110=>70
[2,3,4,1,7,5,8,6]=>1000110=>70
[2,3,4,7,1,5,8,6]=>1000010=>66
[2,1,3,4,7,8,5,6]=>1000100=>68
[2,3,1,4,7,8,5,6]=>1000100=>68
[2,3,4,1,7,8,5,6]=>1000100=>68
[2,3,4,7,1,8,5,6]=>1000100=>68
[2,3,4,7,8,1,5,6]=>1000000=>64
[2,1,7,3,4,5,6,8]=>1010000=>80
[2,7,1,3,4,5,6,8]=>1000000=>64
[2,3,7,1,4,5,6,8]=>1000000=>64
[2,1,3,4,7,5,6,8]=>1000100=>68
[2,3,1,4,7,5,6,8]=>1000100=>68
[2,3,4,1,7,5,6,8]=>1000100=>68
[2,3,4,7,1,5,6,8]=>1000000=>64
[2,3,4,5,7,1,6,8]=>1000000=>64
[2,3,4,5,7,1,8,6]=>1000010=>66
[2,3,4,5,7,8,1,6]=>1000000=>64
[2,1,8,3,4,5,6,7]=>1010000=>80
[2,8,1,3,4,5,6,7]=>1000000=>64
[2,1,3,8,4,5,6,7]=>1001000=>72
[2,3,1,8,4,5,6,7]=>1001000=>72
[2,3,8,1,4,5,6,7]=>1000000=>64
[2,1,3,4,8,5,6,7]=>1000100=>68
[2,3,1,4,8,5,6,7]=>1000100=>68
[2,3,4,1,8,5,6,7]=>1000100=>68
[2,3,4,8,1,5,6,7]=>1000000=>64
[2,1,3,4,5,8,6,7]=>1000010=>66
[2,3,1,4,5,8,6,7]=>1000010=>66
[2,3,4,1,5,8,6,7]=>1000010=>66
[2,3,4,5,1,8,6,7]=>1000010=>66
[2,3,4,5,8,1,6,7]=>1000000=>64
[2,3,4,5,6,8,1,7]=>1000000=>64
[3,1,4,2,6,5,8,7]=>1100101=>101
[3,4,1,2,6,5,8,7]=>1000101=>69
[3,1,4,6,2,5,8,7]=>1100001=>97
[3,4,1,6,2,5,8,7]=>1100001=>97
[3,4,6,1,2,5,8,7]=>1000001=>65
[3,1,4,2,6,8,5,7]=>1100100=>100
[3,4,1,2,6,8,5,7]=>1000100=>68
[3,1,4,6,2,8,5,7]=>1100100=>100
[3,4,1,6,2,8,5,7]=>1100100=>100
[3,1,4,6,8,2,5,7]=>1100000=>96
[3,4,1,6,8,2,5,7]=>1100000=>96
[3,4,6,8,1,2,5,7]=>1000000=>64
[3,1,4,2,6,5,7,8]=>1100100=>100
[3,4,1,2,6,5,7,8]=>1000100=>68
[3,1,4,2,6,7,5,8]=>1100100=>100
[3,4,1,2,6,7,5,8]=>1000100=>68
[3,4,1,6,2,7,5,8]=>1100100=>100
[3,4,6,1,2,7,5,8]=>1000100=>68
[3,4,1,6,7,2,5,8]=>1100000=>96
[3,4,6,7,1,2,5,8]=>1000000=>64
[3,1,4,2,6,7,8,5]=>1100100=>100
[3,4,1,2,6,7,8,5]=>1000100=>68
[3,1,4,6,2,7,8,5]=>1100100=>100
[3,4,1,6,2,7,8,5]=>1100100=>100
[3,4,6,1,2,7,8,5]=>1000100=>68
[3,1,4,6,7,2,8,5]=>1100100=>100
[3,4,1,6,7,2,8,5]=>1100100=>100
[3,4,6,1,7,2,8,5]=>1100100=>100
[3,4,6,7,1,2,8,5]=>1000100=>68
[3,1,4,6,7,8,2,5]=>1100000=>96
[3,4,1,6,7,8,2,5]=>1100000=>96
[3,4,6,1,7,8,2,5]=>1100000=>96
[3,4,6,7,1,8,2,5]=>1100000=>96
[3,4,6,7,8,1,2,5]=>1000000=>64
[3,1,4,2,7,5,8,6]=>1100110=>102
[3,4,1,2,7,5,8,6]=>1000110=>70
[3,1,4,7,2,5,8,6]=>1100010=>98
[3,4,1,7,2,5,8,6]=>1100010=>98
[3,4,7,1,2,5,8,6]=>1000010=>66
[3,1,4,2,7,8,5,6]=>1100100=>100
[3,4,1,2,7,8,5,6]=>1000100=>68
[3,1,4,7,2,8,5,6]=>1100100=>100
[3,4,7,1,8,2,5,6]=>1100000=>96
[3,4,7,8,1,2,5,6]=>1000000=>64
[3,1,4,2,7,5,6,8]=>1100100=>100
[3,4,1,2,7,5,6,8]=>1000100=>68
[3,4,1,2,5,7,6,8]=>1000010=>66
[3,1,4,5,2,7,6,8]=>1100010=>98
[3,4,1,5,2,7,6,8]=>1100010=>98
[3,4,1,5,7,2,6,8]=>1100000=>96
[3,4,5,1,7,2,6,8]=>1100000=>96
[3,4,5,7,1,2,6,8]=>1000000=>64
[3,1,4,2,5,7,8,6]=>1100010=>98
[3,4,1,2,5,7,8,6]=>1000010=>66
[3,1,4,5,2,7,8,6]=>1100010=>98
[3,4,5,1,2,7,8,6]=>1000010=>66
[3,1,4,5,7,2,8,6]=>1100010=>98
[3,4,1,5,7,2,8,6]=>1100010=>98
[3,4,5,7,1,2,8,6]=>1000010=>66
[3,1,4,5,7,8,2,6]=>1100000=>96
[3,4,1,5,7,8,2,6]=>1100000=>96
[3,4,5,1,7,8,2,6]=>1100000=>96
[3,4,5,7,1,8,2,6]=>1100000=>96
[3,4,5,7,8,1,2,6]=>1000000=>64
[3,1,4,2,8,5,6,7]=>1100100=>100
[3,4,1,2,8,5,6,7]=>1000100=>68
[3,1,4,8,2,5,6,7]=>1100000=>96
[3,4,1,8,2,5,6,7]=>1100000=>96
[3,4,8,1,2,5,6,7]=>1000000=>64
[3,1,4,2,5,8,6,7]=>1100010=>98
[3,4,1,2,5,8,6,7]=>1000010=>66
[3,4,1,5,2,8,6,7]=>1100010=>98
[3,4,5,1,2,8,6,7]=>1000010=>66
[3,1,4,5,8,2,6,7]=>1100000=>96
[3,4,1,5,8,2,6,7]=>1100000=>96
[3,4,5,8,1,2,6,7]=>1000000=>64
[3,4,1,2,5,6,8,7]=>1000001=>65
[3,4,5,1,2,6,8,7]=>1000001=>65
[3,1,4,5,6,2,8,7]=>1100001=>97
[3,4,1,5,6,2,8,7]=>1100001=>97
[3,4,5,1,6,2,8,7]=>1100001=>97
[3,4,5,6,1,2,8,7]=>1000001=>65
[3,1,4,5,6,8,2,7]=>1100000=>96
[3,4,1,5,6,8,2,7]=>1100000=>96
[3,4,5,6,1,8,2,7]=>1100000=>96
[3,4,5,6,8,1,2,7]=>1000000=>64
[3,1,4,2,5,6,7,8]=>1100000=>96
[3,1,4,5,2,6,7,8]=>1100000=>96
[3,4,1,5,2,6,7,8]=>1100000=>96
[3,1,4,5,6,2,7,8]=>1100000=>96
[3,4,1,5,6,2,7,8]=>1100000=>96
[3,4,5,1,6,2,7,8]=>1100000=>96
[3,1,4,5,6,7,2,8]=>1100000=>96
[3,4,1,5,6,7,2,8]=>1100000=>96
[3,4,5,1,6,7,2,8]=>1100000=>96
[3,4,5,6,1,7,2,8]=>1100000=>96
[3,1,4,5,6,7,8,2]=>1100000=>96
[3,4,1,5,6,7,8,2]=>1100000=>96
[3,4,5,1,6,7,8,2]=>1100000=>96
[3,4,5,6,1,7,8,2]=>1100000=>96
[3,4,5,6,7,1,8,2]=>1100000=>96
[3,1,5,2,6,4,8,7]=>1101001=>105
[3,5,1,2,6,4,8,7]=>1001001=>73
[3,1,5,6,2,4,8,7]=>1100001=>97
[3,5,1,6,2,4,8,7]=>1100001=>97
[3,5,6,1,2,4,8,7]=>1000001=>65
[3,1,5,2,6,8,4,7]=>1101000=>104
[3,5,1,2,6,8,4,7]=>1001000=>72
[3,1,5,6,2,8,4,7]=>1101000=>104
[3,5,6,1,2,8,4,7]=>1001000=>72
[3,1,5,6,8,2,4,7]=>1100000=>96
[3,5,1,6,8,2,4,7]=>1100000=>96
[3,5,6,1,8,2,4,7]=>1100000=>96
[3,5,6,8,1,2,4,7]=>1000000=>64
[3,1,5,6,2,4,7,8]=>1100000=>96
[3,5,1,6,2,4,7,8]=>1100000=>96
[3,5,6,1,2,4,7,8]=>1000000=>64
[3,5,1,2,6,7,4,8]=>1001000=>72
[3,5,1,6,2,7,4,8]=>1101000=>104
[3,5,6,1,2,7,4,8]=>1001000=>72
[3,5,1,6,7,2,4,8]=>1100000=>96
[3,5,6,1,7,2,4,8]=>1100000=>96
[3,5,6,7,1,2,4,8]=>1000000=>64
[3,1,5,2,6,7,8,4]=>1101000=>104
[3,5,1,2,6,7,8,4]=>1001000=>72
[3,1,5,6,2,7,8,4]=>1101000=>104
[3,5,1,6,2,7,8,4]=>1101000=>104
[3,5,6,1,2,7,8,4]=>1001000=>72
[3,1,5,6,7,2,8,4]=>1101000=>104
[3,5,1,6,7,2,8,4]=>1101000=>104
[3,5,6,1,7,2,8,4]=>1101000=>104
[3,5,6,7,1,2,8,4]=>1001000=>72
[3,1,5,6,7,8,2,4]=>1100000=>96
[3,5,1,6,7,8,2,4]=>1100000=>96
[3,5,6,1,7,8,2,4]=>1100000=>96
[3,5,6,7,1,8,2,4]=>1100000=>96
[3,5,6,7,8,1,2,4]=>1000000=>64
[3,1,5,2,7,4,8,6]=>1101010=>106
[3,5,1,2,7,4,8,6]=>1001010=>74
[3,1,5,7,2,4,8,6]=>1100010=>98
[3,5,1,7,2,4,8,6]=>1100010=>98
[3,5,7,1,2,4,8,6]=>1000010=>66
[3,1,5,2,7,8,4,6]=>1101000=>104
[3,5,1,2,7,8,4,6]=>1001000=>72
[3,1,5,7,2,8,4,6]=>1101000=>104
[3,5,1,7,2,8,4,6]=>1101000=>104
[3,5,7,1,2,8,4,6]=>1001000=>72
[3,1,5,7,8,2,4,6]=>1100000=>96
[3,5,1,7,8,2,4,6]=>1100000=>96
[3,5,7,8,1,2,4,6]=>1000000=>64
[3,1,5,2,7,4,6,8]=>1101000=>104
[3,5,1,2,7,4,6,8]=>1001000=>72
[3,1,5,7,2,4,6,8]=>1100000=>96
[3,5,1,7,2,4,6,8]=>1100000=>96
[3,5,7,1,2,4,6,8]=>1000000=>64
[3,1,5,2,4,7,6,8]=>1100010=>98
[3,5,1,2,4,7,6,8]=>1000010=>66
[3,1,2,5,4,7,6,8]=>1001010=>74
[1,3,5,2,4,7,6,8]=>0100010=>34
[3,1,2,5,7,4,6,8]=>1001000=>72
[1,3,2,5,7,4,6,8]=>0101000=>40
[1,3,5,2,7,4,6,8]=>0101000=>40
[1,3,5,7,2,4,6,8]=>0100000=>32
[3,1,5,2,4,7,8,6]=>1100010=>98
[3,5,1,2,4,7,8,6]=>1000010=>66
[1,3,5,2,4,7,8,6]=>0100010=>34
[3,1,2,5,7,4,8,6]=>1001010=>74
[1,3,2,5,7,4,8,6]=>0101010=>42
[1,3,5,2,7,4,8,6]=>0101010=>42
[1,3,5,7,2,4,8,6]=>0100010=>34
[3,1,2,5,7,8,4,6]=>1001000=>72
[1,3,2,5,7,8,4,6]=>0101000=>40
[1,3,5,2,7,8,4,6]=>0101000=>40
[1,3,5,7,2,8,4,6]=>0101000=>40
[1,3,5,7,8,2,4,6]=>0100000=>32
[3,1,5,2,8,4,6,7]=>1101000=>104
[3,5,1,2,8,4,6,7]=>1001000=>72
[3,1,5,8,2,4,6,7]=>1100000=>96
[3,5,1,8,2,4,6,7]=>1100000=>96
[3,1,5,2,4,8,6,7]=>1100010=>98
[3,5,1,2,4,8,6,7]=>1000010=>66
[1,3,2,5,4,8,6,7]=>0101010=>42
[1,3,5,2,4,8,6,7]=>0100010=>34
[3,1,2,5,8,4,6,7]=>1001000=>72
[1,3,2,5,8,4,6,7]=>0101000=>40
[1,3,5,2,8,4,6,7]=>0101000=>40
[1,3,5,8,2,4,6,7]=>0100000=>32
[3,1,5,2,4,6,8,7]=>1100001=>97
[3,5,1,2,4,6,8,7]=>1000001=>65
[3,1,2,5,4,6,8,7]=>1001001=>73
[1,3,5,2,4,6,8,7]=>0100001=>33
[1,3,5,2,6,4,8,7]=>0101001=>41
[1,3,5,6,2,4,8,7]=>0100001=>33
[3,1,2,5,6,8,4,7]=>1001000=>72
[1,3,5,2,6,8,4,7]=>0101000=>40
[1,3,5,6,2,8,4,7]=>0101000=>40
[1,3,5,6,8,2,4,7]=>0100000=>32
[3,1,5,2,4,6,7,8]=>1100000=>96
[3,5,1,2,4,6,7,8]=>1000000=>64
[1,3,5,2,4,6,7,8]=>0100000=>32
[3,1,2,5,6,4,7,8]=>1001000=>72
[1,3,5,2,6,4,7,8]=>0101000=>40
[1,3,5,6,2,4,7,8]=>0100000=>32
[3,1,2,5,6,7,4,8]=>1001000=>72
[1,3,5,2,6,7,4,8]=>0101000=>40
[1,3,5,6,2,7,4,8]=>0101000=>40
[1,3,5,6,7,2,4,8]=>0100000=>32
[3,1,2,5,6,7,8,4]=>1001000=>72
[1,3,5,2,6,7,8,4]=>0101000=>40
[1,3,5,6,2,7,8,4]=>0101000=>40
[1,3,5,6,7,2,8,4]=>0101000=>40
[1,3,5,6,7,8,2,4]=>0100000=>32
[3,1,6,2,7,4,8,5]=>1101100=>108
[3,6,1,2,7,4,8,5]=>1001100=>76
[3,6,1,7,2,4,8,5]=>1100100=>100
[3,6,7,1,2,4,8,5]=>1000100=>68
[3,6,1,2,7,8,4,5]=>1001000=>72
[3,1,6,7,2,8,4,5]=>1101000=>104
[3,6,1,7,2,8,4,5]=>1101000=>104
[3,6,7,1,2,8,4,5]=>1001000=>72
[3,6,1,7,8,2,4,5]=>1100000=>96
[3,6,7,8,1,2,4,5]=>1000000=>64
[3,1,6,2,7,4,5,8]=>1101000=>104
[3,1,6,7,2,4,5,8]=>1100000=>96
[3,6,7,1,2,4,5,8]=>1000000=>64
[3,1,6,2,4,7,5,8]=>1100100=>100
[3,6,1,2,4,7,5,8]=>1000100=>68
[3,1,2,6,4,7,5,8]=>1001100=>76
[1,3,2,6,4,7,5,8]=>0101100=>44
[1,3,6,2,4,7,5,8]=>0100100=>36
[1,3,2,6,7,4,5,8]=>0101000=>40
[1,3,6,2,7,4,5,8]=>0101000=>40
[3,1,6,2,4,7,8,5]=>1100100=>100
[3,6,1,2,4,7,8,5]=>1000100=>68
[3,1,2,6,4,7,8,5]=>1001100=>76
[1,3,2,6,4,7,8,5]=>0101100=>44
[1,3,6,2,4,7,8,5]=>0100100=>36
[3,1,2,6,7,4,8,5]=>1001100=>76
[1,3,2,6,7,4,8,5]=>0101100=>44
[1,3,6,2,7,4,8,5]=>0101100=>44
[1,3,6,7,2,4,8,5]=>0100100=>36
[3,1,2,6,7,8,4,5]=>1001000=>72
[1,3,2,6,7,8,4,5]=>0101000=>40
[1,3,6,2,7,8,4,5]=>0101000=>40
[1,3,6,7,8,2,4,5]=>0100000=>32
[3,1,6,2,8,4,5,7]=>1101000=>104
[3,6,1,2,8,4,5,7]=>1001000=>72
[3,1,6,8,2,4,5,7]=>1100000=>96
[3,6,1,8,2,4,5,7]=>1100000=>96
[3,6,8,1,2,4,5,7]=>1000000=>64
[3,1,6,2,4,8,5,7]=>1100100=>100
[3,6,1,2,4,8,5,7]=>1000100=>68
[1,3,2,6,4,8,5,7]=>0101100=>44
[1,3,6,2,4,8,5,7]=>0100100=>36
[3,1,2,6,8,4,5,7]=>1001000=>72
[1,3,2,6,8,4,5,7]=>0101000=>40
[3,1,6,2,4,5,8,7]=>1100001=>97
[3,6,1,2,4,5,8,7]=>1000001=>65
[3,1,2,6,4,5,8,7]=>1001001=>73
[1,3,6,2,4,5,8,7]=>0100001=>33
[3,1,2,4,6,5,8,7]=>1000101=>69
[1,3,4,6,2,5,8,7]=>0100001=>33
[3,1,2,4,6,8,5,7]=>1000100=>68
[1,3,2,4,6,8,5,7]=>0100100=>36
[1,3,4,6,8,2,5,7]=>0100000=>32
[3,1,6,2,4,5,7,8]=>1100000=>96
[3,6,1,2,4,5,7,8]=>1000000=>64
[1,3,2,6,4,5,7,8]=>0101000=>40
[1,3,6,2,4,5,7,8]=>0100000=>32
[1,3,4,6,2,5,7,8]=>0100000=>32
[3,1,2,4,6,7,5,8]=>1000100=>68
[1,3,4,6,2,7,5,8]=>0100100=>36
[1,3,4,6,7,2,5,8]=>0100000=>32
[3,1,2,4,6,7,8,5]=>1000100=>68
[1,3,4,6,7,2,8,5]=>0100100=>36
[1,3,4,6,7,8,2,5]=>0100000=>32
[3,1,7,2,8,4,5,6]=>1101000=>104
[3,7,1,2,8,4,5,6]=>1001000=>72
[3,1,7,8,2,4,5,6]=>1100000=>96
[3,7,1,8,2,4,5,6]=>1100000=>96
[3,7,8,1,2,4,5,6]=>1000000=>64
[3,7,1,2,4,8,5,6]=>1000100=>68
[3,1,2,7,4,8,5,6]=>1001100=>76
[1,3,2,7,4,8,5,6]=>0101100=>44
[1,3,7,2,4,8,5,6]=>0100100=>36
[3,1,2,7,8,4,5,6]=>1001000=>72
[1,3,7,2,8,4,5,6]=>0101000=>40
[1,3,7,8,2,4,5,6]=>0100000=>32
[3,1,7,2,4,5,8,6]=>1100010=>98
[3,7,1,2,4,5,8,6]=>1000010=>66
[1,3,7,2,4,5,8,6]=>0100010=>34
[3,1,2,4,7,5,8,6]=>1000110=>70
[1,3,2,4,7,5,8,6]=>0100110=>38
[1,3,4,2,7,5,8,6]=>0100110=>38
[1,3,4,7,2,5,8,6]=>0100010=>34
[3,1,2,4,7,8,5,6]=>1000100=>68
[1,3,2,4,7,8,5,6]=>0100100=>36
[1,3,4,2,7,8,5,6]=>0100100=>36
[1,3,4,7,8,2,5,6]=>0100000=>32
[3,1,7,2,4,5,6,8]=>1100000=>96
[3,7,1,2,4,5,6,8]=>1000000=>64
[3,1,2,7,4,5,6,8]=>1001000=>72
[1,3,2,7,4,5,6,8]=>0101000=>40
[1,3,7,2,4,5,6,8]=>0100000=>32
[3,1,2,4,7,5,6,8]=>1000100=>68
[1,3,4,7,2,5,6,8]=>0100000=>32
[3,1,2,4,5,7,6,8]=>1000010=>66
[1,3,4,5,7,2,6,8]=>0100000=>32
[3,1,2,4,5,7,8,6]=>1000010=>66
[1,3,4,5,7,2,8,6]=>0100010=>34
[1,3,4,5,7,8,2,6]=>0100000=>32
[3,1,8,2,4,5,6,7]=>1100000=>96
[3,8,1,2,4,5,6,7]=>1000000=>64
[3,1,2,8,4,5,6,7]=>1001000=>72
[1,3,2,8,4,5,6,7]=>0101000=>40
[1,3,8,2,4,5,6,7]=>0100000=>32
[3,1,2,4,8,5,6,7]=>1000100=>68
[1,3,2,4,8,5,6,7]=>0100100=>36
[1,3,4,2,8,5,6,7]=>0100100=>36
[1,3,4,8,2,5,6,7]=>0100000=>32
[3,1,2,4,5,8,6,7]=>1000010=>66
[1,3,2,4,5,8,6,7]=>0100010=>34
[1,3,4,2,5,8,6,7]=>0100010=>34
[1,3,4,5,2,8,6,7]=>0100010=>34
[1,3,4,5,8,2,6,7]=>0100000=>32
[3,1,2,4,5,6,8,7]=>1000001=>65
[1,3,4,5,6,8,2,7]=>0100000=>32
[4,1,5,2,6,3,8,7]=>1110001=>113
[4,5,1,2,6,3,8,7]=>1010001=>81
[4,1,5,6,2,3,8,7]=>1100001=>97
[4,5,1,6,2,3,8,7]=>1100001=>97
[4,5,6,1,2,3,8,7]=>1000001=>65
[4,1,5,2,6,8,3,7]=>1110000=>112
[4,5,1,2,6,8,3,7]=>1010000=>80
[4,1,5,6,2,8,3,7]=>1110000=>112
[4,5,1,6,2,8,3,7]=>1110000=>112
[4,5,6,1,2,8,3,7]=>1010000=>80
[4,1,5,6,8,2,3,7]=>1100000=>96
[4,5,1,6,8,2,3,7]=>1100000=>96
[4,5,6,1,8,2,3,7]=>1100000=>96
[4,5,6,8,1,2,3,7]=>1000000=>64
[4,1,5,2,6,3,7,8]=>1110000=>112
[4,1,5,6,2,3,7,8]=>1100000=>96
[4,5,1,6,2,3,7,8]=>1100000=>96
[4,5,1,2,6,7,3,8]=>1010000=>80
[4,5,1,6,2,7,3,8]=>1110000=>112
[4,5,6,1,2,7,3,8]=>1010000=>80
[4,1,5,6,7,2,3,8]=>1100000=>96
[4,5,1,6,7,2,3,8]=>1100000=>96
[4,5,6,1,7,2,3,8]=>1100000=>96
[4,1,5,2,6,7,8,3]=>1110000=>112
[4,5,1,2,6,7,8,3]=>1010000=>80
[4,5,1,6,2,7,8,3]=>1110000=>112
[4,5,6,1,2,7,8,3]=>1010000=>80
[4,1,5,6,7,2,8,3]=>1110000=>112
[4,5,1,6,7,2,8,3]=>1110000=>112
[4,5,6,1,7,2,8,3]=>1110000=>112
[4,5,6,7,1,2,8,3]=>1010000=>80
[4,1,5,6,7,8,2,3]=>1100000=>96
[4,5,1,6,7,8,2,3]=>1100000=>96
[4,5,6,1,7,8,2,3]=>1100000=>96
[4,5,6,7,1,8,2,3]=>1100000=>96
[4,1,5,2,7,3,8,6]=>1110010=>114
[4,5,1,2,7,3,8,6]=>1010010=>82
[4,5,1,7,2,3,8,6]=>1100010=>98
[4,5,7,1,2,3,8,6]=>1000010=>66
[4,1,5,2,7,8,3,6]=>1110000=>112
[4,5,1,2,7,8,3,6]=>1010000=>80
[4,1,5,7,2,8,3,6]=>1110000=>112
[4,5,1,7,2,8,3,6]=>1110000=>112
[4,5,7,1,2,8,3,6]=>1010000=>80
[4,5,1,7,8,2,3,6]=>1100000=>96
[4,5,7,8,1,2,3,6]=>1000000=>64
[4,1,5,2,7,3,6,8]=>1110000=>112
[4,5,1,2,7,3,6,8]=>1010000=>80
[4,1,5,7,2,3,6,8]=>1100000=>96
[4,5,1,7,2,3,6,8]=>1100000=>96
[4,1,5,2,3,7,6,8]=>1100010=>98
[4,5,1,2,3,7,6,8]=>1000010=>66
[4,1,2,5,3,7,6,8]=>1010010=>82
[1,4,2,5,3,7,6,8]=>0110010=>50
[1,4,5,2,3,7,6,8]=>0100010=>34
[4,1,2,5,7,3,6,8]=>1010000=>80
[1,4,2,5,7,3,6,8]=>0110000=>48
[1,4,5,2,7,3,6,8]=>0110000=>48
[1,4,5,7,2,3,6,8]=>0100000=>32
[4,1,5,2,3,7,8,6]=>1100010=>98
[4,1,2,5,3,7,8,6]=>1010010=>82
[1,4,2,5,3,7,8,6]=>0110010=>50
[1,4,5,2,3,7,8,6]=>0100010=>34
[4,1,2,5,7,3,8,6]=>1010010=>82
[1,4,2,5,7,3,8,6]=>0110010=>50
[1,4,5,2,7,3,8,6]=>0110010=>50
[1,4,5,7,2,3,8,6]=>0100010=>34
[4,1,2,5,7,8,3,6]=>1010000=>80
[1,4,2,5,7,8,3,6]=>0110000=>48
[1,4,5,2,7,8,3,6]=>0110000=>48
[1,4,5,7,8,2,3,6]=>0100000=>32
[4,1,5,2,8,3,6,7]=>1110000=>112
[4,5,1,2,8,3,6,7]=>1010000=>80
[4,1,5,8,2,3,6,7]=>1100000=>96
[4,5,1,8,2,3,6,7]=>1100000=>96
[4,5,8,1,2,3,6,7]=>1000000=>64
[4,1,5,2,3,8,6,7]=>1100010=>98
[4,5,1,2,3,8,6,7]=>1000010=>66
[4,1,2,5,3,8,6,7]=>1010010=>82
[1,4,2,5,3,8,6,7]=>0110010=>50
[1,4,5,2,3,8,6,7]=>0100010=>34
[4,1,2,5,8,3,6,7]=>1010000=>80
[1,4,2,5,8,3,6,7]=>0110000=>48
[1,4,5,2,8,3,6,7]=>0110000=>48
[1,4,5,8,2,3,6,7]=>0100000=>32
[1,4,2,5,3,6,8,7]=>0110001=>49
[4,1,2,5,6,3,8,7]=>1010001=>81
[1,4,5,2,6,3,8,7]=>0110001=>49
[1,4,5,6,2,3,8,7]=>0100001=>33
[4,1,2,5,6,8,3,7]=>1010000=>80
[1,4,2,5,6,8,3,7]=>0110000=>48
[1,4,5,2,6,8,3,7]=>0110000=>48
[1,4,5,6,2,8,3,7]=>0110000=>48
[1,4,5,6,8,2,3,7]=>0100000=>32
[4,1,5,2,3,6,7,8]=>1100000=>96
[4,1,2,5,3,6,7,8]=>1010000=>80
[1,4,2,5,3,6,7,8]=>0110000=>48
[1,4,5,2,3,6,7,8]=>0100000=>32
[4,1,2,5,6,3,7,8]=>1010000=>80
[1,4,5,2,6,3,7,8]=>0110000=>48
[1,4,5,6,2,3,7,8]=>0100000=>32
[4,1,2,5,6,7,3,8]=>1010000=>80
[1,4,2,5,6,7,3,8]=>0110000=>48
[1,4,5,2,6,7,3,8]=>0110000=>48
[1,4,5,6,2,7,3,8]=>0110000=>48
[1,4,5,6,7,2,3,8]=>0100000=>32
[4,1,2,5,6,7,8,3]=>1010000=>80
[1,4,2,5,6,7,8,3]=>0110000=>48
[1,4,5,2,6,7,8,3]=>0110000=>48
[1,4,5,6,2,7,8,3]=>0110000=>48
[1,4,5,6,7,2,8,3]=>0110000=>48
[1,4,5,6,7,8,2,3]=>0100000=>32
[4,1,6,2,7,3,8,5]=>1110100=>116
[4,1,6,7,2,3,8,5]=>1100100=>100
[4,6,1,7,2,3,8,5]=>1100100=>100
[4,6,7,1,2,3,8,5]=>1000100=>68
[4,6,1,2,7,8,3,5]=>1010000=>80
[4,1,6,7,2,8,3,5]=>1110000=>112
[4,6,1,7,2,8,3,5]=>1110000=>112
[4,1,6,7,8,2,3,5]=>1100000=>96
[4,6,1,7,8,2,3,5]=>1100000=>96
[4,6,7,1,8,2,3,5]=>1100000=>96
[4,6,7,8,1,2,3,5]=>1000000=>64
[4,1,6,2,7,3,5,8]=>1110000=>112
[4,6,1,2,7,3,5,8]=>1010000=>80
[4,1,6,7,2,3,5,8]=>1100000=>96
[4,6,1,7,2,3,5,8]=>1100000=>96
[4,6,7,1,2,3,5,8]=>1000000=>64
[4,1,6,2,3,7,5,8]=>1100100=>100
[4,6,1,2,3,7,5,8]=>1000100=>68
[4,1,2,6,3,7,5,8]=>1010100=>84
[1,4,2,6,3,7,5,8]=>0110100=>52
[4,1,2,6,7,3,5,8]=>1010000=>80
[1,4,2,6,7,3,5,8]=>0110000=>48
[1,4,6,2,7,3,5,8]=>0110000=>48
[1,4,6,7,2,3,5,8]=>0100000=>32
[4,1,6,2,3,7,8,5]=>1100100=>100
[4,1,2,6,3,7,8,5]=>1010100=>84
[1,4,6,2,3,7,8,5]=>0100100=>36
[4,1,2,6,7,3,8,5]=>1010100=>84
[1,4,6,2,7,3,8,5]=>0110100=>52
[1,4,6,7,2,3,8,5]=>0100100=>36
[1,4,2,6,7,8,3,5]=>0110000=>48
[1,4,6,2,7,8,3,5]=>0110000=>48
[1,4,6,7,2,8,3,5]=>0110000=>48
[1,4,6,7,8,2,3,5]=>0100000=>32
[4,1,6,2,8,3,5,7]=>1110000=>112
[4,6,1,2,8,3,5,7]=>1010000=>80
[4,1,6,8,2,3,5,7]=>1100000=>96
[4,6,1,8,2,3,5,7]=>1100000=>96
[4,6,8,1,2,3,5,7]=>1000000=>64
[4,1,6,2,3,8,5,7]=>1100100=>100
[4,6,1,2,3,8,5,7]=>1000100=>68
[4,1,2,6,3,8,5,7]=>1010100=>84
[1,4,2,6,3,8,5,7]=>0110100=>52
[1,4,6,2,3,8,5,7]=>0100100=>36
[1,4,2,6,8,3,5,7]=>0110000=>48
[1,4,6,2,8,3,5,7]=>0110000=>48
[1,4,6,8,2,3,5,7]=>0100000=>32
[4,1,6,2,3,5,8,7]=>1100001=>97
[4,6,1,2,3,5,8,7]=>1000001=>65
[4,1,2,6,3,5,8,7]=>1010001=>81
[1,4,2,6,3,5,8,7]=>0110001=>49
[1,4,6,2,3,5,8,7]=>0100001=>33
[4,1,2,3,6,5,8,7]=>1000101=>69
[1,4,2,3,6,5,8,7]=>0100101=>37
[1,2,4,6,3,5,8,7]=>0010001=>17
[4,1,2,3,6,8,5,7]=>1000100=>68
[1,2,4,3,6,8,5,7]=>0010100=>20
[1,2,4,6,3,8,5,7]=>0010100=>20
[1,2,4,6,8,3,5,7]=>0010000=>16
[4,1,6,2,3,5,7,8]=>1100000=>96
[4,6,1,2,3,5,7,8]=>1000000=>64
[4,1,2,6,3,5,7,8]=>1010000=>80
[1,4,2,6,3,5,7,8]=>0110000=>48
[1,4,6,2,3,5,7,8]=>0100000=>32
[4,1,2,3,6,5,7,8]=>1000100=>68
[1,4,2,3,6,5,7,8]=>0100100=>36
[1,2,4,6,3,5,7,8]=>0010000=>16
[4,1,2,3,6,7,5,8]=>1000100=>68
[1,4,2,3,6,7,5,8]=>0100100=>36
[1,2,4,6,7,3,5,8]=>0010000=>16
[4,1,2,3,6,7,8,5]=>1000100=>68
[1,4,2,3,6,7,8,5]=>0100100=>36
[1,2,4,6,3,7,8,5]=>0010100=>20
[1,2,4,6,7,3,8,5]=>0010100=>20
[1,2,4,6,7,8,3,5]=>0010000=>16
[4,1,7,2,8,3,5,6]=>1110000=>112
[4,7,1,2,8,3,5,6]=>1010000=>80
[4,1,7,8,2,3,5,6]=>1100000=>96
[4,7,1,8,2,3,5,6]=>1100000=>96
[4,7,8,1,2,3,5,6]=>1000000=>64
[4,1,7,2,3,8,5,6]=>1100100=>100
[4,7,1,2,3,8,5,6]=>1000100=>68
[1,4,2,7,3,8,5,6]=>0110100=>52
[1,4,7,2,3,8,5,6]=>0100100=>36
[4,1,2,7,8,3,5,6]=>1010000=>80
[1,4,2,7,8,3,5,6]=>0110000=>48
[1,4,7,2,8,3,5,6]=>0110000=>48
[1,4,7,8,2,3,5,6]=>0100000=>32
[4,1,7,2,3,5,8,6]=>1100010=>98
[4,7,1,2,3,5,8,6]=>1000010=>66
[4,1,2,7,3,5,8,6]=>1010010=>82
[1,4,2,7,3,5,8,6]=>0110010=>50
[1,4,7,2,3,5,8,6]=>0100010=>34
[4,1,2,3,7,5,8,6]=>1000110=>70
[1,4,2,3,7,5,8,6]=>0100110=>38
[1,2,4,3,7,5,8,6]=>0010110=>22
[1,2,4,7,3,5,8,6]=>0010010=>18
[4,1,2,3,7,8,5,6]=>1000100=>68
[1,4,2,3,7,8,5,6]=>0100100=>36
[1,2,4,3,7,8,5,6]=>0010100=>20
[1,2,4,7,3,8,5,6]=>0010100=>20
[1,2,4,7,8,3,5,6]=>0010000=>16
[4,1,7,2,3,5,6,8]=>1100000=>96
[4,7,1,2,3,5,6,8]=>1000000=>64
[4,1,2,7,3,5,6,8]=>1010000=>80
[1,4,2,7,3,5,6,8]=>0110000=>48
[1,4,7,2,3,5,6,8]=>0100000=>32
[4,1,2,3,7,5,6,8]=>1000100=>68
[1,4,2,3,7,5,6,8]=>0100100=>36
[1,2,4,3,7,5,6,8]=>0010100=>20
[1,2,4,7,3,5,6,8]=>0010000=>16
[4,1,2,3,5,7,6,8]=>1000010=>66
[1,4,2,3,5,7,6,8]=>0100010=>34
[1,2,4,5,7,3,6,8]=>0010000=>16
[4,1,2,3,5,7,8,6]=>1000010=>66
[1,4,2,3,5,7,8,6]=>0100010=>34
[1,2,4,5,7,3,8,6]=>0010010=>18
[1,2,4,5,7,8,3,6]=>0010000=>16
[4,1,8,2,3,5,6,7]=>1100000=>96
[4,8,1,2,3,5,6,7]=>1000000=>64
[4,1,2,8,3,5,6,7]=>1010000=>80
[1,4,2,8,3,5,6,7]=>0110000=>48
[1,4,8,2,3,5,6,7]=>0100000=>32
[4,1,2,3,8,5,6,7]=>1000100=>68
[1,4,2,3,8,5,6,7]=>0100100=>36
[1,2,4,3,8,5,6,7]=>0010100=>20
[1,2,4,8,3,5,6,7]=>0010000=>16
[4,1,2,3,5,8,6,7]=>1000010=>66
[1,4,2,3,5,8,6,7]=>0100010=>34
[1,2,4,3,5,8,6,7]=>0010010=>18
[1,2,4,5,3,8,6,7]=>0010010=>18
[1,2,4,5,8,3,6,7]=>0010000=>16
[4,1,2,3,5,6,8,7]=>1000001=>65
[1,4,2,3,5,6,8,7]=>0100001=>33
[1,2,4,5,6,8,3,7]=>0010000=>16
[1,4,2,3,5,6,7,8]=>0100000=>32
[5,1,6,2,7,3,8,4]=>1111000=>120
[5,6,1,2,7,3,8,4]=>1011000=>88
[5,1,6,7,2,3,8,4]=>1101000=>104
[5,6,1,7,2,3,8,4]=>1101000=>104
[5,6,7,1,2,3,8,4]=>1001000=>72
[5,1,6,2,7,8,3,4]=>1110000=>112
[5,6,1,2,7,8,3,4]=>1010000=>80
[5,1,6,7,2,8,3,4]=>1110000=>112
[5,6,1,7,2,8,3,4]=>1110000=>112
[5,6,7,1,2,8,3,4]=>1010000=>80
[5,1,6,7,8,2,3,4]=>1100000=>96
[5,6,1,7,8,2,3,4]=>1100000=>96
[5,6,7,1,8,2,3,4]=>1100000=>96
[5,1,6,2,7,3,4,8]=>1110000=>112
[5,6,1,2,7,3,4,8]=>1010000=>80
[5,6,1,7,2,3,4,8]=>1100000=>96
[5,1,6,2,3,7,4,8]=>1101000=>104
[5,1,2,6,3,7,4,8]=>1011000=>88
[1,5,2,6,3,7,4,8]=>0111000=>56
[5,1,2,6,7,3,4,8]=>1010000=>80
[1,5,2,6,7,3,4,8]=>0110000=>48
[1,5,6,2,7,3,4,8]=>0110000=>48
[1,5,6,7,2,3,4,8]=>0100000=>32
[5,1,6,2,3,7,8,4]=>1101000=>104
[5,6,1,2,3,7,8,4]=>1001000=>72
[5,1,2,6,3,7,8,4]=>1011000=>88
[1,5,2,6,3,7,8,4]=>0111000=>56
[1,5,6,2,3,7,8,4]=>0101000=>40
[5,1,2,6,7,3,8,4]=>1011000=>88
[1,5,6,7,2,3,8,4]=>0101000=>40
[5,1,2,6,7,8,3,4]=>1010000=>80
[1,5,2,6,7,8,3,4]=>0110000=>48
[1,5,6,2,7,8,3,4]=>0110000=>48
[1,5,6,7,2,8,3,4]=>0110000=>48
[1,5,6,7,8,2,3,4]=>0100000=>32
[5,1,6,2,8,3,4,7]=>1110000=>112
[5,6,1,2,8,3,4,7]=>1010000=>80
[5,6,1,8,2,3,4,7]=>1100000=>96
[5,6,8,1,2,3,4,7]=>1000000=>64
[5,1,6,2,3,8,4,7]=>1101000=>104
[5,6,1,2,3,8,4,7]=>1001000=>72
[5,1,2,6,3,8,4,7]=>1011000=>88
[1,5,2,6,3,8,4,7]=>0111000=>56
[1,5,6,2,3,8,4,7]=>0101000=>40
[5,1,2,6,8,3,4,7]=>1010000=>80
[1,5,2,6,8,3,4,7]=>0110000=>48
[1,5,6,2,8,3,4,7]=>0110000=>48
[1,5,6,8,2,3,4,7]=>0100000=>32
[5,1,6,2,3,4,8,7]=>1100001=>97
[5,6,1,2,3,4,8,7]=>1000001=>65
[5,1,2,6,3,4,8,7]=>1010001=>81
[1,5,2,6,3,4,8,7]=>0110001=>49
[1,5,6,2,3,4,8,7]=>0100001=>33
[1,5,2,3,6,4,8,7]=>0101001=>41
[1,2,5,3,6,4,8,7]=>0011001=>25
[1,2,5,6,3,4,8,7]=>0010001=>17
[5,1,2,3,6,8,4,7]=>1001000=>72
[1,5,2,3,6,8,4,7]=>0101000=>40
[1,2,5,6,3,8,4,7]=>0011000=>24
[1,2,5,6,8,3,4,7]=>0010000=>16
[5,1,6,2,3,4,7,8]=>1100000=>96
[5,1,2,6,3,4,7,8]=>1010000=>80
[1,5,2,6,3,4,7,8]=>0110000=>48
[1,5,6,2,3,4,7,8]=>0100000=>32
[5,1,2,3,6,4,7,8]=>1001000=>72
[1,5,2,3,6,4,7,8]=>0101000=>40
[1,2,5,3,6,4,7,8]=>0011000=>24
[1,2,5,6,3,4,7,8]=>0010000=>16
[5,1,2,3,6,7,4,8]=>1001000=>72
[1,5,2,3,6,7,4,8]=>0101000=>40
[1,2,5,3,6,7,4,8]=>0011000=>24
[1,2,5,6,3,7,4,8]=>0011000=>24
[5,1,2,3,6,7,8,4]=>1001000=>72
[1,5,2,3,6,7,8,4]=>0101000=>40
[1,2,5,3,6,7,8,4]=>0011000=>24
[1,2,5,6,3,7,8,4]=>0011000=>24
[1,2,5,6,7,3,8,4]=>0011000=>24
[1,2,5,6,7,8,3,4]=>0010000=>16
[5,1,7,2,8,3,4,6]=>1110000=>112
[5,7,1,2,8,3,4,6]=>1010000=>80
[5,1,7,8,2,3,4,6]=>1100000=>96
[5,7,1,8,2,3,4,6]=>1100000=>96
[5,7,8,1,2,3,4,6]=>1000000=>64
[5,1,7,2,3,8,4,6]=>1101000=>104
[5,7,1,2,3,8,4,6]=>1001000=>72
[5,1,2,7,3,8,4,6]=>1011000=>88
[1,5,2,7,3,8,4,6]=>0111000=>56
[1,5,7,2,3,8,4,6]=>0101000=>40
[5,1,2,7,8,3,4,6]=>1010000=>80
[1,5,2,7,8,3,4,6]=>0110000=>48
[1,5,7,2,8,3,4,6]=>0110000=>48
[1,5,7,8,2,3,4,6]=>0100000=>32
[5,1,7,2,3,4,8,6]=>1100010=>98
[5,7,1,2,3,4,8,6]=>1000010=>66
[5,1,2,7,3,4,8,6]=>1010010=>82
[1,5,2,7,3,4,8,6]=>0110010=>50
[1,5,7,2,3,4,8,6]=>0100010=>34
[5,1,2,3,7,4,8,6]=>1001010=>74
[1,5,2,3,7,4,8,6]=>0101010=>42
[1,2,5,3,7,4,8,6]=>0011010=>26
[1,2,5,7,3,4,8,6]=>0010010=>18
[5,1,2,3,7,8,4,6]=>1001000=>72
[1,5,2,3,7,8,4,6]=>0101000=>40
[1,2,5,3,7,8,4,6]=>0011000=>24
[1,2,5,7,3,8,4,6]=>0011000=>24
[1,2,5,7,8,3,4,6]=>0010000=>16
[5,1,7,2,3,4,6,8]=>1100000=>96
[5,7,1,2,3,4,6,8]=>1000000=>64
[5,1,2,7,3,4,6,8]=>1010000=>80
[1,5,2,7,3,4,6,8]=>0110000=>48
[1,5,7,2,3,4,6,8]=>0100000=>32
[5,1,2,3,7,4,6,8]=>1001000=>72
[1,5,2,3,7,4,6,8]=>0101000=>40
[1,2,5,3,7,4,6,8]=>0011000=>24
[1,2,5,7,3,4,6,8]=>0010000=>16
[1,5,2,3,4,7,6,8]=>0100010=>34
[1,2,5,3,4,7,6,8]=>0010010=>18
[1,2,3,5,7,4,6,8]=>0001000=>8
[5,1,2,3,4,7,8,6]=>1000010=>66
[1,5,2,3,4,7,8,6]=>0100010=>34
[1,2,5,3,4,7,8,6]=>0010010=>18
[1,2,3,5,7,4,8,6]=>0001010=>10
[1,2,3,5,7,8,4,6]=>0001000=>8
[5,1,8,2,3,4,6,7]=>1100000=>96
[5,8,1,2,3,4,6,7]=>1000000=>64
[5,1,2,8,3,4,6,7]=>1010000=>80
[1,5,2,8,3,4,6,7]=>0110000=>48
[1,5,8,2,3,4,6,7]=>0100000=>32
[5,1,2,3,8,4,6,7]=>1001000=>72
[1,5,2,3,8,4,6,7]=>0101000=>40
[1,2,5,3,8,4,6,7]=>0011000=>24
[1,2,5,8,3,4,6,7]=>0010000=>16
[5,1,2,3,4,8,6,7]=>1000010=>66
[1,5,2,3,4,8,6,7]=>0100010=>34
[1,2,5,3,4,8,6,7]=>0010010=>18
[1,2,3,5,4,8,6,7]=>0001010=>10
[1,2,3,5,8,4,6,7]=>0001000=>8
[5,1,2,3,4,6,8,7]=>1000001=>65
[1,5,2,3,4,6,8,7]=>0100001=>33
[1,2,5,3,4,6,8,7]=>0010001=>17
[1,2,3,5,6,8,4,7]=>0001000=>8
[1,5,2,3,4,6,7,8]=>0100000=>32
[1,2,5,3,4,6,7,8]=>0010000=>16
[6,1,7,2,8,3,4,5]=>1110000=>112
[6,7,1,2,8,3,4,5]=>1010000=>80
[6,1,7,8,2,3,4,5]=>1100000=>96
[6,7,1,8,2,3,4,5]=>1100000=>96
[6,1,7,2,3,8,4,5]=>1101000=>104
[6,7,1,2,3,8,4,5]=>1001000=>72
[6,1,2,7,3,8,4,5]=>1011000=>88
[1,6,2,7,3,8,4,5]=>0111000=>56
[1,6,7,2,3,8,4,5]=>0101000=>40
[6,1,2,7,8,3,4,5]=>1010000=>80
[1,6,2,7,8,3,4,5]=>0110000=>48
[1,6,7,2,8,3,4,5]=>0110000=>48
[1,6,7,8,2,3,4,5]=>0100000=>32
[6,1,7,2,3,4,8,5]=>1100100=>100
[6,7,1,2,3,4,8,5]=>1000100=>68
[6,1,2,7,3,4,8,5]=>1010100=>84
[1,6,2,7,3,4,8,5]=>0110100=>52
[1,6,7,2,3,4,8,5]=>0100100=>36
[6,1,2,3,7,4,8,5]=>1001100=>76
[1,6,2,3,7,4,8,5]=>0101100=>44
[1,2,6,3,7,4,8,5]=>0011100=>28
[1,2,6,7,3,4,8,5]=>0010100=>20
[6,1,2,3,7,8,4,5]=>1001000=>72
[1,6,2,3,7,8,4,5]=>0101000=>40
[1,2,6,3,7,8,4,5]=>0011000=>24
[1,2,6,7,3,8,4,5]=>0011000=>24
[1,2,6,7,8,3,4,5]=>0010000=>16
[6,1,7,2,3,4,5,8]=>1100000=>96
[6,1,2,7,3,4,5,8]=>1010000=>80
[1,6,2,7,3,4,5,8]=>0110000=>48
[1,6,7,2,3,4,5,8]=>0100000=>32
[6,1,2,3,7,4,5,8]=>1001000=>72
[1,6,2,3,7,4,5,8]=>0101000=>40
[1,2,6,3,7,4,5,8]=>0011000=>24
[1,2,6,7,3,4,5,8]=>0010000=>16
[6,1,2,3,4,7,5,8]=>1000100=>68
[1,6,2,3,4,7,5,8]=>0100100=>36
[1,2,6,3,4,7,5,8]=>0010100=>20
[1,2,3,6,4,7,5,8]=>0001100=>12
[1,2,3,6,7,4,5,8]=>0001000=>8
[6,1,2,3,4,7,8,5]=>1000100=>68
[1,6,2,3,4,7,8,5]=>0100100=>36
[1,2,6,3,4,7,8,5]=>0010100=>20
[1,2,3,6,4,7,8,5]=>0001100=>12
[1,2,3,6,7,4,8,5]=>0001100=>12
[1,2,3,6,7,8,4,5]=>0001000=>8
[6,1,8,2,3,4,5,7]=>1100000=>96
[6,8,1,2,3,4,5,7]=>1000000=>64
[6,1,2,8,3,4,5,7]=>1010000=>80
[1,6,2,8,3,4,5,7]=>0110000=>48
[1,6,8,2,3,4,5,7]=>0100000=>32
[6,1,2,3,8,4,5,7]=>1001000=>72
[1,6,2,3,8,4,5,7]=>0101000=>40
[1,2,6,3,8,4,5,7]=>0011000=>24
[1,2,6,8,3,4,5,7]=>0010000=>16
[6,1,2,3,4,8,5,7]=>1000100=>68
[1,6,2,3,4,8,5,7]=>0100100=>36
[1,2,6,3,4,8,5,7]=>0010100=>20
[1,2,3,6,4,8,5,7]=>0001100=>12
[1,2,3,6,8,4,5,7]=>0001000=>8
[6,1,2,3,4,5,8,7]=>1000001=>65
[1,6,2,3,4,5,8,7]=>0100001=>33
[1,2,6,3,4,5,8,7]=>0010001=>17
[1,2,3,6,4,5,8,7]=>0001001=>9
[1,2,3,4,6,8,5,7]=>0000100=>4
[1,6,2,3,4,5,7,8]=>0100000=>32
[1,2,6,3,4,5,7,8]=>0010000=>16
[1,2,3,6,4,5,7,8]=>0001000=>8
[7,1,8,2,3,4,5,6]=>1100000=>96
[7,1,2,8,3,4,5,6]=>1010000=>80
[1,7,2,8,3,4,5,6]=>0110000=>48
[1,7,8,2,3,4,5,6]=>0100000=>32
[7,1,2,3,8,4,5,6]=>1001000=>72
[1,7,2,3,8,4,5,6]=>0101000=>40
[1,2,7,3,8,4,5,6]=>0011000=>24
[1,2,7,8,3,4,5,6]=>0010000=>16
[7,1,2,3,4,8,5,6]=>1000100=>68
[1,7,2,3,4,8,5,6]=>0100100=>36
[1,2,7,3,4,8,5,6]=>0010100=>20
[1,2,3,7,4,8,5,6]=>0001100=>12
[1,2,3,7,8,4,5,6]=>0001000=>8
[7,1,2,3,4,5,8,6]=>1000010=>66
[1,7,2,3,4,5,8,6]=>0100010=>34
[1,2,7,3,4,5,8,6]=>0010010=>18
[1,2,3,7,4,5,8,6]=>0001010=>10
[1,2,3,4,7,5,8,6]=>0000110=>6
[1,2,3,4,7,8,5,6]=>0000100=>4
[1,7,2,3,4,5,6,8]=>0100000=>32
[1,2,7,3,4,5,6,8]=>0010000=>16
[1,2,3,7,4,5,6,8]=>0001000=>8
[1,2,3,4,7,5,6,8]=>0000100=>4
[1,8,2,3,4,5,6,7]=>0100000=>32
[1,2,8,3,4,5,6,7]=>0010000=>16
[1,2,3,8,4,5,6,7]=>0001000=>8
[1,2,3,4,8,5,6,7]=>0000100=>4
[1,2,3,4,5,8,6,7]=>0000010=>2
[5,3,2,6,1,4,8,7]=>1110001=>113
[7,3,2,5,4,8,1,6]=>1111000=>120
[8,4,5,2,3,7,6,1]=>1101010=>106
[7,4,5,2,3,8,1,6]=>1101000=>104
[6,4,5,2,3,1,8,7]=>1101001=>105
[5,4,6,2,1,3,8,7]=>1101001=>105
[3,6,1,5,4,2,8,7]=>1101001=>105
[4,6,5,1,3,2,8,7]=>1100101=>101
[5,6,4,3,1,2,8,7]=>1011001=>89
[7,5,4,3,2,8,1,6]=>1111100=>124
[8,6,4,3,7,2,5,1]=>1111010=>122
[7,6,4,3,8,2,1,5]=>1111010=>122
[6,7,4,3,8,1,2,5]=>1011000=>88
[5,7,4,3,1,8,2,6]=>1111000=>120
[4,7,5,1,3,8,2,6]=>1100100=>100
[3,7,1,5,4,8,2,6]=>1101000=>104
[2,1,7,5,4,8,3,6]=>1011100=>92
[3,8,1,5,4,7,6,2]=>1101010=>106
[4,8,5,1,3,7,6,2]=>1100110=>102
[5,8,4,3,1,7,6,2]=>1111010=>122
[6,8,4,3,7,1,5,2]=>1111000=>120
[7,8,4,3,6,5,1,2]=>1011100=>92
[6,8,5,7,3,1,4,2]=>1110100=>116
[5,8,6,7,1,3,4,2]=>1100010=>98
[4,8,6,1,7,3,5,2]=>1110010=>114
[3,8,1,6,7,4,5,2]=>1101000=>104
[2,1,8,6,7,4,5,3]=>1011010=>90
[2,1,7,6,8,4,3,5]=>1011010=>90
[3,7,1,6,8,4,2,5]=>1101000=>104
[4,7,6,1,8,3,2,5]=>1110010=>114
[5,7,6,8,1,3,2,4]=>1100010=>98
[5,4,7,2,1,8,3,6]=>1111000=>120
[6,4,7,2,8,1,3,5]=>1101000=>104
[7,4,6,2,8,3,1,5]=>1111000=>120
[8,4,6,2,7,3,5,1]=>1111000=>120
[8,3,2,6,7,4,5,1]=>1111000=>120
[7,3,2,6,8,4,1,5]=>1111000=>120
[6,3,2,7,8,1,4,5]=>1110000=>112
[5,3,2,7,1,8,4,6]=>1111000=>120
[4,3,2,1,7,8,5,6]=>1110100=>116
[3,4,1,2,8,7,6,5]=>1000111=>71
[5,3,2,8,1,7,6,4]=>1111010=>122
[6,3,2,8,7,1,5,4]=>1111001=>121
[7,3,2,8,6,5,1,4]=>1110110=>118
[8,4,7,2,6,5,3,1]=>1111100=>124
[7,4,8,2,6,5,1,3]=>1101100=>108
[6,4,8,2,7,1,5,3]=>1111000=>120
[5,4,8,2,1,7,6,3]=>1111010=>122
[4,5,8,1,2,7,6,3]=>1010010=>82
[3,5,1,8,2,7,6,4]=>1101010=>106
[2,1,5,8,3,7,6,4]=>1011010=>90
[2,1,6,8,7,3,5,4]=>1011001=>89
[3,6,1,8,7,2,5,4]=>1101001=>105
[4,6,8,1,7,2,5,3]=>1110000=>112
[5,6,8,7,1,2,4,3]=>1010001=>81
[6,5,8,7,2,1,4,3]=>1110101=>117
[7,5,8,6,2,4,1,3]=>1100110=>102
[8,5,7,6,2,4,3,1]=>1110110=>118
[5,7,8,6,1,4,2,3]=>1100010=>98
[4,7,8,1,6,5,2,3]=>1100100=>100
[3,7,1,8,6,5,2,4]=>1100110=>102
[2,1,7,8,6,5,3,4]=>1010110=>86
[3,8,1,7,6,5,4,2]=>1101110=>110
[4,8,7,1,6,5,3,2]=>1110101=>117
[5,8,7,6,1,4,3,2]=>1110011=>115
[6,8,7,5,4,1,3,2]=>1101101=>109
[2,1,4,3,6,5,8,7,10,9]=>101010101=>341
[3,4,1,2,6,5,8,7,10,9]=>100010101=>277
[4,3,2,1,6,5,8,7,10,9]=>111010101=>469
[6,3,2,5,4,1,8,7,10,9]=>111100101=>485
[8,3,2,5,4,7,6,1,10,9]=>111101001=>489
[10,3,2,5,4,7,6,9,8,1]=>111101010=>490
[4,5,6,1,2,3,8,7,10,9]=>100000101=>261
[3,5,1,6,2,4,8,7,10,9]=>110000101=>389
[2,1,5,6,3,4,8,7,10,9]=>101000101=>325
[2,1,6,5,4,3,8,7,10,9]=>101110101=>373
[6,5,4,3,2,1,8,7,10,9]=>111110101=>501
[8,5,4,3,2,7,6,1,10,9]=>111111001=>505
[10,5,4,3,2,7,6,9,8,1]=>111111010=>506
[2,1,8,5,4,7,6,3,10,9]=>101111001=>377
[8,7,4,3,6,5,2,1,10,9]=>111110101=>501
[10,7,4,3,6,5,2,9,8,1]=>111110110=>502
[2,1,10,5,4,7,6,9,8,3]=>101111010=>378
[10,9,4,3,6,5,8,7,2,1]=>111110101=>501
[8,9,5,6,3,4,10,1,2,7]=>101010000=>336
[5,6,7,8,1,2,3,4,10,9]=>100000001=>257
[4,6,7,1,8,2,3,5,10,9]=>110000001=>385
[3,6,1,7,8,2,4,5,10,9]=>110000001=>385
[2,1,6,7,8,3,4,5,10,9]=>101000001=>321
[2,1,5,7,3,8,4,6,10,9]=>101100001=>353
[3,5,1,7,2,8,4,6,10,9]=>110100001=>417
[4,5,7,1,2,8,3,6,10,9]=>101000001=>321
[3,4,1,2,7,8,5,6,10,9]=>100010001=>273
[2,1,4,3,7,8,5,6,10,9]=>101010001=>337
[2,1,4,3,8,7,6,5,10,9]=>101011101=>349
[4,3,2,1,8,7,6,5,10,9]=>111011101=>477
[8,3,2,7,6,5,4,1,10,9]=>111111001=>505
[10,3,2,7,6,5,4,9,8,1]=>111111010=>506
[2,1,8,7,6,5,4,3,10,9]=>101111101=>381
[8,7,6,5,4,3,2,1,10,9]=>111111101=>509
[9,7,6,5,4,3,2,10,1,8]=>111111100=>508
[10,7,6,5,4,3,2,9,8,1]=>111111110=>510
[2,1,10,7,6,5,4,9,8,3]=>101111110=>382
[10,9,6,5,4,3,8,7,2,1]=>111111101=>509
[2,1,4,3,10,7,6,9,8,5]=>101011110=>350
[4,3,2,1,10,7,6,9,8,5]=>111011110=>478
[10,3,2,9,6,5,8,7,4,1]=>111111100=>508
[2,1,10,9,6,5,8,7,4,3]=>101111101=>381
[10,9,8,5,4,7,6,3,2,1]=>111111011=>507
[10,8,9,6,7,4,5,2,3,1]=>110101010=>426
[2,1,7,8,9,10,3,4,5,6]=>101000000=>320
[3,7,1,8,9,10,2,4,5,6]=>110000000=>384
[4,7,8,1,9,10,2,3,5,6]=>110000000=>384
[5,7,8,9,1,10,2,3,4,6]=>110000000=>384
[6,7,8,9,10,1,2,3,4,5]=>100000000=>256
[5,6,8,9,1,2,10,3,4,7]=>101000000=>320
[4,6,8,1,9,2,10,3,5,7]=>111000000=>448
[3,6,1,8,9,2,10,4,5,7]=>110100000=>416
[2,1,6,8,9,3,10,4,5,7]=>101100000=>352
[2,1,5,8,3,9,10,4,6,7]=>101100000=>352
[3,5,1,8,2,9,10,4,6,7]=>110100000=>416
[4,5,8,1,2,9,10,3,6,7]=>101000000=>320
[7,3,2,8,9,10,1,4,5,6]=>111000000=>448
[3,4,1,2,8,9,10,5,6,7]=>100010000=>272
[2,1,4,3,8,9,10,5,6,7]=>101010000=>336
[2,1,4,3,7,9,5,10,6,8]=>101011000=>344
[3,4,1,2,7,9,5,10,6,8]=>100011000=>280
[4,5,7,1,2,9,3,10,6,8]=>101001000=>328
[3,5,1,7,2,9,4,10,6,8]=>110101000=>424
[2,1,5,7,3,9,4,10,6,8]=>101101000=>360
[2,1,6,7,9,3,4,10,5,8]=>101010000=>336
[3,6,1,7,9,2,4,10,5,8]=>110010000=>400
[4,6,7,1,9,2,3,10,5,8]=>110010000=>400
[5,6,7,9,1,2,3,10,4,8]=>100100000=>288
[8,5,4,3,2,9,10,1,6,7]=>111110000=>496
[2,1,5,6,3,4,9,10,7,8]=>101000100=>324
[3,5,1,6,2,4,9,10,7,8]=>110000100=>388
[4,5,6,1,2,3,9,10,7,8]=>100000100=>260
[3,4,1,2,6,5,9,10,7,8]=>100010100=>276
[2,1,4,3,6,5,9,10,7,8]=>101010100=>340
[2,1,4,3,6,5,10,9,8,7]=>101010111=>343
[4,3,2,1,6,5,10,9,8,7]=>111010111=>471
[6,3,2,5,4,1,10,9,8,7]=>111100111=>487
[10,3,2,5,4,9,8,7,6,1]=>111101110=>494
[2,1,6,5,4,3,10,9,8,7]=>101110111=>375
[6,5,4,3,2,1,10,9,8,7]=>111110111=>503
[10,5,4,3,2,9,8,7,6,1]=>111111110=>510
[2,1,10,5,4,9,8,7,6,3]=>101111110=>382
[10,9,4,3,8,7,6,5,2,1]=>111111101=>509
[9,7,5,10,3,8,2,6,1,4]=>111010100=>468
[2,1,4,3,10,9,8,7,6,5]=>101011111=>351
[4,3,2,1,10,9,8,7,6,5]=>111011111=>479
[10,3,2,9,8,7,6,5,4,1]=>111111110=>510
[2,1,10,9,8,7,6,5,4,3]=>101111111=>383
[9,10,8,7,6,5,4,3,1,2]=>101111110=>382
[10,9,8,7,6,5,4,3,2,1]=>111111111=>511
[3,2,5,1,4,6,7,8]=>1100000=>96
[4,2,5,1,3,6,7,8]=>1100000=>96
[5,2,4,1,3,6,7,8]=>1100000=>96
[3,2,6,1,4,5,7,8]=>1100000=>96
[4,2,6,1,3,5,7,8]=>1100000=>96
[5,3,6,1,2,4,7,8]=>1010000=>80
[6,2,4,1,3,5,7,8]=>1100000=>96
[6,3,5,1,2,4,7,8]=>1010000=>80
[5,2,7,1,3,4,6,8]=>1100000=>96
[5,3,7,1,2,4,6,8]=>1010000=>80
[5,4,7,1,2,3,6,8]=>1001000=>72
[6,2,7,1,3,4,5,8]=>1100000=>96
[6,3,7,1,2,4,5,8]=>1010000=>80
[6,4,7,1,2,3,5,8]=>1001000=>72
[7,3,5,1,2,4,6,8]=>1010000=>80
[7,3,6,1,2,4,5,8]=>1010000=>80
[7,4,6,1,2,3,5,8]=>1001000=>72
[3,2,8,1,4,5,6,7]=>1100000=>96
[4,2,8,1,3,5,6,7]=>1100000=>96
[5,2,8,1,3,4,6,7]=>1100000=>96
[5,4,8,1,2,3,6,7]=>1001000=>72
[6,2,8,1,3,4,5,7]=>1100000=>96
[6,3,8,1,2,4,5,7]=>1010000=>80
[6,4,8,1,2,3,5,7]=>1001000=>72
[6,5,8,1,2,3,4,7]=>1000100=>68
[7,2,8,1,3,4,5,6]=>1100000=>96
[7,3,8,1,2,4,5,6]=>1010000=>80
[7,4,8,1,2,3,5,6]=>1001000=>72
[7,5,8,1,2,3,4,6]=>1000100=>68
[8,2,4,1,3,5,6,7]=>1100000=>96
[8,3,5,1,2,4,6,7]=>1010000=>80
[8,3,6,1,2,4,5,7]=>1010000=>80
[8,3,7,1,2,4,5,6]=>1010000=>80
[8,4,7,1,2,3,5,6]=>1001000=>72
[8,5,7,1,2,3,4,6]=>1000100=>68
[3,2,5,7,1,4,6,8]=>1100000=>96
[4,2,5,7,1,3,6,8]=>1100000=>96
[4,3,5,7,1,2,6,8]=>1010000=>80
[5,2,4,7,1,3,6,8]=>1100000=>96
[5,3,4,7,1,2,6,8]=>1010000=>80
[4,2,6,7,1,3,5,8]=>1100000=>96
[5,2,6,7,1,3,4,8]=>1100000=>96
[5,3,6,7,1,2,4,8]=>1010000=>80
[6,2,5,7,1,3,4,8]=>1100000=>96
[6,3,5,7,1,2,4,8]=>1010000=>80
[7,2,4,6,1,3,5,8]=>1100000=>96
[7,3,4,6,1,2,5,8]=>1010000=>80
[7,3,5,6,1,2,4,8]=>1010000=>80
[3,2,5,8,1,4,6,7]=>1100000=>96
[4,2,5,8,1,3,6,7]=>1100000=>96
[4,3,5,8,1,2,6,7]=>1010000=>80
[5,2,4,8,1,3,6,7]=>1100000=>96
[3,2,6,8,1,4,5,7]=>1100000=>96
[4,2,6,8,1,3,5,7]=>1100000=>96
[4,3,6,8,1,2,5,7]=>1010000=>80
[5,2,6,8,1,3,4,7]=>1100000=>96
[6,2,4,8,1,3,5,7]=>1100000=>96
[6,2,5,8,1,3,4,7]=>1100000=>96
[6,3,5,8,1,2,4,7]=>1010000=>80
[6,4,5,8,1,2,3,7]=>1001000=>72
[3,2,7,8,1,4,5,6]=>1100000=>96
[4,3,7,8,1,2,5,6]=>1010000=>80
[5,3,7,8,1,2,4,6]=>1010000=>80
[5,4,7,8,1,2,3,6]=>1001000=>72
[6,2,7,8,1,3,4,5]=>1100000=>96
[6,3,7,8,1,2,4,5]=>1010000=>80
[6,4,7,8,1,2,3,5]=>1001000=>72
[7,2,4,8,1,3,5,6]=>1100000=>96
[7,3,4,8,1,2,5,6]=>1010000=>80
[7,3,5,8,1,2,4,6]=>1010000=>80
[7,4,5,8,1,2,3,6]=>1001000=>72
[7,4,6,8,1,2,3,5]=>1001000=>72
[8,2,4,6,1,3,5,7]=>1100000=>96
[8,3,4,6,1,2,5,7]=>1010000=>80
[8,2,5,6,1,3,4,7]=>1100000=>96
[8,3,5,6,1,2,4,7]=>1010000=>80
[8,2,4,7,1,3,5,6]=>1100000=>96
[8,2,5,7,1,3,4,6]=>1100000=>96
[8,3,5,7,1,2,4,6]=>1010000=>80
[8,2,6,7,1,3,4,5]=>1100000=>96
[8,4,6,7,1,2,3,5]=>1001000=>72
[3,6,2,5,1,4,7,8]=>1100000=>96
[4,6,2,5,1,3,7,8]=>1100000=>96
[4,6,3,5,1,2,7,8]=>1010000=>80
[5,6,2,4,1,3,7,8]=>1100000=>96
[3,7,2,5,1,4,6,8]=>1100000=>96
[4,7,3,5,1,2,6,8]=>1010000=>80
[5,7,2,4,1,3,6,8]=>1100000=>96
[5,7,3,4,1,2,6,8]=>1010000=>80
[3,7,2,6,1,4,5,8]=>1100000=>96
[4,7,3,6,1,2,5,8]=>1010000=>80
[5,7,2,6,1,3,4,8]=>1100000=>96
[5,7,3,6,1,2,4,8]=>1010000=>80
[6,7,2,5,1,3,4,8]=>1100000=>96
[4,8,2,5,1,3,6,7]=>1100000=>96
[5,8,3,4,1,2,6,7]=>1010000=>80
[3,8,2,6,1,4,5,7]=>1100000=>96
[4,8,2,6,1,3,5,7]=>1100000=>96
[5,8,3,6,1,2,4,7]=>1010000=>80
[5,8,4,6,1,2,3,7]=>1001000=>72
[6,8,2,4,1,3,5,7]=>1100000=>96
[6,8,3,4,1,2,5,7]=>1010000=>80
[6,8,3,5,1,2,4,7]=>1010000=>80
[6,8,4,5,1,2,3,7]=>1001000=>72
[3,8,2,7,1,4,5,6]=>1100000=>96
[4,8,2,7,1,3,5,6]=>1100000=>96
[4,8,3,7,1,2,5,6]=>1010000=>80
[5,8,2,7,1,3,4,6]=>1100000=>96
[5,8,3,7,1,2,4,6]=>1010000=>80
[5,8,4,7,1,2,3,6]=>1001000=>72
[6,8,2,7,1,3,4,5]=>1100000=>96
[6,8,3,7,1,2,4,5]=>1010000=>80
[6,8,5,7,1,2,3,4]=>1000100=>68
[7,8,2,4,1,3,5,6]=>1100000=>96
[7,8,2,5,1,3,4,6]=>1100000=>96
[7,8,3,5,1,2,4,6]=>1010000=>80
[7,8,4,6,1,2,3,5]=>1001000=>72
[4,3,2,6,1,5,7,8]=>1110000=>112
[5,3,2,6,1,4,7,8]=>1110000=>112
[5,4,2,6,1,3,7,8]=>1101000=>104
[6,3,2,5,1,4,7,8]=>1110000=>112
[6,4,2,5,1,3,7,8]=>1101000=>104
[6,5,2,4,1,3,7,8]=>1100100=>100
[4,3,2,7,1,5,6,8]=>1110000=>112
[5,3,2,7,1,4,6,8]=>1110000=>112
[5,4,3,7,1,2,6,8]=>1011000=>88
[6,3,2,7,1,4,5,8]=>1110000=>112
[6,4,2,7,1,3,5,8]=>1101000=>104
[6,4,3,7,1,2,5,8]=>1011000=>88
[6,5,2,7,1,3,4,8]=>1100100=>100
[6,5,3,7,1,2,4,8]=>1010100=>84
[7,3,2,5,1,4,6,8]=>1110000=>112
[7,4,2,5,1,3,6,8]=>1101000=>104
[7,3,2,6,1,4,5,8]=>1110000=>112
[7,4,2,6,1,3,5,8]=>1101000=>104
[7,4,3,6,1,2,5,8]=>1011000=>88
[7,5,2,6,1,3,4,8]=>1100100=>100
[7,5,3,6,1,2,4,8]=>1010100=>84
[7,6,3,5,1,2,4,8]=>1010010=>82
[4,3,2,8,1,5,6,7]=>1110000=>112
[5,3,2,8,1,4,6,7]=>1110000=>112
[5,4,3,8,1,2,6,7]=>1011000=>88
[6,3,2,8,1,4,5,7]=>1110000=>112
[6,4,2,8,1,3,5,7]=>1101000=>104
[6,4,3,8,1,2,5,7]=>1011000=>88
[6,5,2,8,1,3,4,7]=>1100100=>100
[6,5,3,8,1,2,4,7]=>1010100=>84
[6,5,4,8,1,2,3,7]=>1001100=>76
[7,3,2,8,1,4,5,6]=>1110000=>112
[7,4,2,8,1,3,5,6]=>1101000=>104
[7,4,3,8,1,2,5,6]=>1011000=>88
[7,5,3,8,1,2,4,6]=>1010100=>84
[7,5,4,8,1,2,3,6]=>1001100=>76
[7,6,2,8,1,3,4,5]=>1100010=>98
[8,3,2,5,1,4,6,7]=>1110000=>112
[8,4,2,5,1,3,6,7]=>1101000=>104
[8,3,2,6,1,4,5,7]=>1110000=>112
[8,4,2,6,1,3,5,7]=>1101000=>104
[8,5,3,6,1,2,4,7]=>1010100=>84
[8,6,2,4,1,3,5,7]=>1100010=>98
[8,6,2,5,1,3,4,7]=>1100010=>98
[8,3,2,7,1,4,5,6]=>1110000=>112
[8,4,2,7,1,3,5,6]=>1101000=>104
[8,4,3,7,1,2,5,6]=>1011000=>88
[8,5,2,7,1,3,4,6]=>1100100=>100
[8,5,3,7,1,2,4,6]=>1010100=>84
[8,5,4,7,1,2,3,6]=>1001100=>76
[8,6,3,7,1,2,4,5]=>1010010=>82
[8,7,2,4,1,3,5,6]=>1100001=>97
[8,7,2,5,1,3,4,6]=>1100001=>97
[8,7,3,5,1,2,4,6]=>1010001=>81
[8,7,2,6,1,3,4,5]=>1100001=>97
[8,7,3,6,1,2,4,5]=>1010001=>81
[8,7,4,6,1,2,3,5]=>1001001=>73
[3,6,2,5,8,1,4,7]=>1100000=>96
[4,6,3,5,8,1,2,7]=>1010000=>80
[5,6,2,4,8,1,3,7]=>1100000=>96
[4,7,2,5,8,1,3,6]=>1100000=>96
[4,7,3,5,8,1,2,6]=>1010000=>80
[5,7,2,4,8,1,3,6]=>1100000=>96
[5,7,3,4,8,1,2,6]=>1010000=>80
[3,7,2,6,8,1,4,5]=>1100000=>96
[4,7,3,6,8,1,2,5]=>1010000=>80
[5,7,2,6,8,1,3,4]=>1100000=>96
[5,7,4,6,8,1,2,3]=>1001000=>72
[6,7,3,4,8,1,2,5]=>1010000=>80
[6,7,3,5,8,1,2,4]=>1010000=>80
[3,8,2,5,7,1,4,6]=>1100000=>96
[4,8,2,5,7,1,3,6]=>1100000=>96
[4,8,3,5,7,1,2,6]=>1010000=>80
[5,8,2,4,7,1,3,6]=>1100000=>96
[3,8,2,6,7,1,4,5]=>1100000=>96
[4,8,3,6,7,1,2,5]=>1010000=>80
[5,8,2,6,7,1,3,4]=>1100000=>96
[5,8,3,6,7,1,2,4]=>1010000=>80
[5,8,4,6,7,1,2,3]=>1001000=>72
[6,8,2,5,7,1,3,4]=>1100000=>96
[6,8,3,5,7,1,2,4]=>1010000=>80
[6,8,4,5,7,1,2,3]=>1001000=>72
[7,8,2,4,6,1,3,5]=>1100000=>96
[7,8,3,4,6,1,2,5]=>1010000=>80
[7,8,2,5,6,1,3,4]=>1100000=>96
[7,8,3,5,6,1,2,4]=>1010000=>80
[4,3,2,6,8,1,5,7]=>1110000=>112
[5,3,2,6,8,1,4,7]=>1110000=>112
[5,4,2,6,8,1,3,7]=>1101000=>104
[5,4,3,6,8,1,2,7]=>1011000=>88
[6,3,2,5,8,1,4,7]=>1110000=>112
[6,4,3,5,8,1,2,7]=>1011000=>88
[6,5,2,4,8,1,3,7]=>1100100=>100
[4,3,2,7,8,1,5,6]=>1110000=>112
[5,3,2,7,8,1,4,6]=>1110000=>112
[5,4,2,7,8,1,3,6]=>1101000=>104
[5,4,3,7,8,1,2,6]=>1011000=>88
[6,4,2,7,8,1,3,5]=>1101000=>104
[6,4,3,7,8,1,2,5]=>1011000=>88
[6,5,2,7,8,1,3,4]=>1100100=>100
[7,4,2,5,8,1,3,6]=>1101000=>104
[7,4,3,5,8,1,2,6]=>1011000=>88
[7,5,3,4,8,1,2,6]=>1010100=>84
[7,3,2,6,8,1,4,5]=>1110000=>112
[7,5,2,6,8,1,3,4]=>1100100=>100
[7,5,3,6,8,1,2,4]=>1010100=>84
[7,6,2,4,8,1,3,5]=>1100010=>98
[7,6,3,5,8,1,2,4]=>1010010=>82
[8,3,2,5,7,1,4,6]=>1110000=>112
[8,4,2,5,7,1,3,6]=>1101000=>104
[8,5,2,4,7,1,3,6]=>1100100=>100
[8,3,2,6,7,1,4,5]=>1110000=>112
[8,4,2,6,7,1,3,5]=>1101000=>104
[8,5,2,6,7,1,3,4]=>1100100=>100
[8,5,3,6,7,1,2,4]=>1010100=>84
[8,6,2,4,7,1,3,5]=>1100010=>98
[8,6,2,5,7,1,3,4]=>1100010=>98
[8,6,3,5,7,1,2,4]=>1010010=>82
[8,7,2,4,6,1,3,5]=>1100001=>97
[8,7,3,4,6,1,2,5]=>1010001=>81
[8,7,2,5,6,1,3,4]=>1100001=>97
[8,7,3,5,6,1,2,4]=>1010001=>81
[4,3,7,2,6,1,5,8]=>1110000=>112
[5,3,7,2,6,1,4,8]=>1110000=>112
[5,4,7,2,6,1,3,8]=>1101000=>104
[6,3,7,2,5,1,4,8]=>1110000=>112
[6,4,7,2,5,1,3,8]=>1101000=>104
[6,4,7,3,5,1,2,8]=>1011000=>88
[7,3,6,2,5,1,4,8]=>1110000=>112
[4,3,8,2,6,1,5,7]=>1110000=>112
[5,3,8,2,6,1,4,7]=>1110000=>112
[5,4,8,2,6,1,3,7]=>1101000=>104
[5,4,8,3,6,1,2,7]=>1011000=>88
[6,3,8,2,5,1,4,7]=>1110000=>112
[6,4,8,2,5,1,3,7]=>1101000=>104
[6,4,8,3,5,1,2,7]=>1011000=>88
[6,5,8,2,4,1,3,7]=>1100100=>100
[6,5,8,3,4,1,2,7]=>1010100=>84
[4,3,8,2,7,1,5,6]=>1110000=>112
[5,3,8,2,7,1,4,6]=>1110000=>112
[5,4,8,2,7,1,3,6]=>1101000=>104
[5,4,8,3,7,1,2,6]=>1011000=>88
[6,3,8,2,7,1,4,5]=>1110000=>112
[6,4,8,2,7,1,3,5]=>1101000=>104
[6,4,8,3,7,1,2,5]=>1011000=>88
[6,5,8,2,7,1,3,4]=>1100100=>100
[7,3,8,2,5,1,4,6]=>1110000=>112
[7,4,8,3,5,1,2,6]=>1011000=>88
[7,5,8,2,4,1,3,6]=>1100100=>100
[7,5,8,3,4,1,2,6]=>1010100=>84
[7,3,8,2,6,1,4,5]=>1110000=>112
[7,4,8,2,6,1,3,5]=>1101000=>104
[7,5,8,2,6,1,3,4]=>1100100=>100
[7,5,8,3,6,1,2,4]=>1010100=>84
[7,5,8,4,6,1,2,3]=>1001100=>76
[7,6,8,2,5,1,3,4]=>1100010=>98
[7,6,8,3,5,1,2,4]=>1010010=>82
[8,3,6,2,5,1,4,7]=>1110000=>112
[8,4,6,2,5,1,3,7]=>1101000=>104
[8,5,6,2,4,1,3,7]=>1100100=>100
[8,3,7,2,5,1,4,6]=>1110000=>112
[8,4,7,3,5,1,2,6]=>1011000=>88
[8,5,7,2,4,1,3,6]=>1100100=>100
[8,3,7,2,6,1,4,5]=>1110000=>112
[8,4,7,2,6,1,3,5]=>1101000=>104
[8,4,7,3,6,1,2,5]=>1011000=>88
[8,5,7,2,6,1,3,4]=>1100100=>100
[8,6,7,2,4,1,3,5]=>1100010=>98
[8,6,7,2,5,1,3,4]=>1100010=>98
[8,6,7,3,5,1,2,4]=>1010010=>82
[5,4,3,2,7,1,6,8]=>1111000=>120
[6,4,3,2,7,1,5,8]=>1111000=>120
[6,5,3,2,7,1,4,8]=>1110100=>116
[6,5,4,2,7,1,3,8]=>1101100=>108
[7,5,3,2,6,1,4,8]=>1110100=>116
[7,5,4,2,6,1,3,8]=>1101100=>108
[7,6,3,2,5,1,4,8]=>1110010=>114
[5,4,3,2,8,1,6,7]=>1111000=>120
[6,5,3,2,8,1,4,7]=>1110100=>116
[6,5,4,2,8,1,3,7]=>1101100=>108
[6,5,4,3,8,1,2,7]=>1011100=>92
[7,5,3,2,8,1,4,6]=>1110100=>116
[7,5,4,2,8,1,3,6]=>1101100=>108
[7,6,3,2,8,1,4,5]=>1110010=>114
[7,6,4,3,8,1,2,5]=>1011010=>90
[7,6,5,2,8,1,3,4]=>1100110=>102
[7,6,5,3,8,1,2,4]=>1010110=>86
[8,5,3,2,6,1,4,7]=>1110100=>116
[8,5,4,2,6,1,3,7]=>1101100=>108
[8,6,4,2,5,1,3,7]=>1101010=>106
[8,6,5,2,4,1,3,7]=>1100110=>102
[8,5,3,2,7,1,4,6]=>1110100=>116
[8,6,3,2,7,1,4,5]=>1110010=>114
[8,6,4,2,7,1,3,5]=>1101010=>106
[8,6,4,3,7,1,2,5]=>1011010=>90
[8,6,5,3,7,1,2,4]=>1010110=>86
[8,7,3,2,6,1,4,5]=>1110001=>113
[8,7,4,2,6,1,3,5]=>1101001=>105
[8,7,4,3,6,1,2,5]=>1011001=>89
[8,7,5,2,6,1,3,4]=>1100101=>101
[8,7,5,3,6,1,2,4]=>1010101=>85
[8,7,6,2,4,1,3,5]=>1100011=>99
[8,7,6,2,5,1,3,4]=>1100011=>99
[8,7,6,3,5,1,2,4]=>1010011=>83
[4,8,3,7,2,6,1,5]=>1110000=>112
[5,8,3,7,2,6,1,4]=>1110000=>112
[5,8,4,7,2,6,1,3]=>1101000=>104
[5,8,4,7,3,6,1,2]=>1011000=>88
[6,8,3,7,2,5,1,4]=>1110000=>112
[6,8,4,7,2,5,1,3]=>1101000=>104
[6,8,4,7,3,5,1,2]=>1011000=>88
[6,8,5,7,2,4,1,3]=>1100100=>100
[6,8,5,7,3,4,1,2]=>1010100=>84
[7,8,3,6,2,5,1,4]=>1110000=>112
[7,8,4,6,2,5,1,3]=>1101000=>104
[7,8,4,6,3,5,1,2]=>1011000=>88
[7,8,5,6,2,4,1,3]=>1100100=>100
[5,4,3,8,2,7,1,6]=>1111000=>120
[6,4,3,8,2,7,1,5]=>1111000=>120
[6,5,3,8,2,7,1,4]=>1110100=>116
[6,5,4,8,2,7,1,3]=>1101100=>108
[6,5,4,8,3,7,1,2]=>1011100=>92
[7,4,3,8,2,6,1,5]=>1111000=>120
[7,5,3,8,2,6,1,4]=>1110100=>116
[7,5,4,8,2,6,1,3]=>1101100=>108
[7,6,3,8,2,5,1,4]=>1110010=>114
[7,6,4,8,2,5,1,3]=>1101010=>106
[7,6,5,8,2,4,1,3]=>1100110=>102
[8,4,3,7,2,6,1,5]=>1111000=>120
[8,5,3,7,2,6,1,4]=>1110100=>116
[8,5,4,7,2,6,1,3]=>1101100=>108
[8,5,4,7,3,6,1,2]=>1011100=>92
[8,6,3,7,2,5,1,4]=>1110010=>114
[8,6,4,7,2,5,1,3]=>1101010=>106
[8,6,4,7,3,5,1,2]=>1011010=>90
[8,6,5,7,2,4,1,3]=>1100110=>102
[8,7,3,6,2,5,1,4]=>1110001=>113
[8,7,4,6,2,5,1,3]=>1101001=>105
[8,7,4,6,3,5,1,2]=>1011001=>89
[8,7,5,6,2,4,1,3]=>1100101=>101
[6,5,4,3,2,8,1,7]=>1111100=>124
[7,6,4,3,2,8,1,5]=>1111010=>122
[7,6,5,4,2,8,1,3]=>1101110=>110
[8,5,4,3,2,7,1,6]=>1111100=>124
[8,6,4,3,2,7,1,5]=>1111010=>122
[8,6,5,3,2,7,1,4]=>1110110=>118
[8,6,5,4,2,7,1,3]=>1101110=>110
[8,7,4,3,2,6,1,5]=>1111001=>121
[8,7,5,3,2,6,1,4]=>1110101=>117
[8,7,5,4,2,6,1,3]=>1101101=>109
[8,7,6,3,2,5,1,4]=>1110011=>115
[8,7,6,4,2,5,1,3]=>1101011=>107
[8,7,6,5,2,4,1,3]=>1100111=>103
[8,1,2,3,4,7,5,6]=>1000100=>68
[8,1,2,3,6,4,5,7]=>1001000=>72
[8,1,2,3,7,4,5,6]=>1001000=>72
[7,1,2,3,6,4,8,5]=>1001100=>76
[5,1,2,3,8,7,4,6]=>1001001=>73
[8,1,2,3,6,7,4,5]=>1001000=>72
[4,1,2,8,3,7,5,6]=>1010100=>84
[8,1,2,5,3,4,6,7]=>1010000=>80
[7,1,2,5,3,4,8,6]=>1010010=>82
[8,1,2,6,3,4,5,7]=>1010000=>80
[7,1,2,6,3,4,8,5]=>1010100=>84
[6,1,2,5,3,8,4,7]=>1011000=>88
[8,1,2,5,3,7,4,6]=>1011000=>88
[8,1,2,6,3,7,4,5]=>1011000=>88
[6,1,2,5,3,7,8,4]=>1011000=>88
[4,1,2,8,6,3,5,7]=>1010010=>82
[4,1,2,8,7,3,5,6]=>1010001=>81
[4,1,2,7,6,3,8,5]=>1010110=>86
[8,1,2,5,6,3,4,7]=>1010000=>80
[8,1,2,5,7,3,4,6]=>1010000=>80
[8,1,2,7,6,3,4,5]=>1010010=>82
[7,1,2,5,6,3,8,4]=>1011000=>88
[4,1,2,5,8,7,3,6]=>1010001=>81
[4,1,2,8,6,7,3,5]=>1010010=>82
[8,1,2,5,6,7,3,4]=>1010000=>80
[3,1,8,2,4,7,5,6]=>1100100=>100
[3,1,8,2,6,4,5,7]=>1101000=>104
[3,1,8,2,7,4,5,6]=>1101000=>104
[3,1,7,2,6,4,8,5]=>1101100=>108
[3,1,5,2,8,7,4,6]=>1101001=>105
[3,1,8,2,6,7,4,5]=>1101000=>104
[8,1,4,2,3,5,6,7]=>1100000=>96
[7,1,4,2,3,5,8,6]=>1100010=>98
[6,1,4,2,3,8,5,7]=>1100100=>100
[8,1,4,2,3,7,5,6]=>1100100=>100
[6,1,4,2,3,7,8,5]=>1100100=>100
[8,1,5,2,3,4,6,7]=>1100000=>96
[7,1,5,2,3,4,8,6]=>1100010=>98
[8,1,7,2,3,4,5,6]=>1100000=>96
[6,1,5,2,3,8,4,7]=>1101000=>104
[8,1,5,2,3,7,4,6]=>1101000=>104
[6,1,8,2,3,7,4,5]=>1101000=>104
[6,1,5,2,3,7,8,4]=>1101000=>104
[5,1,4,2,8,3,6,7]=>1110000=>112
[5,1,4,2,7,3,8,6]=>1110010=>114
[8,1,4,2,6,3,5,7]=>1110000=>112
[8,1,4,2,7,3,5,6]=>1110000=>112
[7,1,4,2,6,3,8,5]=>1110100=>116
[8,1,5,2,6,3,4,7]=>1110000=>112
[8,1,5,2,7,3,4,6]=>1110000=>112
[7,1,8,2,6,3,4,5]=>1110000=>112
[7,1,5,2,6,3,8,4]=>1111000=>120
[5,1,4,2,6,8,3,7]=>1110000=>112
[5,1,4,2,8,7,3,6]=>1110001=>113
[8,1,4,2,6,7,3,5]=>1110000=>112
[8,1,5,2,6,7,3,4]=>1110000=>112
[5,1,4,2,6,7,8,3]=>1110000=>112
[3,1,4,8,2,7,5,6]=>1100100=>100
[3,1,8,5,2,4,6,7]=>1100100=>100
[3,1,7,5,2,4,8,6]=>1100110=>102
[3,1,8,6,2,4,5,7]=>1100010=>98
[3,1,7,6,2,4,8,5]=>1100110=>102
[3,1,6,5,2,8,4,7]=>1101100=>108
[3,1,8,5,2,7,4,6]=>1101100=>108
[3,1,8,6,2,7,4,5]=>1101010=>106
[3,1,6,5,2,7,8,4]=>1101100=>108
[8,1,4,5,2,3,6,7]=>1100000=>96
[7,1,4,5,2,3,8,6]=>1100010=>98
[8,1,4,6,2,3,5,7]=>1100000=>96
[7,1,4,8,2,3,5,6]=>1100000=>96
[7,1,4,6,2,3,8,5]=>1100100=>100
[8,1,6,5,2,3,4,7]=>1100100=>100
[7,1,8,5,2,3,4,6]=>1100100=>100
[7,1,8,6,2,3,4,5]=>1100010=>98
[7,1,6,5,2,3,8,4]=>1101100=>108
[6,1,4,5,2,8,3,7]=>1110000=>112
[8,1,4,5,2,7,3,6]=>1110000=>112
[8,1,4,6,2,7,3,5]=>1110000=>112
[8,1,6,5,2,7,3,4]=>1110100=>116
[6,1,4,5,2,7,8,3]=>1110000=>112
[3,1,4,8,6,2,5,7]=>1100010=>98
[3,1,4,8,7,2,5,6]=>1100001=>97
[3,1,4,7,6,2,8,5]=>1100110=>102
[3,1,8,5,6,2,4,7]=>1100100=>100
[3,1,8,5,7,2,4,6]=>1100100=>100
[3,1,8,7,6,2,4,5]=>1100011=>99
[3,1,7,5,6,2,8,4]=>1101100=>108
[8,1,4,5,6,2,3,7]=>1100000=>96
[8,1,4,5,7,2,3,6]=>1100000=>96
[8,1,4,7,6,2,3,5]=>1100010=>98
[8,1,7,5,6,2,3,4]=>1100100=>100
[7,1,4,5,6,2,8,3]=>1110000=>112
[3,1,4,5,8,7,2,6]=>1100001=>97
[3,1,4,8,6,7,2,5]=>1100010=>98
[3,1,8,5,6,7,2,4]=>1100100=>100
[8,1,4,5,6,7,2,3]=>1100000=>96
[2,8,1,3,4,7,5,6]=>1000100=>68
[2,8,1,3,6,4,5,7]=>1001000=>72
[2,8,1,3,7,4,5,6]=>1001000=>72
[2,7,1,3,6,4,8,5]=>1001100=>76
[2,5,1,3,8,7,4,6]=>1001001=>73
[2,8,1,3,6,7,4,5]=>1001000=>72
[2,4,1,8,3,7,5,6]=>1010100=>84
[2,8,1,5,3,4,6,7]=>1010000=>80
[2,7,1,5,3,4,8,6]=>1010010=>82
[2,8,1,6,3,4,5,7]=>1010000=>80
[2,7,1,6,3,4,8,5]=>1010100=>84
[2,6,1,5,3,8,4,7]=>1011000=>88
[2,8,1,5,3,7,4,6]=>1011000=>88
[2,6,1,5,3,7,8,4]=>1011000=>88
[2,4,1,8,6,3,5,7]=>1010010=>82
[2,4,1,8,7,3,5,6]=>1010001=>81
[2,4,1,7,6,3,8,5]=>1010110=>86
[2,8,1,5,6,3,4,7]=>1010000=>80
[2,8,1,5,7,3,4,6]=>1010000=>80
[2,8,1,7,6,3,4,5]=>1010010=>82
[2,7,1,5,6,3,8,4]=>1011000=>88
[2,4,1,5,8,7,3,6]=>1010001=>81
[2,4,1,8,6,7,3,5]=>1010010=>82
[2,8,1,5,6,7,3,4]=>1010000=>80
[7,3,1,2,4,5,8,6]=>1010010=>82
[6,3,1,2,4,8,5,7]=>1010100=>84
[8,3,1,2,4,7,5,6]=>1010100=>84
[6,3,1,2,4,7,8,5]=>1010100=>84
[5,3,1,2,8,4,6,7]=>1011000=>88
[5,3,1,2,7,4,8,6]=>1011010=>90
[8,3,1,2,6,4,5,7]=>1011000=>88
[8,3,1,2,7,4,5,6]=>1011000=>88
[7,3,1,2,6,4,8,5]=>1011100=>92
[5,3,1,2,6,8,4,7]=>1011000=>88
[5,3,1,2,8,7,4,6]=>1011001=>89
[8,3,1,2,6,7,4,5]=>1011000=>88
[5,3,1,2,6,7,8,4]=>1011000=>88
[7,4,1,2,3,5,8,6]=>1001010=>74
[6,4,1,2,3,8,5,7]=>1001100=>76
[8,4,1,2,3,7,5,6]=>1001100=>76
[6,4,1,2,3,7,8,5]=>1001100=>76
[7,6,1,2,3,4,8,5]=>1000110=>70
[5,8,1,2,3,7,4,6]=>1001000=>72
[8,6,1,2,3,7,4,5]=>1001010=>74
[5,4,1,2,8,3,6,7]=>1011000=>88
[5,4,1,2,7,3,8,6]=>1011010=>90
[8,4,1,2,6,3,5,7]=>1011000=>88
[8,4,1,2,7,3,5,6]=>1011000=>88
[7,4,1,2,6,3,8,5]=>1011100=>92
[5,8,1,2,6,3,4,7]=>1010000=>80
[5,8,1,2,7,3,4,6]=>1010000=>80
[8,7,1,2,6,3,4,5]=>1010001=>81
[5,7,1,2,6,3,8,4]=>1011000=>88
[5,4,1,2,6,8,3,7]=>1011000=>88
[5,4,1,2,8,7,3,6]=>1011001=>89
[8,4,1,2,6,7,3,5]=>1011000=>88
[5,8,1,2,6,7,3,4]=>1010000=>80
[5,4,1,2,6,7,8,3]=>1011000=>88
[4,3,1,8,2,5,6,7]=>1110000=>112
[4,3,1,7,2,5,8,6]=>1110010=>114
[4,3,1,6,2,8,5,7]=>1110100=>116
[4,3,1,8,2,7,5,6]=>1110100=>116
[4,3,1,6,2,7,8,5]=>1110100=>116
[8,3,1,5,2,4,6,7]=>1110000=>112
[7,3,1,5,2,4,8,6]=>1110010=>114
[8,3,1,6,2,4,5,7]=>1110000=>112
[7,3,1,8,2,4,5,6]=>1110000=>112
[7,3,1,6,2,4,8,5]=>1110100=>116
[6,3,1,5,2,8,4,7]=>1111000=>120
[8,3,1,5,2,7,4,6]=>1111000=>120
[8,3,1,6,2,7,4,5]=>1111000=>120
[6,3,1,5,2,7,8,4]=>1111000=>120
[8,4,1,5,2,3,6,7]=>1101000=>104
[7,4,1,5,2,3,8,6]=>1101010=>106
[8,4,1,6,2,3,5,7]=>1101000=>104
[7,4,1,8,2,3,5,6]=>1101000=>104
[7,4,1,6,2,3,8,5]=>1101100=>108
[6,8,1,5,2,3,4,7]=>1100000=>96
[8,7,1,5,2,3,4,6]=>1100001=>97
[8,7,1,6,2,3,4,5]=>1100001=>97
[6,7,1,5,2,3,8,4]=>1101000=>104
[6,4,1,5,2,8,3,7]=>1111000=>120
[8,4,1,5,2,7,3,6]=>1111000=>120
[8,4,1,6,2,7,3,5]=>1111000=>120
[6,8,1,5,2,7,3,4]=>1110000=>112
[6,4,1,5,2,7,8,3]=>1111000=>120
[4,3,1,5,8,2,6,7]=>1110000=>112
[4,3,1,5,7,2,8,6]=>1110010=>114
[4,3,1,8,6,2,5,7]=>1110010=>114
[4,3,1,8,7,2,5,6]=>1110001=>113
[4,3,1,7,6,2,8,5]=>1110110=>118
[8,3,1,5,6,2,4,7]=>1110000=>112
[8,3,1,5,7,2,4,6]=>1110000=>112
[8,3,1,7,6,2,4,5]=>1110010=>114
[7,3,1,5,6,2,8,4]=>1111000=>120
[8,4,1,5,6,2,3,7]=>1101000=>104
[8,4,1,5,7,2,3,6]=>1101000=>104
[8,4,1,7,6,2,3,5]=>1101010=>106
[7,8,1,5,6,2,3,4]=>1100000=>96
[7,4,1,5,6,2,8,3]=>1111000=>120
[4,3,1,5,6,8,2,7]=>1110000=>112
[4,3,1,5,8,7,2,6]=>1110001=>113
[4,3,1,8,6,7,2,5]=>1110010=>114
[8,3,1,5,6,7,2,4]=>1110000=>112
[8,4,1,5,6,7,2,3]=>1101000=>104
[4,3,1,5,6,7,8,2]=>1110000=>112
[2,3,8,1,4,7,5,6]=>1000100=>68
[2,3,8,1,6,4,5,7]=>1001000=>72
[2,3,8,1,7,4,5,6]=>1001000=>72
[2,3,7,1,6,4,8,5]=>1001100=>76
[2,3,5,1,8,7,4,6]=>1001001=>73
[2,3,8,1,6,7,4,5]=>1001000=>72
[2,8,4,1,3,5,6,7]=>1001000=>72
[2,7,4,1,3,5,8,6]=>1001010=>74
[2,6,4,1,3,8,5,7]=>1001100=>76
[2,8,4,1,3,7,5,6]=>1001100=>76
[2,6,4,1,3,7,8,5]=>1001100=>76
[2,8,5,1,3,4,6,7]=>1000100=>68
[2,7,5,1,3,4,8,6]=>1000110=>70
[2,8,7,1,3,4,5,6]=>1000001=>65
[2,6,5,1,3,8,4,7]=>1001100=>76
[2,8,5,1,3,7,4,6]=>1001100=>76
[2,6,8,1,3,7,4,5]=>1001000=>72
[2,6,5,1,3,7,8,4]=>1001100=>76
[2,5,4,1,8,3,6,7]=>1011000=>88
[2,5,4,1,7,3,8,6]=>1011010=>90
[2,8,4,1,6,3,5,7]=>1011000=>88
[2,8,4,1,7,3,5,6]=>1011000=>88
[2,7,4,1,6,3,8,5]=>1011100=>92
[2,8,5,1,6,3,4,7]=>1010100=>84
[2,8,5,1,7,3,4,6]=>1010100=>84
[2,7,8,1,6,3,4,5]=>1010000=>80
[2,7,5,1,6,3,8,4]=>1011100=>92
[2,5,4,1,6,8,3,7]=>1011000=>88
[2,5,4,1,8,7,3,6]=>1011001=>89
[2,8,4,1,6,7,3,5]=>1011000=>88
[2,8,5,1,6,7,3,4]=>1010100=>84
[2,5,4,1,6,7,8,3]=>1011000=>88
[7,3,4,1,2,5,8,6]=>1010010=>82
[6,3,4,1,2,8,5,7]=>1010100=>84
[8,3,4,1,2,7,5,6]=>1010100=>84
[6,3,4,1,2,7,8,5]=>1010100=>84
[7,3,5,1,2,4,8,6]=>1010010=>82
[6,3,7,1,2,4,8,5]=>1010100=>84
[6,3,5,1,2,8,4,7]=>1011000=>88
[8,3,5,1,2,7,4,6]=>1011000=>88
[6,3,8,1,2,7,4,5]=>1011000=>88
[6,3,5,1,2,7,8,4]=>1011000=>88
[7,5,4,1,2,3,8,6]=>1001110=>78
[6,8,4,1,2,3,5,7]=>1001000=>72
[6,7,4,1,2,3,8,5]=>1001100=>76
[6,8,5,1,2,3,4,7]=>1000100=>68
[6,7,5,1,2,3,8,4]=>1001100=>76
[6,5,4,1,2,8,3,7]=>1011100=>92
[8,5,4,1,2,7,3,6]=>1011100=>92
[6,8,4,1,2,7,3,5]=>1011000=>88
[6,8,5,1,2,7,3,4]=>1010100=>84
[6,5,4,1,2,7,8,3]=>1011100=>92
[5,3,4,1,8,2,6,7]=>1110000=>112
[5,3,4,1,7,2,8,6]=>1110010=>114
[8,3,4,1,6,2,5,7]=>1110000=>112
[8,3,4,1,7,2,5,6]=>1110000=>112
[7,3,4,1,6,2,8,5]=>1110100=>116
[8,3,5,1,6,2,4,7]=>1110000=>112
[8,3,5,1,7,2,4,6]=>1110000=>112
[7,3,8,1,6,2,4,5]=>1110000=>112
[7,3,5,1,6,2,8,4]=>1111000=>120
[8,5,4,1,6,2,3,7]=>1101100=>108
[8,5,4,1,7,2,3,6]=>1101100=>108
[7,8,4,1,6,2,3,5]=>1101000=>104
[7,8,5,1,6,2,3,4]=>1100100=>100
[7,5,4,1,6,2,8,3]=>1111100=>124
[5,3,4,1,6,8,2,7]=>1110000=>112
[5,3,4,1,8,7,2,6]=>1110001=>113
[8,3,4,1,6,7,2,5]=>1110000=>112
[8,3,5,1,6,7,2,4]=>1110000=>112
[8,5,4,1,6,7,2,3]=>1101100=>108
[5,3,4,1,6,7,8,2]=>1110000=>112
[2,3,4,8,1,7,5,6]=>1000100=>68
[2,3,8,5,1,4,6,7]=>1000100=>68
[2,3,7,5,1,4,8,6]=>1000110=>70
[2,3,8,6,1,4,5,7]=>1000010=>66
[2,3,7,6,1,4,8,5]=>1000110=>70
[2,3,6,5,1,8,4,7]=>1001100=>76
[2,3,8,5,1,7,4,6]=>1001100=>76
[2,3,8,6,1,7,4,5]=>1001010=>74
[2,3,6,5,1,7,8,4]=>1001100=>76
[2,8,4,5,1,3,6,7]=>1001000=>72
[2,7,4,5,1,3,8,6]=>1001010=>74
[2,8,4,6,1,3,5,7]=>1001000=>72
[2,7,4,8,1,3,5,6]=>1001000=>72
[2,7,4,6,1,3,8,5]=>1001100=>76
[2,8,6,5,1,3,4,7]=>1000110=>70
[2,7,8,5,1,3,4,6]=>1000100=>68
[2,7,8,6,1,3,4,5]=>1000010=>66
[2,7,6,5,1,3,8,4]=>1001110=>78
[2,6,4,5,1,8,3,7]=>1011000=>88
[2,8,4,5,1,7,3,6]=>1011000=>88
[2,8,4,6,1,7,3,5]=>1011000=>88
[2,8,6,5,1,7,3,4]=>1010110=>86
[2,6,4,5,1,7,8,3]=>1011000=>88
[7,3,4,5,1,2,8,6]=>1010010=>82
[7,3,4,6,1,2,8,5]=>1010100=>84
[8,3,6,5,1,2,4,7]=>1010100=>84
[7,3,8,5,1,2,4,6]=>1010100=>84
[7,3,8,6,1,2,4,5]=>1010010=>82
[7,3,6,5,1,2,8,4]=>1011100=>92
[7,6,4,5,1,2,8,3]=>1011010=>90
[6,3,4,5,1,8,2,7]=>1110000=>112
[8,3,4,5,1,7,2,6]=>1110000=>112
[8,3,4,6,1,7,2,5]=>1110000=>112
[8,3,6,5,1,7,2,4]=>1110100=>116
[8,6,4,5,1,7,2,3]=>1101010=>106
[6,3,4,5,1,7,8,2]=>1110000=>112
[2,3,4,8,6,1,5,7]=>1000010=>66
[2,3,4,8,7,1,5,6]=>1000001=>65
[2,3,4,7,6,1,8,5]=>1000110=>70
[2,3,8,5,6,1,4,7]=>1000100=>68
[2,3,8,5,7,1,4,6]=>1000100=>68
[2,3,8,7,6,1,4,5]=>1000011=>67
[2,3,7,5,6,1,8,4]=>1001100=>76
[2,8,4,5,6,1,3,7]=>1001000=>72
[2,8,4,5,7,1,3,6]=>1001000=>72
[2,8,4,7,6,1,3,5]=>1001010=>74
[2,8,7,5,6,1,3,4]=>1000101=>69
[2,7,4,5,6,1,8,3]=>1011000=>88
[8,3,4,5,7,1,2,6]=>1010000=>80
[8,3,4,7,6,1,2,5]=>1010010=>82
[8,3,7,5,6,1,2,4]=>1010100=>84
[7,3,4,5,6,1,8,2]=>1110000=>112
[2,3,4,5,8,7,1,6]=>1000001=>65
[2,3,4,8,6,7,1,5]=>1000010=>66
[2,3,8,5,6,7,1,4]=>1000100=>68
[2,8,4,5,6,7,1,3]=>1001000=>72
[9,1,2,3,4,5,6,7,8]=>10000000=>128
[8,1,2,3,4,5,6,9,7]=>10000010=>130
[7,1,2,3,4,5,9,6,8]=>10000100=>132
[9,1,2,3,4,5,8,6,7]=>10000100=>132
[7,1,2,3,4,5,8,9,6]=>10000100=>132
[6,1,2,3,4,9,5,7,8]=>10001000=>136
[6,1,2,3,4,8,5,9,7]=>10001010=>138
[9,1,2,3,4,7,5,6,8]=>10001000=>136
[9,1,2,3,4,8,5,6,7]=>10001000=>136
[8,1,2,3,4,7,5,9,6]=>10001100=>140
[6,1,2,3,4,7,9,5,8]=>10001000=>136
[6,1,2,3,4,9,8,5,7]=>10001001=>137
[9,1,2,3,4,7,8,5,6]=>10001000=>136
[6,1,2,3,4,7,8,9,5]=>10001000=>136
[5,1,2,3,9,4,6,7,8]=>10010000=>144
[5,1,2,3,8,4,6,9,7]=>10010010=>146
[9,1,2,3,6,4,5,7,8]=>10010000=>144
[8,1,2,3,9,4,5,6,7]=>10010000=>144
[5,1,2,3,9,8,4,6,7]=>10010001=>145
[9,1,2,3,6,8,4,5,7]=>10010000=>144
[5,1,2,3,6,9,8,4,7]=>10010001=>145
[5,1,2,3,6,7,8,9,4]=>10010000=>144
[4,1,2,8,3,5,6,9,7]=>10100010=>162
[4,1,2,9,3,5,8,6,7]=>10100100=>164
[4,1,2,9,3,8,5,6,7]=>10101000=>168
[9,1,2,5,3,4,6,7,8]=>10100000=>160
[9,1,2,8,3,4,5,6,7]=>10100000=>160
[7,1,2,8,3,4,5,9,6]=>10100100=>164
[4,1,2,5,9,3,6,7,8]=>10100000=>160
[4,1,2,8,9,3,5,6,7]=>10100000=>160
[8,1,2,5,9,3,4,6,7]=>10100000=>160
[8,1,2,9,6,3,4,5,7]=>10100100=>164
[4,1,2,5,9,8,3,6,7]=>10100001=>161
[9,1,2,8,6,7,3,4,5]=>10100100=>164
[4,1,2,5,6,7,9,3,8]=>10100000=>160
[4,1,2,9,6,7,8,3,5]=>10100100=>164
[9,1,2,5,6,7,8,3,4]=>10100000=>160
[4,1,2,5,6,7,8,9,3]=>10100000=>160
[3,1,9,2,4,5,6,7,8]=>11000000=>192
[3,1,8,2,4,5,6,9,7]=>11000010=>194
[3,1,9,2,4,5,8,6,7]=>11000100=>196
[3,1,5,2,7,4,9,6,8]=>11010100=>212
[8,1,4,2,3,5,6,9,7]=>11000010=>194
[9,1,4,2,3,5,8,6,7]=>11000100=>196
[6,1,4,2,3,7,8,9,5]=>11001000=>200
[9,1,8,2,3,4,5,6,7]=>11000000=>192
[8,1,7,2,3,4,5,9,6]=>11000100=>196
[3,1,4,9,2,5,6,7,8]=>11000000=>192
[3,1,4,9,2,5,8,6,7]=>11000100=>196
[3,1,9,8,2,4,5,6,7]=>11000001=>193
[9,1,4,5,2,3,6,7,8]=>11000000=>192
[7,1,4,5,2,3,8,9,6]=>11000100=>196
[7,1,4,9,2,3,5,6,8]=>11000000=>192
[9,1,4,8,2,3,5,6,7]=>11000000=>192
[9,1,6,5,2,3,4,7,8]=>11001000=>200
[7,1,9,6,2,3,4,5,8]=>11000100=>196
[9,1,8,6,2,3,4,5,7]=>11000100=>196
[7,1,8,9,2,3,4,5,6]=>11000000=>192
[3,1,4,8,9,2,5,6,7]=>11000000=>192
[3,1,8,9,7,2,4,5,6]=>11000010=>194
[8,1,4,5,6,2,3,9,7]=>11000010=>194
[8,1,4,9,7,2,3,5,6]=>11000010=>194
[8,1,9,5,6,2,3,4,7]=>11001000=>200
[8,1,9,7,6,2,3,4,5]=>11000110=>198
[7,1,4,5,6,2,8,9,3]=>11100000=>224
[3,1,4,5,6,9,2,7,8]=>11000000=>192
[3,1,4,5,6,8,2,9,7]=>11000010=>194
[3,1,4,9,8,7,2,5,6]=>11000011=>195
[3,1,9,8,6,7,2,4,5]=>11000101=>197
[9,1,4,5,6,7,2,3,8]=>11000000=>192
[9,1,4,8,6,7,2,3,5]=>11000100=>196
[9,1,8,5,6,7,2,3,4]=>11001000=>200
[8,1,4,5,6,7,2,9,3]=>11100000=>224
[3,1,4,5,6,7,9,2,8]=>11000000=>192
[3,1,4,9,6,7,8,2,5]=>11000100=>196
[3,1,9,5,6,7,8,2,4]=>11001000=>200
[9,1,4,5,6,7,8,2,3]=>11000000=>192
[3,1,4,5,6,7,8,9,2]=>11000000=>192
[2,9,1,3,4,5,6,7,8]=>10000000=>128
[2,8,1,3,4,5,6,9,7]=>10000010=>130
[2,7,1,3,4,5,9,6,8]=>10000100=>132
[2,9,1,3,4,5,8,6,7]=>10000100=>132
[2,7,1,3,4,5,8,9,6]=>10000100=>132
[2,6,1,3,4,9,5,7,8]=>10001000=>136
[2,9,1,3,4,8,5,6,7]=>10001000=>136
[2,8,1,3,9,4,5,6,7]=>10010000=>144
[2,9,1,3,8,7,4,5,6]=>10010010=>146
[2,9,1,3,6,7,8,4,5]=>10010000=>144
[2,5,1,3,6,7,8,9,4]=>10010000=>144
[2,4,1,6,3,8,5,9,7]=>10101010=>170
[2,9,1,8,3,4,5,6,7]=>10100000=>160
[2,7,1,6,3,4,8,9,5]=>10101000=>168
[2,6,1,5,3,7,8,9,4]=>10110000=>176
[2,4,1,5,9,3,6,7,8]=>10100000=>160
[2,4,1,8,9,3,5,6,7]=>10100000=>160
[2,8,1,9,7,3,4,5,6]=>10100010=>162
[2,9,1,8,6,7,3,4,5]=>10100100=>164
[2,4,1,5,6,7,9,3,8]=>10100000=>160
[2,4,1,5,6,9,8,3,7]=>10100001=>161
[2,9,1,5,6,7,8,3,4]=>10100000=>160
[2,4,1,5,6,7,8,9,3]=>10100000=>160
[9,3,1,2,4,5,6,7,8]=>10100000=>160
[8,3,1,2,4,5,6,9,7]=>10100010=>162
[9,3,1,2,4,5,8,6,7]=>10100100=>164
[6,3,1,2,4,7,8,9,5]=>10101000=>168
[9,3,1,2,6,7,8,4,5]=>10110000=>176
[5,3,1,2,6,7,8,9,4]=>10110000=>176
[9,4,1,2,3,5,6,7,8]=>10010000=>144
[7,4,1,2,3,5,8,9,6]=>10010100=>148
[6,4,1,2,3,7,8,9,5]=>10011000=>152
[5,9,1,2,3,4,6,7,8]=>10000000=>128
[5,8,1,2,3,4,6,9,7]=>10000010=>130
[5,7,1,2,3,4,8,9,6]=>10000100=>132
[9,6,1,2,3,4,5,7,8]=>10000100=>132
[8,6,1,2,3,4,5,9,7]=>10000110=>134
[9,7,1,2,3,4,5,6,8]=>10000010=>130
[8,9,1,2,3,4,5,6,7]=>10000000=>128
[8,7,1,2,3,4,5,9,6]=>10000110=>134
[7,6,1,2,3,4,9,5,8]=>10001100=>140
[9,6,1,2,3,4,8,5,7]=>10001100=>140
[9,7,1,2,3,4,8,5,6]=>10001010=>138
[7,6,1,2,3,4,8,9,5]=>10001100=>140
[5,6,1,2,3,9,4,7,8]=>10010000=>144
[5,9,1,2,3,8,4,6,7]=>10010000=>144
[9,6,1,2,3,7,4,5,8]=>10010100=>148
[9,8,1,2,3,7,4,5,6]=>10010001=>145
[8,6,1,2,3,7,4,9,5]=>10011100=>156
[5,6,1,2,3,7,9,4,8]=>10010000=>144
[9,6,1,2,3,7,8,4,5]=>10010100=>148
[5,6,1,2,3,7,8,9,4]=>10010000=>144
[5,4,1,2,9,3,6,7,8]=>10110000=>176
[8,4,1,2,9,3,5,6,7]=>10110000=>176
[5,9,1,2,6,3,4,7,8]=>10100000=>160
[5,8,1,2,9,3,4,6,7]=>10100000=>160
[9,7,1,2,6,3,8,4,5]=>10110010=>178
[5,4,1,2,6,9,3,7,8]=>10110000=>176
[9,8,1,2,6,7,3,4,5]=>10100001=>161
[5,4,1,2,6,7,9,3,8]=>10110000=>176
[5,4,1,2,6,7,8,9,3]=>10110000=>176
[4,3,1,9,2,5,6,7,8]=>11100000=>224
[9,3,1,8,2,4,5,6,7]=>11100000=>224
[9,4,1,5,2,3,6,7,8]=>11010000=>208
[9,4,1,8,2,3,5,6,7]=>11010000=>208
[6,9,1,5,2,3,4,7,8]=>11000000=>192
[9,7,1,6,2,3,4,5,8]=>11000010=>194
[8,7,1,9,2,3,4,5,6]=>11000010=>194
[8,7,1,6,2,3,4,9,5]=>11001010=>202
[9,4,1,6,2,8,3,5,7]=>11110000=>240
[9,8,1,6,2,7,3,4,5]=>11100001=>225
[4,3,1,5,9,2,6,7,8]=>11100000=>224
[9,8,1,7,6,2,3,4,5]=>11000101=>197
[4,3,1,5,6,8,2,9,7]=>11100010=>226
[4,3,1,5,9,8,2,6,7]=>11100001=>225
[4,3,1,5,8,7,2,9,6]=>11100110=>230
[8,9,1,5,6,7,2,3,4]=>11000000=>192
[4,3,1,5,6,7,9,2,8]=>11100000=>224
[4,3,1,5,6,9,8,2,7]=>11100001=>225
[9,3,1,5,6,7,8,2,4]=>11100000=>224
[9,4,1,5,6,7,8,2,3]=>11010000=>208
[4,3,1,5,6,7,8,9,2]=>11100000=>224
[2,3,9,1,4,5,6,7,8]=>10000000=>128
[2,3,8,1,4,5,6,9,7]=>10000010=>130
[2,3,9,1,4,5,8,6,7]=>10000100=>132
[2,3,9,1,4,7,8,5,6]=>10001000=>136
[2,3,9,1,8,7,4,5,6]=>10010010=>146
[2,3,8,1,6,7,4,9,5]=>10011000=>152
[2,3,5,1,6,7,9,4,8]=>10010000=>144
[2,3,9,1,6,7,8,4,5]=>10010000=>144
[2,3,5,1,6,7,8,9,4]=>10010000=>144
[2,9,4,1,3,5,6,7,8]=>10010000=>144
[2,6,4,1,3,7,8,9,5]=>10011000=>152
[2,9,5,1,3,4,6,7,8]=>10001000=>136
[2,6,9,1,3,4,5,7,8]=>10000000=>128
[2,9,7,1,3,4,5,6,8]=>10000010=>130
[2,9,8,1,3,4,5,6,7]=>10000001=>129
[2,6,7,1,3,4,8,9,5]=>10001000=>136
[2,9,4,1,6,3,5,7,8]=>10110000=>176
[2,8,4,1,9,3,5,6,7]=>10110000=>176
[2,9,4,1,6,3,8,5,7]=>10111000=>184
[2,9,8,1,7,3,4,5,6]=>10100001=>161
[2,9,5,1,6,7,8,3,4]=>10101000=>168
[9,3,4,1,2,5,6,7,8]=>10100000=>160
[6,3,4,1,2,7,8,9,5]=>10101000=>168
[9,3,7,1,2,4,5,6,8]=>10100000=>160
[9,3,8,1,2,4,5,6,7]=>10100000=>160
[9,5,4,1,2,3,6,7,8]=>10011000=>152
[8,5,4,1,2,3,6,9,7]=>10011010=>154
[6,9,4,1,2,3,5,7,8]=>10010000=>144
[6,8,4,1,2,3,5,9,7]=>10010010=>146
[9,7,4,1,2,3,5,6,8]=>10010010=>146
[9,8,4,1,2,3,5,6,7]=>10010001=>145
[6,9,5,1,2,3,4,7,8]=>10001000=>136
[6,8,5,1,2,3,4,9,7]=>10001010=>138
[8,7,5,1,2,3,4,9,6]=>10001110=>142
[6,7,9,1,2,3,4,5,8]=>10000000=>128
[6,9,8,1,2,3,4,5,7]=>10000001=>129
[9,7,8,1,2,3,4,5,6]=>10000010=>130
[6,7,8,1,2,3,4,9,5]=>10001000=>136
[6,5,4,1,2,8,3,9,7]=>10111010=>186
[9,8,5,1,7,2,3,4,6]=>11001001=>201
[7,8,9,1,6,2,3,4,5]=>11000000=>192
[7,8,5,1,6,2,3,9,4]=>11011000=>216
[5,3,4,1,6,8,2,9,7]=>11100010=>226
[9,3,4,1,8,7,2,5,6]=>11100010=>226
[8,3,4,1,6,7,2,9,5]=>11101000=>232
[9,5,4,1,8,7,2,3,6]=>11011010=>218
[8,5,4,1,6,7,2,9,3]=>11111000=>248
[5,3,4,1,9,7,8,2,6]=>11100010=>226
[9,3,5,1,6,7,8,2,4]=>11100000=>224
[9,5,4,1,6,7,8,2,3]=>11011000=>216
[5,3,4,1,6,7,8,9,2]=>11100000=>224
[2,3,4,9,1,5,6,7,8]=>10000000=>128
[2,3,4,9,1,5,8,6,7]=>10000100=>132
[2,3,4,9,1,7,8,5,6]=>10001000=>136
[2,3,4,6,1,7,8,9,5]=>10001000=>136
[2,3,9,5,1,4,6,7,8]=>10001000=>136
[2,3,9,6,1,4,5,7,8]=>10000100=>132
[2,3,7,9,1,4,5,6,8]=>10000000=>128
[2,3,9,8,1,4,5,6,7]=>10000001=>129
[2,3,9,5,1,7,4,6,8]=>10011000=>152
[2,3,9,6,1,7,8,4,5]=>10010100=>148
[2,9,4,5,1,3,6,7,8]=>10010000=>144
[2,7,4,5,1,3,8,9,6]=>10010100=>148
[2,9,8,6,1,3,4,5,7]=>10000101=>133
[2,7,8,9,1,3,4,5,6]=>10000000=>128
[2,8,9,6,1,7,3,4,5]=>10100100=>164
[2,9,6,5,1,7,8,3,4]=>10101100=>172
[7,3,4,5,1,2,8,9,6]=>10100100=>164
[9,3,4,8,1,2,5,6,7]=>10100000=>160
[7,3,4,8,1,2,5,9,6]=>10100100=>164
[7,3,8,9,1,2,4,5,6]=>10100000=>160
[9,8,4,5,1,2,3,6,7]=>10010001=>145
[7,8,4,6,1,2,3,9,5]=>10011000=>152
[9,8,6,5,1,2,3,4,7]=>10001101=>141
[7,8,9,6,1,2,3,4,5]=>10000100=>132
[7,8,6,5,1,2,3,9,4]=>10011100=>156
[8,3,9,6,1,7,2,4,5]=>11100100=>228
[8,3,6,5,1,7,2,9,4]=>11111000=>248
[8,6,4,5,1,7,2,9,3]=>11110100=>244
[6,3,4,5,1,7,9,2,8]=>11100000=>224
[6,3,4,5,1,9,8,2,7]=>11100001=>225
[9,3,4,6,1,7,8,2,5]=>11100000=>224
[6,3,4,5,1,7,8,9,2]=>11100000=>224
[2,3,4,5,9,1,6,7,8]=>10000000=>128
[2,3,4,5,8,1,6,9,7]=>10000010=>130
[2,3,4,5,9,1,8,6,7]=>10000100=>132
[2,3,4,5,7,1,8,9,6]=>10000100=>132
[2,3,4,9,6,1,5,7,8]=>10000100=>132
[2,3,4,9,7,1,5,6,8]=>10000010=>130
[2,3,4,9,6,1,8,5,7]=>10001100=>140
[2,3,4,9,7,1,8,5,6]=>10001010=>138
[2,3,9,5,6,1,4,7,8]=>10001000=>136
[2,3,8,5,6,1,4,9,7]=>10001010=>138
[2,3,9,5,6,1,8,4,7]=>10011000=>152
[2,8,4,5,6,1,3,9,7]=>10010010=>146
[2,8,9,5,7,1,3,4,6]=>10001000=>136
[2,8,9,7,6,1,3,4,5]=>10000110=>134
[2,9,7,5,6,1,8,3,4]=>10101010=>170
[8,3,4,5,6,1,2,9,7]=>10100010=>162
[8,3,4,7,6,1,2,9,5]=>10101100=>172
[8,3,9,7,6,1,2,4,5]=>10100110=>166
[8,3,7,5,6,1,2,9,4]=>10111000=>184
[9,7,4,5,6,1,2,3,8]=>10010010=>146
[8,9,4,5,6,1,2,3,7]=>10010000=>144
[8,9,7,5,6,1,2,3,4]=>10001010=>138
[8,7,4,5,6,1,2,9,3]=>10110010=>178
[7,3,4,5,6,1,9,2,8]=>11100000=>224
[9,3,4,5,6,1,8,2,7]=>11100000=>224
[9,3,7,5,6,1,8,2,4]=>11101000=>232
[7,3,4,5,6,1,8,9,2]=>11100000=>224
[2,3,4,5,6,9,1,7,8]=>10000000=>128
[2,3,4,5,6,8,1,9,7]=>10000010=>130
[2,3,4,5,9,7,1,6,8]=>10000010=>130
[2,3,4,5,9,8,1,6,7]=>10000001=>129
[2,3,4,9,6,7,1,5,8]=>10000100=>132
[2,3,9,5,6,7,1,4,8]=>10001000=>136
[2,3,9,5,6,8,1,4,7]=>10001000=>136
[2,9,4,5,6,7,1,3,8]=>10010000=>144
[2,9,4,5,6,8,1,3,7]=>10010000=>144
[2,9,4,5,8,7,1,3,6]=>10010010=>146
[2,9,4,8,6,7,1,3,5]=>10010100=>148
[2,9,8,5,6,7,1,3,4]=>10001001=>137
[2,8,4,5,6,7,1,9,3]=>10110000=>176
[9,3,4,5,6,7,1,2,8]=>10100000=>160
[9,3,4,5,6,8,1,2,7]=>10100000=>160
[9,8,4,5,6,7,1,2,3]=>10010001=>145
[8,3,4,5,6,7,1,9,2]=>11100000=>224
[2,3,4,5,6,7,9,1,8]=>10000000=>128
[2,3,4,5,6,9,8,1,7]=>10000001=>129
[2,3,4,5,9,7,8,1,6]=>10000010=>130
[2,3,4,9,6,7,8,1,5]=>10000100=>132
[2,3,9,5,6,7,8,1,4]=>10001000=>136
[2,9,4,5,6,7,8,1,3]=>10010000=>144
[9,3,4,5,6,7,8,1,2]=>10100000=>160
[2,3,4,5,6,7,8,9,1]=>10000000=>128
[3,5,2,6,1,4,8,7]=>1100001=>97
[3,5,2,6,4,1,8,7]=>1101001=>105
[3,5,2,7,4,8,1,6]=>1101000=>104
[3,5,2,7,4,8,6,1]=>1101010=>106
[4,5,7,2,3,8,6,1]=>1100010=>98
[4,5,7,2,3,8,1,6]=>1100000=>96
[4,5,6,2,3,1,8,7]=>1100001=>97
[4,5,6,2,1,3,8,7]=>1100001=>97
[3,5,1,6,4,2,8,7]=>1101001=>105
[4,5,6,1,3,2,8,7]=>1100001=>97
[4,5,6,3,1,2,8,7]=>1010001=>81
[4,5,7,3,2,8,1,6]=>1110000=>112
[4,5,7,3,2,8,6,1]=>1110010=>114
[4,6,7,3,8,2,5,1]=>1110000=>112
[4,6,7,3,8,2,1,5]=>1110000=>112
[4,6,7,3,8,1,2,5]=>1010000=>80
[4,5,7,3,1,8,2,6]=>1110000=>112
[4,5,7,1,3,8,2,6]=>1100000=>96
[3,5,1,7,4,8,2,6]=>1101000=>104
[2,1,5,7,4,8,3,6]=>1011000=>88
[2,1,5,7,4,8,6,3]=>1011010=>90
[3,5,1,7,4,8,6,2]=>1101010=>106
[4,5,7,1,3,8,6,2]=>1100010=>98
[4,5,7,3,1,8,6,2]=>1110010=>114
[4,6,7,3,8,1,5,2]=>1110000=>112
[4,6,7,3,8,5,1,2]=>1010100=>84
[4,6,7,3,8,5,2,1]=>1110100=>116
[5,6,7,8,3,1,4,2]=>1110000=>112
[5,6,7,8,1,3,4,2]=>1100000=>96
[4,6,7,1,8,3,5,2]=>1110000=>112
[3,6,1,7,8,4,5,2]=>1101000=>104
[2,1,6,7,8,4,5,3]=>1011000=>88
[2,1,6,7,8,4,3,5]=>1011000=>88
[3,6,1,7,8,4,2,5]=>1101000=>104
[4,6,7,1,8,3,2,5]=>1110000=>112
[5,6,7,8,1,3,2,4]=>1100000=>96
[4,5,7,2,1,8,3,6]=>1110000=>112
[4,6,7,2,8,1,3,5]=>1100000=>96
[4,6,7,2,8,3,1,5]=>1110000=>112
[4,6,7,2,8,3,5,1]=>1110000=>112
[3,6,2,7,8,4,5,1]=>1101000=>104
[3,6,2,7,8,4,1,5]=>1101000=>104
[3,6,2,7,8,1,4,5]=>1100000=>96
[3,5,2,7,1,8,4,6]=>1101000=>104
[3,4,2,1,7,8,5,6]=>1100100=>100
[3,4,1,2,7,8,6,5]=>1000110=>70
[3,5,2,7,1,8,6,4]=>1101010=>106
[3,6,2,7,8,1,5,4]=>1101000=>104
[3,6,2,7,8,5,1,4]=>1100100=>100
[3,6,2,7,8,5,4,1]=>1101100=>108
[4,6,7,2,8,5,3,1]=>1110100=>116
[4,6,7,2,8,5,1,3]=>1100100=>100
[4,6,7,2,8,1,5,3]=>1110000=>112
[4,5,7,2,1,8,6,3]=>1110010=>114
[4,5,7,1,2,8,6,3]=>1010010=>82
[3,5,1,7,2,8,6,4]=>1101010=>106
[2,1,5,7,3,8,6,4]=>1011010=>90
[2,1,6,7,8,3,5,4]=>1011000=>88
[3,6,1,7,8,2,5,4]=>1101000=>104
[4,6,7,1,8,2,5,3]=>1110000=>112
[5,6,7,8,1,2,4,3]=>1010000=>80
[5,6,7,8,2,1,4,3]=>1110000=>112
[5,6,7,8,2,4,1,3]=>1100000=>96
[5,6,7,8,2,4,3,1]=>1110000=>112
[5,6,7,8,1,4,2,3]=>1100000=>96
[4,6,7,1,8,5,2,3]=>1100100=>100
[3,6,1,7,8,5,2,4]=>1100100=>100
[2,1,6,7,8,5,3,4]=>1010100=>84
[3,6,1,7,8,5,4,2]=>1101100=>108
[4,6,7,1,8,5,3,2]=>1110100=>116
[5,6,7,8,1,4,3,2]=>1110000=>112
[5,6,7,8,4,1,3,2]=>1101000=>104
[3,4,2,1,6,5,8,7,10,9]=>110010101=>405
[3,5,2,6,4,1,8,7,10,9]=>110100101=>421
[3,5,2,7,4,8,6,1,10,9]=>110101001=>425
[3,5,2,7,4,9,6,10,8,1]=>110101010=>426
[2,1,5,6,4,3,8,7,10,9]=>101100101=>357
[4,5,6,3,2,1,8,7,10,9]=>111000101=>453
[4,5,7,3,2,8,6,1,10,9]=>111001001=>457
[4,5,7,3,2,9,6,10,8,1]=>111001010=>458
[2,1,5,7,4,8,6,3,10,9]=>101101001=>361
[4,6,7,3,8,5,2,1,10,9]=>111010001=>465
[4,6,7,3,9,5,2,10,8,1]=>111010010=>466
[2,1,5,7,4,9,6,10,8,3]=>101101010=>362
[4,6,8,3,9,5,10,7,2,1]=>111010100=>468
[2,1,4,3,7,8,6,5,10,9]=>101011001=>345
[3,4,2,1,7,8,6,5,10,9]=>110011001=>409
[3,6,2,7,8,5,4,1,10,9]=>110110001=>433
[3,6,2,7,9,5,4,10,8,1]=>110110010=>434
[2,1,6,7,8,5,4,3,10,9]=>101110001=>369
[5,6,7,8,4,3,2,1,10,9]=>111100001=>481
[5,6,7,9,4,3,2,10,8,1]=>111100010=>482
[2,1,6,7,9,5,4,10,8,3]=>101110010=>370
[5,6,8,9,4,3,10,7,2,1]=>111100100=>484
[2,1,4,3,7,9,6,10,8,5]=>101011010=>346
[3,4,2,1,7,9,6,10,8,5]=>110011010=>410
[3,6,2,8,9,5,10,7,4,1]=>110110100=>436
[2,1,6,8,9,5,10,7,4,3]=>101110100=>372
[5,7,8,9,4,10,6,3,2,1]=>111101000=>488
[6,7,8,9,10,4,5,3,2,1]=>111100000=>480
[6,7,8,9,10,1,4,5,3,2]=>111000000=>448
[6,7,8,9,10,1,4,5,2,3]=>110000000=>384
[6,7,8,9,10,4,5,2,3,1]=>110100000=>416
[6,7,8,9,10,4,3,2,1,5]=>111100000=>480
[6,7,8,9,10,3,4,5,2,1]=>111000000=>448
[6,7,8,9,10,3,4,5,1,2]=>101000000=>320
[6,7,8,9,10,1,3,4,5,2]=>110000000=>384
[6,7,8,9,10,3,4,1,2,5]=>101000000=>320
[6,7,8,9,10,3,4,2,1,5]=>111000000=>448
[6,7,8,9,10,2,3,4,1,5]=>110000000=>384
[6,7,8,9,10,2,3,4,5,1]=>110000000=>384
[2,1,4,3,6,5,9,10,8,7]=>101010110=>342
[3,4,2,1,6,5,9,10,8,7]=>110010110=>406
[3,5,2,6,4,1,9,10,8,7]=>110100110=>422
[3,5,2,8,4,9,10,7,6,1]=>110101100=>428
[2,1,5,6,4,3,9,10,8,7]=>101100110=>358
[4,5,6,3,2,1,9,10,8,7]=>111000110=>454
[4,5,8,3,2,9,10,7,6,1]=>111001100=>460
[2,1,5,8,4,9,10,7,6,3]=>101101100=>364
[4,7,8,3,9,10,6,5,2,1]=>111011000=>472
[2,1,4,3,8,9,10,7,6,5]=>101011100=>348
[3,4,2,1,8,9,10,7,6,5]=>110011100=>412
[3,7,2,8,9,10,6,5,4,1]=>110111000=>440
[2,1,7,8,9,10,6,5,4,3]=>101111000=>376
[6,7,8,9,10,1,5,4,3,2]=>111100000=>480
[6,7,8,9,10,5,4,3,2,1]=>111110000=>496
[6,5,8,7,3,4,1,2]=>1010101=>85
[3,6,7,4,5,8,1,2]=>1001000=>72
[2,6,7,4,5,1,8,3]=>1011000=>88
[1,6,7,4,5,2,3,8]=>0101000=>40
[1,5,4,7,6,2,3,8]=>0101010=>42
[2,5,4,7,6,1,8,3]=>1011010=>90
[3,5,4,7,6,8,1,2]=>1001010=>74
[4,5,3,7,8,6,1,2]=>1010010=>82
[5,4,3,8,7,6,1,2]=>1011011=>91
[6,4,8,3,7,5,1,2]=>1011100=>92
[6,3,8,4,5,7,1,2]=>1011000=>88
[5,3,4,8,6,7,1,2]=>1010010=>82
[4,3,5,6,8,7,1,2]=>1010001=>81
[3,2,5,6,1,8,7,4]=>1101001=>105
[4,2,5,6,8,1,7,3]=>1110000=>112
[5,2,4,8,6,1,7,3]=>1110010=>114
[6,2,8,4,5,1,7,3]=>1111000=>120
[7,8,2,4,5,1,6,3]=>1110000=>112
[7,8,1,4,5,2,3,6]=>1100000=>96
[6,1,8,4,5,2,3,7]=>1101000=>104
[5,1,4,8,6,2,3,7]=>1100010=>98
[4,1,3,2,8,6,5,7]=>1100110=>102
[5,1,3,8,2,6,4,7]=>1101000=>104
[6,1,8,3,2,5,4,7]=>1111000=>120
[7,8,1,3,2,5,4,6]=>1101000=>104
[7,8,2,3,1,5,6,4]=>1101000=>104
[6,2,8,3,1,5,7,4]=>1111000=>120
[5,2,3,8,1,6,7,4]=>1101000=>104
[6,3,8,2,1,7,5,4]=>1111100=>124
[7,8,3,2,1,6,5,4]=>1111100=>124
[7,8,4,2,6,1,5,3]=>1111000=>120
[5,4,2,8,7,1,6,3]=>1111001=>121
[4,5,2,7,8,1,6,3]=>1110000=>112
[2,5,3,7,1,6,8,4]=>1011000=>88
[1,5,3,7,2,6,4,8]=>0111000=>56
[1,6,7,3,2,5,4,8]=>0111000=>56
[2,6,7,3,1,5,8,4]=>1011000=>88
[3,6,7,2,1,8,5,4]=>1101100=>108
[7,8,5,6,2,1,4,3]=>1110100=>116
[6,5,8,7,1,2,3,4]=>1000101=>69
[5,4,1,8,7,2,3,6]=>1101001=>105
[6,4,8,1,7,2,3,5]=>1101000=>104
[7,8,3,1,2,6,4,5]=>1011000=>88
[5,3,1,8,2,7,4,6]=>1111000=>120
[4,3,1,2,8,7,5,6]=>1010101=>85
[4,2,1,3,8,5,7,6]=>1100110=>102
[5,2,1,8,3,4,7,6]=>1110010=>114
[6,2,8,1,3,4,7,5]=>1100100=>100
[7,8,2,1,3,4,6,5]=>1100100=>100
[4,3,1,2,6,5,8,7]=>1010101=>85
[5,3,1,6,2,4,8,7]=>1110001=>113
[6,3,1,5,2,4,8,7]=>1110001=>113
[7,3,1,5,2,8,4,6]=>1111000=>120
[8,4,5,1,2,7,3,6]=>1011000=>88
[7,4,5,1,2,8,3,6]=>1011000=>88
[6,4,5,1,2,3,8,7]=>1001001=>73
[5,4,6,1,2,3,8,7]=>1001001=>73
[2,1,6,5,3,4,8,7]=>1010101=>85
[3,6,1,5,2,4,8,7]=>1100001=>97
[4,6,5,1,2,3,8,7]=>1000101=>69
[5,6,4,1,2,3,8,7]=>1001001=>73
[6,5,4,1,2,3,8,7]=>1001101=>77
[7,5,4,1,2,8,3,6]=>1011100=>92
[8,6,4,1,7,2,3,5]=>1101010=>106
[7,6,4,1,8,2,3,5]=>1101010=>106
[6,7,4,1,8,2,3,5]=>1101000=>104
[5,7,4,1,2,8,3,6]=>1011000=>88
[4,7,5,1,2,8,3,6]=>1010100=>84
[3,7,1,5,2,8,4,6]=>1101000=>104
[2,1,7,5,3,8,4,6]=>1011100=>92
[2,1,8,5,3,7,4,6]=>1011100=>92
[3,8,1,5,2,7,4,6]=>1101000=>104
[4,8,5,1,2,7,3,6]=>1010100=>84
[5,8,4,1,2,7,3,6]=>1011000=>88
[6,8,4,1,7,2,3,5]=>1101000=>104
[8,7,4,1,6,2,3,5]=>1101001=>105
[5,8,6,7,1,2,3,4]=>1000010=>66
[4,8,6,1,7,2,3,5]=>1100010=>98
[3,8,1,6,7,2,4,5]=>1100000=>96
[2,1,8,6,7,3,4,5]=>1010010=>82
[2,1,7,6,8,3,4,5]=>1010010=>82
[3,7,1,6,8,2,4,5]=>1100000=>96
[4,7,6,1,8,2,3,5]=>1100010=>98
[5,7,6,8,1,2,3,4]=>1000010=>66
[5,4,7,1,2,8,3,6]=>1011000=>88
[6,4,7,1,8,2,3,5]=>1101000=>104
[7,4,6,1,8,2,3,5]=>1101000=>104
[8,4,6,1,7,2,3,5]=>1101000=>104
[8,3,1,6,7,2,4,5]=>1110000=>112
[7,3,1,6,8,2,4,5]=>1110000=>112
[6,3,1,7,8,2,4,5]=>1110000=>112
[5,3,1,7,2,8,4,6]=>1111000=>120
[4,3,1,2,7,8,5,6]=>1010100=>84
[2,1,4,3,8,7,5,6]=>1010101=>85
[3,4,1,2,8,7,5,6]=>1000101=>69
[6,3,1,8,7,2,4,5]=>1110001=>113
[7,3,1,8,6,2,4,5]=>1110010=>114
[8,4,7,1,6,2,3,5]=>1101000=>104
[7,4,8,1,6,2,3,5]=>1101000=>104
[5,4,8,1,2,7,3,6]=>1011000=>88
[4,5,8,1,2,7,3,6]=>1010000=>80
[3,5,1,8,2,7,4,6]=>1101000=>104
[2,1,5,8,3,7,4,6]=>1011000=>88
[2,1,6,8,7,3,4,5]=>1010001=>81
[3,6,1,8,7,2,4,5]=>1100001=>97
[4,6,8,1,7,2,3,5]=>1100000=>96
[5,6,8,7,1,2,3,4]=>1000001=>65
[7,5,8,6,1,2,3,4]=>1000110=>70
[8,5,7,6,1,2,3,4]=>1000110=>70
[5,7,8,6,1,2,3,4]=>1000010=>66
[4,7,8,1,6,2,3,5]=>1100000=>96
[3,7,1,8,6,2,4,5]=>1100010=>98
[2,1,7,8,6,3,4,5]=>1010010=>82
[2,1,8,7,6,3,4,5]=>1010011=>83
[3,8,1,7,6,2,4,5]=>1100010=>98
[4,8,7,1,6,2,3,5]=>1100001=>97
[5,8,7,6,1,2,3,4]=>1000011=>67
[6,8,7,5,1,2,3,4]=>1000101=>69
[6,4,7,3,8,5,1,2]=>1011100=>92
[6,4,7,3,5,8,1,2]=>1011000=>88
[6,4,7,2,5,1,8,3]=>1111000=>120
[5,4,2,7,6,1,3,8]=>1101010=>106
[5,4,2,7,6,1,8,3]=>1111010=>122
[5,4,3,7,6,8,1,2]=>1011010=>90
[5,4,3,7,8,6,1,2]=>1011010=>90
[6,4,8,3,5,7,1,2]=>1011000=>88
[5,4,3,8,6,7,1,2]=>1011010=>90
[5,4,3,6,8,7,1,2]=>1011001=>89
[5,4,2,6,7,1,8,3]=>1111000=>120
[5,4,2,6,7,1,3,8]=>1101000=>104
[5,3,2,6,1,7,4,8]=>1111000=>120
[5,3,2,6,1,7,8,4]=>1111000=>120
[5,3,2,6,1,8,7,4]=>1111001=>121
[5,4,2,6,8,1,7,3]=>1111000=>120
[5,4,2,8,6,1,7,3]=>1111010=>122
[6,4,8,2,5,1,7,3]=>1111000=>120
[7,8,4,2,5,1,6,3]=>1111000=>120
[7,8,4,2,5,1,3,6]=>1101000=>104
[5,4,2,8,6,1,3,7]=>1101010=>106
[5,3,2,6,1,8,4,7]=>1111000=>120
[4,3,2,1,6,8,5,7]=>1110100=>116
[4,3,2,1,8,6,5,7]=>1110110=>118
[5,3,2,8,1,6,4,7]=>1111000=>120
[6,3,8,2,1,5,4,7]=>1111000=>120
[7,8,3,2,1,5,4,6]=>1111000=>120
[7,8,3,2,1,5,6,4]=>1111000=>120
[6,3,8,2,1,5,7,4]=>1111000=>120
[5,3,2,8,1,6,7,4]=>1111000=>120
[5,4,2,7,8,1,6,3]=>1111000=>120
[5,3,2,7,1,8,6,4]=>1111010=>122
[5,3,2,7,1,6,8,4]=>1111000=>120
[5,3,2,7,1,6,4,8]=>1111000=>120
[6,3,7,2,1,5,4,8]=>1111000=>120
[6,3,7,2,1,5,8,4]=>1111000=>120
[6,3,7,2,1,8,5,4]=>1111100=>124
[6,4,7,2,8,1,5,3]=>1111000=>120
[6,5,7,8,2,1,4,3]=>1110100=>116
[6,5,8,7,2,1,3,4]=>1100101=>101
[6,3,7,2,1,8,4,5]=>1111000=>120
[6,3,7,2,1,4,8,5]=>1110100=>116
[6,3,7,2,1,4,5,8]=>1110000=>112
[5,3,2,7,1,4,8,6]=>1110010=>114
[5,4,2,8,7,1,3,6]=>1101001=>105
[7,8,4,2,6,1,3,5]=>1101000=>104
[7,8,3,2,1,6,4,5]=>1111000=>120
[6,3,8,2,1,7,4,5]=>1111000=>120
[5,3,2,8,1,7,4,6]=>1111000=>120
[4,3,2,1,8,7,5,6]=>1110101=>117
[4,3,2,1,7,5,8,6]=>1110110=>118
[4,3,2,1,7,5,6,8]=>1110100=>116
[4,3,2,1,8,5,7,6]=>1110110=>118
[5,3,2,8,1,4,7,6]=>1110010=>114
[6,3,8,2,1,4,7,5]=>1110100=>116
[7,8,3,2,1,4,6,5]=>1110100=>116
[6,3,8,2,1,4,5,7]=>1110000=>112
[4,3,2,1,8,5,6,7]=>1110100=>116
[4,3,2,1,5,8,6,7]=>1110010=>114
[7,8,5,6,1,2,4,3]=>1010100=>84
[7,8,4,1,6,2,5,3]=>1111000=>120
[7,8,1,4,6,2,5,3]=>1110000=>112
[6,1,8,4,7,2,5,3]=>1111000=>120
[1,6,8,4,7,2,5,3]=>0111000=>56
[1,6,8,3,2,7,5,4]=>0111100=>60
[6,1,8,3,2,7,5,4]=>1111100=>124
[7,8,1,3,2,6,5,4]=>1101100=>108
[7,8,3,1,2,6,5,4]=>1011100=>92
[7,8,3,4,6,5,1,2]=>1010100=>84
[7,8,2,4,6,1,5,3]=>1110000=>112
[7,8,2,3,1,6,5,4]=>1101100=>108
[7,8,2,1,3,6,5,4]=>1101100=>108
[7,8,1,2,3,6,5,4]=>1001100=>76
[6,1,8,2,3,7,5,4]=>1101100=>108
[1,6,8,2,3,7,5,4]=>0101100=>44
[1,5,2,8,3,7,6,4]=>0111010=>58
[5,1,2,8,3,7,6,4]=>1011010=>90
[5,2,1,8,3,7,6,4]=>1111010=>122
[6,2,8,1,3,7,5,4]=>1101100=>108
[6,2,8,3,1,7,5,4]=>1111100=>124
[6,2,8,4,7,1,5,3]=>1111000=>120
[6,3,8,4,7,5,1,2]=>1011100=>92
[3,6,8,4,7,5,1,2]=>1001100=>76
[2,6,8,4,7,1,5,3]=>1011000=>88
[2,6,8,3,1,7,5,4]=>1011100=>92
[2,6,8,1,3,7,5,4]=>1001100=>76
[2,5,1,8,3,7,6,4]=>1011010=>90
[1,2,5,8,3,7,6,4]=>0011010=>26
[2,4,1,3,8,7,6,5]=>1000111=>71
[2,5,3,8,1,7,6,4]=>1011010=>90
[2,5,4,8,7,1,6,3]=>1011001=>89
[3,5,4,8,7,6,1,2]=>1001011=>75
[5,3,4,8,7,6,1,2]=>1010011=>83
[5,2,4,8,7,1,6,3]=>1110001=>113
[5,2,3,8,1,7,6,4]=>1101010=>106
[4,2,1,3,8,7,6,5]=>1100111=>103
[4,1,2,3,8,7,6,5]=>1000111=>71
[1,4,2,3,8,7,6,5]=>0100111=>39
[4,1,3,2,8,7,6,5]=>1100111=>103
[4,3,1,2,8,7,6,5]=>1010111=>87
[6,3,8,1,2,7,5,4]=>1011100=>92
[5,3,1,8,2,7,6,4]=>1111010=>122
[5,1,3,8,2,7,6,4]=>1101010=>106
[1,5,3,8,2,7,6,4]=>0111010=>58
[1,5,4,8,7,2,6,3]=>0111001=>57
[5,1,4,8,7,2,6,3]=>1110001=>113
[5,4,1,8,7,2,6,3]=>1111001=>121
[6,4,8,1,7,2,5,3]=>1111000=>120
[6,5,8,7,1,2,4,3]=>1010101=>85
[5,6,8,7,3,4,1,2]=>1010001=>81
[5,6,8,7,2,1,4,3]=>1110001=>113
[4,5,1,8,7,2,6,3]=>1110001=>113
[4,1,5,8,7,2,6,3]=>1110001=>113
[1,4,5,8,7,2,6,3]=>0110001=>49
[1,3,5,8,2,7,6,4]=>0101010=>42
[3,1,5,8,2,7,6,4]=>1101010=>106
[3,6,8,1,2,7,5,4]=>1001100=>76
[3,6,8,2,1,7,5,4]=>1101100=>108
[4,6,8,2,7,1,5,3]=>1110000=>112
[4,6,8,3,7,5,1,2]=>1010100=>84
[4,5,3,8,7,6,1,2]=>1010011=>83
[4,5,2,8,7,1,6,3]=>1110001=>113
[3,5,2,8,1,7,6,4]=>1101010=>106
[3,1,4,2,8,7,6,5]=>1100111=>103
[3,1,2,4,8,7,6,5]=>1000111=>71
[3,2,5,8,1,7,6,4]=>1101010=>106
[4,2,5,8,7,1,6,3]=>1110001=>113
[4,3,5,8,7,6,1,2]=>1010011=>83
[3,4,5,8,7,6,1,2]=>1000011=>67
[2,4,5,8,7,1,6,3]=>1010001=>81
[2,3,5,8,1,7,6,4]=>1001010=>74
[4,1,3,2,6,5,8,7]=>1100101=>101
[5,1,3,2,6,4,8,7]=>1101001=>105
[6,1,3,2,5,4,8,7]=>1101001=>105
[7,1,3,2,5,4,8,6]=>1101010=>106
[8,1,3,2,5,4,7,6]=>1101010=>106
[8,1,4,2,5,3,7,6]=>1110010=>114
[7,1,4,2,5,3,8,6]=>1110010=>114
[6,1,4,2,5,3,8,7]=>1110001=>113
[5,1,4,2,6,3,8,7]=>1110001=>113
[2,1,6,3,5,4,8,7]=>1011001=>89
[3,1,6,2,5,4,8,7]=>1101001=>105
[4,1,6,2,5,3,8,7]=>1110001=>113
[6,2,5,1,4,3,8,7]=>1110001=>113
[5,2,6,1,4,3,8,7]=>1110001=>113
[5,2,7,1,4,3,8,6]=>1110010=>114
[5,2,8,1,4,3,7,6]=>1110010=>114
[6,2,8,1,4,3,7,5]=>1110100=>116
[6,2,7,1,4,3,8,5]=>1110100=>116
[7,2,6,1,4,3,8,5]=>1110100=>116
[7,2,5,1,4,3,8,6]=>1110010=>114
[4,1,7,2,5,3,8,6]=>1110010=>114
[3,1,7,2,5,4,8,6]=>1101010=>106
[2,1,7,3,5,4,8,6]=>1011010=>90
[2,1,8,3,5,4,7,6]=>1011010=>90
[3,1,8,2,5,4,7,6]=>1101010=>106
[4,1,8,2,5,3,7,6]=>1110010=>114
[8,2,5,1,4,3,7,6]=>1110010=>114
[8,2,6,1,4,3,7,5]=>1110100=>116
[7,1,4,3,8,2,6,5]=>1110100=>116
[8,1,4,3,7,2,6,5]=>1110100=>116
[8,1,5,3,7,2,6,4]=>1111000=>120
[7,1,5,3,8,2,6,4]=>1111000=>120
[8,2,6,1,5,3,7,4]=>1111000=>120
[5,1,8,2,6,3,7,4]=>1111000=>120
[4,1,8,2,6,3,7,5]=>1110100=>116
[3,1,8,2,6,4,7,5]=>1101100=>108
[2,1,8,3,6,4,7,5]=>1011100=>92
[2,1,7,3,6,4,8,5]=>1011100=>92
[4,1,7,2,6,3,8,5]=>1110100=>116
[5,1,7,2,6,3,8,4]=>1111000=>120
[7,2,6,1,5,3,8,4]=>1111000=>120
[6,2,7,1,5,3,8,4]=>1111000=>120
[6,2,8,1,5,3,7,4]=>1111000=>120
[8,1,5,2,6,3,7,4]=>1111000=>120
[6,1,5,2,7,3,8,4]=>1111000=>120
[6,1,4,2,7,3,8,5]=>1110100=>116
[8,1,4,2,6,3,7,5]=>1110100=>116
[8,1,3,2,6,4,7,5]=>1101100=>108
[7,1,3,2,6,4,8,5]=>1101100=>108
[6,1,3,2,7,4,8,5]=>1101100=>108
[5,1,3,2,7,4,8,6]=>1101010=>106
[4,1,3,2,7,5,8,6]=>1100110=>102
[2,1,4,3,8,5,7,6]=>1010110=>86
[3,1,4,2,8,5,7,6]=>1100110=>102
[4,1,3,2,8,5,7,6]=>1100110=>102
[5,1,3,2,8,4,7,6]=>1101010=>106
[6,1,3,2,8,4,7,5]=>1101100=>108
[8,4,7,1,3,2,6,5]=>1101100=>108
[7,4,8,1,3,2,6,5]=>1101100=>108
[7,3,8,1,4,2,6,5]=>1110100=>116
[8,3,7,1,4,2,6,5]=>1110100=>116
[6,1,4,2,8,3,7,5]=>1110100=>116
[5,1,4,2,8,3,7,6]=>1110010=>114
[4,1,5,2,8,3,7,6]=>1110010=>114
[3,1,5,2,8,4,7,6]=>1101010=>106
[2,1,5,3,8,4,7,6]=>1011010=>90
[2,1,6,3,8,4,7,5]=>1011100=>92
[3,1,6,2,8,4,7,5]=>1101100=>108
[4,1,6,2,8,3,7,5]=>1110100=>116
[5,1,6,2,8,3,7,4]=>1111000=>120
[6,1,5,2,8,3,7,4]=>1111000=>120
[8,3,7,1,5,2,6,4]=>1111000=>120
[7,3,8,1,5,2,6,4]=>1111000=>120
[6,2,7,3,8,1,5,4]=>1111000=>120
[6,2,8,3,7,1,5,4]=>1111000=>120
[8,3,7,2,6,1,5,4]=>1111000=>120
[5,1,8,3,7,2,6,4]=>1111000=>120
[4,1,8,3,7,2,6,5]=>1110100=>116
[3,1,8,4,7,2,6,5]=>1101100=>108
[2,1,8,4,7,3,6,5]=>1011100=>92
[2,1,7,4,8,3,6,5]=>1011100=>92
[3,1,7,4,8,2,6,5]=>1101100=>108
[4,1,7,3,8,2,6,5]=>1110100=>116
[5,1,7,3,8,2,6,4]=>1111000=>120
[7,3,8,2,6,1,5,4]=>1111000=>120
[8,2,6,3,7,1,5,4]=>1111000=>120
[7,2,6,3,8,1,5,4]=>1111000=>120
[3,4,2,6,8,1,5,7]=>1100000=>96
[5,3,6,2,8,1,4,7]=>1110000=>112
[5,3,6,2,4,8,1,7]=>1110000=>112
[5,7,3,8,2,4,1,6]=>1110000=>112
[5,7,3,8,2,4,6,1]=>1110000=>112
[7,4,2,5,8,3,6,1]=>1111000=>120
[7,4,2,5,8,3,1,6]=>1111000=>120
[4,5,2,6,3,8,1,7]=>1110000=>112
[4,5,2,1,6,8,3,7]=>1110000=>112
[5,3,1,6,8,2,4,7]=>1110000=>112
[5,6,2,8,1,3,4,7]=>1100000=>96
[3,5,6,1,4,8,2,7]=>1100000=>96
[4,1,5,6,3,8,2,7]=>1110000=>112
[4,5,1,6,3,8,2,7]=>1110000=>112
[4,5,6,3,2,8,1,7]=>1110000=>112
[7,4,5,3,8,2,1,6]=>1111000=>120
[7,4,5,3,8,2,6,1]=>1111000=>120
[6,7,4,8,3,2,5,1]=>1111000=>120
[6,7,4,8,3,2,1,5]=>1111000=>120
[6,7,4,1,8,3,2,5]=>1111000=>120
[7,4,5,3,1,8,2,6]=>1111000=>120
[4,7,1,5,8,3,2,6]=>1110000=>112
[5,3,7,8,1,4,2,6]=>1110000=>112
[7,5,8,2,4,6,1,3]=>1100100=>100
[7,3,5,8,1,4,6,2]=>1110000=>112
[4,5,1,7,8,3,6,2]=>1110000=>112
[7,4,1,5,8,3,6,2]=>1111000=>120
[6,7,4,3,8,1,5,2]=>1111000=>120
[6,7,4,8,3,1,5,2]=>1111000=>120
[6,7,4,8,3,5,2,1]=>1111000=>120
[5,6,7,3,8,4,2,1]=>1111000=>120
[5,6,7,3,1,8,4,2]=>1111000=>120
[5,6,1,7,3,8,4,2]=>1111000=>120
[5,1,6,7,3,8,4,2]=>1111000=>120
[6,4,7,1,8,3,5,2]=>1111000=>120
[6,7,8,3,1,4,5,2]=>1110000=>112
[6,7,2,8,4,5,1,3]=>1101000=>104
[6,7,2,8,4,1,3,5]=>1101000=>104
[6,1,7,4,8,3,2,5]=>1111000=>120
[5,1,6,7,3,2,8,4]=>1111000=>120
[5,6,1,7,3,2,8,4]=>1111000=>120
[5,6,7,3,2,1,8,4]=>1111000=>120
[5,6,7,3,2,8,4,1]=>1111000=>120
[5,6,2,7,3,8,4,1]=>1111000=>120
[5,6,2,7,3,1,8,4]=>1111000=>120
[5,6,2,1,7,3,8,4]=>1111000=>120
[6,1,7,4,2,8,3,5]=>1111000=>120
[6,7,2,1,8,3,4,5]=>1110000=>112
[7,5,8,2,1,3,4,6]=>1100100=>100
[5,7,3,1,8,2,4,6]=>1110000=>112
[4,7,1,5,2,8,3,6]=>1110000=>112
[7,4,2,5,1,8,3,6]=>1111000=>120
[6,7,4,2,1,8,3,5]=>1111000=>120
[6,7,4,2,8,3,1,5]=>1111000=>120
[6,7,4,2,8,3,5,1]=>1111000=>120
[3,6,7,2,8,4,5,1]=>1101000=>104
[3,6,7,2,8,4,1,5]=>1101000=>104
[3,6,7,2,1,8,4,5]=>1101000=>104
[5,7,3,8,2,1,4,6]=>1110000=>112
[3,4,7,8,2,1,5,6]=>1100000=>96
[3,7,8,1,4,6,2,5]=>1100000=>96
[3,4,7,8,2,6,1,5]=>1100000=>96
[5,7,3,8,2,6,1,4]=>1110000=>112
[3,6,7,2,8,5,1,4]=>1100100=>100
[3,6,7,8,5,2,1,4]=>1100100=>100
[3,6,7,8,5,2,4,1]=>1100100=>100
[6,4,7,8,2,5,3,1]=>1111000=>120
[6,4,7,8,2,1,5,3]=>1111000=>120
[4,1,5,7,8,2,6,3]=>1110000=>112
[5,3,7,8,1,6,2,4]=>1110000=>112
[6,7,2,8,5,1,3,4]=>1100100=>100
[6,4,1,7,8,2,5,3]=>1111000=>120
[5,1,6,2,7,8,4,3]=>1111000=>120
[5,6,2,1,7,8,4,3]=>1111000=>120
[5,6,2,7,1,8,4,3]=>1111000=>120
[5,6,2,7,8,4,3,1]=>1111000=>120
[5,6,7,2,8,4,3,1]=>1111000=>120
[5,6,7,2,1,8,4,3]=>1111000=>120
[5,6,1,7,2,8,4,3]=>1111000=>120
[5,1,6,7,2,8,4,3]=>1111000=>120
[6,4,7,1,8,2,5,3]=>1111000=>120
[3,6,7,1,8,5,2,4]=>1100100=>100
[6,7,8,5,2,4,1,3]=>1100100=>100
[6,7,8,3,5,1,4,2]=>1110000=>112
[4,6,7,8,1,5,3,2]=>1110000=>112
[5,1,6,7,8,4,3,2]=>1111000=>120
[5,6,1,7,8,4,3,2]=>1111000=>120
[5,6,7,1,8,4,3,2]=>1111000=>120
[8,6,1,3,4,2,5,7]=>1100010=>98
[8,3,2,5,1,6,4,7]=>1111000=>120
[8,5,3,6,2,4,1,7]=>1110100=>116
[5,3,2,7,4,1,8,6]=>1111010=>122
[7,5,3,8,2,4,6,1]=>1110100=>116
[7,2,4,5,8,3,6,1]=>1110000=>112
[2,4,5,3,7,1,8,6]=>1010010=>82
[8,2,4,5,6,3,1,7]=>1110000=>112
[8,2,4,5,6,1,3,7]=>1100000=>96
[8,1,2,4,5,6,3,7]=>1010000=>80
[8,2,5,1,3,6,4,7]=>1101000=>104
[8,5,6,2,1,4,3,7]=>1110100=>116
[8,5,3,6,4,1,2,7]=>1011100=>92
[8,4,1,5,6,3,2,7]=>1111000=>120
[8,1,4,5,6,3,2,7]=>1110000=>112
[4,5,3,7,2,1,8,6]=>1110010=>114
[7,4,5,8,3,2,6,1]=>1111000=>120
[4,3,6,7,2,8,5,1]=>1110100=>116
[4,3,6,7,2,8,1,5]=>1110000=>112
[1,4,3,6,7,2,8,5]=>0110100=>52
[4,5,3,7,1,8,2,6]=>1110000=>112
[4,1,5,3,7,2,8,6]=>1110010=>114
[5,3,4,7,1,2,8,6]=>1010010=>82
[7,5,8,2,1,4,6,3]=>1110100=>116
[7,5,3,8,4,1,6,2]=>1111100=>124
[7,4,5,8,3,6,1,2]=>1011000=>88
[4,3,6,7,8,1,5,2]=>1110000=>112
[1,6,4,7,8,3,5,2]=>0111000=>56
[6,4,7,8,3,5,2,1]=>1111000=>120
[3,5,6,7,8,4,1,2]=>1001000=>72
[3,1,5,6,7,8,4,2]=>1101000=>104
[4,6,1,7,8,3,5,2]=>1110000=>112
[3,6,7,1,4,8,5,2]=>1100100=>100
[6,2,4,1,7,8,5,3]=>1110100=>116
[2,6,7,1,4,8,3,5]=>1010000=>80
[4,3,6,7,8,1,2,5]=>1010000=>80
[1,5,3,6,7,8,2,4]=>0110000=>48
[3,5,6,7,8,2,1,4]=>1100000=>96
[3,5,6,7,8,2,4,1]=>1100000=>96
[5,2,7,1,3,8,4,6]=>1101000=>104
[5,3,1,7,8,2,4,6]=>1110000=>112
[4,5,2,7,8,1,3,6]=>1100000=>96
[4,2,6,7,8,3,1,5]=>1110000=>112
[4,2,6,7,8,3,5,1]=>1110000=>112
[3,6,2,7,4,8,5,1]=>1101100=>108
[3,6,2,7,4,8,1,5]=>1101000=>104
[3,2,1,6,4,7,8,5]=>1101100=>108
[3,7,4,2,1,5,8,6]=>1101010=>106
[1,7,3,4,2,5,8,6]=>0110010=>50
[4,7,2,1,3,5,8,6]=>1100010=>98
[7,8,4,2,1,3,6,5]=>1101100=>108
[7,8,1,3,4,2,6,5]=>1100100=>100
[7,8,3,4,2,1,6,5]=>1110100=>116
[6,3,2,7,1,8,5,4]=>1111100=>124
[3,6,2,7,1,8,5,4]=>1101100=>108
[6,7,3,8,2,5,4,1]=>1111000=>120
[6,4,7,8,5,2,3,1]=>1101100=>108
[2,6,4,7,8,1,5,3]=>1011000=>88
[4,6,2,7,8,1,5,3]=>1110000=>112
[7,4,5,8,6,2,1,3]=>1101010=>106
[7,4,1,5,8,6,2,3]=>1101010=>106
[7,5,3,8,6,1,2,4]=>1010110=>86
[7,5,8,2,1,6,3,4]=>1110100=>116
[6,2,7,1,3,8,5,4]=>1101100=>108
[6,3,1,7,8,2,5,4]=>1111000=>120
[4,6,1,7,8,5,2,3]=>1100100=>100
[5,1,2,6,7,8,4,3]=>1011000=>88
[5,2,6,7,8,4,1,3]=>1101000=>104
[5,2,6,7,8,4,3,1]=>1111000=>120
[2,5,6,7,8,4,1,3]=>1001000=>72
[1,5,2,6,7,8,4,3]=>0111000=>56
[1,6,4,7,8,5,2,3]=>0101100=>44
[2,6,7,1,3,8,5,4]=>1001100=>76
[6,7,8,2,1,5,4,3]=>1111000=>120
[6,7,3,8,5,1,4,2]=>1110100=>116
[6,4,7,8,5,3,1,2]=>1011100=>92
[4,5,2,3,7,6,1,8]=>1100010=>98
[6,4,3,7,2,5,1,8]=>1111000=>120
[8,4,3,6,5,1,2,7]=>1011100=>92
[1,5,6,3,4,8,7,2]=>0110001=>49
[4,6,2,7,3,5,1,8]=>1110000=>112
[3,2,6,7,4,5,1,8]=>1101000=>104
[4,7,2,6,5,3,1,8]=>1110100=>116
[5,7,6,2,4,3,1,8]=>1110010=>114
[1,7,5,4,8,3,6,2]=>0111100=>60
[8,7,5,4,1,3,2,6]=>1101101=>109
[6,8,5,4,2,1,3,7]=>1101100=>108
[5,8,6,2,4,1,3,7]=>1100010=>98
[4,8,2,6,5,1,3,7]=>1100100=>100
[3,2,8,6,5,1,4,7]=>1100110=>102
[4,1,2,6,5,8,7,3]=>1010101=>85
[5,1,6,2,4,8,7,3]=>1110001=>113
[6,1,5,4,2,8,7,3]=>1111001=>121
[7,1,5,4,8,2,6,3]=>1111000=>120
[8,1,5,4,7,6,2,3]=>1101010=>106
[1,8,6,7,4,5,3,2]=>0111010=>58
[8,1,6,7,4,5,2,3]=>1101000=>104
[7,1,6,8,4,2,5,3]=>1111000=>120
[6,1,7,8,2,4,5,3]=>1110000=>112
[5,1,7,2,8,4,6,3]=>1111000=>120
[4,1,2,7,8,5,6,3]=>1010100=>84
[3,2,1,7,8,5,6,4]=>1101100=>108
[3,2,8,7,1,5,4,6]=>1101001=>105
[4,8,2,7,1,5,3,6]=>1110000=>112
[5,8,7,2,1,4,3,6]=>1110001=>113
[6,8,7,1,2,4,3,5]=>1010001=>81
[7,8,6,1,4,2,3,5]=>1100010=>98
[8,7,6,1,4,3,2,5]=>1110011=>115
[1,7,6,8,4,3,5,2]=>0111010=>58
[1,6,7,8,3,4,5,2]=>0110000=>48
[8,6,7,1,3,4,2,5]=>1100010=>98
[7,6,8,1,3,2,4,5]=>1100010=>98
[5,7,8,2,1,3,4,6]=>1100000=>96
[4,7,2,8,1,3,5,6]=>1100000=>96
[3,2,6,8,4,1,5,7]=>1101000=>104
[4,6,2,8,3,1,5,7]=>1110000=>112
[5,6,8,2,3,1,4,7]=>1100000=>96
[6,5,8,3,2,1,4,7]=>1110100=>116
[7,5,8,3,1,2,4,6]=>1010100=>84
[8,5,7,3,1,4,2,6]=>1110100=>116
[1,5,7,3,8,4,6,2]=>0111000=>56
[1,4,3,7,8,5,6,2]=>0110100=>52
[8,4,3,7,1,5,2,6]=>1111000=>120
[6,4,3,8,2,1,5,7]=>1111000=>120
[4,5,2,3,8,1,6,7]=>1100000=>96
[3,2,5,4,8,1,6,7]=>1101000=>104
[4,5,2,3,1,8,7,6]=>1100011=>99
[6,4,3,1,2,8,7,5]=>1011101=>93
[7,4,3,1,8,2,6,5]=>1111100=>124
[8,4,3,1,7,6,2,5]=>1111010=>122
[1,5,8,3,7,6,4,2]=>0111010=>58
[8,5,1,3,7,6,2,4]=>1100110=>102
[7,5,1,3,8,2,6,4]=>1101100=>108
[6,5,1,3,2,8,7,4]=>1101101=>109
[5,6,1,2,3,8,7,4]=>1001001=>73
[4,6,2,1,3,8,7,5]=>1100101=>101
[3,2,6,1,4,8,7,5]=>1100101=>101
[3,2,7,1,8,4,6,5]=>1101100=>108
[4,7,2,1,8,3,6,5]=>1110100=>116
[5,7,1,2,8,3,6,4]=>1011000=>88
[6,7,1,8,2,3,5,4]=>1101000=>104
[7,6,1,8,3,2,5,4]=>1111010=>122
[8,6,1,7,3,5,2,4]=>1110010=>114
[1,6,8,7,3,5,4,2]=>0111001=>57
[1,7,8,6,5,3,4,2]=>0110110=>54
[8,7,1,6,5,3,2,4]=>1110101=>117
[7,8,1,6,5,2,3,4]=>1100100=>100
[6,8,1,7,2,5,3,4]=>1110000=>112
[5,8,1,2,7,6,3,4]=>1010010=>82
[4,8,2,1,7,6,3,5]=>1110010=>114
[3,2,8,1,7,6,4,5]=>1101010=>106
[4,1,2,8,7,6,5,3]=>1010111=>87
[5,1,8,2,7,6,4,3]=>1111010=>122
[6,1,8,7,2,5,4,3]=>1111001=>121
[7,1,8,6,5,2,4,3]=>1110110=>118
[8,1,7,6,5,4,2,3]=>1101110=>110
[3,1,2,6,5,8,7,4]=>1001101=>77
[3,1,6,2,4,8,7,5]=>1100101=>101
[3,1,5,2,4,8,7,6]=>1100011=>99
[4,5,1,2,3,8,7,6]=>1000011=>67
[4,6,1,2,3,8,7,5]=>1000101=>69
[1,6,5,3,4,8,7,2]=>0110101=>53
[6,1,5,2,4,8,7,3]=>1110001=>113
[6,5,1,2,3,8,7,4]=>1001101=>77
[6,4,1,2,3,8,7,5]=>1001101=>77
[5,4,1,2,3,8,7,6]=>1001011=>75
[5,4,1,2,7,3,6,8]=>1011000=>88
[6,4,1,7,2,3,5,8]=>1101000=>104
[6,4,1,8,2,3,5,7]=>1101000=>104
[7,4,1,2,8,3,6,5]=>1011100=>92
[7,5,1,2,8,3,6,4]=>1011100=>92
[7,1,5,2,8,4,6,3]=>1111000=>120
[1,7,5,3,8,4,6,2]=>0111100=>60
[1,8,5,3,7,4,6,2]=>0111100=>60
[8,1,5,2,7,4,6,3]=>1111000=>120
[8,5,1,2,7,3,6,4]=>1011100=>92
[8,4,1,2,7,3,6,5]=>1011100=>92
[8,4,1,7,2,3,5,6]=>1101000=>104
[7,4,1,6,2,3,5,8]=>1101000=>104
[8,6,1,7,2,3,5,4]=>1101010=>106
[8,1,6,7,2,4,5,3]=>1110000=>112
[1,8,6,7,3,4,5,2]=>0110010=>50
[1,7,6,8,3,4,5,2]=>0110010=>50
[7,1,6,8,2,4,5,3]=>1110000=>112
[7,6,1,8,2,3,5,4]=>1101010=>106
[4,7,1,2,8,3,6,5]=>1010100=>84
[3,1,7,2,8,4,6,5]=>1101100=>108
[3,1,2,7,8,5,6,4]=>1001100=>76
[1,4,3,8,7,5,6,2]=>0110101=>53
[4,1,2,8,7,5,6,3]=>1010101=>85
[3,1,2,8,7,5,6,4]=>1001101=>77
[3,1,8,2,7,4,6,5]=>1101100=>108
[3,1,8,7,2,4,5,6]=>1100001=>97
[3,1,7,6,2,4,5,8]=>1100010=>98
[4,7,1,6,2,3,5,8]=>1100000=>96
[4,8,1,6,2,3,5,7]=>1100000=>96
[4,8,1,7,2,3,5,6]=>1100000=>96
[4,8,1,2,7,3,6,5]=>1010100=>84
[5,8,1,2,7,3,6,4]=>1011000=>88
[5,1,8,2,7,4,6,3]=>1111000=>120
[1,5,8,3,7,4,6,2]=>0111000=>56
[1,6,8,7,3,4,5,2]=>0110001=>49
[6,1,8,7,2,4,5,3]=>1110001=>113
[6,8,1,7,2,3,5,4]=>1101000=>104
[6,8,7,1,2,3,4,5]=>1000001=>65
[5,8,7,1,2,3,4,6]=>1000001=>65
[5,8,6,1,2,3,4,7]=>1000010=>66
[5,7,6,1,2,3,4,8]=>1000010=>66
[7,8,1,6,2,3,5,4]=>1101000=>104
[7,1,8,6,2,4,5,3]=>1110010=>114
[1,7,8,6,3,4,5,2]=>0110010=>50
[1,8,7,6,3,4,5,2]=>0110011=>51
[8,1,7,6,2,4,5,3]=>1110010=>114
[8,7,1,6,2,3,5,4]=>1101001=>105
[3,2,5,1,6,4,8,7]=>1101001=>105
[3,2,5,4,7,1,8,6]=>1101010=>106
[4,2,5,3,7,6,8,1]=>1110010=>114
[4,2,5,3,7,1,8,6]=>1110010=>114
[4,2,5,3,6,1,8,7]=>1110001=>113
[4,2,5,1,6,3,8,7]=>1110001=>113
[3,1,5,4,6,2,8,7]=>1101001=>105
[4,1,5,3,6,2,8,7]=>1110001=>113
[4,3,5,1,6,2,8,7]=>1110001=>113
[4,3,5,2,7,1,8,6]=>1110010=>114
[4,3,6,2,7,5,8,1]=>1110100=>116
[4,3,6,2,7,1,8,5]=>1110100=>116
[4,3,6,1,7,2,8,5]=>1110100=>116
[4,3,5,1,7,2,8,6]=>1110010=>114
[3,1,5,4,7,2,8,6]=>1101010=>106
[2,1,5,4,7,3,8,6]=>1011010=>90
[3,1,5,4,7,6,8,2]=>1101010=>106
[4,1,5,3,7,6,8,2]=>1110010=>114
[4,3,5,1,7,6,8,2]=>1110010=>114
[4,3,6,1,7,5,8,2]=>1110100=>116
[4,3,6,5,7,1,8,2]=>1110100=>116
[5,3,6,4,7,2,8,1]=>1111000=>120
[5,3,6,4,7,1,8,2]=>1111000=>120
[5,3,6,1,7,4,8,2]=>1111000=>120
[5,1,6,3,7,4,8,2]=>1111000=>120
[4,1,6,3,7,5,8,2]=>1110100=>116
[3,1,6,4,7,5,8,2]=>1101100=>108
[2,1,6,4,7,5,8,3]=>1011100=>92
[2,1,6,4,7,3,8,5]=>1011100=>92
[3,1,6,4,7,2,8,5]=>1101100=>108
[4,1,6,3,7,2,8,5]=>1110100=>116
[5,1,6,3,7,2,8,4]=>1111000=>120
[5,3,6,1,7,2,8,4]=>1111000=>120
[5,3,6,2,7,1,8,4]=>1111000=>120
[5,3,6,2,7,4,8,1]=>1111000=>120
[5,2,6,3,7,4,8,1]=>1111000=>120
[5,2,6,3,7,1,8,4]=>1111000=>120
[5,2,6,1,7,3,8,4]=>1111000=>120
[4,2,5,1,7,3,8,6]=>1110010=>114
[4,2,6,1,7,3,8,5]=>1110100=>116
[4,2,6,3,7,1,8,5]=>1110100=>116
[4,2,6,3,7,5,8,1]=>1110100=>116
[3,2,6,4,7,5,8,1]=>1101100=>108
[3,2,6,4,7,1,8,5]=>1101100=>108
[3,2,6,1,7,4,8,5]=>1101100=>108
[3,2,5,1,7,4,8,6]=>1101010=>106
[3,2,4,1,7,5,8,6]=>1100110=>102
[3,1,4,2,7,6,8,5]=>1100110=>102
[3,2,5,1,7,6,8,4]=>1101010=>106
[3,2,6,1,7,5,8,4]=>1101100=>108
[3,2,6,5,7,1,8,4]=>1101100=>108
[4,2,6,5,7,3,8,1]=>1110100=>116
[4,2,6,5,7,1,8,3]=>1110100=>116
[4,2,6,1,7,5,8,3]=>1110100=>116
[4,2,5,1,7,6,8,3]=>1110010=>114
[4,1,5,2,7,6,8,3]=>1110010=>114
[3,1,5,2,7,6,8,4]=>1101010=>106
[2,1,5,3,7,6,8,4]=>1011010=>90
[2,1,6,3,7,5,8,4]=>1011100=>92
[3,1,6,2,7,5,8,4]=>1101100=>108
[4,1,6,2,7,5,8,3]=>1110100=>116
[5,1,6,2,7,4,8,3]=>1111000=>120
[5,2,6,1,7,4,8,3]=>1111000=>120
[5,2,6,4,7,1,8,3]=>1111000=>120
[5,2,6,4,7,3,8,1]=>1111000=>120
[5,4,6,2,7,3,8,1]=>1111000=>120
[5,4,6,2,7,1,8,3]=>1111000=>120
[5,4,6,1,7,2,8,3]=>1111000=>120
[5,1,6,4,7,2,8,3]=>1111000=>120
[4,1,6,5,7,2,8,3]=>1110100=>116
[3,1,6,5,7,2,8,4]=>1101100=>108
[2,1,6,5,7,3,8,4]=>1011100=>92
[3,1,6,5,7,4,8,2]=>1101100=>108
[4,1,6,5,7,3,8,2]=>1110100=>116
[5,1,6,4,7,3,8,2]=>1111000=>120
[5,4,6,1,7,3,8,2]=>1111000=>120
[5,4,6,3,7,1,8,2]=>1111000=>120
[8,3,5,2,1,6,4,7]=>1111000=>120
[8,6,3,5,2,4,1,7]=>1110010=>114
[3,7,5,2,4,1,8,6]=>1100110=>102
[8,3,7,5,2,4,6,1]=>1110100=>116
[8,2,4,5,7,3,6,1]=>1110000=>112
[2,4,5,7,3,1,8,6]=>1010010=>82
[8,2,4,6,5,3,1,7]=>1110100=>116
[8,2,5,4,6,1,3,7]=>1101000=>104
[8,6,3,5,1,4,2,7]=>1110010=>114
[8,6,1,4,5,3,2,7]=>1110010=>114
[8,1,5,6,4,3,2,7]=>1111000=>120
[5,7,4,3,2,1,8,6]=>1111010=>122
[8,5,7,4,3,2,6,1]=>1111100=>124
[4,6,8,3,2,7,5,1]=>1110100=>116
[4,7,6,3,2,8,1,5]=>1110010=>114
[1,4,6,7,3,2,8,5]=>0110100=>52
[5,4,7,3,1,8,2,6]=>1111000=>120
[1,7,4,5,3,2,8,6]=>0111010=>58
[3,7,5,1,4,2,8,6]=>1100110=>102
[5,7,4,2,1,3,8,6]=>1101010=>106
[8,5,7,4,2,1,6,3]=>1111100=>124
[8,3,7,5,1,4,6,2]=>1110100=>116
[8,4,1,7,5,3,6,2]=>1111100=>124
[4,6,3,8,7,1,5,2]=>1110001=>113
[1,7,4,8,6,3,5,2]=>0111010=>58
[8,4,7,6,3,5,2,1]=>1111010=>122
[3,6,5,8,7,4,1,2]=>1001101=>77
[3,1,5,8,6,7,4,2]=>1101010=>106
[4,8,1,6,7,3,5,2]=>1110000=>112
[3,6,4,1,8,7,5,2]=>1101101=>109
[8,2,6,1,4,7,5,3]=>1110100=>116
[2,7,6,8,1,4,3,5]=>1010010=>82
[3,7,1,6,4,8,2,5]=>1101000=>104
[1,7,3,5,6,8,2,4]=>0110000=>48
[1,3,6,7,5,8,2,4]=>0100100=>36
[3,7,6,5,8,2,1,4]=>1100110=>102
[3,6,8,5,7,2,4,1]=>1100100=>100
[2,3,5,7,6,8,1,4]=>1000010=>66
[2,1,6,5,7,8,3,4]=>1010100=>84
[4,2,7,6,8,3,1,5]=>1110010=>114
[4,2,6,8,7,3,5,1]=>1110001=>113
[3,8,2,4,6,7,5,1]=>1100100=>100
[3,7,2,6,4,8,1,5]=>1101000=>104
[3,2,6,1,4,7,8,5]=>1100100=>100
[5,3,7,2,1,8,4,6]=>1111000=>120
[4,7,3,2,1,5,8,6]=>1110010=>114
[8,7,6,1,3,4,2,5]=>1100011=>99
[8,5,7,3,2,1,6,4]=>1111100=>124
[8,3,6,7,2,1,5,4]=>1111000=>120
[3,7,8,6,2,1,5,4]=>1101010=>106
[8,7,6,3,5,2,4,1]=>1110011=>115
[2,7,4,8,1,6,5,3]=>1011100=>92
[4,6,8,2,1,7,5,3]=>1110100=>116
[8,4,1,5,7,2,6,3]=>1111000=>120
[8,5,3,7,1,6,2,4]=>1110100=>116
[8,5,7,2,1,3,6,4]=>1101100=>108
[8,2,6,7,1,3,5,4]=>1101000=>104
[8,3,6,1,7,5,2,4]=>1110100=>116
[4,6,1,8,7,2,5,3]=>1110001=>113
[8,1,2,5,6,7,4,3]=>1011000=>88
[8,2,6,5,7,4,1,3]=>1101100=>108
[2,1,7,8,5,6,4,3]=>1011100=>92
[8,2,5,7,6,4,3,1]=>1111010=>122
[2,7,6,8,5,4,1,3]=>1001110=>78
[1,7,2,5,8,6,4,3]=>0111010=>58
[1,7,4,8,2,6,5,3]=>0111100=>60
[3,7,8,1,6,5,2,4]=>1100100=>100
[2,7,8,6,1,3,5,4]=>1001010=>74
[8,7,6,3,5,1,4,2]=>1110011=>115
[8,4,7,6,5,1,3,2]=>1101110=>110
[8,7,1,5,6,4,3,2]=>1111001=>121
[8,1,6,7,5,4,3,2]=>1111100=>124
[6,5,3,1,2,4,8,7]=>1010101=>85
[4,6,3,5,1,2,8,7]=>1010001=>81
[8,5,3,7,2,1,4,6]=>1110100=>116
[6,8,1,4,5,7,3,2]=>1110000=>112
[8,7,2,4,5,1,3,6]=>1100001=>97
[3,6,2,4,5,1,8,7]=>1100001=>97
[2,6,1,4,5,3,8,7]=>1010001=>81
[6,1,2,4,5,3,8,7]=>1010001=>81
[5,6,3,2,1,4,8,7]=>1110001=>113
[5,4,3,6,1,2,8,7]=>1011001=>89
[6,3,1,4,5,2,8,7]=>1110001=>113
[3,1,6,4,5,2,8,7]=>1101001=>105
[8,3,7,4,5,1,2,6]=>1011000=>88
[5,8,7,4,2,6,3,1]=>1111001=>121
[2,8,7,4,1,6,3,5]=>1011001=>89
[8,1,7,4,2,6,3,5]=>1111000=>120
[3,7,8,4,5,1,2,6]=>1001000=>72
[2,1,8,7,5,3,4,6]=>1010101=>85
[2,1,6,8,5,7,3,4]=>1010100=>84
[5,6,3,8,1,7,2,4]=>1110000=>112
[7,6,1,4,5,8,3,2]=>1110010=>114
[3,7,6,4,5,8,2,1]=>1101010=>106
[8,5,7,4,1,6,3,2]=>1111100=>124
[5,1,8,4,7,6,2,3]=>1101010=>106
[2,5,8,4,7,6,1,3]=>1001010=>74
[2,4,8,3,5,6,7,1]=>1010000=>80
[4,1,8,3,5,6,7,2]=>1110000=>112
[3,8,4,2,5,6,7,1]=>1101000=>104
[8,4,1,3,5,6,7,2]=>1101000=>104
[7,5,8,4,3,6,1,2]=>1011100=>92
[6,5,3,8,4,1,7,2]=>1111100=>124
[2,1,5,8,4,6,7,3]=>1011000=>88
[2,1,4,8,3,6,7,5]=>1010100=>84
[6,4,3,8,2,1,7,5]=>1111100=>124
[7,3,8,4,2,6,1,5]=>1111000=>120
[8,3,1,2,5,6,7,4]=>1011000=>88
[3,1,8,2,5,6,7,4]=>1101000=>104
[2,3,8,1,5,6,7,4]=>1001000=>72
[4,3,8,2,5,6,7,1]=>1110000=>112
[4,8,2,3,5,6,7,1]=>1100000=>96
[3,8,2,1,5,6,7,4]=>1101000=>104
[2,8,1,3,5,6,7,4]=>1001000=>72
[8,1,2,3,5,6,7,4]=>1001000=>72
[7,8,2,4,3,6,1,5]=>1110000=>112
[6,8,3,2,4,1,7,5]=>1110100=>116
[2,1,8,3,4,6,7,5]=>1010100=>84
[2,1,7,8,5,4,3,6]=>1011100=>92
[5,7,3,8,1,4,2,6]=>1110000=>112
[7,1,8,4,5,3,2,6]=>1111000=>120
[2,7,8,4,5,3,1,6]=>1011000=>88
[8,7,1,4,3,6,2,5]=>1110001=>113
[3,8,7,4,2,6,1,5]=>1101001=>105
[5,7,8,4,3,6,2,1]=>1111000=>120
[5,6,3,8,4,2,7,1]=>1111000=>120
[4,8,3,6,2,1,7,5]=>1110100=>116
[8,6,3,1,4,2,7,5]=>1110110=>118
[7,5,3,8,2,4,1,6]=>1110100=>116
[2,4,3,1,8,5,7,6]=>1010110=>86
[4,1,3,2,6,8,7,5]=>1100101=>101
[7,5,3,6,2,8,1,4]=>1110100=>116
[8,6,3,5,1,2,7,4]=>1011010=>90
[5,8,3,2,6,1,7,4]=>1111000=>120
[4,5,3,8,6,2,7,1]=>1110010=>114
[3,5,8,4,7,6,2,1]=>1101010=>106
[5,8,2,4,7,6,1,3]=>1100010=>98
[8,7,5,4,1,6,2,3]=>1101101=>109
[2,7,6,4,5,8,1,3]=>1001010=>74
[7,1,6,4,5,8,2,3]=>1101000=>104
[5,7,3,6,1,8,2,4]=>1110000=>112
[2,1,7,6,5,8,3,4]=>1010110=>86
[2,1,8,5,3,6,7,4]=>1011100=>92
[6,8,3,5,2,1,7,4]=>1111000=>120
[7,8,5,4,2,6,1,3]=>1101100=>108
[8,1,4,2,5,6,7,3]=>1110000=>112
[2,8,4,1,5,6,7,3]=>1011000=>88
[4,8,1,2,5,6,7,3]=>1010000=>80
[3,4,8,1,5,6,7,2]=>1100000=>96
[3,4,2,8,5,6,7,1]=>1100100=>100
[2,4,1,8,5,6,7,3]=>1010100=>84
[4,1,2,8,5,6,7,3]=>1010100=>84
[8,4,2,1,5,6,7,3]=>1111000=>120
[7,5,2,4,8,6,1,3]=>1100110=>102
[6,5,3,2,8,1,7,4]=>1111100=>124
[2,1,5,3,8,6,7,4]=>1011010=>90
[6,4,3,5,8,1,7,2]=>1111000=>120
[7,3,5,4,8,6,1,2]=>1011010=>90
[8,3,4,1,5,6,7,2]=>1110000=>112
[4,3,1,8,5,6,7,2]=>1110100=>116
[3,1,4,8,5,6,7,2]=>1100100=>100
[6,5,3,7,2,8,4,1]=>1111100=>124
[6,3,7,4,5,8,2,1]=>1111000=>120
[6,7,2,4,5,8,3,1]=>1110000=>112
[5,1,7,4,8,6,3,2]=>1111010=>122
[2,5,7,4,8,6,3,1]=>1011010=>90
[5,6,3,7,1,8,4,2]=>1111000=>120
[3,8,7,4,5,2,1,6]=>1101001=>105
[3,7,5,4,8,6,2,1]=>1101110=>110
[5,7,1,4,8,6,2,3]=>1100010=>98
[5,6,3,1,8,2,7,4]=>1111000=>120
[4,6,3,5,8,2,7,1]=>1110000=>112
[4,6,3,8,1,2,7,5]=>1010100=>84
[3,7,8,4,1,6,2,5]=>1101000=>104
[3,2,5,1,6,8,4,7]=>1101000=>104
[3,6,2,5,4,8,1,7]=>1101000=>104
[3,5,2,4,7,1,8,6]=>1100010=>98
[3,5,8,2,4,7,6,1]=>1100010=>98
[4,2,5,8,3,7,6,1]=>1110010=>114
[4,2,6,5,3,8,1,7]=>1110100=>116
[5,4,2,1,6,8,3,7]=>1111000=>120
[6,3,5,1,4,8,2,7]=>1110000=>112
[4,6,1,5,3,8,2,7]=>1110000=>112
[5,1,6,4,3,8,2,7]=>1111000=>120
[5,4,3,2,7,1,8,6]=>1111010=>122
[5,4,3,8,2,7,6,1]=>1111010=>122
[4,3,6,2,8,7,5,1]=>1110101=>117
[4,3,7,6,2,1,8,5]=>1110110=>118
[6,4,3,1,7,2,8,5]=>1111100=>124
[7,5,4,3,1,8,2,6]=>1111100=>124
[1,4,7,5,8,3,2,6]=>0110100=>52
[7,1,3,5,8,4,2,6]=>1101000=>104
[7,2,5,8,4,1,3,6]=>1101000=>104
[2,8,5,7,4,6,1,3]=>1001100=>76
[3,5,8,7,1,4,6,2]=>1100001=>97
[1,4,5,8,7,3,6,2]=>0110001=>49
[1,5,4,8,7,3,6,2]=>0111001=>57
[6,4,3,8,1,7,5,2]=>1111100=>124
[4,3,7,1,8,6,5,2]=>1110110=>118
[4,8,3,7,6,5,2,1]=>1110110=>118
[5,3,8,7,6,4,2,1]=>1111011=>123
[7,5,3,1,8,6,4,2]=>1111110=>126
[1,8,6,5,3,7,4,2]=>0111110=>62
[1,5,8,6,3,7,4,2]=>0111010=>58
[4,6,1,8,7,3,5,2]=>1110001=>113
[6,8,7,3,1,4,5,2]=>1110001=>113
[6,2,8,7,4,5,1,3]=>1101001=>105
[7,6,2,8,4,1,3,5]=>1101010=>106
[7,3,1,6,8,4,2,5]=>1111000=>120
[1,7,6,4,8,3,2,5]=>0111010=>58
[5,7,1,6,3,2,8,4]=>1111000=>120
[6,1,7,5,3,2,8,4]=>1111100=>124
[7,6,5,3,2,1,8,4]=>1111110=>126
[6,5,3,2,8,7,4,1]=>1111101=>125
[5,2,6,3,8,7,4,1]=>1111001=>121
[5,2,7,6,3,1,8,4]=>1111010=>122
[6,5,2,1,7,3,8,4]=>1111100=>124
[5,2,7,4,1,8,3,6]=>1111000=>120
[4,7,2,6,3,1,8,5]=>1110100=>116
[2,4,8,6,3,7,5,1]=>1010110=>86
[3,8,6,2,4,7,5,1]=>1100110=>102
[7,3,6,2,4,1,8,5]=>1110100=>116
[3,6,7,2,1,4,8,5]=>1100100=>100
[4,3,7,8,2,1,5,6]=>1110000=>112
[8,3,7,1,4,6,2,5]=>1110000=>112
[3,8,2,5,7,1,6,4]=>1101000=>104
[8,3,6,2,7,1,5,4]=>1111000=>120
[7,8,3,6,2,1,5,4]=>1111000=>120
[8,7,3,6,2,5,4,1]=>1111001=>121
[4,7,8,2,1,6,5,3]=>1110100=>116
[4,2,6,8,1,7,5,3]=>1110100=>116
[5,4,8,2,7,1,6,3]=>1111000=>120
[4,8,1,5,7,2,6,3]=>1110000=>112
[5,8,3,7,1,6,2,4]=>1110000=>112
[5,8,7,2,6,1,3,4]=>1100001=>97
[8,6,2,7,5,1,3,4]=>1100110=>102
[3,6,8,1,7,5,2,4]=>1100100=>100
[5,1,6,8,2,7,4,3]=>1111000=>120
[6,5,2,8,1,7,4,3]=>1111100=>124
[5,2,7,1,8,6,4,3]=>1111010=>122
[5,8,2,7,6,4,3,1]=>1111010=>122
[6,2,8,7,5,4,3,1]=>1111101=>125
[7,6,2,1,8,5,4,3]=>1111110=>126
[6,1,7,2,8,5,4,3]=>1111100=>124
[7,5,1,8,2,6,4,3]=>1111100=>124
[4,7,1,8,6,2,5,3]=>1110010=>114
[7,8,3,1,6,5,2,4]=>1110100=>116
[8,7,4,6,1,5,3,2]=>1111001=>121
[8,5,7,1,6,4,3,2]=>1111100=>124
[6,8,1,7,5,4,3,2]=>1111100=>124
[7,1,8,6,5,4,3,2]=>1111110=>126
[5,4,2,3,7,6,1,8]=>1101010=>106
[6,4,2,7,3,5,1,8]=>1111000=>120
[7,4,2,6,3,5,1,8]=>1111000=>120
[8,4,2,6,3,1,5,7]=>1111000=>120
[3,2,7,6,4,5,1,8]=>1101010=>106
[4,7,2,6,3,5,1,8]=>1110000=>112
[5,7,6,2,3,4,1,8]=>1100010=>98
[1,6,5,2,3,8,4,7]=>0101100=>44
[1,7,5,2,8,3,4,6]=>0110100=>52
[6,8,5,2,3,1,4,7]=>1100100=>100
[5,8,6,2,3,1,4,7]=>1100010=>98
[4,8,2,6,3,1,5,7]=>1110000=>112
[3,2,8,6,4,1,5,7]=>1101010=>106
[3,2,1,6,4,8,5,7]=>1101100=>108
[7,1,5,2,8,3,4,6]=>1110000=>112
[1,8,5,2,7,3,4,6]=>0110100=>52
[1,8,6,7,2,3,4,5]=>0100010=>34
[8,1,6,7,2,3,4,5]=>1100000=>96
[7,1,6,8,2,3,4,5]=>1100000=>96
[3,2,1,7,8,4,5,6]=>1101000=>104
[3,2,8,7,1,4,5,6]=>1100001=>97
[5,8,7,2,1,3,4,6]=>1100001=>97
[1,7,6,8,2,3,4,5]=>0100010=>34
[6,5,8,2,3,1,4,7]=>1100100=>100
[8,5,7,2,1,3,4,6]=>1100100=>100
[6,4,2,8,3,1,5,7]=>1111000=>120
[5,4,2,3,8,1,6,7]=>1101000=>104
[3,2,5,4,1,8,6,7]=>1101010=>106
[4,5,2,3,1,8,6,7]=>1100010=>98
[5,4,2,3,1,8,6,7]=>1101010=>106
[6,4,2,1,3,8,5,7]=>1101100=>108
[7,4,2,1,8,3,5,6]=>1111000=>120
[8,4,2,1,7,3,5,6]=>1111000=>120
[1,4,2,8,7,3,5,6]=>0110001=>49
[1,5,8,2,7,3,4,6]=>0110000=>48
[8,5,1,2,7,3,4,6]=>1010100=>84
[7,5,1,2,8,3,4,6]=>1010100=>84
[6,5,1,2,3,8,4,7]=>1001100=>76
[4,6,2,1,3,8,5,7]=>1100100=>100
[3,2,6,1,4,8,5,7]=>1100100=>100
[3,2,7,1,8,4,5,6]=>1101000=>104
[4,7,2,1,8,3,5,6]=>1110000=>112
[7,6,1,8,2,3,4,5]=>1100010=>98
[8,6,1,7,2,3,4,5]=>1100010=>98
[1,6,8,7,2,3,4,5]=>0100001=>33
[1,7,8,6,2,3,4,5]=>0100010=>34
[7,8,1,6,2,3,4,5]=>1100000=>96
[6,8,1,7,2,3,4,5]=>1100000=>96
[4,8,2,1,7,3,5,6]=>1110000=>112
[3,2,8,1,7,4,5,6]=>1101000=>104
[3,2,1,8,7,4,5,6]=>1101001=>105
[5,1,8,2,7,3,4,6]=>1110000=>112
[6,1,8,7,2,3,4,5]=>1100001=>97
[8,1,7,6,2,3,4,5]=>1100010=>98
[1,8,7,6,2,3,4,5]=>0100011=>35
[6,3,5,1,2,4,8,7]=>1010001=>81
[4,3,5,6,1,2,8,7]=>1010001=>81
[8,3,7,5,2,1,4,6]=>1110100=>116
[6,3,7,5,1,8,4,2]=>1111100=>124
[6,5,2,7,1,8,3,4]=>1110100=>116
[8,5,2,7,4,1,3,6]=>1101100=>108
[2,6,1,5,4,3,8,7]=>1011001=>89
[6,4,3,5,1,2,8,7]=>1011001=>89
[5,3,1,4,6,2,8,7]=>1110001=>113
[3,1,4,6,5,2,8,7]=>1100101=>101
[5,7,4,6,2,8,3,1]=>1111000=>120
[8,1,4,7,2,6,3,5]=>1110000=>112
[3,4,7,8,5,2,1,6]=>1100100=>100
[2,1,8,5,7,3,4,6]=>1010100=>84
[8,6,3,5,1,7,4,2]=>1111010=>122
[5,8,2,4,6,7,3,1]=>1110000=>112
[3,4,8,6,5,7,1,2]=>1000110=>70
[7,5,4,8,1,6,3,2]=>1111100=>124
[5,1,4,6,8,2,7,3]=>1110000=>112
[2,5,4,6,7,1,8,3]=>1011000=>88
[2,4,6,3,7,5,8,1]=>1010100=>84
[4,1,6,3,8,5,7,2]=>1110100=>116
[3,7,4,2,8,6,5,1]=>1101110=>110
[7,4,1,3,5,8,6,2]=>1101010=>106
[6,5,8,4,1,7,3,2]=>1111100=>124
[8,5,3,7,4,1,6,2]=>1111100=>124
[2,1,4,8,3,7,6,5]=>1010110=>86
[7,4,3,8,2,1,6,5]=>1111100=>124
[6,3,7,4,1,8,2,5]=>1111000=>120
[8,3,1,2,5,7,6,4]=>1011010=>90
[3,1,8,2,7,6,5,4]=>1101110=>110
[2,3,8,1,6,7,5,4]=>1001100=>76
[4,3,7,2,6,8,5,1]=>1110100=>116
[4,7,2,3,8,5,6,1]=>1100100=>100
[3,8,2,1,7,5,6,4]=>1101100=>108
[2,8,1,3,6,5,7,4]=>1001100=>76
[2,7,8,5,4,3,1,6]=>1011100=>92
[8,7,1,6,3,4,2,5]=>1110001=>113
[3,8,6,7,2,4,1,5]=>1100010=>98
[5,3,8,7,4,2,6,1]=>1111001=>121
[4,3,8,7,2,1,6,5]=>1110101=>117
[8,3,6,1,4,2,7,5]=>1110100=>116
[7,3,5,8,2,4,1,6]=>1110000=>112
[2,3,4,1,8,5,7,6]=>1000110=>70
[4,1,3,2,6,7,8,5]=>1100100=>100
[8,3,5,6,2,7,1,4]=>1110000=>112
[5,3,6,1,8,7,2,4]=>1110001=>113
[5,6,2,8,7,4,1,3]=>1101001=>105
[7,8,5,6,1,4,2,3]=>1100100=>100
[2,8,6,5,4,7,1,3]=>1001110=>78
[8,1,6,4,5,7,2,3]=>1101000=>104
[5,8,3,6,1,7,2,4]=>1110000=>112
[2,1,8,6,5,7,3,4]=>1010110=>86
[2,1,7,5,3,6,8,4]=>1011100=>92
[6,7,3,5,2,1,8,4]=>1111000=>120
[7,1,4,2,5,6,8,3]=>1110000=>112
[2,7,4,1,6,5,8,3]=>1011100=>92
[4,6,1,2,8,7,3,5]=>1010001=>81
[2,4,1,5,8,7,6,3]=>1010011=>83
[4,1,2,5,8,6,7,3]=>1010010=>82
[6,4,2,1,5,8,7,3]=>1111001=>121
[8,5,2,4,6,1,7,3]=>1110100=>116
[7,5,3,2,6,8,1,4]=>1110100=>116
[2,1,5,3,6,8,7,4]=>1011001=>89
[7,3,5,4,6,1,8,2]=>1111000=>120
[6,3,4,1,5,7,8,2]=>1110000=>112
[4,3,1,5,7,6,8,2]=>1110010=>114
[3,1,4,5,6,8,7,2]=>1100001=>97
[4,5,2,6,3,1,8,7]=>1110001=>113
[6,5,2,1,4,3,8,7]=>1110101=>117
[6,5,2,7,4,8,3,1]=>1111100=>124
[8,5,2,7,4,1,6,3]=>1111100=>124
[8,3,7,5,2,1,6,4]=>1111100=>124
[6,3,7,5,2,8,4,1]=>1111100=>124
[3,1,6,5,4,2,8,7]=>1101101=>109
[5,6,3,2,4,1,8,7]=>1110001=>113
[3,6,2,4,1,5,8,7]=>1100001=>97
[2,6,1,3,5,4,8,7]=>1001001=>73
[6,7,2,3,4,8,5,1]=>1100100=>100
[8,7,2,3,4,1,6,5]=>1100101=>101
[5,1,7,3,8,4,6,2]=>1111000=>120
[2,5,7,3,8,6,4,1]=>1011010=>90
[7,6,1,3,5,8,4,2]=>1101010=>106
[3,6,7,4,1,8,5,2]=>1101100=>108
[5,6,3,7,4,8,1,2]=>1011000=>88
[2,1,6,7,4,8,5,3]=>1011100=>92
[2,1,8,7,4,3,6,5]=>1011101=>93
[5,8,3,7,4,2,6,1]=>1111000=>120
[3,8,7,4,1,2,6,5]=>1001101=>77
[7,8,1,3,5,2,6,4]=>1101000=>104
[5,8,7,3,2,6,1,4]=>1110001=>113
[2,8,6,3,1,5,7,4]=>1011010=>90
[8,1,6,3,2,5,4,7]=>1111000=>120
[2,8,4,1,6,3,7,5]=>1011100=>92
[4,8,1,2,7,6,3,5]=>1010010=>82
[3,8,4,2,5,7,1,6]=>1101000=>104
[6,8,3,5,2,7,4,1]=>1111000=>120
[2,1,5,3,8,7,6,4]=>1011011=>91
[6,5,3,2,8,7,1,4]=>1110101=>117
[7,5,2,4,8,1,6,3]=>1110100=>116
[3,4,2,8,5,7,6,1]=>1100110=>102
[2,4,1,8,7,6,5,3]=>1010111=>87
[8,4,2,1,7,5,3,6]=>1111100=>124
[4,3,1,8,6,7,5,2]=>1110110=>118
[3,1,4,8,6,5,7,2]=>1100110=>102
[7,1,6,5,4,8,2,3]=>1101100=>108
[3,7,5,6,8,4,2,1]=>1101100=>108
[5,7,1,6,8,2,4,3]=>1110000=>112
[8,6,2,5,1,7,4,3]=>1111010=>122
[5,6,2,1,8,7,3,4]=>1110001=>113
[4,6,2,5,8,3,7,1]=>1110000=>112
[7,5,2,6,3,8,1,4]=>1110100=>116
[4,1,2,3,6,8,7,5]=>1000101=>69
[2,4,3,1,8,5,6,7]=>1010100=>84
[7,5,2,8,3,4,6,1]=>1110100=>116
[5,6,2,8,4,3,1,7]=>1111000=>120
[4,7,2,8,1,5,3,6]=>1110000=>112
[8,7,2,1,4,5,6,3]=>1110001=>113
[3,6,8,7,1,5,4,2]=>1101001=>105
[5,7,8,6,3,4,1,2]=>1010010=>82
[7,1,8,5,4,3,6,2]=>1111100=>124
[2,7,8,4,5,3,6,1]=>1011000=>88
[5,7,3,8,1,4,6,2]=>1110000=>112
[2,1,7,8,5,4,6,3]=>1011100=>92
[2,1,5,8,4,6,3,7]=>1011000=>88
[6,5,3,8,4,1,2,7]=>1011100=>92
[7,5,8,4,3,6,2,1]=>1111100=>124
[2,4,8,3,5,6,1,7]=>1010000=>80
[4,1,8,3,6,5,2,7]=>1110100=>116
[3,4,8,1,7,2,5,6]=>1100000=>96
[8,4,1,3,7,2,6,5]=>1101100=>108
[3,1,8,2,4,7,6,5]=>1100110=>102
[2,3,8,1,4,6,7,5]=>1000100=>68
[4,3,8,2,5,1,7,6]=>1110010=>114
[6,3,8,4,2,5,7,1]=>1111000=>120
[7,4,3,8,2,5,1,6]=>1111000=>120
[2,1,4,8,3,5,7,6]=>1010010=>82
[6,8,2,4,3,5,1,7]=>1110000=>112
[4,8,2,3,5,1,6,7]=>1100000=>96
[3,8,2,1,4,6,5,7]=>1100100=>100
[2,8,1,3,4,5,7,6]=>1000010=>66
[2,8,4,1,6,5,3,7]=>1011100=>92
[2,8,4,1,6,5,7,3]=>1011100=>92
[2,8,7,6,1,4,3,5]=>1010011=>83
[2,8,5,6,7,4,3,1]=>1011100=>92
[7,5,8,6,1,4,2,3]=>1100110=>102
[3,5,7,6,1,4,2,8]=>1100010=>98
[3,5,7,2,4,1,6,8]=>1100000=>96
[7,5,8,2,4,1,6,3]=>1110100=>116
[2,8,5,3,4,7,6,1]=>1010110=>86
[2,8,5,3,4,1,7,6]=>1010110=>86
[2,8,5,3,4,1,6,7]=>1010100=>84
[2,8,7,6,1,4,5,3]=>1010011=>83
[2,8,5,3,6,1,7,4]=>1011100=>92
[2,8,5,6,7,4,1,3]=>1001100=>76
[2,8,5,3,4,7,1,6]=>1010100=>84
[2,8,5,3,4,6,1,7]=>1010100=>84
[2,8,5,3,4,6,7,1]=>1010100=>84
[3,5,7,2,4,6,1,8]=>1100000=>96
[6,5,2,7,3,1,4,8]=>1110100=>116
[6,5,2,8,3,1,7,4]=>1111100=>124
[6,5,2,8,3,1,4,7]=>1110100=>116
[7,5,8,2,4,6,3,1]=>1110100=>116
[7,5,8,6,1,4,3,2]=>1110110=>118
[6,5,8,2,1,3,7,4]=>1101100=>108
[3,5,6,2,1,8,7,4]=>1101001=>105
[3,5,7,6,1,4,8,2]=>1100010=>98
[3,5,7,2,4,1,8,6]=>1100010=>98
[3,5,7,2,4,6,8,1]=>1100000=>96
[6,5,2,7,3,1,8,4]=>1111100=>124
[4,5,2,6,3,1,7,8]=>1110000=>112
[4,1,2,3,7,6,8,5]=>1000110=>70
[6,5,2,7,3,4,8,1]=>1110100=>116
[5,1,6,7,4,3,8,2]=>1111000=>120
[5,1,2,6,4,8,7,3]=>1011001=>89
[5,1,2,8,6,4,7,3]=>1011010=>90
[5,1,6,8,7,3,4,2]=>1110001=>113
[6,5,2,8,3,7,4,1]=>1111100=>124
[4,1,2,3,8,7,5,6]=>1000101=>69
[4,1,2,3,8,6,5,7]=>1000110=>70
[4,1,2,3,8,6,7,5]=>1000110=>70
[4,1,2,3,7,6,5,8]=>1000110=>70
[4,1,2,3,8,5,7,6]=>1000110=>70
[7,1,6,8,4,3,5,2]=>1111000=>120
[6,1,2,8,4,5,7,3]=>1011000=>88
[5,6,8,2,3,1,7,4]=>1101000=>104
[6,5,8,2,4,3,1,7]=>1110100=>116
[6,5,8,2,4,3,7,1]=>1110100=>116
[7,5,2,8,3,4,1,6]=>1110100=>116
[6,5,2,8,3,7,1,4]=>1110100=>116
[6,5,2,7,3,4,1,8]=>1110100=>116
[5,1,6,7,4,3,2,8]=>1111000=>120
[5,1,6,8,7,3,2,4]=>1110001=>113
[7,1,6,8,4,3,2,5]=>1111000=>120
[5,7,8,6,3,4,2,1]=>1110010=>114
[4,1,8,3,6,5,7,2]=>1110100=>116
[4,1,8,3,6,2,7,5]=>1110100=>116
[3,1,4,8,6,2,7,5]=>1100110=>102
[3,1,4,8,6,5,2,7]=>1100110=>102
[7,1,6,5,8,3,2,4]=>1110100=>116
[4,1,6,7,8,3,2,5]=>1110000=>112
[4,1,6,5,7,3,2,8]=>1110100=>116
[4,5,2,6,3,7,1,8]=>1110000=>112
[4,5,2,7,3,8,1,6]=>1110000=>112
[3,5,6,2,4,8,7,1]=>1100001=>97
[3,5,6,2,4,8,1,7]=>1100000=>96
[3,7,5,6,8,4,1,2]=>1001100=>76
[3,6,5,2,8,1,7,4]=>1101100=>108
[6,1,2,5,8,4,7,3]=>1011000=>88
[7,1,6,5,8,3,4,2]=>1110100=>116
[7,5,2,6,3,8,4,1]=>1111100=>124
[4,1,2,3,5,8,7,6]=>1000011=>67
[4,1,2,3,7,8,6,5]=>1000110=>70
[4,5,2,7,3,8,6,1]=>1110010=>114
[4,1,6,7,8,3,5,2]=>1110000=>112
[4,1,2,6,8,5,7,3]=>1010100=>84
[4,1,2,5,6,8,7,3]=>1010001=>81
[4,5,2,6,3,7,8,1]=>1110000=>112
[7,8,5,6,1,4,3,2]=>1110100=>116
[7,8,4,2,1,5,3,6]=>1111000=>120
[7,8,2,1,6,5,3,4]=>1110100=>116
[6,4,1,2,5,7,3,8]=>1011000=>88
[2,4,8,1,5,7,3,6]=>1010000=>80
[4,3,8,1,7,2,5,6]=>1110000=>112
[6,3,1,4,7,2,5,8]=>1110000=>112
[7,8,3,4,5,1,6,2]=>1110000=>112
[7,8,3,5,4,2,1,6]=>1111000=>120
[7,8,4,1,2,3,6,5]=>1001100=>76
[7,8,3,6,5,4,1,2]=>1011100=>92
[7,8,2,1,5,3,4,6]=>1110000=>112
[7,8,2,6,4,1,3,5]=>1101000=>104
[7,8,2,5,6,4,1,3]=>1101000=>104
[7,8,1,6,5,4,3,2]=>1111100=>124
[6,2,1,7,5,4,3,8]=>1111100=>124
[2,1,8,7,5,4,3,6]=>1011101=>93
[1,3,8,2,6,4,7,5]=>0101100=>44
[5,3,7,1,6,4,8,2]=>1111000=>120
[5,3,6,2,7,4,1,8]=>1111000=>120
[6,1,2,5,8,7,4,3]=>1011001=>89
[6,3,1,8,4,2,7,5]=>1111100=>124
[6,4,2,1,5,3,8,7]=>1111001=>121
[6,4,3,7,5,8,1,2]=>1011100=>92
[4,3,8,7,5,6,1,2]=>1010101=>85
[2,4,7,1,5,3,6,8]=>1010000=>80
[1,3,7,6,4,2,8,5]=>0101110=>46
[2,1,7,5,6,8,4,3]=>1011100=>92
[3,7,2,8,6,4,1,5]=>1101010=>106
[3,8,1,7,6,4,5,2]=>1101010=>106
[1,8,5,7,3,6,4,2]=>0111100=>60
[2,7,5,8,3,6,1,4]=>1010100=>84
[1,5,6,8,2,4,7,3]=>0110000=>48
[2,6,8,5,3,1,4,7]=>1010100=>84
[2,6,1,4,7,3,5,8]=>1010000=>80
[5,6,7,3,8,4,1,2]=>1011000=>88
[5,2,8,1,4,7,3,6]=>1110000=>112
[4,6,7,5,2,1,3,8]=>1100100=>100
[4,5,6,7,2,8,1,3]=>1100000=>96
[4,5,7,6,1,8,3,2]=>1110010=>114
[1,5,8,6,2,7,3,4]=>0110010=>50
[1,6,5,8,3,2,7,4]=>0111100=>60
[4,6,5,7,1,2,8,3]=>1010100=>84
[4,7,5,6,3,1,8,2]=>1110100=>116
[5,1,6,3,4,2,8,7]=>1110001=>113
[5,7,1,4,2,3,8,6]=>1100010=>98
[5,7,6,4,3,8,1,2]=>1011010=>90
[6,3,4,5,8,7,1,2]=>1010001=>81
[6,2,4,1,8,3,7,5]=>1110100=>116
[6,2,3,5,4,8,1,7]=>1101000=>104
[6,1,3,4,5,8,7,2]=>1100001=>97
[5,1,4,2,7,6,8,3]=>1110010=>114
[1,6,2,4,7,8,3,5]=>0110000=>48
[5,7,2,4,1,6,3,8]=>1110000=>112
[6,1,4,2,8,5,3,7]=>1110100=>116
[6,7,5,8,1,4,3,2]=>1110100=>116
[5,8,7,6,3,4,1,2]=>1010011=>83
[5,8,7,6,2,3,1,4]=>1100011=>99
[4,1,7,2,6,5,3,8]=>1110100=>116
[4,8,2,1,5,6,3,7]=>1110000=>112
[4,2,7,8,1,6,3,5]=>1110000=>112
[2,1,8,7,6,5,3,4]=>1010111=>87
[3,1,4,7,8,2,6,5]=>1100100=>100
[3,1,7,4,5,6,8,2]=>1101000=>104
[4,2,7,1,6,3,8,5]=>1110100=>116
[4,3,7,5,6,8,1,2]=>1010100=>84
[4,8,6,3,5,7,1,2]=>1010010=>82
[4,8,1,2,5,3,7,6]=>1010010=>82
[3,8,6,5,2,4,1,7]=>1100110=>102
[3,8,5,6,1,4,7,2]=>1100100=>100
[5,3,7,8,2,1,6,4]=>1111000=>120
[5,2,8,7,1,6,4,3]=>1111001=>121
[1,6,8,7,5,2,4,3]=>0110101=>53
[3,6,7,8,5,1,4,2]=>1100100=>100
[3,7,6,8,5,2,1,4]=>1100110=>102
[3,7,8,5,1,2,4,6]=>1000100=>68
[3,7,1,6,4,2,5,8]=>1101000=>104
[4,1,8,6,2,3,5,7]=>1100010=>98
[4,7,8,6,3,5,1,2]=>1010010=>82
[3,8,7,6,5,4,1,2]=>1001111=>79
[2,1,7,6,5,3,4,8]=>1010110=>86
[2,8,1,6,4,5,3,7]=>1011000=>88
[2,8,7,5,1,4,3,6]=>1010101=>85
[2,8,6,7,5,1,3,4]=>1000110=>70
[2,7,8,6,5,4,1,3]=>1001110=>78
[6,3,1,2,7,4,8,5]=>1011100=>92
[6,4,2,7,1,3,8,5]=>1101100=>108
[7,4,2,5,1,3,8,6]=>1101010=>106
[7,5,3,6,1,8,2,4]=>1110100=>116
[8,5,3,6,1,7,2,4]=>1110100=>116
[8,3,6,2,4,7,1,5]=>1110000=>112
[7,3,6,2,4,8,1,5]=>1110000=>112
[4,3,7,1,2,5,8,6]=>1010010=>82
[3,6,2,7,1,4,8,5]=>1100100=>100
[5,3,6,7,1,2,8,4]=>1011000=>88
[6,3,7,4,1,2,8,5]=>1011100=>92
[4,7,1,5,2,3,8,6]=>1100010=>98
[3,7,5,1,2,4,8,6]=>1000110=>70
[7,6,4,2,3,8,1,5]=>1101010=>106
[8,6,4,2,3,7,1,5]=>1101010=>106
[4,7,6,3,8,1,2,5]=>1010010=>82
[5,7,4,2,3,8,1,6]=>1101000=>104
[3,7,6,1,4,8,2,5]=>1100010=>98
[5,7,2,6,1,8,3,4]=>1110000=>112
[6,4,7,5,2,8,1,3]=>1101100=>108
[7,4,8,5,2,6,1,3]=>1101100=>108
[5,8,2,6,3,7,1,4]=>1110000=>112
[3,8,6,1,2,7,4,5]=>1001010=>74
[3,8,6,2,4,7,1,5]=>1100010=>98
[6,8,4,3,7,1,2,5]=>1011000=>88
[6,8,5,3,7,1,2,4]=>1010100=>84
[3,8,5,7,1,2,4,6]=>1000100=>68
[2,8,5,7,1,3,4,6]=>1000100=>68
[4,8,6,2,7,1,3,5]=>1100010=>98
[7,3,8,5,6,1,2,4]=>1010100=>84
[6,3,7,5,8,1,2,4]=>1010100=>84
[2,7,6,4,8,1,3,5]=>1001010=>74
[2,6,5,8,1,3,4,7]=>1000100=>68
[3,6,5,8,1,2,4,7]=>1000100=>68
[2,5,7,4,8,1,3,6]=>1001000=>72
[5,4,6,7,2,8,1,3]=>1101000=>104
[4,6,3,7,1,8,2,5]=>1110000=>112
[3,5,7,1,4,8,2,6]=>1100000=>96
[5,3,7,2,4,8,1,6]=>1110000=>112
[5,4,7,3,8,1,2,6]=>1011000=>88
[7,4,6,3,8,1,2,5]=>1011000=>88
[8,4,6,3,7,1,2,5]=>1011000=>88
[8,4,1,6,7,2,3,5]=>1101000=>104
[7,4,1,6,8,2,3,5]=>1101000=>104
[5,4,1,7,8,2,3,6]=>1101000=>104
[6,5,3,7,1,8,2,4]=>1110100=>116
[6,5,1,2,7,8,3,4]=>1010100=>84
[5,3,6,4,7,8,1,2]=>1011000=>88
[6,3,7,4,8,5,1,2]=>1011100=>92
[4,7,1,5,8,6,2,3]=>1100010=>98
[7,5,1,2,8,6,3,4]=>1010110=>86
[7,5,3,8,1,6,2,4]=>1110100=>116
[7,4,1,8,6,2,3,5]=>1101010=>106
[7,6,1,8,5,2,3,4]=>1100110=>102
[8,6,1,7,5,2,3,4]=>1100110=>102
[5,7,2,8,1,6,3,4]=>1110000=>112
[6,4,7,8,2,5,1,3]=>1101000=>104
[6,3,7,8,5,1,2,4]=>1010100=>84
[3,6,8,2,7,1,4,5]=>1100000=>96
[2,4,8,7,1,3,5,6]=>1000001=>65
[4,3,8,7,1,2,5,6]=>1010001=>81
[5,3,8,7,1,2,4,6]=>1010001=>81
[8,3,7,6,1,2,4,5]=>1010010=>82
[8,4,7,6,1,2,3,5]=>1001010=>74
[5,4,8,7,1,2,3,6]=>1001001=>73
[3,5,8,7,1,2,4,6]=>1000001=>65
[2,5,8,7,1,3,4,6]=>1000001=>65
[4,6,8,2,7,1,3,5]=>1100000=>96
[4,7,1,8,6,2,3,5]=>1100010=>98
[7,5,8,6,4,1,2,3]=>1001110=>78
[6,8,4,7,5,1,2,3]=>1001100=>76
[5,8,7,1,6,2,3,4]=>1100001=>97
[2,8,7,6,1,3,4,5]=>1000011=>67
[3,8,7,6,1,2,4,5]=>1000011=>67
[4,8,7,6,1,2,3,5]=>1000011=>67
[5,6,3,1,4,2,8,7]=>1110001=>113
[7,5,3,8,2,1,6,4]=>1111100=>124
[3,8,7,4,5,1,6,2]=>1101001=>105
[6,7,1,4,5,8,2,3]=>1100000=>96
[2,1,7,8,5,3,6,4]=>1011100=>92
[5,7,3,8,1,2,6,4]=>1011000=>88
[8,7,1,4,5,3,2,6]=>1110001=>113
[2,7,8,4,1,6,5,3]=>1011100=>92
[7,1,8,4,2,6,5,3]=>1111100=>124
[7,5,1,4,8,6,3,2]=>1110110=>118
[6,5,3,1,8,4,7,2]=>1111100=>124
[6,4,3,8,1,5,7,2]=>1111000=>120
[8,6,3,1,2,5,7,4]=>1011010=>90
[8,7,1,4,2,6,5,3]=>1110101=>117
[7,3,8,4,1,6,5,2]=>1111100=>124
[2,3,4,5,6,7,8,1,9]=>10000000=>128
[2,3,4,5,6,8,9,1,7]=>10000000=>128
[2,3,4,5,7,8,9,1,6]=>10000000=>128
[2,3,4,6,7,8,9,1,5]=>10000000=>128
[2,3,5,6,7,8,9,1,4]=>10000000=>128
[2,4,5,6,7,8,9,1,3]=>10000000=>128
[3,4,5,6,7,8,9,1,2]=>10000000=>128
[2,3,4,5,6,7,8,9,10,1]=>100000000=>256
[2,3,4,5,6,7,8,9,1,10]=>100000000=>256
[2,3,4,5,6,7,1,8,9]=>10000000=>128
[2,3,4,5,6,7,8,10,1,9]=>100000000=>256
[2,3,4,5,6,1,9,7,8]=>10000010=>130
[2,3,4,5,6,7,9,10,1,8]=>100000000=>256
[2,3,4,5,1,8,9,6,7]=>10000100=>132
[2,3,4,5,6,8,9,10,1,7]=>100000000=>256
[2,3,4,1,7,8,9,5,6]=>10001000=>136
[2,3,4,5,7,8,9,10,1,6]=>100000000=>256
[2,3,1,6,7,8,9,4,5]=>10010000=>144
[2,3,4,6,7,8,9,10,1,5]=>100000000=>256
[2,1,5,6,7,8,9,3,4]=>10100000=>160
[2,3,5,6,7,8,9,10,1,4]=>100000000=>256
[1,4,5,6,7,8,9,2,3]=>01000000=>64
[2,4,5,6,7,8,9,10,1,3]=>100000000=>256
[3,4,5,6,7,8,9,10,1,2]=>100000000=>256
[3,6,4,5,7,2,8,1]=>1101000=>104
[5,3,2,7,4,6,8,1]=>1111000=>120
[7,5,3,6,2,4,8,1]=>1110100=>116
[6,3,2,5,1,8,4,7]=>1111000=>120
[8,5,3,6,2,7,1,4]=>1110100=>116
[8,2,6,3,4,7,1,5]=>1110000=>112
[7,2,6,3,4,5,8,1]=>1110000=>112
[6,2,7,3,4,5,8,1]=>1110000=>112
[3,6,2,7,4,5,8,1]=>1101000=>104
[4,2,5,7,3,6,8,1]=>1110000=>112
[5,4,7,6,2,3,8,1]=>1101010=>106
[6,7,3,5,2,4,8,1]=>1110000=>112
[3,7,6,2,4,5,8,1]=>1100010=>98
[2,7,6,3,4,5,8,1]=>1010010=>82
[6,5,3,1,2,8,4,7]=>1011100=>92
[8,6,5,2,3,7,1,4]=>1100110=>102
[8,5,2,1,7,3,4,6]=>1110100=>116
[7,5,2,1,8,3,4,6]=>1110100=>116
[1,6,3,2,8,4,5,7]=>0111000=>56
[5,7,3,1,2,8,4,6]=>1011000=>88
[5,6,2,3,1,8,4,7]=>1101000=>104
[4,2,6,5,1,8,3,7]=>1110100=>116
[5,4,8,6,2,7,1,3]=>1101010=>106
[6,8,3,5,2,7,1,4]=>1110000=>112
[7,8,5,2,3,6,1,4]=>1100100=>100
[6,8,2,1,7,3,4,5]=>1110000=>112
[1,8,6,3,7,2,4,5]=>0110010=>50
[1,8,2,7,3,4,5,6]=>0110000=>48
[2,8,1,7,3,4,5,6]=>1010000=>80
[3,8,6,1,7,2,4,5]=>1100010=>98
[4,8,1,5,7,2,3,6]=>1100000=>96
[4,2,8,3,7,1,5,6]=>1110000=>112
[4,1,7,5,8,2,3,6]=>1100100=>100
[1,7,3,8,2,4,5,6]=>0110000=>48
[8,1,2,7,3,4,5,6]=>1010000=>80
[4,2,5,7,1,8,3,6]=>1110000=>112
[3,6,2,7,1,8,4,5]=>1101000=>104
[6,3,7,1,2,8,4,5]=>1011000=>88
[7,2,6,1,8,3,4,5]=>1110000=>112
[8,2,6,1,7,3,4,5]=>1110000=>112
[7,3,1,5,8,2,4,6]=>1110000=>112
[3,2,1,5,8,4,6,7]=>1101000=>104
[5,4,1,3,6,8,2,7]=>1101000=>104
[1,5,3,4,6,8,2,7]=>0110000=>48
[4,3,5,1,6,8,2,7]=>1110000=>112
[5,4,6,3,8,7,1,2]=>1011001=>89
[3,6,4,5,8,7,1,2]=>1001001=>73
[6,5,3,4,8,7,1,2]=>1010101=>85
[5,3,2,8,7,1,4,6]=>1110001=>113
[5,3,1,8,7,2,4,6]=>1110001=>113
[8,5,3,7,6,1,2,4]=>1010110=>86
[6,1,8,3,7,2,4,5]=>1110000=>112
[6,3,8,1,7,2,4,5]=>1110000=>112
[7,6,8,2,3,5,1,4]=>1100010=>98
[3,7,8,2,4,6,1,5]=>1100000=>96
[6,7,3,8,2,5,1,4]=>1110000=>112
[5,4,7,8,2,6,1,3]=>1101000=>104
[4,2,5,8,7,1,3,6]=>1100001=>97
[3,6,2,8,7,1,4,5]=>1100001=>97
[3,7,8,1,6,2,4,5]=>1100000=>96
[2,3,8,7,1,4,5,6]=>1000001=>65
[7,2,8,6,1,3,4,5]=>1100010=>98
[2,1,8,7,3,4,5,6]=>1010001=>81
[8,2,7,6,1,3,4,5]=>1100010=>98
[1,2,8,7,3,4,5,6]=>0010001=>17
[1,3,8,7,2,4,5,6]=>0100001=>33
[1,7,8,3,6,2,4,5]=>0110000=>48
[4,1,5,8,7,2,3,6]=>1100001=>97
[5,4,8,7,6,1,2,3]=>1001011=>75
[6,8,3,7,5,1,2,4]=>1010100=>84
[7,8,6,2,5,1,3,4]=>1100010=>98
[8,1,6,7,3,2,5,4]=>1111000=>120
[8,1,6,7,3,2,4,5]=>1110000=>112
[8,1,5,3,7,2,4,6]=>1110000=>112
[8,1,5,3,6,2,4,7]=>1110000=>112
[7,5,1,3,6,2,4,8]=>1100100=>100
[7,5,8,3,6,2,4,1]=>1110100=>116
[7,4,8,3,2,6,5,1]=>1111100=>124
[7,4,1,3,2,6,5,8]=>1101100=>108
[8,1,4,3,2,6,5,7]=>1110100=>116
[8,1,4,3,2,7,5,6]=>1110100=>116
[8,1,4,3,2,7,6,5]=>1110110=>118
[8,1,5,4,6,7,2,3]=>1101000=>104
[8,1,5,3,6,2,7,4]=>1111000=>120
[8,1,4,3,2,6,7,5]=>1110100=>116
[8,1,4,3,2,5,7,6]=>1110010=>114
[8,1,4,3,2,5,6,7]=>1110000=>112
[7,4,1,3,2,5,6,8]=>1101000=>104
[7,4,8,3,2,5,6,1]=>1111000=>120
[6,4,3,8,2,5,7,1]=>1111000=>120
[6,4,3,1,2,5,8,7]=>1011001=>89
[7,4,1,3,2,5,8,6]=>1101010=>106
[7,4,1,3,2,6,8,5]=>1101100=>108
[7,5,1,3,6,2,8,4]=>1101100=>108
[7,5,1,4,6,8,2,3]=>1100100=>100
[7,5,8,3,6,2,1,4]=>1110100=>116
[7,4,8,3,2,6,1,5]=>1111000=>120
[7,4,8,3,2,5,1,6]=>1111000=>120
[6,4,3,8,2,5,1,7]=>1111000=>120
[6,4,3,7,2,5,8,1]=>1111000=>120
[5,4,3,2,8,6,1,7]=>1111010=>122
[5,4,3,2,8,7,1,6]=>1111001=>121
[6,5,3,8,7,2,1,4]=>1110101=>117
[6,5,4,8,7,1,2,3]=>1001101=>77
[6,5,4,1,7,8,2,3]=>1101100=>108
[6,5,3,1,7,2,8,4]=>1111100=>124
[6,4,3,1,2,7,8,5]=>1011100=>92
[5,4,3,2,1,8,6,7]=>1111010=>122
[6,5,3,1,8,2,7,4]=>1111100=>124
[6,5,4,1,8,7,2,3]=>1101101=>109
[7,5,1,4,8,6,2,3]=>1100110=>102
[7,4,1,3,2,8,6,5]=>1101110=>110
[7,4,1,3,2,8,5,6]=>1101100=>108
[6,4,3,1,2,8,5,7]=>1011100=>92
[6,4,3,1,2,7,5,8]=>1011100=>92
[6,4,3,8,2,7,5,1]=>1111100=>124
[6,5,3,8,7,2,4,1]=>1110101=>117
[6,5,3,1,7,2,4,8]=>1110100=>116
[6,5,3,1,8,2,4,7]=>1110100=>116
[7,5,1,3,8,2,4,6]=>1100100=>100
[7,6,1,8,3,2,4,5]=>1110010=>114
[7,6,1,8,4,5,2,3]=>1101010=>106
[7,6,8,1,4,5,2,3]=>1100010=>98
[7,6,8,1,3,2,5,4]=>1101010=>106
[6,5,3,7,8,2,4,1]=>1110100=>116
[6,4,3,7,2,8,5,1]=>1111100=>124
[6,4,3,7,2,1,5,8]=>1111000=>120
[7,4,8,3,2,1,5,6]=>1111000=>120
[7,4,8,3,2,1,6,5]=>1111100=>124
[7,5,8,3,1,2,6,4]=>1011100=>92
[7,5,8,4,1,6,2,3]=>1101100=>108
[6,5,4,8,1,7,2,3]=>1101100=>108
[6,5,3,8,1,2,7,4]=>1011100=>92
[5,4,3,2,8,1,7,6]=>1111010=>122
[6,4,3,7,2,1,8,5]=>1111100=>124
[6,5,3,7,1,2,8,4]=>1011100=>92
[6,5,4,7,1,8,2,3]=>1101100=>108
[6,5,3,7,8,2,1,4]=>1110100=>116
[6,4,3,7,2,8,1,5]=>1111000=>120
[5,4,3,2,7,8,1,6]=>1111000=>120
[5,4,3,2,6,8,1,7]=>1111000=>120
[5,6,2,1,3,4,8,7]=>1100001=>97
[5,8,2,7,4,1,3,6]=>1101000=>104
[5,3,7,8,2,1,4,6]=>1110000=>112
[7,6,1,2,5,8,3,4]=>1010010=>82
[2,1,7,8,4,3,5,6]=>1011000=>88
[8,3,7,4,1,5,6,2]=>1111000=>120
[7,8,1,2,5,4,6,3]=>1011000=>88
[2,6,8,3,1,4,7,5]=>1010100=>84
[6,1,8,3,2,4,5,7]=>1110000=>112
[8,4,1,3,7,6,2,5]=>1101010=>106
[5,8,7,4,2,1,6,3]=>1111001=>121
[7,5,1,6,8,3,4,2]=>1110100=>116
[6,5,2,1,8,7,4,3]=>1111101=>125
[4,7,2,8,1,3,6,5]=>1100100=>100
[7,3,8,6,1,2,5,4]=>1011010=>90
[3,4,7,1,8,2,6,5]=>1100100=>100
[1,8,2,4,3,5,6,7]=>0110000=>48
[1,7,2,4,3,5,6,8]=>0110000=>48
[1,6,2,4,3,5,7,8]=>0110000=>48
[1,5,2,4,3,6,7,8]=>0110000=>48
[1,6,2,5,3,4,7,8]=>0110000=>48
[1,7,2,5,3,4,6,8]=>0110000=>48
[1,8,2,5,3,4,6,7]=>0110000=>48
[1,8,2,6,3,4,5,7]=>0110000=>48
[1,7,2,6,3,4,5,8]=>0110000=>48
[1,8,2,7,3,5,4,6]=>0111000=>56
[1,7,2,8,3,5,4,6]=>0111000=>56
[1,6,2,8,3,5,4,7]=>0111000=>56
[1,5,2,8,3,6,4,7]=>0111000=>56
[1,4,2,8,3,6,5,7]=>0110100=>52
[1,3,2,8,4,6,5,7]=>0101100=>44
[1,2,3,8,4,6,5,7]=>0001100=>12
[1,2,3,7,4,6,5,8]=>0001100=>12
[1,3,2,7,4,6,5,8]=>0101100=>44
[1,4,2,7,3,6,5,8]=>0110100=>52
[1,5,2,7,3,6,4,8]=>0111000=>56
[1,6,2,7,3,5,4,8]=>0111000=>56
[1,7,2,6,3,5,4,8]=>0111000=>56
[1,8,2,6,3,5,4,7]=>0111000=>56
[1,8,2,5,3,6,4,7]=>0111000=>56
[1,7,2,5,3,6,4,8]=>0111000=>56
[1,6,2,5,3,7,4,8]=>0111000=>56
[1,5,2,4,3,7,6,8]=>0110010=>50
[1,6,2,4,3,7,5,8]=>0110100=>52
[1,7,2,4,3,6,5,8]=>0110100=>52
[1,8,2,4,3,6,5,7]=>0110100=>52
[1,8,2,3,4,6,5,7]=>0100100=>36
[1,7,2,3,4,6,5,8]=>0100100=>36
[1,8,2,3,4,7,5,6]=>0100100=>36
[1,8,2,4,3,7,5,6]=>0110100=>52
[1,7,2,4,3,8,5,6]=>0110100=>52
[1,6,2,4,3,8,5,7]=>0110100=>52
[1,5,2,4,3,8,6,7]=>0110010=>50
[1,6,2,5,3,8,4,7]=>0111000=>56
[1,7,2,5,3,8,4,6]=>0111000=>56
[1,8,2,5,3,7,4,6]=>0111000=>56
[1,8,2,6,3,7,4,5]=>0111000=>56
[1,7,2,6,3,8,4,5]=>0111000=>56
[1,2,3,8,4,7,5,6]=>0001100=>12
[1,3,2,8,4,7,5,6]=>0101100=>44
[1,4,2,8,3,7,5,6]=>0110100=>52
[1,5,2,8,3,7,4,6]=>0111000=>56
[1,6,2,8,3,7,4,5]=>0111000=>56
[1,7,2,8,3,6,4,5]=>0111000=>56
[1,8,2,7,3,6,4,5]=>0111000=>56
[4,6,3,7,2,5,1,8]=>1110000=>112
[4,6,3,7,5,2,1,8]=>1110100=>116
[4,6,3,8,5,1,7,2]=>1110100=>116
[4,6,3,8,5,1,2,7]=>1010100=>84
[5,6,8,3,4,1,2,7]=>1010000=>80
[5,6,8,3,4,1,7,2]=>1110000=>112
[4,6,2,7,5,3,1,8]=>1110100=>116
[5,6,7,2,4,3,1,8]=>1110000=>112
[5,6,8,4,3,1,7,2]=>1111000=>120
[5,6,8,4,3,1,2,7]=>1011000=>88
[5,7,8,4,1,6,2,3]=>1101000=>104
[5,7,8,4,1,6,3,2]=>1111000=>120
[5,7,8,4,1,3,6,2]=>1101000=>104
[5,6,8,4,2,1,7,3]=>1111000=>120
[5,6,8,2,4,1,7,3]=>1110000=>112
[4,6,2,8,5,1,7,3]=>1110100=>116
[3,2,6,8,5,1,7,4]=>1101100=>108
[3,2,6,8,5,1,4,7]=>1100100=>100
[4,6,2,8,5,1,3,7]=>1100100=>100
[5,6,8,2,4,1,3,7]=>1100000=>96
[5,6,8,4,2,1,3,7]=>1101000=>104
[5,7,8,4,1,3,2,6]=>1101000=>104
[5,7,8,4,1,2,6,3]=>1011000=>88
[5,7,8,4,1,2,3,6]=>1001000=>72
[6,7,8,1,5,2,3,4]=>1100000=>96
[6,7,8,1,5,2,4,3]=>1110000=>112
[6,7,8,1,5,3,2,4]=>1110000=>112
[6,7,8,1,3,5,2,4]=>1100000=>96
[5,7,8,2,1,6,3,4]=>1110000=>112
[4,7,2,8,1,6,3,5]=>1110000=>112
[3,2,7,8,1,6,4,5]=>1101000=>104
[3,2,7,8,1,6,5,4]=>1101100=>108
[4,7,2,8,1,6,5,3]=>1110100=>116
[5,7,8,2,1,6,4,3]=>1111000=>120
[6,7,8,1,3,5,4,2]=>1101000=>104
[6,7,8,1,5,3,4,2]=>1110000=>112
[6,7,8,1,5,4,3,2]=>1111000=>120
[6,7,8,1,5,4,2,3]=>1101000=>104
[6,7,8,1,4,5,2,3]=>1100000=>96
[6,7,8,1,4,5,3,2]=>1110000=>112
[6,7,8,1,4,3,5,2]=>1110000=>112
[6,7,8,1,3,4,5,2]=>1100000=>96
[5,7,8,2,1,4,6,3]=>1110000=>112
[4,7,2,8,1,5,6,3]=>1110000=>112
[3,2,7,8,1,5,6,4]=>1101000=>104
[3,2,6,8,4,1,7,5]=>1101100=>108
[4,6,2,8,3,1,7,5]=>1110100=>116
[5,6,8,3,2,1,7,4]=>1111000=>120
[5,7,8,3,1,4,6,2]=>1110000=>112
[5,7,8,3,1,6,4,2]=>1111000=>120
[5,7,8,3,1,6,2,4]=>1110000=>112
[4,7,3,8,1,6,2,5]=>1110000=>112
[4,7,3,8,1,6,5,2]=>1110100=>116
[4,7,3,8,1,5,6,2]=>1110000=>112
[4,6,3,8,2,1,7,5]=>1110100=>116
[4,5,3,2,8,1,7,6]=>1110010=>114
[4,5,2,3,8,1,7,6]=>1100010=>98
[3,2,5,4,8,1,7,6]=>1101010=>106
[4,5,3,2,8,1,6,7]=>1110000=>112
[4,6,3,8,2,1,5,7]=>1110000=>112
[4,7,3,8,1,5,2,6]=>1110000=>112
[4,7,3,8,1,2,6,5]=>1010100=>84
[4,7,3,8,1,2,5,6]=>1010000=>80
[5,7,8,3,1,2,4,6]=>1010000=>80
[5,7,8,3,1,2,6,4]=>1011000=>88
[5,7,8,3,1,4,2,6]=>1110000=>112
[5,6,8,3,2,1,4,7]=>1110000=>112
[3,2,7,8,1,5,4,6]=>1101000=>104
[5,7,8,2,1,4,3,6]=>1110000=>112
[6,7,8,1,3,4,2,5]=>1100000=>96
[6,7,8,1,4,3,2,5]=>1110000=>112
[6,7,8,1,4,2,5,3]=>1110000=>112
[6,7,8,1,4,2,3,5]=>1100000=>96
[6,7,8,1,2,5,3,4]=>1010000=>80
[6,7,8,1,2,5,4,3]=>1011000=>88
[6,7,8,1,2,4,5,3]=>1010000=>80
[6,7,8,1,3,2,5,4]=>1101000=>104
[5,7,8,2,1,3,6,4]=>1101000=>104
[3,2,7,8,1,4,6,5]=>1100100=>100
[6,7,8,1,3,2,4,5]=>1100000=>96
[6,7,8,1,2,4,3,5]=>1010000=>80
[6,7,8,1,2,3,5,4]=>1001000=>72
[7,2,8,5,1,6,4,3]=>1111100=>124
[1,3,7,5,2,6,4,8]=>0101100=>44
[1,3,7,5,4,2,6,8]=>0101100=>44
[7,2,8,5,4,1,6,3]=>1111100=>124
[2,8,5,4,3,1,7,6]=>1011110=>94
[2,8,4,5,6,1,7,3]=>1011000=>88
[2,8,6,5,7,3,1,4]=>1010110=>86
[2,8,4,5,3,7,1,6]=>1011000=>88
[2,8,4,3,5,6,1,7]=>1011000=>88
[7,2,8,4,5,6,1,3]=>1101000=>104
[1,6,3,7,5,2,4,8]=>0110100=>52
[6,2,3,8,5,1,7,4]=>1101100=>108
[6,3,2,8,5,1,4,7]=>1110100=>116
[7,4,8,2,5,6,3,1]=>1111000=>120
[7,4,8,5,2,1,3,6]=>1101100=>108
[6,4,8,5,1,3,7,2]=>1101100=>108
[6,3,7,5,2,1,8,4]=>1111100=>124
[4,3,7,5,1,2,8,6]=>1010110=>86
[4,3,7,1,5,6,8,2]=>1110000=>112
[3,6,1,7,5,2,8,4]=>1101100=>108
[3,4,1,2,7,6,8,5]=>1000110=>70
[3,4,2,1,7,5,8,6]=>1100110=>102
[3,6,5,7,1,4,8,2]=>1100100=>100
[6,5,2,7,4,1,8,3]=>1111100=>124
[3,5,2,6,4,8,7,1]=>1101001=>105
[5,3,1,8,6,4,7,2]=>1111010=>122
[5,6,1,8,7,2,4,3]=>1110001=>113
[6,3,5,8,2,7,4,1]=>1111000=>120
[6,5,8,4,2,3,7,1]=>1101100=>108
[6,2,5,8,3,7,1,4]=>1110000=>112
[1,6,5,7,3,4,2,8]=>0110100=>52
[1,5,2,7,4,6,3,8]=>0111000=>56
[5,2,1,8,7,6,3,4]=>1110011=>115
[7,1,3,8,4,6,2,5]=>1101000=>104
[2,3,4,8,6,1,7,5]=>1000110=>70
[2,3,4,8,6,5,1,7]=>1000110=>70
[2,7,3,5,8,6,1,4]=>1010010=>82
[3,2,4,7,8,6,1,5]=>1100010=>98
[1,5,4,6,2,7,3,8]=>0111000=>56
[5,2,4,7,1,8,3,6]=>1110000=>112
[5,3,6,4,1,8,7,2]=>1111001=>121
[5,3,6,1,4,8,2,7]=>1110000=>112
[7,3,5,6,8,4,2,1]=>1111000=>120
[6,3,5,1,8,2,7,4]=>1111000=>120
[2,6,1,5,8,4,7,3]=>1011000=>88
[2,7,6,5,8,3,4,1]=>1010110=>86
[5,7,1,6,3,8,4,2]=>1111000=>120
[3,2,4,1,7,8,5,6]=>1100100=>100
[3,1,4,2,7,8,6,5]=>1100110=>102
[5,1,4,7,2,8,6,3]=>1110010=>114
[3,6,4,7,8,2,5,1]=>1101000=>104
[3,1,4,6,8,5,7,2]=>1100100=>100
[6,3,4,5,7,1,8,2]=>1110000=>112
[2,5,4,6,1,7,8,3]=>1011000=>88
[7,2,1,4,3,6,5,8]=>1110100=>116
[7,3,4,1,2,6,5,8]=>1010100=>84
[7,4,3,2,1,6,5,8]=>1111100=>124
[7,6,3,2,5,4,1,8]=>1111010=>122
[6,7,3,2,5,4,8,1]=>1111000=>120
[1,8,3,2,5,4,7,6]=>0111010=>58
[1,8,4,5,2,3,7,6]=>0101010=>42
[7,3,5,1,6,2,4,8]=>1110000=>112
[7,2,1,5,6,3,4,8]=>1110000=>112
[7,2,1,6,5,4,3,8]=>1111100=>124
[7,3,6,1,5,4,2,8]=>1111000=>120
[7,4,6,5,1,3,2,8]=>1101100=>108
[1,8,5,4,3,2,7,6]=>0111110=>62
[1,8,6,4,3,7,2,5]=>0111010=>58
[6,5,7,4,3,1,8,2]=>1111100=>124
[6,4,7,5,1,3,8,2]=>1101100=>108
[6,3,7,1,5,4,8,2]=>1111000=>120
[6,2,1,7,5,4,8,3]=>1111100=>124
[3,2,1,8,5,4,7,6]=>1101110=>110
[2,3,8,1,5,4,7,6]=>1001010=>74
[2,4,8,5,1,3,7,6]=>1000110=>70
[2,5,8,4,3,1,7,6]=>1011010=>90
[2,6,8,4,3,7,1,5]=>1011000=>88
[2,7,8,4,3,6,5,1]=>1011100=>92
[1,8,7,4,3,6,5,2]=>0111101=>61
[1,8,7,5,6,3,4,2]=>0110101=>53
[2,7,8,5,6,3,4,1]=>1010100=>84
[2,6,8,5,7,3,1,4]=>1010100=>84
[2,5,8,6,7,1,3,4]=>1000010=>66
[2,4,8,6,1,7,3,5]=>1010010=>82
[3,2,1,8,6,7,4,5]=>1101010=>106
[5,2,1,7,6,8,4,3]=>1111010=>122
[5,3,7,1,6,8,4,2]=>1111000=>120
[5,4,7,6,1,8,3,2]=>1111010=>122
[4,5,7,6,8,1,3,2]=>1100010=>98
[4,6,7,5,8,3,1,2]=>1010100=>84
[1,8,6,5,7,3,2,4]=>0110110=>54
[1,8,5,6,7,2,3,4]=>0100100=>36
[4,7,5,6,8,2,3,1]=>1100100=>100
[4,6,5,7,8,2,1,3]=>1100100=>100
[5,4,6,7,1,8,2,3]=>1101000=>104
[5,3,6,1,7,8,2,4]=>1110000=>112
[5,2,1,6,7,8,3,4]=>1110000=>112
[6,2,1,5,7,3,8,4]=>1111000=>120
[6,3,5,1,7,2,8,4]=>1111000=>120
[6,4,5,7,1,2,8,3]=>1011000=>88
[6,5,4,7,2,1,8,3]=>1111100=>124
[5,6,4,7,2,8,1,3]=>1101000=>104
[1,8,4,6,2,7,3,5]=>0111000=>56
[1,8,3,2,6,7,4,5]=>0111000=>56
[5,7,3,2,6,8,4,1]=>1111000=>120
[5,6,3,2,7,8,1,4]=>1110000=>112
[6,5,3,2,7,1,8,4]=>1111100=>124
[6,4,3,2,1,7,8,5]=>1111100=>124
[6,2,1,4,3,7,8,5]=>1110100=>116
[5,2,1,4,3,8,7,6]=>1110011=>115
[5,3,4,1,2,8,7,6]=>1010011=>83
[4,6,3,2,8,7,1,5]=>1110001=>113
[4,7,3,2,8,6,5,1]=>1110110=>118
[1,8,3,2,7,6,5,4]=>0111110=>62
[1,8,4,7,2,6,5,3]=>0111100=>60
[3,7,4,8,2,6,5,1]=>1101100=>108
[3,6,4,8,2,7,1,5]=>1101000=>104
[3,5,4,8,2,1,7,6]=>1101010=>106
[3,4,5,8,1,2,7,6]=>1000010=>66
[4,3,5,1,8,2,7,6]=>1110010=>114
[4,2,1,5,8,3,7,6]=>1110010=>114
[4,2,1,6,8,7,3,5]=>1110001=>113
[4,3,6,1,8,7,2,5]=>1110001=>113
[3,4,6,8,1,7,2,5]=>1100000=>96
[3,5,6,8,7,1,2,4]=>1000001=>65
[3,6,5,8,7,2,1,4]=>1100101=>101
[3,7,5,8,6,2,4,1]=>1100110=>102
[1,8,5,7,6,2,4,3]=>0110110=>54
[1,8,6,7,5,4,2,3]=>0101110=>46
[3,6,7,8,5,4,1,2]=>1001100=>76
[3,5,7,8,6,1,4,2]=>1100010=>98
[3,4,7,8,1,6,5,2]=>1100100=>100
[4,2,1,7,8,6,5,3]=>1110110=>118
[2,3,8,1,7,6,5,4]=>1001110=>78
[2,4,8,7,1,6,5,3]=>1010101=>85
[2,5,8,7,6,1,4,3]=>1010011=>83
[2,6,8,7,5,4,1,3]=>1001101=>77
[7,4,6,1,8,3,5,2]=>1111000=>120
[8,3,5,1,7,4,6,2]=>1111000=>120
[8,3,4,1,7,5,6,2]=>1110100=>116
[4,8,3,1,7,5,6,2]=>1110100=>116
[4,6,2,1,7,5,8,3]=>1110100=>116
[1,4,6,2,7,5,8,3]=>0110100=>52
[1,7,5,2,6,8,4,3]=>0111100=>60
[7,5,2,1,6,8,4,3]=>1111100=>124
[6,8,4,3,1,7,5,2]=>1111100=>124
[3,6,8,4,1,7,5,2]=>1101100=>108
[3,6,7,5,1,8,4,2]=>1101100=>108
[7,5,6,1,8,3,4,2]=>1110100=>116
[3,4,6,5,7,1,8,2]=>1100100=>100
[4,7,5,6,1,8,3,2]=>1110100=>116
[6,7,5,1,8,4,3,2]=>1111100=>124
[6,8,4,1,7,5,3,2]=>1111100=>124
[6,7,5,3,1,8,4,2]=>1111100=>124
[8,4,2,1,6,7,5,3]=>1111100=>124
[1,8,4,2,6,7,5,3]=>0111100=>60
[1,5,3,2,7,6,8,4]=>0111010=>58
[5,3,2,1,7,6,8,4]=>1111010=>122
[2,5,3,1,7,6,8,4]=>1011010=>90
[2,8,4,1,6,7,5,3]=>1011100=>92
[2,7,5,1,6,8,4,3]=>1011100=>92
[2,4,6,1,7,5,8,3]=>1010100=>84
[4,7,1,6,5,8,2,3]=>1100100=>100
[4,8,2,6,5,7,1,3]=>1100100=>100
[4,6,1,2,7,5,8,3]=>1010100=>84
[7,5,1,2,6,8,4,3]=>1011100=>92
[8,4,1,2,6,7,5,3]=>1011100=>92
[5,3,1,2,7,6,8,4]=>1011010=>90
[1,2,5,3,7,6,8,4]=>0011010=>26
[4,3,1,2,7,6,8,5]=>1010110=>86
[3,5,1,2,7,6,8,4]=>1001010=>74
[6,7,1,5,8,2,3,4]=>1100000=>96
[2,7,6,1,5,8,3,4]=>1010010=>82
[2,3,5,1,7,6,8,4]=>1001010=>74
[7,6,1,5,8,3,2,4]=>1110010=>114
[3,6,7,1,5,8,2,4]=>1100000=>96
[7,1,6,5,8,2,4,3]=>1110100=>116
[7,5,1,6,8,4,2,3]=>1101100=>108
[8,4,1,6,7,5,2,3]=>1101100=>108
[5,2,3,1,7,6,8,4]=>1101010=>106
[3,5,2,1,7,6,8,4]=>1101010=>106
[1,3,5,2,7,6,8,4]=>0101010=>42
[1,7,6,2,5,8,3,4]=>0110010=>50
[7,6,2,1,5,8,3,4]=>1110010=>114
[8,3,1,5,7,6,2,4]=>1110010=>114
[6,2,4,1,7,5,8,3]=>1110100=>116
[6,2,5,1,7,4,8,3]=>1111000=>120
[7,1,6,4,8,2,5,3]=>1111000=>120
[8,2,6,4,7,1,5,3]=>1111000=>120
[6,1,5,2,7,4,8,3]=>1111000=>120
[7,6,2,5,8,3,1,4]=>1110010=>114
[8,3,5,7,6,2,1,4]=>1110010=>114
[1,8,3,5,7,6,2,4]=>0110010=>50
[1,5,2,3,7,6,8,4]=>0101010=>42
[5,2,1,3,7,6,8,4]=>1101010=>106
[7,5,2,6,8,4,1,3]=>1101100=>108
[8,4,2,6,7,5,1,3]=>1101100=>108
[6,1,4,2,7,5,8,3]=>1110100=>116
[8,2,6,5,7,1,4,3]=>1110100=>116
[3,6,8,2,5,7,1,4]=>1100000=>96
[8,3,2,5,7,6,1,4]=>1110010=>114
[5,1,3,2,7,6,8,4]=>1101010=>106
[4,1,3,2,7,6,8,5]=>1100110=>102
[4,2,1,3,7,6,8,5]=>1100110=>102
[1,4,2,3,7,6,8,5]=>0100110=>38
[2,4,1,3,7,6,8,5]=>1000110=>70
[2,5,1,3,7,6,8,4]=>1001010=>74
[2,8,3,5,7,6,1,4]=>1010010=>82
[6,8,2,3,5,7,1,4]=>1100000=>96
[6,7,1,3,5,8,2,4]=>1100000=>96
[8,3,5,7,6,1,2,4]=>1010010=>82
[5,1,2,3,7,6,8,4]=>1001010=>74
[3,1,2,4,7,6,8,5]=>1000110=>70
[10,8,9,5,6,7,1,2,3,4]=>100010010=>274
[10,8,9,4,5,6,1,2,3,7]=>100100010=>290
[10,7,8,5,6,9,1,2,3,4]=>100010100=>276
[10,7,8,4,5,9,1,2,3,6]=>100100100=>292
[10,6,7,4,5,8,1,2,3,9]=>100101000=>296
[10,7,8,3,4,9,1,2,5,6]=>101000100=>324
[10,6,7,3,4,8,1,2,5,9]=>101001000=>328
[9,8,10,5,6,7,1,2,3,4]=>100010010=>274
[9,8,10,4,5,6,1,2,3,7]=>100100010=>290
[9,7,10,5,6,8,1,2,3,4]=>100010100=>276
[9,7,10,4,5,8,1,2,3,6]=>100100100=>292
[9,6,10,4,5,7,1,2,3,8]=>100101000=>296
[9,7,10,3,4,8,1,2,5,6]=>101000100=>324
[9,6,10,3,4,7,1,2,5,8]=>101001000=>328
[8,7,9,5,6,10,1,2,3,4]=>100010100=>276
[8,7,9,4,5,10,1,2,3,6]=>100100100=>292
[8,6,9,4,5,10,1,2,3,7]=>100101000=>296
[7,6,8,4,5,9,1,2,3,10]=>100101000=>296
[8,7,9,3,4,10,1,2,5,6]=>101000100=>324
[8,6,9,3,4,10,1,2,5,7]=>101001000=>328
[7,6,8,3,4,9,1,2,5,10]=>101001000=>328
[9,6,10,5,7,8,1,2,3,4]=>100011000=>280
[9,6,10,4,7,8,1,2,3,5]=>100101000=>296
[9,5,10,4,6,7,1,2,3,8]=>100110000=>304
[9,6,10,3,7,8,1,2,4,5]=>101001000=>328
[9,5,10,3,6,7,1,2,4,8]=>101010000=>336
[8,6,9,5,7,10,1,2,3,4]=>100011000=>280
[8,6,9,4,7,10,1,2,3,5]=>100101000=>296
[8,5,9,4,6,10,1,2,3,7]=>100110000=>304
[7,5,8,4,6,9,1,2,3,10]=>100110000=>304
[8,6,9,3,7,10,1,2,4,5]=>101001000=>328
[8,5,9,3,6,10,1,2,4,7]=>101010000=>336
[7,5,8,3,6,9,1,2,4,10]=>101010000=>336
[8,4,9,3,5,10,1,2,6,7]=>101100000=>352
[7,4,8,3,5,9,1,2,6,10]=>101100000=>352
[9,6,10,2,7,8,1,3,4,5]=>110001000=>392
[9,5,10,2,6,7,1,3,4,8]=>110010000=>400
[8,6,9,2,7,10,1,3,4,5]=>110001000=>392
[8,5,9,2,6,10,1,3,4,7]=>110010000=>400
[7,5,8,2,6,9,1,3,4,10]=>110010000=>400
[8,4,9,2,5,10,1,3,6,7]=>110100000=>416
[7,4,8,2,5,9,1,3,6,10]=>110100000=>416
[8,1,2,4,3,6,5,7]=>1010100=>84
[8,1,3,5,6,2,7,4]=>1101000=>104
[8,1,3,4,2,6,7,5]=>1100100=>100
[8,1,3,2,4,5,7,6]=>1100010=>98
[2,7,8,3,4,5,6,1]=>1010000=>80
[2,6,3,8,4,5,7,1]=>1011000=>88
[6,3,2,1,4,5,8,7]=>1110001=>113
[7,3,1,4,2,6,8,5]=>1110100=>116
[7,4,1,5,6,8,2,3]=>1101000=>104
[4,7,8,5,6,1,2,3]=>1000100=>68
[3,7,8,5,6,2,1,4]=>1100100=>100
[3,7,8,4,2,6,1,5]=>1101000=>104
[3,7,8,2,4,5,1,6]=>1100000=>96
[3,6,2,8,4,5,1,7]=>1101000=>104
[2,3,6,7,4,5,8,1]=>1001000=>72
[3,5,2,4,8,6,1,7]=>1100010=>98
[3,5,4,2,8,7,1,6]=>1101001=>105
[4,6,5,8,7,1,2,3]=>1000101=>69
[6,4,5,1,7,8,2,3]=>1101000=>104
[7,4,1,2,3,8,5,6]=>1001100=>76
[6,2,4,1,3,7,5,8]=>1100100=>100
[2,6,4,8,3,7,5,1]=>1011100=>92
[2,6,5,8,7,3,4,1]=>1010101=>85
[6,2,5,1,7,3,4,8]=>1110000=>112
[6,5,2,1,8,3,4,7]=>1110100=>116
[2,5,6,7,8,3,4,1]=>1010000=>80
[2,4,6,7,3,8,5,1]=>1010100=>84
[4,2,6,7,3,1,5,8]=>1110000=>112
[4,7,8,2,3,1,5,6]=>1100000=>96
[4,7,8,3,2,1,6,5]=>1110100=>116
[5,6,4,8,1,7,2,3]=>1101000=>104
[5,6,3,8,1,2,7,4]=>1011000=>88
[4,2,5,3,7,1,6,8]=>1110000=>112
[4,3,6,7,2,1,8,5]=>1110100=>116
[3,4,6,7,2,8,1,5]=>1100000=>96
[3,4,5,2,7,8,1,6]=>1100000=>96
[3,4,2,5,6,8,1,7]=>1100000=>96
[5,2,7,8,6,4,1,3]=>1101010=>106
[5,1,2,7,8,6,4,3]=>1011010=>90
[4,7,1,8,6,5,2,3]=>1100110=>102
[4,7,1,2,8,6,5,3]=>1010110=>86
[4,6,8,1,2,7,5,3]=>1010100=>84
[6,8,7,1,5,3,2,4]=>1110001=>113
[6,8,7,3,5,1,2,4]=>1010001=>81
[7,8,1,6,3,5,2,4]=>1110000=>112
[7,8,1,3,6,5,2,4]=>1100100=>100
[7,8,3,6,5,2,1,4]=>1110100=>116
[4,7,2,8,6,1,5,3]=>1110010=>114
[1,7,3,4,8,6,5,2]=>0110110=>54
[4,2,7,1,8,6,5,3]=>1110110=>118
[7,8,2,3,6,5,1,4]=>1100100=>100
[8,5,7,1,6,2,3,4]=>1100100=>100
[8,5,7,1,2,6,3,4]=>1010100=>84
[6,8,2,7,1,3,5,4]=>1101000=>104
[6,8,7,2,5,3,1,4]=>1110001=>113
[6,2,4,8,7,1,5,3]=>1110001=>113
[1,6,8,3,7,4,5,2]=>0111000=>56
[1,6,8,3,4,7,5,2]=>0110100=>52
[6,2,4,8,1,7,5,3]=>1110100=>116
[6,8,7,2,3,5,1,4]=>1100001=>97
[6,8,2,1,7,3,5,4]=>1111000=>120
[8,5,7,2,1,6,3,4]=>1110100=>116
[8,5,7,1,2,3,6,4]=>1001100=>76
[8,7,6,2,1,4,3,5]=>1110011=>115
[8,5,7,2,3,1,6,4]=>1101100=>108
[5,8,4,2,7,1,6,3]=>1111000=>120
[1,8,7,5,3,4,6,2]=>0110101=>53
[1,8,7,3,5,4,6,2]=>0111001=>57
[8,2,5,4,7,1,6,3]=>1111000=>120
[8,5,2,7,3,1,6,4]=>1111100=>124
[8,7,6,2,4,3,1,5]=>1110011=>115
[8,7,6,1,2,4,3,5]=>1010011=>83
[8,7,6,1,4,2,3,5]=>1100011=>99
[8,7,6,4,1,3,2,5]=>1101011=>107
[5,8,4,7,2,1,6,3]=>1111000=>120
[1,8,7,5,4,3,6,2]=>0111101=>61
[1,6,8,4,3,7,5,2]=>0111100=>60
[6,8,7,3,2,5,1,4]=>1110001=>113
[6,8,1,7,3,2,5,4]=>1111000=>120
[8,5,7,3,1,6,2,4]=>1110100=>116
[8,5,7,1,3,2,6,4]=>1101100=>108
[8,5,7,3,1,2,6,4]=>1011100=>92
[5,8,4,7,1,2,6,3]=>1011000=>88
[5,8,4,1,7,2,6,3]=>1111000=>120
[5,8,4,7,1,6,2,3]=>1101000=>104
[8,1,2,6,5,7,4,3]=>1011100=>92
[8,2,5,6,7,4,1,3]=>1101000=>104
[4,8,5,7,1,6,2,3]=>1100100=>100
[4,8,5,7,1,2,6,3]=>1010100=>84
[4,8,5,1,7,2,6,3]=>1110100=>116
[8,5,3,1,7,2,6,4]=>1111100=>124
[8,5,3,7,1,2,6,4]=>1011100=>92
[6,8,1,3,7,2,5,4]=>1101000=>104
[4,6,2,8,1,7,5,3]=>1110100=>116
[1,6,4,8,3,7,5,2]=>0111100=>60
[1,8,7,4,5,3,6,2]=>0111001=>57
[4,8,5,7,2,1,6,3]=>1110100=>116
[8,5,3,7,2,1,6,4]=>1111100=>124
[8,7,6,3,1,4,2,5]=>1110011=>115
[8,7,6,1,3,2,4,5]=>1100011=>99
[8,5,3,2,7,1,6,4]=>1111100=>124
[4,8,5,2,7,1,6,3]=>1110100=>116
[1,8,7,4,3,5,6,2]=>0111001=>57
[1,8,7,3,4,5,6,2]=>0110001=>49
[8,2,4,5,7,1,6,3]=>1110000=>112
[8,5,2,3,7,1,6,4]=>1101100=>108
[6,3,1,5,4,2,8,7]=>1111001=>121
[8,3,1,5,2,7,6,4]=>1111010=>122
[8,5,4,2,1,7,3,6]=>1111100=>124
[8,5,4,2,1,7,6,3]=>1111110=>126
[6,5,4,2,1,3,8,7]=>1101101=>109
[6,5,4,2,3,1,8,7]=>1101101=>109
[6,3,2,5,1,4,8,7]=>1110001=>113
[6,5,4,3,1,2,8,7]=>1011101=>93
[6,5,4,1,3,2,8,7]=>1101101=>109
[8,5,4,1,2,7,6,3]=>1011110=>94
[8,7,4,1,6,3,2,5]=>1111001=>121
[8,7,4,1,6,3,5,2]=>1111001=>121
[8,7,4,1,6,5,3,2]=>1111101=>125
[8,5,4,1,3,7,6,2]=>1101110=>110
[8,5,4,3,1,7,6,2]=>1111110=>126
[8,3,2,5,1,7,6,4]=>1111010=>122
[2,1,8,5,3,7,6,4]=>1011110=>94
[8,3,2,5,1,7,4,6]=>1111000=>120
[8,5,4,3,1,7,2,6]=>1111100=>124
[8,5,4,1,3,7,2,6]=>1101100=>108
[8,7,4,1,6,5,2,3]=>1101101=>109
[8,7,4,1,6,2,5,3]=>1111001=>121
[8,7,6,5,2,1,4,3]=>1110111=>119
[8,7,4,3,6,2,1,5]=>1111001=>121
[8,3,2,7,6,4,1,5]=>1111010=>122
[2,1,8,7,6,4,3,5]=>1011011=>91
[2,1,8,7,6,4,5,3]=>1011011=>91
[8,3,2,7,6,4,5,1]=>1111010=>122
[8,7,4,3,6,2,5,1]=>1111001=>121
[8,7,6,5,2,4,3,1]=>1110111=>119
[8,5,4,2,3,7,6,1]=>1101110=>110
[8,7,4,2,6,5,3,1]=>1111101=>125
[8,7,4,2,6,3,5,1]=>1111001=>121
[8,7,4,2,6,3,1,5]=>1111001=>121
[8,3,1,7,6,4,2,5]=>1111010=>122
[8,3,1,7,6,4,5,2]=>1111010=>122
[8,3,1,7,6,5,4,2]=>1111110=>126
[8,3,1,5,4,7,6,2]=>1111010=>122
[8,3,1,5,4,7,2,6]=>1111000=>120
[8,3,1,7,6,5,2,4]=>1110110=>118
[8,3,1,7,6,2,5,4]=>1111010=>122
[8,7,4,2,6,1,5,3]=>1111001=>121
[8,7,4,2,6,5,1,3]=>1101101=>109
[8,5,4,2,3,7,1,6]=>1101100=>108
[8,3,2,5,4,7,1,6]=>1111000=>120
[2,1,8,5,4,7,3,6]=>1011100=>92
[8,3,2,7,6,5,1,4]=>1110110=>118
[8,7,4,3,6,5,1,2]=>1011101=>93
[8,7,6,5,3,1,4,2]=>1110111=>119
[8,7,6,5,1,3,2,4]=>1100111=>103
[8,7,6,5,1,3,4,2]=>1100111=>103
[8,7,6,5,1,4,3,2]=>1110111=>119
[8,7,6,5,4,1,3,2]=>1101111=>111
[8,7,4,3,6,1,5,2]=>1111001=>121
[8,3,2,7,6,1,5,4]=>1111010=>122
[2,1,8,7,6,3,5,4]=>1011011=>91
[8,3,2,7,6,1,4,5]=>1110010=>114
[8,7,6,5,1,4,2,3]=>1100111=>103
[8,7,6,5,1,2,4,3]=>1010111=>87
[7,3,5,1,8,4,6,2]=>1111000=>120
[7,3,4,1,8,5,6,2]=>1110100=>116
[4,5,6,2,1,8,7,3]=>1110001=>113
[1,6,5,2,7,4,3,8]=>0111100=>60
[7,4,3,1,8,6,5,2]=>1111110=>126
[7,6,5,1,8,4,3,2]=>1111110=>126
[7,6,4,1,8,5,3,2]=>1111110=>126
[6,4,2,1,8,7,5,3]=>1111101=>125
[1,6,4,2,7,5,3,8]=>0111100=>60
[1,5,3,2,7,6,4,8]=>0111010=>58
[5,3,2,1,8,7,6,4]=>1111011=>123
[2,5,3,1,7,8,6,4]=>1011010=>90
[2,6,4,1,7,8,5,3]=>1011100=>92
[2,6,5,1,7,8,4,3]=>1011100=>92
[4,5,7,1,6,8,2,3]=>1100000=>96
[6,5,1,2,8,4,3,7]=>1011100=>92
[6,4,1,2,8,5,3,7]=>1011100=>92
[5,3,1,2,8,6,4,7]=>1011010=>90
[4,3,1,2,8,6,5,7]=>1010110=>86
[6,1,2,5,8,3,4,7]=>1010000=>80
[7,1,3,4,8,2,5,6]=>1100000=>96
[7,1,5,6,8,2,3,4]=>1100000=>96
[2,6,1,5,7,8,3,4]=>1010000=>80
[7,4,1,6,8,5,2,3]=>1101100=>108
[5,2,3,1,8,6,7,4]=>1101010=>106
[3,5,2,1,6,8,7,4]=>1101001=>105
[1,6,2,5,7,3,4,8]=>0110000=>48
[6,2,1,5,8,7,3,4]=>1110001=>113
[7,3,1,5,8,6,2,4]=>1110010=>114
[6,2,4,1,8,5,7,3]=>1110100=>116
[6,2,5,1,8,4,7,3]=>1111000=>120
[7,3,1,4,8,6,2,5]=>1110010=>114
[6,2,1,4,8,7,3,5]=>1110001=>113
[1,6,2,4,7,3,5,8]=>0110000=>48
[5,2,1,3,8,7,4,6]=>1101001=>105
[7,4,1,3,8,5,2,6]=>1101100=>108
[7,5,1,3,8,4,2,6]=>1101100=>108
[3,6,7,1,4,8,2,5]=>1100000=>96
[7,6,1,4,8,3,2,5]=>1110010=>114
[4,2,1,3,8,7,5,6]=>1100101=>101
[2,6,1,4,7,8,3,5]=>1010000=>80
[7,1,4,6,8,2,3,5]=>1100000=>96
[7,1,3,5,8,2,4,6]=>1100000=>96
[6,1,2,4,8,3,5,7]=>1010000=>80
[7,4,5,2,3,1,8,6]=>1101010=>106
[8,6,7,3,5,2,4,1]=>1110010=>114
[6,3,5,2,4,1,8,7]=>1110001=>113
[4,1,6,3,5,2,8,7]=>1110001=>113
[5,2,6,3,4,1,8,7]=>1110001=>113
[5,2,7,3,4,1,8,6]=>1110010=>114
[5,2,8,6,7,3,4,1]=>1110010=>114
[6,2,8,5,7,3,4,1]=>1110100=>116
[6,2,7,3,4,1,8,5]=>1110100=>116
[4,1,7,3,5,2,8,6]=>1110010=>114
[3,1,7,4,5,2,8,6]=>1101010=>106
[3,1,8,6,7,4,5,2]=>1101010=>106
[4,1,8,6,7,3,5,2]=>1110010=>114
[8,6,7,3,4,1,5,2]=>1110010=>114
[8,5,7,3,4,1,6,2]=>1110100=>116
[8,5,6,2,7,3,4,1]=>1110100=>116
[8,4,7,3,5,1,6,2]=>1111000=>120
[5,1,8,4,7,3,6,2]=>1111000=>120
[4,1,8,5,7,3,6,2]=>1110100=>116
[2,1,8,5,7,4,6,3]=>1011100=>92
[2,1,7,4,6,3,8,5]=>1011100=>92
[4,1,7,3,6,2,8,5]=>1110100=>116
[5,1,7,3,6,2,8,4]=>1111000=>120
[6,2,7,3,5,1,8,4]=>1111000=>120
[6,2,8,4,7,3,5,1]=>1111000=>120
[8,4,7,3,6,2,5,1]=>1111000=>120
[7,3,6,2,5,1,8,4]=>1111000=>120
[6,2,5,1,7,3,8,4]=>1111000=>120
[5,2,4,1,7,3,8,6]=>1110010=>114
[6,2,4,1,7,3,8,5]=>1110100=>116
[8,5,7,3,6,2,4,1]=>1110100=>116
[8,5,7,4,6,2,3,1]=>1101100=>108
[4,2,3,1,7,5,8,6]=>1100110=>102
[3,1,4,2,8,6,7,5]=>1100110=>102
[8,5,6,2,3,1,7,4]=>1101100=>108
[7,4,8,5,6,2,3,1]=>1101100=>108
[7,3,8,5,6,2,4,1]=>1110100=>116
[8,5,6,2,4,1,7,3]=>1110100=>116
[3,1,5,2,8,6,7,4]=>1101010=>106
[2,1,6,3,8,5,7,4]=>1011100=>92
[3,1,6,2,8,5,7,4]=>1101100=>108
[4,1,6,2,8,5,7,3]=>1110100=>116
[5,1,6,2,8,4,7,3]=>1111000=>120
[8,4,6,2,5,1,7,3]=>1111000=>120
[7,3,8,4,6,2,5,1]=>1111000=>120
[6,2,7,3,8,4,5,1]=>1111000=>120
[8,4,5,1,6,2,7,3]=>1111000=>120
[5,1,8,4,6,2,7,3]=>1111000=>120
[4,1,8,5,6,2,7,3]=>1110100=>116
[3,1,8,5,6,2,7,4]=>1101100=>108
[2,1,7,4,8,5,6,3]=>1011100=>92
[4,1,7,3,8,5,6,2]=>1110100=>116
[7,3,8,4,5,1,6,2]=>1111000=>120
[8,4,5,1,7,3,6,2]=>1111000=>120
[7,3,6,2,8,4,5,1]=>1111000=>120
[7,8,5,6,1,3,4,2]=>1100100=>100
[7,8,1,3,6,2,5,4]=>1101000=>104
[1,3,8,4,7,2,5,6]=>0101000=>40
[3,6,1,4,7,2,5,8]=>1100000=>96
[4,6,1,2,5,7,3,8]=>1010000=>80
[1,4,8,2,5,7,3,6]=>0110000=>48
[7,8,2,4,5,6,1,3]=>1100000=>96
[7,8,1,5,4,6,3,2]=>1111000=>120
[7,8,2,1,6,3,4,5]=>1110000=>112
[7,8,3,5,6,4,1,2]=>1011000=>88
[7,8,1,4,2,3,6,5]=>1100100=>100
[7,8,5,1,4,2,6,3]=>1110100=>116
[7,8,4,5,3,1,6,2]=>1111000=>120
[1,5,8,4,3,2,7,6]=>0111010=>58
[5,6,1,4,3,2,7,8]=>1110000=>112
[2,6,4,8,3,7,1,5]=>1011000=>88
[1,4,6,8,3,7,5,2]=>0110100=>52
[2,4,8,5,3,1,6,7]=>1010100=>84
[2,5,8,1,4,7,6,3]=>1010010=>82
[3,5,8,4,7,6,1,2]=>1001010=>74
[1,6,2,4,7,3,8,5]=>0110100=>52
[5,6,2,1,4,7,8,3]=>1110000=>112
[4,6,2,5,3,1,8,7]=>1110001=>113
[4,7,5,1,3,6,8,2]=>1100100=>100
[7,5,3,6,2,4,1,8]=>1110100=>116
[5,7,3,6,1,4,8,2]=>1110000=>112
[5,3,6,7,2,1,8,4]=>1111000=>120
[6,1,7,5,2,4,8,3]=>1110100=>116
[6,3,1,2,4,5,8,7]=>1010001=>81
[1,4,7,2,5,3,8,6]=>0110010=>50
[4,6,7,8,3,5,1,2]=>1010000=>80
[3,6,1,8,4,2,5,7]=>1101000=>104
[1,6,7,5,8,2,4,3]=>0110100=>52
[3,5,6,7,8,1,4,2]=>1100000=>96
[3,6,5,7,8,2,1,4]=>1100100=>100
[5,2,7,6,1,4,3,8]=>1110010=>114
[2,5,7,6,8,1,3,4]=>1000010=>66
[2,7,5,6,8,4,1,3]=>1001100=>76
[2,1,6,8,4,5,3,7]=>1011000=>88
[2,7,1,8,5,3,4,6]=>1010100=>84
[3,7,6,8,5,4,1,2]=>1001110=>78
[4,3,8,5,6,7,1,2]=>1010100=>84
[4,2,8,1,6,3,7,5]=>1110100=>116
[3,1,8,5,4,6,7,2]=>1101100=>108
[3,2,8,4,5,6,1,7]=>1101000=>104
[3,4,2,8,6,1,7,5]=>1100110=>102
[3,4,7,1,5,2,6,8]=>1100000=>96
[4,3,7,8,1,2,6,5]=>1010100=>84
[1,7,3,8,5,2,6,4]=>0111100=>60
[4,1,8,3,6,2,5,7]=>1110000=>112
[5,7,8,6,3,2,1,4]=>1110010=>114
[5,7,8,6,1,3,4,2]=>1100010=>98
[7,6,5,8,1,3,4,2]=>1100110=>102
[1,6,4,3,8,2,5,7]=>0111000=>56
[7,1,3,4,8,2,6,5]=>1100100=>100
[3,6,5,4,1,2,7,8]=>1001100=>76
[2,4,5,1,7,8,6,3]=>1010010=>82
[2,6,3,4,5,8,1,7]=>1010000=>80
[2,6,4,1,8,3,7,5]=>1011100=>92
[7,3,6,4,8,5,1,2]=>1011100=>92
[7,2,1,4,8,3,5,6]=>1110000=>112
[7,1,6,5,3,8,4,2]=>1111100=>124
[7,2,5,6,3,8,1,4]=>1110000=>112
[6,5,2,7,1,8,4,3]=>1111100=>124
[5,6,2,7,3,1,4,8]=>1110000=>112
[5,6,7,4,2,8,1,3]=>1101000=>104
[5,7,6,4,1,8,3,2]=>1111010=>122
[6,7,1,5,2,8,3,4]=>1110000=>112
[1,7,5,2,4,8,3,6]=>0110100=>52
[6,1,5,2,8,3,4,7]=>1110000=>112
[6,7,5,3,8,4,1,2]=>1011100=>92
[1,6,5,4,2,3,8,7]=>0101101=>45
[7,1,5,3,4,2,8,6]=>1110010=>114
[7,6,1,5,3,2,8,4]=>1111010=>122
[7,5,6,4,1,2,8,3]=>1011100=>92
[6,7,5,4,3,1,8,2]=>1111100=>124
[7,5,2,4,3,1,6,8]=>1110100=>116
[7,4,6,1,2,5,3,8]=>1011000=>88
[7,1,4,2,5,3,6,8]=>1110000=>112
[6,8,1,4,2,5,7,3]=>1110000=>112
[1,6,4,2,5,7,3,8]=>0111000=>56
[1,6,3,7,5,4,2,8]=>0111100=>60
[6,8,1,3,7,5,4,2]=>1101100=>108
[7,1,3,5,6,4,2,8]=>1101000=>104
[7,3,1,6,4,5,2,8]=>1111000=>120
[7,4,2,6,5,1,3,8]=>1101100=>108
[7,4,6,3,1,5,2,8]=>1111000=>120
[7,2,4,1,5,3,6,8]=>1110000=>112
[7,2,3,5,4,1,6,8]=>1101000=>104
[6,8,1,2,3,4,7,5]=>1000100=>68
[1,5,7,2,3,8,6,4]=>0101010=>42
[5,1,8,2,3,6,7,4]=>1101000=>104
[5,8,2,3,7,6,4,1]=>1101010=>106
[6,2,8,1,3,7,4,5]=>1101000=>104
[6,8,2,3,5,4,7,1]=>1101000=>104
[6,8,2,4,1,5,7,3]=>1110000=>112
[6,8,3,1,2,4,7,5]=>1010100=>84
[2,6,4,1,5,7,3,8]=>1011000=>88
[2,6,3,5,7,1,4,8]=>1010000=>80
[2,5,1,7,8,3,6,4]=>1011000=>88
[2,5,3,6,8,4,7,1]=>1011000=>88
[2,1,4,7,8,5,6,3]=>1010100=>84
[2,4,7,6,8,5,1,3]=>1000110=>70
[2,5,3,7,6,1,8,4]=>1011010=>90
[2,5,7,8,1,4,6,3]=>1010000=>80
[3,5,7,4,1,6,2,8]=>1101000=>104
[5,3,4,1,8,6,7,2]=>1110010=>114
[5,2,8,4,6,1,7,3]=>1111000=>120
[5,2,1,8,6,3,7,4]=>1111010=>122
[4,2,8,6,5,3,7,1]=>1110110=>118
[4,2,8,5,7,6,3,1]=>1110110=>118
[1,4,2,7,5,8,6,3]=>0110110=>54
[4,1,8,6,7,5,3,2]=>1110110=>118
[5,3,8,7,6,2,4,1]=>1110011=>115
[5,8,4,7,6,2,1,3]=>1101010=>106
[5,8,7,4,3,6,1,2]=>1011001=>89
[6,4,8,3,1,7,2,5]=>1111000=>120
[6,4,2,8,7,1,3,5]=>1101001=>105
[6,3,8,7,2,5,1,4]=>1110001=>113
[5,8,3,7,1,6,4,2]=>1111000=>120
[5,1,3,8,6,7,2,4]=>1100010=>98
[1,5,3,7,8,6,2,4]=>0110010=>50
[1,5,7,6,4,2,8,3]=>0111010=>58
[5,8,7,4,1,6,2,3]=>1101001=>105
[6,4,8,1,2,7,3,5]=>1011000=>88
[6,8,5,1,2,3,7,4]=>1001100=>76
[6,8,5,2,4,3,7,1]=>1110100=>116
[6,8,5,3,1,2,7,4]=>1011100=>92
[4,5,1,2,7,6,3,8]=>1010010=>82
[4,5,1,2,6,8,7,3]=>1010001=>81
[3,5,6,1,8,4,7,2]=>1101000=>104
[3,5,7,1,2,8,6,4]=>1001010=>74
[3,6,2,7,5,1,4,8]=>1100100=>100
[4,2,6,1,7,3,5,8]=>1110000=>112
[4,6,3,1,2,7,5,8]=>1010100=>84
[4,5,3,1,7,6,2,8]=>1110010=>114
[4,2,5,7,1,6,3,8]=>1110000=>112
[3,5,2,7,8,1,6,4]=>1101000=>104
[3,1,4,7,5,6,2,8]=>1100100=>100
[3,4,6,5,8,7,1,2]=>1000101=>69
[3,1,4,5,8,6,7,2]=>1100010=>98
[3,4,6,8,5,2,7,1]=>1100100=>100
[3,5,6,2,8,4,7,1]=>1101000=>104
[4,2,5,6,1,8,7,3]=>1110001=>113
[4,5,3,1,6,8,7,2]=>1110001=>113
[2,1,7,5,8,6,4,3]=>1011110=>94
[1,2,7,5,3,8,6,4]=>0011110=>30
[4,1,2,7,3,8,6,5]=>1010110=>86
[6,4,1,7,5,2,3,8]=>1101100=>108
[6,1,3,7,5,2,4,8]=>1100100=>100
[3,1,2,6,8,5,4,7]=>1001100=>76
[3,7,1,2,5,4,8,6]=>1001010=>74
[1,3,7,2,4,8,6,5]=>0100110=>38
[2,4,1,7,8,6,5,3]=>1010110=>86
[3,4,7,5,1,8,6,2]=>1100110=>102
[2,7,4,1,5,8,6,3]=>1011010=>90
[2,3,7,1,5,8,6,4]=>1001010=>74
[5,2,8,1,3,7,4,6]=>1101000=>104
[2,1,6,8,3,4,7,5]=>1010100=>84
[2,6,8,3,1,5,7,4]=>1011000=>88
[2,8,6,4,1,5,7,3]=>1011010=>90
[3,6,4,8,5,1,7,2]=>1101100=>108
[6,3,7,4,5,1,8,2]=>1111000=>120
[2,6,3,7,5,8,1,4]=>1010100=>84
[5,2,1,7,8,3,4,6]=>1110000=>112
[4,7,2,3,6,8,1,5]=>1100000=>96
[5,2,7,3,6,8,1,4]=>1110000=>112
[5,7,4,6,2,8,1,3]=>1101000=>104
[5,7,3,4,6,1,8,2]=>1110000=>112
[5,3,8,4,6,1,7,2]=>1111000=>120
[8,5,2,4,1,6,7,3]=>1110100=>116
[8,2,3,5,1,6,7,4]=>1101000=>104
[4,2,8,3,6,7,1,5]=>1110000=>112
[2,4,8,1,7,3,5,6]=>1010000=>80
[8,4,1,3,6,2,5,7]=>1101000=>104
[4,8,3,1,7,2,5,6]=>1110000=>112
[5,2,8,4,7,1,6,3]=>1111000=>120
[5,8,4,7,3,1,6,2]=>1111000=>120
[4,6,8,3,1,7,5,2]=>1110100=>116
[6,3,8,2,7,1,5,4]=>1111000=>120
[6,3,1,8,2,4,7,5]=>1110100=>116
[5,3,8,1,2,6,4,7]=>1011000=>88
[5,7,4,1,6,2,3,8]=>1101000=>104
[8,5,4,1,2,6,3,7]=>1011100=>92
[5,1,8,4,2,7,3,6]=>1111000=>120
[1,6,2,8,5,3,7,4]=>0111100=>60
[6,8,5,3,1,7,4,2]=>1111100=>124
[8,4,5,1,2,6,3,7]=>1011000=>88
[5,6,3,7,1,2,4,8]=>1010000=>80
[1,6,3,7,2,8,4,5]=>0111000=>56
[6,3,2,7,8,5,1,4]=>1110100=>116
[4,5,7,8,3,1,6,2]=>1110000=>112
[4,7,2,5,8,1,6,3]=>1110000=>112
[8,1,3,4,6,2,5,7]=>1100000=>96
[3,8,2,4,6,7,1,5]=>1100000=>96
[3,5,6,8,2,7,1,4]=>1100000=>96
[2,4,5,6,8,1,7,3]=>1010000=>80
[4,8,3,5,6,1,7,2]=>1110000=>112
[5,6,2,3,7,8,1,4]=>1100000=>96
[5,8,7,3,4,1,2,6]=>1010001=>81
[6,8,7,3,4,1,2,5]=>1010001=>81
[6,8,4,7,1,5,3,2]=>1111000=>120
[6,8,4,7,2,5,3,1]=>1111000=>120
[5,4,8,7,2,6,3,1]=>1111001=>121
[5,4,8,7,1,6,3,2]=>1111001=>121
[5,3,8,7,6,1,2,4]=>1010011=>83
[4,3,8,7,6,1,2,5]=>1010011=>83
[4,8,3,7,5,1,2,6]=>1010100=>84
[8,3,4,6,5,1,2,7]=>1010100=>84
[3,8,4,7,5,1,2,6]=>1001100=>76
[3,4,8,7,6,1,2,5]=>1000011=>67
[3,5,8,7,6,1,2,4]=>1000011=>67
[4,5,8,7,6,1,2,3]=>1000011=>67
[4,5,8,7,1,6,3,2]=>1110001=>113
[4,5,8,7,2,6,3,1]=>1110001=>113
[3,5,8,2,7,6,4,1]=>1101010=>106
[3,5,8,1,7,6,4,2]=>1101010=>106
[2,5,8,1,7,6,4,3]=>1011010=>90
[2,5,8,7,1,6,3,4]=>1010001=>81
[2,4,8,7,1,6,3,5]=>1010001=>81
[2,8,4,7,1,5,3,6]=>1011000=>88
[8,2,4,6,1,5,3,7]=>1110000=>112
[8,1,4,6,2,5,3,7]=>1110000=>112
[1,8,4,7,2,5,3,6]=>0111000=>56
[1,4,8,7,2,6,3,5]=>0110001=>49
[1,5,8,7,2,6,3,4]=>0110001=>49
[1,5,8,2,7,6,4,3]=>0111010=>58
[2,5,8,3,7,6,4,1]=>1011010=>90
[1,4,2,8,7,6,5,3]=>0110111=>55
[1,3,8,2,7,6,4,5]=>0101010=>42
[1,8,3,2,7,5,4,6]=>0111100=>60
[8,1,3,2,6,5,4,7]=>1101100=>108
[8,2,3,1,6,5,4,7]=>1101100=>108
[2,8,3,1,7,5,4,6]=>1011100=>92
[2,3,8,1,7,6,4,5]=>1001010=>74
[3,4,1,8,7,6,5,2]=>1100111=>103
[4,3,1,8,7,6,5,2]=>1110111=>119
[4,2,1,8,7,6,5,3]=>1110111=>119
[3,8,2,1,7,5,4,6]=>1101100=>108
[8,3,2,1,6,5,4,7]=>1111100=>124
[8,4,2,6,1,5,3,7]=>1111000=>120
[4,2,8,7,1,6,3,5]=>1110001=>113
[5,2,8,7,1,6,3,4]=>1110001=>113
[5,2,8,1,7,6,4,3]=>1111010=>122
[5,3,8,1,7,6,4,2]=>1111010=>122
[5,3,8,2,7,6,4,1]=>1111010=>122
[6,8,3,2,7,5,4,1]=>1111100=>124
[6,8,3,1,7,5,4,2]=>1111100=>124
[6,8,2,1,7,5,4,3]=>1111100=>124
[6,8,2,7,1,5,3,4]=>1110000=>112
[6,8,7,2,1,4,3,5]=>1110001=>113
[8,5,6,1,2,4,3,7]=>1010100=>84
[5,8,7,1,2,4,3,6]=>1010001=>81
[6,8,1,2,7,5,4,3]=>1011100=>92
[6,8,2,3,7,5,4,1]=>1101100=>108
[5,2,8,3,7,6,4,1]=>1111010=>122
[5,1,8,3,7,6,4,2]=>1111010=>122
[5,1,8,7,2,6,3,4]=>1110001=>113
[4,1,8,7,2,6,3,5]=>1110001=>113
[4,8,1,7,2,5,3,6]=>1110000=>112
[8,4,1,6,2,5,3,7]=>1111000=>120
[8,3,1,2,6,5,4,7]=>1011100=>92
[3,8,1,2,7,5,4,6]=>1001100=>76
[3,1,8,2,7,6,4,5]=>1101010=>106
[3,1,2,8,7,6,5,4]=>1001111=>79
[4,1,3,8,7,6,5,2]=>1100111=>103
[3,1,4,8,7,6,5,2]=>1100111=>103
[2,1,8,3,7,6,4,5]=>1011010=>90
[2,8,1,3,7,5,4,6]=>1001100=>76
[8,2,1,3,6,5,4,7]=>1101100=>108
[8,1,2,3,6,5,4,7]=>1001100=>76
[1,8,2,3,7,5,4,6]=>0101100=>44
[1,2,8,3,7,6,4,5]=>0011010=>26
[1,4,3,6,8,2,5,7]=>0110000=>48
[3,1,6,2,5,8,4,7]=>1101000=>104
[3,5,1,8,2,4,7,6]=>1100010=>98
[1,4,5,2,8,3,7,6]=>0110010=>50
[1,4,2,6,5,8,3,7]=>0110100=>52
[1,5,4,2,6,8,3,7]=>0111000=>56
[3,1,6,5,8,2,4,7]=>1100100=>100
[1,6,4,2,5,8,3,7]=>0111000=>56
[1,5,2,6,4,8,3,7]=>0111000=>56
[1,2,6,5,4,8,3,7]=>0011100=>28
[1,2,5,4,7,3,8,6]=>0011010=>26
[4,1,2,6,3,8,7,5]=>1010101=>85
[7,1,5,4,2,8,3,6]=>1111000=>120
[1,4,7,5,2,8,3,6]=>0110100=>52
[7,1,3,5,2,8,4,6]=>1101000=>104
[7,2,5,1,8,3,4,6]=>1110000=>112
[1,4,5,2,8,7,3,6]=>0110001=>49
[1,6,4,2,8,3,7,5]=>0111100=>60
[1,4,2,8,3,7,6,5]=>0110110=>54
[1,2,5,3,8,7,6,4]=>0011011=>27
[1,2,8,6,5,3,7,4]=>0011110=>30
[1,5,2,8,6,3,7,4]=>0111010=>58
[1,6,4,2,8,7,3,5]=>0111001=>57
[6,2,1,8,7,3,4,5]=>1110001=>113
[7,6,2,1,8,3,4,5]=>1110010=>114
[7,3,1,6,2,8,4,5]=>1111000=>120
[1,7,6,4,2,8,3,5]=>0111010=>58
[1,7,5,2,6,3,8,4]=>0111100=>60
[1,6,2,7,5,3,8,4]=>0111100=>60
[1,2,7,6,5,3,8,4]=>0011110=>30
[1,2,6,5,3,8,7,4]=>0011101=>29
[1,5,2,6,3,8,7,4]=>0111001=>57
[1,5,2,7,6,3,8,4]=>0111010=>58
[1,6,5,2,7,3,8,4]=>0111100=>60
[1,5,7,4,2,8,3,6]=>0111000=>56
[4,1,2,8,6,3,7,5]=>1010110=>86
[3,1,8,6,2,4,7,5]=>1100110=>102
[4,3,7,1,8,2,5,6]=>1110000=>112
[8,3,1,6,2,4,7,5]=>1110100=>116
[7,1,8,3,2,4,6,5]=>1110100=>116
[1,8,7,3,2,4,6,5]=>0110101=>53
[1,4,2,8,7,3,6,5]=>0110101=>53
[1,7,4,2,8,3,6,5]=>0111100=>60
[8,1,5,4,2,7,3,6]=>1111000=>120
[1,4,8,5,2,7,3,6]=>0110100=>52
[8,5,3,1,7,2,4,6]=>1110100=>116
[8,6,2,1,7,3,4,5]=>1110010=>114
[1,8,6,4,2,7,3,5]=>0111010=>58
[1,8,5,2,6,3,7,4]=>0111100=>60
[1,5,2,7,3,8,6,4]=>0111010=>58
[1,2,8,5,3,7,6,4]=>0011110=>30
[1,2,6,3,8,7,5,4]=>0011101=>29
[1,2,7,6,3,8,5,4]=>0011110=>30
[1,6,2,7,3,8,5,4]=>0111100=>60
[1,7,2,8,5,3,6,4]=>0111100=>60
[1,7,4,2,8,6,3,5]=>0111010=>58
[7,1,8,3,2,6,4,5]=>1111000=>120
[7,2,1,8,6,3,4,5]=>1110010=>114
[1,8,7,3,2,6,4,5]=>0111001=>57
[1,4,2,8,7,6,3,5]=>0110011=>51
[1,2,8,7,5,3,6,4]=>0011101=>29
[1,2,8,6,3,7,5,4]=>0011110=>30
[1,2,7,3,8,6,5,4]=>0011110=>30
[4,1,7,3,6,5,8,2]=>1110100=>116
[5,1,8,7,6,2,4,3]=>1110011=>115
[8,1,7,6,3,4,5,2]=>1110010=>114
[5,7,8,6,2,4,1,3]=>1100010=>98
[5,7,1,6,2,4,3,8]=>1110000=>112
[6,4,1,5,2,7,3,8]=>1111000=>120
[8,1,4,5,3,7,6,2]=>1110010=>114
[6,1,4,5,3,8,7,2]=>1110001=>113
[6,1,4,5,3,7,8,2]=>1110000=>112
[5,1,7,8,6,2,4,3]=>1110010=>114
[6,1,4,8,3,5,7,2]=>1110000=>112
[7,1,8,6,3,4,5,2]=>1110010=>114
[7,1,4,5,3,8,6,2]=>1110010=>114
[7,1,4,5,3,6,8,2]=>1110000=>112
[8,1,4,5,3,6,7,2]=>1110000=>112
[7,4,1,5,2,6,3,8]=>1111000=>120
[6,3,5,7,2,1,4,8]=>1110000=>112
[6,3,5,8,2,1,7,4]=>1111000=>120
[6,3,5,7,2,1,8,4]=>1111000=>120
[8,4,5,7,3,6,1,2]=>1011000=>88
[6,4,5,8,3,7,2,1]=>1111000=>120
[5,8,7,6,2,4,1,3]=>1100011=>99
[5,4,8,6,3,1,7,2]=>1111010=>122
[5,4,1,8,2,3,7,6]=>1101010=>106
[5,8,1,6,2,4,3,7]=>1110000=>112
[8,4,1,5,2,6,3,7]=>1111000=>120
[6,3,5,8,2,1,4,7]=>1110000=>112
[2,3,4,1,8,6,5,7]=>1000110=>70
[8,3,5,6,2,1,4,7]=>1110000=>112
[2,3,8,5,1,4,7,6]=>1000110=>70
[2,3,8,6,1,5,7,4]=>1001010=>74
[2,8,6,7,1,3,5,4]=>1001010=>74
[8,3,5,7,2,1,6,4]=>1111000=>120
[2,3,8,5,6,1,7,4]=>1001100=>76
[7,4,5,6,3,1,8,2]=>1111000=>120
[8,4,5,6,3,1,7,2]=>1111000=>120
[7,3,5,6,2,8,1,4]=>1110000=>112
[7,3,5,8,2,1,6,4]=>1111000=>120
[7,3,5,6,2,1,4,8]=>1110000=>112
[2,7,6,5,1,3,4,8]=>1000110=>70
[2,7,6,8,1,3,5,4]=>1001010=>74
[2,7,6,5,8,3,1,4]=>1010110=>86
[8,7,5,6,1,4,2,3]=>1100101=>101
[2,6,4,1,8,5,7,3]=>1011100=>92
[2,6,1,3,8,5,7,4]=>1001100=>76
[2,7,1,3,6,5,8,4]=>1001100=>76
[2,7,6,8,4,3,1,5]=>1011010=>90
[2,7,6,1,8,3,4,5]=>1010010=>82
[2,7,6,1,4,3,5,8]=>1010010=>82
[7,3,5,1,2,8,4,6]=>1011000=>88
[8,4,1,5,2,3,7,6]=>1101010=>106
[7,8,1,6,3,4,2,5]=>1110000=>112
[6,4,1,8,3,2,7,5]=>1111100=>124
[2,3,8,6,4,1,7,5]=>1001110=>78
[2,8,6,7,4,3,1,5]=>1011010=>90
[8,3,5,7,2,4,1,6]=>1110000=>112
[2,3,4,1,8,7,5,6]=>1000101=>69
[2,8,6,1,7,3,4,5]=>1010010=>82
[2,3,8,1,6,4,7,5]=>1001100=>76
[2,3,8,1,4,5,7,6]=>1000010=>66
[2,8,6,1,4,3,5,7]=>1010010=>82
[1,2,3,4,5,6,7,9,8]=>00000001=>1
[2,1,3,4,5,6,7,8,9]=>10000000=>128
[1,2,3,4,5,6,7,8,10,9]=>000000001=>1
[2,1,3,4,5,6,7,8,9,10]=>100000000=>256
[9,1,2,3,4,5,6,7,10,8]=>100000010=>258
[1,8,2,3,4,5,6,9,7]=>01000010=>66
[7,1,2,3,4,5,6,9,8]=>10000001=>129
[2,1,9,3,4,5,6,7,8]=>10100000=>160
[2,8,1,3,4,5,6,7,9]=>10000000=>128
[2,10,1,3,4,5,6,7,8,9]=>100000000=>256
[8,4,3,6,5,1,7,2]=>1111100=>124
[8,5,6,3,4,1,7,2]=>1110100=>116
[8,6,5,4,3,1,7,2]=>1111110=>126
[1,7,6,5,4,2,3,8]=>0101110=>46
[1,8,6,5,2,7,3,4]=>0110110=>54
[8,7,5,4,1,6,3,2]=>1111101=>125
[7,8,5,4,1,3,6,2]=>1101100=>108
[6,8,5,4,2,1,7,3]=>1111100=>124
[5,8,6,2,4,1,7,3]=>1110010=>114
[4,8,2,6,5,1,7,3]=>1110100=>116
[3,2,8,6,5,1,7,4]=>1101110=>110
[3,2,1,7,6,4,5,8]=>1101010=>106
[4,1,3,7,6,2,5,8]=>1100010=>98
[5,1,7,3,6,2,4,8]=>1110000=>112
[6,1,7,5,3,2,4,8]=>1110100=>116
[7,1,6,5,2,4,3,8]=>1110100=>116
[8,1,6,5,2,3,7,4]=>1101100=>108
[1,2,7,6,3,4,5,8]=>0010010=>18
[1,2,8,3,7,4,5,6]=>0011000=>24
[8,1,7,2,6,3,5,4]=>1111000=>120
[7,1,8,2,6,4,3,5]=>1111000=>120
[6,1,8,2,4,7,3,5]=>1110000=>112
[5,1,8,3,2,7,4,6]=>1111000=>120
[4,1,3,8,2,7,5,6]=>1100100=>100
[3,2,1,8,4,7,5,6]=>1101100=>108
[3,2,8,7,1,6,5,4]=>1101101=>109
[4,8,2,7,1,6,5,3]=>1110100=>116
[5,8,7,2,1,6,4,3]=>1111001=>121
[6,8,7,1,3,5,4,2]=>1101001=>105
[7,8,6,1,5,3,4,2]=>1110010=>114
[8,7,6,1,5,4,3,2]=>1111011=>123
[1,8,7,2,6,5,3,4]=>0110101=>53
[1,7,8,2,5,6,3,4]=>0110000=>48
[8,6,7,1,4,5,3,2]=>1110010=>114
[7,6,8,1,4,3,5,2]=>1110010=>114
[6,5,8,3,2,1,7,4]=>1111100=>124
[7,5,8,3,1,4,6,2]=>1110100=>116
[8,5,7,3,1,6,4,2]=>1111100=>124
[1,6,8,4,2,7,3,5]=>0111000=>56
[1,5,4,8,2,7,3,6]=>0111000=>56
[8,4,3,7,1,6,5,2]=>1111100=>124
[7,4,3,8,1,5,6,2]=>1111000=>120
[6,4,3,1,5,2,7,8]=>1111000=>120
[7,4,3,1,2,6,5,8]=>1011100=>92
[8,4,3,1,2,5,7,6]=>1011010=>90
[1,5,4,2,3,6,7,8]=>0101000=>40
[8,5,1,4,2,3,7,6]=>1100110=>102
[7,5,1,4,2,6,3,8]=>1110100=>116
[6,5,1,4,3,2,7,8]=>1110100=>116
[5,6,1,3,4,2,7,8]=>1100000=>96
[4,6,2,1,5,3,7,8]=>1110000=>112
[3,2,6,1,5,4,7,8]=>1101000=>104
[3,2,7,1,4,6,5,8]=>1100100=>100
[4,7,2,1,3,6,5,8]=>1100100=>100
[5,7,1,3,2,6,4,8]=>1101000=>104
[6,7,1,2,4,5,3,8]=>1010000=>80
[7,6,1,2,5,4,3,8]=>1011010=>90
[8,6,1,2,5,3,7,4]=>1011010=>90
[1,7,2,3,6,4,5,8]=>0101000=>40
[8,7,1,2,3,6,5,4]=>1001101=>77
[7,8,1,2,3,5,6,4]=>1001000=>72
[6,8,1,2,4,3,7,5]=>1010100=>84
[5,8,1,3,2,4,7,6]=>1100010=>98
[4,8,2,1,3,5,7,6]=>1100010=>98
[3,2,8,1,4,5,7,6]=>1100010=>98
[4,1,3,2,5,6,7,8]=>1100000=>96
[5,1,2,4,3,6,7,8]=>1010000=>80
[6,1,2,3,5,4,7,8]=>1001000=>72
[7,1,2,3,4,6,5,8]=>1000100=>68
[8,1,2,3,4,5,7,6]=>1000010=>66
[6,7,3,8,5,1,2,4]=>1010100=>84
[6,7,4,5,1,8,3,2]=>1111000=>120
[5,4,7,6,8,1,2,3]=>1001010=>74
[5,3,7,8,6,1,2,4]=>1010010=>82
[3,8,4,5,7,1,2,6]=>1001000=>72
[3,4,8,6,7,1,2,5]=>1000010=>66
[4,5,6,7,1,8,3,2]=>1110000=>112
[3,5,6,2,7,4,8,1]=>1101000=>104
[3,5,6,1,7,8,4,2]=>1101000=>104
[2,5,6,1,8,7,4,3]=>1011001=>89
[2,5,6,8,1,7,3,4]=>1010000=>80
[8,2,4,5,1,6,3,7]=>1110000=>112
[1,4,8,6,2,3,7,5]=>0100110=>38
[1,5,6,8,2,3,7,4]=>0101000=>40
[1,5,6,2,8,4,7,3]=>0111000=>56
[2,5,6,3,4,7,8,1]=>1010000=>80
[1,4,2,6,8,5,7,3]=>0110100=>52
[8,1,3,2,5,4,6,7]=>1101000=>104
[8,2,3,1,5,6,4,7]=>1101000=>104
[2,8,3,1,5,7,4,6]=>1011000=>88
[2,4,1,6,8,7,5,3]=>1010101=>85
[3,4,1,6,7,8,5,2]=>1100100=>100
[4,3,1,7,6,8,5,2]=>1110110=>118
[5,2,7,8,1,6,3,4]=>1110000=>112
[5,3,7,2,6,4,8,1]=>1111000=>120
[6,7,3,1,5,8,4,2]=>1111000=>120
[6,7,2,1,8,5,4,3]=>1111100=>124
[6,7,2,8,1,5,3,4]=>1110000=>112
[6,7,8,2,1,4,3,5]=>1110000=>112
[6,7,1,2,8,4,5,3]=>1011000=>88
[6,7,1,3,4,8,5,2]=>1100100=>100
[5,2,7,3,4,6,8,1]=>1110000=>112
[5,1,7,3,4,8,6,2]=>1110010=>114
[5,1,7,8,2,3,6,4]=>1101000=>104
[4,1,8,7,2,3,6,5]=>1100101=>101
[3,8,1,2,7,4,5,6]=>1001000=>72
[4,1,3,7,5,8,6,2]=>1100110=>102
[3,1,4,5,7,8,6,2]=>1100010=>98
[2,1,8,3,4,7,6,5]=>1010110=>86
[8,2,1,3,4,6,5,7]=>1100100=>100
[1,8,2,3,4,5,7,6]=>0100010=>34
[1,2,8,3,4,6,7,5]=>0010100=>20
[4,2,1,6,5,8,7,3]=>1110101=>117
[5,2,6,1,4,8,7,3]=>1110001=>113
[5,2,6,4,1,8,7,3]=>1111001=>121
[5,2,7,4,8,1,6,3]=>1111000=>120
[5,2,7,4,8,6,1,3]=>1101010=>106
[5,7,2,3,8,6,1,4]=>1100010=>98
[5,7,2,3,8,1,6,4]=>1101000=>104
[5,6,2,3,1,8,7,4]=>1101001=>105
[5,6,2,1,3,8,7,4]=>1101001=>105
[5,1,6,4,2,8,7,3]=>1111001=>121
[5,6,1,3,2,8,7,4]=>1101001=>105
[5,6,3,1,2,8,7,4]=>1011001=>89
[5,6,3,2,1,8,7,4]=>1111001=>121
[5,7,3,2,8,1,6,4]=>1111000=>120
[5,7,3,2,8,6,1,4]=>1110010=>114
[6,7,3,8,2,1,5,4]=>1111000=>120
[6,7,3,8,1,2,5,4]=>1011000=>88
[5,7,3,1,8,2,6,4]=>1111000=>120
[5,7,1,3,8,2,6,4]=>1101000=>104
[5,1,7,4,8,2,6,3]=>1111000=>120
[1,5,7,4,8,3,6,2]=>0111000=>56
[1,5,7,4,8,6,3,2]=>0111010=>58
[5,1,7,4,8,6,2,3]=>1101010=>106
[5,7,1,3,8,6,2,4]=>1100010=>98
[5,7,3,1,8,6,2,4]=>1110010=>114
[6,7,3,8,1,5,2,4]=>1110000=>112
[6,7,3,8,5,2,1,4]=>1110100=>116
[6,7,8,3,1,4,2,5]=>1110000=>112
[6,7,1,8,3,5,2,4]=>1110000=>112
[6,1,7,8,4,5,2,3]=>1101000=>104
[1,6,7,8,4,5,3,2]=>0111000=>56
[1,6,7,8,4,3,5,2]=>0111000=>56
[6,1,7,8,4,2,5,3]=>1111000=>120
[6,7,1,8,3,2,5,4]=>1111000=>120
[5,7,2,1,8,3,6,4]=>1111000=>120
[6,7,2,8,1,3,5,4]=>1101000=>104
[6,7,2,8,3,1,5,4]=>1111000=>120
[6,7,2,8,3,5,1,4]=>1110000=>112
[6,2,7,8,4,5,1,3]=>1101000=>104
[6,2,7,8,4,1,5,3]=>1111000=>120
[6,2,7,8,1,4,5,3]=>1110000=>112
[5,2,7,1,8,4,6,3]=>1111000=>120
[4,2,1,7,8,5,6,3]=>1110100=>116
[4,1,2,7,8,6,5,3]=>1010110=>86
[6,2,7,8,1,5,4,3]=>1111000=>120
[6,2,7,8,5,1,4,3]=>1110100=>116
[6,2,7,8,5,4,1,3]=>1101100=>108
[6,7,2,8,5,3,1,4]=>1110100=>116
[5,7,2,1,8,6,3,4]=>1110010=>114
[5,7,1,2,8,6,3,4]=>1010010=>82
[5,1,7,2,8,6,4,3]=>1111010=>122
[1,5,7,3,8,6,4,2]=>0111010=>58
[1,6,7,8,3,5,4,2]=>0111000=>56
[6,1,7,8,2,5,4,3]=>1111000=>120
[6,7,1,8,2,5,3,4]=>1110000=>112
[6,7,8,2,4,1,3,5]=>1100000=>96
[6,7,8,2,4,3,1,5]=>1110000=>112
[6,7,1,8,5,2,3,4]=>1100100=>100
[6,1,7,8,5,2,4,3]=>1110100=>116
[1,6,7,8,5,3,4,2]=>0110100=>52
[6,1,7,8,5,4,2,3]=>1101100=>108
[6,7,1,8,5,3,2,4]=>1110100=>116
[6,7,8,4,1,3,2,5]=>1101000=>104
[6,3,8,5,2,7,4,1]=>1111100=>124
[6,5,2,8,4,7,3,1]=>1111100=>124
[6,3,4,5,8,7,2,1]=>1110001=>113
[3,8,4,7,5,2,1,6]=>1101100=>108
[5,8,1,4,7,2,3,6]=>1100000=>96
[5,6,1,4,8,7,3,2]=>1110001=>113
[3,6,4,8,5,7,1,2]=>1001100=>76
[5,1,4,8,6,3,7,2]=>1110010=>114
[3,4,7,1,8,6,5,2]=>1100110=>102
[6,3,8,4,2,7,1,5]=>1111000=>120
[3,6,8,7,1,4,2,5]=>1100001=>97
[5,3,7,1,6,8,2,4]=>1110000=>112
[4,3,8,5,6,7,2,1]=>1110100=>116
[5,8,1,7,6,2,4,3]=>1110010=>114
[4,6,1,2,7,8,5,3]=>1010100=>84
[3,6,4,2,8,7,5,1]=>1101101=>109
[6,3,7,5,2,8,1,4]=>1110100=>116
[6,5,2,7,4,8,1,3]=>1101100=>108
[5,7,1,4,8,3,2,6]=>1110000=>112
[7,8,3,5,1,4,6,2]=>1110000=>112
[5,8,1,4,6,7,2,3]=>1100000=>96
[6,5,8,4,3,7,2,1]=>1111100=>124
[6,3,7,4,2,8,5,1]=>1111100=>124
[8,7,1,6,2,4,5,3]=>1110001=>113
[3,8,6,7,1,4,5,2]=>1100010=>98
[5,3,8,7,4,1,2,6]=>1011001=>89
[4,3,8,7,1,5,6,2]=>1110001=>113
[8,3,6,1,2,5,7,4]=>1011000=>88
[5,6,1,8,7,3,2,4]=>1110001=>113
[5,4,2,7,3,6,8,1]=>1111000=>120
[7,5,3,6,4,2,8,1]=>1111100=>124
[6,4,1,5,3,8,2,7]=>1111000=>120
[8,5,2,6,4,7,3,1]=>1111100=>124
[8,2,6,3,4,7,5,1]=>1110100=>116
[7,2,6,3,5,4,8,1]=>1111000=>120
[6,2,7,4,3,5,8,1]=>1111000=>120
[5,7,3,6,4,2,8,1]=>1111000=>120
[3,7,6,4,5,2,8,1]=>1101010=>106
[2,7,6,5,3,4,8,1]=>1010110=>86
[6,5,4,3,1,8,2,7]=>1111100=>124
[8,6,5,4,2,7,3,1]=>1111110=>126
[8,5,4,1,7,2,6,3]=>1111100=>124
[7,5,4,1,8,3,2,6]=>1111100=>124
[1,6,5,2,8,3,4,7]=>0110100=>52
[5,7,4,2,1,8,3,6]=>1111000=>120
[1,6,5,3,4,8,2,7]=>0110100=>52
[5,4,6,3,1,8,2,7]=>1111000=>120
[6,5,8,4,2,7,3,1]=>1111100=>124
[5,8,2,6,4,7,3,1]=>1111000=>120
[3,8,6,2,5,7,4,1]=>1101010=>106
[7,8,5,3,2,6,4,1]=>1111100=>124
[6,8,3,1,7,2,5,4]=>1111000=>120
[1,8,6,3,7,5,2,4]=>0110110=>54
[8,7,5,2,6,4,3,1]=>1111101=>125
[8,7,1,6,2,5,4,3]=>1111001=>121
[7,8,1,6,3,2,5,4]=>1111000=>120
[2,8,1,7,3,5,6,4]=>1011000=>88
[3,8,6,1,7,4,5,2]=>1101010=>106
[4,8,1,3,7,2,6,5]=>1100100=>100
[4,2,8,5,7,3,6,1]=>1110100=>116
[5,1,7,6,8,3,2,4]=>1110010=>114
[3,7,1,5,8,4,2,6]=>1101000=>104
[6,7,3,1,8,4,2,5]=>1111000=>120
[1,7,3,8,4,5,2,6]=>0111000=>56
[1,7,2,8,5,3,4,6]=>0110100=>52
[7,6,1,8,4,3,2,5]=>1111010=>122
[8,6,1,7,4,2,5,3]=>1111010=>122
[8,1,2,7,3,4,6,5]=>1010100=>84
[7,1,2,8,3,5,4,6]=>1011000=>88
[7,2,6,1,8,4,3,5]=>1111000=>120
[8,2,6,1,7,3,5,4]=>1111000=>120
[8,3,1,4,7,5,6,2]=>1110100=>116
[7,3,1,5,8,4,2,6]=>1111000=>120
[4,2,1,5,8,3,6,7]=>1110000=>112
[5,4,2,7,1,8,3,6]=>1111000=>120
[5,4,3,1,6,8,2,7]=>1111000=>120
[4,7,5,6,8,3,2,1]=>1110100=>116
[6,5,4,8,2,7,3,1]=>1111100=>124
[6,5,2,8,7,3,4,1]=>1110101=>117
[6,5,1,8,7,4,2,3]=>1101101=>109
[8,6,4,7,5,3,2,1]=>1111110=>126
[5,1,8,3,7,6,2,4]=>1110010=>114
[5,4,8,1,7,2,6,3]=>1111000=>120
[7,5,8,3,2,6,4,1]=>1111100=>124
[3,6,8,2,4,7,5,1]=>1100100=>100
[5,7,3,8,2,6,4,1]=>1111000=>120
[5,4,6,8,2,7,3,1]=>1111000=>120
[5,2,6,8,7,3,4,1]=>1110001=>113
[4,7,2,8,6,3,5,1]=>1110010=>114
[3,6,8,1,7,2,5,4]=>1101000=>104
[2,3,8,7,4,5,6,1]=>1001001=>73
[7,2,8,6,4,3,5,1]=>1111010=>122
[2,1,8,7,5,6,3,4]=>1010101=>85
[8,2,7,6,3,5,4,1]=>1111010=>122
[8,1,7,6,5,2,4,3]=>1110110=>118
[7,1,8,6,5,3,2,4]=>1110110=>118
[1,2,8,7,6,3,4,5]=>0010011=>19
[1,3,8,7,4,6,2,5]=>0101001=>41
[1,5,8,3,7,6,2,4]=>0110010=>50
[5,1,6,8,7,4,2,3]=>1101001=>105
[6,8,4,7,5,3,2,1]=>1111100=>124
[6,8,7,2,5,4,3,1]=>1111001=>121
[3,8,7,6,4,5,2,1]=>1101011=>107
[2,8,7,6,5,3,4,1]=>1010111=>87
[1,8,7,6,5,4,2,3]=>0101111=>47
[5,8,6,7,3,4,1,2]=>1010010=>82
[4,8,6,7,3,5,1,2]=>1010010=>82
[3,8,6,7,4,5,1,2]=>1001010=>74
[2,8,6,7,4,5,1,3]=>1001010=>74
[1,8,6,7,4,5,2,3]=>0101010=>42
[1,8,5,7,4,6,2,3]=>0101100=>44
[3,8,5,7,4,6,1,2]=>1001100=>76
[4,8,5,7,3,6,1,2]=>1010100=>84
[7,8,3,6,4,5,1,2]=>1011000=>88
[6,8,3,7,4,5,1,2]=>1011000=>88
[5,8,3,7,4,6,1,2]=>1011000=>88
[3,7,4,8,5,6,1,2]=>1001100=>76
[4,7,3,8,5,6,1,2]=>1010100=>84
[4,7,2,8,5,6,1,3]=>1100100=>100
[4,7,1,8,5,6,2,3]=>1100100=>100
[3,7,1,8,5,6,2,4]=>1100100=>100
[3,7,2,8,5,6,1,4]=>1100100=>100
[2,7,3,8,5,6,1,4]=>1010100=>84
[2,7,4,8,5,6,1,3]=>1001100=>76
[5,8,2,7,4,6,1,3]=>1101000=>104
[6,8,2,7,4,5,1,3]=>1101000=>104
[7,8,2,6,4,5,1,3]=>1101000=>104
[7,8,1,6,4,5,2,3]=>1101000=>104
[6,8,1,7,4,5,2,3]=>1101000=>104
[5,8,1,7,4,6,2,3]=>1101000=>104
[1,7,4,8,5,6,2,3]=>0101100=>44
[1,7,3,8,5,6,2,4]=>0110100=>52
[2,8,5,6,1,7,3,4]=>1010100=>84
[1,8,5,6,2,7,3,4]=>0110100=>52
[1,7,3,8,4,6,2,5]=>0111000=>56
[4,8,1,7,3,6,2,5]=>1110000=>112
[5,8,1,7,3,6,2,4]=>1110000=>112
[6,8,1,7,3,5,2,4]=>1110000=>112
[7,8,2,6,3,5,1,4]=>1110000=>112
[6,8,2,7,3,5,1,4]=>1110000=>112
[5,8,2,7,3,6,1,4]=>1110000=>112
[4,8,2,7,3,6,1,5]=>1110000=>112
[2,7,3,8,4,6,1,5]=>1011000=>88
[3,7,2,8,4,6,1,5]=>1101000=>104
[3,7,1,8,4,6,2,5]=>1101000=>104
[1,8,4,7,3,6,2,5]=>0111000=>56
[2,8,4,7,3,6,1,5]=>1011000=>88
[3,8,4,7,2,6,1,5]=>1101000=>104
[4,8,5,7,2,6,1,3]=>1100100=>100
[3,8,5,7,2,6,1,4]=>1100100=>100
[2,8,5,7,3,6,1,4]=>1010100=>84
[1,8,5,7,3,6,2,4]=>0110100=>52
[1,8,6,7,3,5,2,4]=>0110010=>50
[2,8,6,7,3,5,1,4]=>1010010=>82
[3,8,6,7,2,5,1,4]=>1100010=>98
[4,8,6,7,2,5,1,3]=>1100010=>98
[5,8,6,7,2,4,1,3]=>1100010=>98
[6,8,5,7,1,4,2,3]=>1100100=>100
[5,8,6,7,1,4,2,3]=>1100010=>98
[4,8,6,7,1,5,2,3]=>1100010=>98
[3,8,6,7,1,5,2,4]=>1100010=>98
[1,5,2,8,6,7,3,4]=>0110010=>50
[2,5,1,8,6,7,3,4]=>1010010=>82
[2,6,1,8,5,7,3,4]=>1010100=>84
[1,6,2,8,5,7,3,4]=>0110100=>52
[3,8,5,7,1,6,2,4]=>1100100=>100
[6,8,4,7,1,5,2,3]=>1101000=>104
[7,8,4,6,1,5,2,3]=>1101000=>104
[7,8,3,6,1,5,2,4]=>1110000=>112
[6,8,3,7,1,5,2,4]=>1110000=>112
[4,8,3,7,1,6,2,5]=>1110000=>112
[3,8,4,7,1,6,2,5]=>1101000=>104
[1,6,2,8,4,7,3,5]=>0111000=>56
[2,6,1,8,4,7,3,5]=>1011000=>88
[3,7,2,6,1,8,4,5]=>1101000=>104
[3,7,1,6,2,8,4,5]=>1101000=>104
[4,8,1,6,2,7,3,5]=>1110000=>112
[5,8,1,6,2,7,3,4]=>1110000=>112
[7,8,1,5,2,6,3,4]=>1110000=>112
[7,8,2,5,1,6,3,4]=>1110000=>112
[6,8,2,5,1,7,3,4]=>1110000=>112
[5,8,2,6,1,7,3,4]=>1110000=>112
[4,8,2,6,1,7,3,5]=>1110000=>112
[1,7,3,6,2,8,4,5]=>0111000=>56
[2,7,3,6,1,8,4,5]=>1011000=>88
[1,2,3,4,5,6,7,8,9]=>00000000=>0
[1,2,3,4,5,6,8,9,7]=>00000010=>2
[1,2,3,4,5,7,8,9,6]=>00000100=>4
[1,2,3,4,6,7,8,9,5]=>00001000=>8
[1,2,3,5,6,7,8,9,4]=>00010000=>16
[1,2,4,5,6,7,8,9,3]=>00100000=>32
[1,3,4,5,6,7,8,9,2]=>01000000=>64
[1,2,3,4,5,6,7,8,9,10]=>000000000=>0
[1,2,3,4,5,6,9,8,7]=>00000011=>3
[1,2,3,4,5,6,7,9,10,8]=>000000010=>2
[1,2,3,4,5,8,7,9,6]=>00000110=>6
[1,2,3,4,5,6,8,9,10,7]=>000000100=>4
[1,2,3,4,7,6,8,9,5]=>00001100=>12
[1,2,3,4,5,7,8,9,10,6]=>000001000=>8
[1,2,3,6,5,7,8,9,4]=>00011000=>24
[1,2,3,4,6,7,8,9,10,5]=>000010000=>16
[1,2,5,4,6,7,8,9,3]=>00110000=>48
[1,2,3,5,6,7,8,9,10,4]=>000100000=>32
[1,4,3,5,6,7,8,9,2]=>01100000=>96
[1,2,4,5,6,7,8,9,10,3]=>001000000=>64
[3,2,4,5,6,7,8,9,1]=>11000000=>192
[1,3,4,5,6,7,8,9,10,2]=>010000000=>128
[6,7,4,8,3,5,1,2]=>1011000=>88
[6,7,4,5,2,8,1,3]=>1101000=>104
[5,7,4,6,2,3,1,8]=>1101000=>104
[5,7,4,6,3,8,1,2]=>1011000=>88
[5,7,4,8,3,6,1,2]=>1011000=>88
[6,8,4,5,3,7,1,2]=>1011000=>88
[5,8,4,6,3,7,1,2]=>1011000=>88
[5,6,4,8,3,7,1,2]=>1011000=>88
[5,6,3,7,2,4,1,8]=>1110000=>112
[5,6,3,7,2,8,1,4]=>1110000=>112
[5,6,3,8,2,7,1,4]=>1110000=>112
[5,6,4,8,2,7,1,3]=>1101000=>104
[5,8,4,6,2,7,1,3]=>1101000=>104
[6,8,4,5,2,7,1,3]=>1101000=>104
[7,8,4,5,2,6,1,3]=>1101000=>104
[6,8,4,5,2,3,1,7]=>1101000=>104
[5,8,4,6,2,3,1,7]=>1101000=>104
[5,6,4,8,2,3,1,7]=>1101000=>104
[5,6,3,8,2,4,1,7]=>1110000=>112
[5,6,3,4,2,8,1,7]=>1110000=>112
[4,6,3,5,2,7,1,8]=>1110000=>112
[4,6,3,5,2,8,1,7]=>1110000=>112
[4,6,3,8,2,5,1,7]=>1110000=>112
[4,8,3,6,2,5,1,7]=>1110000=>112
[5,8,3,6,2,4,1,7]=>1110000=>112
[6,8,3,5,2,4,1,7]=>1110000=>112
[7,8,3,5,2,4,1,6]=>1110000=>112
[7,8,3,5,2,6,1,4]=>1110000=>112
[5,8,3,6,2,7,1,4]=>1110000=>112
[4,8,3,6,2,7,1,5]=>1110000=>112
[4,6,3,8,2,7,1,5]=>1110000=>112
[4,6,3,7,2,8,1,5]=>1110000=>112
[4,7,3,6,2,5,1,8]=>1110000=>112
[4,7,3,6,2,8,1,5]=>1110000=>112
[4,7,3,8,2,6,1,5]=>1110000=>112
[5,7,4,8,2,6,1,3]=>1101000=>104
[5,7,3,6,2,8,1,4]=>1110000=>112
[5,7,3,6,2,4,1,8]=>1110000=>112
[6,7,3,5,2,4,1,8]=>1110000=>112
[6,7,3,5,2,8,1,4]=>1110000=>112
[6,7,4,8,2,5,1,3]=>1101000=>104
[6,7,5,8,2,4,1,3]=>1100100=>100
[6,8,5,7,2,3,1,4]=>1100100=>100
[6,7,4,8,2,3,1,5]=>1101000=>104
[6,7,3,8,2,4,1,5]=>1110000=>112
[6,7,3,4,2,8,1,5]=>1110000=>112
[5,7,3,4,2,6,1,8]=>1110000=>112
[5,7,3,4,2,8,1,6]=>1110000=>112
[5,7,4,8,2,3,1,6]=>1101000=>104
[5,8,4,7,2,3,1,6]=>1101000=>104
[6,8,4,7,2,3,1,5]=>1101000=>104
[7,8,4,6,2,3,1,5]=>1101000=>104
[7,8,3,6,2,4,1,5]=>1110000=>112
[6,8,3,7,2,4,1,5]=>1110000=>112
[5,8,3,7,2,4,1,6]=>1110000=>112
[4,8,3,7,2,5,1,6]=>1110000=>112
[4,7,3,8,2,5,1,6]=>1110000=>112
[4,7,3,5,2,8,1,6]=>1110000=>112
[4,7,3,5,2,6,1,8]=>1110000=>112
[4,5,3,7,2,6,1,8]=>1110000=>112
[4,5,3,7,2,8,1,6]=>1110000=>112
[4,5,3,8,2,7,1,6]=>1110000=>112
[4,8,3,5,2,7,1,6]=>1110000=>112
[5,8,3,4,2,7,1,6]=>1110000=>112
[6,8,3,4,2,7,1,5]=>1110000=>112
[7,8,3,4,2,6,1,5]=>1110000=>112
[6,8,3,4,2,5,1,7]=>1110000=>112
[5,8,3,4,2,6,1,7]=>1110000=>112
[4,8,3,5,2,6,1,7]=>1110000=>112
[4,5,3,8,2,6,1,7]=>1110000=>112
[4,5,3,6,2,8,1,7]=>1110000=>112
[4,7,5,2,1,8,3,6]=>1110100=>116
[4,8,5,2,1,7,6,3]=>1110110=>118
[4,6,5,2,1,3,8,7]=>1100101=>101
[5,6,4,2,3,1,8,7]=>1101001=>105
[6,4,5,3,1,2,8,7]=>1011001=>89
[5,4,6,1,3,2,8,7]=>1101001=>105
[4,6,8,1,7,3,2,5]=>1110000=>112
[4,7,8,1,6,3,5,2]=>1110000=>112
[7,4,8,1,6,5,3,2]=>1111100=>124
[5,4,8,1,3,7,6,2]=>1101010=>106
[8,4,5,3,1,7,6,2]=>1111010=>122
[5,4,7,1,3,8,2,6]=>1101000=>104
[6,4,8,1,7,5,2,3]=>1101100=>108
[5,6,8,7,2,1,3,4]=>1100001=>97
[8,5,7,6,4,2,1,3]=>1101110=>110
[8,4,6,3,7,2,1,5]=>1111000=>120
[6,3,2,8,7,4,1,5]=>1111001=>121
[2,1,6,8,7,4,3,5]=>1011001=>89
[2,1,7,8,6,4,5,3]=>1011010=>90
[7,3,2,8,6,4,5,1]=>1111010=>122
[7,6,8,5,2,4,3,1]=>1110110=>118
[5,7,8,6,2,3,1,4]=>1100010=>98
[5,8,7,6,3,2,1,4]=>1110011=>115
[6,8,7,5,3,2,4,1]=>1110101=>117
[5,8,4,2,3,7,6,1]=>1101010=>106
[7,8,4,2,6,5,3,1]=>1111100=>124
[4,8,7,2,6,3,5,1]=>1110001=>113
[4,8,6,2,7,3,1,5]=>1110010=>114
[3,6,1,8,7,4,2,5]=>1101001=>105
[3,7,1,8,6,4,5,2]=>1101010=>106
[3,8,1,6,7,5,2,4]=>1100100=>100
[3,7,1,6,8,2,5,4]=>1101000=>104
[4,7,6,2,8,1,3,5]=>1100010=>98
[6,7,4,2,8,1,5,3]=>1111000=>120
[6,8,4,2,7,5,1,3]=>1101100=>108
[2,1,8,6,7,5,3,4]=>1010110=>86
[8,3,2,6,7,5,1,4]=>1110100=>116
[8,6,4,3,7,5,1,2]=>1011110=>94
[5,8,6,7,3,1,2,4]=>1010010=>82
[6,7,5,8,1,3,4,2]=>1100100=>100
[7,6,5,8,1,4,3,2]=>1110110=>118
[8,6,5,7,4,1,3,2]=>1101110=>110
[7,6,4,3,8,1,5,2]=>1111010=>122
[7,3,2,6,8,1,5,4]=>1111000=>120
[2,1,7,6,8,3,5,4]=>1011010=>90
[7,5,6,8,1,4,2,3]=>1100100=>100
[6,5,7,8,1,2,4,3]=>1010100=>84
[8,1,3,7,4,6,5,2]=>1101100=>108
[5,2,8,7,4,6,1,3]=>1101001=>105
[1,6,2,5,4,7,3,8]=>0111000=>56
[6,2,7,5,4,8,3,1]=>1111100=>124
[8,1,3,5,4,7,6,2]=>1101010=>106
[6,1,5,4,3,8,7,2]=>1111001=>121
[6,1,8,3,4,5,7,2]=>1110000=>112
[7,1,5,3,4,8,6,2]=>1110010=>114
[7,1,4,3,5,6,8,2]=>1110000=>112
[8,1,3,4,5,6,7,2]=>1100000=>96
[1,7,2,4,5,6,3,8]=>0110000=>48
[6,3,2,7,5,1,8,4]=>1111100=>124
[8,4,7,2,5,6,1,3]=>1101000=>104
[6,5,8,2,4,7,3,1]=>1110100=>116
[8,5,2,1,4,3,7,6]=>1110110=>118
[6,5,2,8,4,1,3,7]=>1101100=>108
[5,6,2,1,4,8,3,7]=>1110000=>112
[3,6,1,8,5,2,4,7]=>1100100=>100
[1,2,6,3,5,4,7,8]=>0011000=>24
[3,4,1,2,8,6,5,7]=>1000110=>70
[4,3,1,2,6,8,5,7]=>1010100=>84
[5,8,1,6,3,2,4,7]=>1110000=>112
[6,3,8,5,2,1,4,7]=>1110100=>116
[8,3,1,5,2,4,7,6]=>1110010=>114
[3,8,2,6,1,5,7,4]=>1101000=>104
[3,8,6,7,2,1,5,4]=>1101010=>106
[8,5,6,4,2,1,7,3]=>1111100=>124
[7,2,5,8,3,1,6,4]=>1111000=>120
[1,7,5,6,3,2,4,8]=>0110100=>52
[6,1,2,3,8,5,7,4]=>1001100=>76
[7,1,2,3,6,5,8,4]=>1001100=>76
[7,2,1,3,8,6,4,5]=>1101010=>106
[1,5,7,3,2,4,6,8]=>0110000=>48
[5,2,7,3,1,8,4,6]=>1111000=>120
[5,8,2,4,1,3,7,6]=>1100010=>98
[8,7,2,6,3,4,1,5]=>1110001=>113
[4,8,1,6,3,2,7,5]=>1110100=>116
[3,1,8,6,4,2,7,5]=>1101110=>110
[8,1,6,7,4,3,2,5]=>1111000=>120
[3,5,8,7,2,4,1,6]=>1100001=>97
[4,2,1,3,7,8,5,6]=>1100100=>100
[2,4,1,3,8,7,5,6]=>1000101=>69
[2,5,8,3,1,7,4,6]=>1011000=>88
[8,6,1,3,7,2,4,5]=>1100010=>98
[2,8,1,3,6,4,7,5]=>1001100=>76
[6,8,2,3,4,1,5,7]=>1100000=>96
[5,1,8,3,2,4,6,7]=>1110000=>112
[9,8,7,6,5,4,3,2,1]=>11111111=>255
[8,9,7,6,5,4,3,2,1]=>11111110=>254
[8,7,9,6,5,4,3,2,1]=>11111110=>254
[8,7,6,9,5,4,3,2,1]=>11111110=>254
[8,7,6,5,9,4,3,2,1]=>11111110=>254
[8,7,6,5,4,9,3,2,1]=>11111110=>254
[8,7,6,5,4,3,9,2,1]=>11111110=>254
[8,7,6,5,4,3,2,9,1]=>11111110=>254
[8,7,6,5,4,3,2,1,9]=>11111110=>254
[9,10,8,7,6,5,4,3,2,1]=>111111110=>510
[7,8,9,6,5,4,3,2,1]=>11111100=>252
[9,8,10,7,6,5,4,3,2,1]=>111111110=>510
[8,6,7,9,5,4,3,2,1]=>11111100=>252
[9,8,7,10,6,5,4,3,2,1]=>111111110=>510
[8,7,5,6,9,4,3,2,1]=>11111010=>250
[9,8,7,6,10,5,4,3,2,1]=>111111110=>510
[8,7,6,4,5,9,3,2,1]=>11110110=>246
[9,8,7,6,5,10,4,3,2,1]=>111111110=>510
[8,7,6,5,3,4,9,2,1]=>11101110=>238
[9,8,7,6,5,4,10,3,2,1]=>111111110=>510
[8,7,6,5,4,2,3,9,1]=>11011110=>222
[9,8,7,6,5,4,3,10,2,1]=>111111110=>510
[8,7,6,5,4,3,1,2,9]=>10111110=>190
[9,8,7,6,5,4,3,2,10,1]=>111111110=>510
[9,8,7,6,5,4,3,2,1,10]=>111111110=>510
[1,4,2,7,8,6,3,5]=>0110010=>50
[1,6,2,4,8,5,3,7]=>0110100=>52
[1,6,2,4,7,5,3,8]=>0110100=>52
[1,7,3,8,5,2,4,6]=>0110100=>52
[1,7,3,2,8,6,4,5]=>0111010=>58
[4,2,5,7,8,6,1,3]=>1100010=>98
[7,2,3,1,8,5,6,4]=>1101100=>108
[8,2,5,1,7,3,4,6]=>1110000=>112
[6,2,1,8,3,4,7,5]=>1110100=>116
[6,2,8,3,5,1,7,4]=>1111000=>120
[6,2,4,8,5,7,1,3]=>1100100=>100
[1,3,6,4,8,5,7,2]=>0101100=>44
[1,3,6,4,7,5,8,2]=>0101100=>44
[6,2,4,7,5,8,1,3]=>1100100=>100
[6,2,1,3,7,8,4,5]=>1101000=>104
[7,8,2,1,4,3,5,6]=>1110000=>112
[7,6,4,2,3,1,8,5]=>1101110=>110
[5,7,2,3,1,6,8,4]=>1101000=>104
[7,5,4,2,6,8,1,3]=>1101100=>108
[1,7,5,3,4,6,8,2]=>0110100=>52
[8,2,5,4,6,7,1,3]=>1101000=>104
[5,2,6,3,1,8,7,4]=>1111001=>121
[8,2,6,4,3,1,7,5]=>1111100=>124
[8,2,7,4,1,3,5,6]=>1101000=>104
[1,2,8,4,3,5,6,7]=>0011000=>24
[1,7,4,2,3,5,6,8]=>0101000=>40
[6,8,4,1,3,2,5,7]=>1101000=>104
[1,8,7,4,3,2,5,6]=>0111001=>57
[1,6,3,8,2,4,7,5]=>0110100=>52
[5,3,8,1,2,7,4,6]=>1011000=>88
[5,1,8,3,2,6,4,7]=>1111000=>120
[5,7,3,1,2,6,4,8]=>1011000=>88
[1,7,5,4,2,6,3,8]=>0111100=>60
[1,5,8,2,4,6,3,7]=>0110000=>48
[1,5,8,4,2,7,3,6]=>0111000=>56
[1,4,6,2,8,3,7,5]=>0110100=>52
[5,3,1,6,7,2,4,8]=>1110000=>112
[5,3,6,1,2,8,4,7]=>1011000=>88
[1,6,3,2,7,8,4,5]=>0111000=>56
[1,7,4,5,3,8,6,2]=>0111010=>58
[6,3,4,1,2,5,8,7]=>1010001=>81
[6,3,1,4,2,7,5,8]=>1110100=>116
[1,8,3,2,4,5,6,7]=>0110000=>48
[8,6,3,2,4,1,7,5]=>1110110=>118
[8,5,3,2,6,7,1,4]=>1110100=>116
[4,5,2,6,8,1,7,3]=>1110000=>112
[4,2,5,6,7,8,1,3]=>1100000=>96
[5,2,3,6,7,1,8,4]=>1101000=>104
[6,2,3,4,1,7,8,5]=>1100100=>100
[7,2,3,1,4,5,8,6]=>1100010=>98
[8,6,1,4,3,2,5,7]=>1110010=>114
[8,3,1,6,5,2,4,7]=>1110100=>116
[3,7,5,1,8,2,4,6]=>1100100=>100
[4,1,5,2,8,7,3,6]=>1110001=>113
[8,1,2,4,6,5,3,7]=>1010100=>84
[8,1,2,5,4,6,3,7]=>1011000=>88
[8,2,6,5,1,3,4,7]=>1100100=>100
[8,3,1,6,2,5,4,7]=>1111000=>120
[8,1,2,6,4,5,3,7]=>1011000=>88
[8,1,2,5,6,4,3,7]=>1011000=>88
[8,1,2,6,5,4,3,7]=>1011100=>92
[1,7,5,4,2,8,3,6]=>0111100=>60
[5,1,4,8,2,7,3,6]=>1110000=>112
[1,4,6,8,2,7,3,5]=>0110000=>48
[1,4,7,6,2,8,3,5]=>0110010=>50
[5,1,4,7,2,8,3,6]=>1110000=>112
[1,7,4,5,2,8,3,6]=>0111000=>56
[3,7,5,1,2,8,4,6]=>1001100=>76
[5,7,2,8,1,3,4,6]=>1100000=>96
[5,2,8,7,1,3,4,6]=>1100001=>97
[4,1,5,8,2,7,3,6]=>1110000=>112
[1,4,6,2,8,7,3,5]=>0110001=>49
[1,4,2,8,6,7,3,5]=>0110010=>50
[3,1,2,6,4,8,7,5]=>1001101=>77
[2,1,7,6,3,4,8,5]=>1010110=>86
[3,1,2,7,4,6,8,5]=>1001100=>76
[1,4,7,2,6,8,3,5]=>0110000=>48
[1,2,3,6,8,5,7,4]=>0001100=>12
[5,1,4,2,7,8,3,6]=>1110000=>112
[1,4,2,7,6,8,3,5]=>0110010=>50
[1,4,2,6,8,7,3,5]=>0110001=>49
[3,1,2,8,4,6,7,5]=>1001100=>76
[3,1,2,7,6,4,8,5]=>1001110=>78
[5,3,7,1,8,2,4,6]=>1110000=>112
[1,7,4,3,2,5,8,6]=>0111010=>58
[4,8,7,2,1,3,5,6]=>1100001=>97
[1,8,7,3,4,2,5,6]=>0110001=>49
[3,1,7,8,2,6,4,5]=>1101000=>104
[1,4,2,7,8,3,6,5]=>0110100=>52
[5,2,8,1,3,4,7,6]=>1100010=>98
[2,1,8,6,3,4,7,5]=>1010110=>86
[1,4,2,6,8,3,7,5]=>0110100=>52
[1,2,3,7,8,5,6,4]=>0001100=>12
[1,2,3,7,5,8,6,4]=>0001110=>14
[1,4,2,7,3,8,6,5]=>0110110=>54
[3,1,7,2,8,6,4,5]=>1101010=>106
[2,1,7,8,3,4,6,5]=>1010100=>84
[1,2,3,8,7,5,6,4]=>0001101=>13
[10,1,2,3,4,5,6,7,8,9]=>100000000=>256
[10,1,2,3,4,5,6,9,7,8]=>100000100=>260
[10,1,2,3,4,5,9,6,7,8]=>100001000=>264
[9,1,2,3,4,10,5,6,7,8]=>100010000=>272
[10,1,2,3,9,4,5,6,7,8]=>100100000=>288
[10,1,2,9,3,4,5,6,7,8]=>101000000=>320
[9,1,10,2,3,4,5,6,7,8]=>110000000=>384
[10,9,1,2,3,4,5,6,7,8]=>100000001=>257
[8,1,2,3,4,5,6,9,10,7]=>100000100=>260
[7,1,2,3,4,5,10,9,6,8]=>100001001=>265
[6,1,2,3,4,10,9,5,7,8]=>100010001=>273
[5,1,2,3,9,10,4,6,7,8]=>100100000=>288
[4,1,2,10,9,3,5,6,7,8]=>101000001=>321
[3,1,10,9,2,4,5,6,7,8]=>110000001=>385
[2,9,10,1,3,4,5,6,7,8]=>100000000=>256
[4,7,8,5,6,2,1,3]=>1100100=>100
[5,7,8,4,2,6,1,3]=>1101000=>104
[6,7,8,4,2,5,1,3]=>1101000=>104
[8,6,3,7,2,1,5,4]=>1111010=>122
[7,6,3,8,2,1,5,4]=>1111010=>122
[6,7,8,3,2,1,5,4]=>1111000=>120
[5,7,8,3,2,1,6,4]=>1111000=>120
[2,7,8,4,3,5,6,1]=>1011000=>88
[3,7,8,4,2,5,1,6]=>1101000=>104
[4,7,8,3,2,1,5,6]=>1110000=>112
[5,7,8,3,2,1,4,6]=>1110000=>112
[7,6,3,8,2,1,4,5]=>1110010=>114
[8,6,3,7,2,1,4,5]=>1110010=>114
[5,6,3,8,2,1,4,7]=>1110000=>112
[3,6,4,8,2,5,1,7]=>1101000=>104
[2,6,4,8,3,5,7,1]=>1011000=>88
[2,6,4,7,3,5,8,1]=>1011000=>88
[3,6,4,7,2,5,1,8]=>1101000=>104
[4,6,3,7,2,1,5,8]=>1110000=>112
[5,6,3,7,2,1,4,8]=>1110000=>112
[8,4,3,2,1,6,5,7]=>1111100=>124
[6,4,3,2,1,7,5,8]=>1111100=>124
[4,5,3,2,7,1,6,8]=>1110000=>112
[3,5,4,2,8,6,1,7]=>1101010=>106
[6,4,3,2,1,8,5,7]=>1111100=>124
[7,4,3,2,1,8,5,6]=>1111100=>124
[8,4,3,2,1,7,5,6]=>1111100=>124
[8,4,3,2,1,7,6,5]=>1111110=>126
[7,4,3,2,1,8,6,5]=>1111110=>126
[6,4,3,2,1,8,7,5]=>1111101=>125
[5,6,3,8,2,1,7,4]=>1111000=>120
[7,5,3,2,8,1,6,4]=>1111100=>124
[8,5,4,2,7,6,1,3]=>1101110=>110
[7,5,4,2,8,6,1,3]=>1101110=>110
[6,5,4,2,8,7,1,3]=>1101101=>109
[4,6,5,8,7,2,1,3]=>1100101=>101
[2,6,5,7,8,3,4,1]=>1010100=>84
[6,5,4,2,7,8,1,3]=>1101100=>108
[8,5,4,2,6,7,1,3]=>1101100=>108
[8,5,3,2,6,1,7,4]=>1111100=>124
[7,5,3,2,6,1,8,4]=>1111100=>124
[5,6,3,7,2,1,8,4]=>1111000=>120
[4,6,3,7,2,1,8,5]=>1110100=>116
[3,6,4,7,2,8,1,5]=>1101000=>104
[2,6,4,7,3,8,5,1]=>1011100=>92
[3,5,4,2,7,8,1,6]=>1101000=>104
[4,5,3,2,7,1,8,6]=>1110010=>114
[7,4,3,2,1,6,8,5]=>1111100=>124
[8,4,3,2,1,6,7,5]=>1111100=>124
[8,4,3,2,1,5,7,6]=>1111010=>122
[7,4,3,2,1,5,8,6]=>1111010=>122
[6,4,3,2,1,5,8,7]=>1111001=>121
[3,5,4,2,6,8,1,7]=>1101000=>104
[5,6,3,4,1,2,8,7]=>1010001=>81
[8,5,3,7,2,6,4,1]=>1111100=>124
[8,5,7,4,2,6,3,1]=>1111100=>124
[7,5,8,4,2,6,1,3]=>1101100=>108
[2,1,7,8,5,6,3,4]=>1010100=>84
[6,8,3,7,5,1,4,2]=>1110100=>116
[5,7,3,8,1,6,2,4]=>1110000=>112
[3,2,6,4,8,5,1,7]=>1101100=>108
[3,2,5,8,4,6,1,7]=>1101000=>104
[3,5,2,4,1,7,6,8]=>1100010=>98
[4,2,1,5,7,3,6,8]=>1110000=>112
[4,5,2,3,7,1,6,8]=>1100000=>96
[4,2,5,3,8,1,6,7]=>1110000=>112
[4,2,5,8,3,1,6,7]=>1110000=>112
[3,1,5,4,2,8,6,7]=>1101010=>106
[4,1,5,3,8,2,6,7]=>1110000=>112
[4,1,5,8,3,2,6,7]=>1110000=>112
[4,3,8,5,2,1,6,7]=>1110100=>116
[4,7,3,5,2,1,6,8]=>1110000=>112
[4,3,2,7,5,1,6,8]=>1110100=>116
[4,3,6,2,5,1,7,8]=>1110000=>112
[4,6,3,2,5,1,7,8]=>1110000=>112
[4,6,7,1,3,2,5,8]=>1100000=>96
[4,5,1,7,3,2,6,8]=>1110000=>112
[4,5,1,3,7,2,6,8]=>1100000=>96
[3,5,1,4,2,7,6,8]=>1100010=>98
[2,5,1,4,3,7,8,6]=>1010010=>82
[5,2,1,4,3,7,8,6]=>1110010=>114
[5,3,1,4,2,7,6,8]=>1110010=>114
[4,3,1,5,7,2,6,8]=>1110000=>112
[4,3,1,7,5,2,6,8]=>1110100=>116
[4,3,6,1,5,2,7,8]=>1110000=>112
[4,6,3,1,5,2,7,8]=>1110000=>112
[5,3,6,4,1,2,7,8]=>1011000=>88
[4,3,6,1,7,2,5,8]=>1110000=>112
[6,3,4,1,2,7,5,8]=>1010100=>84
[6,2,4,1,3,7,8,5]=>1100100=>100
[3,6,4,1,2,7,5,8]=>1001100=>76
[4,6,3,1,7,2,5,8]=>1110000=>112
[5,3,6,2,1,4,7,8]=>1110000=>112
[5,6,2,7,1,3,4,8]=>1100000=>96
[4,5,2,7,3,1,6,8]=>1110000=>112
[4,6,7,2,3,1,5,8]=>1100000=>96
[4,6,2,1,7,3,5,8]=>1110000=>112
[3,2,6,1,4,7,5,8]=>1100100=>100
[3,6,2,1,4,7,5,8]=>1100100=>100
[3,6,7,2,4,5,1,8]=>1100000=>96
[3,5,2,7,4,6,1,8]=>1101000=>104
[3,7,2,4,8,5,1,6]=>1100100=>100
[7,2,1,4,6,3,8,5]=>1110100=>116
[7,3,1,4,6,8,2,5]=>1110000=>112
[3,2,6,1,5,7,4,8]=>1101000=>104
[3,6,2,1,5,7,4,8]=>1101000=>104
[6,3,2,1,5,7,4,8]=>1111000=>120
[6,4,2,1,5,3,7,8]=>1111000=>120
[4,2,6,1,5,3,7,8]=>1110000=>112
[4,2,1,7,5,3,6,8]=>1110100=>116
[7,4,1,5,6,2,3,8]=>1101000=>104
[7,3,1,5,2,6,4,8]=>1111000=>120
[7,2,1,5,3,6,8,4]=>1111000=>120
[6,2,5,1,3,7,8,4]=>1101000=>104
[6,3,5,1,2,7,4,8]=>1011000=>88
[6,4,5,1,7,2,3,8]=>1101000=>104
[5,2,6,4,1,3,7,8]=>1101000=>104
[4,6,5,1,7,2,3,8]=>1100100=>100
[3,6,5,1,2,7,4,8]=>1001100=>76
[6,5,2,1,4,7,8,3]=>1110100=>116
[6,5,3,1,4,7,2,8]=>1110100=>116
[2,3,1,8,5,4,7,6]=>1001110=>78
[2,4,1,5,8,3,7,6]=>1010010=>82
[2,4,1,5,3,8,7,6]=>1010011=>83
[3,4,5,1,2,8,7,6]=>1000011=>67
[3,4,5,1,8,2,7,6]=>1100010=>98
[1,8,4,5,3,2,7,6]=>0111010=>58
[2,4,8,5,3,1,7,6]=>1010110=>86
[3,4,5,8,2,1,7,6]=>1100010=>98
[3,4,5,2,8,1,7,6]=>1100010=>98
[3,4,6,2,1,7,8,5]=>1100100=>100
[3,4,6,2,1,7,5,8]=>1100100=>100
[3,5,6,2,7,1,4,8]=>1100000=>96
[3,5,6,2,7,1,8,4]=>1101000=>104
[3,5,6,2,7,8,1,4]=>1100000=>96
[3,4,6,2,8,7,1,5]=>1100001=>97
[3,4,6,8,2,7,1,5]=>1100000=>96
[2,4,8,6,3,7,1,5]=>1010010=>82
[1,8,4,6,3,7,2,5]=>0111000=>56
[1,8,4,6,3,7,5,2]=>0111100=>60
[3,4,6,8,2,7,5,1]=>1100100=>100
[3,4,6,2,8,7,5,1]=>1100101=>101
[3,5,6,2,7,8,4,1]=>1101000=>104
[3,5,6,2,7,4,1,8]=>1101000=>104
[4,5,6,7,2,8,3,1]=>1110000=>112
[3,5,6,8,7,2,4,1]=>1100001=>97
[2,5,8,6,7,3,4,1]=>1010010=>82
[1,8,5,6,7,3,4,2]=>0110100=>52
[1,8,5,6,7,3,2,4]=>0110100=>52
[2,5,8,6,7,3,1,4]=>1010010=>82
[3,5,6,8,7,2,1,4]=>1100001=>97
[4,5,6,7,2,1,8,3]=>1110000=>112
[3,4,6,1,8,7,2,5]=>1100001=>97
[2,4,1,6,8,7,3,5]=>1010001=>81
[2,3,1,8,6,7,4,5]=>1001010=>74
[1,8,3,2,6,7,5,4]=>0111100=>60
[2,5,1,6,7,8,4,3]=>1011000=>88
[2,5,1,6,7,4,8,3]=>1011000=>88
[2,5,1,6,7,4,3,8]=>1011000=>88
[3,5,6,1,7,4,2,8]=>1101000=>104
[3,5,6,1,7,4,8,2]=>1101000=>104
[3,4,6,1,8,7,5,2]=>1100101=>101
[3,4,6,8,1,7,5,2]=>1100100=>100
[2,4,8,6,1,7,5,3]=>1010110=>86
[1,8,4,6,2,7,5,3]=>0111100=>60
[1,8,5,6,7,2,4,3]=>0110100=>52
[2,5,8,6,7,1,4,3]=>1010010=>82
[3,5,6,8,7,1,4,2]=>1100001=>97
[4,5,6,7,8,1,3,2]=>1100000=>96
[4,5,6,7,1,3,8,2]=>1100000=>96
[4,5,6,7,1,3,2,8]=>1100000=>96
[4,5,6,7,3,1,8,2]=>1110000=>112
[3,5,6,8,7,4,1,2]=>1001001=>73
[2,5,8,6,7,4,1,3]=>1001010=>74
[1,8,5,6,7,4,2,3]=>0101100=>44
[1,8,5,6,7,4,3,2]=>0111100=>60
[2,5,8,6,7,4,3,1]=>1011010=>90
[8,2,5,3,7,1,6,4]=>1111000=>120
[8,2,4,3,7,1,6,5]=>1110100=>116
[5,8,2,4,3,7,1,6]=>1110000=>112
[4,2,5,6,1,8,3,7]=>1110000=>112
[4,2,5,6,1,7,3,8]=>1110000=>112
[6,1,5,7,3,2,4,8]=>1110000=>112
[6,1,5,8,3,2,4,7]=>1110000=>112
[3,8,2,4,7,1,5,6]=>1100000=>96
[3,6,8,2,4,7,1,5]=>1100000=>96
[4,3,5,6,7,1,8,2]=>1110000=>112
[3,7,1,5,6,8,2,4]=>1100000=>96
[3,7,1,5,8,2,4,6]=>1100000=>96
[8,3,2,4,6,1,5,7]=>1110000=>112
[7,3,2,4,6,1,5,8]=>1110000=>112
[3,2,5,1,7,4,6,8]=>1101000=>104
[3,2,5,1,8,4,6,7]=>1101000=>104
[3,2,5,1,7,8,4,6]=>1101000=>104
[7,8,3,2,4,6,1,5]=>1110000=>112
[6,1,5,7,8,3,2,4]=>1110000=>112
[4,2,5,6,1,7,8,3]=>1110000=>112
[5,7,6,1,8,3,4,2]=>1110010=>114
[5,8,6,1,7,3,4,2]=>1110010=>114
[6,1,5,8,7,3,2,4]=>1110001=>113
[8,7,3,2,4,6,1,5]=>1110001=>113
[3,2,5,1,8,7,4,6]=>1101001=>105
[3,2,5,1,6,4,7,8]=>1101000=>104
[3,2,4,1,8,7,5,6]=>1100101=>101
[3,2,5,1,6,8,7,4]=>1101001=>105
[3,8,6,5,1,7,4,2]=>1101110=>110
[3,7,6,5,1,8,4,2]=>1101110=>110
[6,5,1,7,8,4,2,3]=>1101100=>108
[3,2,5,1,6,7,8,4]=>1101000=>104
[3,2,4,1,8,5,6,7]=>1100100=>100
[3,2,4,1,7,5,6,8]=>1100100=>100
[3,2,4,1,6,8,5,7]=>1100100=>100
[3,2,4,1,8,5,7,6]=>1100110=>102
[8,3,2,4,7,6,1,5]=>1110010=>114
[3,2,5,1,8,4,7,6]=>1101010=>106
[3,2,5,1,6,7,4,8]=>1101000=>104
[6,5,1,7,4,2,3,8]=>1101100=>108
[6,5,1,8,4,2,3,7]=>1101100=>108
[8,4,2,3,7,5,1,6]=>1101100=>108
[4,2,6,1,8,3,7,5]=>1110100=>116
[5,2,6,1,8,3,7,4]=>1111000=>120
[8,4,6,1,7,3,5,2]=>1111000=>120
[5,2,6,1,8,4,7,3]=>1111000=>120
[7,4,2,3,8,5,1,6]=>1101100=>108
[8,5,1,6,4,2,3,7]=>1101100=>108
[7,5,1,6,4,2,3,8]=>1101100=>108
[3,2,5,1,7,6,4,8]=>1101010=>106
[3,2,5,1,8,6,4,7]=>1101010=>106
[7,3,2,4,8,6,1,5]=>1110010=>114
[8,6,1,5,7,3,2,4]=>1110010=>114
[4,2,6,1,8,5,7,3]=>1110100=>116
[8,5,6,1,7,3,4,2]=>1110100=>116
[3,6,8,5,1,7,4,2]=>1101100=>108
[8,5,1,6,7,4,2,3]=>1101100=>108
[3,2,5,1,8,6,7,4]=>1101010=>106
[3,2,4,1,8,6,5,7]=>1100110=>102
[3,2,4,1,5,8,6,7]=>1100010=>98
[3,2,5,1,7,8,6,4]=>1101010=>106
[7,8,5,1,6,4,2,3]=>1101100=>108
[3,8,5,1,7,6,4,2]=>1101110=>110
[3,7,5,1,8,6,4,2]=>1101110=>110
[8,7,5,1,6,4,2,3]=>1101101=>109
[3,2,5,1,8,7,6,4]=>1101011=>107
[6,5,7,3,1,8,4,2]=>1111100=>124
[4,6,3,7,1,8,5,2]=>1110100=>116
[4,6,3,7,5,1,8,2]=>1110100=>116
[4,2,6,1,7,5,3,8]=>1110100=>116
[2,5,7,4,1,6,3,8]=>1011000=>88
[2,5,7,4,1,6,8,3]=>1011000=>88
[5,4,7,3,6,1,8,2]=>1111000=>120
[5,4,7,8,3,1,6,2]=>1111000=>120
[4,3,7,5,1,8,6,2]=>1110110=>118
[6,4,3,8,5,1,7,2]=>1111100=>124
[5,8,4,3,6,1,7,2]=>1111000=>120
[5,4,8,3,6,1,7,2]=>1111000=>120
[5,4,3,6,7,1,8,2]=>1111000=>120
[2,5,4,6,1,7,3,8]=>1011000=>88
[3,2,5,8,1,6,7,4]=>1101000=>104
[2,5,4,6,8,1,7,3]=>1011000=>88
[5,2,8,4,1,6,7,3]=>1111000=>120
[4,6,2,1,8,5,7,3]=>1110100=>116
[2,4,1,7,5,8,6,3]=>1010110=>86
[2,4,1,7,5,3,8,6]=>1010110=>86
[2,6,4,1,8,5,3,7]=>1011100=>92
[5,4,8,2,1,6,3,7]=>1111000=>120
[2,5,8,4,1,6,3,7]=>1011000=>88
[3,2,5,6,1,8,4,7]=>1101000=>104
[4,8,3,2,6,1,5,7]=>1110000=>112
[3,5,2,8,1,6,4,7]=>1101000=>104
[3,2,1,6,8,5,4,7]=>1101100=>108
[3,2,7,1,5,4,8,6]=>1101010=>106
[3,2,7,1,5,8,6,4]=>1101010=>106
[3,8,2,5,1,6,7,4]=>1101000=>104
[4,8,3,2,6,7,1,5]=>1110000=>112
[4,3,8,2,6,7,1,5]=>1110000=>112
[4,3,2,6,7,8,1,5]=>1110000=>112
[4,3,2,6,7,1,5,8]=>1110000=>112
[4,3,7,2,6,8,1,5]=>1110000=>112
[4,3,7,8,2,6,1,5]=>1110000=>112
[2,5,7,4,8,1,6,3]=>1011000=>88
[3,2,5,7,8,1,6,4]=>1101000=>104
[3,2,5,7,1,6,8,4]=>1101000=>104
[3,2,5,7,1,6,4,8]=>1101000=>104
[6,3,2,7,1,5,4,8]=>1111000=>120
[6,3,2,7,1,5,8,4]=>1111000=>120
[6,3,2,7,8,1,5,4]=>1111000=>120
[4,2,6,1,7,8,5,3]=>1110100=>116
[6,5,2,1,7,8,4,3]=>1111100=>124
[2,1,7,5,3,8,6,4]=>1011110=>94
[6,2,1,8,5,3,7,4]=>1111100=>124
[6,3,2,7,1,4,8,5]=>1110100=>116
[6,3,2,1,4,7,8,5]=>1110100=>116
[6,3,2,1,4,7,5,8]=>1110100=>116
[3,5,2,1,7,4,6,8]=>1101000=>104
[3,5,2,1,7,8,4,6]=>1101000=>104
[5,8,4,2,1,7,3,6]=>1111000=>120
[4,6,2,1,8,3,7,5]=>1110100=>116
[2,4,1,7,3,8,6,5]=>1010110=>86
[3,2,7,1,4,8,6,5]=>1100110=>102
[3,5,8,2,1,7,4,6]=>1101000=>104
[4,8,3,7,2,1,5,6]=>1110000=>112
[4,3,7,2,8,1,5,6]=>1110000=>112
[4,3,7,2,1,5,6,8]=>1110000=>112
[4,8,3,2,7,1,5,6]=>1110000=>112
[3,5,2,8,1,7,4,6]=>1101000=>104
[6,3,2,8,1,4,7,5]=>1110100=>116
[3,2,1,4,7,5,8,6]=>1100110=>102
[5,3,2,1,8,4,6,7]=>1111000=>120
[4,8,3,2,1,5,6,7]=>1110000=>112
[4,3,8,2,1,5,6,7]=>1110000=>112
[1,9,8,7,6,5,4,3,2]=>01111111=>127
[8,7,6,4,5,3,2,1,9]=>11110110=>246
[1,9,8,7,5,6,4,3,2]=>01111011=>123
[1,10,9,8,7,6,5,4,3,2]=>011111111=>255
[9,8,7,5,6,4,3,2,1,10]=>111110110=>502
[8,7,5,4,6,3,2,1,9]=>11111010=>250
[8,7,4,6,5,3,2,1,9]=>11111010=>250
[1,9,8,6,5,7,4,3,2]=>01111101=>125
[1,9,8,5,7,6,4,3,2]=>01111101=>125
[1,10,9,8,6,7,5,4,3,2]=>011111011=>251
[6,2,3,1,5,4,8,7]=>1101001=>105
[8,4,5,2,3,1,7,6]=>1101010=>106
[8,6,7,2,5,3,4,1]=>1110010=>114
[8,2,5,3,4,1,7,6]=>1110010=>114
[6,2,5,3,4,1,8,7]=>1110001=>113
[6,1,5,2,4,3,8,7]=>1110001=>113
[6,4,5,1,3,2,8,7]=>1101001=>105
[6,1,5,3,4,2,8,7]=>1110001=>113
[6,3,5,1,4,2,8,7]=>1110001=>113
[8,3,5,2,4,1,7,6]=>1110010=>114
[8,3,7,5,6,2,4,1]=>1110100=>116
[8,3,7,2,4,1,6,5]=>1110100=>116
[8,3,5,1,4,2,7,6]=>1110010=>114
[8,1,5,3,4,2,7,6]=>1110010=>114
[8,4,5,1,3,2,7,6]=>1101010=>106
[2,1,8,4,5,3,7,6]=>1011010=>90
[8,6,7,4,5,1,3,2]=>1101010=>106
[8,6,7,1,5,3,4,2]=>1110010=>114
[8,6,7,3,5,1,4,2]=>1110010=>114
[8,3,7,5,6,1,4,2]=>1110100=>116
[8,5,7,3,6,1,4,2]=>1110100=>116
[8,3,7,4,6,2,5,1]=>1111000=>120
[8,3,7,4,6,1,5,2]=>1111000=>120
[8,3,7,1,6,4,5,2]=>1111000=>120
[8,1,7,3,6,4,5,2]=>1111000=>120
[8,1,7,5,6,3,4,2]=>1110100=>116
[8,4,7,5,6,1,3,2]=>1101100=>108
[2,1,8,4,7,5,6,3]=>1011100=>92
[8,1,7,3,4,2,6,5]=>1110100=>116
[8,1,7,3,6,2,5,4]=>1111000=>120
[8,3,7,1,6,2,5,4]=>1111000=>120
[8,3,7,2,6,4,5,1]=>1111000=>120
[8,2,7,3,6,4,5,1]=>1111000=>120
[8,2,7,3,6,1,5,4]=>1111000=>120
[8,2,7,1,6,3,5,4]=>1111000=>120
[8,1,7,2,4,3,6,5]=>1110100=>116
[8,1,3,2,7,4,6,5]=>1101100=>108
[2,1,8,3,7,4,6,5]=>1011100=>92
[8,1,5,2,4,3,7,6]=>1110010=>114
[8,2,7,1,4,3,6,5]=>1110100=>116
[8,2,7,3,4,1,6,5]=>1110100=>116
[8,2,7,5,6,3,4,1]=>1110100=>116
[8,4,7,5,6,2,3,1]=>1101100=>108
[8,4,7,2,3,1,6,5]=>1101100=>108
[8,2,3,1,7,4,6,5]=>1101100=>108
[8,2,3,1,5,4,7,6]=>1101010=>106
[4,2,3,1,8,5,7,6]=>1100110=>102
[4,1,3,2,8,6,7,5]=>1100110=>102
[8,6,7,2,3,1,5,4]=>1101010=>106
[8,2,3,1,7,5,6,4]=>1101100=>108
[8,5,7,2,6,3,4,1]=>1110100=>116
[8,5,7,2,6,1,4,3]=>1110100=>116
[8,2,7,5,6,1,4,3]=>1110100=>116
[8,6,7,2,5,1,4,3]=>1110010=>114
[8,6,7,1,5,2,4,3]=>1110010=>114
[8,6,7,1,3,2,5,4]=>1101010=>106
[2,1,8,6,7,3,5,4]=>1011010=>90
[2,1,8,3,7,5,6,4]=>1011100=>92
[8,1,3,2,7,5,6,4]=>1101100=>108
[8,1,7,5,6,2,4,3]=>1110100=>116
[8,1,7,2,6,4,5,3]=>1111000=>120
[8,2,7,1,6,4,5,3]=>1111000=>120
[8,2,7,4,6,1,5,3]=>1111000=>120
[8,2,7,4,6,3,5,1]=>1111000=>120
[8,4,7,2,6,3,5,1]=>1111000=>120
[8,4,7,2,6,1,5,3]=>1111000=>120
[8,4,7,1,6,2,5,3]=>1111000=>120
[8,1,7,4,6,2,5,3]=>1111000=>120
[8,5,7,1,6,2,4,3]=>1110100=>116
[2,1,8,5,7,3,6,4]=>1011100=>92
[8,5,7,4,6,1,3,2]=>1101100=>108
[8,5,7,1,6,3,4,2]=>1110100=>116
[8,1,7,4,6,3,5,2]=>1111000=>120
[8,4,7,1,6,3,5,2]=>1111000=>120
[8,4,7,3,6,1,5,2]=>1111000=>120
[2,4,8,3,6,1,7,5]=>1010100=>84
[6,5,8,1,3,2,7,4]=>1101100=>108
[4,5,8,6,3,2,7,1]=>1110010=>114
[6,5,8,7,3,1,2,4]=>1010101=>85
[1,5,8,7,3,6,2,4]=>0110001=>49
[1,7,2,8,4,6,5,3]=>0111100=>60
[6,7,2,8,4,1,5,3]=>1111000=>120
[3,6,2,8,4,5,7,1]=>1101000=>104
[2,6,1,8,4,5,7,3]=>1011000=>88
[2,8,4,6,1,5,7,3]=>1011000=>88
[6,3,1,8,4,5,7,2]=>1111000=>120
[3,1,6,8,4,5,7,2]=>1101000=>104
[2,3,6,8,4,5,7,1]=>1001000=>72
[6,3,7,8,4,1,5,2]=>1111000=>120
[1,3,7,8,4,6,5,2]=>0101100=>44
[1,5,7,8,2,4,6,3]=>0110000=>48
[5,1,7,8,2,4,6,3]=>1110000=>112
[3,6,7,8,4,2,5,1]=>1101000=>104
[7,6,1,8,4,2,5,3]=>1111010=>122
[5,6,8,7,3,2,1,4]=>1110001=>113
[2,8,3,7,1,6,5,4]=>1011100=>92
[5,2,8,7,3,6,1,4]=>1110001=>113
[7,2,1,8,4,6,5,3]=>1111100=>124
[3,2,7,8,4,6,5,1]=>1101100=>108
[5,2,7,8,1,4,6,3]=>1110000=>112
[1,2,7,8,5,4,6,3]=>0011100=>28
[4,2,1,3,8,5,6,7]=>1100100=>100
[7,2,5,8,3,4,6,1]=>1110000=>112
[6,2,8,5,4,3,1,7]=>1111100=>124
[2,8,3,5,4,1,6,7]=>1011000=>88
[2,8,4,5,3,1,6,7]=>1011000=>88
[6,4,8,5,2,3,1,7]=>1101100=>108
[7,3,5,8,2,4,6,1]=>1110000=>112
[4,3,1,2,8,5,6,7]=>1010100=>84
[3,4,2,1,8,5,6,7]=>1100100=>100
[2,7,6,8,4,3,5,1]=>1011010=>90
[5,7,1,8,3,4,6,2]=>1110000=>112
[3,7,5,8,1,4,6,2]=>1100100=>100
[1,7,5,8,3,4,6,2]=>0110100=>52
[1,6,8,5,4,3,2,7]=>0111100=>60
[4,6,8,5,1,3,2,7]=>1100100=>100
[5,6,8,1,4,3,2,7]=>1110000=>112
[7,5,8,6,3,4,2,1]=>1110110=>118
[2,4,8,3,6,5,1,7]=>1010100=>84
[2,8,4,1,5,6,3,7]=>1011000=>88
[4,1,8,3,5,6,2,7]=>1110000=>112
[5,6,8,4,1,3,2,7]=>1101000=>104
[4,6,8,1,5,3,2,7]=>1110000=>112
[1,6,8,4,5,3,2,7]=>0111000=>56
[1,7,3,8,5,4,6,2]=>0111100=>60
[3,7,1,8,5,4,6,2]=>1101100=>108
[2,7,3,8,4,6,5,1]=>1011100=>92
[7,1,3,8,4,6,5,2]=>1101100=>108
[5,7,8,4,3,6,1,2]=>1011000=>88
[2,8,7,4,1,6,5,3]=>1011101=>93
[2,8,5,4,3,1,6,7]=>1011100=>92
[6,5,8,4,2,3,1,7]=>1101100=>108
[4,1,3,2,8,5,6,7]=>1100100=>100
[1,4,3,2,8,5,6,7]=>0110100=>52
[7,3,2,8,5,4,6,1]=>1111100=>124
[6,4,8,2,5,3,1,7]=>1111000=>120
[2,8,4,3,5,1,6,7]=>1011000=>88
[2,8,3,4,5,1,6,7]=>1010000=>80
[6,2,8,4,5,3,1,7]=>1111000=>120
[7,2,3,8,5,4,6,1]=>1101100=>108
[4,2,3,1,8,5,6,7]=>1100100=>100
[3,2,1,4,8,5,6,7]=>1100100=>100
[5,1,3,2,4,8,6,7]=>1100010=>98
[2,8,1,5,3,4,7,6]=>1010010=>82
[1,2,8,4,5,3,7,6]=>0011010=>26
[1,4,2,8,5,3,6,7]=>0110100=>52
[1,8,4,2,5,3,6,7]=>0111000=>56
[8,1,5,3,2,4,6,7]=>1110000=>112
[3,8,1,5,2,4,6,7]=>1100000=>96
[3,5,1,4,8,2,6,7]=>1100000=>96
[1,5,2,8,4,3,6,7]=>0111000=>56
[1,2,8,5,4,3,6,7]=>0011100=>28
[1,2,5,4,3,8,6,7]=>0011010=>26
[1,2,4,8,5,3,7,6]=>0010110=>22
[1,2,7,4,8,5,3,6]=>0011100=>28
[1,5,2,7,8,4,3,6]=>0111000=>56
[5,1,2,7,4,8,3,6]=>1011000=>88
[8,3,5,1,4,7,2,6]=>1110000=>112
[2,8,1,5,4,7,3,6]=>1011000=>88
[1,2,8,5,7,4,3,6]=>0011100=>28
[1,2,4,8,7,5,3,6]=>0010101=>21
[2,8,1,4,3,7,6,5]=>1010110=>86
[6,1,2,8,7,4,3,5]=>1011001=>89
[6,4,1,2,8,7,3,5]=>1011001=>89
[3,6,4,8,1,7,2,5]=>1101000=>104
[7,6,1,4,2,8,3,5]=>1110010=>114
[7,1,6,2,8,4,3,5]=>1111000=>120
[1,6,7,2,8,4,3,5]=>0111000=>56
[6,7,1,4,2,8,3,5]=>1110000=>112
[6,3,7,1,4,8,2,5]=>1110000=>112
[3,7,8,1,5,2,4,6]=>1100000=>96
[7,1,2,8,5,3,4,6]=>1010100=>84
[1,7,2,8,4,5,3,6]=>0111000=>56
[1,4,2,7,8,5,3,6]=>0110100=>52
[6,1,2,8,4,3,7,5]=>1011100=>92
[6,4,1,2,8,3,7,5]=>1011100=>92
[7,6,1,3,2,4,8,5]=>1100110=>102
[6,7,1,3,2,4,8,5]=>1100100=>100
[1,2,7,3,5,8,4,6]=>0011000=>24
[1,2,7,5,8,3,4,6]=>0010100=>20
[5,8,1,3,7,2,4,6]=>1100000=>96
[1,2,5,8,7,3,4,6]=>0010001=>17
[1,2,5,8,3,7,4,6]=>0011000=>24
[2,8,1,7,3,5,4,6]=>1011000=>88
[8,6,1,3,2,4,7,5]=>1100110=>102
[4,2,8,1,7,3,6,5]=>1110100=>116
[2,8,1,7,4,3,6,5]=>1011100=>92
[7,1,2,8,4,3,6,5]=>1011100=>92
[1,2,8,4,7,5,3,6]=>0011100=>28
[1,2,8,7,4,5,3,6]=>0011001=>25
[2,8,1,7,5,3,4,6]=>1010100=>84
[8,3,7,1,5,2,4,6]=>1110000=>112
[3,8,6,1,4,7,2,5]=>1100010=>98
[8,6,1,4,2,7,3,5]=>1110010=>114
[8,1,6,2,7,4,3,5]=>1111000=>120
[7,1,2,8,6,4,3,5]=>1011010=>90
[7,4,1,2,8,6,3,5]=>1011010=>90
[3,7,4,8,1,6,2,5]=>1101000=>104
[3,4,8,7,1,6,2,5]=>1100001=>97
[4,2,8,1,7,6,3,5]=>1110010=>114
[2,8,1,7,6,4,3,5]=>1011010=>90
[7,8,3,4,1,5,2,6]=>1110000=>112
[7,8,3,4,1,6,2,5]=>1110000=>112
[6,8,3,4,1,7,2,5]=>1110000=>112
[6,7,3,4,1,8,2,5]=>1110000=>112
[5,7,3,4,1,8,2,6]=>1110000=>112
[5,8,3,4,1,7,2,6]=>1110000=>112
[5,8,3,4,1,6,2,7]=>1110000=>112
[6,8,3,4,1,5,2,7]=>1110000=>112
[6,7,3,4,1,5,2,8]=>1110000=>112
[5,7,3,4,1,6,2,8]=>1110000=>112
[5,6,2,8,3,4,1,7]=>1110000=>112
[5,6,2,7,3,4,1,8]=>1110000=>112
[4,6,2,8,3,5,1,7]=>1110000=>112
[4,7,3,5,1,6,2,8]=>1110000=>112
[4,8,3,5,1,6,2,7]=>1110000=>112
[4,8,3,5,1,7,2,6]=>1110000=>112
[4,7,3,5,1,8,2,6]=>1110000=>112
[5,6,2,3,1,7,4,8]=>1101000=>104
[5,6,2,4,1,8,3,7]=>1110000=>112
[5,6,2,4,1,7,3,8]=>1110000=>112
[4,6,2,5,1,7,3,8]=>1110000=>112
[4,6,2,5,1,8,3,7]=>1110000=>112
[4,5,1,8,3,7,2,6]=>1110000=>112
[4,5,1,7,3,8,2,6]=>1110000=>112
[4,6,2,7,3,8,1,5]=>1110000=>112
[5,6,2,7,3,8,1,4]=>1110000=>112
[5,6,2,7,4,8,1,3]=>1101000=>104
[5,6,3,8,4,7,1,2]=>1011000=>88
[5,6,2,8,4,7,1,3]=>1101000=>104
[5,6,2,8,3,7,1,4]=>1110000=>112
[4,6,2,8,3,7,1,5]=>1110000=>112
[4,5,1,7,3,6,2,8]=>1110000=>112
[4,5,1,8,3,6,2,7]=>1110000=>112
[9,2,1,3,4,5,6,7,8]=>11000000=>192
[10,2,1,3,4,5,6,7,8,9]=>110000000=>384
[9,2,3,1,4,5,6,7,8]=>11000000=>192
[4,2,3,5,6,7,8,9,1]=>11000000=>192
[3,4,2,5,6,7,8,9,1]=>11000000=>192
[3,2,4,5,6,7,8,9,10,1]=>110000000=>384
[6,5,3,2,1,4,8,7]=>1110101=>117
[4,6,3,5,2,1,8,7]=>1110001=>113
[8,7,3,5,2,4,1,6]=>1110001=>113
[6,8,2,4,5,7,3,1]=>1110000=>112
[8,7,2,4,5,3,1,6]=>1110001=>113
[3,6,1,4,5,2,8,7]=>1100001=>97
[8,3,7,4,5,2,1,6]=>1111000=>120
[6,3,8,4,5,7,2,1]=>1111000=>120
[5,8,7,4,3,6,2,1]=>1111001=>121
[2,8,7,4,3,6,1,5]=>1011001=>89
[8,1,7,4,3,6,2,5]=>1111000=>120
[8,7,3,5,1,4,2,6]=>1110001=>113
[2,1,6,8,5,7,4,3]=>1011100=>92
[6,8,3,5,1,7,4,2]=>1111000=>120
[5,1,8,4,7,6,3,2]=>1111010=>122
[2,5,8,4,7,6,3,1]=>1011010=>90
[4,3,8,1,5,6,7,2]=>1110000=>112
[4,8,1,3,5,6,7,2]=>1100000=>96
[5,8,7,4,1,6,3,2]=>1111001=>121
[5,8,3,6,1,4,7,2]=>1110000=>112
[4,8,3,6,1,2,7,5]=>1010100=>84
[3,8,7,4,1,6,2,5]=>1101001=>105
[3,8,1,2,5,6,7,4]=>1001000=>72
[8,7,1,4,2,6,3,5]=>1110001=>113
[8,6,3,1,2,4,7,5]=>1010110=>86
[8,1,7,4,5,2,3,6]=>1101000=>104
[2,8,7,4,5,1,3,6]=>1001001=>73
[8,7,2,4,1,6,3,5]=>1110001=>113
[5,8,3,6,2,4,7,1]=>1110000=>112
[8,6,3,2,1,4,7,5]=>1110110=>118
[8,7,3,5,2,1,4,6]=>1110001=>113
[5,8,3,6,2,1,7,4]=>1111000=>120
[5,8,7,4,2,6,1,3]=>1101001=>105
[2,6,8,4,5,7,1,3]=>1001000=>72
[6,1,8,4,5,7,2,3]=>1101000=>104
[6,8,3,5,1,7,2,4]=>1110000=>112
[2,1,5,8,3,6,7,4]=>1011000=>88
[5,8,3,6,1,2,7,4]=>1011000=>88
[4,1,8,2,5,6,7,3]=>1110000=>112
[2,4,8,1,5,6,7,3]=>1010000=>80
[4,8,2,1,5,6,7,3]=>1110000=>112
[3,4,8,2,5,6,7,1]=>1100000=>96
[5,8,1,4,7,6,2,3]=>1100010=>98
[5,8,3,1,6,2,7,4]=>1111000=>120
[4,5,3,8,6,1,7,2]=>1110010=>114
[3,4,1,8,5,6,7,2]=>1100100=>100
[2,4,6,8,10,1,3,5,7,9]=>100000000=>256
[2,4,6,9,10,1,3,5,7,8]=>100000000=>256
[2,4,7,8,10,1,3,5,6,9]=>100000000=>256
[2,4,7,9,10,1,3,5,6,8]=>100000000=>256
[2,4,8,9,10,1,3,5,6,7]=>100000000=>256
[2,5,6,8,10,1,3,4,7,9]=>100000000=>256
[2,5,6,9,10,1,3,4,7,8]=>100000000=>256
[2,5,7,8,10,1,3,4,6,9]=>100000000=>256
[2,5,7,9,10,1,3,4,6,8]=>100000000=>256
[2,5,8,9,10,1,3,4,6,7]=>100000000=>256
[2,6,7,8,10,1,3,4,5,9]=>100000000=>256
[2,6,7,9,10,1,3,4,5,8]=>100000000=>256
[2,6,8,9,10,1,3,4,5,7]=>100000000=>256
[2,7,8,9,10,1,3,4,5,6]=>100000000=>256
[3,4,6,8,10,1,2,5,7,9]=>100000000=>256
[3,4,6,9,10,1,2,5,7,8]=>100000000=>256
[3,4,7,8,10,1,2,5,6,9]=>100000000=>256
[3,4,7,9,10,1,2,5,6,8]=>100000000=>256
[3,4,8,9,10,1,2,5,6,7]=>100000000=>256
[3,5,6,8,10,1,2,4,7,9]=>100000000=>256
[3,5,6,9,10,1,2,4,7,8]=>100000000=>256
[3,5,7,8,10,1,2,4,6,9]=>100000000=>256
[3,5,7,9,10,1,2,4,6,8]=>100000000=>256
[3,5,8,9,10,1,2,4,6,7]=>100000000=>256
[3,6,7,8,10,1,2,4,5,9]=>100000000=>256
[3,6,7,9,10,1,2,4,5,8]=>100000000=>256
[3,6,8,9,10,1,2,4,5,7]=>100000000=>256
[3,7,8,9,10,1,2,4,5,6]=>100000000=>256
[4,5,6,8,10,1,2,3,7,9]=>100000000=>256
[4,5,6,9,10,1,2,3,7,8]=>100000000=>256
[4,5,7,8,10,1,2,3,6,9]=>100000000=>256
[4,5,7,9,10,1,2,3,6,8]=>100000000=>256
[4,5,8,9,10,1,2,3,6,7]=>100000000=>256
[4,6,7,8,10,1,2,3,5,9]=>100000000=>256
[4,6,7,9,10,1,2,3,5,8]=>100000000=>256
[4,6,8,9,10,1,2,3,5,7]=>100000000=>256
[4,7,8,9,10,1,2,3,5,6]=>100000000=>256
[5,6,7,8,10,1,2,3,4,9]=>100000000=>256
[5,6,7,9,10,1,2,3,4,8]=>100000000=>256
[5,6,8,9,10,1,2,3,4,7]=>100000000=>256
[5,7,8,9,10,1,2,3,4,6]=>100000000=>256
[4,5,7,6,2,3,8,1]=>1100010=>98
[3,5,7,2,6,4,8,1]=>1101000=>104
[2,5,7,3,6,4,8,1]=>1011000=>88
[1,5,7,3,6,8,4,2]=>0111000=>56
[8,4,3,7,6,1,5,2]=>1111010=>122
[6,7,2,3,5,4,8,1]=>1101000=>104
[5,2,7,3,6,4,8,1]=>1111000=>120
[8,3,4,7,6,1,5,2]=>1110010=>114
[8,2,4,7,1,6,5,3]=>1110100=>116
[3,1,4,7,6,8,5,2]=>1100110=>102
[4,1,3,7,6,8,5,2]=>1100110=>102
[5,1,7,3,6,8,4,2]=>1111000=>120
[6,7,1,3,5,8,4,2]=>1101000=>104
[5,8,7,3,6,1,4,2]=>1110001=>113
[4,8,3,7,6,1,5,2]=>1110010=>114
[3,8,4,7,6,1,5,2]=>1101010=>106
[2,8,4,7,1,6,5,3]=>1011100=>92
[8,1,4,7,2,6,5,3]=>1110100=>116
[8,1,3,2,7,6,5,4]=>1101110=>110
[2,8,3,1,7,6,5,4]=>1011110=>94
[3,8,2,1,7,6,5,4]=>1101110=>110
[6,7,1,2,8,5,4,3]=>1011100=>92
[8,2,3,1,7,6,5,4]=>1101110=>110
[8,3,2,1,7,6,5,4]=>1111110=>126
[3,4,1,7,6,8,5,2]=>1100110=>102
[1,4,2,7,8,6,5,3]=>0110110=>54
[8,4,2,7,1,6,5,3]=>1111100=>124
[8,5,7,2,1,6,4,3]=>1111100=>124
[1,5,7,2,8,6,4,3]=>0111010=>58
[2,5,7,1,8,6,4,3]=>1011010=>90
[3,5,7,1,6,8,4,2]=>1101000=>104
[6,7,4,5,8,1,3,2]=>1101000=>104
[5,4,7,6,8,1,3,2]=>1101010=>106
[2,5,7,8,1,6,4,3]=>1011000=>88
[1,5,7,8,2,6,4,3]=>0111000=>56
[8,5,7,1,2,6,4,3]=>1011100=>92
[8,4,1,7,2,6,5,3]=>1111100=>124
[1,4,8,7,2,6,5,3]=>0110101=>53
[3,4,8,7,6,1,5,2]=>1100011=>99
[4,3,8,7,6,1,5,2]=>1110011=>115
[5,3,7,8,6,1,4,2]=>1110010=>114
[6,7,2,8,1,5,4,3]=>1111000=>120
[5,2,7,8,1,6,4,3]=>1111000=>120
[4,2,8,7,1,6,5,3]=>1110101=>117
[3,2,8,1,7,6,5,4]=>1101110=>110
[1,3,8,2,7,6,5,4]=>0101110=>46
[8,3,1,2,7,6,5,4]=>1011110=>94
[8,2,1,3,7,6,5,4]=>1101110=>110
[1,2,8,3,7,6,5,4]=>0011110=>30
[2,1,8,3,7,6,5,4]=>1011110=>94
[4,1,8,7,2,6,5,3]=>1110101=>117
[5,1,7,8,2,6,4,3]=>1111000=>120
[6,7,1,8,2,5,4,3]=>1111000=>120
[5,8,7,1,2,6,4,3]=>1011001=>89
[4,8,1,7,2,6,5,3]=>1110100=>116
[3,8,1,2,7,6,5,4]=>1001110=>78
[2,8,1,3,7,6,5,4]=>1001110=>78
[1,8,2,3,7,6,5,4]=>0101110=>46
[8,1,2,3,7,6,5,4]=>1001110=>78
[3,1,4,5,6,7,8,9,10,2]=>110000000=>384
[10,3,4,5,6,7,8,1,2,9]=>101000000=>320
[10,1,4,5,6,7,8,9,2,3]=>110000000=>384
[2,10,4,5,6,7,8,1,3,9]=>100100000=>288
[8,3,4,5,6,7,1,10,2,9]=>111000000=>448
[3,1,10,5,6,7,8,9,2,4]=>110010000=>400
[9,1,4,5,6,7,8,2,10,3]=>111000000=>448
[6,7,1,8,4,5,2,3]=>1101000=>104
[3,7,1,5,8,2,6,4]=>1101000=>104
[2,7,1,5,8,3,6,4]=>1011000=>88
[2,6,5,1,8,3,7,4]=>1011100=>92
[3,6,5,1,8,2,7,4]=>1101100=>108
[4,6,5,1,8,7,2,3]=>1100101=>101
[5,6,4,1,8,7,2,3]=>1101001=>105
[8,1,4,5,7,6,2,3]=>1100010=>98
[6,4,5,1,8,7,2,3]=>1101001=>105
[5,4,6,1,8,7,2,3]=>1101001=>105
[4,5,6,1,8,7,2,3]=>1100001=>97
[3,5,6,1,8,2,7,4]=>1101000=>104
[2,5,6,1,8,3,7,4]=>1011000=>88
[2,4,6,1,3,8,7,5]=>1000101=>69
[3,4,6,1,2,8,7,5]=>1000101=>69
[4,3,6,1,2,8,7,5]=>1010101=>85
[5,3,6,1,8,2,7,4]=>1111000=>120
[7,3,1,5,8,2,6,4]=>1111000=>120
[8,1,3,5,7,2,6,4]=>1101000=>104
[8,1,2,5,7,3,6,4]=>1011000=>88
[7,2,1,5,8,3,6,4]=>1111000=>120
[6,2,5,1,8,3,7,4]=>1111000=>120
[4,2,6,1,3,8,7,5]=>1100101=>101
[2,3,6,1,4,8,7,5]=>1000101=>69
[4,2,5,3,1,8,7,6]=>1110011=>115
[6,2,4,1,3,8,7,5]=>1100101=>101
[7,2,1,4,3,8,6,5]=>1110110=>118
[8,1,2,4,3,7,6,5]=>1010110=>86
[8,1,3,4,2,7,6,5]=>1100110=>102
[7,3,1,4,2,8,6,5]=>1110110=>118
[6,3,4,1,2,8,7,5]=>1010101=>85
[4,6,3,1,2,8,7,5]=>1010101=>85
[3,6,4,1,2,8,7,5]=>1001101=>77
[2,6,4,1,3,8,7,5]=>1001101=>77
[2,7,1,4,3,8,6,5]=>1010110=>86
[3,7,1,4,2,8,6,5]=>1100110=>102
[4,7,1,3,2,8,6,5]=>1100110=>102
[8,1,6,7,2,3,5,4]=>1101000=>104
[4,7,1,2,3,8,6,5]=>1000110=>70
[3,7,1,2,4,8,6,5]=>1000110=>70
[2,7,1,3,4,8,6,5]=>1000110=>70
[2,6,3,1,4,8,7,5]=>1010101=>85
[3,6,2,1,4,8,7,5]=>1100101=>101
[5,6,2,1,8,3,7,4]=>1111000=>120
[6,5,2,1,8,3,7,4]=>1111100=>124
[8,1,5,2,7,3,6,4]=>1111000=>120
[8,1,4,2,3,7,6,5]=>1100110=>102
[7,4,1,2,3,8,6,5]=>1001110=>78
[6,4,2,1,3,8,7,5]=>1101101=>109
[5,4,2,3,1,8,7,6]=>1101011=>107
[3,5,2,4,1,8,7,6]=>1100011=>99
[6,3,2,1,4,8,7,5]=>1110101=>117
[7,3,1,2,4,8,6,5]=>1010110=>86
[8,1,3,2,4,7,6,5]=>1100110=>102
[8,1,2,3,4,7,6,5]=>1000110=>70
[7,2,1,3,4,8,6,5]=>1100110=>102
[6,2,3,1,4,8,7,5]=>1100101=>101
[2,4,3,6,1,5,8,7]=>1010001=>81
[2,4,3,6,5,8,1,7]=>1010100=>84
[2,4,6,3,5,8,7,1]=>1010001=>81
[2,4,6,3,5,8,1,7]=>1010000=>80
[2,4,6,3,5,1,8,7]=>1010001=>81
[2,4,6,3,1,5,8,7]=>1010001=>81
[2,4,1,6,5,3,8,7]=>1010101=>85
[2,4,6,1,5,3,8,7]=>1010001=>81
[4,2,6,5,3,1,8,7]=>1110101=>117
[4,2,6,5,1,3,8,7]=>1100101=>101
[4,2,6,5,1,8,7,3]=>1110101=>117
[4,2,6,5,8,1,7,3]=>1110100=>116
[4,2,6,5,8,1,3,7]=>1100100=>100
[4,2,6,5,8,3,1,7]=>1110100=>116
[2,4,6,1,5,8,3,7]=>1010000=>80
[2,4,1,6,5,8,3,7]=>1010100=>84
[2,1,4,6,5,8,3,7]=>1010100=>84
[2,4,1,6,5,8,7,3]=>1010101=>85
[2,4,6,1,5,8,7,3]=>1010001=>81
[4,2,6,5,3,8,7,1]=>1110101=>117
[4,2,6,5,8,3,7,1]=>1110100=>116
[2,6,4,3,8,7,1,5]=>1011001=>89
[2,6,4,3,8,7,5,1]=>1011101=>93
[4,2,6,8,5,3,7,1]=>1110100=>116
[2,4,6,8,1,5,7,3]=>1010000=>80
[2,4,6,1,8,5,7,3]=>1010100=>84
[2,4,1,6,8,5,7,3]=>1010100=>84
[2,1,4,6,8,5,7,3]=>1010100=>84
[2,1,4,6,8,5,3,7]=>1010100=>84
[2,4,1,6,8,5,3,7]=>1010100=>84
[2,4,6,1,8,5,3,7]=>1010100=>84
[2,4,6,8,1,5,3,7]=>1010000=>80
[4,2,6,8,5,3,1,7]=>1110100=>116
[4,2,6,8,5,1,3,7]=>1100100=>100
[4,2,6,8,5,1,7,3]=>1110100=>116
[2,4,6,8,3,5,7,1]=>1010000=>80
[2,4,6,8,3,5,1,7]=>1010000=>80
[2,4,6,8,3,1,5,7]=>1010000=>80
[2,4,6,3,1,8,5,7]=>1010100=>84
[2,4,6,3,8,1,5,7]=>1010000=>80
[2,4,6,3,8,5,1,7]=>1010100=>84
[2,4,6,3,8,5,7,1]=>1010100=>84
[2,4,3,6,8,5,7,1]=>1010100=>84
[2,4,3,6,8,5,1,7]=>1010100=>84
[2,4,3,6,8,1,5,7]=>1010000=>80
[2,4,3,6,1,8,5,7]=>1010100=>84
[2,4,3,1,6,8,5,7]=>1010100=>84
[2,4,1,3,6,8,7,5]=>1000101=>69
[2,4,3,6,1,8,7,5]=>1010101=>85
[2,4,3,6,8,1,7,5]=>1010100=>84
[4,6,5,2,8,7,3,1]=>1110101=>117
[4,6,5,2,8,7,1,3]=>1100101=>101
[4,6,2,5,8,7,1,3]=>1100001=>97
[4,6,2,5,8,7,3,1]=>1110001=>113
[2,4,6,3,8,1,7,5]=>1010100=>84
[2,4,6,3,1,8,7,5]=>1010101=>85
[2,4,1,6,3,8,7,5]=>1010101=>85
[2,1,4,6,3,8,7,5]=>1010101=>85
[2,1,4,6,8,3,7,5]=>1010100=>84
[2,4,1,6,8,3,7,5]=>1010100=>84
[2,4,6,1,8,3,7,5]=>1010100=>84
[2,4,6,8,1,3,7,5]=>1000100=>68
[2,4,6,8,3,1,7,5]=>1010100=>84
[4,6,2,8,5,7,3,1]=>1110100=>116
[4,6,2,8,5,7,1,3]=>1100100=>100
[6,2,4,8,7,1,3,5]=>1100001=>97
[6,4,2,8,7,5,3,1]=>1111101=>125
[2,6,4,8,1,7,5,3]=>1011100=>92
[2,6,4,1,8,7,5,3]=>1011101=>93
[2,6,1,4,8,7,5,3]=>1010101=>85
[2,1,6,4,8,7,5,3]=>1011101=>93
[2,1,6,4,8,7,3,5]=>1011001=>89
[2,6,1,4,8,7,3,5]=>1010001=>81
[2,6,4,1,8,7,3,5]=>1011001=>89
[2,6,4,8,1,7,3,5]=>1011000=>88
[6,4,2,8,7,5,1,3]=>1101101=>109
[6,2,4,8,7,3,5,1]=>1110001=>113
[6,2,4,8,7,3,1,5]=>1110001=>113
[1,6,4,7,3,8,2,5]=>0111000=>56
[1,3,7,4,5,8,2,6]=>0101000=>40
[5,2,4,7,3,6,8,1]=>1110000=>112
[1,7,6,3,4,8,2,5]=>0110010=>50
[8,1,6,3,7,2,4,5]=>1110000=>112
[7,1,6,3,8,2,4,5]=>1110000=>112
[1,2,7,4,8,3,5,6]=>0011000=>24
[6,1,7,3,4,8,2,5]=>1110000=>112
[2,1,7,4,5,8,3,6]=>1011000=>88
[5,1,4,7,3,8,2,6]=>1110000=>112
[4,3,1,7,5,8,2,6]=>1110100=>116
[2,8,6,3,7,1,4,5]=>1010010=>82
[6,8,1,3,7,2,4,5]=>1100000=>96
[5,8,2,1,7,3,4,6]=>1110000=>112
[5,7,2,1,8,3,4,6]=>1110000=>112
[6,7,1,3,8,2,4,5]=>1100000=>96
[5,1,2,4,8,3,6,7]=>1010000=>80
[4,3,6,1,5,8,2,7]=>1110000=>112
[2,6,1,4,5,8,3,7]=>1010000=>80
[6,5,1,3,4,8,2,7]=>1100100=>100
[1,6,2,4,8,3,5,7]=>0110000=>48
[8,5,1,3,7,2,4,6]=>1100100=>100
[1,5,3,2,8,4,6,7]=>0111000=>56
[6,4,2,1,5,8,3,7]=>1111000=>120
[2,5,3,4,1,8,6,7]=>1010010=>82
[4,3,5,2,1,8,6,7]=>1110010=>114
[2,6,4,8,7,1,3,5]=>1001001=>73
[1,6,4,8,7,2,3,5]=>0101001=>41
[2,7,8,3,6,1,4,5]=>1010000=>80
[4,3,2,8,7,1,5,6]=>1110001=>113
[5,2,4,8,7,1,3,6]=>1100001=>97
[6,2,8,3,7,1,4,5]=>1110000=>112
[5,1,4,8,7,2,3,6]=>1100001=>97
[4,8,2,5,1,3,7,6]=>1100010=>98
[4,7,2,5,1,3,8,6]=>1100010=>98
[3,7,2,1,5,4,8,6]=>1101010=>106
[3,8,2,1,5,4,7,6]=>1101010=>106
[8,3,2,1,5,4,6,7]=>1111000=>120
[8,3,2,1,6,4,5,7]=>1111000=>120
[8,4,2,5,1,6,3,7]=>1111000=>120
[8,3,2,1,5,6,4,7]=>1111000=>120
[8,3,2,1,4,6,5,7]=>1110100=>116
[3,8,2,1,4,5,7,6]=>1100010=>98
[3,7,2,1,4,5,8,6]=>1100010=>98
[3,2,7,1,4,6,8,5]=>1100100=>100
[3,2,8,1,4,6,7,5]=>1100100=>100
[3,2,8,1,4,7,6,5]=>1100110=>102
[3,8,2,1,4,7,5,6]=>1100100=>100
[3,8,2,1,5,7,4,6]=>1101000=>104
[4,8,2,5,1,7,3,6]=>1110000=>112
[4,7,2,5,1,8,3,6]=>1110000=>112
[3,7,2,1,5,8,4,6]=>1101000=>104
[3,7,2,1,4,8,5,6]=>1100100=>100
[3,2,1,7,5,8,6,4]=>1101110=>110
[3,2,7,1,6,8,4,5]=>1101000=>104
[4,2,7,6,1,8,3,5]=>1110010=>114
[4,3,7,6,8,1,2,5]=>1010010=>82
[4,3,8,6,7,1,2,5]=>1010010=>82
[4,2,8,6,1,7,3,5]=>1110010=>114
[3,2,8,1,6,7,4,5]=>1101000=>104
[3,2,1,8,7,5,6,4]=>1101101=>109
[3,8,2,1,7,4,5,6]=>1101000=>104
[3,2,8,1,7,4,6,5]=>1101100=>108
[3,2,8,1,6,4,7,5]=>1101100=>108
[3,2,7,1,6,4,8,5]=>1101100=>108
[4,2,7,6,1,3,8,5]=>1100110=>102
[4,2,8,6,1,3,7,5]=>1100110=>102
[4,2,8,7,1,3,6,5]=>1100101=>101
[5,7,8,3,4,1,2,6]=>1010000=>80
[4,2,7,8,1,3,6,5]=>1100100=>100
[4,2,6,8,1,3,7,5]=>1100100=>100
[4,2,6,7,1,3,8,5]=>1100100=>100
[3,2,6,1,8,4,7,5]=>1101100=>108
[3,7,2,1,8,4,5,6]=>1101000=>104
[3,7,2,1,8,5,4,6]=>1101100=>108
[4,7,3,8,5,1,2,6]=>1010100=>84
[4,3,7,8,6,1,2,5]=>1010010=>82
[3,2,7,1,8,6,4,5]=>1101010=>106
[3,2,1,6,8,5,7,4]=>1101100=>108
[3,2,6,1,8,7,4,5]=>1101001=>105
[4,2,6,8,1,7,3,5]=>1110000=>112
[4,3,6,8,7,1,2,5]=>1010001=>81
[4,2,6,7,1,8,3,5]=>1110000=>112
[3,2,6,1,7,8,4,5]=>1101000=>104
[3,4,6,8,7,5,1,2]=>1000101=>69
[5,3,6,4,8,7,1,2]=>1011001=>89
[1,4,6,2,7,8,5,3]=>0110100=>52
[3,1,8,5,4,2,6,7]=>1101100=>108
[1,2,7,5,4,8,6,3]=>0011110=>30
[6,3,7,5,4,8,1,2]=>1011100=>92
[7,3,8,5,4,6,1,2]=>1011100=>92
[3,8,7,5,4,6,1,2]=>1001101=>77
[4,3,6,7,8,5,1,2]=>1010100=>84
[4,5,6,3,8,7,1,2]=>1010001=>81
[3,6,8,5,4,7,1,2]=>1001100=>76
[6,8,3,5,4,7,1,2]=>1011000=>88
[7,6,3,5,4,8,1,2]=>1011010=>90
[1,6,2,5,4,8,7,3]=>0111001=>57
[7,1,2,5,8,3,6,4]=>1011000=>88
[1,8,2,5,7,3,6,4]=>0111000=>56
[6,2,1,5,4,8,7,3]=>1111001=>121
[4,1,6,2,8,7,5,3]=>1110101=>117
[7,8,1,2,4,6,5,3]=>1010100=>84
[7,8,3,1,4,2,6,5]=>1110100=>116
[4,3,6,1,8,2,7,5]=>1110100=>116
[2,3,8,5,4,1,6,7]=>1001100=>76
[4,8,1,5,2,3,7,6]=>1100010=>98
[7,5,1,6,4,3,2,8]=>1111100=>124
[5,8,1,6,4,3,2,7]=>1111000=>120
[6,1,5,7,4,3,2,8]=>1111000=>120
[1,5,8,6,4,3,2,7]=>0111010=>58
[3,4,6,1,5,8,2,7]=>1100000=>96
[7,8,4,1,5,3,2,6]=>1111000=>120
[7,8,5,1,6,3,2,4]=>1110100=>116
[2,6,1,5,7,3,8,4]=>1011000=>88
[1,6,8,7,4,3,2,5]=>0111001=>57
[6,8,1,7,4,3,2,5]=>1111000=>120
[5,6,1,7,4,3,2,8]=>1111000=>120
[5,1,7,6,4,3,2,8]=>1111010=>122
[6,1,7,8,4,3,2,5]=>1111000=>120
[7,1,8,6,4,3,2,5]=>1111010=>122
[1,8,7,6,4,3,2,5]=>0111011=>59
[2,1,7,5,6,3,8,4]=>1011100=>92
[3,1,6,7,5,8,2,4]=>1100100=>100
[7,8,1,6,5,3,2,4]=>1110100=>116
[7,8,2,1,4,5,6,3]=>1110000=>112
[2,8,1,5,4,6,7,3]=>1011000=>88
[7,2,1,5,4,6,8,3]=>1111000=>120
[1,2,8,5,6,3,7,4]=>0011100=>28
[6,1,2,5,7,3,8,4]=>1011000=>88
[4,2,1,5,6,3,7,8]=>1110000=>112
[4,3,6,1,5,7,2,8]=>1110000=>112
[5,1,6,3,7,8,2,4]=>1110000=>112
[1,3,6,8,5,7,2,4]=>0100100=>36
[2,4,6,3,7,1,8,5]=>1010100=>84
[1,3,6,4,8,7,2,5]=>0101001=>41
[4,1,6,7,3,8,2,5]=>1110000=>112
[5,4,6,1,3,7,2,8]=>1101000=>104
[6,4,1,5,2,3,7,8]=>1101000=>104
[4,1,7,5,2,3,8,6]=>1100110=>102
[1,2,4,5,8,3,7,6]=>0010010=>18
[7,2,3,5,4,1,8,6]=>1101010=>106
[2,8,3,5,4,1,7,6]=>1011010=>90
[4,2,6,3,8,1,7,5]=>1110100=>116
[7,8,2,3,4,1,6,5]=>1100100=>100
[7,8,1,4,6,3,2,5]=>1110000=>112
[3,1,6,4,7,8,2,5]=>1101000=>104
[1,8,5,7,4,3,2,6]=>0111100=>60
[7,1,5,8,4,3,2,6]=>1111000=>120
[5,1,8,7,4,3,2,6]=>1111001=>121
[6,5,1,8,4,3,2,7]=>1111100=>124
[6,5,7,1,4,3,2,8]=>1110100=>116
[7,5,8,1,4,3,2,6]=>1110100=>116
[5,8,7,1,4,3,2,6]=>1110001=>113
[1,5,7,8,4,3,2,6]=>0111000=>56
[2,4,7,5,1,3,8,6]=>1000110=>70
[7,8,4,6,1,3,2,5]=>1101000=>104
[7,8,5,4,1,3,2,6]=>1101100=>108
[3,5,6,4,1,8,2,7]=>1101000=>104
[2,6,4,5,1,3,8,7]=>1001001=>73
[1,6,5,8,4,3,2,7]=>0111100=>60
[6,8,5,1,4,3,2,7]=>1110100=>116
[7,6,5,1,4,3,2,8]=>1110110=>118
[1,2,3,4,5,6,9,7,8]=>00000010=>2
[1,2,3,4,5,8,6,9,7]=>00000110=>6
[1,2,3,4,7,5,8,9,6]=>00001100=>12
[1,2,3,6,4,7,8,9,5]=>00011000=>24
[1,2,5,3,6,7,8,9,4]=>00110000=>48
[1,4,2,5,6,7,8,9,3]=>01100000=>96
[9,8,1,2,3,4,5,6,7]=>10000001=>129
[7,8,9,1,2,3,4,5,6]=>10000000=>128
[9,8,7,1,2,3,4,5,6]=>10000011=>131
[6,7,8,9,1,2,3,4,5]=>10000000=>128
[9,6,7,8,1,2,3,4,5]=>10000100=>132
[8,9,6,7,1,2,3,4,5]=>10000100=>132
[9,8,6,7,1,2,3,4,5]=>10000101=>133
[9,8,7,6,1,2,3,4,5]=>10000111=>135
[9,5,6,7,8,1,2,3,4]=>10001000=>136
[8,9,5,6,7,1,2,3,4]=>10001000=>136
[9,8,5,6,7,1,2,3,4]=>10001001=>137
[9,7,8,5,6,1,2,3,4]=>10001010=>138
[9,8,7,5,6,1,2,3,4]=>10001011=>139
[9,8,7,6,5,1,2,3,4]=>10001111=>143
[7,8,9,4,5,6,1,2,3]=>10010000=>144
[9,7,8,4,5,6,1,2,3]=>10010010=>146
[9,8,7,4,5,6,1,2,3]=>10010011=>147
[8,9,6,7,4,5,1,2,3]=>10010100=>148
[9,8,6,7,4,5,1,2,3]=>10010101=>149
[9,8,7,6,4,5,1,2,3]=>10010111=>151
[9,8,7,6,5,4,1,2,3]=>10011111=>159
[9,7,8,5,6,3,4,1,2]=>10101010=>170
[9,8,7,5,6,3,4,1,2]=>10101011=>171
[9,8,7,6,5,3,4,1,2]=>10101111=>175
[9,8,7,6,5,4,3,1,2]=>10111111=>191
[9,10,1,2,3,4,5,6,7,8]=>100000000=>256
[8,9,10,1,2,3,4,5,6,7]=>100000000=>256
[10,8,9,1,2,3,4,5,6,7]=>100000010=>258
[10,9,8,1,2,3,4,5,6,7]=>100000011=>259
[7,8,9,10,1,2,3,4,5,6]=>100000000=>256
[10,7,8,9,1,2,3,4,5,6]=>100000100=>260
[9,10,7,8,1,2,3,4,5,6]=>100000100=>260
[10,9,7,8,1,2,3,4,5,6]=>100000101=>261
[10,9,8,7,1,2,3,4,5,6]=>100000111=>263
[10,6,7,8,9,1,2,3,4,5]=>100001000=>264
[9,10,6,7,8,1,2,3,4,5]=>100001000=>264
[10,9,6,7,8,1,2,3,4,5]=>100001001=>265
[10,8,9,6,7,1,2,3,4,5]=>100001010=>266
[10,9,8,6,7,1,2,3,4,5]=>100001011=>267
[10,9,8,7,6,1,2,3,4,5]=>100001111=>271
[9,10,5,6,7,8,1,2,3,4]=>100010000=>272
[10,9,5,6,7,8,1,2,3,4]=>100010001=>273
[8,9,10,5,6,7,1,2,3,4]=>100010000=>272
[10,9,8,5,6,7,1,2,3,4]=>100010011=>275
[9,10,7,8,5,6,1,2,3,4]=>100010100=>276
[10,9,7,8,5,6,1,2,3,4]=>100010101=>277
[10,9,8,7,5,6,1,2,3,4]=>100010111=>279
[10,9,8,7,6,5,1,2,3,4]=>100011111=>287
[10,7,8,9,4,5,6,1,2,3]=>100100100=>292
[9,10,7,8,4,5,6,1,2,3]=>100100100=>292
[10,9,7,8,4,5,6,1,2,3]=>100100101=>293
[10,9,8,7,4,5,6,1,2,3]=>100100111=>295
[10,8,9,6,7,4,5,1,2,3]=>100101010=>298
[10,9,8,6,7,4,5,1,2,3]=>100101011=>299
[10,9,8,7,6,4,5,1,2,3]=>100101111=>303
[10,9,8,7,6,5,4,1,2,3]=>100111111=>319
[9,10,7,8,5,6,3,4,1,2]=>101010100=>340
[10,9,7,8,5,6,3,4,1,2]=>101010101=>341
[10,9,8,7,5,6,3,4,1,2]=>101010111=>343
[10,9,8,7,6,5,3,4,1,2]=>101011111=>351
[10,9,8,7,6,5,4,3,1,2]=>101111111=>383
[3,4,6,2,7,1,5,8]=>1100000=>96
[3,6,2,5,4,1,7,8]=>1101000=>104
[3,2,7,5,4,1,6,8]=>1101100=>108
[4,3,6,2,8,1,5,7]=>1110000=>112
[6,1,2,5,4,7,8,3]=>1011000=>88
[6,2,4,5,1,3,7,8]=>1100000=>96
[4,2,8,5,1,3,7,6]=>1100110=>102
[4,3,6,8,1,7,2,5]=>1110000=>112
[5,3,6,4,1,7,2,8]=>1111000=>120
[6,2,1,5,8,3,7,4]=>1111000=>120
[1,6,7,4,8,3,5,2]=>0111000=>56
[1,4,6,3,7,5,8,2]=>0110100=>52
[4,6,7,2,5,8,1,3]=>1100000=>96
[2,4,6,1,7,5,3,8]=>1010100=>84
[2,7,5,4,1,6,3,8]=>1011100=>92
[7,5,4,6,2,8,1,3]=>1101100=>108
[1,7,5,4,3,8,6,2]=>0111110=>62
[1,4,6,3,5,8,7,2]=>0110001=>49
[1,5,8,4,3,6,7,2]=>0111000=>56
[5,4,6,2,7,8,1,3]=>1101000=>104
[2,5,4,1,6,7,3,8]=>1011000=>88
[5,6,3,2,7,1,4,8]=>1110000=>112
[5,6,3,2,7,1,8,4]=>1111000=>120
[8,5,6,3,2,7,1,4]=>1110100=>116
[5,4,6,2,8,1,7,3]=>1111000=>120
[2,4,1,7,8,5,3,6]=>1010100=>84
[2,5,4,1,6,3,8,7]=>1011001=>89
[5,6,3,2,1,8,4,7]=>1111000=>120
[3,5,2,1,6,4,7,8]=>1101000=>104
[6,8,4,3,2,1,5,7]=>1111000=>120
[5,3,8,2,1,6,4,7]=>1111000=>120
[3,7,5,8,2,1,4,6]=>1100100=>100
[7,3,2,8,5,1,6,4]=>1111100=>124
[8,4,6,3,2,1,7,5]=>1111100=>124
[8,6,4,3,2,1,7,5]=>1111110=>126
[7,6,4,3,2,1,8,5]=>1111110=>126
[7,8,4,3,2,1,6,5]=>1111100=>124
[5,4,7,2,1,8,6,3]=>1111010=>122
[7,5,8,3,2,6,1,4]=>1110100=>116
[5,7,3,2,1,6,8,4]=>1111000=>120
[5,7,3,2,1,6,4,8]=>1111000=>120
[6,3,7,2,5,1,8,4]=>1111000=>120
[6,7,8,3,5,2,1,4]=>1110000=>112
[6,2,5,7,8,4,1,3]=>1101000=>104
[2,1,5,7,8,6,3,4]=>1010010=>82
[3,6,7,2,8,1,4,5]=>1100000=>96
[6,3,7,2,8,1,4,5]=>1110000=>112
[3,2,6,1,7,4,5,8]=>1101000=>104
[3,5,2,1,4,7,6,8]=>1100010=>98
[7,3,5,2,1,8,4,6]=>1111000=>120
[2,5,4,1,3,7,8,6]=>1001010=>74
[2,5,8,4,1,3,7,6]=>1001010=>74
[2,4,1,7,8,3,6,5]=>1010100=>84
[3,7,2,8,6,1,4,5]=>1100010=>98
[3,6,8,2,1,7,4,5]=>1101000=>104
[5,3,8,2,1,4,7,6]=>1110010=>114
[4,8,7,3,2,1,5,6]=>1110001=>113
[4,7,3,2,1,5,6,8]=>1110000=>112
[8,4,7,3,2,1,5,6]=>1111000=>120
[8,3,5,2,1,4,7,6]=>1110010=>114
[7,3,2,8,6,1,4,5]=>1110010=>114
[3,5,2,1,4,6,8,7]=>1100001=>97
[7,8,6,5,4,3,2,1,9]=>11111100=>252
[1,8,9,7,6,5,4,3,2]=>01111110=>126
[8,9,7,6,5,4,3,2,1,10]=>111111100=>508
[7,6,8,5,4,3,2,1,9]=>11111100=>252
[6,8,7,5,4,3,2,1,9]=>11111010=>250
[1,8,7,9,6,5,4,3,2]=>01111110=>126
[1,7,9,8,6,5,4,3,2]=>01111101=>125
[1,9,10,8,7,6,5,4,3,2]=>011111110=>254
[7,8,3,5,4,6,1,2]=>1011000=>88
[8,6,3,7,5,2,4,1]=>1110110=>118
[5,4,1,6,3,2,8,7]=>1111001=>121
[5,4,1,6,2,3,8,7]=>1101001=>105
[5,7,1,6,2,8,3,4]=>1110000=>112
[5,7,1,6,2,8,4,3]=>1111000=>120
[2,7,6,5,1,8,3,4]=>1010110=>86
[2,7,6,5,1,8,4,3]=>1011110=>94
[2,3,6,5,1,4,8,7]=>1000101=>69
[2,3,6,4,1,5,8,7]=>1001001=>73
[2,3,6,1,5,4,8,7]=>1001001=>73
[2,7,6,1,4,8,5,3]=>1010110=>86
[2,7,6,1,4,8,3,5]=>1010010=>82
[7,3,5,1,8,4,2,6]=>1111000=>120
[7,3,5,1,8,6,4,2]=>1111010=>122
[2,7,6,1,5,8,4,3]=>1011010=>90
[2,7,6,4,1,8,5,3]=>1011110=>94
[2,1,7,6,3,8,5,4]=>1011110=>94
[2,1,7,6,3,8,4,5]=>1011010=>90
[5,7,3,6,2,8,4,1]=>1111000=>120
[2,7,6,4,1,8,3,5]=>1011010=>90
[7,3,5,1,8,6,2,4]=>1110010=>114
[6,3,5,1,8,2,4,7]=>1110000=>112
[2,3,4,8,7,6,1,5]=>1000011=>67
[2,3,4,8,5,7,1,6]=>1000100=>68
[7,3,5,4,8,1,2,6]=>1011000=>88
[6,4,3,5,8,7,2,1]=>1111001=>121
[2,1,4,5,8,7,3,6]=>1010001=>81
[6,4,3,5,8,7,1,2]=>1011001=>89
[7,3,5,4,8,1,6,2]=>1111000=>120
[2,3,4,8,7,5,6,1]=>1000101=>69
[2,3,4,8,7,5,1,6]=>1000101=>69
[2,7,6,5,4,8,1,3]=>1001110=>78
[7,3,5,6,8,4,1,2]=>1011000=>88
[7,3,5,6,8,1,4,2]=>1110000=>112
[7,3,5,6,8,1,2,4]=>1010000=>80
[6,4,1,5,8,7,2,3]=>1101001=>105
[6,4,1,5,8,7,3,2]=>1111001=>121
[6,4,1,5,8,3,7,2]=>1111000=>120
[5,7,1,6,3,8,2,4]=>1110000=>112
[6,4,1,5,8,3,2,7]=>1111000=>120
[7,4,1,5,8,2,3,6]=>1101000=>104
[7,4,1,5,8,2,6,3]=>1111000=>120
[6,3,5,7,8,2,1,4]=>1110000=>112
[6,3,5,7,8,2,4,1]=>1110000=>112
[2,7,6,4,5,8,3,1]=>1011010=>90
[5,7,3,6,1,8,4,2]=>1111000=>120
[2,1,4,5,8,6,3,7]=>1010010=>82
[7,3,5,4,8,6,2,1]=>1111010=>122
[2,3,4,8,5,6,1,7]=>1000100=>68
[2,3,4,8,7,1,6,5]=>1000101=>69
[2,3,4,8,1,7,6,5]=>1000110=>70
[2,3,4,8,1,6,7,5]=>1000100=>68
[2,3,4,8,5,1,7,6]=>1000110=>70
[6,3,5,4,8,2,7,1]=>1111000=>120
[7,4,3,5,8,2,1,6]=>1111000=>120
[2,1,4,5,8,3,7,6]=>1010010=>82
[7,4,3,5,8,2,6,1]=>1111000=>120
[6,3,5,4,8,2,1,7]=>1111000=>120
[2,3,4,8,5,1,6,7]=>1000100=>68
[2,3,4,8,1,6,5,7]=>1000100=>68
[2,3,4,8,1,5,7,6]=>1000010=>66
[7,8,2,6,1,5,3,4]=>1110000=>112
[7,8,1,6,2,5,3,4]=>1110000=>112
[1,8,6,7,2,5,3,4]=>0110010=>50
[1,8,5,7,2,6,3,4]=>0110100=>52
[5,8,1,7,2,6,3,4]=>1110000=>112
[5,8,2,7,1,6,3,4]=>1110000=>112
[2,8,6,7,1,5,3,4]=>1010010=>82
[2,8,5,7,1,6,3,4]=>1010100=>84
[2,8,1,7,5,6,3,4]=>1010100=>84
[1,8,2,7,5,6,3,4]=>0110100=>52
[1,8,2,7,4,6,3,5]=>0111000=>56
[2,8,1,7,4,6,3,5]=>1011000=>88
[2,8,4,7,1,6,3,5]=>1011000=>88
[4,8,2,7,1,6,3,5]=>1110000=>112
[4,8,1,7,2,6,3,5]=>1110000=>112
[1,8,4,7,2,6,3,5]=>0111000=>56
[4,8,1,7,5,6,2,3]=>1100100=>100
[1,8,4,7,5,6,2,3]=>0101100=>44
[1,8,3,7,5,6,2,4]=>0110100=>52
[3,8,1,7,5,6,2,4]=>1100100=>100
[3,8,1,7,4,6,2,5]=>1101000=>104
[1,8,3,7,4,6,2,5]=>0111000=>56
[1,8,3,7,2,6,4,5]=>0111000=>56
[3,8,1,7,2,6,4,5]=>1101000=>104
[3,8,2,7,1,6,4,5]=>1101000=>104
[3,8,2,7,4,6,1,5]=>1101000=>104
[3,8,2,7,5,6,1,4]=>1100100=>100
[4,8,2,7,5,6,1,3]=>1100100=>100
[4,8,3,7,5,6,1,2]=>1010100=>84
[3,8,4,7,5,6,1,2]=>1001100=>76
[2,8,4,7,5,6,1,3]=>1001100=>76
[2,8,3,7,5,6,1,4]=>1010100=>84
[2,8,3,7,4,6,1,5]=>1011000=>88
[2,8,3,7,1,6,4,5]=>1011000=>88
[2,8,1,7,3,6,4,5]=>1011000=>88
[7,5,2,8,6,4,1,3]=>1101110=>110
[7,5,1,8,6,2,3,4]=>1100110=>102
[7,4,8,6,1,5,2,3]=>1101010=>106
[7,1,8,4,5,2,6,3]=>1111000=>120
[6,8,1,7,4,2,5,3]=>1111000=>120
[1,6,7,4,2,8,5,3]=>0111100=>60
[1,6,7,3,8,5,2,4]=>0110100=>52
[7,1,8,3,5,6,2,4]=>1110000=>112
[7,3,8,6,2,5,1,4]=>1110010=>114
[7,4,2,8,6,1,3,5]=>1101010=>106
[7,3,1,8,4,2,5,6]=>1111000=>120
[7,2,8,4,1,5,3,6]=>1111000=>120
[7,2,8,3,5,1,6,4]=>1111000=>120
[7,2,8,3,4,6,1,5]=>1110000=>112
[1,5,7,8,2,6,3,4]=>0110000=>48
[6,2,3,8,5,7,4,1]=>1101100=>108
[6,2,4,8,5,3,1,7]=>1110100=>116
[6,3,1,4,8,5,2,7]=>1110100=>116
[2,6,3,7,8,5,4,1]=>1011100=>92
[2,6,3,7,8,4,5,1]=>1011000=>88
[2,4,7,3,5,6,8,1]=>1010000=>80
[2,4,7,3,6,8,5,1]=>1010100=>84
[2,5,3,7,8,1,6,4]=>1011000=>88
[3,1,5,4,7,8,2,6]=>1101000=>104
[5,3,1,4,8,2,6,7]=>1110000=>112
[5,2,4,8,6,1,3,7]=>1100010=>98
[5,2,3,8,4,6,7,1]=>1101000=>104
[4,8,2,3,6,1,7,5]=>1100100=>100
[4,8,2,3,5,7,1,6]=>1100000=>96
[1,4,7,8,3,6,2,5]=>0110000=>48
[4,8,1,3,6,7,2,5]=>1100000=>96
[5,3,8,2,4,7,1,6]=>1110000=>112
[5,4,3,8,1,2,7,6]=>1011010=>90
[6,4,2,8,1,3,7,5]=>1101100=>108
[6,3,8,2,5,1,7,4]=>1111000=>120
[6,3,8,1,4,7,2,5]=>1110000=>112
[5,8,1,3,6,2,7,4]=>1101000=>104
[1,5,7,4,2,6,8,3]=>0111000=>56
[5,8,1,4,2,6,3,7]=>1110000=>112
[5,8,4,1,2,7,6,3]=>1011010=>90
[6,5,1,2,8,7,3,4]=>1010101=>85
[6,5,3,1,4,2,8,7]=>1110101=>117
[5,3,1,6,4,2,7,8]=>1111000=>120
[5,2,6,4,1,7,3,8]=>1111000=>120
[4,6,1,7,5,2,8,3]=>1110100=>116
[4,5,1,7,2,6,3,8]=>1110000=>112
[3,5,6,1,2,8,7,4]=>1001001=>73
[3,5,7,1,8,6,2,4]=>1100010=>98
[3,6,2,7,5,1,8,4]=>1101100=>108
[4,2,5,7,1,8,6,3]=>1110010=>114
[3,4,7,2,8,6,1,5]=>1100010=>98
[3,4,5,8,2,7,1,6]=>1100000=>96
[3,4,6,2,8,1,5,7]=>1100000=>96
[3,5,2,6,8,1,7,4]=>1101000=>104
[4,2,5,6,1,3,8,7]=>1100001=>97
[4,3,1,2,5,6,8,7]=>1010001=>81
[5,3,6,8,4,7,2,1]=>1111000=>120
[3,7,2,5,4,8,6,1]=>1101010=>106
[8,4,2,5,7,3,6,1]=>1111000=>120
[4,7,2,5,8,3,6,1]=>1110000=>112
[5,2,6,8,4,3,7,1]=>1111000=>120
[3,1,6,5,4,8,2,7]=>1101100=>108
[4,1,6,5,8,3,2,7]=>1110100=>116
[5,1,6,8,4,3,2,7]=>1111000=>120
[8,5,4,7,6,3,2,1]=>1111110=>126
[5,7,1,8,4,3,2,6]=>1111000=>120
[2,7,1,5,4,3,8,6]=>1011010=>90
[8,2,1,5,4,3,7,6]=>1111010=>122
[8,4,1,5,7,3,2,6]=>1111000=>120
[8,5,6,7,1,3,2,4]=>1100100=>100
[8,4,6,1,7,3,2,5]=>1111000=>120
[8,3,6,1,4,7,2,5]=>1110000=>112
[2,7,6,1,4,3,8,5]=>1010110=>86
[6,7,8,5,1,3,2,4]=>1100100=>100
[5,7,6,8,2,3,4,1]=>1100010=>98
[5,7,2,8,4,3,6,1]=>1111000=>120
[6,7,8,2,4,3,5,1]=>1110000=>112
[4,7,6,2,8,3,5,1]=>1110010=>114
[8,3,6,2,4,7,5,1]=>1110100=>116
[3,7,6,2,4,8,5,1]=>1100110=>102
[5,7,3,8,4,6,2,1]=>1111000=>120
[4,7,3,5,8,6,2,1]=>1110010=>114
[8,7,2,1,4,3,6,5]=>1110101=>117
[8,7,3,1,4,6,2,5]=>1110001=>113
[8,7,6,3,2,5,4,1]=>1111011=>123
[8,7,3,5,1,6,2,4]=>1110001=>113
[8,7,2,5,1,3,6,4]=>1101001=>105
[8,2,6,5,1,3,7,4]=>1101100=>108
[8,4,6,5,7,1,2,3]=>1001100=>76
[5,7,6,8,4,1,2,3]=>1001010=>74
[4,7,6,5,8,1,2,3]=>1000110=>70
[3,7,6,5,1,8,2,4]=>1100110=>102
[8,1,2,3,4,5,6,7,9]=>10000000=>128
[1,9,2,3,4,5,6,7,8]=>01000000=>64
[9,1,2,3,4,5,6,7,8,10]=>100000000=>256
[7,8,1,2,3,4,5,6,9]=>10000000=>128
[1,8,9,2,3,4,5,6,7]=>01000000=>64
[1,10,2,3,4,5,6,7,8,9]=>010000000=>128
[8,9,1,2,3,4,5,6,7,10]=>100000000=>256
[7,1,8,2,3,4,5,6,9]=>11000000=>192
[6,8,1,2,3,4,5,7,9]=>10000000=>128
[1,8,2,9,3,4,5,6,7]=>01100000=>96
[1,7,9,2,3,4,5,6,8]=>01000000=>64
[1,9,10,2,3,4,5,6,7,8]=>010000000=>128
[3,6,4,8,7,5,1,2]=>1001101=>77
[5,6,4,3,8,7,1,2]=>1011001=>89
[1,6,2,4,7,8,5,3]=>0110100=>52
[3,6,2,4,8,1,5,7]=>1100000=>96
[3,4,7,2,8,1,6,5]=>1100100=>100
[1,4,7,2,5,8,6,3]=>0110010=>50
[7,3,8,4,5,6,1,2]=>1011000=>88
[3,5,6,4,8,7,1,2]=>1001001=>73
[4,6,8,5,3,7,1,2]=>1010100=>84
[6,8,5,3,4,7,1,2]=>1010100=>84
[1,6,5,4,2,8,7,3]=>0111101=>61
[1,8,5,2,7,3,6,4]=>0111100=>60
[4,2,7,5,1,8,6,3]=>1110110=>118
[7,8,1,4,2,6,5,3]=>1110100=>116
[1,3,6,4,8,2,5,7]=>0101000=>40
[4,1,7,5,3,2,6,8]=>1110100=>116
[6,5,1,3,4,2,8,7]=>1100101=>101
[4,8,5,3,1,7,2,6]=>1110100=>116
[7,4,5,3,2,8,1,6]=>1111000=>120
[5,8,3,6,1,4,2,7]=>1110000=>112
[2,5,8,6,4,1,3,7]=>1001010=>74
[1,4,6,2,5,8,3,7]=>0110000=>48
[3,6,2,5,8,1,7,4]=>1101000=>104
[1,6,8,7,4,2,3,5]=>0101001=>41
[6,1,7,8,2,4,3,5]=>1110000=>112
[7,1,8,6,3,4,2,5]=>1110010=>114
[7,2,1,4,5,6,8,3]=>1110000=>112
[1,2,8,3,6,5,7,4]=>0011100=>28
[6,1,3,2,7,5,8,4]=>1101100=>108
[1,6,3,8,5,7,2,4]=>0110100=>52
[2,6,4,1,7,5,8,3]=>1011100=>92
[7,6,5,8,1,4,2,3]=>1100110=>102
[5,8,6,7,3,2,1,4]=>1110010=>114
[1,6,4,3,7,2,8,5]=>0111100=>60
[2,6,3,4,8,7,1,5]=>1010001=>81
[7,1,3,4,5,2,8,6]=>1100010=>98
[1,8,3,5,4,2,7,6]=>0111010=>58
[4,1,6,3,8,2,7,5]=>1110100=>116
[7,8,2,4,6,3,1,5]=>1110000=>112
[3,2,6,4,7,8,1,5]=>1101000=>104
[2,8,5,7,4,3,1,6]=>1011100=>92
[7,2,5,8,3,4,1,6]=>1110000=>112
[5,3,8,7,1,2,6,4]=>1011001=>89
[6,5,3,8,2,1,7,4]=>1111100=>124
[7,5,8,4,1,2,3,6]=>1001100=>76
[5,8,7,4,1,3,2,6]=>1101001=>105
[3,5,7,8,4,1,2,6]=>1001000=>72
[1,4,7,5,3,8,2,6]=>0110100=>52
[2,4,6,7,3,1,8,5]=>1010100=>84
[7,8,4,6,3,1,2,5]=>1011000=>88
[2,6,4,5,3,8,1,7]=>1011000=>88
[3,6,5,8,4,2,1,7]=>1101100=>108
[5,6,8,4,2,3,1,7]=>1101000=>104
[6,8,5,4,3,1,2,7]=>1011100=>92
[6,1,4,2,8,5,7,3]=>1110100=>116
[4,8,6,5,3,2,7,1]=>1110110=>118
[8,6,5,1,2,4,7,3]=>1010110=>86
[6,7,5,8,2,1,4,3]=>1110100=>116
[1,7,5,8,2,6,4,3]=>0111100=>60
[1,3,8,5,7,6,2,4]=>0100110=>38
[6,3,8,5,7,1,2,4]=>1010100=>84
[8,3,1,5,6,2,7,4]=>1111000=>120
[6,8,5,2,1,4,7,3]=>1110100=>116
[3,8,2,5,6,1,7,4]=>1101000=>104
[2,8,1,5,6,3,7,4]=>1011000=>88
[8,1,2,5,6,3,7,4]=>1011000=>88
[1,8,2,5,7,6,3,4]=>0110010=>50
[5,1,8,6,2,7,3,4]=>1110010=>114
[2,5,8,6,1,7,3,4]=>1010010=>82
[8,6,1,5,7,2,3,4]=>1100010=>98
[3,8,6,5,7,1,2,4]=>1000110=>70
[7,6,5,8,1,2,4,3]=>1010110=>86
[5,1,7,6,8,4,2,3]=>1101010=>106
[5,1,3,7,8,6,2,4]=>1100010=>98
[7,2,5,8,1,6,4,3]=>1111000=>120
[3,2,8,5,7,6,1,4]=>1100110=>102
[8,2,1,5,7,6,3,4]=>1110010=>114
[5,2,8,6,1,7,3,4]=>1110010=>114
[1,2,8,6,5,7,3,4]=>0010110=>22
[4,2,1,3,6,7,8,5]=>1100100=>100
[8,2,5,6,3,7,1,4]=>1110000=>112
[7,2,6,5,4,1,8,3]=>1111100=>124
[6,1,3,5,4,7,8,2]=>1101000=>104
[6,1,5,3,4,7,8,2]=>1110000=>112
[7,5,6,2,4,1,8,3]=>1110100=>116
[8,5,2,6,3,7,1,4]=>1110100=>116
[4,3,1,2,6,7,8,5]=>1010100=>84
[8,1,6,5,7,3,2,4]=>1110100=>116
[3,5,8,6,2,7,1,4]=>1100010=>98
[5,8,1,6,3,7,2,4]=>1110000=>112
[1,8,5,6,3,7,2,4]=>0110100=>52
[1,7,6,5,4,2,8,3]=>0111110=>62
[5,7,6,1,4,2,8,3]=>1110010=>114
[7,1,4,2,6,5,8,3]=>1110100=>116
[4,1,7,3,5,6,8,2]=>1110000=>112
[2,7,4,1,5,6,8,3]=>1011000=>88
[5,7,6,4,1,2,8,3]=>1011010=>90
[4,7,6,1,5,2,8,3]=>1110010=>114
[1,7,6,4,5,2,8,3]=>0111010=>58
[1,8,3,6,5,7,2,4]=>0110100=>52
[3,8,1,6,5,7,2,4]=>1100100=>100
[8,1,3,5,7,6,2,4]=>1100010=>98
[7,8,5,4,1,6,2,3]=>1101100=>108
[6,1,5,4,3,7,8,2]=>1111000=>120
[7,5,6,4,2,1,8,3]=>1111100=>124
[8,3,2,6,5,7,1,4]=>1110100=>116
[7,4,6,2,5,1,8,3]=>1111000=>120
[6,1,4,3,5,7,8,2]=>1110000=>112
[6,1,3,4,5,7,8,2]=>1100000=>96
[7,2,6,4,5,1,8,3]=>1111000=>120
[8,2,3,6,5,7,1,4]=>1100100=>100
[5,4,7,3,6,8,1,2]=>1011000=>88
[3,4,7,8,5,6,1,2]=>1000100=>68
[3,4,7,2,5,1,6,8]=>1100000=>96
[1,4,7,2,5,8,3,6]=>0110000=>48
[3,6,2,4,7,1,5,8]=>1100000=>96
[6,8,3,4,5,7,1,2]=>1010000=>80
[4,3,6,7,5,8,1,2]=>1010100=>84
[6,3,7,5,8,4,1,2]=>1011100=>92
[7,3,8,6,4,5,1,2]=>1011010=>90
[3,2,7,6,5,1,4,8]=>1100110=>102
[1,2,7,6,5,8,3,4]=>0010110=>22
[4,8,2,6,1,5,3,7]=>1110000=>112
[2,3,8,6,4,1,5,7]=>1001010=>74
[4,3,6,2,5,1,8,7]=>1110001=>113
[7,8,3,2,5,1,4,6]=>1110000=>112
[7,8,1,2,5,6,3,4]=>1010000=>80
[4,1,6,2,5,7,3,8]=>1110000=>112
[6,1,2,5,8,7,3,4]=>1010001=>81
[2,1,8,6,4,7,3,5]=>1011010=>90
[7,1,3,6,8,4,2,5]=>1101000=>104
[1,8,3,6,7,4,5,2]=>0111000=>56
[7,1,5,8,3,6,2,4]=>1110000=>112
[5,1,8,7,2,3,6,4]=>1101001=>105
[6,1,5,7,4,2,8,3]=>1111000=>120
[3,1,6,4,7,2,5,8]=>1101000=>104
[2,4,7,5,1,8,3,6]=>1010100=>84
[6,5,7,1,4,2,3,8]=>1100100=>100
[5,6,8,1,3,2,4,7]=>1100000=>96
[6,8,5,1,3,4,2,7]=>1100100=>100
[2,8,3,4,5,1,7,6]=>1010010=>82
[6,2,4,3,1,5,7,8]=>1110000=>112
[4,2,8,3,1,7,5,6]=>1110100=>116
[1,3,7,4,8,2,5,6]=>0101000=>40
[5,3,7,4,1,6,2,8]=>1111000=>120
[2,4,7,3,6,1,8,5]=>1010100=>84
[5,8,7,6,3,1,2,4]=>1010011=>83
[7,5,6,8,1,4,3,2]=>1110100=>116
[2,4,7,1,6,5,3,8]=>1010100=>84
[1,2,7,8,5,4,3,6]=>0011100=>28
[6,3,1,2,8,4,5,7]=>1011000=>88
[4,2,1,3,6,5,8,7]=>1100101=>101
[2,8,1,4,5,6,3,7]=>1010000=>80
[7,2,1,5,4,6,3,8]=>1111000=>120
[4,2,6,1,8,5,3,7]=>1110100=>116
[7,8,2,1,4,5,3,6]=>1110000=>112
[7,8,4,1,5,3,6,2]=>1111000=>120
[3,4,6,1,5,8,7,2]=>1100001=>97
[7,5,1,6,4,3,8,2]=>1111100=>124
[5,8,1,6,3,4,7,2]=>1110000=>112
[6,5,1,8,2,7,4,3]=>1111100=>124
[6,8,1,7,5,2,3,4]=>1100100=>100
[7,6,1,8,5,3,2,4]=>1110110=>118
[5,6,1,7,4,8,2,3]=>1101000=>104
[3,6,1,5,7,4,2,8]=>1101000=>104
[2,5,6,1,7,4,8,3]=>1011000=>88
[3,1,7,5,6,4,8,2]=>1101100=>108
[5,1,7,6,4,8,3,2]=>1111010=>122
[6,1,7,8,5,3,4,2]=>1110100=>116
[7,1,8,6,5,4,2,3]=>1101110=>110
[2,6,5,7,3,4,8,1]=>1010100=>84
[1,6,4,7,5,8,2,3]=>0101100=>44
[8,5,3,6,2,7,4,1]=>1111100=>124
[1,3,7,4,6,8,2,5]=>0101000=>40
[4,7,5,6,3,2,8,1]=>1110100=>116
[1,7,6,5,4,8,2,3]=>0101110=>46
[8,1,6,5,7,2,4,3]=>1110100=>116
[1,2,7,6,8,3,4,5]=>0010010=>18
[6,1,7,5,3,8,2,4]=>1110100=>116
[2,1,7,5,6,8,3,4]=>1010100=>84
[5,4,1,7,6,8,2,3]=>1101010=>106
[4,8,5,6,2,7,3,1]=>1110100=>116
[3,8,6,4,2,7,5,1]=>1101110=>110
[7,8,5,2,4,6,3,1]=>1110100=>116
[2,8,6,3,7,4,5,1]=>1011010=>90
[7,8,1,6,2,4,5,3]=>1110000=>112
[6,8,1,4,7,2,5,3]=>1110000=>112
[3,8,4,1,7,2,6,5]=>1101100=>108
[5,4,7,1,8,3,2,6]=>1111000=>120
[3,7,4,1,8,5,2,6]=>1101100=>108
[6,7,1,4,8,3,2,5]=>1110000=>112
[2,7,1,8,4,5,3,6]=>1011000=>88
[6,1,2,8,4,3,5,7]=>1011000=>88
[6,5,1,4,3,8,2,7]=>1110100=>116
[1,6,2,5,8,3,4,7]=>0110000=>48
[8,5,1,3,7,2,6,4]=>1101100=>108
[8,4,2,1,7,3,6,5]=>1111100=>124
[7,4,2,1,8,5,3,6]=>1111100=>124
[1,5,4,2,8,3,6,7]=>0111000=>56
[6,4,3,1,5,8,2,7]=>1111000=>120
[3,7,6,8,4,5,2,1]=>1101010=>106
[2,7,6,8,5,3,4,1]=>1010110=>86
[1,7,6,8,5,4,2,3]=>0101110=>46
[1,4,8,6,7,5,2,3]=>0100110=>38
[2,4,8,6,7,3,5,1]=>1010010=>82
[7,3,8,5,4,6,2,1]=>1111100=>124
[3,4,8,5,6,7,2,1]=>1100100=>100
[6,3,5,8,4,7,2,1]=>1111000=>120
[5,4,3,8,6,7,2,1]=>1111010=>122
[5,4,2,8,7,3,6,1]=>1111001=>121
[6,2,5,8,7,3,4,1]=>1110001=>113
[3,2,8,5,7,4,6,1]=>1101100=>108
[1,3,8,7,5,6,2,4]=>0100101=>37
[2,1,8,7,4,6,3,5]=>1011001=>89
[3,1,8,5,7,6,2,4]=>1100110=>102
[6,1,5,8,7,4,2,3]=>1101001=>105
[5,4,1,8,7,6,2,3]=>1101011=>107
[5,8,6,7,4,3,2,1]=>1111010=>122
[4,8,7,5,6,3,2,1]=>1110101=>117
[4,2,1,6,3,5,8,7]=>1110001=>113
[6,2,1,4,3,5,8,7]=>1110001=>113
[6,2,1,4,3,8,5,7]=>1110100=>116
[8,2,1,4,3,6,5,7]=>1110100=>116
[8,2,4,1,3,6,5,7]=>1100100=>100
[6,2,4,1,3,8,5,7]=>1100100=>100
[6,2,4,1,3,5,8,7]=>1100001=>97
[4,2,6,1,3,5,8,7]=>1100001=>97
[2,1,6,4,3,5,8,7]=>1011001=>89
[2,6,1,4,3,5,8,7]=>1010001=>81
[2,6,4,1,3,5,8,7]=>1001001=>73
[4,6,2,1,3,5,8,7]=>1100001=>97
[6,4,2,1,3,5,8,7]=>1101001=>105
[8,4,2,1,3,6,5,7]=>1101100=>108
[8,4,2,1,6,3,5,7]=>1111000=>120
[6,4,2,1,8,3,5,7]=>1111000=>120
[4,6,2,1,8,3,5,7]=>1110000=>112
[2,6,1,4,3,8,5,7]=>1010100=>84
[2,1,6,4,3,8,5,7]=>1011100=>92
[2,1,8,4,3,6,5,7]=>1011100=>92
[2,8,1,4,3,6,5,7]=>1010100=>84
[2,8,4,1,3,6,5,7]=>1001100=>76
[4,8,2,1,3,6,5,7]=>1100100=>100
[4,8,2,1,6,3,5,7]=>1110000=>112
[6,8,2,1,4,3,5,7]=>1110000=>112
[8,6,2,1,4,3,5,7]=>1110010=>114
[2,8,1,4,6,3,5,7]=>1010000=>80
[2,1,8,4,6,3,5,7]=>1011000=>88
[2,1,6,4,8,3,5,7]=>1011000=>88
[2,6,1,4,8,3,5,7]=>1010000=>80
[2,6,4,1,8,3,5,7]=>1011000=>88
[2,6,4,8,1,3,5,7]=>1001000=>72
[4,6,2,8,1,3,5,7]=>1100000=>96
[4,2,6,1,3,8,5,7]=>1100100=>100
[4,2,6,1,8,3,5,7]=>1110000=>112
[6,2,4,1,8,3,5,7]=>1110000=>112
[8,2,4,1,6,3,5,7]=>1110000=>112
[8,2,1,4,6,3,5,7]=>1110000=>112
[6,2,1,4,8,3,5,7]=>1110000=>112
[4,2,1,6,8,3,5,7]=>1110000=>112
[4,2,1,6,3,8,5,7]=>1110100=>116
[4,2,1,3,6,8,5,7]=>1100100=>100
[2,1,4,3,8,6,5,7]=>1010110=>86
[2,4,1,3,8,6,5,7]=>1000110=>70
[4,2,1,3,8,6,5,7]=>1100110=>102
[4,2,1,8,3,6,5,7]=>1110100=>116
[4,2,1,8,6,3,5,7]=>1110010=>114
[6,2,1,8,4,3,5,7]=>1111000=>120
[8,2,1,6,4,3,5,7]=>1111000=>120
[8,2,6,1,4,3,5,7]=>1110000=>112
[6,2,8,1,4,3,5,7]=>1110000=>112
[4,2,8,1,6,3,5,7]=>1110000=>112
[4,2,8,1,3,6,5,7]=>1100100=>100
[2,4,8,1,3,6,5,7]=>1000100=>68
[2,4,1,8,3,6,5,7]=>1010100=>84
[2,1,4,8,3,6,5,7]=>1010100=>84
[2,1,4,8,6,3,5,7]=>1010010=>82
[2,4,8,1,6,3,5,7]=>1010000=>80
[2,4,8,6,1,3,5,7]=>1000010=>66
[4,2,8,6,1,3,5,7]=>1100010=>98
[6,2,8,4,1,3,5,7]=>1101000=>104
[8,2,6,4,1,3,5,7]=>1101000=>104
[8,4,6,2,1,3,5,7]=>1101000=>104
[6,4,8,2,1,3,5,7]=>1101000=>104
[4,6,8,2,1,3,5,7]=>1100000=>96
[2,6,8,4,1,3,5,7]=>1001000=>72
[2,6,8,1,4,3,5,7]=>1010000=>80
[2,6,1,8,4,3,5,7]=>1011000=>88
[2,1,6,8,4,3,5,7]=>1011000=>88
[2,1,8,6,4,3,5,7]=>1011010=>90
[2,8,1,6,4,3,5,7]=>1011000=>88
[2,8,6,4,1,3,5,7]=>1001010=>74
[4,8,6,2,1,3,5,7]=>1100010=>98
[6,8,4,2,1,3,5,7]=>1101000=>104
[3,2,6,1,5,4,8,7]=>1101001=>105
[5,2,4,3,8,1,7,6]=>1110010=>114
[6,2,4,1,5,3,8,7]=>1110001=>113
[4,3,6,1,5,2,8,7]=>1110001=>113
[4,3,5,2,8,1,7,6]=>1110010=>114
[4,3,7,2,6,5,8,1]=>1110100=>116
[4,3,8,2,6,1,7,5]=>1110100=>116
[4,3,8,1,7,2,6,5]=>1110100=>116
[4,3,8,1,5,2,7,6]=>1110010=>114
[5,1,8,3,4,2,7,6]=>1110010=>114
[5,4,8,1,3,2,7,6]=>1101010=>106
[2,1,5,4,8,3,7,6]=>1011010=>90
[5,1,7,6,8,3,4,2]=>1110010=>114
[4,3,7,6,8,1,5,2]=>1110010=>114
[4,3,7,1,8,5,6,2]=>1110100=>116
[4,3,6,5,8,1,7,2]=>1110100=>116
[6,3,5,4,7,2,8,1]=>1111000=>120
[6,3,5,4,8,1,7,2]=>1111000=>120
[7,1,6,3,8,4,5,2]=>1111000=>120
[7,4,6,5,8,1,3,2]=>1101100=>108
[2,1,8,4,6,3,7,5]=>1011100=>92
[8,4,6,1,3,2,7,5]=>1101100=>108
[8,1,6,3,4,2,7,5]=>1110100=>116
[8,1,6,3,7,2,5,4]=>1111000=>120
[8,3,5,1,7,2,6,4]=>1111000=>120
[8,3,5,2,6,1,7,4]=>1111000=>120
[7,3,5,2,6,4,8,1]=>1111000=>120
[8,2,6,3,5,1,7,4]=>1111000=>120
[8,2,7,1,5,3,6,4]=>1111000=>120
[8,2,4,1,5,3,7,6]=>1110010=>114
[8,2,4,1,7,3,6,5]=>1110100=>116
[8,2,4,3,6,1,7,5]=>1110100=>116
[3,2,8,4,6,1,7,5]=>1101100=>108
[3,2,8,1,5,4,7,6]=>1101010=>106
[3,2,7,6,8,1,5,4]=>1101010=>106
[3,2,7,1,8,5,6,4]=>1101100=>108
[3,2,6,5,8,1,7,4]=>1101100=>108
[6,5,7,2,4,3,8,1]=>1110100=>116
[6,5,8,2,4,1,7,3]=>1110100=>116
[7,2,4,1,8,5,6,3]=>1110100=>116
[7,6,8,2,4,1,5,3]=>1110010=>114
[7,6,8,1,5,2,4,3]=>1110010=>114
[2,1,7,3,8,5,6,4]=>1011100=>92
[7,1,3,2,8,5,6,4]=>1101100=>108
[7,1,8,5,6,2,4,3]=>1110100=>116
[7,1,8,2,6,4,5,3]=>1111000=>120
[7,2,8,1,5,4,6,3]=>1111000=>120
[6,2,7,4,5,3,8,1]=>1111000=>120
[5,4,7,2,6,3,8,1]=>1111000=>120
[5,4,8,2,6,1,7,3]=>1111000=>120
[6,5,8,1,7,2,4,3]=>1110100=>116
[2,1,6,5,8,3,7,4]=>1011100=>92
[6,5,7,4,8,1,3,2]=>1101100=>108
[6,5,7,1,8,3,4,2]=>1110100=>116
[6,1,7,4,8,3,5,2]=>1111000=>120
[5,4,7,1,8,3,6,2]=>1111000=>120
[5,4,6,3,8,1,7,2]=>1111000=>120
[2,8,3,1,5,4,6,7]=>1011000=>88
[2,5,3,4,7,1,8,6]=>1010010=>82
[2,4,8,3,5,7,6,1]=>1010010=>82
[4,2,5,3,1,8,6,7]=>1110010=>114
[4,2,1,8,5,3,6,7]=>1110100=>116
[5,4,1,3,8,2,6,7]=>1101000=>104
[5,1,4,8,3,2,6,7]=>1110000=>112
[1,5,8,4,3,2,6,7]=>0111000=>56
[1,8,5,4,3,2,6,7]=>0111100=>60
[1,7,4,3,8,5,2,6]=>0111100=>60
[1,5,7,3,8,4,2,6]=>0111000=>56
[5,1,4,7,8,3,2,6]=>1110000=>112
[4,8,1,5,7,3,6,2]=>1110000=>112
[8,1,5,3,7,4,6,2]=>1111000=>120
[3,8,4,7,6,5,2,1]=>1101110=>110
[1,6,8,5,3,7,4,2]=>0111100=>60
[6,8,1,7,4,3,5,2]=>1111000=>120
[6,4,8,1,7,3,5,2]=>1111000=>120
[6,4,8,7,1,5,2,3]=>1101001=>105
[7,6,4,1,3,8,2,5]=>1101010=>106
[1,7,5,6,3,2,8,4]=>0111100=>60
[4,2,1,7,8,5,3,6]=>1110100=>116
[2,7,4,6,3,1,8,5]=>1011100=>92
[2,6,8,4,3,7,5,1]=>1011100=>92
[6,2,4,8,3,7,5,1]=>1110100=>116
[7,2,6,3,4,1,8,5]=>1110100=>116
[2,6,7,3,1,4,8,5]=>1010100=>84
[2,7,1,8,3,5,4,6]=>1011000=>88
[2,1,7,3,5,8,4,6]=>1011000=>88
[8,7,1,3,6,2,4,5]=>1100001=>97
[8,2,1,7,3,5,6,4]=>1111000=>120
[7,8,2,6,3,1,5,4]=>1111000=>120
[8,7,2,6,3,5,4,1]=>1111001=>121
[1,2,8,7,4,5,6,3]=>0011001=>25
[8,3,7,1,5,6,2,4]=>1110000=>112
[8,6,1,2,7,5,3,4]=>1010110=>86
[8,1,6,2,7,4,5,3]=>1111000=>120
[1,8,5,2,6,7,4,3]=>0111100=>60
[5,2,1,8,6,7,4,3]=>1111010=>122
[2,8,5,7,6,4,3,1]=>1011110=>94
[1,7,8,5,2,6,4,3]=>0111100=>60
[7,8,1,6,4,2,5,3]=>1111000=>120
[7,8,6,1,5,3,2,4]=>1110010=>114
[7,3,8,6,1,5,2,4]=>1110010=>114
[8,7,6,1,5,3,4,2]=>1110011=>115
[8,7,1,6,4,5,3,2]=>1111001=>121
[8,1,7,5,6,4,3,2]=>1111100=>124
[1,8,6,7,5,4,3,2]=>0111110=>62
[6,3,5,2,1,4,8,7]=>1110001=>113
[6,3,5,7,2,8,4,1]=>1111000=>120
[8,5,2,7,4,3,1,6]=>1111100=>124
[4,5,3,6,1,2,8,7]=>1010001=>81
[3,5,1,4,6,2,8,7]=>1100001=>97
[8,3,4,5,7,2,1,6]=>1110000=>112
[5,7,4,6,3,8,2,1]=>1111000=>120
[2,8,4,6,3,7,1,5]=>1011000=>88
[8,1,4,7,3,6,2,5]=>1110000=>112
[8,3,4,7,5,1,2,6]=>1010100=>84
[8,5,1,4,7,3,2,6]=>1110100=>116
[8,5,3,7,1,4,2,6]=>1110100=>116
[2,1,8,5,7,4,3,6]=>1011100=>92
[6,5,3,7,1,8,4,2]=>1111100=>124
[6,5,1,4,7,8,3,2]=>1110100=>116
[6,3,4,7,5,8,1,2]=>1010100=>84
[5,1,4,6,8,3,7,2]=>1110000=>112
[4,7,1,3,5,8,6,2]=>1100010=>98
[4,8,3,7,1,2,6,5]=>1010100=>84
[3,8,6,4,1,7,2,5]=>1101010=>106
[3,8,1,2,5,7,6,4]=>1001010=>74
[2,8,7,5,4,1,3,6]=>1001101=>77
[8,7,2,6,4,1,3,5]=>1101001=>105
[3,8,6,7,4,2,1,5]=>1101010=>106
[5,7,6,8,4,2,3,1]=>1101010=>106
[5,3,7,8,2,4,6,1]=>1110000=>112
[8,3,6,2,1,4,7,5]=>1110100=>116
[5,3,7,6,2,1,8,4]=>1111010=>122
[5,3,6,2,8,7,1,4]=>1110001=>113
[5,7,8,6,4,2,1,3]=>1101010=>106
[2,6,7,5,4,8,1,3]=>1001100=>76
[6,1,7,4,5,8,2,3]=>1101000=>104
[6,7,3,5,1,8,2,4]=>1110000=>112
[2,1,6,7,5,8,3,4]=>1010100=>84
[2,1,5,7,3,6,8,4]=>1011000=>88
[5,7,3,6,1,2,8,4]=>1011000=>88
[4,1,7,2,5,6,8,3]=>1110000=>112
[2,4,7,1,6,5,8,3]=>1010100=>84
[4,6,2,1,8,7,5,3]=>1110101=>117
[3,4,6,2,7,8,5,1]=>1100100=>100
[4,6,1,2,5,8,7,3]=>1010001=>81
[5,6,1,4,8,2,7,3]=>1110000=>112
[5,6,3,1,8,7,2,4]=>1110001=>113
[3,5,6,4,7,1,8,2]=>1101000=>104
[3,4,6,1,5,7,8,2]=>1100000=>96
[3,4,1,5,7,6,8,2]=>1100010=>98
[3,8,2,7,1,6,5,4]=>1101100=>108
[3,8,2,7,6,1,5,4]=>1101010=>106
[3,8,2,7,6,5,1,4]=>1100110=>102
[3,8,2,7,6,5,4,1]=>1101110=>110
[4,8,7,2,6,5,3,1]=>1110101=>117
[4,8,7,2,6,5,1,3]=>1100101=>101
[4,8,7,2,6,1,5,3]=>1110001=>113
[4,8,7,2,1,6,5,3]=>1110101=>117
[4,8,7,3,1,6,5,2]=>1110101=>117
[4,8,7,3,2,1,6,5]=>1110101=>117
[4,8,7,3,2,6,1,5]=>1110001=>113
[4,8,7,3,2,6,5,1]=>1110101=>117
[4,8,7,3,6,2,5,1]=>1110001=>113
[4,8,7,3,6,2,1,5]=>1110001=>113
[4,8,7,3,6,1,5,2]=>1110001=>113
[4,8,7,3,6,5,1,2]=>1010101=>85
[4,8,7,3,6,5,2,1]=>1110101=>117
[5,8,7,6,3,4,2,1]=>1110011=>115
[5,8,7,6,3,1,4,2]=>1110011=>115
[5,8,7,6,3,2,4,1]=>1110011=>115
[5,8,7,6,2,4,3,1]=>1110011=>115
[5,8,7,6,2,1,4,3]=>1110011=>115
[5,8,7,6,4,2,3,1]=>1101011=>107
[5,8,7,6,4,2,1,3]=>1101011=>107
[5,8,7,6,4,1,3,2]=>1101011=>107
[5,8,7,6,4,3,1,2]=>1011011=>91
[7,3,4,2,1,6,5,8]=>1110100=>116
[7,3,5,2,6,1,4,8]=>1110000=>112
[7,3,5,2,6,4,1,8]=>1111000=>120
[6,3,5,2,7,4,8,1]=>1111000=>120
[7,2,1,5,6,4,3,8]=>1111000=>120
[7,3,5,1,6,4,2,8]=>1111000=>120
[7,4,5,6,1,3,2,8]=>1101000=>104
[1,4,5,7,3,2,8,6]=>0110010=>50
[1,4,6,7,3,8,2,5]=>0110000=>48
[6,4,5,7,3,1,8,2]=>1111000=>120
[6,4,5,7,1,3,8,2]=>1101000=>104
[6,3,5,1,7,4,8,2]=>1111000=>120
[6,2,1,5,7,4,8,3]=>1111000=>120
[3,2,1,5,7,4,8,6]=>1101010=>106
[2,4,6,7,3,8,1,5]=>1010000=>80
[1,4,6,7,3,8,5,2]=>0110100=>52
[1,5,6,7,8,3,4,2]=>0110000=>48
[2,5,6,7,8,3,1,4]=>1010000=>80
[3,2,1,6,7,8,4,5]=>1101000=>104
[5,2,1,6,7,8,4,3]=>1111000=>120
[5,3,6,1,7,8,4,2]=>1111000=>120
[5,4,6,7,1,8,3,2]=>1111000=>120
[1,5,6,7,8,3,2,4]=>0110000=>48
[6,4,5,7,2,1,8,3]=>1111000=>120
[5,4,6,7,2,8,3,1]=>1111000=>120
[5,3,6,2,7,8,4,1]=>1111000=>120
[5,3,6,2,7,8,1,4]=>1110000=>112
[6,3,5,2,7,1,8,4]=>1111000=>120
[6,3,4,2,1,7,8,5]=>1110100=>116
[5,3,4,1,2,7,8,6]=>1010010=>82
[4,3,6,2,7,8,1,5]=>1110000=>112
[4,3,6,2,7,8,5,1]=>1110100=>116
[1,3,6,2,7,8,5,4]=>0101100=>44
[1,4,6,7,2,8,5,3]=>0110100=>52
[3,4,6,7,2,8,5,1]=>1100100=>100
[3,4,5,7,2,1,8,6]=>1100010=>98
[4,2,1,5,7,3,8,6]=>1110010=>114
[4,2,1,6,7,8,3,5]=>1110000=>112
[4,3,6,1,7,8,2,5]=>1110000=>112
[1,5,6,7,8,2,4,3]=>0110000=>48
[1,5,6,7,8,4,2,3]=>0101000=>40
[3,4,6,7,1,8,5,2]=>1100100=>100
[4,3,6,1,7,8,5,2]=>1110100=>116
[4,2,1,6,7,8,5,3]=>1110100=>116
[2,3,6,1,7,8,5,4]=>1001100=>76
[2,4,6,7,1,8,5,3]=>1010100=>84
[2,5,6,7,8,1,4,3]=>1010000=>80
[2,1,4,3,6,5,8,7,9]=>10101010=>170
[2,4,1,3,6,5,8,7,9]=>10001010=>138
[2,4,1,6,3,5,8,7,9]=>10100010=>162
[2,4,1,6,3,8,5,7,9]=>10101000=>168
[2,4,1,6,3,7,5,9,8]=>10101001=>169
[2,4,1,5,3,7,6,9,8]=>10100101=>165
[2,3,1,5,4,7,6,9,8]=>10010101=>149
[1,3,2,5,4,7,6,9,8]=>01010101=>85
[2,4,1,3,6,5,8,7,10,9]=>100010101=>277
[2,4,6,1,3,5,8,7,9]=>10000010=>130
[2,4,1,6,3,5,8,7,10,9]=>101000101=>325
[2,4,1,6,8,3,5,7,9]=>10100000=>160
[2,4,1,6,3,8,5,7,10,9]=>101010001=>337
[2,4,1,6,3,8,9,5,7]=>10101000=>168
[2,4,1,6,3,8,5,10,7,9]=>101010100=>340
[2,4,1,6,3,7,5,8,9]=>10101000=>168
[2,4,1,6,3,8,5,9,7,10]=>101010100=>340
[2,4,1,5,3,8,6,9,7]=>10100110=>166
[2,4,1,6,3,7,5,9,8,10]=>101010010=>338
[2,3,1,6,4,7,5,9,8]=>10011001=>153
[2,4,1,5,3,7,6,9,8,10]=>101001010=>330
[1,4,2,5,3,7,6,9,8]=>01100101=>101
[2,3,1,5,4,7,6,9,8,10]=>100101010=>298
[1,3,2,5,4,7,6,9,8,10]=>010101010=>170
[7,1,2,3,4,5,6,8,9]=>10000000=>128
[1,4,3,6,2,5,7,8]=>0110000=>48
[1,4,3,7,2,5,6,8]=>0110000=>48
[1,4,3,7,6,8,2,5]=>0110010=>50
[1,4,3,7,5,8,2,6]=>0110100=>52
[1,4,3,7,2,6,5,8]=>0110100=>52
[1,5,3,7,4,8,2,6]=>0111000=>56
[1,3,2,6,5,8,4,7]=>0101100=>44
[1,5,4,8,2,6,3,7]=>0111000=>56
[1,5,4,8,3,7,2,6]=>0111000=>56
[1,2,3,6,5,8,4,7]=>0001100=>12
[6,8,2,4,5,7,1,3]=>1100000=>96
[3,7,8,4,5,2,6,1]=>1101000=>104
[7,8,1,4,5,3,6,2]=>1110000=>112
[3,8,7,4,1,6,5,2]=>1101101=>109
[4,8,3,6,1,5,7,2]=>1110000=>112
[5,8,3,1,6,4,7,2]=>1111000=>120
[5,8,1,4,7,6,3,2]=>1110010=>114
[7,5,1,8,6,2,4,3]=>1110110=>118
[7,4,1,8,2,6,3,5]=>1111000=>120
[7,1,8,4,2,6,3,5]=>1111000=>120
[1,6,3,8,5,2,4,7]=>0110100=>52
[6,1,3,8,5,2,4,7]=>1100100=>100
[7,1,8,3,6,2,5,4]=>1111000=>120
[7,3,1,8,4,2,6,5]=>1111100=>124
[7,2,8,4,1,6,5,3]=>1111100=>124
[7,2,8,3,6,5,1,4]=>1110100=>116
[7,2,8,3,6,1,5,4]=>1111000=>120
[7,1,8,2,3,6,5,4]=>1101100=>108
[6,1,2,8,3,5,4,7]=>1011000=>88
[1,5,2,3,8,4,7,6]=>0101010=>42
[5,1,2,3,8,4,7,6]=>1001010=>74
[5,2,3,8,1,4,7,6]=>1100010=>98
[6,2,8,1,3,5,4,7]=>1101000=>104
[6,2,4,1,8,7,3,5]=>1110001=>113
[6,3,1,4,2,8,5,7]=>1110100=>116
[3,1,6,4,2,8,5,7]=>1101100=>108
[2,6,3,8,7,1,5,4]=>1011001=>89
[2,6,3,8,5,1,4,7]=>1010100=>84
[2,5,1,8,3,4,7,6]=>1010010=>82
[2,5,1,3,8,4,7,6]=>1001010=>74
[1,2,5,3,8,4,7,6]=>0011010=>26
[1,2,4,8,3,7,6,5]=>0010110=>22
[2,4,8,1,3,7,6,5]=>1000110=>70
[2,4,8,3,7,1,6,5]=>1010100=>84
[2,4,8,3,7,6,1,5]=>1010010=>82
[2,5,3,8,1,7,4,6]=>1011000=>88
[2,5,4,1,3,8,7,6]=>1001011=>75
[3,1,5,4,8,2,7,6]=>1101010=>106
[5,3,1,4,8,2,7,6]=>1110010=>114
[5,2,3,8,4,7,1,6]=>1101000=>104
[4,8,2,3,7,6,1,5]=>1100010=>98
[4,8,2,3,7,1,6,5]=>1100100=>100
[4,8,1,2,3,7,6,5]=>1000110=>70
[1,4,8,2,3,7,6,5]=>0100110=>38
[1,4,8,3,7,2,6,5]=>0110100=>52
[6,3,8,1,5,2,4,7]=>1110000=>112
[5,3,8,1,2,4,7,6]=>1010010=>82
[5,1,3,8,2,4,7,6]=>1100010=>98
[1,5,3,8,2,4,7,6]=>0110010=>50
[1,5,4,8,2,7,6,3]=>0111010=>58
[5,1,4,8,2,7,6,3]=>1110010=>114
[5,4,8,1,2,7,6,3]=>1011010=>90
[6,5,1,2,8,7,4,3]=>1011101=>93
[5,3,1,6,4,2,8,7]=>1111001=>121
[5,1,6,2,8,7,4,3]=>1111001=>121
[4,1,5,8,2,7,6,3]=>1110010=>114
[4,1,2,5,8,7,6,3]=>1010011=>83
[1,4,2,5,8,7,6,3]=>0110011=>51
[1,3,5,2,8,7,4,6]=>0101001=>41
[3,5,1,2,8,7,4,6]=>1001001=>73
[3,6,2,8,7,5,1,4]=>1100101=>101
[4,2,6,1,8,7,3,5]=>1110001=>113
[4,3,1,5,8,2,7,6]=>1110010=>114
[3,5,2,8,7,1,4,6]=>1100001=>97
[3,4,8,7,2,6,1,5]=>1100001=>97
[3,4,8,7,1,2,6,5]=>1000101=>69
[3,4,8,1,7,2,6,5]=>1100100=>100
[1,3,4,8,7,2,6,5]=>0100101=>37
[1,3,4,8,2,7,6,5]=>0100110=>38
[3,4,8,1,2,7,6,5]=>1000110=>70
[3,4,8,2,7,1,6,5]=>1100100=>100
[3,4,8,2,7,6,1,5]=>1100010=>98
[4,2,5,8,1,7,6,3]=>1110010=>114
[4,3,1,2,5,8,7,6]=>1010011=>83
[3,1,4,2,5,8,7,6]=>1100011=>99
[2,3,5,1,8,7,6,4]=>1001011=>75
[7,8,2,1,5,3,6,4]=>1111000=>120
[6,4,1,2,7,3,5,8]=>1011000=>88
[2,3,7,5,4,1,8,6]=>1001110=>78
[6,3,1,5,4,2,7,8]=>1111000=>120
[7,8,1,5,4,2,6,3]=>1111000=>120
[7,8,3,5,4,1,6,2]=>1111000=>120
[7,8,2,5,4,1,3,6]=>1101000=>104
[7,8,2,5,4,6,1,3]=>1101000=>104
[6,2,1,5,4,7,3,8]=>1111000=>120
[5,3,6,1,4,7,8,2]=>1110000=>112
[5,3,6,2,4,7,1,8]=>1110000=>112
[6,4,2,1,7,3,8,5]=>1111100=>124
[4,3,7,5,8,6,1,2]=>1010110=>86
[4,2,7,1,8,3,6,5]=>1110100=>116
[3,2,6,7,4,8,1,5]=>1101000=>104
[3,1,6,7,4,8,5,2]=>1101100=>108
[1,7,6,5,3,8,4,2]=>0111110=>62
[2,7,6,5,3,8,1,4]=>1010110=>86
[1,7,6,5,2,4,8,3]=>0110110=>54
[2,7,6,5,3,1,4,8]=>1010110=>86
[2,7,1,4,8,3,5,6]=>1010000=>80
[3,7,6,4,8,5,1,2]=>1001110=>78
[5,7,6,3,8,4,1,2]=>1011010=>90
[5,1,6,2,4,8,3,7]=>1110000=>112
[4,7,6,5,2,1,3,8]=>1100110=>102
[4,7,6,5,2,8,1,3]=>1100110=>102
[4,7,6,5,1,8,3,2]=>1110110=>118
[1,7,6,5,2,8,3,4]=>0110110=>54
[1,7,6,5,3,2,8,4]=>0111110=>62
[4,7,6,5,1,2,8,3]=>1010110=>86
[4,7,6,5,3,1,8,2]=>1110110=>118
[6,1,3,5,4,8,7,2]=>1101001=>105
[5,2,6,3,4,1,7,8]=>1110000=>112
[5,1,6,2,4,7,8,3]=>1110000=>112
[1,2,6,3,4,8,7,5]=>0010101=>21
[1,7,2,4,8,3,6,5]=>0110100=>52
[6,1,4,2,8,3,5,7]=>1110000=>112
[4,1,8,2,6,3,5,7]=>1110000=>112
[4,7,2,1,5,3,6,8]=>1110000=>112
[4,7,1,6,2,3,8,5]=>1100100=>100
[1,7,2,6,8,3,5,4]=>0111000=>56
[1,2,6,7,4,8,5,3]=>0011100=>28
[3,1,6,7,4,2,8,5]=>1101100=>108
[3,2,8,5,4,6,1,7]=>1101100=>108
[4,7,6,3,5,8,1,2]=>1010010=>82
[4,7,1,2,5,3,8,6]=>1010010=>82
[3,7,6,5,2,4,1,8]=>1100110=>102
[3,7,6,5,1,4,8,2]=>1100110=>102
[3,7,6,5,2,1,8,4]=>1101110=>110
[1,7,6,5,8,2,4,3]=>0110110=>54
[3,7,6,5,8,1,4,2]=>1100110=>102
[3,7,6,5,1,2,4,8]=>1000110=>70
[3,1,6,8,4,2,5,7]=>1101000=>104
[4,7,6,8,3,5,1,2]=>1010010=>82
[2,7,6,5,1,4,3,8]=>1010110=>86
[2,7,6,5,8,1,3,4]=>1000110=>70
[2,7,6,5,8,4,1,3]=>1001110=>78
[6,3,2,1,7,4,8,5]=>1111100=>124
[4,2,1,7,3,5,8,6]=>1110010=>114
[7,3,1,5,4,2,8,6]=>1111010=>122
[8,4,1,5,2,7,6,3]=>1111010=>122
[8,2,5,1,3,7,6,4]=>1101010=>106
[4,3,7,2,1,5,8,6]=>1110010=>114
[6,3,7,4,2,1,8,5]=>1111100=>124
[4,7,2,5,3,1,8,6]=>1110010=>114
[2,7,5,4,1,3,8,6]=>1001110=>78
[7,5,4,3,2,1,8,6]=>1111110=>126
[8,5,3,2,1,7,6,4]=>1111110=>126
[6,5,2,1,8,4,3,7]=>1111100=>124
[4,6,3,2,8,1,5,7]=>1110000=>112
[5,7,4,3,2,8,1,6]=>1111000=>120
[1,7,6,2,4,8,3,5]=>0110010=>50
[2,7,3,6,4,8,1,5]=>1011000=>88
[6,2,7,5,3,8,1,4]=>1110100=>116
[7,1,8,5,3,6,4,2]=>1111100=>124
[5,8,1,6,2,7,4,3]=>1111000=>120
[1,8,6,2,3,7,5,4]=>0101110=>46
[1,8,6,3,2,7,5,4]=>0111110=>62
[5,8,3,2,7,1,6,4]=>1111000=>120
[8,7,3,1,6,5,4,2]=>1111101=>125
[8,7,2,6,1,5,4,3]=>1111001=>121
[1,8,5,7,4,3,6,2]=>0111100=>60
[1,8,5,7,2,4,6,3]=>0110100=>52
[3,8,6,1,7,2,5,4]=>1101010=>106
[5,8,4,6,7,1,3,2]=>1101000=>104
[7,2,8,5,6,1,4,3]=>1110100=>116
[6,3,7,5,8,2,1,4]=>1110100=>116
[3,7,2,6,8,4,1,5]=>1101000=>104
[3,6,5,8,1,4,2,7]=>1100100=>100
[2,6,5,8,4,1,3,7]=>1001100=>76
[6,5,4,8,3,2,1,7]=>1111100=>124
[8,4,3,7,2,1,6,5]=>1111100=>124
[8,2,4,7,1,3,6,5]=>1100100=>100
[6,2,5,8,1,4,3,7]=>1110000=>112
[4,3,6,8,2,1,5,7]=>1110000=>112
[6,3,5,1,8,4,2,7]=>1111000=>120
[8,4,1,5,7,3,6,2]=>1111000=>120
[6,4,2,5,8,3,1,7]=>1111000=>120
[5,4,1,6,8,2,3,7]=>1101000=>104
[6,5,2,1,7,8,3,4]=>1110100=>116
[6,3,7,4,8,5,2,1]=>1111100=>124
[4,7,2,5,8,6,3,1]=>1110010=>114
[6,3,1,8,4,7,5,2]=>1111100=>124
[6,4,2,8,7,3,5,1]=>1111001=>121
[6,5,3,8,7,4,1,2]=>1011101=>93
[8,5,3,7,6,4,2,1]=>1111110=>126
[5,4,8,1,7,6,2,3]=>1101010=>106
[5,2,8,1,7,3,6,4]=>1111000=>120
[6,4,8,2,1,7,5,3]=>1111100=>124
[3,6,8,1,4,7,5,2]=>1100100=>100
[5,7,3,8,1,6,4,2]=>1111000=>120
[6,4,7,8,1,5,3,2]=>1111000=>120
[6,3,7,8,5,2,4,1]=>1110100=>116
[2,5,8,7,1,3,6,4]=>1001001=>73
[5,3,8,7,2,1,6,4]=>1111001=>121
[8,3,7,6,1,5,4,2]=>1111010=>122
[8,2,7,6,5,1,4,3]=>1110110=>118
[4,3,8,7,6,2,1,5]=>1110011=>115
[2,4,8,7,6,1,3,5]=>1000011=>67
[3,5,8,7,2,6,1,4]=>1100001=>97
[4,7,3,8,6,5,1,2]=>1010110=>86
[7,5,8,6,4,3,2,1]=>1111110=>126
[5,8,7,3,6,4,2,1]=>1111001=>121
[4,8,7,6,2,5,3,1]=>1110011=>115
[3,8,7,6,5,1,4,2]=>1100111=>103
[2,8,7,6,5,4,1,3]=>1001111=>79
[3,4,1,2,5,6,7,8,9]=>10000000=>128
[3,2,1,4,5,6,7,8,9]=>11000000=>192
[4,5,6,1,2,3,7,8,9]=>10000000=>128
[4,2,5,1,3,6,7,8,9]=>11000000=>192
[4,3,2,1,5,6,7,8,9]=>11100000=>224
[5,6,7,8,1,2,3,4,9]=>10000000=>128
[5,2,6,7,1,3,4,8,9]=>11000000=>192
[5,6,3,4,1,2,7,8,9]=>10100000=>160
[5,3,2,6,1,4,7,8,9]=>11100000=>224
[5,4,3,2,1,6,7,8,9]=>11110000=>240
[6,2,7,8,9,1,3,4,5]=>11000000=>192
[6,7,3,4,8,1,2,5,9]=>10100000=>160
[6,3,2,7,8,1,4,5,9]=>11100000=>224
[6,4,7,2,5,1,3,8,9]=>11010000=>208
[6,4,3,2,7,1,5,8,9]=>11110000=>240
[6,5,4,3,2,1,7,8,9]=>11111000=>248
[7,4,8,2,5,9,1,3,6]=>11010000=>208
[7,4,3,2,8,9,1,5,6]=>11110000=>240
[7,8,5,6,3,4,1,2,9]=>10101000=>168
[7,5,3,8,2,6,1,4,9]=>11101000=>232
[7,5,4,3,2,8,1,6,9]=>11111000=>248
[7,6,5,4,3,2,1,8,9]=>11111100=>252
[8,6,9,4,7,2,5,1,3]=>11010100=>212
[8,6,4,3,9,2,7,1,5]=>11110100=>244
[8,6,5,4,3,2,9,1,7]=>11111100=>252
[3,4,1,2,5,6,7,8,9,10]=>100000000=>256
[3,2,1,4,5,6,7,8,9,10]=>110000000=>384
[4,5,6,1,2,3,7,8,9,10]=>100000000=>256
[4,2,5,1,3,6,7,8,9,10]=>110000000=>384
[4,3,2,1,5,6,7,8,9,10]=>111000000=>448
[5,6,7,8,1,2,3,4,9,10]=>100000000=>256
[5,2,6,7,1,3,4,8,9,10]=>110000000=>384
[5,6,3,4,1,2,7,8,9,10]=>101000000=>320
[5,3,2,6,1,4,7,8,9,10]=>111000000=>448
[5,4,3,2,1,6,7,8,9,10]=>111100000=>480
[6,2,7,8,9,1,3,4,5,10]=>110000000=>384
[6,7,3,4,8,1,2,5,9,10]=>101000000=>320
[6,3,2,7,8,1,4,5,9,10]=>111000000=>448
[6,4,7,2,5,1,3,8,9,10]=>110100000=>416
[6,4,3,2,7,1,5,8,9,10]=>111100000=>480
[6,5,4,3,2,1,7,8,9,10]=>111110000=>496
[7,8,3,4,9,10,1,2,5,6]=>101000000=>320
[7,8,9,4,5,6,1,2,3,10]=>100100000=>288
[7,4,3,2,8,9,1,5,6,10]=>111100000=>480
[7,8,5,6,3,4,1,2,9,10]=>101010000=>336
[7,5,3,8,2,6,1,4,9,10]=>111010000=>464
[7,5,4,3,2,8,1,6,9,10]=>111110000=>496
[7,6,5,4,3,2,1,8,9,10]=>111111000=>504
[8,5,9,10,2,6,7,1,3,4]=>110010000=>400
[8,5,3,9,2,6,10,1,4,7]=>111010000=>464
[8,6,9,4,7,2,5,1,3,10]=>110101000=>424
[8,6,4,3,9,2,7,1,5,10]=>111101000=>488
[8,6,5,4,3,2,9,1,7,10]=>111111000=>504
[8,7,6,5,4,3,2,1,9,10]=>111111100=>508
[9,7,5,4,3,10,2,8,1,6]=>111110100=>500
[3,6,5,1,2,4,8,7]=>1000101=>69
[3,7,5,8,2,4,1,6]=>1100100=>100
[3,8,5,7,2,4,1,6]=>1100100=>100
[5,1,7,8,4,3,2,6]=>1111000=>120
[5,1,2,6,4,3,8,7]=>1011001=>89
[6,1,2,5,4,3,8,7]=>1011001=>89
[5,1,2,4,6,3,8,7]=>1010001=>81
[4,1,2,6,5,3,8,7]=>1010101=>85
[4,1,5,7,8,3,2,6]=>1110000=>112
[4,1,5,8,7,3,2,6]=>1110001=>113
[4,7,1,8,3,6,2,5]=>1110000=>112
[4,1,7,8,5,2,3,6]=>1100100=>100
[5,1,7,4,8,2,3,6]=>1101000=>104
[7,5,3,8,1,4,2,6]=>1110100=>116
[2,1,5,8,7,3,4,6]=>1010001=>81
[5,1,8,4,7,2,3,6]=>1101000=>104
[4,1,8,7,5,2,3,6]=>1100101=>101
[4,7,1,6,3,2,8,5]=>1110100=>116
[6,1,2,3,7,5,8,4]=>1001100=>76
[7,1,2,3,8,6,5,4]=>1001110=>78
[7,1,2,3,5,8,6,4]=>1001010=>74
[6,8,1,4,3,7,2,5]=>1110000=>112
[8,7,3,2,4,1,6,5]=>1110101=>117
[2,1,7,3,4,8,6,5]=>1010110=>86
[7,8,3,2,4,1,6,5]=>1110100=>116
[6,7,1,4,3,8,2,5]=>1110000=>112
[8,1,2,3,5,7,6,4]=>1001010=>74
[8,1,2,3,6,7,5,4]=>1001100=>76
[7,1,2,3,6,8,5,4]=>1001100=>76
[7,1,2,3,8,5,6,4]=>1001100=>76
[8,1,2,3,7,5,6,4]=>1001100=>76
[8,1,2,3,6,5,7,4]=>1001100=>76
[7,1,8,5,4,3,2,6]=>1111100=>124
[7,8,2,6,3,4,1,5]=>1110000=>112
[6,8,2,7,3,4,1,5]=>1110000=>112
[6,7,2,8,3,4,1,5]=>1110000=>112
[3,8,7,1,4,2,6,5]=>1100101=>101
[3,7,8,1,4,2,6,5]=>1100100=>100
[3,6,8,1,4,2,7,5]=>1100100=>100
[3,5,7,8,2,4,1,6]=>1100000=>96
[3,6,7,1,4,2,8,5]=>1100100=>100
[7,6,2,8,3,1,4,5]=>1110010=>114
[8,6,2,7,3,1,4,5]=>1110010=>114
[8,1,7,5,4,3,2,6]=>1111100=>124
[8,1,7,4,5,3,2,6]=>1111000=>120
[5,8,3,7,1,4,2,6]=>1110000=>112
[2,1,7,3,4,6,8,5]=>1010100=>84
[6,7,3,2,4,1,8,5]=>1110100=>116
[8,7,2,4,3,6,1,5]=>1110001=>113
[7,1,2,3,5,6,8,4]=>1001000=>72
[6,1,2,3,8,7,4,5]=>1001001=>73
[5,1,2,3,7,8,6,4]=>1001010=>74
[5,1,2,3,8,7,6,4]=>1001011=>75
[5,1,2,3,8,6,7,4]=>1001010=>74
[6,1,2,3,5,8,7,4]=>1001001=>73
[8,6,2,4,3,1,7,5]=>1110110=>118
[7,6,3,2,4,8,1,5]=>1110010=>114
[2,1,6,3,4,8,7,5]=>1010101=>85
[8,6,3,2,4,7,1,5]=>1110010=>114
[7,6,2,4,3,1,8,5]=>1110110=>118
[6,1,2,3,5,7,8,4]=>1001000=>72
[5,1,2,3,6,8,7,4]=>1001001=>73
[7,8,1,2,6,3,5,4]=>1011000=>88
[1,4,8,2,7,3,5,6]=>0110000=>48
[1,2,8,5,4,7,3,6]=>0011100=>28
[1,3,8,5,4,2,7,6]=>0101110=>46
[2,3,6,8,4,7,1,5]=>1001000=>72
[1,3,6,8,4,7,5,2]=>0101100=>44
[2,4,8,1,7,3,6,5]=>1010100=>84
[3,4,8,5,7,6,1,2]=>1000110=>70
[1,2,6,8,4,5,7,3]=>0011000=>24
[7,5,1,2,4,3,6,8]=>1010100=>84
[7,4,6,1,5,2,3,8]=>1101000=>104
[7,1,4,2,6,3,5,8]=>1110000=>112
[6,8,1,4,7,2,3,5]=>1100000=>96
[1,6,4,2,8,3,5,7]=>0111000=>56
[1,6,3,8,5,4,2,7]=>0111100=>60
[6,8,1,7,3,5,4,2]=>1111000=>120
[7,1,3,6,5,4,2,8]=>1101100=>108
[7,3,1,6,5,4,2,8]=>1111100=>124
[7,2,1,4,6,3,5,8]=>1110000=>112
[7,2,3,6,5,1,4,8]=>1100100=>100
[7,1,2,3,6,5,4,8]=>1001100=>76
[6,8,1,2,7,3,5,4]=>1011000=>88
[1,6,2,3,8,5,4,7]=>0101100=>44
[1,5,8,2,7,6,3,4]=>0110010=>50
[5,1,8,2,7,6,3,4]=>1110010=>114
[5,8,2,7,6,3,4,1]=>1110010=>114
[6,2,8,1,7,3,5,4]=>1111000=>120
[6,8,2,1,7,4,3,5]=>1111000=>120
[3,6,4,1,2,8,5,7]=>1001100=>76
[2,1,6,3,8,5,4,7]=>1011100=>92
[2,5,1,8,7,6,3,4]=>1010011=>83
[2,5,3,8,7,4,6,1]=>1011001=>89
[1,2,5,3,8,7,4,6]=>0011001=>25
[2,4,8,7,6,5,1,3]=>1000111=>71
[2,5,3,8,7,1,6,4]=>1011001=>89
[2,5,8,4,1,7,6,3]=>1011010=>90
[3,5,8,7,1,4,2,6]=>1100001=>97
[5,3,8,4,1,7,6,2]=>1111010=>122
[4,2,8,7,6,3,5,1]=>1110011=>115
[4,2,8,7,6,5,3,1]=>1110111=>119
[4,1,8,7,6,5,3,2]=>1110111=>119
[4,3,8,7,6,5,1,2]=>1010111=>87
[6,3,1,8,7,2,5,4]=>1111001=>121
[5,8,3,7,6,1,4,2]=>1110010=>114
[5,1,3,8,7,6,2,4]=>1100011=>99
[1,5,3,8,7,6,2,4]=>0110011=>51
[1,5,8,4,7,2,6,3]=>0111000=>56
[5,1,8,4,7,2,6,3]=>1111000=>120
[5,8,7,4,6,1,2,3]=>1001001=>73
[6,8,5,1,2,4,7,3]=>1010100=>84
[5,6,3,1,2,4,8,7]=>1010001=>81
[5,6,2,4,3,1,8,7]=>1110001=>113
[5,6,1,2,4,3,8,7]=>1010001=>81
[4,5,8,1,7,2,3,6]=>1100000=>96
[4,5,8,1,7,2,6,3]=>1110000=>112
[1,3,2,5,8,7,4,6]=>0101001=>41
[3,5,1,8,7,4,6,2]=>1101001=>105
[3,5,1,8,7,2,6,4]=>1101001=>105
[4,3,6,1,2,8,5,7]=>1010100=>84
[4,5,8,3,1,7,2,6]=>1110000=>112
[4,5,2,8,7,1,3,6]=>1100001=>97
[3,2,5,8,7,1,6,4]=>1101001=>105
[3,4,8,7,6,2,1,5]=>1100011=>99
[3,1,4,8,7,6,2,5]=>1100011=>99
[3,4,8,7,6,5,1,2]=>1000111=>71
[1,3,4,8,7,6,2,5]=>0100011=>35
[3,4,8,7,6,2,5,1]=>1100011=>99
[3,2,5,8,7,4,6,1]=>1101001=>105
[4,5,8,3,1,7,6,2]=>1110010=>114
[2,1,3,5,8,7,4,6]=>1001001=>73
[1,2,7,5,8,6,4,3]=>0011110=>30
[7,1,4,8,2,6,5,3]=>1110100=>116
[6,8,1,3,7,5,2,4]=>1100100=>100
[3,7,8,1,2,6,5,4]=>1001100=>76
[1,3,7,8,2,6,5,4]=>0101100=>44
[2,3,7,8,1,6,5,4]=>1001100=>76
[2,7,8,1,3,6,5,4]=>1001100=>76
[8,1,2,6,7,3,5,4]=>1011000=>88
[8,1,2,6,7,5,3,4]=>1010100=>84
[8,2,5,7,1,3,6,4]=>1101000=>104
[2,8,1,6,7,3,5,4]=>1011000=>88
[2,6,8,3,7,1,5,4]=>1011000=>88
[2,8,6,4,7,1,5,3]=>1011010=>90
[6,8,3,4,1,7,5,2]=>1110100=>116
[6,8,3,7,4,1,5,2]=>1111000=>120
[2,6,8,3,7,5,1,4]=>1010100=>84
[2,8,1,6,7,5,3,4]=>1010100=>84
[8,2,5,7,1,6,3,4]=>1110000=>112
[8,4,7,2,3,6,1,5]=>1101000=>104
[8,5,7,4,2,6,1,3]=>1101100=>108
[8,3,5,7,4,1,6,2]=>1111000=>120
[8,5,2,4,7,1,6,3]=>1110100=>116
[8,2,3,5,7,1,6,4]=>1101000=>104
[8,2,4,7,3,6,1,5]=>1110000=>112
[8,2,7,1,4,6,3,5]=>1110000=>112
[8,7,1,2,4,6,3,5]=>1010001=>81
[8,7,1,4,6,2,3,5]=>1100001=>97
[8,4,7,1,3,6,2,5]=>1101000=>104
[1,6,8,3,7,2,5,4]=>0111000=>56
[8,3,5,7,1,2,6,4]=>1011000=>88
[5,8,7,1,3,6,2,4]=>1100001=>97
[8,5,4,7,1,6,2,3]=>1101100=>108
[8,5,4,7,1,2,6,3]=>1011100=>92
[8,5,1,4,7,2,6,3]=>1110100=>116
[1,4,6,8,2,7,5,3]=>0110100=>52
[1,6,5,8,2,7,4,3]=>0111100=>60
[8,5,6,3,1,7,4,2]=>1111100=>124
[5,6,2,8,1,7,4,3]=>1111000=>120
[1,8,4,5,7,2,6,3]=>0111000=>56
[5,8,7,3,6,1,2,4]=>1010001=>81
[8,3,5,7,1,6,2,4]=>1110000=>112
[1,6,8,3,7,5,2,4]=>0110100=>52
[6,3,8,2,7,5,1,4]=>1110100=>116
[6,8,4,2,7,1,5,3]=>1111000=>120
[8,6,4,7,3,1,5,2]=>1111010=>122
[8,4,5,7,3,1,6,2]=>1111000=>120
[8,4,2,5,7,1,6,3]=>1111000=>120
[8,3,4,7,2,6,1,5]=>1110000=>112
[8,7,1,3,4,6,2,5]=>1100001=>97
[8,3,7,2,4,6,1,5]=>1110000=>112
[2,8,4,5,7,1,6,3]=>1011000=>88
[8,7,3,4,5,1,6,2]=>1110001=>113
[8,7,4,5,2,6,1,3]=>1101001=>105
[5,8,7,2,3,6,1,4]=>1100001=>97
[8,7,2,3,4,6,1,5]=>1100001=>97
[8,7,2,3,6,1,4,5]=>1100001=>97
[1,3,2,8,5,4,7,6]=>0101110=>46
[4,2,8,5,3,7,1,6]=>1110100=>116
[5,2,1,8,4,3,7,6]=>1111010=>122
[6,2,8,4,3,7,5,1]=>1111100=>124
[7,2,8,4,3,1,6,5]=>1111100=>124
[7,3,4,8,2,1,6,5]=>1110100=>116
[6,3,4,8,2,7,5,1]=>1110100=>116
[5,3,4,1,8,2,7,6]=>1110010=>114
[8,1,4,5,2,3,7,6]=>1100010=>98
[8,1,5,4,3,2,7,6]=>1111010=>122
[3,5,4,2,8,1,7,6]=>1101010=>106
[4,5,3,2,8,7,1,6]=>1110001=>113
[6,4,3,2,8,7,5,1]=>1111101=>125
[6,5,3,2,1,7,8,4]=>1111100=>124
[5,6,3,2,7,8,4,1]=>1111000=>120
[4,1,6,3,2,7,8,5]=>1110100=>116
[3,6,4,2,7,8,1,5]=>1101000=>104
[8,1,6,4,3,7,2,5]=>1111000=>120
[8,1,7,4,3,6,5,2]=>1111100=>124
[2,7,4,1,3,6,5,8]=>1001100=>76
[3,7,4,2,6,1,5,8]=>1101000=>104
[4,1,7,3,2,6,5,8]=>1110100=>116
[5,7,3,2,6,4,8,1]=>1111000=>120
[6,7,3,2,5,4,1,8]=>1111000=>120
[7,6,3,2,1,5,4,8]=>1111010=>122
[4,7,5,6,2,3,8,1]=>1100100=>100
[3,1,7,5,6,2,4,8]=>1100100=>100
[2,7,5,6,1,3,4,8]=>1000100=>68
[2,6,5,7,1,3,8,4]=>1001100=>76
[4,6,5,7,2,8,1,3]=>1100100=>100
[5,6,4,7,2,8,3,1]=>1111000=>120
[6,5,4,1,7,2,8,3]=>1111100=>124
[7,5,4,6,2,1,8,3]=>1111100=>124
[6,4,5,7,1,8,2,3]=>1101000=>104
[5,4,6,1,7,8,2,3]=>1101000=>104
[8,1,5,6,7,2,3,4]=>1100000=>96
[2,1,4,6,8,7,3,5]=>1010001=>81
[3,4,6,8,7,1,2,5]=>1000001=>65
[4,3,1,6,8,7,2,5]=>1110001=>113
[5,3,6,8,7,2,4,1]=>1110001=>113
[6,3,5,1,8,7,2,4]=>1110001=>113
[7,3,5,8,6,2,1,4]=>1110010=>114
[7,2,8,5,6,3,1,4]=>1110100=>116
[6,2,8,5,1,7,3,4]=>1110100=>116
[4,2,1,8,6,7,3,5]=>1110010=>114
[1,3,2,8,6,7,4,5]=>0101010=>42
[2,3,8,6,7,1,4,5]=>1000010=>66
[8,1,3,2,6,7,4,5]=>1101000=>104
[2,3,8,7,1,6,5,4]=>1001101=>77
[4,2,8,7,6,1,5,3]=>1110011=>115
[5,2,8,7,6,4,1,3]=>1101011=>107
[7,2,1,8,6,5,4,3]=>1111110=>126
[7,3,6,1,8,5,4,2]=>1111100=>124
[6,3,7,8,5,4,2,1]=>1111100=>124
[5,3,7,8,6,4,1,2]=>1011010=>90
[4,3,1,7,8,6,5,2]=>1110110=>118
[3,4,7,8,6,1,5,2]=>1100010=>98
[8,1,5,7,6,2,4,3]=>1110010=>114
[3,5,7,6,8,1,4,2]=>1100010=>98
[4,5,7,6,8,3,1,2]=>1010010=>82
[5,4,1,7,6,8,3,2]=>1111010=>122
[6,4,7,5,8,3,2,1]=>1111100=>124
[7,4,6,5,1,8,3,2]=>1111100=>124
[7,5,6,4,3,1,8,2]=>1111100=>124
[6,5,1,7,4,3,8,2]=>1111100=>124
[4,6,7,5,3,8,1,2]=>1010100=>84
[3,6,7,5,1,4,8,2]=>1100100=>100
[8,1,6,7,5,4,2,3]=>1101100=>108
[8,1,7,6,5,4,3,2]=>1111110=>126
[2,7,6,1,5,4,3,8]=>1011010=>90
[3,7,6,5,1,4,2,8]=>1100110=>102
[4,7,6,5,3,1,2,8]=>1010110=>86
[8,6,4,3,1,5,7,2]=>1111010=>122
[8,6,4,1,5,2,7,3]=>1111010=>122
[8,6,5,1,3,2,7,4]=>1101110=>110
[8,6,3,1,7,2,4,5]=>1110010=>114
[8,7,3,1,5,2,4,6]=>1110001=>113
[5,3,1,7,2,4,6,8]=>1110000=>112
[8,7,1,2,4,5,3,6]=>1010001=>81
[8,6,1,2,4,7,3,5]=>1010010=>82
[8,5,1,2,6,7,3,4]=>1010100=>84
[8,5,1,6,4,2,7,3]=>1111100=>124
[8,5,1,3,6,4,7,2]=>1101100=>108
[8,6,1,5,3,4,7,2]=>1110010=>114
[8,6,1,5,2,4,7,3]=>1110010=>114
[8,6,1,2,5,7,3,4]=>1010010=>82
[8,6,1,2,7,4,3,5]=>1011010=>90
[8,7,1,2,5,4,3,6]=>1011001=>89
[5,1,4,2,3,8,6,7]=>1100010=>98
[5,1,4,2,7,3,6,8]=>1110000=>112
[7,1,5,8,2,6,3,4]=>1110000=>112
[5,7,8,1,2,4,6,3]=>1010000=>80
[5,7,8,1,3,4,6,2]=>1100000=>96
[5,8,1,7,3,4,6,2]=>1110000=>112
[8,1,5,7,2,4,6,3]=>1110000=>112
[8,4,1,2,7,6,3,5]=>1011010=>90
[1,4,2,3,8,7,5,6]=>0100101=>37
[1,4,2,7,6,3,5,8]=>0110010=>50
[6,1,2,8,7,5,3,4]=>1010101=>85
[6,1,2,4,8,7,5,3]=>1010101=>85
[3,1,8,4,6,7,5,2]=>1101100=>108
[3,1,7,6,4,8,5,2]=>1101110=>110
[7,1,2,4,6,8,5,3]=>1010100=>84
[7,1,2,6,8,5,3,4]=>1010100=>84
[6,1,2,7,8,5,3,4]=>1010100=>84
[6,1,2,7,4,8,5,3]=>1011100=>92
[3,1,6,4,7,8,5,2]=>1101100=>108
[5,7,1,3,8,4,6,2]=>1101000=>104
[5,7,1,8,4,2,6,3]=>1111000=>120
[7,1,5,3,2,8,6,4]=>1111010=>122
[7,1,4,5,2,8,6,3]=>1110010=>114
[4,7,3,1,5,8,6,2]=>1110010=>114
[4,8,7,3,1,5,6,2]=>1110001=>113
[8,1,7,4,5,2,6,3]=>1111000=>120
[8,1,7,5,3,2,6,4]=>1111100=>124
[8,3,7,1,2,6,4,5]=>1011000=>88
[3,1,2,8,4,7,5,6]=>1001100=>76
[3,1,2,8,6,4,5,7]=>1001010=>74
[3,1,7,2,6,4,5,8]=>1101000=>104
[1,4,2,3,8,6,5,7]=>0100110=>38
[1,4,2,3,8,5,7,6]=>0100110=>38
[5,8,1,7,2,4,6,3]=>1110000=>112
[5,8,1,3,4,7,6,2]=>1100010=>98
[3,1,8,6,4,7,5,2]=>1101110=>110
[8,1,2,6,7,4,5,3]=>1011000=>88
[6,1,2,8,7,3,5,4]=>1011001=>89
[1,2,3,5,8,4,7,6]=>0001010=>10
[1,2,3,5,8,6,4,7]=>0001010=>10
[7,1,2,8,3,6,5,4]=>1011100=>92
[7,1,2,8,6,4,5,3]=>1011010=>90
[3,1,7,8,4,6,5,2]=>1101100=>108
[3,1,8,7,6,4,5,2]=>1101011=>107
[8,1,2,7,4,6,5,3]=>1011100=>92
[8,1,2,7,3,6,5,4]=>1011100=>92
[1,2,3,5,8,7,4,6]=>0001001=>9
[1,2,3,6,8,5,4,7]=>0001100=>12
[7,8,5,6,3,1,4,2]=>1110100=>116
[7,8,5,3,6,1,2,4]=>1010100=>84
[7,5,6,3,1,4,2,8]=>1110100=>116
[7,5,8,3,1,4,2,6]=>1110100=>116
[7,8,5,3,1,4,2,6]=>1110100=>116
[7,8,5,3,1,6,2,4]=>1110100=>116
[7,8,5,3,1,6,4,2]=>1111100=>124
[7,8,5,3,6,1,4,2]=>1110100=>116
[7,8,5,3,6,4,1,2]=>1011100=>92
[7,8,5,3,4,1,6,2]=>1110100=>116
[7,8,5,3,1,4,6,2]=>1110100=>116
[7,8,5,3,1,2,6,4]=>1011100=>92
[7,5,3,8,1,2,6,4]=>1011100=>92
[7,5,8,3,4,1,6,2]=>1110100=>116
[7,5,8,3,4,6,1,2]=>1010100=>84
[7,5,6,3,4,1,8,2]=>1110100=>116
[7,5,6,3,1,4,8,2]=>1110100=>116
[7,5,6,3,1,2,8,4]=>1011100=>92
[7,5,3,6,1,2,8,4]=>1011100=>92
[7,5,3,4,1,2,8,6]=>1010110=>86
[7,5,3,1,4,2,6,8]=>1110100=>116
[7,5,3,1,4,2,8,6]=>1110110=>118
[7,5,3,1,6,2,8,4]=>1111100=>124
[7,5,3,1,6,4,8,2]=>1111100=>124
[7,5,3,6,1,4,8,2]=>1110100=>116
[7,5,3,6,4,1,8,2]=>1111100=>124
[7,5,3,6,4,8,1,2]=>1011100=>92
[7,5,3,8,4,6,1,2]=>1011100=>92
[7,5,3,8,1,4,6,2]=>1110100=>116
[7,5,3,1,8,4,6,2]=>1111100=>124
[7,5,3,1,8,2,6,4]=>1111100=>124
[7,5,3,1,8,2,4,6]=>1110100=>116
[7,5,3,1,6,2,4,8]=>1110100=>116
[7,5,3,1,6,4,2,8]=>1111100=>124
[7,5,3,1,8,4,2,6]=>1111100=>124
[7,5,3,1,8,6,2,4]=>1110110=>118
[7,5,3,8,1,6,4,2]=>1111100=>124
[7,5,3,8,6,1,4,2]=>1110110=>118
[7,5,3,8,6,4,1,2]=>1011110=>94
[7,5,8,3,6,4,1,2]=>1011100=>92
[7,5,8,3,6,1,4,2]=>1110100=>116
[7,5,8,3,1,6,4,2]=>1111100=>124
[7,5,8,3,1,6,2,4]=>1110100=>116
[7,5,3,6,1,4,2,8]=>1110100=>116
[7,5,3,6,4,1,2,8]=>1011100=>92
[7,5,3,8,4,1,2,6]=>1011100=>92
[7,5,8,6,3,1,2,4]=>1010110=>86
[7,5,8,6,3,1,4,2]=>1110110=>118
[7,5,8,6,3,4,1,2]=>1010110=>86
[7,5,6,8,3,1,4,2]=>1110100=>116
[7,5,6,3,8,1,2,4]=>1010100=>84
[7,5,3,4,1,6,2,8]=>1110100=>116
[7,5,3,4,1,8,2,6]=>1110100=>116
[7,5,6,3,1,8,2,4]=>1110100=>116
[7,5,6,3,1,8,4,2]=>1111100=>124
[7,5,6,3,8,1,4,2]=>1110100=>116
[7,5,6,3,8,4,1,2]=>1011100=>92
[7,5,3,6,8,4,1,2]=>1011100=>92
[7,5,3,6,8,1,4,2]=>1110100=>116
[7,5,3,6,1,8,4,2]=>1111100=>124
[7,5,3,1,6,8,4,2]=>1111100=>124
[7,5,3,1,6,8,2,4]=>1110100=>116
[7,5,3,1,4,8,2,6]=>1110100=>116
[7,5,3,1,4,6,2,8]=>1110100=>116
[7,5,3,1,2,6,4,8]=>1011100=>92
[7,5,3,1,2,8,4,6]=>1011100=>92
[7,5,3,1,2,8,6,4]=>1011110=>94
[7,5,3,1,4,8,6,2]=>1110110=>118
[7,5,3,4,1,8,6,2]=>1110110=>118
[7,5,3,4,8,1,6,2]=>1110100=>116
[7,5,3,4,8,6,1,2]=>1010110=>86
[7,5,3,4,6,1,8,2]=>1110100=>116
[7,5,3,4,1,6,8,2]=>1110100=>116
[7,5,3,1,4,6,8,2]=>1110100=>116
[7,5,3,1,2,6,8,4]=>1011100=>92
[7,5,3,1,2,4,8,6]=>1010110=>86
[3,6,2,5,4,1,8,7]=>1101001=>105
[3,5,2,8,4,7,6,1]=>1101010=>106
[5,4,7,3,2,8,6,1]=>1111010=>122
[5,4,8,3,2,7,6,1]=>1111010=>122
[6,4,5,3,2,1,8,7]=>1111001=>121
[5,3,2,6,4,1,8,7]=>1111001=>121
[4,5,8,3,2,7,6,1]=>1110010=>114
[4,7,6,3,8,5,2,1]=>1110110=>118
[4,8,6,3,7,5,2,1]=>1110110=>118
[4,8,5,3,2,7,6,1]=>1110110=>118
[5,8,4,3,2,7,6,1]=>1111010=>122
[5,3,2,8,4,7,6,1]=>1111010=>122
[2,1,5,8,4,7,6,3]=>1011010=>90
[5,3,2,7,4,8,6,1]=>1111010=>122
[5,7,4,3,2,8,6,1]=>1111010=>122
[4,7,5,3,2,8,6,1]=>1110110=>118
[4,7,8,3,6,5,2,1]=>1110100=>116
[4,6,8,3,7,5,2,1]=>1110100=>116
[7,6,4,3,8,5,2,1]=>1111110=>126
[7,3,2,6,8,5,4,1]=>1111100=>124
[2,1,8,6,7,5,4,3]=>1011110=>94
[8,3,2,6,7,5,4,1]=>1111100=>124
[8,6,4,3,7,5,2,1]=>1111110=>126
[8,5,7,6,4,3,2,1]=>1111110=>126
[8,4,5,3,2,7,6,1]=>1111010=>122
[8,4,7,3,6,5,2,1]=>1111100=>124
[8,4,6,3,7,5,2,1]=>1111100=>124
[7,4,6,3,8,5,2,1]=>1111100=>124
[3,7,2,6,8,5,4,1]=>1101100=>108
[3,8,2,6,7,5,4,1]=>1101100=>108
[3,8,2,5,4,7,6,1]=>1101010=>106
[3,7,2,8,6,5,4,1]=>1101110=>110
[3,6,2,8,7,5,4,1]=>1101101=>109
[6,4,7,3,8,5,2,1]=>1111100=>124
[6,4,8,3,7,5,2,1]=>1111100=>124
[7,4,8,3,6,5,2,1]=>1111100=>124
[7,4,5,3,2,8,6,1]=>1111010=>122
[7,5,4,3,2,8,6,1]=>1111110=>126
[7,3,2,5,4,8,6,1]=>1111010=>122
[2,1,7,5,4,8,6,3]=>1011110=>94
[7,3,2,8,6,5,4,1]=>1111110=>126
[7,8,4,3,6,5,2,1]=>1111100=>124
[6,8,5,7,4,3,2,1]=>1111100=>124
[6,8,4,3,7,5,2,1]=>1111100=>124
[6,3,2,8,7,5,4,1]=>1111101=>125
[6,3,2,7,8,5,4,1]=>1111100=>124
[6,7,4,3,8,5,2,1]=>1111100=>124
[2,3,1,4,5,6,7,8,9]=>10000000=>128
[2,3,4,1,5,6,7,8,9]=>10000000=>128
[2,3,4,5,1,6,7,8,9]=>10000000=>128
[2,3,4,5,6,1,7,8,9]=>10000000=>128
[2,3,1,4,5,6,7,8,9,10]=>100000000=>256
[2,4,3,1,5,6,7,8,9]=>10100000=>160
[2,3,4,1,5,6,7,8,9,10]=>100000000=>256
[2,3,5,4,1,6,7,8,9]=>10010000=>144
[2,3,4,5,1,6,7,8,9,10]=>100000000=>256
[2,3,4,6,5,1,7,8,9]=>10001000=>136
[2,3,4,5,6,1,7,8,9,10]=>100000000=>256
[2,3,4,5,7,6,1,8,9]=>10000100=>132
[2,3,4,5,6,7,1,8,9,10]=>100000000=>256
[2,3,4,5,6,8,7,1,9]=>10000010=>130
[2,3,4,5,6,7,8,1,9,10]=>100000000=>256
[2,3,4,5,6,7,9,8,1]=>10000001=>129
[4,6,8,3,5,7,1,2]=>1010000=>80
[6,8,1,2,4,5,7,3]=>1010000=>80
[3,5,8,2,4,7,1,6]=>1100000=>96
[8,3,5,2,4,1,6,7]=>1110000=>112
[4,2,5,7,3,6,1,8]=>1110000=>112
[4,5,2,8,3,1,6,7]=>1110000=>112
[4,2,5,8,3,7,1,6]=>1110000=>112
[2,1,6,8,4,7,3,5]=>1011000=>88
[1,2,5,8,3,6,7,4]=>0011000=>24
[5,3,6,8,4,7,1,2]=>1011000=>88
[1,6,5,8,2,4,7,3]=>0110100=>52
[3,1,2,6,8,5,7,4]=>1001100=>76
[1,4,3,8,2,6,7,5]=>0110100=>52
[5,4,8,3,2,1,6,7]=>1111000=>120
[5,4,3,7,2,6,1,8]=>1111000=>120
[4,3,6,2,7,5,1,8]=>1110100=>116
[4,6,3,2,1,8,5,7]=>1110100=>116
[4,1,7,3,2,5,8,6]=>1110010=>114
[4,3,1,7,8,2,6,5]=>1110100=>116
[3,5,1,2,7,8,6,4]=>1001010=>74
[7,5,1,4,8,2,6,3]=>1110100=>116
[5,4,7,3,8,6,1,2]=>1011010=>90
[5,8,4,7,6,3,1,2]=>1011010=>90
[5,8,7,1,4,2,6,3]=>1110001=>113
[8,3,5,1,2,7,6,4]=>1011010=>90
[4,8,3,1,7,2,6,5]=>1110100=>116
[1,8,4,3,5,2,7,6]=>0111010=>58
[4,6,3,1,5,2,8,7]=>1110001=>113
[4,7,3,6,5,2,1,8]=>1110100=>116
[5,3,7,6,4,2,1,8]=>1111010=>122
[1,6,3,4,2,8,7,5]=>0110101=>53
[1,8,3,6,2,7,5,4]=>0111100=>60
[1,6,8,7,4,2,5,3]=>0111001=>57
[6,4,8,7,5,3,1,2]=>1011101=>93
[7,6,4,3,8,5,1,2]=>1011110=>94
[1,7,6,2,8,4,5,3]=>0111010=>58
[7,1,3,2,6,8,5,4]=>1101100=>108
[1,5,3,2,7,4,8,6]=>0111010=>58
[6,3,2,1,8,5,4,7]=>1111100=>124
[6,5,3,2,7,4,1,8]=>1111100=>124
[5,2,6,3,7,4,1,8]=>1111000=>120
[2,8,5,3,1,6,4,7]=>1011100=>92
[2,1,7,3,8,5,4,6]=>1011100=>92
[1,6,2,3,7,8,5,4]=>0101100=>44
[1,6,7,2,8,4,5,3]=>0111000=>56
[5,7,1,8,2,4,6,3]=>1110000=>112
[5,1,2,7,8,3,6,4]=>1011000=>88
[2,4,1,7,8,6,3,5]=>1010010=>82
[4,2,1,7,3,8,5,6]=>1110100=>116
[6,2,8,4,3,1,5,7]=>1111000=>120
[7,3,2,1,8,4,5,6]=>1111000=>120
[7,8,3,2,5,6,1,4]=>1110000=>112
[7,1,8,2,4,5,6,3]=>1110000=>112
[8,7,6,1,2,4,5,3]=>1010011=>83
[8,3,7,6,2,1,4,5]=>1110010=>114
[3,2,8,7,5,1,4,6]=>1100101=>101
[8,3,6,5,2,1,4,7]=>1110100=>116
[7,6,3,5,2,4,1,8]=>1110010=>114
[7,4,6,2,5,3,1,8]=>1111000=>120
[8,2,4,1,6,5,3,7]=>1110100=>116
[4,2,8,1,7,5,3,6]=>1110100=>116
[8,2,4,1,7,6,3,5]=>1110010=>114
[8,7,1,5,6,2,4,3]=>1110001=>113
[8,5,7,3,6,4,1,2]=>1011100=>92
[6,8,3,7,5,4,1,2]=>1011100=>92
[8,1,6,7,5,2,4,3]=>1110100=>116
[8,1,2,6,4,3,7,5]=>1011100=>92
[2,8,1,7,5,4,3,6]=>1011100=>92
[2,5,1,8,6,4,3,7]=>1011010=>90
[5,7,2,6,4,3,1,8]=>1111000=>120
[6,2,7,5,4,3,1,8]=>1111100=>124
[2,1,8,6,5,4,3,7]=>1011110=>94
[1,2,7,5,4,3,8,6]=>0011110=>30
[1,7,2,4,3,8,6,5]=>0110110=>54
[1,7,2,8,3,6,5,4]=>0111100=>60
[1,7,8,6,5,2,4,3]=>0110110=>54
[7,3,8,6,5,4,1,2]=>1011110=>94
[1,8,7,6,5,2,4,3]=>0110111=>55
[8,1,7,3,2,6,5,4]=>1111100=>124
[5,1,4,3,2,8,7,6]=>1110011=>115
[8,6,5,3,2,1,7,4]=>1111110=>126
[8,6,3,2,1,7,4,5]=>1111010=>122
[8,6,5,4,1,7,2,3]=>1101110=>110
[8,6,5,1,7,3,2,4]=>1110110=>118
[8,6,1,7,4,3,2,5]=>1111010=>122
[4,6,3,2,7,5,1,8]=>1110100=>116
[1,4,3,7,2,5,8,6]=>0110010=>50
[7,4,8,3,1,6,2,5]=>1111000=>120
[7,1,5,8,3,2,6,4]=>1111000=>120
[5,7,4,1,8,2,6,3]=>1111000=>120
[5,7,4,3,1,8,6,2]=>1111010=>122
[1,8,7,2,5,4,6,3]=>0111001=>57
[1,8,5,3,7,2,6,4]=>0111100=>60
[4,3,1,8,7,5,2,6]=>1110101=>117
[1,4,8,6,3,5,2,7]=>0110010=>50
[7,4,6,3,5,2,1,8]=>1111000=>120
[1,3,5,6,8,4,2,7]=>0101000=>40
[3,5,4,8,7,1,2,6]=>1001001=>73
[3,1,4,6,8,7,2,5]=>1100001=>97
[1,6,3,8,7,2,5,4]=>0111001=>57
[1,6,2,4,8,7,5,3]=>0110101=>53
[8,4,1,6,7,5,3,2]=>1111100=>124
[7,1,6,4,8,5,2,3]=>1101100=>108
[7,3,6,8,5,1,2,4]=>1010100=>84
[1,3,7,2,6,8,4,5]=>0101000=>40
[3,6,5,2,8,1,4,7]=>1100100=>100
[3,6,5,7,2,4,1,8]=>1100100=>100
[4,2,6,3,8,1,5,7]=>1110000=>112
[4,2,6,7,3,5,1,8]=>1110000=>112
[3,6,2,4,7,5,1,8]=>1100100=>100
[3,6,2,4,1,8,5,7]=>1100100=>100
[7,3,8,2,1,6,4,5]=>1111000=>120
[7,3,5,2,1,8,6,4]=>1111010=>122
[8,7,6,4,3,1,5,2]=>1111011=>123
[8,7,6,4,1,5,2,3]=>1101011=>107
[3,8,7,2,1,4,6,5]=>1100101=>101
[3,8,2,7,1,5,4,6]=>1101000=>104
[3,6,8,2,1,5,4,7]=>1101000=>104
[2,4,8,1,6,5,3,7]=>1010100=>84
[4,2,8,1,5,7,3,6]=>1110000=>112
[8,5,7,6,1,4,2,3]=>1100110=>102
[8,6,1,7,3,5,4,2]=>1111010=>122
[8,6,1,7,5,4,2,3]=>1101110=>110
[1,6,2,8,7,3,5,4]=>0111001=>57
[1,8,2,4,6,7,3,5]=>0110000=>48
[2,8,5,4,7,1,3,6]=>1001100=>76
[2,1,5,8,6,4,3,7]=>1011010=>90
[7,2,5,6,4,3,1,8]=>1111000=>120
[1,2,5,7,8,4,3,6]=>0011000=>24
[1,2,7,4,8,6,3,5]=>0011010=>26
[1,2,7,8,3,6,5,4]=>0011100=>28
[7,1,8,6,3,5,4,2]=>1111010=>122
[1,8,7,6,3,5,2,4]=>0110011=>51
[1,8,7,4,6,3,2,5]=>0111001=>57
[7,1,5,8,3,4,6,2]=>1110000=>112
[7,1,6,4,2,3,5,8]=>1101000=>104
[8,6,2,4,7,3,5,1]=>1110010=>114
[8,6,2,4,5,7,3,1]=>1110010=>114
[2,7,1,4,5,8,3,6]=>1010000=>80
[7,1,6,4,5,2,3,8]=>1101000=>104
[7,1,4,5,6,8,2,3]=>1100000=>96
[7,1,4,6,5,8,3,2]=>1110100=>116
[7,1,2,3,8,5,4,6]=>1001100=>76
[7,1,5,4,3,8,2,6]=>1111000=>120
[7,1,3,4,2,6,8,5]=>1100100=>100
[7,1,5,4,6,2,8,3]=>1111000=>120
[7,1,5,6,4,3,8,2]=>1111000=>120
[7,1,6,5,4,3,2,8]=>1111100=>124
[8,6,2,5,4,3,7,1]=>1111010=>122
[2,5,1,7,4,3,6,8]=>1011000=>88
[2,5,1,4,7,8,6,3]=>1010010=>82
[3,5,1,4,8,6,2,7]=>1100010=>98
[3,6,2,4,7,8,1,5]=>1100000=>96
[5,6,2,4,8,7,1,3]=>1100001=>97
[6,3,8,2,4,7,1,5]=>1110000=>112
[6,5,8,7,2,3,1,4]=>1100101=>101
[6,5,7,8,2,4,1,3]=>1100100=>100
[6,3,4,2,8,5,1,7]=>1110100=>116
[3,4,7,2,5,8,1,6]=>1100000=>96
[4,6,8,1,3,5,2,7]=>1100000=>96
[4,3,8,1,2,7,5,6]=>1010100=>84
[3,6,4,1,7,2,5,8]=>1101000=>104
[2,8,3,1,5,6,4,7]=>1011000=>88
[3,8,7,1,5,4,2,6]=>1101001=>105
[4,3,1,7,6,8,2,5]=>1110010=>114
[3,4,1,7,5,6,8,2]=>1100100=>100
[3,4,1,5,7,6,2,8]=>1100010=>98
[3,7,4,1,6,2,8,5]=>1101100=>108
[8,4,7,2,5,3,6,1]=>1111000=>120
[4,7,8,1,2,3,6,5]=>1000100=>68
[2,8,6,1,5,3,7,4]=>1011010=>90
[7,6,5,1,3,8,2,4]=>1100110=>102
[7,6,5,1,3,4,8,2]=>1100110=>102
[7,2,6,4,1,3,8,5]=>1101100=>108
[6,7,5,2,1,3,8,4]=>1101100=>108
[8,4,5,3,7,2,6,1]=>1111000=>120
[4,7,5,2,8,1,6,3]=>1110100=>116
[2,6,4,3,1,5,7,8]=>1011000=>88
[7,3,8,4,1,5,2,6]=>1111000=>120
[7,2,3,4,1,6,5,8]=>1100100=>100
[4,2,8,3,6,1,5,7]=>1110000=>112
[6,8,5,7,2,1,3,4]=>1100100=>100
[4,8,5,2,7,1,3,6]=>1100100=>100
[6,3,5,2,1,7,4,8]=>1111000=>120
[6,8,5,3,1,4,2,7]=>1110100=>116
[3,6,5,4,2,8,1,7]=>1101100=>108
[1,6,4,7,2,5,3,8]=>0111000=>56
[1,6,4,8,2,5,3,7]=>0111000=>56
[1,6,5,8,2,4,3,7]=>0110100=>52
[1,6,8,2,4,3,7,5]=>0110100=>52
[1,6,2,4,3,7,8,5]=>0110100=>52
[1,5,6,2,4,7,3,8]=>0110000=>48
[1,5,6,2,4,7,8,3]=>0110000=>48
[1,5,8,2,4,7,3,6]=>0110000=>48
[1,5,7,2,4,8,3,6]=>0110000=>48
[1,6,5,7,2,4,3,8]=>0110100=>52
[1,6,7,2,4,3,8,5]=>0110100=>52
[1,5,6,7,2,4,8,3]=>0110000=>48
[1,5,8,2,4,6,7,3]=>0110000=>48
[1,5,7,2,4,6,8,3]=>0110000=>48
[1,5,7,8,3,2,4,6]=>0110000=>48
[1,5,8,3,2,4,6,7]=>0110000=>48
[1,5,6,2,4,8,3,7]=>0110000=>48
[1,7,6,2,8,3,4,5]=>0110010=>50
[1,7,3,4,2,8,6,5]=>0110110=>54
[1,6,2,4,3,8,7,5]=>0110101=>53
[1,5,6,2,4,8,7,3]=>0110001=>49
[1,5,8,7,3,2,4,6]=>0110001=>49
[1,4,2,3,5,8,7,6]=>0100011=>35
[1,5,2,3,4,8,7,6]=>0100011=>35
[1,6,5,2,3,8,7,4]=>0101101=>45
[1,7,4,2,8,6,5,3]=>0111110=>62
[1,7,6,5,2,8,4,3]=>0111110=>62
[1,6,7,5,2,3,8,4]=>0101100=>44
[1,7,5,2,8,4,3,6]=>0111100=>60
[1,7,5,6,2,8,3,4]=>0110100=>52
[1,5,7,6,2,4,8,3]=>0110010=>50
[1,5,8,3,2,4,7,6]=>0110010=>50
[1,6,5,2,3,7,4,8]=>0101100=>44
[1,6,5,2,3,7,8,4]=>0101100=>44
[1,6,8,4,2,3,7,5]=>0101100=>44
[1,7,4,6,2,8,3,5]=>0111000=>56
[1,7,3,5,2,8,4,6]=>0111000=>56
[1,6,8,5,2,3,7,4]=>0101100=>44
[1,6,4,2,3,7,8,5]=>0101100=>44
[1,6,4,2,3,7,5,8]=>0101100=>44
[1,5,8,6,2,4,7,3]=>0110010=>50
[1,5,7,3,2,4,8,6]=>0110010=>50
[1,7,3,4,2,8,5,6]=>0110100=>52
[1,7,4,2,8,5,3,6]=>0111100=>60
[1,6,7,4,2,3,8,5]=>0101100=>44
[1,6,4,2,3,8,5,7]=>0101100=>44
[1,7,6,4,2,8,5,3]=>0111110=>62
[1,7,5,2,8,6,4,3]=>0111110=>62
[1,6,4,2,3,8,7,5]=>0101101=>45
[7,3,5,6,1,4,8,2]=>1110000=>112
[3,7,5,6,1,4,8,2]=>1100100=>100
[8,2,4,1,6,7,5,3]=>1110100=>116
[8,6,1,4,2,7,5,3]=>1110110=>118
[3,6,1,4,2,8,5,7]=>1100100=>100
[1,6,7,4,3,5,8,2]=>0111000=>56
[6,7,1,4,3,5,8,2]=>1110000=>112
[7,6,1,4,3,5,8,2]=>1110010=>114
[3,5,4,1,6,7,8,2]=>1101000=>104
[4,7,1,6,3,5,8,2]=>1110000=>112
[3,1,4,7,6,5,8,2]=>1100110=>102
[6,1,7,4,3,5,8,2]=>1111000=>120
[7,1,6,4,3,5,8,2]=>1111000=>120
[1,7,6,4,3,5,8,2]=>0111010=>58
[8,1,6,4,2,7,5,3]=>1111100=>124
[8,4,1,3,7,2,5,6]=>1101000=>104
[4,7,1,3,8,2,5,6]=>1100000=>96
[7,4,1,3,8,2,5,6]=>1101000=>104
[1,3,6,4,2,8,5,7]=>0101100=>44
[4,7,3,1,2,8,5,6]=>1010100=>84
[4,7,8,1,2,6,5,3]=>1010100=>84
[6,8,1,4,2,7,5,3]=>1110100=>116
[1,8,6,4,2,7,5,3]=>0111110=>62
[4,8,1,3,7,2,5,6]=>1100000=>96
[8,7,1,3,6,2,5,4]=>1101001=>105
[6,8,5,7,3,2,1,4]=>1110100=>116
[1,8,4,3,7,2,5,6]=>0111000=>56
[2,8,3,4,7,6,1,5]=>1010010=>82
[3,7,8,4,6,2,1,5]=>1101000=>104
[3,7,4,6,8,2,1,5]=>1101000=>104
[2,4,3,7,8,6,1,5]=>1010010=>82
[1,4,7,3,8,2,5,6]=>0110000=>48
[5,7,6,8,3,2,1,4]=>1110010=>114
[2,5,3,4,8,6,1,7]=>1010010=>82
[3,7,5,4,8,2,1,6]=>1101100=>108
[7,1,3,4,2,8,5,6]=>1100100=>100
[6,1,4,3,8,2,5,7]=>1110000=>112
[4,1,7,3,8,2,5,6]=>1110000=>112
[8,1,4,3,7,2,5,6]=>1110000=>112
[8,2,3,4,7,6,1,5]=>1100010=>98
[4,2,3,7,8,6,1,5]=>1100010=>98
[5,2,3,4,8,6,1,7]=>1100010=>98
[2,7,5,6,3,8,1,4]=>1010100=>84
[5,7,2,6,3,8,1,4]=>1110000=>112
[5,7,2,6,8,4,1,3]=>1101000=>104
[7,2,5,6,8,4,1,3]=>1101000=>104
[4,2,3,8,5,6,1,7]=>1100100=>100
[5,2,3,8,7,6,1,4]=>1100011=>99
[8,2,3,7,5,6,1,4]=>1100100=>100
[6,1,8,3,7,2,5,4]=>1111000=>120
[1,7,8,4,2,6,5,3]=>0111100=>60
[4,7,1,8,2,5,6,3]=>1110000=>112
[3,7,4,8,5,2,1,6]=>1101100=>108
[2,4,3,8,5,6,1,7]=>1010100=>84
[1,4,8,3,6,2,5,7]=>0110000=>48
[7,5,8,6,3,2,1,4]=>1110110=>118
[6,5,8,7,3,2,1,4]=>1110101=>117
[8,5,7,6,3,2,1,4]=>1110110=>118
[2,5,3,8,7,6,1,4]=>1010011=>83
[3,7,5,8,6,2,1,4]=>1100110=>102
[3,7,8,6,5,2,1,4]=>1100110=>102
[1,8,7,3,6,2,5,4]=>0111001=>57
[6,8,7,5,3,2,1,4]=>1110101=>117
[5,7,6,8,3,4,1,2]=>1010010=>82
[3,7,6,8,4,5,1,2]=>1001010=>74
[1,5,4,7,6,8,2,3]=>0101010=>42
[1,7,4,6,5,8,2,3]=>0101100=>44
[3,7,4,6,5,8,1,2]=>1001100=>76
[3,5,4,8,6,7,1,2]=>1001010=>74
[3,8,4,6,5,7,1,2]=>1001100=>76
[3,6,4,7,5,8,1,2]=>1001100=>76
[1,6,2,7,5,8,3,4]=>0110100=>52
[1,6,4,8,5,7,2,3]=>0101100=>44
[1,8,4,6,5,7,2,3]=>0101100=>44
[1,5,4,8,6,7,2,3]=>0101010=>42
[7,8,1,5,4,6,2,3]=>1101000=>104
[7,8,1,5,2,4,3,6]=>1110000=>112
[1,8,2,6,5,7,3,4]=>0110100=>52
[1,7,2,8,5,6,3,4]=>0110100=>52
[1,7,2,6,5,8,3,4]=>0110100=>52
[1,5,2,7,6,8,3,4]=>0110010=>50
[1,7,6,8,2,5,3,4]=>0110010=>50
[1,7,6,8,4,5,2,3]=>0101010=>42
[5,7,6,8,1,4,2,3]=>1100010=>98
[7,8,5,6,1,3,2,4]=>1100100=>100
[5,8,6,7,1,3,2,4]=>1100010=>98
[1,3,2,7,6,8,4,5]=>0101010=>42
[1,7,6,8,2,4,3,5]=>0110010=>50
[7,8,1,3,2,6,4,5]=>1101000=>104
[7,8,1,6,2,4,3,5]=>1110000=>112
[1,8,6,7,2,4,3,5]=>0110010=>50
[7,8,1,4,2,6,3,5]=>1110000=>112
[7,8,1,4,2,5,3,6]=>1110000=>112
[7,8,2,1,4,3,6,5]=>1110100=>116
[7,8,1,2,4,3,5,6]=>1010000=>80
[4,3,6,5,8,7,1,2]=>1010101=>85
[3,4,6,5,7,8,1,2]=>1000100=>68
[3,4,1,5,6,7,8,9,2]=>11000000=>192
[3,4,5,1,6,7,8,9,2]=>11000000=>192
[3,4,5,6,1,7,8,9,2]=>11000000=>192
[3,4,5,6,7,1,8,9,2]=>11000000=>192
[3,4,5,6,7,8,1,9,2]=>11000000=>192
[3,1,2,5,6,7,8,9,4]=>10010000=>144
[3,4,1,5,6,7,8,9,10,2]=>110000000=>384
[3,4,1,2,6,7,8,9,5]=>10001000=>136
[3,4,5,1,6,7,8,9,10,2]=>110000000=>384
[3,4,5,1,2,7,8,9,6]=>10000100=>132
[3,4,5,6,1,7,8,9,10,2]=>110000000=>384
[3,4,5,6,1,2,8,9,7]=>10000010=>130
[3,4,5,6,7,1,8,9,10,2]=>110000000=>384
[3,4,5,6,7,1,2,9,8]=>10000001=>129
[3,4,5,6,7,8,1,9,10,2]=>110000000=>384
[3,4,5,6,7,8,1,2,9]=>10000000=>128
[3,4,5,6,7,8,9,1,10,2]=>110000000=>384
[1,6,2,3,8,7,4,5]=>0101001=>41
[1,7,4,3,2,8,6,5]=>0111110=>62
[1,4,7,6,2,5,8,3]=>0110010=>50
[1,2,6,5,3,7,4,8]=>0011100=>28
[1,2,6,5,3,7,8,4]=>0011100=>28
[1,3,7,5,2,6,8,4]=>0101100=>44
[1,3,7,4,2,6,8,5]=>0101100=>44
[1,2,6,4,3,7,8,5]=>0011100=>28
[1,2,6,4,3,7,5,8]=>0011100=>28
[1,4,7,3,2,5,8,6]=>0110010=>50
[1,4,3,2,5,8,6,7]=>0110010=>50
[1,5,3,2,4,8,6,7]=>0110010=>50
[1,7,5,3,2,8,6,4]=>0111110=>62
[1,5,3,2,4,8,7,6]=>0110011=>51
[7,6,5,4,3,1,8,2]=>1111110=>126
[6,8,5,4,3,2,1,7]=>1111100=>124
[8,7,6,5,4,3,1,9,2]=>11111110=>254
[7,9,6,5,4,3,2,1,8]=>11111100=>252
[9,8,7,6,5,4,3,1,10,2]=>111111110=>510
[1,7,6,5,4,3,9,8,2]=>01111101=>125
[7,1,5,4,3,8,6,2]=>1111010=>122
[3,6,5,4,8,1,7,2]=>1101100=>108
[6,8,1,4,3,2,7,5]=>1110100=>116
[2,8,5,4,3,7,1,6]=>1011100=>92
[1,9,6,5,4,3,2,8,7]=>01111110=>126
[8,10,7,6,5,4,3,2,1,9]=>111111100=>508
[1,8,7,6,5,4,3,10,9,2]=>011111101=>253
[8,1,6,5,4,3,9,7,2]=>11111010=>250
[3,7,6,5,4,9,1,8,2]=>11011100=>220
[7,6,1,4,3,8,5,2]=>1110110=>118
[4,6,5,8,3,1,7,2]=>1110100=>116
[6,8,5,1,3,2,7,4]=>1101100=>108
[1,8,2,4,3,7,6,5]=>0110110=>54
[7,9,1,5,4,3,2,8,6]=>11110100=>244
[3,8,5,4,7,2,1,6]=>1101100=>108
[2,9,6,5,4,3,8,1,7]=>10111100=>188
[1,10,7,6,5,4,3,2,9,8]=>011111110=>254
[9,1,7,6,5,4,3,10,8,2]=>111111010=>506
[3,8,7,6,5,4,10,1,9,2]=>110111100=>444
[8,7,1,5,4,3,9,6,2]=>11110110=>246
[1,3,6,5,4,9,8,7,2]=>01011011=>91
[4,7,6,5,9,3,1,8,2]=>11101100=>236
[7,6,5,1,3,8,4,2]=>1101110=>110
[1,6,3,4,8,7,5,2]=>0110101=>53
[1,4,5,8,3,7,6,2]=>0110010=>50
[6,8,5,4,1,2,7,3]=>1011100=>92
[1,8,5,2,3,7,6,4]=>0101110=>46
[7,9,6,1,4,3,2,8,5]=>11101100=>236
[6,8,2,4,3,7,1,5]=>1110000=>112
[1,8,3,4,7,2,6,5]=>0110100=>52
[1,9,2,5,4,3,8,7,6]=>01110110=>118
[8,10,1,6,5,4,3,2,9,7]=>111110100=>500
[7,5,8,4,3,2,1,6]=>1111100=>124
[4,8,5,7,3,2,1,6]=>1110100=>116
[3,9,6,5,4,8,2,1,7]=>11011100=>220
[2,10,7,6,5,4,3,9,1,8]=>101111100=>380
[5,1,7,6,8,4,3,2]=>1111010=>122
[6,4,8,5,2,7,1,3]=>1101100=>108
[5,1,8,6,7,4,3,2]=>1111010=>122
[8,4,7,5,2,6,1,3]=>1101100=>108
[5,4,6,8,2,1,7,3]=>1111000=>120
[6,4,5,8,1,2,7,3]=>1011000=>88
[7,4,6,5,2,1,8,3]=>1111100=>124
[8,4,6,5,2,1,7,3]=>1111100=>124
[4,8,7,5,6,1,3,2]=>1100101=>101
[2,7,5,1,8,4,3,6]=>1011100=>92
[5,1,8,7,4,2,3,6]=>1101001=>105
[2,8,6,7,4,3,5,1]=>1011010=>90
[3,6,5,2,4,1,8,7]=>1100101=>101
[5,2,3,6,4,1,8,7]=>1101001=>105
[6,1,4,5,3,2,8,7]=>1110001=>113
[3,8,7,1,4,6,5,2]=>1100101=>101
[5,7,1,2,4,3,8,6]=>1010010=>82
[4,3,7,6,8,2,5,1]=>1110010=>114
[5,3,6,8,1,7,2,4]=>1110000=>112
[3,2,6,8,5,7,1,4]=>1100100=>100
[6,3,7,2,4,8,5,1]=>1110100=>116
[7,4,8,6,5,2,1,3]=>1101110=>110
[7,1,8,2,5,4,3,6]=>1111000=>120
[2,5,3,7,4,1,8,6]=>1011010=>90
[3,6,4,7,5,1,8,2]=>1101100=>108
[8,4,7,6,2,3,1,5]=>1101010=>106
[8,4,7,1,2,5,6,3]=>1011000=>88
[4,2,8,7,3,5,6,1]=>1110001=>113
[8,1,7,4,2,5,6,3]=>1111000=>120
[7,4,3,8,2,5,6,1]=>1111000=>120
[6,4,1,5,8,2,7,3]=>1111000=>120
[2,5,8,7,3,6,1,4]=>1010001=>81
[2,1,5,8,7,4,6,3]=>1011001=>89
[8,3,5,6,7,4,1,2]=>1011000=>88
[7,4,3,2,8,5,6,1]=>1111100=>124
[4,2,7,1,8,5,6,3]=>1110100=>116
[4,1,7,2,8,5,6,3]=>1110100=>116
[2,4,8,7,3,5,6,1]=>1010001=>81
[4,7,8,3,1,5,6,2]=>1110000=>112
[3,4,7,2,8,5,6,1]=>1100100=>100
[3,7,1,4,8,5,6,2]=>1100100=>100
[7,2,3,4,8,5,6,1]=>1100100=>100
[6,1,8,5,2,7,4,3]=>1111100=>124
[2,1,7,4,5,8,6,3]=>1011010=>90
[2,1,8,3,6,7,5,4]=>1011100=>92
[8,2,1,6,4,7,5,3]=>1111100=>124
[7,8,2,6,4,1,5,3]=>1111000=>120
[2,6,3,5,8,7,1,4]=>1010001=>81
[7,6,2,1,5,8,4,3]=>1111010=>122
[4,5,2,7,6,1,8,3]=>1110010=>114
[5,1,6,8,4,7,2,3]=>1101000=>104
[3,6,8,7,5,2,1,4]=>1100101=>101
[7,4,8,6,5,2,3,1]=>1101110=>110
[8,1,6,4,7,3,2,5]=>1111000=>120
[7,6,4,1,2,3,8,5]=>1001110=>78
[2,6,4,8,5,3,7,1]=>1011100=>92
[7,3,5,8,4,2,1,6]=>1111000=>120
[3,2,5,8,4,1,7,6]=>1101010=>106
[8,4,7,1,5,2,3,6]=>1101000=>104
[4,8,7,5,6,1,2,3]=>1000101=>69
[6,1,4,8,7,3,5,2]=>1110001=>113
[7,2,8,4,3,5,6,1]=>1111000=>120
[4,7,8,1,3,5,6,2]=>1100000=>96
[8,7,3,4,1,5,6,2]=>1110001=>113
[4,8,2,7,3,5,6,1]=>1110000=>112
[3,1,8,7,2,5,6,4]=>1101001=>105
[3,8,1,7,2,5,6,4]=>1101000=>104
[8,2,3,7,1,5,6,4]=>1101000=>104
[6,4,8,7,1,3,2,5]=>1101001=>105
[2,8,4,6,7,3,1,5]=>1011000=>88
[4,3,8,2,7,6,1,5]=>1110010=>114
[6,8,4,2,1,3,7,5]=>1101100=>108
[7,8,2,4,3,5,6,1]=>1110000=>112
[2,8,3,7,1,5,6,4]=>1011000=>88
[8,1,2,7,3,5,6,4]=>1011000=>88
[6,4,1,3,2,8,5,7]=>1101100=>108
[5,3,8,6,2,1,4,7]=>1110010=>114
[4,6,5,2,8,3,1,7]=>1110100=>116
[4,3,7,5,1,8,2,6]=>1110100=>116
[6,8,5,2,7,4,3,1]=>1111100=>124
[7,2,5,4,3,8,1,6]=>1111000=>120
[3,6,8,1,4,5,2,7]=>1100000=>96
[6,8,1,2,4,5,3,7]=>1010000=>80
[8,1,6,2,4,5,3,7]=>1110000=>112
[3,8,6,1,2,5,4,7]=>1001010=>74
[5,8,1,6,2,3,4,7]=>1100000=>96
[4,1,6,5,8,2,3,7]=>1100100=>100
[4,3,8,6,2,5,1,7]=>1110010=>114
[8,3,6,1,4,5,2,7]=>1110000=>112
[2,3,6,8,4,5,1,7]=>1001000=>72
[2,7,5,4,3,8,1,6]=>1011100=>92
[6,3,8,7,4,2,5,1]=>1111001=>121
[5,8,4,3,7,6,1,2]=>1011010=>90
[8,7,4,3,1,6,2,5]=>1111001=>121
[1,7,4,3,8,6,2,5]=>0111010=>58
[7,1,5,3,4,8,2,6]=>1110000=>112
[2,8,6,1,7,4,5,3]=>1011010=>90
[4,8,6,5,7,2,1,3]=>1100110=>102
[4,7,6,8,2,1,5,3]=>1110010=>114
[6,1,8,7,4,3,5,2]=>1111001=>121
[8,5,4,3,1,6,7,2]=>1111100=>124
[1,5,8,6,3,4,7,2]=>0110010=>50
[2,5,8,6,3,4,7,1]=>1010010=>82
[4,1,3,8,5,6,7,2]=>1100100=>100
[6,5,8,4,3,1,7,2]=>1111100=>124
[4,6,5,2,8,1,7,3]=>1110100=>116
[7,2,8,1,3,6,4,5]=>1101000=>104
[1,8,5,2,3,6,7,4]=>0101100=>44
[1,8,3,2,5,6,7,4]=>0111000=>56
[2,8,3,1,5,6,7,4]=>1011000=>88
[4,8,3,2,5,6,7,1]=>1110000=>112
[8,2,3,1,5,6,7,4]=>1101000=>104
[2,1,8,3,5,6,7,4]=>1011000=>88
[1,4,8,2,3,6,7,5]=>0100100=>36
[3,1,2,7,8,6,4,5]=>1001010=>74
[7,5,1,8,2,4,3,6]=>1110100=>116
[3,5,8,1,2,4,7,6]=>1000010=>66
[4,5,8,1,2,3,7,6]=>1000010=>66
[4,2,7,1,8,6,3,5]=>1110010=>114
[3,8,4,1,2,6,7,5]=>1001100=>76
[5,4,8,2,3,6,7,1]=>1101000=>104
[5,8,3,6,7,4,1,2]=>1011000=>88
[2,3,1,6,8,4,7,5]=>1001100=>76
[2,4,3,7,1,8,5,6]=>1010100=>84
[1,4,7,3,2,8,5,6]=>0110100=>52
[2,7,1,4,3,8,5,6]=>1010100=>84
[2,4,1,8,6,3,7,5]=>1010110=>86
[8,4,1,3,6,2,7,5]=>1101100=>108
[6,8,5,1,7,2,3,4]=>1100100=>100
[7,3,6,5,8,2,1,4]=>1110100=>116
[7,6,3,5,8,2,1,4]=>1110010=>114
[4,5,8,7,3,6,1,2]=>1010001=>81
[3,5,2,8,6,1,7,4]=>1101010=>106
[8,2,5,6,1,4,7,3]=>1110000=>112
[8,6,5,4,1,2,7,3]=>1011110=>94
[2,6,1,8,3,7,5,4]=>1011100=>92
[4,7,1,6,2,8,5,3]=>1110100=>116
[6,1,5,3,8,7,2,4]=>1110001=>113
[2,8,6,3,7,1,5,4]=>1011010=>90
[7,6,1,5,8,2,3,4]=>1100010=>98
[3,6,8,5,1,2,7,4]=>1001100=>76
[6,5,2,4,8,1,7,3]=>1110100=>116
[5,1,4,8,2,6,7,3]=>1110000=>112
[4,8,2,5,1,6,7,3]=>1110000=>112
[3,4,8,5,2,6,7,1]=>1100100=>100
[4,2,1,8,5,6,7,3]=>1110100=>116
[1,5,4,8,2,6,7,3]=>0111000=>56
[7,2,1,5,8,6,3,4]=>1110010=>114
[2,8,4,5,1,6,7,3]=>1011000=>88
[5,4,8,3,7,6,1,2]=>1011010=>90
[3,1,5,8,6,2,7,4]=>1101010=>106
[6,3,4,8,5,1,7,2]=>1110100=>116
[5,3,4,8,1,6,7,2]=>1110000=>112
[7,6,1,2,8,3,5,4]=>1011010=>90
[7,5,8,4,1,2,6,3]=>1011100=>92
[7,5,8,4,6,1,3,2]=>1101100=>108
[6,5,4,8,7,1,3,2]=>1101101=>109
[6,5,4,8,1,2,7,3]=>1011100=>92
[7,5,1,6,2,3,8,4]=>1101100=>108
[7,5,1,6,8,2,4,3]=>1110100=>116
[6,5,4,1,8,2,7,3]=>1111100=>124
[6,5,4,7,1,2,8,3]=>1011100=>92
[6,5,4,7,8,1,3,2]=>1101100=>108
[6,5,3,7,1,4,2,8]=>1110100=>116
[6,5,3,1,8,4,2,7]=>1111100=>124
[7,5,1,4,8,3,2,6]=>1110100=>116
[8,1,6,4,7,3,5,2]=>1111000=>120
[7,5,1,4,8,3,6,2]=>1110100=>116
[6,5,3,7,1,4,8,2]=>1110100=>116
[6,4,3,1,5,8,7,2]=>1111001=>121
[7,4,1,5,3,8,6,2]=>1111010=>122
[8,1,5,4,3,7,6,2]=>1111010=>122
[8,1,5,4,3,7,2,6]=>1111000=>120
[7,4,1,5,3,8,2,6]=>1111000=>120
[7,4,1,5,3,2,6,8]=>1111000=>120
[8,1,5,4,3,2,6,7]=>1111000=>120
[8,1,6,4,2,5,3,7]=>1111000=>120
[6,5,3,1,2,7,4,8]=>1011100=>92
[6,5,3,8,1,4,2,7]=>1110100=>116
[7,6,8,1,4,3,2,5]=>1110010=>114
[8,1,7,2,5,4,3,6]=>1111000=>120
[8,1,7,2,5,4,6,3]=>1111000=>120
[7,6,1,2,5,4,8,3]=>1011010=>90
[6,5,3,8,1,4,7,2]=>1110100=>116
[6,5,3,1,2,7,8,4]=>1011100=>92
[7,5,1,4,2,6,8,3]=>1110100=>116
[8,1,6,4,2,5,7,3]=>1111000=>120
[7,4,1,5,3,2,8,6]=>1111010=>122
[6,4,3,1,5,2,8,7]=>1111001=>121
[6,4,3,1,5,7,2,8]=>1111000=>120
[7,4,1,5,3,6,2,8]=>1111000=>120
[8,1,5,4,3,6,2,7]=>1111000=>120
[8,1,5,4,3,6,7,2]=>1111000=>120
[7,4,1,5,3,6,8,2]=>1111000=>120
[6,4,3,1,5,7,8,2]=>1111000=>120
[6,7,3,8,4,5,1,2]=>1011000=>88
[6,7,4,5,1,8,2,3]=>1101000=>104
[4,7,5,6,2,3,1,8]=>1100100=>100
[4,7,5,6,1,8,2,3]=>1100100=>100
[4,7,5,6,3,8,1,2]=>1010100=>84
[3,7,5,8,4,6,1,2]=>1001100=>76
[4,5,3,8,6,7,1,2]=>1010010=>82
[4,8,3,6,5,7,1,2]=>1010100=>84
[5,6,4,7,1,8,2,3]=>1101000=>104
[5,6,1,7,3,8,2,4]=>1110000=>112
[5,6,1,8,2,7,3,4]=>1110000=>112
[5,6,1,8,4,7,2,3]=>1101000=>104
[4,8,1,6,5,7,2,3]=>1100100=>100
[4,5,1,8,6,7,2,3]=>1100010=>98
[7,8,4,5,1,6,2,3]=>1101000=>104
[4,8,2,3,1,6,5,7]=>1100100=>100
[5,6,2,8,1,4,3,7]=>1110000=>112
[5,6,3,4,1,8,2,7]=>1110000=>112
[3,6,4,5,2,7,1,8]=>1101000=>104
[3,6,4,5,1,8,2,7]=>1101000=>104
[2,6,4,8,1,5,3,7]=>1011000=>88
[2,8,3,6,1,5,4,7]=>1011000=>88
[2,8,3,4,1,6,5,7]=>1010100=>84
[7,8,2,5,3,4,1,6]=>1110000=>112
[7,8,1,5,3,6,2,4]=>1110000=>112
[1,5,3,8,6,7,2,4]=>0110010=>50
[1,8,3,6,2,7,4,5]=>0111000=>56
[1,6,4,8,2,7,3,5]=>0111000=>56
[2,6,4,7,3,5,1,8]=>1011000=>88
[2,7,3,6,4,5,1,8]=>1011000=>88
[1,7,3,6,4,8,2,5]=>0111000=>56
[1,7,2,8,4,6,3,5]=>0111000=>56
[1,7,5,8,4,6,2,3]=>0101100=>44
[1,7,5,8,2,6,3,4]=>0110100=>52
[1,7,5,6,3,8,2,4]=>0110100=>52
[2,7,5,6,3,4,1,8]=>1010100=>84
[6,7,2,5,3,4,1,8]=>1110000=>112
[6,7,1,5,3,8,2,4]=>1110000=>112
[6,7,5,8,1,4,2,3]=>1100100=>100
[5,8,6,7,2,3,1,4]=>1100010=>98
[6,7,2,3,1,8,4,5]=>1101000=>104
[6,7,2,8,1,4,3,5]=>1110000=>112
[3,4,2,7,5,6,1,8]=>1100100=>100
[3,4,1,7,5,8,2,6]=>1100100=>100
[2,7,5,8,1,4,3,6]=>1010100=>84
[2,3,1,7,5,8,4,6]=>1001100=>76
[2,3,1,8,4,7,5,6]=>1001100=>76
[7,8,2,3,1,6,4,5]=>1101000=>104
[7,8,2,6,1,4,3,5]=>1110000=>112
[2,8,6,7,1,4,3,5]=>1010010=>82
[2,8,1,4,3,7,5,6]=>1010100=>84
[3,7,2,5,4,6,1,8]=>1101000=>104
[4,5,2,7,3,6,1,8]=>1110000=>112
[4,5,1,8,2,7,3,6]=>1110000=>112
[3,4,1,8,2,7,5,6]=>1100100=>100
[3,4,1,8,6,7,2,5]=>1100010=>98
[3,4,2,5,1,8,6,7]=>1100010=>98
[3,4,2,8,1,6,5,7]=>1100100=>100
[3,8,2,5,1,6,4,7]=>1101000=>104
[4,5,2,8,1,6,3,7]=>1110000=>112
[4,5,3,6,1,8,2,7]=>1110000=>112
[7,1,5,8,4,6,2,3]=>1101000=>104
[8,6,7,1,4,2,5,3]=>1110010=>114
[8,6,3,7,5,1,2,4]=>1010110=>86
[8,6,1,7,3,2,5,4]=>1111010=>122
[7,6,1,8,3,5,2,4]=>1110010=>114
[7,6,1,3,8,5,2,4]=>1100110=>102
[7,6,8,2,4,5,1,3]=>1100010=>98
[7,6,2,8,3,5,1,4]=>1110010=>114
[7,6,2,3,8,5,1,4]=>1100110=>102
[8,7,1,5,2,6,3,4]=>1110001=>113
[8,7,1,5,2,3,6,4]=>1101001=>105
[8,5,2,3,1,7,6,4]=>1101110=>110
[8,6,2,3,7,1,5,4]=>1101010=>106
[8,6,2,7,3,1,5,4]=>1111010=>122
[8,6,7,2,4,1,5,3]=>1110010=>114
[6,8,7,3,4,1,5,2]=>1110001=>113
[8,7,2,5,1,6,3,4]=>1110001=>113
[8,7,2,1,4,6,3,5]=>1110001=>113
[8,4,2,1,7,6,3,5]=>1111010=>122
[8,5,2,7,1,6,3,4]=>1110100=>116
[8,5,7,2,1,4,3,6]=>1110100=>116
[5,8,7,3,1,4,2,6]=>1110001=>113
[5,8,7,3,1,4,6,2]=>1110001=>113
[8,5,7,2,1,4,6,3]=>1110100=>116
[8,5,2,7,1,3,6,4]=>1101100=>108
[8,4,2,1,3,7,6,5]=>1101110=>110
[8,7,4,1,2,3,6,5]=>1001101=>77
[8,7,4,1,2,6,3,5]=>1011001=>89
[8,4,3,1,7,2,6,5]=>1111100=>124
[8,4,3,1,2,7,6,5]=>1011110=>94
[8,6,1,3,7,2,5,4]=>1101010=>106
[8,5,1,3,2,7,6,4]=>1101110=>110
[8,5,7,4,1,6,2,3]=>1101100=>108
[8,5,7,4,1,2,6,3]=>1011100=>92
[8,1,5,4,2,7,6,3]=>1111010=>122
[8,1,6,4,7,2,5,3]=>1111000=>120
[6,1,5,8,4,2,7,3]=>1111000=>120
[5,8,3,6,4,1,2,7]=>1011000=>88
[5,2,8,6,4,1,3,7]=>1101010=>106
[8,4,7,5,1,6,2,3]=>1101100=>108
[8,4,7,5,1,2,6,3]=>1011100=>92
[8,4,7,5,1,2,3,6]=>1001100=>76
[8,7,3,5,1,2,6,4]=>1011001=>89
[8,3,2,6,5,1,4,7]=>1110100=>116
[4,8,6,3,5,1,2,7]=>1010010=>82
[4,8,7,3,1,5,2,6]=>1110001=>113
[8,4,7,2,1,5,3,6]=>1111000=>120
[8,3,2,7,1,5,4,6]=>1111000=>120
[8,3,2,1,7,6,4,5]=>1111010=>122
[8,7,3,1,4,2,6,5]=>1110101=>117
[8,7,3,1,6,2,4,5]=>1110001=>113
[8,7,3,1,2,6,4,5]=>1011001=>89
[8,7,3,1,2,4,6,5]=>1010101=>85
[8,3,2,1,4,7,6,5]=>1110110=>118
[8,3,2,1,7,4,6,5]=>1111100=>124
[8,3,2,7,1,5,6,4]=>1111000=>120
[8,4,7,2,1,5,6,3]=>1111000=>120
[3,8,7,4,1,2,5,6]=>1001001=>73
[8,7,2,1,6,3,4,5]=>1110001=>113
[8,7,2,1,3,6,4,5]=>1101001=>105
[8,7,2,1,3,4,6,5]=>1100101=>101
[3,6,5,4,1,2,8,7]=>1001101=>77
[3,8,5,6,7,4,1,2]=>1001100=>76
[4,7,5,8,6,2,1,3]=>1100110=>102
[2,5,7,8,6,3,4,1]=>1010010=>82
[4,8,5,7,6,3,1,2]=>1010110=>86
[4,6,3,2,1,5,8,7]=>1110001=>113
[6,2,1,5,3,4,8,7]=>1110001=>113
[5,8,1,3,7,6,4,2]=>1101010=>106
[4,7,2,3,6,1,8,5]=>1100100=>100
[3,7,4,2,8,1,5,6]=>1101000=>104
[4,2,6,8,5,7,3,1]=>1110100=>116
[6,4,2,7,3,8,5,1]=>1111100=>124
[8,1,6,7,5,3,4,2]=>1110100=>116
[2,1,5,8,7,6,3,4]=>1010011=>83
[2,1,4,7,6,3,8,5]=>1010110=>86
[6,4,7,8,5,3,2,1]=>1111100=>124
[4,1,3,7,6,2,8,5]=>1100110=>102
[8,5,1,6,3,2,7,4]=>1111100=>124
[6,3,7,1,5,2,8,4]=>1111000=>120
[3,2,6,8,4,7,5,1]=>1101100=>108
[8,4,6,1,3,2,5,7]=>1101000=>104
[4,2,8,6,7,3,1,5]=>1110010=>114
[7,4,3,8,2,1,5,6]=>1111000=>120
[4,7,5,8,1,6,3,2]=>1110100=>116
[6,4,3,2,7,8,1,5]=>1111000=>120
[4,2,5,1,6,7,8,3]=>1110000=>112
[2,4,8,5,7,1,3,6]=>1000100=>68
[3,7,1,4,6,8,5,2]=>1100100=>100
[7,8,2,5,6,1,4,3]=>1110000=>112
[2,4,3,8,7,5,6,1]=>1010101=>85
[2,6,7,3,5,1,8,4]=>1011000=>88
[7,6,8,4,2,5,3,1]=>1111010=>122
[8,5,7,1,6,3,2,4]=>1110100=>116
[6,5,7,2,8,4,3,1]=>1111100=>124
[3,4,8,6,5,2,1,7]=>1100110=>102
[2,7,6,1,4,5,8,3]=>1010010=>82
[6,5,8,2,1,7,3,4]=>1110100=>116
[7,4,3,5,1,6,8,2]=>1111000=>120
[4,1,6,3,5,8,7,2]=>1110001=>113
[6,2,5,8,4,3,7,1]=>1111000=>120
[8,6,7,1,5,4,3,2]=>1111010=>122
[2,1,6,5,8,4,7,3]=>1011100=>92
[2,1,6,8,5,4,3,7]=>1011100=>92
[4,1,8,5,6,2,3,7]=>1100100=>100
[2,6,4,8,7,3,5,1]=>1011001=>89
[6,2,8,4,3,5,1,7]=>1111000=>120
[4,8,2,7,6,1,3,5]=>1100010=>98
[3,1,8,2,7,5,4,6]=>1101100=>108
[3,8,1,2,6,7,4,5]=>1001000=>72
[5,8,4,3,2,7,1,6]=>1111000=>120
[7,4,8,6,3,2,5,1]=>1111010=>122
[5,8,4,7,2,1,3,6]=>1101000=>104
[2,1,8,4,3,7,5,6]=>1011100=>92
[6,3,8,2,4,5,7,1]=>1110000=>112
[5,8,4,2,3,6,1,7]=>1101000=>104
[5,8,2,4,3,1,6,7]=>1110000=>112
[2,8,3,1,6,4,5,7]=>1011000=>88
[8,2,1,3,4,7,5,6]=>1100100=>100
[1,4,8,2,6,3,5,7]=>0110000=>48
[1,2,7,3,5,4,8,6]=>0011010=>26
[1,2,3,8,4,5,7,6]=>0001010=>10
[1,2,8,3,4,5,7,6]=>0010010=>18
[1,3,8,2,6,4,5,7]=>0101000=>40
[1,5,7,2,3,6,4,8]=>0101000=>40
[1,7,2,3,5,4,8,6]=>0101010=>42
[1,3,8,2,4,5,7,6]=>0100010=>34
[1,2,3,8,4,6,7,5]=>0001100=>12
[1,8,2,3,5,4,6,7]=>0101000=>40
[1,7,8,2,3,6,4,5]=>0101000=>40
[1,6,7,8,2,3,5,4]=>0101000=>40
[1,7,8,2,5,3,6,4]=>0111000=>56
[1,7,8,2,4,5,3,6]=>0110000=>48
[1,2,8,3,6,4,5,7]=>0011000=>24
[1,8,2,3,6,4,5,7]=>0101000=>40
[1,2,8,3,5,4,6,7]=>0011000=>24
[1,2,7,8,3,6,4,5]=>0011000=>24
[1,5,2,7,8,3,6,4]=>0111000=>56
[1,3,2,8,4,6,7,5]=>0101100=>44
[1,8,2,3,4,6,7,5]=>0100100=>36
[1,7,8,2,4,3,6,5]=>0110100=>52
[7,6,3,1,5,2,4,8]=>1110010=>114
[6,7,3,1,5,2,8,4]=>1111000=>120
[6,8,3,1,5,2,7,4]=>1111000=>120
[6,8,4,5,1,2,7,3]=>1011000=>88
[6,7,4,5,1,2,8,3]=>1011000=>88
[7,2,1,6,5,3,4,8]=>1110100=>116
[7,3,6,1,5,2,4,8]=>1110000=>112
[7,4,6,5,1,2,3,8]=>1001100=>76
[6,7,5,4,1,2,8,3]=>1011100=>92
[5,8,6,4,1,7,2,3]=>1101010=>106
[5,7,6,4,1,8,2,3]=>1101010=>106
[5,6,7,4,1,8,2,3]=>1101000=>104
[6,5,7,4,1,2,8,3]=>1011100=>92
[6,4,7,5,1,2,8,3]=>1011100=>92
[6,2,1,7,5,3,8,4]=>1111100=>124
[6,3,8,1,5,2,7,4]=>1111000=>120
[6,4,8,5,1,2,7,3]=>1011100=>92
[6,5,8,4,1,2,7,3]=>1011100=>92
[5,6,8,4,1,7,2,3]=>1101000=>104
[4,6,8,5,7,1,2,3]=>1000100=>68
[4,5,8,6,7,1,2,3]=>1000010=>66
[5,4,8,6,1,7,2,3]=>1101010=>106
[5,3,8,1,6,7,2,4]=>1110000=>112
[5,2,1,8,6,7,3,4]=>1110010=>114
[5,2,1,7,6,8,3,4]=>1110010=>114
[5,4,7,6,1,8,2,3]=>1101010=>106
[4,5,7,6,8,1,2,3]=>1000010=>66
[4,6,7,5,8,1,2,3]=>1000100=>68
[4,8,6,5,7,1,2,3]=>1000110=>70
[4,8,5,6,7,1,2,3]=>1000100=>68
[4,7,5,6,8,1,2,3]=>1000100=>68
[4,6,5,7,8,1,2,3]=>1000100=>68
[5,7,4,6,1,8,2,3]=>1101000=>104
[5,8,4,6,1,7,2,3]=>1101000=>104
[5,8,3,1,6,7,2,4]=>1110000=>112
[5,7,3,1,6,8,2,4]=>1110000=>112
[5,6,3,1,7,8,2,4]=>1110000=>112
[6,2,1,4,3,8,7,5]=>1110101=>117
[5,8,3,1,7,6,2,4]=>1110010=>114
[5,7,4,8,1,6,2,3]=>1101000=>104
[5,2,1,6,8,7,3,4]=>1110001=>113
[5,4,6,8,1,7,2,3]=>1101000=>104
[4,5,6,8,7,1,2,3]=>1000001=>65
[4,7,5,8,6,1,2,3]=>1000110=>70
[4,8,5,7,6,1,2,3]=>1000110=>70
[4,8,6,7,5,1,2,3]=>1000110=>70
[4,7,6,8,5,1,2,3]=>1000110=>70
[4,6,7,8,5,1,2,3]=>1000100=>68
[4,5,7,8,6,1,2,3]=>1000010=>66
[5,4,7,8,1,6,2,3]=>1101000=>104
[5,3,7,1,8,6,2,4]=>1110010=>114
[5,2,1,7,8,6,3,4]=>1110010=>114
[5,3,8,1,7,6,2,4]=>1110010=>114
[5,4,8,7,1,6,2,3]=>1101001=>105
[4,6,8,7,5,1,2,3]=>1000101=>69
[4,7,8,6,5,1,2,3]=>1000110=>70
[4,8,7,6,5,1,2,3]=>1000111=>71
[2,5,4,7,3,6,1,8]=>1011000=>88
[2,4,6,3,7,5,1,8]=>1010100=>84
[4,2,7,3,6,5,1,8]=>1110100=>116
[4,2,6,3,1,5,8,7]=>1110001=>113
[2,5,3,1,6,4,8,7]=>1011001=>89
[2,5,3,7,6,4,1,8]=>1011010=>90
[2,6,5,3,7,4,1,8]=>1011100=>92
[4,2,7,6,3,5,1,8]=>1110010=>114
[2,7,5,3,6,4,1,8]=>1011100=>92
[2,6,3,7,5,4,1,8]=>1011100=>92
[1,7,5,2,3,8,4,6]=>0101100=>44
[2,1,3,7,5,4,8,6]=>1001110=>78
[2,3,1,8,6,5,4,7]=>1001110=>78
[2,5,3,1,8,6,4,7]=>1011010=>90
[4,2,8,3,1,6,5,7]=>1110100=>116
[8,3,2,6,4,1,5,7]=>1111000=>120
[3,6,8,2,1,4,5,7]=>1100000=>96
[1,5,2,8,3,4,7,6]=>0110010=>50
[1,2,6,3,8,7,4,5]=>0011001=>25
[1,2,8,3,6,4,7,5]=>0011100=>28
[1,2,7,6,3,4,8,5]=>0010110=>22
[2,1,3,8,7,5,4,6]=>1001101=>77
[1,2,3,8,6,4,7,5]=>0001110=>14
[1,2,3,7,4,8,6,5]=>0001110=>14
[1,2,7,6,3,8,4,5]=>0011010=>26
[1,2,3,6,4,8,7,5]=>0001101=>13
[1,2,3,7,6,4,8,5]=>0001110=>14
[2,6,3,1,8,5,4,7]=>1011100=>92
[2,1,3,8,5,4,7,6]=>1001110=>78
[7,1,8,4,2,3,5,6]=>1101000=>104
[2,1,8,4,3,5,7,6]=>1011010=>90
[4,2,6,3,1,8,5,7]=>1110100=>116
[5,4,2,8,3,1,6,7]=>1111000=>120
[3,5,8,2,4,1,6,7]=>1100000=>96
[2,5,4,8,3,1,6,7]=>1011000=>88
[4,2,1,8,3,5,7,6]=>1110010=>114
[1,8,7,4,2,3,5,6]=>0101001=>41
[1,5,2,8,7,3,4,6]=>0110001=>49
[1,2,7,3,6,4,8,5]=>0011100=>28
[1,2,8,6,3,7,4,5]=>0011010=>26
[1,2,7,3,8,6,4,5]=>0011010=>26
[1,2,3,8,4,7,6,5]=>0001110=>14
[1,2,7,3,4,8,6,5]=>0010110=>22
[1,2,6,3,8,4,7,5]=>0011100=>28
[1,5,2,3,8,7,4,6]=>0101001=>41
[4,2,1,8,3,7,5,6]=>1110100=>116
[8,3,2,1,7,4,5,6]=>1111000=>120
[1,8,4,2,7,3,5,6]=>0111000=>56
[1,2,8,6,3,4,7,5]=>0010110=>22
[1,2,7,3,8,4,6,5]=>0011100=>28
[1,2,3,8,7,4,6,5]=>0001101=>13
[1,2,3,8,7,6,4,5]=>0001011=>11
[2,5,3,8,1,6,4,7]=>1011000=>88
[2,6,4,7,1,5,3,8]=>1011000=>88
[2,6,5,7,1,4,3,8]=>1010100=>84
[3,8,5,7,1,2,6,4]=>1001100=>76
[3,8,5,7,2,6,4,1]=>1101100=>108
[3,4,8,6,2,5,7,1]=>1100010=>98
[3,4,8,6,1,2,5,7]=>1000010=>66
[2,5,7,1,4,8,6,3]=>1010010=>82
[2,4,8,1,5,7,6,3]=>1010010=>82
[2,4,3,8,1,6,5,7]=>1010100=>84
[2,8,1,7,5,6,4,3]=>1011100=>92
[2,3,8,1,6,5,7,4]=>1001100=>76
[2,4,8,1,3,5,7,6]=>1000010=>66
[3,5,7,6,1,2,4,8]=>1000010=>66
[3,5,7,6,2,4,8,1]=>1100010=>98
[4,8,6,7,2,3,5,1]=>1100010=>98
[4,8,6,7,1,2,3,5]=>1000010=>66
[4,8,6,7,1,3,5,2]=>1100010=>98
[3,4,8,6,1,5,7,2]=>1100010=>98
[3,8,5,7,1,6,4,2]=>1101100=>108
[3,2,8,5,6,1,7,4]=>1101100=>108
[3,8,5,7,2,1,6,4]=>1101100=>108
[3,4,8,6,2,1,5,7]=>1100010=>98
[3,5,7,6,2,1,4,8]=>1100010=>98
[4,8,6,7,2,1,3,5]=>1100010=>98
[4,8,6,7,3,5,2,1]=>1110010=>114
[5,8,6,7,3,4,2,1]=>1110010=>114
[5,8,6,7,2,1,3,4]=>1100010=>98
[5,8,6,7,2,1,4,3]=>1110010=>114
[4,8,6,7,2,1,5,3]=>1110010=>114
[4,3,1,7,5,2,8,6]=>1110110=>118
[4,3,2,8,5,1,7,6]=>1110110=>118
[4,3,8,5,1,6,7,2]=>1110100=>116
[4,8,6,7,1,5,3,2]=>1110010=>114
[5,8,6,7,1,4,3,2]=>1110010=>114
[5,8,6,7,2,3,4,1]=>1100010=>98
[5,8,6,7,2,4,3,1]=>1110010=>114
[5,8,6,7,1,2,4,3]=>1010010=>82
[4,2,3,8,5,1,6,7]=>1100100=>100
[4,2,8,5,1,7,6,3]=>1110110=>118
[3,4,2,8,5,6,1,7]=>1100100=>100
[3,2,4,8,6,1,5,7]=>1100010=>98
[3,2,5,7,6,1,4,8]=>1100010=>98
[4,8,6,7,1,3,2,5]=>1100010=>98
[4,8,6,7,1,2,5,3]=>1010010=>82
[4,8,6,7,2,5,3,1]=>1110010=>114
[4,3,8,5,2,6,7,1]=>1110100=>116
[4,3,8,5,1,2,6,7]=>1010100=>84
[4,2,6,7,5,1,3,8]=>1100100=>100
[3,8,5,7,1,4,2,6]=>1100100=>100
[3,8,4,7,1,5,2,6]=>1101000=>104
[3,5,2,8,4,6,1,7]=>1101000=>104
[3,5,1,7,4,6,2,8]=>1101000=>104
[3,8,4,7,2,5,1,6]=>1101000=>104
[4,1,3,8,5,2,6,7]=>1100100=>100
[4,1,2,6,7,5,3,8]=>1010100=>84
[4,2,6,7,5,3,8,1]=>1110100=>116
[4,8,6,7,3,2,5,1]=>1110010=>114
[4,8,6,7,3,1,2,5]=>1010010=>82
[3,1,5,7,6,2,4,8]=>1100010=>98
[3,4,1,7,5,6,2,8]=>1100100=>100
[4,1,7,5,2,8,6,3]=>1110110=>118
[4,1,6,7,5,2,3,8]=>1100100=>100
[4,8,6,7,2,3,1,5]=>1100010=>98
[5,8,6,7,3,2,4,1]=>1110010=>114
[5,8,6,7,4,2,3,1]=>1101010=>106
[5,8,6,7,4,1,2,3]=>1001010=>74
[5,8,6,7,4,1,3,2]=>1101010=>106
[5,8,6,7,3,1,4,2]=>1110010=>114
[4,8,6,7,3,1,5,2]=>1110010=>114
[4,1,6,7,5,3,8,2]=>1110100=>116
[4,1,7,5,3,2,8,6]=>1110110=>118
[4,2,8,5,3,1,7,6]=>1110110=>118
[4,2,1,6,7,5,3,8]=>1110100=>116
[4,8,6,7,3,2,1,5]=>1110010=>114
[5,8,6,7,4,2,1,3]=>1101010=>106
[5,8,6,7,4,3,1,2]=>1011010=>90
[7,3,5,8,1,4,2,6]=>1110000=>112
[3,8,7,6,1,4,2,5]=>1100011=>99
[5,1,8,3,6,7,2,4]=>1110000=>112
[1,4,7,8,5,6,2,3]=>0100100=>36
[3,4,7,1,5,8,6,2]=>1100010=>98
[3,6,1,4,7,8,5,2]=>1100100=>100
[1,6,8,4,7,5,2,3]=>0101100=>44
[6,8,1,3,5,7,2,4]=>1100000=>96
[7,6,1,4,3,8,2,5]=>1110010=>114
[3,8,1,6,5,4,2,7]=>1101100=>108
[4,1,3,7,5,8,2,6]=>1100100=>100
[6,1,7,3,8,4,2,5]=>1111000=>120
[7,1,8,6,3,5,2,4]=>1110010=>114
[3,1,7,6,5,8,4,2]=>1101110=>110
[8,2,7,6,5,3,4,1]=>1110110=>118
[8,4,2,6,7,5,3,1]=>1111100=>124
[4,8,1,6,7,5,3,2]=>1110100=>116
[7,4,1,6,8,2,5,3]=>1111000=>120
[1,3,8,6,2,7,5,4]=>0101110=>46
[6,1,3,2,7,8,4,5]=>1101000=>104
[1,8,6,2,5,3,4,7]=>0110010=>50
[4,7,2,6,8,1,5,3]=>1110000=>112
[8,7,3,6,4,5,2,1]=>1111001=>121
[5,7,8,6,2,1,4,3]=>1110010=>114
[2,7,4,1,6,8,3,5]=>1011000=>88
[3,7,2,4,5,1,6,8]=>1100000=>96
[1,8,6,4,5,2,3,7]=>0101010=>42
[2,8,4,6,5,1,3,7]=>1001100=>76
[3,4,1,7,5,2,6,8]=>1100100=>100
[7,5,8,6,1,2,4,3]=>1010110=>86
[5,6,8,7,3,1,4,2]=>1110001=>113
[2,5,4,3,6,8,1,7]=>1011000=>88
[3,8,5,4,6,2,1,7]=>1101100=>108
[4,8,2,1,3,7,5,6]=>1100100=>100
[6,4,1,2,7,5,8,3]=>1011100=>92
[4,1,8,3,6,7,5,2]=>1110100=>116
[8,3,7,4,5,2,6,1]=>1111000=>120
[4,3,7,8,5,1,6,2]=>1110100=>116
[5,4,8,2,7,6,1,3]=>1101010=>106
[1,2,7,3,6,5,8,4]=>0011100=>28
[2,8,7,6,3,4,1,5]=>1010011=>83
[5,8,2,6,3,4,1,7]=>1110000=>112
[4,1,7,5,8,6,2,3]=>1100110=>102
[5,1,7,8,4,3,6,2]=>1111000=>120
[8,2,7,5,4,3,6,1]=>1111100=>124
[6,3,8,1,4,7,5,2]=>1110100=>116
[3,8,4,5,6,1,2,7]=>1001000=>72
[1,4,3,5,7,8,2,6]=>0110000=>48
[6,5,8,7,1,3,4,2]=>1100101=>101
[3,6,7,2,4,8,1,5]=>1100000=>96
[1,5,2,7,4,3,8,6]=>0111010=>58
[2,8,5,6,4,3,1,7]=>1011100=>92
[1,8,6,5,4,3,2,7]=>0111110=>62
[6,1,5,2,8,4,7,3]=>1111000=>120
[4,6,1,8,5,7,2,3]=>1100100=>100
[4,7,1,2,8,5,6,3]=>1010100=>84
[1,4,7,2,8,5,6,3]=>0110100=>52
[1,7,3,5,8,6,2,4]=>0110010=>50
[7,3,5,8,6,1,2,4]=>1010010=>82
[3,6,8,1,5,7,2,4]=>1100000=>96
[3,4,6,5,8,1,7,2]=>1100100=>100
[6,8,1,5,7,2,3,4]=>1100000=>96
[7,1,2,5,8,6,3,4]=>1010010=>82
[1,7,2,5,8,6,3,4]=>0110010=>50
[1,7,6,8,2,3,5,4]=>0101010=>42
[7,6,8,1,2,3,5,4]=>1001010=>74
[2,7,1,5,8,6,3,4]=>1010010=>82
[2,4,7,1,8,5,6,3]=>1010100=>84
[4,7,5,8,3,1,6,2]=>1110100=>116
[4,7,2,1,8,5,6,3]=>1110100=>116
[7,6,8,2,1,3,5,4]=>1101010=>106
[1,2,7,6,8,3,5,4]=>0011010=>26
[3,7,6,8,2,1,5,4]=>1101010=>106
[7,4,2,1,6,8,5,3]=>1111100=>124
[6,7,4,1,8,5,3,2]=>1111100=>124
[6,7,4,3,1,8,5,2]=>1111100=>124
[2,7,4,1,6,8,5,3]=>1011100=>92
[2,3,7,6,8,1,5,4]=>1001010=>74
[7,4,2,6,8,5,1,3]=>1101100=>108
[7,3,2,5,8,6,1,4]=>1110010=>114
[3,1,7,6,8,2,5,4]=>1101010=>106
[3,7,6,8,1,2,5,4]=>1001010=>74
[1,3,7,6,8,2,5,4]=>0101010=>42
[1,7,4,2,6,8,5,3]=>0111100=>60
[7,4,1,2,6,8,5,3]=>1011100=>92
[7,1,4,2,8,5,6,3]=>1110100=>116
[7,1,8,2,5,4,6,3]=>1111000=>120
[7,3,8,4,6,1,5,2]=>1111000=>120
[7,2,8,1,6,4,5,3]=>1111000=>120
[7,1,6,8,5,4,2,3]=>1101100=>108
[7,1,2,6,8,5,4,3]=>1011100=>92
[1,7,2,6,8,5,4,3]=>0111100=>60
[1,7,6,8,3,2,5,4]=>0111010=>58
[7,6,8,3,1,2,5,4]=>1011010=>90
[7,1,5,8,6,3,2,4]=>1110010=>114
[7,2,5,8,6,3,1,4]=>1110010=>114
[3,6,7,1,8,5,4,2]=>1101100=>108
[7,2,6,8,5,4,1,3]=>1101100=>108
[7,6,8,2,3,1,5,4]=>1101010=>106
[2,7,6,8,3,1,5,4]=>1011010=>90
[2,7,1,6,8,5,4,3]=>1011100=>92
[6,7,3,1,8,5,4,2]=>1111100=>124
[6,7,1,8,5,4,3,2]=>1111100=>124
[7,2,1,6,8,5,4,3]=>1111100=>124
[7,6,8,3,2,1,5,4]=>1111010=>122
[4,7,8,5,6,1,3,2]=>1100100=>100
[4,6,5,8,7,1,3,2]=>1100101=>101
[5,6,4,8,1,2,7,3]=>1011000=>88
[8,1,5,6,7,2,4,3]=>1110000=>112
[6,4,5,1,8,2,7,3]=>1111000=>120
[5,4,6,7,1,2,8,3]=>1011000=>88
[4,3,6,7,2,1,5,8]=>1110000=>112
[5,3,6,7,1,4,2,8]=>1110000=>112
[8,1,4,6,7,3,2,5]=>1110000=>112
[8,1,3,6,7,4,5,2]=>1101000=>104
[7,2,1,6,8,4,5,3]=>1111000=>120
[5,2,6,7,1,4,8,3]=>1110000=>112
[4,2,6,7,3,1,8,5]=>1110100=>116
[6,2,4,1,5,8,7,3]=>1110001=>113
[7,2,1,5,4,8,6,3]=>1111010=>122
[8,1,4,5,3,7,2,6]=>1110000=>112
[7,3,1,5,4,8,2,6]=>1111000=>120
[6,3,4,1,5,8,2,7]=>1110000=>112
[5,3,4,2,1,8,6,7]=>1110010=>114
[4,3,5,2,7,1,6,8]=>1110000=>112
[5,6,3,8,1,4,2,7]=>1110000=>112
[8,1,7,2,4,5,6,3]=>1110000=>112
[7,6,1,2,4,5,8,3]=>1010010=>82
[4,7,8,2,3,1,6,5]=>1100100=>100
[5,6,2,8,1,4,7,3]=>1110000=>112
[6,5,2,1,3,7,8,4]=>1101100=>108
[7,5,1,3,2,6,8,4]=>1101100=>108
[8,1,6,3,2,5,7,4]=>1111000=>120
[7,4,1,3,5,2,8,6]=>1101010=>106
[5,4,2,3,1,6,8,7]=>1101001=>105
[7,3,1,4,5,6,2,8]=>1110000=>112
[8,1,4,3,5,6,2,7]=>1110000=>112
[6,2,3,1,5,7,8,4]=>1101000=>104
[7,8,4,2,1,6,5,3]=>1111100=>124
[7,8,4,2,1,5,6,3]=>1111000=>120
[6,2,3,4,8,7,1,5]=>1100001=>97
[6,2,3,4,7,8,1,5]=>1100000=>96
[7,8,3,4,6,2,1,5]=>1110000=>112
[7,8,3,6,4,2,1,5]=>1111000=>120
[7,8,3,5,6,2,1,4]=>1110000=>112
[6,2,3,8,7,5,1,4]=>1100101=>101
[6,2,3,7,8,5,1,4]=>1100100=>100
[5,2,6,3,8,1,7,4]=>1111000=>120
[6,3,2,5,8,7,1,4]=>1110001=>113
[6,3,2,8,4,7,1,5]=>1111000=>120
[6,4,3,8,7,5,1,2]=>1011101=>93
[6,4,3,7,8,5,1,2]=>1011100=>92
[6,2,4,1,7,3,5,8]=>1110000=>112
[6,3,2,7,4,8,1,5]=>1111000=>120
[6,3,2,5,7,8,1,4]=>1110000=>112
[5,7,2,3,6,1,8,4]=>1101000=>104
[5,8,2,3,6,1,7,4]=>1101000=>104
[4,7,5,8,3,2,1,6]=>1110100=>116
[4,5,6,8,3,2,1,7]=>1110000=>112
[4,6,8,5,3,2,1,7]=>1110100=>116
[5,6,1,4,2,3,7,8]=>1100000=>96
[5,6,8,4,3,7,1,2]=>1011000=>88
[5,6,1,4,2,3,8,7]=>1100001=>97
[5,2,8,3,4,1,7,6]=>1110010=>114
[4,5,8,6,3,2,1,7]=>1110010=>114
[4,6,5,8,3,2,1,7]=>1110100=>116
[4,7,5,6,3,2,1,8]=>1110100=>116
[6,2,3,4,5,8,1,7]=>1100000=>96
[5,1,4,3,6,2,8,7]=>1110001=>113
[5,1,4,3,7,2,8,6]=>1110010=>114
[5,1,4,3,8,2,7,6]=>1110010=>114
[5,6,2,4,1,7,8,3]=>1110000=>112
[5,6,2,4,1,8,7,3]=>1110001=>113
[5,7,2,4,1,8,6,3]=>1110010=>114
[6,1,4,2,8,7,5,3]=>1110101=>117
[6,1,4,2,7,8,5,3]=>1110100=>116
[5,8,2,4,1,7,6,3]=>1110010=>114
[5,2,7,4,1,6,8,3]=>1111000=>120
[5,4,1,3,7,2,6,8]=>1101000=>104
[5,1,4,3,6,2,7,8]=>1110000=>112
[5,8,6,4,3,7,1,2]=>1011010=>90
[5,8,1,4,2,3,7,6]=>1100010=>98
[5,1,6,3,4,2,7,8]=>1110000=>112
[4,8,6,5,3,2,1,7]=>1110110=>118
[4,8,5,6,3,2,1,7]=>1110100=>116
[5,4,7,8,3,2,1,6]=>1111000=>120
[5,4,8,7,3,2,1,6]=>1111001=>121
[4,6,8,7,3,2,1,5]=>1110001=>113
[4,6,7,8,3,2,1,5]=>1110000=>112
[4,7,6,8,3,2,1,5]=>1110010=>114
[4,7,8,5,3,2,1,6]=>1110100=>116
[5,7,1,3,4,2,6,8]=>1100000=>96
[5,1,8,4,2,3,6,7]=>1101000=>104
[5,1,7,4,2,3,6,8]=>1101000=>104
[5,8,1,3,4,2,6,7]=>1100000=>96
[4,8,7,5,3,2,1,6]=>1110101=>117
[4,7,8,6,3,2,1,5]=>1110010=>114
[4,8,7,6,3,2,1,5]=>1110011=>115
[4,8,2,6,3,7,5,1]=>1110100=>116
[4,8,2,3,6,7,5,1]=>1100100=>100
[4,8,3,1,6,7,5,2]=>1110100=>116
[4,3,8,1,6,2,5,7]=>1110000=>112
[1,4,8,7,3,5,2,6]=>0110001=>49
[4,3,8,7,2,5,1,6]=>1110001=>113
[5,8,4,3,7,1,6,2]=>1111000=>120
[5,8,1,4,7,2,6,3]=>1110000=>112
[5,8,1,7,4,2,3,6]=>1101000=>104
[6,8,1,2,4,3,5,7]=>1010000=>80
[5,8,7,1,3,4,2,6]=>1100001=>97
[4,8,7,6,3,1,2,5]=>1010011=>83
[5,8,4,7,3,1,2,6]=>1011000=>88
[4,3,8,2,7,5,6,1]=>1110100=>116
[1,4,8,3,7,5,6,2]=>0110100=>52
[1,4,3,8,2,6,5,7]=>0110100=>52
[4,3,2,8,1,6,5,7]=>1110100=>116
[4,1,3,8,2,6,5,7]=>1100100=>100
[4,1,8,3,7,5,6,2]=>1110100=>116
[4,1,8,7,3,5,2,6]=>1110001=>113
[3,7,8,1,5,4,2,6]=>1101000=>104
[7,3,8,1,5,4,6,2]=>1111000=>120
[3,4,8,1,6,2,5,7]=>1100000=>96
[3,4,8,7,2,5,1,6]=>1100001=>97
[3,4,8,2,7,5,6,1]=>1100100=>100
[1,2,4,8,3,6,5,7]=>0010100=>20
[1,2,4,3,8,6,5,7]=>0010110=>22
[3,4,2,1,8,6,5,7]=>1100110=>102
[3,4,1,8,2,6,5,7]=>1100100=>100
[3,6,7,8,4,1,2,5]=>1001000=>72
[4,1,7,8,5,3,2,6]=>1110100=>116
[4,1,2,8,3,6,5,7]=>1010100=>84
[1,4,3,2,8,6,5,7]=>0110110=>54
[4,2,3,1,8,6,5,7]=>1100110=>102
[3,7,6,8,4,2,1,5]=>1101010=>106
[4,7,1,8,5,2,3,6]=>1100100=>100
[2,6,8,7,4,3,1,5]=>1011001=>89
[3,7,8,6,2,4,1,5]=>1100010=>98
[3,7,8,2,6,4,5,1]=>1101000=>104
[4,2,3,8,1,6,5,7]=>1100100=>100
[4,3,1,8,2,6,5,7]=>1110100=>116
[1,4,7,8,5,3,2,6]=>0110100=>52
[4,3,7,8,5,2,1,6]=>1110100=>116
[3,7,2,8,4,6,5,1]=>1101100=>108
[4,2,8,6,3,1,5,7]=>1110010=>114
[2,6,8,4,7,3,1,5]=>1011000=>88
[2,4,8,6,3,1,5,7]=>1010010=>82
[7,3,6,8,4,2,1,5]=>1111000=>120
[7,6,2,8,3,5,4,1]=>1111010=>122
[1,7,3,8,4,6,5,2]=>0111100=>60
[1,3,4,8,2,6,5,7]=>0100100=>36
[3,2,4,8,1,6,5,7]=>1100100=>100
[7,3,8,6,2,4,1,5]=>1110010=>114
[7,3,8,2,6,4,5,1]=>1111000=>120
[2,4,8,3,6,1,5,7]=>1010000=>80
[6,2,8,7,4,3,5,1]=>1111001=>121
[7,4,1,8,5,2,6,3]=>1111100=>124
[7,3,2,8,4,6,5,1]=>1111100=>124
[2,4,3,1,8,6,5,7]=>1010110=>86
[1,3,4,2,8,6,5,7]=>0100110=>38
[1,3,2,4,8,6,5,7]=>0100110=>38
[3,2,1,4,8,6,5,7]=>1100110=>102
[3,1,2,4,8,6,5,7]=>1000110=>70
[3,1,4,2,8,6,5,7]=>1100110=>102
[3,1,4,8,2,6,5,7]=>1100100=>100
[7,3,4,8,5,1,6,2]=>1110100=>116
[3,7,4,8,5,1,2,6]=>1001100=>76
[6,7,2,8,3,5,4,1]=>1111000=>120
[2,3,1,4,8,6,5,7]=>1000110=>70
[2,1,3,4,8,6,5,7]=>1000110=>70
[1,2,3,4,8,6,5,7]=>0000110=>6
[4,8,3,6,2,1,5,7]=>1110000=>112
[3,5,8,2,6,1,4,7]=>1100000=>96
[3,6,5,8,2,4,1,7]=>1100100=>100
[5,3,8,7,2,4,6,1]=>1110001=>113
[2,8,4,5,7,3,6,1]=>1011000=>88
[2,4,5,7,3,8,1,6]=>1010000=>80
[6,2,4,5,8,3,1,7]=>1110000=>112
[4,8,1,2,5,6,3,7]=>1010000=>80
[8,1,3,5,2,6,4,7]=>1101000=>104
[5,2,1,6,3,8,4,7]=>1111000=>120
[6,2,5,1,8,4,3,7]=>1111000=>120
[3,6,1,5,8,4,2,7]=>1101000=>104
[6,1,4,5,8,3,2,7]=>1110000=>112
[5,6,4,8,1,3,2,7]=>1101000=>104
[6,5,4,3,8,2,1,7]=>1111100=>124
[5,4,3,7,2,8,1,6]=>1111000=>120
[5,8,4,3,7,2,6,1]=>1111000=>120
[4,6,8,3,7,2,5,1]=>1110000=>112
[7,4,6,3,2,8,1,5]=>1111000=>120
[1,4,3,6,2,7,8,5]=>0110100=>52
[1,5,4,3,7,2,8,6]=>0111010=>58
[4,7,8,5,3,1,2,6]=>1010100=>84
[5,7,3,4,1,2,8,6]=>1010010=>82
[8,5,4,7,6,2,1,3]=>1101110=>110
[8,5,7,4,3,6,1,2]=>1011100=>92
[4,3,8,1,6,7,5,2]=>1110100=>116
[4,7,8,3,6,1,5,2]=>1110000=>112
[5,3,8,6,7,4,1,2]=>1011010=>90
[1,3,8,6,4,7,5,2]=>0101110=>46
[8,6,2,7,4,1,5,3]=>1111010=>122
[7,6,2,1,4,3,8,5]=>1110110=>118
[7,6,1,3,4,2,8,5]=>1100110=>102
[1,5,7,3,2,6,8,4]=>0111000=>56
[1,6,7,3,2,5,8,4]=>0111000=>56
[3,2,6,8,5,7,4,1]=>1101100=>108
[5,8,2,3,6,7,4,1]=>1101000=>104
[7,5,2,3,1,6,8,4]=>1101100=>108
[1,6,4,7,2,3,8,5]=>0101100=>44
[3,1,7,5,2,8,4,6]=>1101100=>108
[2,5,7,4,1,8,3,6]=>1011000=>88
[4,2,6,1,7,8,3,5]=>1110000=>112
[4,2,7,6,3,8,1,5]=>1110010=>114
[6,4,8,7,2,3,5,1]=>1101001=>105
[3,2,6,8,7,4,5,1]=>1101001=>105
[3,2,7,4,1,6,8,5]=>1101100=>108
[6,3,2,1,7,8,4,5]=>1111000=>120
[3,7,1,8,4,2,5,6]=>1101000=>104
[4,2,1,3,7,5,8,6]=>1100110=>102
[8,1,3,7,4,2,6,5]=>1101100=>108
[8,4,3,7,6,2,1,5]=>1111010=>122
[8,3,5,2,7,6,1,4]=>1110010=>114
[3,6,2,8,7,1,5,4]=>1101001=>105
[7,3,2,8,1,6,5,4]=>1111100=>124
[3,8,7,2,6,5,4,1]=>1101101=>109
[4,2,7,8,6,1,5,3]=>1110010=>114
[6,8,2,4,7,1,5,3]=>1110000=>112
[5,2,1,8,7,3,6,4]=>1111001=>121
[8,2,1,6,3,7,5,4]=>1111100=>124
[6,8,3,1,7,5,2,4]=>1110100=>116
[5,8,1,6,7,2,4,3]=>1110000=>112
[6,2,8,1,5,7,4,3]=>1111000=>120
[5,7,8,2,6,1,4,3]=>1110000=>112
[8,7,2,5,6,4,3,1]=>1111001=>121
[8,6,7,5,2,4,3,1]=>1110110=>118
[7,2,6,8,1,5,4,3]=>1111000=>120
[1,2,7,8,5,6,4,3]=>0011100=>28
[7,4,8,1,6,2,5,3]=>1111000=>120
[3,7,1,8,2,6,5,4]=>1101100=>108
[2,1,7,3,8,6,5,4]=>1011110=>94
[8,2,1,7,6,5,4,3]=>1111110=>126
[8,1,4,7,6,5,3,2]=>1110110=>118
[8,6,7,5,1,4,3,2]=>1110110=>118
[7,8,6,5,4,1,3,2]=>1101110=>110
[5,8,4,3,2,1,6,7]=>1111000=>120
[6,4,7,3,2,1,8,5]=>1111100=>124
[5,4,7,3,2,1,6,8]=>1111000=>120
[6,5,3,7,2,1,4,8]=>1110100=>116
[5,8,3,6,2,1,4,7]=>1110000=>112
[6,3,7,8,2,1,4,5]=>1110000=>112
[5,3,7,6,2,1,4,8]=>1110010=>114
[3,8,7,6,2,1,4,5]=>1100011=>99
[5,8,4,2,6,1,3,7]=>1101000=>104
[4,8,7,2,5,1,3,6]=>1100001=>97
[5,8,3,2,6,1,4,7]=>1110000=>112
[4,8,3,2,5,1,7,6]=>1110010=>114
[4,3,7,2,5,1,8,6]=>1110010=>114
[3,8,7,2,5,1,4,6]=>1100001=>97
[6,4,2,7,5,1,3,8]=>1101100=>108
[6,3,2,7,5,1,4,8]=>1110100=>116
[5,3,2,6,7,1,4,8]=>1110000=>112
[3,8,2,6,5,1,4,7]=>1100100=>100
[6,2,7,8,5,1,3,4]=>1100100=>100
[5,2,7,6,8,1,3,4]=>1100010=>98
[4,2,7,6,5,1,3,8]=>1100110=>102
[2,8,7,6,5,1,3,4]=>1000111=>71
[6,5,4,3,1,7,8,2]=>1111100=>124
[6,4,7,3,1,5,8,2]=>1111000=>120
[5,4,7,3,1,8,6,2]=>1111010=>122
[6,4,3,7,1,5,8,2]=>1111000=>120
[5,4,3,6,1,8,7,2]=>1111001=>121
[6,3,7,8,1,4,5,2]=>1110000=>112
[5,3,7,6,1,4,8,2]=>1110010=>114
[4,3,7,6,1,5,8,2]=>1110010=>114
[3,8,7,6,1,4,5,2]=>1100011=>99
[6,5,4,2,1,7,3,8]=>1111100=>124
[6,4,7,2,1,5,3,8]=>1111000=>120
[4,8,7,2,1,5,3,6]=>1110001=>113
[5,8,3,2,1,4,7,6]=>1110010=>114
[4,8,3,2,1,5,7,6]=>1110010=>114
[5,3,7,2,1,4,8,6]=>1110010=>114
[3,8,7,2,1,4,5,6]=>1100001=>97
[6,5,2,7,1,4,3,8]=>1110100=>116
[5,8,2,6,1,4,3,7]=>1110000=>112
[6,4,2,7,1,5,3,8]=>1111000=>120
[5,4,2,6,1,8,3,7]=>1111000=>120
[4,3,2,6,1,5,8,7]=>1110001=>113
[6,2,7,8,1,4,3,5]=>1110000=>112
[4,2,7,6,1,5,3,8]=>1110010=>114
[3,2,7,6,1,4,5,8]=>1100010=>98
[6,5,4,1,8,7,3,2]=>1111101=>125
[5,8,4,1,6,7,3,2]=>1111000=>120
[6,4,7,1,5,8,3,2]=>1111000=>120
[5,4,7,1,6,8,3,2]=>1111000=>120
[4,8,7,1,5,6,3,2]=>1110001=>113
[5,4,3,1,6,8,7,2]=>1111001=>121
[4,8,3,1,5,6,7,2]=>1110000=>112
[3,8,7,1,5,4,6,2]=>1101001=>105
[5,8,2,1,6,4,3,7]=>1111000=>120
[6,3,2,1,5,4,8,7]=>1111001=>121
[5,3,2,1,6,4,8,7]=>1111001=>121
[3,8,2,1,5,4,6,7]=>1101000=>104
[6,2,7,1,5,4,3,8]=>1111000=>120
[5,2,7,1,6,4,3,8]=>1111000=>120
[4,2,7,1,5,6,3,8]=>1110000=>112
[3,2,7,1,5,4,6,8]=>1101000=>104
[2,8,7,1,5,4,3,6]=>1011001=>89
[6,5,1,7,8,4,3,2]=>1111100=>124
[5,8,1,6,7,4,3,2]=>1111000=>120
[6,4,1,7,5,8,3,2]=>1111100=>124
[5,4,1,6,7,8,3,2]=>1111000=>120
[4,8,1,6,5,7,3,2]=>1110100=>116
[6,3,1,7,5,4,8,2]=>1111100=>124
[5,3,1,6,7,4,8,2]=>1111000=>120
[4,3,1,6,5,7,8,2]=>1110100=>116
[3,8,1,6,5,4,7,2]=>1101100=>108
[5,2,1,6,7,4,3,8]=>1111000=>120
[4,2,1,6,5,7,3,8]=>1110100=>116
[2,8,1,6,5,4,3,7]=>1011100=>92
[6,1,7,8,5,4,3,2]=>1111100=>124
[4,1,7,6,5,8,3,2]=>1110110=>118
[3,1,7,6,5,4,8,2]=>1101110=>110
[4,5,8,1,2,6,3,7]=>1010000=>80
[1,4,5,7,2,6,3,8]=>0110000=>48
[1,7,3,5,6,2,4,8]=>0110000=>48
[8,1,3,5,7,2,4,6]=>1100000=>96
[3,6,8,1,7,2,4,5]=>1100000=>96
[3,4,5,6,8,1,7,2]=>1100000=>96
[4,5,8,2,6,7,1,3]=>1100000=>96
[8,2,3,5,6,7,1,4]=>1100000=>96
[1,7,2,3,5,4,6,8]=>0101000=>40
[8,1,2,3,5,4,6,7]=>1001000=>72
[2,7,8,1,3,5,4,6]=>1001000=>72
[2,7,8,3,5,6,1,4]=>1010000=>80
[2,4,5,7,8,1,6,3]=>1010000=>80
[4,5,8,1,7,6,3,2]=>1110010=>114
[4,5,8,7,2,1,6,3]=>1110001=>113
[8,7,3,5,6,2,1,4]=>1110001=>113
[8,7,2,1,3,5,4,6]=>1101001=>105
[3,6,8,7,2,1,5,4]=>1101001=>105
[8,6,4,1,7,5,3,2]=>1111110=>126
[7,6,4,3,1,8,5,2]=>1111110=>126
[2,3,6,7,8,1,5,4]=>1001000=>72
[3,6,8,1,2,5,4,7]=>1001000=>72
[1,3,6,7,2,5,4,8]=>0101000=>40
[7,4,1,8,5,2,3,6]=>1101100=>108
[7,1,4,2,8,3,6,5]=>1110100=>116
[7,1,8,2,5,3,6,4]=>1111000=>120
[8,1,7,5,4,2,3,6]=>1101100=>108
[1,7,2,6,5,4,3,8]=>0111100=>60
[1,7,6,3,2,5,4,8]=>0111010=>58
[8,6,3,1,2,5,4,7]=>1011010=>90
[8,1,7,6,3,2,4,5]=>1110010=>114
[8,2,5,7,6,3,1,4]=>1110010=>114
[3,6,8,1,7,5,4,2]=>1101100=>108
[8,2,6,7,5,4,1,3]=>1101100=>108
[2,7,8,6,3,1,5,4]=>1011010=>90
[2,7,8,1,6,5,4,3]=>1011100=>92
[7,3,1,8,6,5,4,2]=>1111110=>126
[8,7,2,1,6,5,4,3]=>1111101=>125
[8,7,6,3,2,1,5,4]=>1111011=>123
[2,1,8,6,3,7,4,5]=>1011010=>90
[8,6,1,5,2,7,4,3]=>1111010=>122
[8,5,1,7,4,2,6,3]=>1111100=>124
[2,1,7,5,4,3,8,6]=>1011110=>94
[2,1,7,8,3,6,5,4]=>1011100=>92
[2,1,4,8,5,7,3,6]=>1010100=>84
[8,5,3,1,6,2,4,7]=>1110100=>116
[6,4,1,5,2,3,8,7]=>1101001=>105
[8,3,7,5,2,6,1,4]=>1110100=>116
[5,3,7,4,6,8,1,2]=>1011000=>88
[5,8,3,7,6,2,1,4]=>1110010=>114
[4,2,6,3,8,5,1,7]=>1110100=>116
[3,8,2,4,7,5,1,6]=>1100100=>100
[5,8,2,1,7,6,4,3]=>1111010=>122
[8,3,2,4,1,7,5,6]=>1110100=>116
[7,8,3,1,5,4,6,2]=>1111000=>120
[7,2,8,1,4,6,5,3]=>1110100=>116
[6,2,3,1,4,5,8,7]=>1100001=>97
[5,6,1,4,3,2,8,7]=>1110001=>113
[5,7,1,8,3,6,2,4]=>1110000=>112
[6,8,1,4,5,3,2,7]=>1110000=>112
[8,2,6,1,4,7,3,5]=>1110000=>112
[8,3,5,6,1,7,4,2]=>1111000=>120
[6,3,5,4,1,2,8,7]=>1011001=>89
[8,7,3,6,5,1,4,2]=>1110101=>117
[2,7,4,3,6,1,8,5]=>1011100=>92
[3,4,7,2,8,1,5,6]=>1100000=>96
[4,2,3,5,8,1,6,7]=>1100000=>96
[3,8,4,7,1,6,5,2]=>1101100=>108
[3,2,4,6,1,5,8,7]=>1100001=>97
[8,3,4,5,7,6,1,2]=>1010010=>82
[3,2,4,5,6,8,1,7]=>1100000=>96
[5,6,8,1,4,2,7,3]=>1110000=>112
[1,5,7,8,4,6,2,3]=>0101000=>40
[1,3,5,7,8,6,2,4]=>0100010=>34
[3,5,7,8,6,1,2,4]=>1000010=>66
[3,5,1,6,8,2,7,4]=>1101000=>104
[3,1,5,6,8,2,7,4]=>1101000=>104
[2,3,5,6,8,1,7,4]=>1001000=>72
[5,6,4,8,2,1,7,3]=>1111000=>120
[5,1,6,3,8,4,7,2]=>1111000=>120
[2,5,1,6,8,3,7,4]=>1011000=>88
[5,1,2,6,8,3,7,4]=>1011000=>88
[5,7,1,8,6,2,3,4]=>1100010=>98
[1,5,2,7,8,6,3,4]=>0110010=>50
[1,6,7,5,2,8,3,4]=>0110100=>52
[6,1,7,5,2,8,3,4]=>1110100=>116
[2,6,7,5,1,8,3,4]=>1010100=>84
[5,7,2,8,6,1,3,4]=>1100010=>98
[3,5,7,8,6,2,1,4]=>1100010=>98
[5,1,7,8,6,3,4,2]=>1110010=>114
[5,1,3,7,8,6,4,2]=>1101010=>106
[5,2,7,8,4,6,1,3]=>1101000=>104
[3,2,5,7,8,6,1,4]=>1100010=>98
[6,2,7,5,1,8,3,4]=>1110100=>116
[1,2,6,7,5,8,3,4]=>0010100=>20
[6,2,7,5,4,1,8,3]=>1111100=>124
[6,7,5,2,4,1,8,3]=>1110100=>116
[6,7,2,5,3,8,1,4]=>1110000=>112
[6,7,4,5,2,1,8,3]=>1111000=>120
[5,1,7,8,6,4,3,2]=>1111010=>122
[2,5,7,8,6,3,1,4]=>1010010=>82
[5,1,7,8,6,3,2,4]=>1110010=>114
[6,3,7,5,1,8,2,4]=>1110100=>116
[1,6,7,5,3,8,2,4]=>0110100=>52
[1,6,7,5,4,2,8,3]=>0111100=>60
[6,7,5,1,4,2,8,3]=>1110100=>116
[5,7,8,6,4,1,2,3]=>1001010=>74
[4,1,7,2,6,5,8,3]=>1110100=>116
[2,4,7,1,5,6,8,3]=>1010000=>80
[6,7,4,1,5,2,8,3]=>1111000=>120
[1,6,7,4,5,2,8,3]=>0111000=>56
[1,6,3,7,5,8,2,4]=>0110100=>52
[6,3,1,7,5,8,2,4]=>1110100=>116
[2,5,3,7,8,6,1,4]=>1010010=>82
[6,7,5,4,2,1,8,3]=>1111100=>124
[6,3,2,7,5,8,1,4]=>1110100=>116
[6,7,4,2,5,1,8,3]=>1111000=>120
[6,2,7,4,5,1,8,3]=>1111000=>120
[6,2,3,7,5,8,1,4]=>1100100=>100
[4,5,1,6,3,2,8,7]=>1110001=>113
[7,5,1,6,3,8,2,4]=>1110100=>116
[7,5,1,6,3,8,4,2]=>1111100=>124
[2,7,6,1,3,8,4,5]=>1001010=>74
[2,7,6,1,3,8,5,4]=>1001110=>78
[7,3,5,1,8,2,6,4]=>1111000=>120
[7,3,5,1,8,2,4,6]=>1110000=>112
[3,7,5,1,8,6,2,4]=>1100110=>102
[2,6,7,1,5,8,3,4]=>1010000=>80
[2,6,7,4,1,8,3,5]=>1011000=>88
[2,1,6,7,3,8,5,4]=>1011100=>92
[2,6,7,4,1,8,5,3]=>1011100=>92
[2,6,7,1,5,8,4,3]=>1011000=>88
[3,6,5,1,8,4,7,2]=>1101100=>108
[3,6,5,1,8,4,2,7]=>1101100=>108
[3,7,5,4,8,1,6,2]=>1101100=>108
[3,7,5,4,8,1,2,6]=>1001100=>76
[4,6,1,5,8,7,3,2]=>1110001=>113
[4,6,1,5,8,7,2,3]=>1100001=>97
[4,6,1,5,8,2,7,3]=>1110000=>112
[7,5,1,6,2,8,3,4]=>1110100=>116
[7,5,1,6,2,8,4,3]=>1111100=>124
[4,6,1,5,8,2,3,7]=>1100000=>96
[4,7,1,5,8,3,6,2]=>1110000=>112
[2,3,4,7,8,1,6,5]=>1000100=>68
[6,8,5,4,3,2,7,1]=>1111100=>124
[7,9,6,5,4,3,2,8,1]=>11111100=>252
[8,9,6,5,4,3,2,1,7]=>11111100=>252
[6,8,5,4,3,7,2,1]=>1111100=>124
[5,8,4,3,2,1,7,6]=>1111010=>122
[6,5,4,3,1,8,7,2]=>1111101=>125
[8,7,6,5,4,3,9,1,2]=>10111110=>190
[8,7,5,4,3,1,6,2]=>1111101=>125
[9,7,6,5,4,3,1,8,2]=>11111110=>254
[8,3,4,6,2,1,5,7]=>1110000=>112
[3,5,6,2,1,8,4,7]=>1101000=>104
[3,5,2,6,8,4,1,7]=>1101000=>104
[7,5,3,2,8,4,1,6]=>1111100=>124
[7,5,3,2,8,4,6,1]=>1111100=>124
[2,4,5,7,3,8,6,1]=>1010010=>82
[4,2,5,6,8,3,1,7]=>1110000=>112
[4,2,8,1,5,6,3,7]=>1110000=>112
[2,5,6,1,8,4,3,7]=>1011000=>88
[5,3,6,8,1,4,2,7]=>1110000=>112
[4,5,6,8,1,3,2,7]=>1100000=>96
[1,4,5,6,8,3,2,7]=>0110000=>48
[4,5,6,3,8,2,1,7]=>1110000=>112
[4,5,3,7,2,8,6,1]=>1110010=>114
[6,4,7,3,2,8,5,1]=>1111100=>124
[6,1,4,7,3,2,8,5]=>1110100=>116
[1,7,8,4,5,3,2,6]=>0111000=>56
[5,1,7,3,8,4,2,6]=>1111000=>120
[2,5,1,7,4,3,8,6]=>1011010=>90
[2,5,7,4,1,8,6,3]=>1011010=>90
[5,3,7,1,4,8,6,2]=>1110010=>114
[6,4,3,1,7,8,5,2]=>1111100=>124
[6,4,1,7,3,8,5,2]=>1111100=>124
[5,6,3,7,8,4,2,1]=>1111000=>120
[5,1,6,3,7,8,4,2]=>1111000=>120
[5,6,1,3,7,8,4,2]=>1101000=>104
[5,6,1,7,8,3,4,2]=>1110000=>112
[1,6,3,7,4,8,5,2]=>0111100=>60
[6,7,2,4,1,8,5,3]=>1110100=>116
[6,7,2,1,4,3,8,5]=>1110100=>116
[6,4,7,3,1,2,8,5]=>1011100=>92
[5,6,3,1,2,7,8,4]=>1011000=>88
[5,6,1,3,2,7,8,4]=>1101000=>104
[5,6,3,2,1,7,8,4]=>1111000=>120
[2,5,6,3,7,8,4,1]=>1011000=>88
[2,5,6,3,1,7,8,4]=>1011000=>88
[2,6,4,7,3,1,8,5]=>1011100=>92
[6,3,7,2,8,4,5,1]=>1111000=>120
[6,3,7,2,8,4,1,5]=>1111000=>120
[6,3,2,7,1,8,4,5]=>1111000=>120
[7,5,3,2,1,8,4,6]=>1111100=>124
[7,3,8,4,2,1,5,6]=>1111000=>120
[4,7,2,1,3,8,6,5]=>1100110=>102
[1,3,7,8,6,4,2,5]=>0101010=>42
[7,3,8,4,6,2,1,5]=>1111000=>120
[5,7,3,8,2,1,6,4]=>1111000=>120
[6,3,7,8,5,2,1,4]=>1110100=>116
[4,6,2,7,8,5,3,1]=>1110100=>116
[4,6,2,1,7,8,5,3]=>1110100=>116
[7,4,5,8,1,2,6,3]=>1011000=>88
[2,5,1,7,3,8,6,4]=>1011010=>90
[6,7,2,1,3,8,5,4]=>1101100=>108
[5,1,6,7,8,2,4,3]=>1110000=>112
[6,3,7,1,8,5,2,4]=>1110100=>116
[6,2,1,7,3,8,5,4]=>1111100=>124
[6,2,7,1,8,5,4,3]=>1111100=>124
[6,3,1,7,8,5,4,2]=>1111100=>124
[4,1,3,6,8,2,5,7]=>1100000=>96
[4,2,3,6,8,1,5,7]=>1100000=>96
[5,3,2,1,8,4,7,6]=>1111010=>122
[3,6,5,8,2,1,7,4]=>1101100=>108
[4,5,2,1,3,8,7,6]=>1100011=>99
[3,2,6,4,5,8,1,7]=>1101000=>104
[2,4,6,5,8,1,3,7]=>1000100=>68
[1,6,2,4,5,8,3,7]=>0110000=>48
[5,3,2,1,6,8,4,7]=>1111000=>120
[6,2,4,5,8,1,3,7]=>1100000=>96
[1,3,4,6,5,8,2,7]=>0100100=>36
[1,6,3,4,5,8,2,7]=>0110000=>48
[3,4,1,8,5,2,7,6]=>1100110=>102
[2,8,4,1,7,6,3,5]=>1011010=>90
[8,1,4,2,7,3,6,5]=>1110100=>116
[1,5,3,2,8,7,4,6]=>0111001=>57
[8,2,1,7,5,3,4,6]=>1110100=>116
[1,7,6,4,5,8,3,2]=>0111010=>58
[5,8,7,4,1,2,6,3]=>1011001=>89
[5,8,7,4,6,2,1,3]=>1101001=>105
[3,4,2,5,8,6,7,1]=>1100010=>98
[4,1,3,5,6,8,7,2]=>1100001=>97
[2,4,8,6,7,1,3,5]=>1000010=>66
[4,3,6,2,8,1,7,5]=>1110100=>116
[3,7,4,8,2,1,6,5]=>1101100=>108
[2,3,5,8,6,7,1,4]=>1000010=>66
[3,2,5,6,8,7,1,4]=>1100001=>97
[2,1,8,5,6,7,3,4]=>1010100=>84
[1,2,8,3,5,6,7,4]=>0011000=>24
[4,2,3,7,1,8,6,5]=>1100110=>102
[3,2,6,4,8,1,7,5]=>1101100=>108
[8,2,1,6,7,3,4,5]=>1110000=>112
[2,7,8,5,4,1,3,6]=>1001100=>76
[1,7,5,3,8,4,2,6]=>0111100=>60
[4,7,5,3,1,2,8,6]=>1010110=>86
[7,2,4,8,5,3,1,6]=>1110100=>116
[4,8,3,1,2,7,6,5]=>1010110=>86
[3,5,2,7,4,1,8,6]=>1101010=>106
[8,4,2,3,7,1,5,6]=>1101000=>104
[2,8,4,7,1,3,5,6]=>1001000=>72
[8,2,4,6,7,1,3,5]=>1100000=>96
[4,8,2,3,6,7,1,5]=>1100000=>96
[3,5,2,7,6,1,8,4]=>1101010=>106
[1,6,3,2,5,8,7,4]=>0111001=>57
[5,8,3,2,1,6,7,4]=>1111000=>120
[5,8,7,3,4,6,2,1]=>1110001=>113
[5,8,2,7,4,1,6,3]=>1111000=>120
[5,1,4,2,8,7,6,3]=>1110011=>115
[4,7,6,5,8,2,1,3]=>1100110=>102
[5,3,7,1,6,2,8,4]=>1111000=>120
[5,2,6,8,7,1,3,4]=>1100001=>97
[6,3,2,1,8,5,7,4]=>1111100=>124
[2,7,5,4,1,8,6,3]=>1011110=>94
[4,2,5,6,8,7,1,3]=>1100001=>97
[1,8,4,2,5,6,7,3]=>0111000=>56
[3,8,4,1,5,6,7,2]=>1101000=>104
[4,2,8,5,6,7,1,3]=>1100100=>100
[5,2,4,7,1,8,6,3]=>1110010=>114
[5,3,4,7,1,8,6,2]=>1110010=>114
[8,6,4,1,3,2,5,7]=>1101010=>106
[8,1,3,6,5,2,4,7]=>1100100=>100
[8,1,4,3,6,5,2,7]=>1110100=>116
[3,6,5,2,1,8,7,4]=>1101101=>109
[8,3,2,4,6,5,1,7]=>1110100=>116
[8,4,2,1,6,5,3,7]=>1111100=>124
[8,4,1,2,6,5,3,7]=>1011100=>92
[8,6,4,2,1,5,3,7]=>1111010=>122
[8,3,6,4,1,5,2,7]=>1111000=>120
[8,2,6,3,4,5,1,7]=>1110000=>112
[1,3,4,8,5,7,2,6]=>0100100=>36
[5,8,4,7,6,2,3,1]=>1101010=>106
[1,3,4,7,5,8,2,6]=>0100100=>36
[1,3,5,2,4,8,7,6]=>0100011=>35
[2,6,5,1,3,8,7,4]=>1001101=>77
[4,7,1,6,5,8,3,2]=>1110100=>116
[5,4,8,7,6,3,1,2]=>1011011=>91
[2,8,5,1,4,7,6,3]=>1010110=>86
[4,3,1,5,8,6,7,2]=>1110010=>114
[4,1,3,5,8,6,7,2]=>1100010=>98
[6,5,3,8,4,7,1,2]=>1011100=>92
[5,4,2,1,6,8,7,3]=>1111001=>121
[6,8,4,3,2,7,1,5]=>1111000=>120
[3,4,7,8,2,1,6,5]=>1100100=>100
[5,1,3,2,8,6,7,4]=>1101010=>106
[5,3,1,2,8,6,7,4]=>1011010=>90
[5,2,3,1,6,8,7,4]=>1101001=>105
[5,3,2,1,8,6,7,4]=>1111010=>122
[5,2,1,3,6,8,7,4]=>1101001=>105
[2,4,7,3,8,1,6,5]=>1010100=>84
[6,3,8,2,7,4,1,5]=>1111000=>120
[8,2,1,3,6,4,7,5]=>1101100=>108
[3,5,1,7,8,4,2,6]=>1101000=>104
[2,7,4,5,8,3,1,6]=>1011000=>88
[1,8,4,3,7,2,6,5]=>0111100=>60
[3,4,8,7,2,1,6,5]=>1100101=>101
[5,4,7,8,3,6,2,1]=>1111000=>120
[6,4,3,8,7,2,1,5]=>1111001=>121
[6,3,8,7,4,1,2,5]=>1011001=>89
[3,5,7,2,4,8,1,6]=>1100000=>96
[8,4,7,2,3,1,5,6]=>1101000=>104
[8,4,7,1,3,2,5,6]=>1101000=>104
[8,4,7,2,1,3,5,6]=>1101000=>104
[8,6,4,2,1,3,7,5]=>1101110=>110
[8,6,4,1,3,2,7,5]=>1101110=>110
[8,6,4,2,3,1,7,5]=>1101110=>110
[3,5,7,2,6,1,8,4]=>1101000=>104
[6,1,3,8,5,7,2,4]=>1100100=>100
[5,8,3,2,6,7,1,4]=>1110000=>112
[4,8,5,3,6,2,7,1]=>1110100=>116
[2,8,1,5,4,7,6,3]=>1011010=>90
[1,5,8,7,4,6,2,3]=>0101001=>41
[2,1,7,6,4,5,8,3]=>1011010=>90
[1,7,2,4,6,5,8,3]=>0110100=>52
[3,5,1,7,6,8,2,4]=>1100010=>98
[5,8,2,6,1,3,7,4]=>1101000=>104
[6,3,5,8,7,2,1,4]=>1110001=>113
[2,5,7,8,4,1,6,3]=>1011000=>88
[4,2,8,1,5,6,7,3]=>1110000=>112
[4,1,5,2,6,8,7,3]=>1110001=>113
[3,4,5,1,6,8,7,2]=>1100001=>97
[4,2,8,5,1,6,7,3]=>1110100=>116
[4,1,8,5,2,6,7,3]=>1110100=>116
[2,7,1,8,5,4,6,3]=>1011100=>92
[5,8,6,2,1,3,7,4]=>1101010=>106
[8,2,4,1,5,6,7,3]=>1110000=>112
[4,6,3,5,8,1,7,2]=>1110000=>112
[1,7,8,3,5,4,6,2]=>0111000=>56
[3,4,5,1,8,6,7,2]=>1100010=>98
[3,8,1,4,5,6,7,2]=>1100000=>96
[3,4,5,6,8,2,1,7]=>1100000=>96
[3,4,5,7,1,8,6,2]=>1100010=>98
[3,4,5,7,8,2,6,1]=>1100000=>96
[3,4,6,2,8,5,1,7]=>1100100=>100
[3,4,6,8,1,5,2,7]=>1100000=>96
[3,4,7,2,1,8,6,5]=>1100110=>102
[3,4,7,8,1,5,6,2]=>1100000=>96
[3,4,8,2,1,5,6,7]=>1100000=>96
[3,5,2,6,7,8,1,4]=>1100000=>96
[3,5,2,7,8,4,6,1]=>1101000=>104
[3,5,2,8,4,1,6,7]=>1101000=>104
[3,5,6,2,8,4,1,7]=>1101000=>104
[3,5,6,8,4,1,2,7]=>1001000=>72
[3,5,7,2,4,8,6,1]=>1100010=>98
[3,5,7,2,8,4,6,1]=>1101000=>104
[3,5,7,8,4,1,6,2]=>1101000=>104
[3,6,2,1,7,8,5,4]=>1101100=>108
[3,6,2,1,8,5,4,7]=>1101100=>108
[3,6,7,2,4,8,5,1]=>1100100=>100
[3,6,7,2,8,5,4,1]=>1101100=>108
[3,6,7,8,4,5,1,2]=>1001000=>72
[3,6,8,2,4,5,1,7]=>1100000=>96
[3,7,2,1,4,8,6,5]=>1100110=>102
[3,7,2,1,8,5,6,4]=>1101100=>108
[3,7,2,8,4,5,6,1]=>1101000=>104
[3,7,8,2,4,5,6,1]=>1100000=>96
[3,8,2,1,4,5,6,7]=>1100000=>96
[4,1,5,6,7,8,3,2]=>1110000=>112
[4,1,5,7,3,8,6,2]=>1110010=>114
[4,1,6,3,7,8,5,2]=>1110100=>116
[4,1,6,3,8,5,2,7]=>1110100=>116
[4,1,6,7,3,8,5,2]=>1110100=>116
[4,1,6,7,8,5,2,3]=>1100100=>100
[4,1,6,8,3,5,2,7]=>1110000=>112
[4,1,7,3,2,8,6,5]=>1110110=>118
[4,1,7,8,3,5,6,2]=>1110000=>112
[4,1,8,3,2,5,6,7]=>1110000=>112
[4,5,2,6,7,8,3,1]=>1110000=>112
[4,5,2,6,8,1,3,7]=>1100000=>96
[4,5,6,3,8,1,2,7]=>1010000=>80
[4,5,6,8,3,1,2,7]=>1010000=>80
[4,5,7,3,8,1,6,2]=>1110000=>112
[4,5,8,3,2,1,6,7]=>1110000=>112
[4,6,2,3,7,8,5,1]=>1100100=>100
[4,6,2,3,8,5,1,7]=>1100100=>100
[4,6,2,7,3,8,5,1]=>1110100=>116
[4,6,2,7,8,5,1,3]=>1100100=>100
[4,6,7,3,2,8,5,1]=>1110100=>116
[4,6,8,3,2,5,1,7]=>1110000=>112
[4,7,2,3,1,8,6,5]=>1100110=>102
[4,7,2,8,3,5,6,1]=>1110000=>112
[4,7,8,3,2,5,6,1]=>1110000=>112
[4,8,2,3,1,5,6,7]=>1100000=>96
[5,1,2,6,8,4,3,7]=>1011000=>88
[5,1,2,7,4,8,6,3]=>1011010=>90
[5,1,2,7,8,4,6,3]=>1011000=>88
[5,1,2,8,4,3,6,7]=>1011000=>88
[5,1,6,3,8,4,2,7]=>1111000=>120
[5,1,6,7,4,8,2,3]=>1101000=>104
[5,1,6,7,8,4,2,3]=>1101000=>104
[5,1,8,3,4,2,6,7]=>1110000=>112
[5,6,2,3,8,4,1,7]=>1101000=>104
[5,6,2,7,8,4,1,3]=>1101000=>104
[5,6,8,3,4,2,1,7]=>1110000=>112
[5,7,2,3,4,8,6,1]=>1100010=>98
[5,7,2,3,8,4,6,1]=>1101000=>104
[5,7,8,3,4,2,6,1]=>1110000=>112
[5,8,2,3,4,1,6,7]=>1100000=>96
[6,1,2,3,7,8,5,4]=>1001100=>76
[6,1,2,3,8,5,4,7]=>1001100=>76
[6,1,2,7,8,5,4,3]=>1011100=>92
[6,1,2,8,4,5,3,7]=>1011000=>88
[6,1,7,3,4,8,5,2]=>1110100=>116
[6,1,7,3,8,5,4,2]=>1111100=>124
[6,1,7,8,4,5,3,2]=>1111000=>120
[6,1,8,3,4,5,2,7]=>1110000=>112
[6,7,2,3,8,5,4,1]=>1101100=>108
[6,7,2,8,4,5,3,1]=>1111000=>120
[6,8,2,3,4,5,1,7]=>1100000=>96
[7,1,2,3,4,8,6,5]=>1000110=>70
[7,1,2,8,4,5,6,3]=>1011000=>88
[7,1,8,3,4,5,6,2]=>1110000=>112
[6,4,1,8,2,3,7,5]=>1101100=>108
[5,8,1,2,4,3,7,6]=>1010010=>82
[1,3,5,7,2,6,4,8]=>0101000=>40
[3,5,8,6,1,2,4,7]=>1000010=>66
[3,1,6,8,2,4,7,5]=>1100100=>100
[3,6,2,8,1,5,7,4]=>1101000=>104
[2,6,1,3,8,4,7,5]=>1001100=>76
[1,7,5,2,3,4,6,8]=>0100100=>36
[2,7,5,1,3,8,4,6]=>1001100=>76
[8,2,5,7,4,6,1,3]=>1101000=>104
[8,2,1,3,7,6,4,5]=>1101010=>106
[8,2,5,1,3,7,4,6]=>1101000=>104
[8,2,7,5,3,1,6,4]=>1111100=>124
[8,2,6,5,4,7,1,3]=>1101100=>108
[7,6,5,2,4,8,1,3]=>1100110=>102
[7,8,2,5,3,1,6,4]=>1111000=>120
[7,1,8,6,3,2,4,5]=>1110010=>114
[6,8,1,5,3,2,4,7]=>1110000=>112
[1,6,7,5,3,2,4,8]=>0110100=>52
[6,5,1,2,4,8,3,7]=>1010100=>84
[7,8,1,6,4,2,3,5]=>1101000=>104
[8,4,1,2,5,6,3,7]=>1011000=>88
[1,7,3,6,5,2,4,8]=>0110100=>52
[8,1,3,7,2,6,4,5]=>1101000=>104
[7,3,2,6,5,1,8,4]=>1111100=>124
[7,8,4,2,5,6,1,3]=>1101000=>104
[8,2,7,4,5,6,1,3]=>1101000=>104
[8,2,3,6,5,1,7,4]=>1101100=>108
[7,9,8,6,5,4,3,2,1]=>11111101=>253
[6,9,8,7,5,4,3,2,1]=>11111011=>251
[5,9,8,7,6,4,3,2,1]=>11110111=>247
[4,9,8,7,6,5,3,2,1]=>11101111=>239
[3,9,8,7,6,5,4,2,1]=>11011111=>223
[2,9,8,7,6,5,4,3,1]=>10111111=>191
[8,10,9,7,6,5,4,3,2,1]=>111111101=>509
[6,9,7,8,5,4,3,2,1]=>11111010=>250
[7,10,9,8,6,5,4,3,2,1]=>111111011=>507
[4,8,6,5,7,3,2,1]=>1110110=>118
[5,9,8,6,7,4,3,2,1]=>11110101=>245
[6,10,9,8,7,5,4,3,2,1]=>111110111=>503
[3,8,7,5,4,6,2,1]=>1101101=>109
[4,8,5,6,7,3,2,1]=>1110100=>116
[4,9,8,7,5,6,3,2,1]=>11101011=>235
[5,10,9,8,7,6,4,3,2,1]=>111101111=>495
[2,8,7,6,4,3,5,1]=>1011011=>91
[3,8,7,4,5,6,2,1]=>1101001=>105
[3,9,8,7,6,4,5,2,1]=>11010111=>215
[4,10,9,8,7,6,5,3,2,1]=>111011111=>479
[1,8,7,6,5,3,2,4]=>0110111=>55
[2,8,7,6,3,4,5,1]=>1010011=>83
[2,9,8,7,6,5,3,4,1]=>10101111=>175
[3,10,9,8,7,6,5,4,2,1]=>110111111=>447
[1,8,7,6,5,2,3,4]=>0100111=>39
[1,9,8,7,6,5,4,2,3]=>01011111=>95
[2,10,9,8,7,6,5,4,3,1]=>101111111=>383
[7,2,8,6,5,4,1,3]=>1101110=>110
[7,2,8,5,4,6,1,3]=>1101100=>108
[6,3,2,8,5,1,7,4]=>1111100=>124
[8,4,7,2,5,6,3,1]=>1111000=>120
[6,8,5,4,3,1,7,2]=>1111100=>124
[5,8,6,4,1,3,7,2]=>1101010=>106
[4,8,6,1,5,3,7,2]=>1110010=>114
[3,6,1,8,5,2,7,4]=>1101100=>108
[3,4,1,2,8,6,7,5]=>1000110=>70
[6,8,3,5,4,1,7,2]=>1111000=>120
[7,2,5,8,3,6,1,4]=>1110000=>112
[1,7,5,6,3,4,2,8]=>0110100=>52
[7,2,6,8,5,3,1,4]=>1110100=>116
[7,6,3,8,5,2,1,4]=>1110110=>118
[7,2,6,4,8,3,1,5]=>1111000=>120
[1,5,7,4,2,6,3,8]=>0111000=>56
[4,2,3,1,7,8,5,6]=>1100100=>100
[5,2,8,4,1,7,6,3]=>1111010=>122
[8,6,3,4,7,2,5,1]=>1110010=>114
[6,8,3,4,5,1,7,2]=>1110000=>112
[1,6,3,2,5,8,4,7]=>0111000=>56
[8,3,2,1,5,4,7,6]=>1111010=>122
[6,3,7,1,5,8,4,2]=>1111000=>120
[2,5,1,8,4,3,7,6]=>1011010=>90
[6,2,5,4,8,1,3,7]=>1101000=>104
[4,3,1,6,5,8,2,7]=>1110100=>116
[1,3,5,4,6,8,2,7]=>0101000=>40
[6,1,3,4,5,8,2,7]=>1100000=>96
[8,3,4,1,5,2,7,6]=>1110010=>114
[7,5,4,2,6,8,3,1]=>1111100=>124
[8,2,6,4,1,7,3,5]=>1111000=>120
[7,3,8,4,5,2,1,6]=>1111000=>120
[7,2,5,1,8,4,3,6]=>1111000=>120
[1,7,3,2,5,4,8,6]=>0111010=>58
[8,7,2,1,5,3,4,6]=>1110001=>113
[3,6,1,5,8,7,4,2]=>1101001=>105
[8,3,6,4,5,1,7,2]=>1111000=>120
[5,4,6,8,1,2,7,3]=>1011000=>88
[6,4,7,2,3,5,8,1]=>1101000=>104
[6,8,4,1,3,5,7,2]=>1101000=>104
[3,4,7,8,6,2,5,1]=>1100010=>98
[4,1,3,5,7,8,6,2]=>1100010=>98
[6,5,1,8,4,7,3,2]=>1111100=>124
[5,3,1,8,4,7,6,2]=>1111010=>122
[8,2,7,4,6,1,3,5]=>1101000=>104
[4,7,3,2,8,1,6,5]=>1110100=>116
[6,3,1,4,7,2,8,5]=>1110100=>116
[8,7,3,6,1,5,2,4]=>1110001=>113
[7,4,3,6,8,2,5,1]=>1111000=>120
[2,4,7,3,8,5,6,1]=>1010100=>84
[2,8,6,1,5,7,3,4]=>1010010=>82
[7,8,2,5,4,3,1,6]=>1111000=>120
[1,8,3,4,2,7,6,5]=>0110110=>54
[8,5,3,7,4,2,6,1]=>1111100=>124
[5,7,3,2,4,1,8,6]=>1110010=>114
[2,8,3,4,7,1,5,6]=>1010000=>80
[4,1,3,6,7,8,2,5]=>1100000=>96
[1,7,6,3,2,5,8,4]=>0111010=>58
[3,8,1,5,6,2,7,4]=>1101000=>104
[8,2,5,6,1,7,4,3]=>1111000=>120
[7,1,5,2,8,6,4,3]=>1111010=>122
[6,5,4,8,7,2,1,3]=>1101101=>109
[1,8,6,4,5,2,7,3]=>0111010=>58
[1,8,5,3,6,2,7,4]=>0111100=>60
[3,6,2,1,7,5,8,4]=>1101100=>108
[2,5,4,1,8,7,6,3]=>1011011=>91
[4,7,2,6,5,8,1,3]=>1100100=>100
[6,8,1,4,2,7,3,5]=>1110000=>112
[6,3,4,7,1,8,2,5]=>1110000=>112
[3,4,7,8,2,5,6,1]=>1100000=>96
[1,8,2,4,5,6,7,3]=>0110000=>48
[5,2,4,1,6,8,7,3]=>1110001=>113
[3,2,5,7,6,1,8,4]=>1101010=>106
[4,3,5,6,1,8,7,2]=>1110001=>113
[5,3,4,1,7,6,8,2]=>1110010=>114
[3,1,4,6,5,7,8,2]=>1100100=>100
[1,4,7,3,5,6,8,2]=>0110000=>48
[5,1,3,6,4,8,7,2]=>1101001=>105
[1,3,2,7,5,8,6,4]=>0101110=>46
[1,4,2,5,8,3,7,6]=>0110010=>50
[1,4,2,7,8,5,6,3]=>0110100=>52
[5,1,2,6,8,4,7,3]=>1011000=>88
[3,1,2,6,5,8,4,7]=>1001100=>76
[4,1,2,6,8,5,3,7]=>1010100=>84
[1,5,2,4,8,7,6,3]=>0110011=>51
[1,2,6,4,8,7,5,3]=>0011101=>29
[1,2,7,4,8,6,5,3]=>0011110=>30
[1,3,2,7,5,8,4,6]=>0101100=>44
[2,3,1,7,5,4,8,6]=>1001110=>78
[1,3,2,8,5,7,4,6]=>0101100=>44
[1,4,2,5,8,7,3,6]=>0110001=>49
[1,5,2,4,8,7,3,6]=>0110001=>49
[1,2,6,4,8,7,3,5]=>0011001=>25
[1,2,7,8,5,6,3,4]=>0010100=>20
[1,2,6,8,5,7,3,4]=>0010100=>20
[1,5,6,8,2,7,3,4]=>0110000=>48
[1,3,8,2,6,7,4,5]=>0101000=>40
[1,4,7,2,8,6,3,5]=>0110010=>50
[1,6,7,8,2,5,3,4]=>0110000=>48
[1,2,6,8,3,7,5,4]=>0011100=>28
[1,5,7,8,2,3,6,4]=>0101000=>40
[1,5,2,7,8,4,6,3]=>0111000=>56
[1,4,7,2,8,3,6,5]=>0110100=>52
[1,3,6,2,4,8,7,5]=>0100101=>37
[1,6,7,3,4,8,5,2]=>0110100=>52
[1,5,3,7,4,8,6,2]=>0111010=>58
[2,8,4,1,5,3,7,6]=>1011010=>90
[3,8,4,1,5,7,2,6]=>1101000=>104
[1,3,6,4,2,8,7,5]=>0101101=>45
[1,3,7,4,2,8,6,5]=>0101110=>46
[1,3,8,4,2,7,6,5]=>0101110=>46
[1,2,8,4,7,3,6,5]=>0011100=>28
[1,2,7,4,8,3,6,5]=>0011100=>28
[1,2,6,4,8,3,7,5]=>0011100=>28
[1,5,2,4,8,3,7,6]=>0110010=>50
[1,8,4,5,7,2,3,6]=>0101000=>40
[1,8,3,5,2,7,4,6]=>0111000=>56
[2,8,3,5,1,4,7,6]=>1010010=>82
[2,3,8,6,1,4,7,5]=>1000110=>70
[1,3,8,6,2,7,4,5]=>0101010=>42
[1,4,8,6,7,2,3,5]=>0100010=>34
[1,5,6,8,7,2,3,4]=>0100001=>33
[1,2,6,8,5,3,7,4]=>0011100=>28
[1,2,7,8,5,3,6,4]=>0011100=>28
[1,2,5,8,7,3,6,4]=>0011001=>25
[1,2,6,8,7,3,5,4]=>0011001=>25
[1,2,7,8,6,3,5,4]=>0011010=>26
[1,6,7,8,5,2,3,4]=>0100100=>36
[1,5,7,8,6,2,3,4]=>0100010=>34
[1,4,7,6,8,2,3,5]=>0100010=>34
[1,3,7,6,2,8,4,5]=>0101010=>42
[2,3,8,7,4,1,6,5]=>1001101=>77
[1,2,8,4,7,6,3,5]=>0011010=>26
[1,2,5,8,7,6,3,4]=>0010011=>19
[1,2,6,8,7,5,3,4]=>0010101=>21
[1,2,7,8,6,5,3,4]=>0010110=>22
[5,2,6,7,3,4,8,1]=>1110000=>112
[5,2,4,7,6,3,8,1]=>1110010=>114
[5,6,2,1,7,8,3,4]=>1110000=>112
[5,6,2,1,4,8,7,3]=>1110001=>113
[2,6,1,4,5,8,7,3]=>1010001=>81
[5,4,2,7,6,3,8,1]=>1111010=>122
[2,3,7,6,4,5,8,1]=>1001010=>74
[2,6,1,7,5,8,3,4]=>1010100=>84
[2,6,1,7,4,8,5,3]=>1011100=>92
[5,1,2,7,8,4,3,6]=>1011000=>88
[2,6,1,7,4,8,3,5]=>1011000=>88
[3,6,4,1,7,8,2,5]=>1101000=>104
[5,4,6,1,3,8,7,2]=>1101001=>105
[3,6,4,1,5,8,7,2]=>1101001=>105
[2,6,1,5,4,8,7,3]=>1011001=>89
[2,6,1,4,7,8,5,3]=>1010100=>84
[5,1,2,4,8,6,7,3]=>1010010=>82
[5,1,2,4,8,7,3,6]=>1010001=>81
[5,1,2,4,8,7,6,3]=>1010011=>83
[1,2,3,8,5,4,7,6]=>0001110=>14
[4,3,1,2,8,5,7,6]=>1010110=>86
[2,1,5,3,8,6,4,7]=>1011010=>90
[1,2,3,8,5,6,4,7]=>0001100=>12
[1,2,3,8,6,4,5,7]=>0001010=>10
[1,2,3,8,6,5,4,7]=>0001110=>14
[1,2,3,8,5,4,6,7]=>0001100=>12
[2,6,1,5,4,8,3,7]=>1011000=>88
[5,1,2,4,8,6,3,7]=>1010010=>82
[5,1,2,4,8,3,7,6]=>1010010=>82
[5,6,3,1,4,8,2,7]=>1110000=>112
[2,5,4,3,1,8,6,7]=>1011010=>90
[5,4,6,3,1,8,7,2]=>1111001=>121
[3,6,4,5,1,8,7,2]=>1101001=>105
[3,6,5,4,1,8,7,2]=>1101101=>109
[5,2,6,1,7,8,4,3]=>1111000=>120
[5,1,6,2,8,7,3,4]=>1110001=>113
[2,1,3,7,8,6,4,5]=>1001010=>74
[2,1,3,7,8,5,6,4]=>1001100=>76
[5,2,4,1,7,8,6,3]=>1110010=>114
[4,3,1,2,8,6,7,5]=>1010110=>86
[5,1,4,2,8,6,7,3]=>1110010=>114
[2,1,3,6,8,5,7,4]=>1001100=>76
[1,2,3,8,6,7,4,5]=>0001010=>10
[1,2,3,8,7,5,4,6]=>0001101=>13
[1,2,3,8,7,4,5,6]=>0001001=>9
[1,2,3,8,5,7,4,6]=>0001100=>12
[2,1,3,6,8,7,4,5]=>1001001=>73
[5,4,1,2,8,7,6,3]=>1011011=>91
[3,1,6,2,8,7,5,4]=>1101101=>109
[1,2,3,4,5,9,6,7,8]=>00000100=>4
[1,2,3,4,9,5,6,7,8]=>00001000=>8
[1,2,3,9,4,5,6,7,8]=>00010000=>16
[1,2,9,3,4,5,6,7,8]=>00100000=>32
[1,2,3,4,5,6,7,10,8,9]=>000000010=>2
[1,2,3,4,5,9,7,6,8]=>00000110=>6
[1,2,3,4,5,6,10,7,8,9]=>000000100=>4
[1,2,3,4,9,6,5,7,8]=>00001100=>12
[1,2,3,4,5,10,6,7,8,9]=>000001000=>8
[1,2,8,4,5,3,6,7]=>0011000=>24
[1,2,3,9,5,4,6,7,8]=>00011000=>24
[1,2,3,4,10,5,6,7,8,9]=>000010000=>16
[1,8,3,4,2,5,6,7]=>0110000=>48
[1,2,9,4,3,5,6,7,8]=>00110000=>48
[1,2,3,10,4,5,6,7,8,9]=>000100000=>32
[1,8,4,3,2,5,6,7]=>0111000=>56
[1,9,3,2,4,5,6,7,8]=>01100000=>96
[1,2,10,3,4,5,6,7,8,9]=>001000000=>64
[8,4,7,6,5,3,2,1]=>1111110=>126
[8,4,7,5,6,3,2,1]=>1111100=>124
[8,5,7,4,6,3,2,1]=>1111100=>124
[8,7,6,3,5,4,2,1]=>1111011=>123
[8,6,7,3,5,4,2,1]=>1111010=>122
[8,5,7,3,6,4,2,1]=>1111100=>124
[8,1,7,4,6,5,3,2]=>1111100=>124
[8,1,7,3,6,5,4,2]=>1111100=>124
[8,2,7,3,6,5,4,1]=>1111100=>124
[8,3,7,2,6,5,4,1]=>1111100=>124
[8,5,7,2,6,4,3,1]=>1111100=>124
[8,6,7,2,5,4,3,1]=>1111010=>122
[8,7,6,2,5,4,3,1]=>1111011=>123
[8,4,7,1,6,5,3,2]=>1111100=>124
[8,3,7,1,6,5,4,2]=>1111100=>124
[8,2,7,1,6,5,4,3]=>1111100=>124
[8,1,7,2,6,5,4,3]=>1111100=>124
[8,7,6,2,5,3,4,1]=>1110011=>115
[8,1,7,6,5,3,4,2]=>1110110=>118
[8,3,7,6,5,2,4,1]=>1110110=>118
[8,4,7,6,5,2,3,1]=>1101110=>110
[8,5,7,6,4,2,3,1]=>1101110=>110
[8,6,7,5,4,1,3,2]=>1101110=>110
[8,5,7,6,4,1,3,2]=>1101110=>110
[8,3,7,6,5,1,4,2]=>1110110=>118
[8,7,6,4,5,1,3,2]=>1101011=>107
[8,7,6,2,5,1,4,3]=>1110011=>115
[8,7,6,1,5,2,4,3]=>1110011=>115
[6,8,1,3,2,5,4,7]=>1101000=>104
[6,8,1,4,2,5,3,7]=>1110000=>112
[7,8,3,6,1,4,2,5]=>1110000=>112
[7,8,2,5,3,6,1,4]=>1110000=>112
[7,8,2,5,1,4,3,6]=>1110000=>112
[7,8,1,4,3,6,2,5]=>1110000=>112
[5,8,1,4,3,7,2,6]=>1110000=>112
[6,8,2,5,1,4,3,7]=>1110000=>112
[6,8,2,5,3,7,1,4]=>1110000=>112
[6,8,2,5,4,7,1,3]=>1101000=>104
[2,5,4,7,6,8,1,3]=>1001010=>74
[2,5,3,7,6,8,1,4]=>1010010=>82
[2,5,1,4,3,7,6,8]=>1010010=>82
[2,6,1,4,3,7,5,8]=>1010100=>84
[2,6,5,8,1,4,3,7]=>1010100=>84
[2,6,1,5,3,7,4,8]=>1011000=>88
[2,6,3,7,4,8,1,5]=>1011000=>88
[2,6,4,7,5,8,1,3]=>1001100=>76
[5,8,3,6,4,7,1,2]=>1011000=>88
[5,8,2,6,4,7,1,3]=>1101000=>104
[4,8,2,6,3,7,1,5]=>1110000=>112
[4,8,1,5,3,7,2,6]=>1110000=>112
[4,8,1,5,2,6,3,7]=>1110000=>112
[4,8,3,7,1,5,2,6]=>1110000=>112
[6,8,3,7,1,4,2,5]=>1110000=>112
[5,8,1,3,2,6,4,7]=>1101000=>104
[5,8,4,7,1,3,2,6]=>1101000=>104
[6,8,4,7,1,3,2,5]=>1101000=>104
[6,8,5,7,1,3,2,4]=>1100100=>100
[5,7,6,8,2,4,1,3]=>1100010=>98
[4,7,6,8,1,3,2,5]=>1100010=>98
[4,7,5,8,1,3,2,6]=>1100100=>100
[4,7,1,3,2,6,5,8]=>1100100=>100
[3,7,1,4,2,6,5,8]=>1100100=>100
[3,7,5,8,1,4,2,6]=>1100100=>100
[3,7,6,8,1,4,2,5]=>1100010=>98
[3,7,6,8,2,5,1,4]=>1100010=>98
[4,7,6,8,2,5,1,3]=>1100010=>98
[4,7,5,8,3,6,1,2]=>1010100=>84
[4,7,5,8,2,6,1,3]=>1100100=>100
[3,7,5,8,2,6,1,4]=>1100100=>100
[3,7,4,8,2,6,1,5]=>1101000=>104
[3,7,4,8,1,5,2,6]=>1101000=>104
[3,7,1,5,2,6,4,8]=>1101000=>104
[3,7,2,6,1,5,4,8]=>1101000=>104
[3,7,2,6,5,8,1,4]=>1100100=>100
[4,7,3,6,5,8,1,2]=>1010100=>84
[3,6,5,8,4,7,1,2]=>1001100=>76
[2,6,5,8,4,7,1,3]=>1001100=>76
[2,6,5,8,3,7,1,4]=>1010100=>84
[2,6,3,7,1,5,4,8]=>1011000=>88
[7,6,4,2,8,5,3,1]=>1111110=>126
[7,6,4,3,8,2,5,1]=>1111010=>122
[7,6,4,8,5,2,3,1]=>1101110=>110
[6,8,4,3,7,2,1,5]=>1111000=>120
[6,7,4,3,5,1,8,2]=>1111000=>120
[6,7,3,5,4,8,2,1]=>1111000=>120
[6,8,3,7,5,2,4,1]=>1110100=>116
[7,6,8,3,5,2,4,1]=>1110010=>114
[7,6,3,5,8,2,4,1]=>1110010=>114
[7,6,3,5,2,4,8,1]=>1110010=>114
[7,6,4,2,5,1,8,3]=>1111010=>122
[7,6,2,8,4,1,5,3]=>1111010=>122
[7,6,3,8,2,4,1,5]=>1110010=>114
[7,6,3,4,8,2,5,1]=>1110010=>114
[6,8,3,7,4,5,2,1]=>1111000=>120
[6,7,3,5,8,4,2,1]=>1111000=>120
[5,7,8,3,6,2,1,4]=>1110000=>112
[5,8,3,6,7,2,1,4]=>1110000=>112
[6,3,4,8,7,2,5,1]=>1110001=>113
[6,3,8,4,7,2,1,5]=>1111000=>120
[6,2,8,4,1,7,5,3]=>1111100=>124
[6,2,7,4,1,5,3,8]=>1111000=>120
[6,3,4,7,5,8,2,1]=>1110100=>116
[6,3,5,7,8,4,2,1]=>1111000=>120
[5,7,3,6,8,2,1,4]=>1110000=>112
[5,6,8,3,7,2,1,4]=>1110000=>112
[5,6,7,3,4,1,8,2]=>1110000=>112
[4,6,7,8,3,5,2,1]=>1110000=>112
[4,6,8,3,5,7,2,1]=>1110000=>112
[4,7,3,5,6,8,2,1]=>1110000=>112
[4,7,3,5,8,2,6,1]=>1110000=>112
[5,3,4,7,8,2,1,6]=>1110000=>112
[5,3,8,2,4,1,6,7]=>1110000=>112
[5,3,4,8,2,6,1,7]=>1110000=>112
[4,8,3,6,2,5,7,1]=>1110000=>112
[4,8,3,5,7,2,6,1]=>1110000=>112
[4,8,3,5,6,7,2,1]=>1110000=>112
[4,7,8,3,5,6,2,1]=>1110000=>112
[4,7,8,3,6,2,5,1]=>1110000=>112
[4,8,3,6,7,2,5,1]=>1110000=>112
[4,8,3,7,2,5,6,1]=>1110000=>112
[5,3,4,8,2,7,6,1]=>1110010=>114
[5,3,8,2,4,1,7,6]=>1110010=>114
[5,2,8,4,1,7,3,6]=>1111000=>120
[6,4,2,5,1,8,7,3]=>1111001=>121
[6,4,3,5,8,2,1,7]=>1111000=>120
[6,3,5,8,7,2,4,1]=>1110001=>113
[5,8,3,7,2,6,4,1]=>1111000=>120
[5,7,3,4,8,2,1,6]=>1110000=>112
[5,8,4,2,3,1,6,7]=>1101000=>104
[5,8,4,2,3,1,7,6]=>1101010=>106
[6,4,5,3,8,2,1,7]=>1111000=>120
[6,4,8,5,3,7,2,1]=>1111100=>124
[6,4,3,8,5,7,2,1]=>1111100=>124
[6,4,2,8,5,3,1,7]=>1111100=>124
[6,4,2,7,3,1,8,5]=>1111100=>124
[6,4,3,7,8,5,2,1]=>1111100=>124
[6,4,5,3,7,1,8,2]=>1111000=>120
[5,7,4,2,3,1,6,8]=>1101000=>104
[5,6,3,7,1,8,2,4]=>1110000=>112
[5,6,3,4,7,1,8,2]=>1110000=>112
[5,6,3,4,8,2,1,7]=>1110000=>112
[6,3,5,7,4,8,2,1]=>1111000=>120
[6,3,5,4,7,8,2,1]=>1111000=>120
[6,4,3,5,7,1,8,2]=>1111000=>120
[6,4,2,5,1,7,3,8]=>1111000=>120
[5,3,7,2,4,1,6,8]=>1110000=>112
[5,3,4,7,2,6,1,8]=>1110000=>112
[4,7,3,6,2,5,8,1]=>1110000=>112
[4,7,3,6,8,2,5,1]=>1110000=>112
[4,6,7,3,5,8,2,1]=>1110000=>112
[4,5,7,8,3,6,2,1]=>1110000=>112
[4,5,8,3,6,7,2,1]=>1110000=>112
[4,5,8,3,7,2,6,1]=>1110000=>112
[5,3,4,6,8,2,1,7]=>1110000=>112
[5,3,6,8,2,1,4,7]=>1110000=>112
[5,3,6,7,1,8,2,4]=>1110000=>112
[5,3,4,6,7,1,8,2]=>1110000=>112
[4,6,3,5,7,8,2,1]=>1110000=>112
[4,5,7,3,6,8,2,1]=>1110000=>112
[4,5,6,8,3,7,2,1]=>1110000=>112
[5,7,4,8,6,3,2,1]=>1111010=>122
[3,2,6,5,1,8,7,4]=>1101101=>109
[3,5,6,7,2,8,4,1]=>1101000=>104
[7,6,9,8,5,4,3,2,1]=>11111101=>253
[6,5,4,9,8,7,3,2,1]=>11111011=>251
[6,8,5,9,7,4,3,2,1]=>11111010=>250
[6,7,8,9,5,4,3,2,1]=>11111000=>248
[5,4,3,2,9,8,7,6,1]=>11110111=>247
[5,8,4,3,9,7,6,2,1]=>11110110=>246
[5,4,7,6,9,8,3,2,1]=>11110101=>245
[5,7,8,4,9,6,3,2,1]=>11110100=>244
[5,6,7,8,9,4,3,2,1]=>11110000=>240
[4,8,3,2,1,9,7,6,5]=>11101110=>238
[4,3,7,6,2,9,8,5,1]=>11101101=>237
[4,7,8,3,2,9,6,5,1]=>11101100=>236
[4,6,3,8,5,9,7,2,1]=>11101010=>234
[4,6,7,8,3,9,5,2,1]=>11101000=>232
[4,5,6,7,8,9,3,2,1]=>11100000=>224
[3,2,1,6,5,4,9,8,7]=>11011011=>219
[3,6,2,8,5,1,9,7,4]=>11011010=>218
[3,6,7,8,2,1,9,5,4]=>11011000=>216
[3,2,5,4,7,6,9,8,1]=>11010101=>213
[3,5,7,2,8,4,9,6,1]=>11010100=>212
[3,5,6,7,8,2,9,4,1]=>11010000=>208
[3,4,5,6,7,8,9,2,1]=>11000000=>192
[2,4,6,7,1,8,3,9,5]=>10101000=>168
[2,4,5,6,7,8,1,9,3]=>10100000=>160
[8,7,10,9,6,5,4,3,2,1]=>111111101=>509
[8,9,10,7,6,5,4,3,2,1]=>111111100=>508
[7,6,5,10,9,8,4,3,2,1]=>111111011=>507
[7,9,6,10,8,5,4,3,2,1]=>111111010=>506
[7,8,9,10,6,5,4,3,2,1]=>111111000=>504
[6,5,4,3,10,9,8,7,2,1]=>111110111=>503
[6,9,5,4,10,8,7,3,2,1]=>111110110=>502
[6,5,8,7,10,9,4,3,2,1]=>111110101=>501
[6,8,9,5,10,7,4,3,2,1]=>111110100=>500
[5,4,3,2,1,10,9,8,7,6]=>111101111=>495
[5,9,4,3,2,10,8,7,6,1]=>111101110=>494
[5,4,8,7,3,10,9,6,2,1]=>111101101=>493
[5,8,9,4,3,10,7,6,2,1]=>111101100=>492
[5,7,4,9,6,10,8,3,2,1]=>111101010=>490
[5,6,7,8,9,10,4,3,2,1]=>111100000=>480
[4,3,8,7,2,1,10,9,6,5]=>111011101=>477
[4,8,9,3,2,1,10,7,6,5]=>111011100=>476
[4,3,2,7,6,5,10,9,8,1]=>111011011=>475
[4,7,3,9,6,2,10,8,5,1]=>111011010=>474
[4,7,8,9,3,2,10,6,5,1]=>111011000=>472
[4,3,6,5,8,7,10,9,2,1]=>111010101=>469
[4,6,7,8,9,3,10,5,2,1]=>111010000=>464
[4,5,6,7,8,9,10,3,2,1]=>111000000=>448
[3,6,2,1,9,5,4,10,8,7]=>110110110=>438
[3,2,6,5,8,7,1,10,9,4]=>110110101=>437
[3,6,8,2,9,5,1,10,7,4]=>110110100=>436
[3,6,7,8,9,2,1,10,5,4]=>110110000=>432
[3,5,7,8,2,9,4,10,6,1]=>110101000=>424
[3,5,6,7,8,9,2,10,4,1]=>110100000=>416
[3,4,5,6,7,8,9,10,2,1]=>110000000=>384
[2,4,6,1,8,3,9,5,10,7]=>101010100=>340
[2,4,6,7,8,1,9,3,10,5]=>101010000=>336
[2,4,5,6,7,8,9,1,10,3]=>101000000=>320
[1,6,2,5,3,4,8,7]=>0110001=>49
[1,3,8,2,4,6,5,7]=>0100100=>36
[1,7,2,3,6,4,8,5]=>0101100=>44
[1,6,8,2,5,3,7,4]=>0111000=>56
[1,8,2,5,3,4,7,6]=>0110010=>50
[1,8,2,3,6,4,7,5]=>0101100=>44
[1,3,5,2,8,4,7,6]=>0101010=>42
[1,2,7,3,5,4,6,8]=>0011000=>24
[1,8,2,7,3,4,6,5]=>0110100=>52
[1,5,8,2,3,7,4,6]=>0101000=>40
[1,6,8,2,3,5,4,7]=>0101000=>40
[5,3,6,1,2,4,8,7]=>1010001=>81
[7,1,5,8,4,2,3,6]=>1101000=>104
[8,1,5,7,4,2,3,6]=>1101000=>104
[7,1,4,5,8,2,3,6]=>1100000=>96
[7,4,1,6,2,8,3,5]=>1111000=>120
[8,4,1,7,2,6,3,5]=>1111000=>120
[8,1,4,7,5,2,3,6]=>1100100=>100
[8,1,5,4,7,2,3,6]=>1101000=>104
[2,1,7,5,8,3,4,6]=>1010100=>84
[7,1,5,4,8,2,3,6]=>1101000=>104
[7,1,4,8,5,2,3,6]=>1100100=>100
[6,4,1,7,2,3,8,5]=>1101100=>108
[7,8,3,1,2,4,6,5]=>1010100=>84
[8,7,1,6,4,2,3,5]=>1101001=>105
[8,6,1,7,4,2,3,5]=>1101010=>106
[7,6,1,8,4,2,3,5]=>1101010=>106
[7,3,8,1,2,4,6,5]=>1010100=>84
[8,3,7,1,2,4,6,5]=>1010100=>84
[8,3,6,1,2,4,7,5]=>1010100=>84
[8,3,7,5,1,2,4,6]=>1010100=>84
[7,3,6,1,2,4,8,5]=>1010100=>84
[6,7,1,8,4,2,3,5]=>1101000=>104
[6,8,1,7,4,2,3,5]=>1101000=>104
[7,1,8,5,4,2,3,6]=>1101100=>108
[7,1,8,4,5,2,3,6]=>1101000=>104
[2,1,7,8,5,3,4,6]=>1010100=>84
[7,6,3,1,2,4,8,5]=>1010110=>86
[6,1,2,3,8,7,5,4]=>1001101=>77
[6,8,1,4,2,3,7,5]=>1100100=>100
[6,8,3,1,2,7,4,5]=>1011000=>88
[6,7,3,1,2,8,4,5]=>1011000=>88
[6,7,1,4,2,3,8,5]=>1100100=>100
[4,3,6,8,5,7,1,2]=>1010100=>84
[6,1,2,5,4,8,3,7]=>1011000=>88
[3,2,8,5,4,1,7,6]=>1101110=>110
[7,8,2,1,4,6,3,5]=>1110000=>112
[7,2,1,5,8,3,4,6]=>1110000=>112
[2,4,8,5,1,3,6,7]=>1000100=>68
[3,5,6,1,8,4,2,7]=>1101000=>104
[1,3,6,8,7,4,2,5]=>0101001=>41
[1,2,8,5,7,3,4,6]=>0010100=>20
[2,6,1,5,8,3,4,7]=>1010000=>80
[5,7,1,6,8,4,3,2]=>1111000=>120
[4,8,1,2,5,7,3,6]=>1010000=>80
[8,4,6,2,5,7,3,1]=>1111000=>120
[8,3,6,4,7,2,5,1]=>1111000=>120
[3,8,1,4,7,2,5,6]=>1100000=>96
[1,7,8,4,6,2,5,3]=>0111000=>56
[3,7,4,8,5,1,6,2]=>1101100=>108
[3,7,1,6,5,4,8,2]=>1101100=>108
[2,7,3,1,5,8,4,6]=>1011000=>88
[2,7,4,6,8,1,3,5]=>1001000=>72
[2,7,5,8,6,4,1,3]=>1001110=>78
[8,2,6,7,5,4,3,1]=>1111100=>124
[3,8,7,1,6,4,5,2]=>1101001=>105
[3,6,8,2,7,4,1,5]=>1101000=>104
[1,5,2,8,7,4,6,3]=>0111001=>57
[3,4,2,7,8,1,6,5]=>1100100=>100
[4,1,3,7,5,6,8,2]=>1100100=>100
[6,3,8,1,7,4,2,5]=>1111000=>120
[6,5,8,7,1,4,2,3]=>1100101=>101
[4,1,7,3,8,5,2,6]=>1110100=>116
[3,6,1,4,5,8,2,7]=>1100000=>96
[1,6,7,4,5,3,8,2]=>0111000=>56
[6,1,7,3,5,4,8,2]=>1111000=>120
[6,3,1,2,5,8,4,7]=>1011000=>88
[1,4,7,2,8,5,3,6]=>0110100=>52
[5,6,8,7,2,4,1,3]=>1100001=>97
[6,8,5,7,1,2,4,3]=>1010100=>84
[2,8,4,1,7,5,6,3]=>1011100=>92
[8,2,4,3,7,5,6,1]=>1110100=>116
[6,8,2,1,5,7,3,4]=>1110000=>112
[7,2,8,4,1,6,3,5]=>1111000=>120
[1,2,4,8,6,5,3,7]=>0010110=>22
[7,1,5,6,8,4,3,2]=>1111000=>120
[2,7,8,1,4,6,3,5]=>1010000=>80
[4,8,2,5,7,1,6,3]=>1110000=>112
[4,1,6,8,5,3,7,2]=>1110100=>116
[5,2,6,4,8,3,1,7]=>1111000=>120
[6,7,1,3,4,5,8,2]=>1100000=>96
[1,7,3,2,4,8,5,6]=>0110100=>52
[1,3,6,5,2,8,4,7]=>0101100=>44
[7,1,6,5,3,4,8,2]=>1110100=>116
[6,3,4,2,8,7,5,1]=>1110101=>117
[4,3,8,7,5,2,6,1]=>1110101=>117
[6,8,7,4,2,3,5,1]=>1101001=>105
[3,6,4,5,2,8,7,1]=>1101001=>105
[8,6,1,3,5,4,2,7]=>1101010=>106
[5,3,8,6,1,2,4,7]=>1010010=>82
[2,5,6,3,4,8,7,1]=>1010001=>81
[2,5,3,6,8,7,4,1]=>1011001=>89
[4,8,7,3,5,2,6,1]=>1110001=>113
[3,8,7,2,6,4,5,1]=>1101001=>105
[6,3,5,4,8,7,2,1]=>1111001=>121
[4,3,8,6,1,5,2,7]=>1110010=>114
[4,7,6,2,5,3,8,1]=>1110010=>114
[7,5,2,6,8,1,4,3]=>1110100=>116
[8,5,2,7,1,4,3,6]=>1110100=>116
[1,8,5,3,6,2,4,7]=>0110100=>52
[5,1,7,2,4,3,8,6]=>1110010=>114
[1,5,3,4,8,6,2,7]=>0110010=>50
[5,4,1,3,8,6,2,7]=>1101010=>106
[5,1,8,6,3,4,2,7]=>1110010=>114
[4,5,2,8,3,7,6,1]=>1110010=>114
[8,2,3,7,6,4,5,1]=>1101010=>106
[5,8,2,4,7,6,3,1]=>1110010=>114
[6,8,2,5,3,4,7,1]=>1110000=>112
[7,2,5,6,4,8,1,3]=>1101000=>104
[1,6,7,4,8,2,3,5]=>0101000=>40
[7,1,3,5,8,2,6,4]=>1101000=>104
[8,2,1,3,5,6,7,4]=>1101000=>104
[6,3,1,4,7,5,8,2]=>1110100=>116
[4,1,3,8,2,6,7,5]=>1100100=>100
[2,8,3,6,7,5,4,1]=>1011100=>92
[3,1,7,2,8,5,4,6]=>1101100=>108
[3,6,1,4,7,2,8,5]=>1100100=>100
[1,5,8,4,7,2,3,6]=>0101000=>40
[7,1,3,6,2,8,4,5]=>1101000=>104
[6,2,7,4,5,8,1,3]=>1101000=>104
[2,1,8,4,5,7,3,6]=>1011000=>88
[1,8,5,7,3,2,4,6]=>0110100=>52
[2,1,8,5,4,3,6,7]=>1011100=>92
[2,7,4,1,5,3,8,6]=>1011010=>90
[7,4,8,6,2,3,1,5]=>1101010=>106
[2,7,1,4,6,3,8,5]=>1010100=>84
[4,7,5,6,8,1,3,2]=>1100100=>100
[7,1,3,2,8,5,4,6]=>1101100=>108
[2,8,5,4,1,3,6,7]=>1001100=>76
[5,1,7,4,2,3,8,6]=>1101010=>106
[3,8,6,5,1,4,2,7]=>1100110=>102
[1,3,4,8,6,5,2,7]=>0100110=>38
[4,1,8,6,5,3,2,7]=>1110110=>118
[4,8,5,2,7,3,6,1]=>1110100=>116
[7,2,8,5,3,6,4,1]=>1111100=>124
[5,2,8,4,3,7,6,1]=>1111010=>122
[8,4,7,5,2,3,6,1]=>1101100=>108
[7,5,2,8,4,6,1,3]=>1101100=>108
[5,7,4,3,6,2,8,1]=>1111000=>120
[6,7,5,1,2,8,3,4]=>1010100=>84
[5,2,6,8,3,4,7,1]=>1110000=>112
[7,6,2,4,5,8,3,1]=>1110010=>114
[3,6,8,4,7,2,5,1]=>1101000=>104
[7,6,3,8,4,2,5,1]=>1111010=>122
[2,6,3,8,4,7,5,1]=>1011100=>92
[7,2,3,6,5,8,4,1]=>1101100=>108
[6,2,7,5,8,3,1,4]=>1110100=>116
[2,8,3,6,4,5,7,1]=>1011000=>88
[2,1,5,6,8,3,7,4]=>1011000=>88
[5,8,1,2,6,4,7,3]=>1011000=>88
[1,6,8,3,2,7,4,5]=>0111000=>56
[6,5,7,2,8,4,1,3]=>1101100=>108
[7,5,1,2,8,4,6,3]=>1011100=>92
[5,4,8,3,6,2,7,1]=>1111000=>120
[5,8,2,7,4,3,6,1]=>1111000=>120
[6,4,5,8,2,7,3,1]=>1111000=>120
[5,7,3,6,4,8,2,1]=>1111000=>120
[1,5,6,4,8,2,7,3]=>0111000=>56
[3,1,5,6,4,8,7,2]=>1101001=>105
[1,3,6,2,5,7,8,4]=>0101000=>40
[1,4,6,3,5,7,8,2]=>0110000=>48
[3,5,1,6,4,7,8,2]=>1101000=>104
[3,6,1,4,2,7,8,5]=>1100100=>100
[2,4,6,3,1,7,8,5]=>1010100=>84
[1,3,6,5,2,7,8,4]=>0101100=>44
[1,2,6,4,3,8,5,7]=>0011100=>28
[1,2,6,3,5,8,7,4]=>0011001=>25
[2,3,5,1,8,4,7,6]=>1001010=>74
[2,3,6,1,8,5,4,7]=>1001100=>76
[1,2,7,4,6,8,3,5]=>0011000=>24
[2,3,7,5,1,8,4,6]=>1001100=>76
[4,7,2,5,3,8,6,1]=>1110010=>114
[3,1,7,5,4,8,6,2]=>1101110=>110
[1,2,7,6,4,8,5,3]=>0011110=>30
[1,2,7,3,6,8,5,4]=>0011100=>28
[2,3,6,1,8,5,7,4]=>1001100=>76
[3,1,5,4,8,7,6,2]=>1101011=>107
[1,2,5,8,4,7,3,6]=>0011000=>24
[1,2,6,8,5,4,7,3]=>0011100=>28
[1,3,6,8,5,2,7,4]=>0101100=>44
[3,5,7,4,8,2,1,6]=>1101000=>104
[2,4,7,6,8,3,1,5]=>1010010=>82
[1,4,6,8,3,5,2,7]=>0110000=>48
[1,3,6,8,5,2,4,7]=>0100100=>36
[1,2,6,8,5,4,3,7]=>0011100=>28
[1,2,5,8,4,3,7,6]=>0011010=>26
[1,3,5,8,2,4,7,6]=>0100010=>34
[1,3,6,8,2,5,4,7]=>0101000=>40
[1,4,6,8,3,2,5,7]=>0110000=>48
[3,5,7,4,8,1,2,6]=>1001000=>72
[4,6,1,7,5,8,2,3]=>1100100=>100
[2,3,6,7,5,8,1,4]=>1000100=>68
[1,3,7,5,6,8,2,4]=>0100100=>36
[2,3,6,5,8,1,7,4]=>1001100=>76
[3,4,6,2,8,1,7,5]=>1100100=>100
[3,5,4,6,8,2,1,7]=>1101000=>104
[3,5,4,6,8,1,2,7]=>1001000=>72
[1,2,4,7,5,8,3,6]=>0010100=>20
[1,2,6,7,4,8,3,5]=>0011000=>24
[3,6,4,7,1,8,5,2]=>1101100=>108
[1,2,6,7,3,8,5,4]=>0011100=>28
[1,2,5,7,3,8,6,4]=>0011010=>26
[3,1,5,7,6,8,4,2]=>1101010=>106
[3,5,4,6,8,2,7,1]=>1101000=>104
[4,2,6,1,8,7,5,3]=>1110101=>117
[3,1,6,5,8,7,4,2]=>1101101=>109
[2,3,6,5,8,7,1,4]=>1000101=>69
[1,2,7,4,6,8,5,3]=>0011100=>28
[1,2,7,5,6,8,4,3]=>0011100=>28
[3,1,6,7,5,8,4,2]=>1101100=>108
[4,6,2,7,5,8,3,1]=>1110100=>116
[3,5,7,4,8,2,6,1]=>1101000=>104
[2,4,7,6,8,3,5,1]=>1010010=>82
[1,4,6,8,3,5,7,2]=>0110000=>48
[1,3,6,8,2,5,7,4]=>0101000=>40
[1,3,5,8,2,7,4,6]=>0101000=>40
[1,2,5,8,4,7,6,3]=>0011010=>26
[1,2,4,8,7,3,6,5]=>0010101=>21
[1,2,5,8,7,4,3,6]=>0011001=>25
[1,3,5,8,7,2,4,6]=>0100001=>33
[2,3,7,6,8,5,1,4]=>1000110=>70
[5,7,1,2,8,6,4,3]=>1011010=>90
[3,1,7,6,8,5,4,2]=>1101110=>110
[1,2,6,8,5,7,4,3]=>0011100=>28
[1,2,5,8,7,4,6,3]=>0011001=>25
[1,2,4,8,7,6,3,5]=>0010011=>19
[6,4,5,7,2,8,1,3]=>1101000=>104
[5,3,4,7,2,8,1,6]=>1110000=>112
[3,2,7,4,6,8,1,5]=>1101000=>104
[5,3,6,2,7,1,4,8]=>1110000=>112
[2,6,3,4,7,1,5,8]=>1010000=>80
[2,7,3,4,5,8,1,6]=>1010000=>80
[3,7,4,5,6,8,1,2]=>1001000=>72
[2,5,7,3,6,8,1,4]=>1010000=>80
[4,7,6,2,3,8,1,5]=>1100010=>98
[7,3,5,2,4,8,1,6]=>1110000=>112
[7,6,2,4,5,8,1,3]=>1100010=>98
[6,5,2,3,4,8,1,7]=>1100100=>100
[5,3,1,2,8,4,7,6]=>1011010=>90
[6,5,2,3,7,1,4,8]=>1100100=>100
[5,2,1,7,3,4,6,8]=>1110000=>112
[5,2,1,8,3,4,6,7]=>1110000=>112
[6,3,2,8,4,5,7,1]=>1111000=>120
[7,3,1,2,8,4,6,5]=>1011100=>92
[6,4,1,3,8,5,7,2]=>1101100=>108
[6,2,3,1,8,4,7,5]=>1101100=>108
[8,3,5,2,7,1,4,6]=>1110000=>112
[8,6,2,4,7,1,5,3]=>1110010=>114
[8,5,2,3,6,1,4,7]=>1100100=>100
[8,2,1,7,3,4,5,6]=>1110000=>112
[8,6,3,7,2,4,5,1]=>1110010=>114
[7,1,6,2,3,4,5,8]=>1100000=>96
[8,2,7,3,4,5,6,1]=>1110000=>112
[8,1,6,2,3,4,5,7]=>1100000=>96
[8,1,7,3,4,5,6,2]=>1110000=>112
[8,6,1,7,2,4,5,3]=>1110010=>114
[8,1,5,7,2,3,6,4]=>1101000=>104
[1,7,5,8,2,3,6,4]=>0101100=>44
[7,2,1,8,3,4,5,6]=>1110000=>112
[7,3,8,2,4,5,6,1]=>1110000=>112
[7,2,8,3,4,5,6,1]=>1110000=>112
[1,7,8,3,4,5,6,2]=>0110000=>48
[1,4,5,8,3,6,7,2]=>0110000=>48
[2,5,7,1,8,3,6,4]=>1011000=>88
[6,2,7,1,8,4,5,3]=>1111000=>120
[4,7,1,3,8,5,6,2]=>1100100=>100
[1,6,2,8,4,5,7,3]=>0111000=>56
[4,1,3,6,8,2,7,5]=>1100100=>100
[5,3,4,6,8,2,7,1]=>1110000=>112
[4,6,3,8,7,1,2,5]=>1010001=>81
[6,4,5,8,7,1,2,3]=>1001001=>73
[5,3,4,8,7,1,2,6]=>1010001=>81
[3,2,8,7,1,4,6,5]=>1100101=>101
[3,1,8,7,2,4,6,5]=>1100101=>101
[5,3,7,6,1,2,4,8]=>1010010=>82
[1,8,3,7,2,4,5,6]=>0110000=>48
[3,8,1,7,2,4,5,6]=>1100000=>96
[6,8,2,3,5,1,4,7]=>1100000=>96
[4,7,8,2,6,1,3,5]=>1100000=>96
[6,2,8,7,1,4,5,3]=>1110001=>113
[3,8,7,1,4,5,6,2]=>1100001=>97
[2,8,6,1,3,4,5,7]=>1000010=>66
[2,7,6,1,3,4,5,8]=>1000010=>66
[1,7,6,2,3,4,5,8]=>0100010=>34
[1,8,6,2,3,4,5,7]=>0100010=>34
[2,8,7,3,4,5,6,1]=>1010001=>81
[3,8,7,2,4,5,6,1]=>1100001=>97
[7,8,3,6,2,4,5,1]=>1110000=>112
[1,5,8,7,2,3,6,4]=>0101001=>41
[8,7,6,1,3,4,5,2]=>1100011=>99
[3,6,2,4,7,1,8,5]=>1100100=>100
[3,4,7,2,5,1,8,6]=>1100010=>98
[2,1,6,4,8,5,3,7]=>1011100=>92
[4,1,8,5,3,2,7,6]=>1110110=>118
[3,6,2,5,7,1,4,8]=>1100000=>96
[1,2,8,3,7,5,4,6]=>0011100=>28
[6,1,3,2,8,5,4,7]=>1101100=>108
[5,6,1,2,8,4,3,7]=>1011000=>88
[1,6,3,8,7,4,2,5]=>0111001=>57
[4,3,8,1,2,6,7,5]=>1010100=>84
[7,8,10,9,5,6,3,4,1,2]=>101010001=>337
[9,10,5,6,8,7,3,4,1,2]=>101010100=>340
[5,8,10,6,9,7,3,4,1,2]=>101001100=>332
[5,6,7,10,9,8,3,4,1,2]=>101000011=>323
[9,10,7,8,3,4,6,5,1,2]=>101010100=>340
[7,8,10,9,3,4,6,5,1,2]=>101010001=>337
[9,10,3,6,8,4,7,5,1,2]=>101110000=>368
[3,8,10,6,9,4,7,5,1,2]=>100111000=>312
[3,6,7,10,9,4,8,5,1,2]=>100110001=>305
[9,10,3,4,5,8,7,6,1,2]=>101001100=>332
[3,8,10,4,5,9,7,6,1,2]=>100101100=>300
[3,4,7,10,5,9,8,6,1,2]=>100011010=>282
[3,4,5,6,10,9,8,7,1,2]=>100000111=>263
[9,10,7,8,5,6,1,2,4,3]=>101010100=>340
[7,8,10,9,5,6,1,2,4,3]=>101010001=>337
[9,10,5,6,8,7,1,2,4,3]=>101010100=>340
[5,8,10,6,9,7,1,2,4,3]=>101001100=>332
[5,6,7,10,9,8,1,2,4,3]=>101000011=>323
[9,10,7,8,1,4,6,2,5,3]=>111000100=>452
[7,8,10,9,1,4,6,2,5,3]=>111000001=>449
[9,10,1,6,8,4,7,2,5,3]=>111100000=>480
[1,8,10,6,9,4,7,2,5,3]=>011101000=>232
[1,6,7,10,9,4,8,2,5,3]=>011100001=>225
[9,10,1,4,5,8,7,2,6,3]=>111000100=>452
[1,8,10,4,5,9,7,2,6,3]=>011100100=>228
[1,4,7,10,5,9,8,2,6,3]=>011010010=>210
[1,4,5,6,10,9,8,2,7,3]=>011000011=>195
[9,10,7,8,1,2,3,6,5,4]=>100110100=>308
[7,8,10,9,1,2,3,6,5,4]=>100110001=>305
[9,10,1,6,8,2,3,7,5,4]=>110110000=>432
[1,8,10,6,9,2,3,7,5,4]=>010111000=>184
[1,6,7,10,9,2,3,8,5,4]=>010110001=>177
[9,10,1,2,5,8,3,7,6,4]=>101101000=>360
[1,8,10,2,5,9,3,7,6,4]=>011101000=>232
[1,2,7,10,5,9,3,8,6,4]=>001111000=>120
[1,2,5,6,10,9,3,8,7,4]=>001100101=>101
[9,10,1,2,3,4,8,7,6,5]=>100011100=>284
[1,8,10,2,3,4,9,7,6,5]=>010011100=>156
[1,2,7,10,3,4,9,8,6,5]=>001011010=>90
[1,2,3,6,10,4,9,8,7,5]=>000110110=>54
[1,2,3,4,5,10,9,8,7,6]=>000001111=>15
[3,1,2,4,5,6,7,8,9]=>10000000=>128
[2,4,1,3,5,6,7,8,9]=>10000000=>128
[2,3,5,1,4,6,7,8,9]=>10000000=>128
[2,3,4,6,1,5,7,8,9]=>10000000=>128
[2,3,4,5,7,1,6,8,9]=>10000000=>128
[2,3,4,5,6,8,1,7,9]=>10000000=>128
[3,6,8,7,1,2,5,4]=>1001001=>73
[6,2,8,5,4,7,1,3]=>1101100=>108
[6,5,7,2,4,8,1,3]=>1100100=>100
[3,4,1,6,5,8,7,2]=>1100101=>101
[3,5,1,2,4,8,7,6]=>1000011=>67
[3,7,5,2,1,4,6,8]=>1100100=>100
[3,8,5,2,7,4,1,6]=>1101100=>108
[5,2,8,4,7,3,1,6]=>1111000=>120
[5,2,7,4,1,3,6,8]=>1101000=>104
[4,3,5,1,2,8,7,6]=>1010011=>83
[3,1,4,6,2,8,7,5]=>1100101=>101
[1,4,6,5,2,8,7,3]=>0110101=>53
[3,4,5,6,1,8,7,2]=>1100001=>97
[3,4,5,8,7,2,1,6]=>1100001=>97
[1,4,7,2,6,3,5,8]=>0110000=>48
[8,4,7,5,2,1,6,3]=>1111100=>124
[8,1,4,7,2,3,6,5]=>1100100=>100
[1,8,5,7,3,4,6,2]=>0110100=>52
[6,3,5,1,7,4,2,8]=>1111000=>120
[6,1,4,8,7,3,2,5]=>1110001=>113
[6,4,8,5,7,1,2,3]=>1001100=>76
[5,4,8,1,6,3,2,7]=>1111000=>120
[1,4,8,6,3,7,2,5]=>0110010=>50
[5,4,7,6,3,8,1,2]=>1011010=>90
[4,6,3,7,5,8,1,2]=>1010100=>84
[4,1,3,5,8,6,2,7]=>1100010=>98
[5,7,4,3,8,1,2,6]=>1011000=>88
[1,4,8,3,7,6,5,2]=>0110110=>54
[4,3,8,2,1,6,5,7]=>1110100=>116
[3,8,4,2,7,1,5,6]=>1101000=>104
[3,1,2,5,7,6,4,8]=>1001010=>74
[1,8,2,7,6,5,4,3]=>0111110=>62
[3,8,1,6,7,5,4,2]=>1101100=>108
[3,7,2,6,8,5,1,4]=>1100100=>100
[7,2,3,8,5,6,1,4]=>1100100=>100
[8,2,1,7,5,6,4,3]=>1111100=>124
[8,1,3,6,5,7,4,2]=>1101100=>108
[8,2,4,3,6,1,5,7]=>1110000=>112
[1,7,8,5,4,3,6,2]=>0111100=>60
[1,8,4,5,3,2,6,7]=>0111000=>56
[7,8,5,4,3,1,6,2]=>1111100=>124
[7,1,6,3,4,2,5,8]=>1110000=>112
[6,8,7,1,4,2,5,3]=>1110001=>113
[3,6,1,4,2,7,5,8]=>1100100=>100
[3,4,1,8,5,7,6,2]=>1100110=>102
[3,6,5,1,2,8,4,7]=>1001100=>76
[3,8,5,6,7,2,1,4]=>1100100=>100
[8,1,7,6,2,4,3,5]=>1110010=>114
[8,5,6,1,4,2,3,7]=>1100100=>100
[8,6,5,4,7,1,3,2]=>1101110=>110
[1,6,4,5,7,2,3,8]=>0101000=>40
[8,3,6,1,7,2,4,5]=>1110000=>112
[1,8,6,5,7,3,4,2]=>0110110=>54
[1,7,5,3,6,8,4,2]=>0111100=>60
[7,4,1,6,5,8,3,2]=>1111100=>124
[4,1,5,8,7,6,3,2]=>1110011=>115
[1,2,5,8,6,7,3,4]=>0010010=>18
[4,2,1,5,8,7,3,6]=>1110001=>113
[5,2,4,6,1,7,3,8]=>1110000=>112
[1,5,3,6,8,7,4,2]=>0111001=>57
[3,5,4,6,1,8,2,7]=>1101000=>104
[3,1,5,7,6,8,2,4]=>1100010=>98
[1,4,5,6,8,7,2,3]=>0100001=>33
[1,4,6,3,7,2,8,5]=>0110100=>52
[1,7,3,6,5,2,8,4]=>0111100=>60
[8,6,2,5,4,1,7,3]=>1111010=>122
[3,7,2,6,5,4,1,8]=>1101100=>108
[7,6,2,5,4,3,1,8]=>1111010=>122
[4,7,5,2,6,3,1,8]=>1110100=>116
[3,2,6,4,7,5,1,8]=>1101100=>108
[6,2,3,7,5,4,1,8]=>1101100=>108
[1,3,4,7,6,2,8,5]=>0100110=>38
[2,8,3,6,1,7,5,4]=>1011100=>92
[8,7,2,5,1,6,4,3]=>1111001=>121
[3,8,2,6,5,1,7,4]=>1101100=>108
[7,8,2,5,4,1,6,3]=>1111000=>120
[4,8,5,2,6,1,7,3]=>1110100=>116
[4,5,1,3,7,2,8,6]=>1100010=>98
[6,1,3,7,5,2,8,4]=>1101100=>108
[7,1,3,6,2,8,5,4]=>1101100=>108
[8,1,3,6,2,7,5,4]=>1101100=>108
[1,2,4,7,3,8,6,5]=>0010110=>22
[7,1,8,2,6,5,4,3]=>1111100=>124
[3,1,8,6,2,7,5,4]=>1101110=>110
[4,1,7,8,2,6,5,3]=>1110100=>116
[5,6,1,8,2,7,4,3]=>1111000=>120
[4,2,7,8,1,6,5,3]=>1110100=>116
[3,2,8,6,1,7,5,4]=>1101110=>110
[7,2,8,1,6,5,4,3]=>1111100=>124
[1,8,7,2,6,5,4,3]=>0111101=>61
[2,8,7,1,6,5,4,3]=>1011101=>93
[3,8,7,1,6,5,4,2]=>1101101=>109
[4,8,7,5,1,6,3,2]=>1110101=>117
[6,7,8,5,1,4,3,2]=>1110100=>116
[5,6,3,8,4,1,7,2]=>1111000=>120
[7,3,8,5,4,1,6,2]=>1111100=>124
[3,4,8,6,5,1,7,2]=>1100110=>102
[8,3,7,5,1,6,4,2]=>1111100=>124
[1,4,8,6,2,7,5,3]=>0110110=>54
[8,4,6,7,1,5,3,2]=>1111000=>120
[5,6,4,7,8,1,3,2]=>1101000=>104
[3,4,6,5,1,2,8,7]=>1000101=>69
[7,3,5,1,2,8,6,4]=>1011010=>90
[1,4,6,2,3,8,7,5]=>0100101=>37
[1,3,2,7,4,8,6,5]=>0101110=>46
[7,2,1,6,3,8,5,4]=>1111100=>124
[2,3,1,7,6,4,8,5]=>1001110=>78
[4,5,2,1,7,3,8,6]=>1110010=>114
[5,6,7,1,2,8,4,3]=>1011000=>88
[4,7,5,1,2,8,6,3]=>1010110=>86
[3,7,1,6,2,8,5,4]=>1101100=>108
[7,6,1,2,8,5,4,3]=>1011110=>94
[2,7,1,3,8,6,5,4]=>1001110=>78
[8,6,1,2,7,5,4,3]=>1011110=>94
[1,7,2,3,8,6,5,4]=>0101110=>46
[8,7,1,2,6,5,4,3]=>1011101=>93
[7,8,1,2,6,5,4,3]=>1011100=>92
[3,8,1,6,2,7,5,4]=>1101100=>108
[4,8,5,1,2,7,6,3]=>1010110=>86
[5,6,8,1,2,7,4,3]=>1011000=>88
[2,1,3,7,4,8,6,5]=>1001110=>78
[4,2,7,3,6,8,1,5]=>1110000=>112
[5,3,6,4,2,8,1,7]=>1111000=>120
[4,1,5,3,8,2,7,6]=>1110010=>114
[5,2,6,4,7,3,1,8]=>1111000=>120
[2,6,3,4,7,5,1,8]=>1010100=>84
[2,6,3,5,4,8,1,7]=>1011000=>88
[2,7,4,3,5,8,1,6]=>1011000=>88
[7,3,6,4,2,8,1,5]=>1111000=>120
[7,6,4,5,2,8,1,3]=>1101010=>106
[5,4,3,1,8,2,7,6]=>1111010=>122
[6,5,4,2,7,3,1,8]=>1111100=>124
[5,4,1,7,2,6,3,8]=>1111000=>120
[5,4,1,8,3,2,6,7]=>1111000=>120
[6,5,2,8,3,4,7,1]=>1110100=>116
[7,4,2,1,8,3,6,5]=>1111100=>124
[6,5,3,4,8,2,7,1]=>1110100=>116
[6,1,5,3,8,2,7,4]=>1111000=>120
[4,6,3,1,8,2,7,5]=>1110100=>116
[5,8,4,2,7,3,1,6]=>1111000=>120
[8,2,6,4,7,3,1,5]=>1111000=>120
[8,6,2,5,7,4,1,3]=>1101010=>106
[8,5,3,2,6,4,1,7]=>1111100=>124
[8,3,1,7,2,5,4,6]=>1111000=>120
[7,5,2,6,4,3,1,8]=>1111100=>124
[7,1,6,2,5,4,3,8]=>1111000=>120
[8,1,7,3,5,6,4,2]=>1111000=>120
[8,6,1,7,4,5,2,3]=>1101010=>106
[8,1,3,7,2,6,5,4]=>1101100=>108
[1,7,6,8,3,2,4,5]=>0110010=>50
[7,1,5,8,4,2,6,3]=>1111000=>120
[7,3,8,4,5,2,6,1]=>1111000=>120
[7,2,8,5,3,4,6,1]=>1110100=>116
[6,1,8,4,3,2,5,7]=>1111000=>120
[6,1,7,4,2,5,3,8]=>1111000=>120
[1,2,7,3,4,6,5,8]=>0010100=>20
[1,7,8,4,3,5,6,2]=>0111000=>56
[1,6,2,8,3,5,7,4]=>0111000=>56
[2,6,1,7,3,5,4,8]=>1011000=>88
[3,1,5,8,4,2,6,7]=>1101000=>104
[4,3,1,6,8,2,7,5]=>1110100=>116
[5,7,4,8,3,2,1,6]=>1111000=>120
[5,4,8,2,7,3,1,6]=>1111000=>120
[5,2,8,7,3,4,1,6]=>1110001=>113
[6,4,7,5,3,2,1,8]=>1111100=>124
[1,8,3,7,6,2,4,5]=>0110010=>50
[5,8,3,2,6,4,1,7]=>1111000=>120
[6,8,2,4,7,5,1,3]=>1100100=>100
[7,3,8,2,6,4,1,5]=>1111000=>120
[4,6,8,2,7,3,1,5]=>1110000=>112
[2,6,8,7,3,4,1,5]=>1010001=>81
[7,2,8,6,3,5,1,4]=>1110010=>114
[6,8,1,7,2,5,4,3]=>1111000=>120
[3,8,7,4,5,6,1,2]=>1001001=>73
[2,8,6,4,3,5,1,7]=>1011010=>90
[2,7,6,3,5,4,1,8]=>1011010=>90
[1,7,6,5,2,4,3,8]=>0110110=>54
[1,8,6,5,3,2,4,7]=>0110110=>54
[3,8,7,4,6,2,5,1]=>1101001=>105
[5,8,3,7,6,2,4,1]=>1110010=>114
[7,1,8,6,5,2,3,4]=>1100110=>102
[8,4,7,5,3,2,1,6]=>1111100=>124
[8,7,2,5,4,3,1,6]=>1111001=>121
[6,8,3,2,5,4,7,1]=>1111000=>120
[6,8,4,5,2,3,7,1]=>1101000=>104
[1,5,7,8,4,3,6,2]=>0111000=>56
[6,3,8,1,5,4,7,2]=>1111000=>120
[6,2,1,8,5,4,7,3]=>1111100=>124
[2,6,3,1,7,5,4,8]=>1011100=>92
[2,6,5,7,4,1,3,8]=>1001100=>76
[2,5,6,8,4,3,7,1]=>1011000=>88
[2,4,7,5,8,1,6,3]=>1010100=>84
[2,5,4,7,1,8,6,3]=>1011010=>90
[5,2,1,8,7,6,4,3]=>1111011=>123
[4,8,5,7,6,1,3,2]=>1100110=>102
[4,8,6,7,5,3,1,2]=>1010110=>86
[4,8,7,5,6,2,3,1]=>1100101=>101
[6,5,4,8,2,1,7,3]=>1111100=>124
[5,8,4,7,2,6,3,1]=>1111000=>120
[1,5,7,4,8,2,6,3]=>0111000=>56
[1,5,7,3,2,8,6,4]=>0111010=>58
[5,8,3,2,7,6,4,1]=>1111010=>122
[5,2,1,4,3,6,7,8]=>1110000=>112
[3,5,7,4,2,6,1,8]=>1101000=>104
[3,6,4,5,1,2,7,8]=>1001000=>72
[4,2,1,6,5,3,7,8]=>1110100=>116
[4,2,1,5,7,6,3,8]=>1110010=>114
[4,3,5,1,7,6,2,8]=>1110010=>114
[3,5,4,7,1,6,2,8]=>1101000=>104
[3,4,7,5,6,1,2,8]=>1000100=>68
[3,4,5,8,6,7,1,2]=>1000010=>66
[3,5,4,6,1,8,7,2]=>1101001=>105
[4,3,5,1,6,8,7,2]=>1110001=>113
[4,2,1,5,6,8,7,3]=>1110001=>113
[4,3,2,1,7,6,5,9,8,10]=>111011010=>474
[7,3,2,1,6,5,4,9,8,10]=>111110010=>498
[4,3,2,1,9,6,5,8,7,10]=>111011100=>476
[6,3,2,1,9,5,4,8,7,10]=>111110100=>500
[9,3,2,1,8,5,4,7,6,10]=>111111000=>504
[6,5,2,1,9,4,3,8,7,10]=>111110100=>500
[9,5,2,1,8,4,3,7,6,10]=>111111000=>504
[4,3,2,1,7,6,5,10,8,9]=>111011010=>474
[7,3,2,1,6,5,4,10,8,9]=>111110010=>498
[4,3,2,1,8,6,5,10,7,9]=>111011100=>476
[6,3,2,1,8,5,4,10,7,9]=>111110100=>500
[8,3,2,1,7,5,4,10,6,9]=>111111000=>504
[6,5,2,1,8,4,3,10,7,9]=>111110100=>500
[8,5,2,1,7,4,3,10,6,9]=>111111000=>504
[4,3,2,1,10,6,5,9,7,8]=>111011100=>476
[6,3,2,1,10,5,4,9,7,8]=>111110100=>500
[7,3,2,1,10,5,4,9,6,8]=>111111000=>504
[10,3,2,1,9,5,4,8,6,7]=>111111000=>504
[6,5,2,1,10,4,3,9,7,8]=>111110100=>500
[7,5,2,1,10,4,3,9,6,8]=>111111000=>504
[10,5,2,1,9,4,3,8,6,7]=>111111000=>504
[4,3,2,1,8,7,5,10,6,9]=>111011100=>476
[5,3,2,1,8,7,4,10,6,9]=>111101100=>492
[8,3,2,1,7,6,4,10,5,9]=>111111000=>504
[5,4,2,1,8,7,3,10,6,9]=>111101100=>492
[8,4,2,1,7,6,3,10,5,9]=>111111000=>504
[4,3,2,1,10,7,5,9,6,8]=>111011100=>476
[5,3,2,1,10,7,4,9,6,8]=>111101100=>492
[7,3,2,1,10,6,4,9,5,8]=>111111000=>504
[10,3,2,1,9,6,4,8,5,7]=>111111000=>504
[5,4,2,1,10,7,3,9,6,8]=>111101100=>492
[7,4,2,1,10,6,3,9,5,8]=>111111000=>504
[10,4,2,1,9,6,3,8,5,7]=>111111000=>504
[7,6,2,1,10,5,3,9,4,8]=>111111000=>504
[10,6,2,1,9,5,3,8,4,7]=>111111000=>504
[5,4,3,1,8,7,2,10,6,9]=>111101100=>492
[8,4,3,1,7,6,2,10,5,9]=>111111000=>504
[5,4,3,1,10,7,2,9,6,8]=>111101100=>492
[7,4,3,1,10,6,2,9,5,8]=>111111000=>504
[10,4,3,1,9,6,2,8,5,7]=>111111000=>504
[7,6,3,1,10,5,2,9,4,8]=>111111000=>504
[10,6,3,1,9,5,2,8,4,7]=>111111000=>504
[2,1,4,3,6,5,10,9,7,8]=>101010101=>341
[2,1,4,3,8,7,5,6,10,9]=>101010101=>341
[2,1,4,3,10,7,5,9,6,8]=>101011100=>348
[2,1,4,3,10,9,8,5,6,7]=>101010011=>339
[2,1,6,5,3,4,8,7,10,9]=>101010101=>341
[2,1,6,5,3,4,10,9,7,8]=>101010101=>341
[2,1,8,5,3,7,4,6,10,9]=>101110001=>369
[2,1,10,5,3,7,4,9,6,8]=>101111000=>376
[2,1,10,5,3,9,8,4,6,7]=>101110010=>370
[2,1,8,7,6,3,4,5,10,9]=>101001101=>333
[2,1,10,7,6,3,4,9,5,8]=>101011100=>348
[2,1,10,9,6,3,8,4,5,7]=>101101001=>361
[2,1,10,9,8,7,3,4,5,6]=>101000111=>327
[4,3,1,2,6,5,8,7,10,9]=>101010101=>341
[4,3,1,2,6,5,10,9,7,8]=>101010101=>341
[4,3,1,2,8,7,5,6,10,9]=>101010101=>341
[4,3,1,2,10,7,5,9,6,8]=>101011100=>348
[4,3,1,2,10,9,8,5,6,7]=>101010011=>339
[6,3,1,5,2,4,8,7,10,9]=>111000101=>453
[6,3,1,5,2,4,10,9,7,8]=>111000101=>453
[8,3,1,5,2,7,4,6,10,9]=>111100001=>481
[10,3,1,5,2,7,4,9,6,8]=>111101000=>488
[10,3,1,5,2,9,8,4,6,7]=>111100010=>482
[8,3,1,7,6,2,4,5,10,9]=>111001001=>457
[10,3,1,7,6,2,4,9,5,8]=>111011000=>472
[10,3,1,9,6,2,8,4,5,7]=>111101000=>488
[10,3,1,9,8,7,2,4,5,6]=>111000110=>454
[6,5,4,1,2,3,8,7,10,9]=>100110101=>309
[6,5,4,1,2,3,10,9,7,8]=>100110101=>309
[8,5,4,1,2,7,3,6,10,9]=>101110001=>369
[10,5,4,1,2,7,3,9,6,8]=>101111000=>376
[10,5,4,1,2,9,8,3,6,7]=>101110010=>370
[8,7,4,1,6,2,3,5,10,9]=>110100101=>421
[10,7,4,1,6,2,3,9,5,8]=>110110100=>436
[10,9,4,1,6,2,8,3,5,7]=>111100001=>481
[10,9,4,1,8,7,2,3,5,6]=>110100101=>421
[8,7,6,5,1,2,3,4,10,9]=>100011101=>285
[10,7,6,5,1,2,3,9,4,8]=>100111100=>316
[10,9,6,5,1,2,8,3,4,7]=>101011001=>345
[10,9,8,5,1,7,2,3,4,6]=>110010011=>403
[7,6,5,4,3,2,9,1,8]=>11111100=>252
[6,5,4,3,9,2,8,1,7]=>11111000=>248
[6,5,4,3,2,8,1,7,9]=>11111000=>248
[5,4,9,3,8,2,7,1,6]=>11110000=>240
[5,4,3,8,2,7,1,6,9]=>11110000=>240
[5,4,3,2,7,9,1,6,8]=>11110000=>240
[5,4,3,2,7,1,6,8,9]=>11110000=>240
[4,8,3,7,2,6,1,5,9]=>11100000=>224
[4,3,7,2,6,9,1,5,8]=>11100000=>224
[4,3,7,2,6,1,5,8,9]=>11100000=>224
[4,3,2,6,8,1,5,7,9]=>11100000=>224
[4,3,2,6,1,5,7,8,9]=>11100000=>224
[3,6,9,2,5,8,1,4,7]=>11000000=>192
[3,6,2,5,8,1,4,7,9]=>11000000=>192
[3,6,2,5,1,4,7,8,9]=>11000000=>192
[3,2,5,7,9,1,4,6,8]=>11000000=>192
[3,2,5,7,1,4,6,8,9]=>11000000=>192
[3,2,5,1,4,6,7,8,9]=>11000000=>192
[2,4,6,8,1,3,5,7,9]=>10000000=>128
[2,4,6,1,3,5,7,8,9]=>10000000=>128
[8,7,6,5,4,3,2,10,1,9]=>111111100=>508
[7,6,5,4,3,10,2,9,1,8]=>111111000=>504
[7,6,5,4,3,2,9,1,8,10]=>111111000=>504
[6,5,4,10,3,9,2,8,1,7]=>111110000=>496
[6,5,4,3,9,2,8,1,7,10]=>111110000=>496
[6,5,4,3,2,8,10,1,7,9]=>111110000=>496
[6,5,4,3,2,8,1,7,9,10]=>111110000=>496
[5,10,4,9,3,8,2,7,1,6]=>111100000=>480
[5,4,9,3,8,2,7,1,6,10]=>111100000=>480
[5,4,3,8,2,7,10,1,6,9]=>111100000=>480
[5,4,3,8,2,7,1,6,9,10]=>111100000=>480
[5,4,3,2,7,9,1,6,8,10]=>111100000=>480
[5,4,3,2,7,1,6,8,9,10]=>111100000=>480
[4,8,3,7,2,6,10,1,5,9]=>111000000=>448
[4,8,3,7,2,6,1,5,9,10]=>111000000=>448
[4,3,7,10,2,6,9,1,5,8]=>111000000=>448
[4,3,7,2,6,9,1,5,8,10]=>111000000=>448
[4,3,7,2,6,1,5,8,9,10]=>111000000=>448
[4,3,2,6,8,10,1,5,7,9]=>111000000=>448
[4,3,2,6,8,1,5,7,9,10]=>111000000=>448
[4,3,2,6,1,5,7,8,9,10]=>111000000=>448
[3,6,9,2,5,8,1,4,7,10]=>110000000=>384
[3,6,2,5,8,10,1,4,7,9]=>110000000=>384
[3,6,2,5,8,1,4,7,9,10]=>110000000=>384
[3,6,2,5,1,4,7,8,9,10]=>110000000=>384
[3,2,5,7,9,1,4,6,8,10]=>110000000=>384
[3,2,5,7,1,4,6,8,9,10]=>110000000=>384
[3,2,5,1,4,6,7,8,9,10]=>110000000=>384
[2,4,6,8,1,3,5,7,9,10]=>100000000=>256
[2,4,6,1,3,5,7,8,9,10]=>100000000=>256
[2,4,1,3,5,6,7,8,9,10]=>100000000=>256
[2,1,7,3,8,4,6,5]=>1011100=>92
[4,1,7,2,8,3,6,5]=>1110100=>116
[7,1,8,2,4,3,6,5]=>1110100=>116
[7,1,5,2,8,3,6,4]=>1111000=>120
[5,1,7,2,8,3,6,4]=>1111000=>120
[8,1,6,2,5,3,7,4]=>1111000=>120
[6,1,7,2,8,3,5,4]=>1111000=>120
[5,1,6,2,4,3,8,7]=>1110001=>113
[1,8,2,7,5,4,6,3]=>0111100=>60
[1,8,2,7,4,3,5,6]=>0111000=>56
[1,8,6,4,7,2,3,5]=>0101010=>42
[1,8,4,2,6,3,5,7]=>0111000=>56
[7,4,8,1,5,2,3,6]=>1101000=>104
[4,1,7,2,6,3,5,8]=>1110000=>112
[5,1,7,4,3,6,2,8]=>1111000=>120
[7,5,8,3,2,4,1,6]=>1110100=>116
[1,8,5,4,3,6,2,7]=>0111100=>60
[1,8,5,4,3,7,2,6]=>0111100=>60
[1,8,5,4,7,2,6,3]=>0111100=>60
[1,8,4,2,5,3,7,6]=>0111010=>58
[1,8,5,4,2,6,7,3]=>0111100=>60
[7,4,8,2,1,3,5,6]=>1101000=>104
[4,1,7,3,2,5,6,8]=>1110000=>112
[7,5,4,8,2,3,6,1]=>1101100=>108
[6,4,8,2,1,3,7,5]=>1101100=>108
[7,3,8,1,5,6,2,4]=>1110000=>112
[3,1,7,2,6,8,4,5]=>1101000=>104
[5,1,7,4,2,6,8,3]=>1111000=>120
[4,1,6,3,2,5,8,7]=>1110001=>113
[5,4,3,7,1,2,8,6]=>1011010=>90
[4,3,1,6,2,5,7,8]=>1110000=>112
[6,5,4,3,7,1,8,2]=>1111100=>124
[5,4,2,7,1,6,8,3]=>1111000=>120
[6,5,1,7,3,8,2,4]=>1110100=>116
[6,3,2,8,5,7,1,4]=>1110100=>116
[6,5,4,2,8,3,7,1]=>1111100=>124
[6,5,4,3,8,2,7,1]=>1111100=>124
[6,5,4,3,8,7,1,2]=>1011101=>93
[7,5,4,8,6,1,3,2]=>1101110=>110
[7,6,3,8,5,4,1,2]=>1011110=>94
[6,3,8,1,7,5,2,4]=>1110100=>116
[6,5,8,3,1,7,4,2]=>1111100=>124
[5,4,8,2,1,7,3,6]=>1111000=>120
[5,4,3,8,1,6,2,7]=>1111000=>120
[5,4,3,7,1,6,2,8]=>1111000=>120
[6,4,2,8,5,1,3,7]=>1101100=>108
[7,6,4,8,5,1,2,3]=>1001110=>78
[7,2,8,6,3,1,4,5]=>1110010=>114
[7,2,8,6,1,5,3,4]=>1110010=>114
[2,1,7,8,3,6,4,5]=>1011000=>88
[6,4,1,7,8,2,3,5]=>1101000=>104
[4,2,1,6,7,3,5,8]=>1110000=>112
[4,3,1,5,2,7,6,8]=>1110010=>114
[5,4,2,7,3,8,1,6]=>1111000=>120
[4,1,5,3,2,8,6,7]=>1110010=>114
[3,1,6,2,8,7,4,5]=>1101001=>105
[6,3,1,7,8,5,2,4]=>1110100=>116
[5,4,1,7,8,2,6,3]=>1111000=>120
[5,4,2,6,1,8,7,3]=>1111001=>121
[6,5,4,1,7,8,3,2]=>1111100=>124
[5,4,3,1,6,7,2,8]=>1111000=>120
[6,5,4,2,7,8,3,1]=>1111100=>124
[5,4,2,6,3,8,7,1]=>1111001=>121
[4,3,1,5,2,6,8,7]=>1110001=>113
[5,4,2,1,6,7,8,3]=>1111000=>120
[5,4,3,1,6,7,8,2]=>1111000=>120
[6,3,8,1,2,5,7,4]=>1011000=>88
[3,6,7,1,2,5,8,4]=>1001000=>72
[7,8,3,1,2,5,6,4]=>1011000=>88
[7,8,1,3,2,4,6,5]=>1100100=>100
[7,8,2,1,3,5,4,6]=>1101000=>104
[5,2,3,7,1,8,6,4]=>1101010=>106
[2,5,3,6,1,8,7,4]=>1011001=>89
[2,6,7,3,1,8,4,5]=>1011000=>88
[2,6,7,1,3,5,4,8]=>1001000=>72
[6,2,8,3,1,7,4,5]=>1111000=>120
[3,2,5,7,1,8,4,6]=>1101000=>104
[4,3,1,2,7,8,6,5]=>1010110=>86
[5,1,2,7,3,6,4,8]=>1011000=>88
[5,1,4,7,8,2,3,6]=>1100000=>96
[5,3,4,7,8,6,1,2]=>1010010=>82
[3,5,4,6,8,7,1,2]=>1001001=>73
[1,5,4,6,8,2,3,7]=>0101000=>40
[1,6,7,3,2,4,8,5]=>0110100=>52
[1,5,3,6,2,7,8,4]=>0111000=>56
[5,1,3,7,2,6,8,4]=>1101000=>104
[5,2,4,7,8,1,6,3]=>1110000=>112
[4,2,5,7,6,1,8,3]=>1110010=>114
[4,5,2,8,6,1,7,3]=>1110010=>114
[5,3,1,8,2,6,7,4]=>1111000=>120
[6,1,8,3,2,4,7,5]=>1110100=>116
[4,3,5,7,6,8,1,2]=>1010010=>82
[4,1,5,7,6,2,3,8]=>1100010=>98
[4,5,1,8,6,2,3,7]=>1100010=>98
[5,2,1,8,3,6,4,7]=>1111000=>120
[3,4,2,1,8,7,5,6]=>1100101=>101
[7,6,5,4,2,1,8,3]=>1111110=>126
[7,6,5,4,8,1,3,2]=>1101110=>110
[8,7,6,5,4,2,1,9,3]=>11111110=>254
[7,6,5,8,2,1,4,3]=>1110110=>118
[8,7,6,5,3,2,1,9,4]=>11111110=>254
[8,7,6,4,3,2,1,9,5]=>11111110=>254
[8,7,5,4,3,2,1,9,6]=>11111110=>254
[8,5,4,3,2,1,7,6]=>1111110=>126
[8,6,5,4,3,2,1,9,7]=>11111110=>254
[7,6,5,4,3,2,1,9,8]=>11111101=>253
[7,6,5,4,1,8,3,2]=>1111110=>126
[8,7,6,5,4,9,1,3,2]=>11011110=>222
[9,8,7,6,5,4,2,1,10,3]=>111111110=>510
[7,6,5,2,8,1,4,3]=>1110110=>118
[8,7,6,5,9,2,1,4,3]=>11101110=>238
[9,8,7,6,5,3,2,1,10,4]=>111111110=>510
[7,6,5,8,4,1,3,2]=>1101110=>110
[8,7,6,9,3,2,1,5,4]=>11110110=>246
[9,8,7,6,4,3,2,1,10,5]=>111111110=>510
[7,6,8,5,2,1,4,3]=>1110110=>118
[8,7,9,4,3,2,1,6,5]=>11111010=>250
[9,8,7,5,4,3,2,1,10,6]=>111111110=>510
[7,8,6,3,2,1,5,4]=>1111010=>122
[8,9,5,4,3,2,1,7,6]=>11111100=>252
[9,8,6,5,4,3,2,1,10,7]=>111111110=>510
[8,7,4,3,2,1,6,5]=>1111101=>125
[9,6,5,4,3,2,1,8,7]=>11111110=>254
[9,7,6,5,4,3,2,1,10,8]=>111111110=>510
[7,8,9,10,4,5,6,2,3,1]=>110100000=>416
[7,8,9,4,5,6,10,2,3,1]=>110100000=>416
[7,8,9,10,4,5,2,3,6,1]=>110100000=>416
[7,8,9,4,5,10,2,3,6,1]=>110100000=>416
[7,8,9,4,5,2,3,6,10,1]=>110100000=>416
[7,8,4,5,9,10,2,3,6,1]=>110100000=>416
[7,8,4,5,9,2,3,6,10,1]=>110100000=>416
[7,8,9,10,4,5,6,2,1,3]=>110100000=>416
[7,8,9,4,5,6,10,2,1,3]=>110100000=>416
[7,8,9,10,4,5,2,6,1,3]=>110100000=>416
[7,8,9,4,5,10,2,6,1,3]=>110100000=>416
[7,8,9,4,5,2,6,10,1,3]=>110100000=>416
[7,8,4,5,9,10,2,6,1,3]=>110100000=>416
[7,8,4,5,9,2,6,10,1,3]=>110100000=>416
[7,8,9,10,4,5,2,1,3,6]=>110100000=>416
[7,8,9,4,5,10,2,1,3,6]=>110100000=>416
[7,8,9,4,5,2,10,1,3,6]=>110100000=>416
[7,8,9,4,5,2,1,3,6,10]=>110100000=>416
[7,8,4,5,9,10,2,1,3,6]=>110100000=>416
[7,8,4,5,9,2,10,1,3,6]=>110100000=>416
[7,8,4,5,9,2,1,3,6,10]=>110100000=>416
[7,8,9,10,4,2,5,6,1,3]=>110100000=>416
[7,8,9,4,10,2,5,6,1,3]=>110100000=>416
[7,8,9,4,2,5,6,10,1,3]=>110100000=>416
[7,8,4,9,10,2,5,6,1,3]=>110100000=>416
[7,8,4,9,2,5,6,10,1,3]=>110100000=>416
[7,8,9,10,4,2,5,1,3,6]=>110100000=>416
[7,8,9,4,10,2,5,1,3,6]=>110100000=>416
[7,8,9,4,2,5,10,1,3,6]=>110100000=>416
[7,8,9,4,2,5,1,3,6,10]=>110100000=>416
[7,8,4,9,10,2,5,1,3,6]=>110100000=>416
[7,8,4,9,2,5,10,1,3,6]=>110100000=>416
[7,8,4,9,2,5,1,3,6,10]=>110100000=>416
[7,8,4,2,5,9,10,1,3,6]=>110100000=>416
[7,8,4,2,5,9,1,3,6,10]=>110100000=>416
[7,4,8,9,10,2,5,6,1,3]=>110100000=>416
[7,4,8,9,2,5,6,10,1,3]=>110100000=>416
[7,4,8,9,10,2,5,1,3,6]=>110100000=>416
[7,4,8,9,2,5,10,1,3,6]=>110100000=>416
[7,4,8,9,2,5,1,3,6,10]=>110100000=>416
[7,4,8,2,5,9,10,1,3,6]=>110100000=>416
[7,8,2,4,5,1,3,6]=>1100000=>96
[4,6,7,2,5,1,3,8]=>1100000=>96
[7,8,1,3,2,4,5,6]=>1100000=>96
[7,8,4,1,5,2,3,6]=>1101000=>104
[3,6,7,2,1,4,5,8]=>1100000=>96
[5,2,3,6,1,4,7,8]=>1100000=>96
[2,5,3,6,1,4,7,8]=>1010000=>80
[2,6,7,3,1,4,5,8]=>1010000=>80
[4,6,7,1,5,2,3,8]=>1100000=>96
[4,6,7,3,5,8,1,2]=>1010000=>80
[6,4,7,1,5,2,3,8]=>1101000=>104
[6,2,7,3,1,4,5,8]=>1110000=>112
[3,2,5,6,1,4,7,8]=>1100000=>96
[3,5,2,6,1,4,7,8]=>1100000=>96
[5,1,4,6,7,2,3,8]=>1100000=>96
[3,5,4,6,7,8,1,2]=>1001000=>72
[1,5,4,6,7,2,3,8]=>0101000=>40
[1,6,7,3,2,4,5,8]=>0110000=>48
[1,5,3,6,2,4,7,8]=>0110000=>48
[5,1,3,6,2,4,7,8]=>1100000=>96
[5,2,4,6,7,1,3,8]=>1100000=>96
[2,5,4,6,7,1,3,8]=>1001000=>72
[2,6,7,4,5,1,3,8]=>1001000=>72
[6,2,7,4,5,1,3,8]=>1101000=>104
[4,2,5,6,7,1,3,8]=>1100000=>96
[4,5,2,6,7,1,3,8]=>1100000=>96
[5,3,1,6,2,4,7,8]=>1110000=>112
[6,1,7,3,2,4,5,8]=>1110000=>112
[6,1,7,4,5,2,3,8]=>1101000=>104
[6,3,7,4,5,8,1,2]=>1011000=>88
[5,4,1,6,7,2,3,8]=>1101000=>104
[5,2,1,6,3,4,7,8]=>1110000=>112
[7,3,2,5,4,1,6,8]=>1111000=>120
[7,3,5,4,2,1,6,8]=>1111000=>120
[7,3,5,2,4,1,6,8]=>1110000=>112
[7,6,5,2,1,4,3,8]=>1110110=>118
[1,3,6,7,5,2,8,4]=>0101100=>44
[7,3,4,1,6,2,5,8]=>1110000=>112
[7,3,4,1,6,5,2,8]=>1110100=>116
[7,3,4,1,5,6,2,8]=>1110000=>112
[7,3,2,5,1,6,4,8]=>1111000=>120
[7,6,5,4,1,3,2,8]=>1101110=>110
[7,3,4,1,5,2,6,8]=>1110000=>112
[1,3,6,7,2,5,8,4]=>0101000=>40
[1,7,4,6,2,8,5,3]=>0111100=>60
[4,3,1,7,2,6,8,5]=>1110100=>116
[5,6,1,4,7,3,8,2]=>1110000=>112
[5,3,2,1,7,4,8,6]=>1111010=>122
[1,3,4,5,8,7,2,6]=>0100001=>33
[6,3,4,5,8,1,7,2]=>1110000=>112
[2,4,5,1,6,8,7,3]=>1010001=>81
[3,1,2,5,6,8,7,4]=>1001001=>73
[4,3,2,5,6,8,1,7]=>1110000=>112
[3,7,5,4,6,8,1,2]=>1001100=>76
[3,1,4,6,5,8,2,7]=>1100100=>100
[2,3,4,5,8,6,1,7]=>1000010=>66
[2,3,4,5,8,1,7,6]=>1000010=>66
[3,1,4,6,5,8,7,2]=>1100101=>101
[3,7,5,4,6,8,2,1]=>1101100=>108
[5,6,1,4,7,2,8,3]=>1110000=>112
[4,3,1,7,5,6,8,2]=>1110100=>116
[4,3,1,7,6,5,8,2]=>1110110=>118
[3,1,4,6,7,8,5,2]=>1100100=>100
[1,4,5,2,6,8,7,3]=>0110001=>49
[3,7,5,2,6,8,1,4]=>1100100=>100
[3,7,5,2,6,8,4,1]=>1101100=>108
[5,6,1,2,7,4,8,3]=>1011000=>88
[6,3,5,2,4,7,8,1]=>1110000=>112
[5,3,2,1,4,7,8,6]=>1110010=>114
[5,3,1,4,2,7,8,6]=>1110010=>114
[5,3,1,2,4,7,8,6]=>1010010=>82
[7,1,5,2,6,8,4,3]=>1111000=>120
[7,1,5,2,6,8,3,4]=>1110000=>112
[1,7,4,6,5,8,3,2]=>0111100=>60
[2,7,4,6,1,8,3,5]=>1011000=>88
[2,7,4,6,1,8,5,3]=>1011100=>92
[2,3,6,7,1,5,8,4]=>1001000=>72
[2,3,6,7,5,1,8,4]=>1001100=>76
[4,3,2,6,7,1,8,5]=>1110100=>116
[7,3,2,5,6,8,1,4]=>1110000=>112
[7,1,5,4,6,8,2,3]=>1101000=>104
[2,7,4,6,5,8,1,3]=>1001100=>76
[7,3,4,5,8,6,1,2]=>1010010=>82
[7,3,4,5,8,1,6,2]=>1110000=>112
[7,3,4,5,8,1,2,6]=>1010000=>80
[1,3,4,5,8,6,2,7]=>0100010=>34
[1,3,4,5,8,2,7,6]=>0100010=>34
[6,3,4,5,8,2,1,7]=>1110000=>112
[6,3,4,5,8,2,7,1]=>1110000=>112
[7,3,4,5,8,6,2,1]=>1110010=>114
[2,7,4,6,5,8,3,1]=>1011100=>92
[7,1,5,4,6,8,3,2]=>1111000=>120
[7,3,2,5,6,8,4,1]=>1111000=>120
[5,7,4,6,1,8,3,2]=>1111000=>120
[6,3,4,5,8,1,2,7]=>1010000=>80
[7,3,4,5,8,2,1,6]=>1110000=>112
[7,3,4,5,8,2,6,1]=>1110000=>112
[4,7,6,1,8,2,5,3]=>1110010=>114
[4,8,6,1,7,5,2,3]=>1100110=>102
[4,7,8,2,6,1,5,3]=>1110000=>112
[7,6,4,2,8,3,5,1]=>1111010=>122
[8,6,4,2,7,5,3,1]=>1111110=>126
[8,4,7,3,6,5,1,2]=>1011100=>92
[8,4,6,1,7,5,3,2]=>1111100=>124
[6,4,7,1,8,3,2,5]=>1111000=>120
[7,4,8,3,6,1,5,2]=>1111000=>120
[7,8,4,3,6,2,5,1]=>1111000=>120
[8,10,7,9,5,6,3,4,1,2]=>101010100=>340
[9,10,6,8,5,7,3,4,1,2]=>101011000=>344
[8,10,6,9,5,7,3,4,1,2]=>101011000=>344
[7,10,6,9,5,8,3,4,1,2]=>101011000=>344
[9,10,7,8,4,6,3,5,1,2]=>101100100=>356
[8,10,7,9,4,6,3,5,1,2]=>101100100=>356
[9,10,6,8,4,7,3,5,1,2]=>101101000=>360
[8,10,6,9,4,7,3,5,1,2]=>101101000=>360
[7,10,6,9,4,8,3,5,1,2]=>101101000=>360
[9,10,5,8,4,7,3,6,1,2]=>101110000=>368
[8,10,5,9,4,7,3,6,1,2]=>101110000=>368
[7,10,5,9,4,8,3,6,1,2]=>101110000=>368
[6,10,5,9,4,8,3,7,1,2]=>101110000=>368
[9,10,7,8,5,6,2,4,1,3]=>110010100=>404
[8,10,7,9,5,6,2,4,1,3]=>110010100=>404
[9,10,6,8,5,7,2,4,1,3]=>110011000=>408
[8,10,6,9,5,7,2,4,1,3]=>110011000=>408
[7,10,6,9,5,8,2,4,1,3]=>110011000=>408
[9,10,7,8,4,6,2,5,1,3]=>110100100=>420
[8,10,7,9,4,6,2,5,1,3]=>110100100=>420
[9,10,6,8,4,7,2,5,1,3]=>110101000=>424
[8,10,6,9,4,7,2,5,1,3]=>110101000=>424
[7,10,6,9,4,8,2,5,1,3]=>110101000=>424
[9,10,5,8,4,7,2,6,1,3]=>110110000=>432
[8,10,5,9,4,7,2,6,1,3]=>110110000=>432
[7,10,5,9,4,8,2,6,1,3]=>110110000=>432
[6,10,5,9,4,8,2,7,1,3]=>110110000=>432
[9,10,7,8,3,6,2,5,1,4]=>111000100=>452
[8,10,7,9,3,6,2,5,1,4]=>111000100=>452
[9,10,6,8,3,7,2,5,1,4]=>111001000=>456
[8,10,6,9,3,7,2,5,1,4]=>111001000=>456
[7,10,6,9,3,8,2,5,1,4]=>111001000=>456
[9,10,5,8,3,7,2,6,1,4]=>111010000=>464
[8,10,5,9,3,7,2,6,1,4]=>111010000=>464
[7,10,5,9,3,8,2,6,1,4]=>111010000=>464
[6,10,5,9,3,8,2,7,1,4]=>111010000=>464
[9,10,4,8,3,7,2,6,1,5]=>111100000=>480
[8,10,4,9,3,7,2,6,1,5]=>111100000=>480
[7,10,4,9,3,8,2,6,1,5]=>111100000=>480
[6,10,4,9,3,8,2,7,1,5]=>111100000=>480
[6,2,1,7,3,5,4,8]=>1111000=>120
[2,1,8,6,3,5,4,7]=>1011010=>90
[2,1,7,3,5,8,6,4]=>1011010=>90
[2,7,3,1,5,4,6,8]=>1011000=>88
[2,6,3,1,4,8,5,7]=>1010100=>84
[4,2,1,8,3,6,7,5]=>1110100=>116
[2,1,8,6,3,5,7,4]=>1011010=>90
[6,2,1,7,3,5,8,4]=>1111000=>120
[2,7,3,1,4,8,5,6]=>1010100=>84
[3,2,1,6,4,5,7,8]=>1101000=>104
[3,2,1,5,7,8,4,6]=>1101000=>104
[2,1,7,3,6,8,4,5]=>1011000=>88
[2,7,3,1,5,6,8,4]=>1011000=>88
[2,4,7,5,1,6,8,3]=>1010100=>84
[4,3,7,5,6,1,8,2]=>1110100=>116
[4,3,6,8,5,1,7,2]=>1110100=>116
[2,6,1,8,3,5,7,4]=>1011000=>88
[2,1,6,8,3,7,4,5]=>1011000=>88
[2,1,8,3,5,7,4,6]=>1011000=>88
[3,2,1,5,6,8,4,7]=>1101000=>104
[3,2,1,5,7,4,6,8]=>1101000=>104
[2,1,7,3,6,4,5,8]=>1011000=>88
[2,1,6,3,5,8,4,7]=>1011000=>88
[8,2,4,1,7,5,6,3]=>1110100=>116
[3,8,4,7,5,1,6,2]=>1101100=>108
[8,4,3,6,1,7,5,2]=>1111100=>124
[8,2,1,7,3,5,4,6]=>1111000=>120
[2,6,1,8,3,5,4,7]=>1011000=>88
[2,7,3,1,5,6,4,8]=>1011000=>88
[2,4,7,5,1,6,3,8]=>1010100=>84
[8,2,4,1,7,5,3,6]=>1110100=>116
[5,8,6,3,1,7,4,2]=>1111010=>122
[2,4,7,1,8,5,3,6]=>1010100=>84
[2,4,8,5,1,6,3,7]=>1010100=>84
[6,2,1,7,3,4,8,5]=>1110100=>116
[6,2,1,7,8,3,5,4]=>1111000=>120
[2,7,1,8,3,5,6,4]=>1011000=>88
[2,1,8,3,6,4,5,7]=>1011000=>88
[3,2,1,6,7,4,5,8]=>1101000=>104
[3,2,1,7,4,5,6,8]=>1101000=>104
[3,2,1,6,8,4,5,7]=>1101000=>104
[2,1,8,3,7,4,5,6]=>1011000=>88
[2,1,8,3,6,7,4,5]=>1011000=>88
[2,4,8,5,1,6,7,3]=>1010100=>84
[4,3,8,5,6,1,7,2]=>1110100=>116
[3,2,1,8,4,5,6,7]=>1101000=>104
[1,6,8,3,7,2,4,5]=>0110000=>48
[3,8,1,5,7,2,4,6]=>1100000=>96
[1,2,6,8,4,7,3,5]=>0011000=>24
[6,1,5,8,2,4,7,3]=>1110000=>112
[1,2,4,8,3,6,7,5]=>0010100=>20
[4,1,2,7,8,3,6,5]=>1010100=>84
[3,5,7,4,8,6,1,2]=>1001010=>74
[5,3,8,4,7,6,1,2]=>1011010=>90
[8,7,1,2,5,4,6,3]=>1011001=>89
[5,8,1,2,3,7,6,4]=>1001010=>74
[1,2,8,4,3,5,7,6]=>0011010=>26
[1,2,5,3,7,6,4,8]=>0011010=>26
[6,1,2,8,7,4,5,3]=>1011001=>89
[7,1,6,2,8,4,5,3]=>1111000=>120
[1,2,6,3,8,5,4,7]=>0011100=>28
[1,2,8,5,3,6,4,7]=>0011100=>28
[1,2,7,3,8,5,4,6]=>0011100=>28
[4,1,2,7,8,6,3,5]=>1010010=>82
[1,6,2,8,4,3,5,7]=>0111000=>56
[1,6,4,2,7,3,5,8]=>0111000=>56
[1,8,6,3,2,4,5,7]=>0110010=>50
[1,7,3,2,8,4,5,6]=>0111000=>56
[3,1,7,8,6,2,4,5]=>1100010=>98
[1,8,7,2,4,5,6,3]=>0110001=>49
[1,8,7,3,5,6,2,4]=>0110001=>49
[1,3,2,8,7,4,5,6]=>0101001=>41
[1,8,3,2,6,4,5,7]=>0111000=>56
[1,7,6,3,2,4,5,8]=>0110010=>50
[1,2,8,4,3,7,5,6]=>0011100=>28
[8,5,1,7,2,4,6,3]=>1110100=>116
[5,3,8,7,4,6,1,2]=>1011001=>89
[3,8,6,4,7,5,1,2]=>1001110=>78
[6,1,8,2,7,4,5,3]=>1111000=>120
[1,2,5,3,8,6,4,7]=>0011010=>26
[1,2,7,5,3,6,4,8]=>0011100=>28
[1,2,6,3,7,5,4,8]=>0011100=>28
[1,2,3,7,5,4,8,6]=>0001110=>14
[3,7,4,8,6,5,1,2]=>1001110=>78
[1,8,2,7,6,4,5,3]=>0111010=>58
[2,9,8,7,6,5,4,1,3]=>10011111=>159
[2,8,7,6,5,1,4,3]=>1010111=>87
[7,1,6,3,2,5,4,8]=>1111000=>120
[2,7,6,3,1,5,8,4]=>1011010=>90
[1,8,4,3,6,5,2,7]=>0111100=>60
[1,8,4,6,5,3,2,7]=>0111100=>60
[7,4,2,1,6,5,3,8]=>1111100=>124
[7,6,1,4,3,5,2,8]=>1110010=>114
[7,4,1,3,5,2,6,8]=>1101000=>104
[7,3,1,2,4,6,5,8]=>1010100=>84
[1,8,6,3,4,5,2,7]=>0110010=>50
[1,8,6,7,4,2,5,3]=>0111010=>58
[3,6,2,1,4,8,5,7]=>1100100=>100
[3,1,7,2,4,6,8,5]=>1100100=>100
[3,4,7,1,5,2,8,6]=>1100010=>98
[3,6,7,4,1,5,8,2]=>1101000=>104
[4,3,2,7,1,5,8,6]=>1110010=>114
[3,1,2,8,6,5,4,7]=>1001110=>78
[5,4,8,6,1,2,3,7]=>1001010=>74
[5,6,8,7,4,3,1,2]=>1011001=>89
[1,8,2,7,4,3,6,5]=>0111100=>60
[6,5,8,2,3,7,1,4]=>1100100=>100
[6,4,8,5,3,1,7,2]=>1111100=>124
[5,7,8,6,1,3,2,4]=>1100010=>98
[2,4,8,1,6,3,7,5]=>1010100=>84
[3,1,2,8,6,4,7,5]=>1001110=>78
[5,3,2,6,4,8,1,7]=>1111000=>120
[4,1,6,3,5,8,2,7]=>1110000=>112
[2,4,5,3,8,6,1,7]=>1010010=>82
[1,8,5,3,2,7,6,4]=>0111110=>62
[1,8,4,5,2,6,7,3]=>0111000=>56
[4,1,2,7,6,5,8,3]=>1010110=>86
[2,4,1,6,7,8,5,3]=>1010100=>84
[1,8,4,3,6,2,7,5]=>0111100=>60
[5,6,7,3,2,8,1,4]=>1110000=>112
[2,5,7,3,6,8,4,1]=>1011000=>88
[5,3,2,1,4,8,6,7]=>1110010=>114
[5,3,1,4,2,8,6,7]=>1110010=>114
[7,6,1,3,8,5,4,2]=>1101110=>110
[3,4,7,8,1,2,6,5]=>1000100=>68
[3,6,7,8,1,4,5,2]=>1100000=>96
[3,6,2,8,1,5,4,7]=>1101000=>104
[2,3,6,8,5,1,4,7]=>1000100=>68
[3,1,6,4,8,2,5,7]=>1101000=>104
[7,3,2,6,8,5,1,4]=>1110100=>116
[7,3,5,8,4,6,1,2]=>1011000=>88
[7,5,2,8,4,1,6,3]=>1111100=>124
[7,4,5,8,2,1,3,6]=>1101000=>104
[1,8,5,2,4,6,3,7]=>0110100=>52
[1,8,4,2,3,5,7,6]=>0101010=>42
[6,4,2,8,3,5,1,7]=>1111000=>120
[6,3,4,8,2,5,7,1]=>1110000=>112
[7,5,4,8,3,6,2,1]=>1111100=>124
[2,7,4,8,5,3,6,1]=>1011100=>92
[7,1,5,4,8,3,6,2]=>1111000=>120
[7,3,2,5,8,4,6,1]=>1111000=>120
[8,4,6,3,7,2,5,1]=>1111000=>120
[7,4,6,3,8,5,1,2]=>1011100=>92
[2,5,6,8,3,4,1,7]=>1010000=>80
[8,4,6,2,7,5,3,1]=>1111100=>124
[8,5,6,7,2,4,3,1]=>1110100=>116
[2,5,6,8,4,3,1,7]=>1011000=>88
[2,5,7,8,4,1,3,6]=>1001000=>72
[6,5,7,8,4,1,3,2]=>1101100=>108
[7,5,6,8,2,4,1,3]=>1100100=>100
[7,4,6,2,8,5,1,3]=>1101100=>108
[4,3,2,6,8,5,1,7]=>1110100=>116
[3,5,6,8,2,4,1,7]=>1100000=>96
[3,5,6,8,4,2,1,7]=>1101000=>104
[2,6,7,8,1,4,5,3]=>1010000=>80
[3,6,7,8,1,4,2,5]=>1100000=>96
[3,5,7,8,2,1,4,6]=>1100000=>96
[2,6,7,8,1,4,3,5]=>1010000=>80
[6,5,7,8,3,1,4,2]=>1110100=>116
[2,5,7,8,3,1,4,6]=>1010000=>80
[2,4,7,3,8,1,5,6]=>1010000=>80
[6,4,7,3,8,1,5,2]=>1111000=>120
[6,4,7,3,8,1,2,5]=>1011000=>88
[7,4,6,3,8,2,1,5]=>1111000=>120
[6,3,2,5,4,8,1,7]=>1111000=>120
[6,4,5,2,3,8,1,7]=>1101000=>104
[6,4,5,3,2,8,1,7]=>1111000=>120
[5,4,6,3,8,2,1,7]=>1111000=>120
[5,4,7,3,8,1,6,2]=>1111000=>120
[2,5,7,8,3,1,6,4]=>1011000=>88
[4,5,7,8,3,1,2,6]=>1010000=>80
[4,5,6,8,2,3,1,7]=>1100000=>96
[5,4,6,2,8,3,1,7]=>1111000=>120
[5,3,2,6,8,4,1,7]=>1111000=>120
[5,4,7,2,8,1,3,6]=>1101000=>104
[4,5,7,8,2,1,3,6]=>1100000=>96
[4,6,7,8,1,3,2,5]=>1100000=>96
[4,6,7,8,1,3,5,2]=>1100000=>96
[2,6,7,8,1,3,5,4]=>1001000=>72
[2,6,7,8,1,5,3,4]=>1010000=>80
[4,6,7,8,1,5,2,3]=>1100000=>96
[4,6,7,8,1,2,5,3]=>1010000=>80
[4,5,7,8,2,1,6,3]=>1110000=>112
[5,4,7,2,8,1,6,3]=>1111000=>120
[5,3,2,7,8,1,6,4]=>1111000=>120
[4,3,2,7,8,1,6,5]=>1110100=>116
[3,5,7,8,2,1,6,4]=>1101000=>104
[3,6,7,8,1,2,5,4]=>1001000=>72
[3,6,7,8,1,5,2,4]=>1100000=>96
[3,6,7,8,1,5,4,2]=>1101000=>104
[2,6,7,8,1,5,4,3]=>1011000=>88
[3,4,5,6,7,8,9,1,2,10]=>100000000=>256
[2,4,5,6,7,8,1,3,9]=>10000000=>128
[3,4,5,6,7,1,8,2,9]=>11000000=>192
[1,3,5,6,7,8,9,2,4]=>01000000=>64
[1,4,5,6,7,8,2,9,3]=>01100000=>96
[1,4,5,6,7,8,9,10,2,3]=>010000000=>128
[4,2,7,1,5,3,8,6]=>1110010=>114
[4,2,8,6,1,5,3,7]=>1110010=>114
[3,2,6,7,5,1,4,8]=>1100100=>100
[2,7,1,3,5,4,8,6]=>1001010=>74
[4,7,2,1,5,8,6,3]=>1110010=>114
[7,2,1,3,5,8,6,4]=>1101010=>106
[2,3,6,4,7,1,5,8]=>1001000=>72
[1,3,4,8,2,7,5,6]=>0100100=>36
[3,1,4,8,2,6,7,5]=>1100100=>100
[8,3,1,6,2,5,7,4]=>1111000=>120
[4,8,6,2,1,5,7,3]=>1110010=>114
[4,8,3,6,5,1,7,2]=>1110100=>116
[6,4,7,3,5,1,8,2]=>1111000=>120
[6,4,7,5,1,8,2,3]=>1101100=>108
[3,6,1,7,5,8,2,4]=>1100100=>100
[7,3,5,1,6,8,2,4]=>1110000=>112
[4,7,3,5,6,1,8,2]=>1110000=>112
[3,4,6,8,5,1,7,2]=>1100100=>100
[4,6,8,2,1,5,7,3]=>1110000=>112
[6,8,2,1,3,5,7,4]=>1101000=>104
[1,8,2,3,5,7,4,6]=>0101000=>40
[2,7,3,6,1,4,5,8]=>1010000=>80
[2,6,1,3,5,8,4,7]=>1001000=>72
[7,3,2,5,6,1,4,8]=>1110000=>112
[4,7,5,2,6,1,3,8]=>1100100=>100
[4,6,2,8,1,5,3,7]=>1110000=>112
[8,4,1,2,7,5,3,6]=>1011100=>92
[4,5,6,2,7,1,3,8]=>1100000=>96
[8,5,1,2,6,3,4,7]=>1010100=>84
[1,6,2,7,4,8,3,5]=>0111000=>56
[6,2,1,7,8,5,3,4]=>1110100=>116
[6,7,3,8,4,1,5,2]=>1111000=>120
[2,7,8,4,1,5,6,3]=>1011000=>88
[2,7,1,8,5,6,3,4]=>1010100=>84
[8,2,5,1,6,7,3,4]=>1110000=>112
[8,2,4,5,1,6,7,3]=>1110000=>112
[3,8,4,5,6,1,7,2]=>1101000=>104
[4,5,8,3,6,7,1,2]=>1010000=>80
[4,5,8,3,7,6,1,2]=>1010010=>82
[4,2,8,3,7,1,6,5]=>1110100=>116
[7,2,3,4,8,1,6,5]=>1100100=>100
[7,2,3,4,8,1,5,6]=>1100000=>96
[7,6,3,4,8,5,1,2]=>1010110=>86
[7,6,3,5,8,4,1,2]=>1011010=>90
[7,6,3,8,4,5,1,2]=>1011010=>90
[7,2,3,8,5,1,4,6]=>1100100=>100
[7,2,3,8,5,1,6,4]=>1101100=>108
[2,6,4,8,1,5,7,3]=>1011000=>88
[7,2,3,8,4,1,5,6]=>1101000=>104
[7,2,3,5,8,1,4,6]=>1100000=>96
[7,8,2,3,6,1,4,5]=>1100000=>96
[7,8,2,3,6,1,5,4]=>1101000=>104
[4,2,6,3,7,1,5,8]=>1110000=>112
[7,2,3,5,8,1,6,4]=>1101000=>104
[7,2,3,8,4,1,6,5]=>1101100=>108
[2,6,4,8,1,3,7,5]=>1001100=>76
[3,6,4,8,1,7,5,2]=>1101100=>108
[7,6,5,1,2,3,8,4]=>1001110=>78
[7,6,5,1,4,2,8,3]=>1110110=>118
[2,6,4,5,1,8,7,3]=>1011001=>89
[3,5,6,4,1,2,7,8]=>1001000=>72
[7,8,5,4,1,2,6,3]=>1011100=>92
[3,5,6,4,1,2,8,7]=>1001001=>73
[7,6,5,1,4,2,3,8]=>1100110=>102
[7,6,5,1,2,4,3,8]=>1010110=>86
[7,6,5,1,2,4,8,3]=>1010110=>86
[7,6,5,1,3,2,8,4]=>1101110=>110
[7,6,5,1,3,2,4,8]=>1100110=>102
[7,6,5,1,3,4,2,8]=>1100110=>102
[7,2,3,4,5,1,8,6]=>1100010=>98
[2,6,4,3,1,5,8,7]=>1011001=>89
[2,6,4,3,1,8,5,7]=>1011100=>92
[2,6,4,3,1,8,7,5]=>1011101=>93
[3,5,8,4,1,2,7,6]=>1001010=>74
[3,5,8,4,1,2,6,7]=>1001000=>72
[3,5,8,4,1,6,2,7]=>1101000=>104
[4,2,8,3,6,1,7,5]=>1110100=>116
[3,5,8,4,1,6,7,2]=>1101000=>104
[2,5,8,4,1,7,3,6]=>1011000=>88
[3,6,4,2,1,7,8,5]=>1101100=>108
[3,6,4,2,1,7,5,8]=>1101100=>108
[3,5,6,4,1,8,7,2]=>1101001=>105
[2,6,4,5,1,3,7,8]=>1001000=>72
[7,6,5,1,4,3,8,2]=>1110110=>118
[7,6,5,1,2,8,4,3]=>1011110=>94
[7,6,5,1,2,8,3,4]=>1010110=>86
[7,6,5,1,8,2,4,3]=>1110110=>118
[7,6,5,1,8,2,3,4]=>1100110=>102
[7,6,5,1,8,3,2,4]=>1110110=>118
[7,6,5,1,4,8,2,3]=>1100110=>102
[3,6,4,5,1,7,2,8]=>1101000=>104
[2,5,6,4,1,7,8,3]=>1011000=>88
[7,8,5,4,1,6,3,2]=>1111100=>124
[2,5,6,4,1,7,3,8]=>1011000=>88
[3,6,4,5,1,7,8,2]=>1101000=>104
[7,6,5,1,4,8,3,2]=>1110110=>118
[7,6,5,1,8,3,4,2]=>1110110=>118
[7,6,5,1,8,4,2,3]=>1101110=>110
[4,1,7,6,2,8,5,3]=>1110110=>118
[7,8,6,2,1,3,5,4]=>1101010=>106
[3,7,6,1,2,8,4,5]=>1001010=>74
[2,6,5,3,1,4,8,7]=>1010101=>85
[4,6,1,5,3,2,8,7]=>1110001=>113
[3,6,1,4,2,5,8,7]=>1100001=>97
[2,6,4,5,7,8,1,3]=>1001000=>72
[8,7,1,6,5,2,4,3]=>1110101=>117
[7,2,5,6,8,1,3,4]=>1100000=>96
[6,1,3,4,2,8,7,5]=>1100101=>101
[2,4,5,6,1,8,7,3]=>1010001=>81
[8,4,1,6,5,7,3,2]=>1111100=>124
[2,8,3,4,7,5,1,6]=>1010100=>84
[6,8,2,7,4,3,5,1]=>1111000=>120
[4,7,8,5,1,6,3,2]=>1110100=>116
[8,2,6,4,7,3,5,1]=>1111000=>120
[4,8,6,1,7,3,2,5]=>1110010=>114
[8,7,3,2,1,5,4,6]=>1111001=>121
[3,8,5,1,7,2,4,6]=>1100100=>100
[6,8,7,1,3,2,4,5]=>1100001=>97
[2,5,1,8,7,4,6,3]=>1011001=>89
[3,7,1,8,4,5,6,2]=>1101000=>104
[6,2,3,8,4,7,5,1]=>1101100=>108
[8,6,4,3,1,7,2,5]=>1111010=>122
[8,3,7,4,6,1,2,5]=>1011000=>88
[7,1,3,8,6,4,5,2]=>1101010=>106
[2,3,5,8,6,7,4,1]=>1001010=>74
[7,4,2,1,8,6,5,3]=>1111110=>126
[4,6,7,2,5,8,3,1]=>1110000=>112
[7,6,2,5,3,8,1,4]=>1110010=>114
[6,2,1,3,4,8,7,5]=>1100101=>101
[6,5,4,2,8,3,1,7]=>1111100=>124
[5,4,3,1,8,7,2,6]=>1111001=>121
[6,1,4,3,8,5,2,7]=>1110100=>116
[4,7,6,2,8,1,5,3]=>1110010=>114
[6,4,5,1,7,8,3,2]=>1111000=>120
[4,2,3,1,7,8,6,5]=>1100110=>102
[3,4,2,1,8,6,7,5]=>1100110=>102
[2,7,6,8,1,5,3,4]=>1010010=>82
[6,4,5,8,3,1,2,7]=>1011000=>88
[8,1,3,2,5,6,7,4]=>1101000=>104
[3,6,8,1,5,2,4,7]=>1100000=>96
[3,2,8,7,4,5,1,6]=>1101001=>105
[6,3,8,5,7,4,2,1]=>1111100=>124
[7,4,6,8,5,1,2,3]=>1001100=>76
[2,1,4,8,7,5,3,6]=>1010101=>85
[2,1,6,8,3,7,5,4]=>1011100=>92
[3,6,8,2,4,1,5,7]=>1100000=>96
[6,2,8,1,7,5,4,3]=>1111100=>124
[2,6,5,4,8,1,3,7]=>1001100=>76
[6,5,3,4,8,1,7,2]=>1110100=>116
[8,4,3,2,5,1,7,6]=>1111010=>122
[4,2,8,1,5,3,6,7]=>1110000=>112
[5,1,8,2,6,4,3,7]=>1111000=>120
[7,4,8,6,2,1,3,5]=>1101010=>106
[4,6,2,8,3,7,5,1]=>1110100=>116
[2,1,5,8,3,6,4,7]=>1011000=>88
[2,8,5,3,6,7,1,4]=>1010100=>84
[7,8,5,6,4,1,3,2]=>1101100=>108
[5,8,4,1,6,3,7,2]=>1111000=>120
[4,8,1,3,5,7,6,2]=>1100010=>98
[3,8,1,4,5,6,2,7]=>1100000=>96
[9,7,8,5,6,3,1,4,2]=>11101010=>234
[9,7,8,5,3,6,1,4,2]=>11101010=>234
[9,7,5,8,3,6,1,4,2]=>11101010=>234
[7,9,5,8,3,6,1,4,2]=>11101000=>232
[7,6,8,3,5,1,4,2]=>1110010=>114
[8,9,5,7,3,6,1,4,2]=>11101000=>232
[8,9,6,7,3,5,1,4,2]=>11100100=>228
[8,9,6,7,4,5,1,3,2]=>11010100=>212
[8,9,6,7,4,5,2,3,1]=>11010100=>212
[9,10,7,8,5,6,3,1,4,2]=>111010100=>468
[9,7,8,5,3,1,6,4,2]=>11111010=>250
[9,10,7,8,5,3,6,1,4,2]=>111010100=>468
[9,7,5,3,8,6,1,4,2]=>11101110=>238
[9,10,7,5,8,3,6,1,4,2]=>111010100=>468
[7,5,9,8,3,6,1,4,2]=>11101001=>233
[9,7,10,5,8,3,6,1,4,2]=>111010100=>468
[7,8,6,3,5,1,4,2]=>1110010=>114
[5,3,8,7,6,1,4,2]=>1110011=>115
[9,8,5,7,3,6,1,4,2]=>11101001=>233
[10,7,9,5,8,3,6,1,4,2]=>111010100=>468
[7,9,6,8,3,5,1,4,2]=>11100100=>228
[10,8,9,5,7,3,6,1,4,2]=>111010010=>466
[6,5,8,4,7,1,3,2]=>1101100=>108
[8,9,5,7,4,6,1,3,2]=>11011000=>216
[10,8,9,6,7,3,5,1,4,2]=>111001010=>458
[8,9,6,7,3,5,2,4,1]=>11100100=>228
[10,8,9,6,7,4,5,1,3,2]=>110101010=>426
[6,7,4,2,5,3,1,8]=>1111000=>120
[7,6,4,8,3,1,5,2]=>1111010=>122
[7,4,8,5,6,1,3,2]=>1101100=>108
[7,4,2,5,6,3,1,8]=>1111000=>120
[4,2,7,5,6,3,1,8]=>1110100=>116
[3,4,7,5,6,2,1,8]=>1100100=>100
[4,7,3,5,6,2,1,8]=>1110000=>112
[3,7,2,5,6,4,1,8]=>1101000=>104
[7,8,3,5,6,1,4,2]=>1110000=>112
[1,6,8,5,2,7,4,3]=>0111100=>60
[6,2,8,5,1,7,4,3]=>1111100=>124
[6,7,4,8,2,1,5,3]=>1111000=>120
[3,2,7,8,6,1,5,4]=>1101010=>106
[6,8,4,1,2,3,7,5]=>1001100=>76
[4,1,8,5,6,3,2,7]=>1110100=>116
[1,8,2,5,6,4,3,7]=>0111000=>56
[6,1,8,5,3,7,4,2]=>1111100=>124
[3,8,1,5,2,7,6,4]=>1101010=>106
[8,2,1,5,3,7,6,4]=>1111010=>122
[1,5,2,4,6,7,8,3]=>0110000=>48
[4,1,5,3,6,7,8,2]=>1110000=>112
[8,1,6,5,3,7,2,4]=>1110100=>116
[7,1,4,6,3,2,8,5]=>1110100=>116
[3,2,6,4,1,7,8,5]=>1101100=>108
[7,6,4,3,1,2,8,5]=>1011110=>94
[8,6,3,5,1,7,2,4]=>1110010=>114
[4,5,3,1,6,7,8,2]=>1110000=>112
[3,5,2,1,6,7,8,4]=>1101000=>104
[5,2,3,1,6,7,8,4]=>1101000=>104
[1,5,3,2,6,7,8,4]=>0111000=>56
[8,4,6,5,1,7,2,3]=>1101100=>108
[7,5,4,6,1,2,8,3]=>1011100=>92
[3,2,5,6,1,7,8,4]=>1101000=>104
[3,2,8,7,6,1,4,5]=>1100011=>99
[6,8,4,7,2,1,3,5]=>1101000=>104
[3,8,7,5,6,1,2,4]=>1000101=>69
[8,2,7,5,6,1,3,4]=>1100100=>100
[4,8,6,5,1,7,3,2]=>1110110=>118
[1,7,4,6,2,3,8,5]=>0101100=>44
[7,6,4,2,1,5,8,3]=>1111010=>122
[5,7,4,6,1,3,8,2]=>1101000=>104
[8,6,4,7,3,1,2,5]=>1011010=>90
[5,2,4,3,7,1,8,6]=>1110010=>114
[3,5,4,2,7,1,8,6]=>1101010=>106
[8,6,4,1,3,5,2,7]=>1101010=>106
[6,7,4,1,5,3,8,2]=>1111000=>120
[7,5,4,1,2,6,8,3]=>1011100=>92
[1,7,4,2,3,6,8,5]=>0101100=>44
[1,8,2,5,3,7,6,4]=>0111010=>58
[6,8,1,5,4,7,3,2]=>1111000=>120
[8,2,1,5,6,4,3,7]=>1111000=>120
[3,8,1,5,6,4,2,7]=>1101000=>104
[6,8,4,1,2,5,3,7]=>1011000=>88
[3,2,8,1,6,5,4,7]=>1101100=>108
[3,2,6,1,5,7,8,4]=>1101000=>104
[7,6,4,1,5,2,8,3]=>1111010=>122
[8,6,1,5,4,7,2,3]=>1101010=>106
[3,5,1,4,6,7,8,2]=>1100000=>96
[5,2,1,4,6,7,8,3]=>1110000=>112
[5,4,1,3,6,7,8,2]=>1101000=>104
[8,4,1,5,3,7,2,6]=>1111000=>120
[7,5,4,1,3,2,8,6]=>1101110=>110
[3,2,5,1,4,7,8,6]=>1100010=>98
[7,1,4,3,5,2,8,6]=>1110010=>114
[8,1,3,5,4,7,2,6]=>1101000=>104
[5,1,3,4,6,7,8,2]=>1100000=>96
[3,1,8,2,5,7,4,6]=>1101000=>104
[8,3,2,6,1,4,7,5]=>1110100=>116
[2,8,1,6,4,3,7,5]=>1011100=>92
[2,6,1,3,8,7,5,4]=>1001101=>77
[2,5,7,1,3,8,6,4]=>1001010=>74
[2,6,8,1,5,7,4,3]=>1011000=>88
[2,7,1,5,8,4,6,3]=>1011000=>88
[2,7,1,6,4,8,3,5]=>1011000=>88
[2,7,1,6,5,3,8,4]=>1011100=>92
[2,8,1,7,6,5,4,3]=>1011110=>94
[8,3,2,7,1,6,5,4]=>1111100=>124
[4,1,8,7,3,2,6,5]=>1110101=>117
[4,1,7,2,8,6,5,3]=>1110110=>118
[3,7,1,8,6,5,4,2]=>1101110=>110
[3,7,6,1,4,2,5,8]=>1100010=>98
[3,7,5,1,4,6,8,2]=>1100100=>100
[3,6,8,5,1,4,7,2]=>1100100=>100
[7,3,5,8,2,1,4,6]=>1110000=>112
[7,3,6,2,1,4,5,8]=>1110000=>112
[7,3,6,2,1,5,4,8]=>1111000=>120
[7,4,2,8,1,6,5,3]=>1111100=>124
[8,7,5,3,2,1,6,4]=>1111101=>125
[7,5,2,6,3,1,4,8]=>1110100=>116
[7,4,6,2,1,8,3,5]=>1111000=>120
[6,8,4,5,2,1,7,3]=>1111000=>120
[4,6,8,5,1,7,3,2]=>1110100=>116
[4,7,5,1,3,8,6,2]=>1100110=>102
[4,7,6,1,5,3,2,8]=>1110010=>114
[5,1,7,6,3,8,2,4]=>1110010=>114
[5,1,7,6,4,2,8,3]=>1111010=>122
[5,1,8,7,6,4,3,2]=>1111011=>123
[8,5,2,1,7,6,4,3]=>1111110=>126
[8,5,2,1,6,3,7,4]=>1111100=>124
[5,1,8,6,3,2,7,4]=>1111010=>122
[3,6,1,7,4,8,2,5]=>1101000=>104
[4,1,8,6,3,7,2,5]=>1110010=>114
[8,4,2,5,7,3,1,6]=>1111000=>120
[3,4,6,8,5,7,1,2]=>1000100=>68
[5,4,8,2,7,3,6,1]=>1111000=>120
[5,4,8,7,3,6,1,2]=>1011001=>89
[8,5,4,7,3,6,2,1]=>1111100=>124
[6,4,3,8,7,1,2,5]=>1011001=>89
[6,3,7,2,4,8,1,5]=>1110000=>112
[5,6,8,4,2,7,3,1]=>1111000=>120
[5,7,4,2,8,1,3,6]=>1101000=>104
[6,5,2,7,1,3,8,4]=>1101100=>108
[8,6,5,4,2,1,7,3]=>1111110=>126
[6,4,7,3,1,8,2,5]=>1111000=>120
[5,7,4,3,8,6,1,2]=>1011010=>90
[7,5,8,4,6,3,2,1]=>1111100=>124
[7,6,4,8,3,5,2,1]=>1111010=>122
[7,6,5,3,8,2,4,1]=>1110110=>118
[6,5,4,3,2,1,9,8,7]=>11111011=>251
[6,5,4,3,2,1,8,7,9]=>11111010=>250
[5,4,3,2,1,9,8,7,6]=>11110111=>247
[5,4,3,2,1,8,7,6,9]=>11110110=>246
[5,4,3,2,1,7,6,9,8]=>11110101=>245
[5,4,3,2,1,7,6,8,9]=>11110100=>244
[4,3,2,1,8,7,6,5,9]=>11101110=>238
[4,3,2,1,7,6,5,9,8]=>11101101=>237
[4,3,2,1,7,6,5,8,9]=>11101100=>236
[4,3,2,1,6,5,8,7,9]=>11101010=>234
[4,3,2,1,6,5,7,8,9]=>11101000=>232
[3,2,1,6,5,4,8,7,9]=>11011010=>218
[3,2,1,6,5,4,7,8,9]=>11011000=>216
[3,2,1,5,4,7,6,9,8]=>11010101=>213
[3,2,1,5,4,7,6,8,9]=>11010100=>212
[3,2,1,5,4,6,7,8,9]=>11010000=>208
[2,1,4,3,6,5,7,8,9]=>10101000=>168
[2,1,4,3,5,6,7,8,9]=>10100000=>160
[7,6,5,4,3,2,1,10,9,8]=>111111011=>507
[7,6,5,4,3,2,1,9,8,10]=>111111010=>506
[6,5,4,3,2,1,9,8,7,10]=>111110110=>502
[6,5,4,3,2,1,8,7,9,10]=>111110100=>500
[5,4,3,2,1,9,8,7,6,10]=>111101110=>494
[5,4,3,2,1,8,7,6,10,9]=>111101101=>493
[5,4,3,2,1,8,7,6,9,10]=>111101100=>492
[5,4,3,2,1,7,6,9,8,10]=>111101010=>490
[5,4,3,2,1,7,6,8,9,10]=>111101000=>488
[4,3,2,1,8,7,6,5,9,10]=>111011100=>476
[4,3,2,1,7,6,5,10,9,8]=>111011011=>475
[4,3,2,1,7,6,5,8,9,10]=>111011000=>472
[4,3,2,1,6,5,8,7,9,10]=>111010100=>468
[4,3,2,1,6,5,7,8,9,10]=>111010000=>464
[3,2,1,6,5,4,9,8,7,10]=>110110110=>438
[3,2,1,6,5,4,8,7,10,9]=>110110101=>437
[3,2,1,6,5,4,8,7,9,10]=>110110100=>436
[3,2,1,6,5,4,7,8,9,10]=>110110000=>432
[3,2,1,5,4,7,6,9,8,10]=>110101010=>426
[3,2,1,5,4,7,6,8,9,10]=>110101000=>424
[3,2,1,5,4,6,7,8,9,10]=>110100000=>416
[2,1,4,3,6,5,8,7,9,10]=>101010100=>340
[2,1,4,3,6,5,7,8,9,10]=>101010000=>336
[2,1,4,3,5,6,7,8,9,10]=>101000000=>320
[5,6,3,7,4,2,1,8]=>1111000=>120
[7,6,3,8,5,1,4,2]=>1110110=>118
[6,4,8,1,3,2,5,7]=>1101000=>104
[7,4,8,6,3,1,5,2]=>1111010=>122
[4,2,7,6,5,3,1,8]=>1110110=>118
[3,7,2,4,6,5,1,8]=>1100100=>100
[8,1,3,4,5,2,6,7]=>1100000=>96
[1,6,8,4,2,5,3,7]=>0111000=>56
[6,2,8,4,1,5,7,3]=>1111000=>120
[6,7,4,8,5,1,2,3]=>1001100=>76
[3,2,7,8,5,1,6,4]=>1101100=>108
[3,2,8,1,5,4,6,7]=>1101000=>104
[6,1,4,8,5,3,7,2]=>1110100=>116
[1,4,8,5,2,6,7,3]=>0110100=>52
[6,1,8,4,3,7,2,5]=>1111000=>120
[3,7,1,4,2,5,8,6]=>1100010=>98
[7,2,1,4,3,5,6,8]=>1110000=>112
[4,1,5,3,6,8,2,7]=>1110000=>112
[6,1,8,5,3,2,7,4]=>1111100=>124
[7,1,4,6,3,8,5,2]=>1110100=>116
[3,2,6,4,1,8,7,5]=>1101101=>109
[7,6,4,3,1,8,2,5]=>1111010=>122
[3,5,2,1,8,7,6,4]=>1101011=>107
[1,5,3,2,8,6,4,7]=>0111010=>58
[5,4,2,1,7,8,6,3]=>1111010=>122
[8,2,7,6,5,1,3,4]=>1100110=>102
[8,6,2,7,1,4,5,3]=>1110010=>114
[1,7,3,6,2,8,5,4]=>0111100=>60
[7,6,3,2,1,8,5,4]=>1111110=>126
[8,6,3,7,4,1,2,5]=>1011010=>90
[5,2,3,4,7,1,8,6]=>1100010=>98
[8,6,3,1,4,5,7,2]=>1110010=>114
[6,7,3,1,5,4,2,8]=>1111000=>120
[5,8,3,1,2,4,7,6]=>1010010=>82
[8,1,3,2,4,5,6,7]=>1100000=>96
[8,4,1,7,2,3,6,5]=>1101100=>108
[8,2,1,6,5,4,7,3]=>1111100=>124
[3,8,1,5,6,4,7,2]=>1101000=>104
[6,8,4,1,2,5,7,3]=>1011000=>88
[3,2,8,1,6,5,7,4]=>1101100=>108
[7,6,4,1,5,2,3,8]=>1101010=>106
[8,6,1,5,4,7,3,2]=>1111010=>122
[3,5,1,4,6,7,2,8]=>1100000=>96
[5,2,1,4,7,6,3,8]=>1110010=>114
[4,5,8,2,1,3,7,6]=>1100010=>98
[5,8,2,3,1,4,6,7]=>1100000=>96
[4,2,1,3,5,8,7,6]=>1100011=>99
[5,4,1,3,6,2,8,7]=>1101001=>105
[8,5,4,1,3,6,2,7]=>1101100=>108
[3,2,5,1,4,6,8,7]=>1100001=>97
[8,1,4,3,5,6,7,2]=>1110000=>112
[7,1,3,5,4,6,2,8]=>1101000=>104
[5,1,3,4,6,2,7,8]=>1100000=>96
[4,1,3,2,5,7,6,8]=>1100010=>98
[3,1,4,2,6,5,8,7,9]=>11001010=>202
[3,1,5,2,6,4,8,7,9]=>11010010=>210
[3,1,5,2,7,4,8,6,9]=>11010100=>212
[3,1,5,2,7,4,6,9,8]=>11010001=>209
[3,1,5,2,4,7,6,9,8]=>11000101=>197
[3,1,2,5,4,7,6,9,8]=>10010101=>149
[3,1,4,2,6,5,8,7,10,9]=>110010101=>405
[4,1,5,2,6,3,8,7,9]=>11100010=>226
[3,1,5,2,6,4,8,7,10,9]=>110100101=>421
[3,1,6,2,7,4,8,5,9]=>11011000=>216
[3,1,5,2,7,4,8,6,10,9]=>110101001=>425
[3,1,5,2,8,4,9,6,7]=>11010100=>212
[3,1,5,2,7,4,9,6,10,8]=>110101010=>426
[3,1,5,2,7,4,6,8,9]=>11010000=>208
[3,1,5,2,7,4,9,6,8,10]=>110101000=>424
[3,1,5,2,4,7,9,6,8]=>11000100=>196
[3,1,5,2,7,4,6,9,8,10]=>110100010=>418
[3,1,2,5,7,4,6,9,8]=>10010001=>145
[3,1,5,2,4,7,6,9,8,10]=>110001010=>394
[1,3,5,2,4,7,6,9,8]=>01000101=>69
[3,1,2,5,4,7,6,9,8,10]=>100101010=>298
[6,8,2,4,5,1,3,7]=>1100000=>96
[3,6,7,2,5,1,4,8]=>1100000=>96
[4,6,7,3,1,5,2,8]=>1110000=>112
[5,8,1,2,4,7,3,6]=>1010000=>80
[6,8,1,3,5,2,7,4]=>1101000=>104
[6,8,3,1,4,5,7,2]=>1110000=>112
[7,5,1,8,2,3,6,4]=>1101100=>108
[6,1,8,2,3,4,7,5]=>1100100=>100
[5,3,8,4,2,6,7,1]=>1111000=>120
[5,1,8,4,6,3,7,2]=>1111000=>120
[4,1,8,3,5,7,2,6]=>1110000=>112
[3,4,7,2,6,1,8,5]=>1100100=>100
[4,5,7,3,2,6,8,1]=>1110000=>112
[4,5,7,2,3,6,8,1]=>1100000=>96
[2,6,3,4,7,5,8,1]=>1010100=>84
[3,6,4,2,7,5,8,1]=>1101100=>108
[4,5,2,7,1,6,8,3]=>1110000=>112
[3,4,1,6,5,8,2,7]=>1100100=>100
[4,1,2,8,5,7,3,6]=>1010100=>84
[5,1,4,8,6,2,7,3]=>1110010=>114
[7,3,1,4,8,5,6,2]=>1110100=>116
[5,6,3,1,7,4,2,8]=>1111000=>120
[7,3,4,1,8,5,2,6]=>1110100=>116
[6,4,2,8,7,1,5,3]=>1111001=>121
[7,2,4,8,1,5,3,6]=>1110000=>112
[2,6,3,7,5,1,4,8]=>1010100=>84
[7,1,3,8,5,2,4,6]=>1100100=>100
[1,5,3,7,8,2,4,6]=>0110000=>48
[3,2,6,7,1,8,4,5]=>1101000=>104
[4,6,3,1,7,8,5,2]=>1110100=>116
[5,3,1,6,7,8,4,2]=>1111000=>120
[4,1,6,2,7,8,5,3]=>1110100=>116
[2,1,3,4,8,7,5,6]=>1000101=>69
[4,5,6,7,8,9,1,2,3]=>10000000=>128
[4,5,6,7,8,9,2,3,1]=>11000000=>192
[5,6,7,8,9,1,2,3,4]=>10000000=>128
[5,6,7,8,9,2,3,4,1]=>11000000=>192
[5,6,7,8,9,3,4,1,2]=>10100000=>160
[5,6,7,8,9,3,4,2,1]=>11100000=>224
[6,7,8,9,2,3,4,5,1]=>11000000=>192
[6,7,8,9,3,4,5,1,2]=>10100000=>160
[6,7,8,9,3,4,5,2,1]=>11100000=>224
[6,7,8,9,4,5,2,3,1]=>11010000=>208
[6,7,8,9,4,5,3,2,1]=>11110000=>240
[7,8,9,4,5,6,2,3,1]=>11010000=>208
[7,8,9,4,5,6,3,2,1]=>11110000=>240
[7,8,9,5,6,3,4,1,2]=>10101000=>168
[7,8,9,5,6,3,4,2,1]=>11101000=>232
[7,8,9,5,6,4,3,2,1]=>11111000=>248
[8,9,6,7,4,5,3,2,1]=>11110100=>244
[8,9,6,7,5,4,3,2,1]=>11111100=>252
[4,5,6,7,8,9,10,1,2,3]=>100000000=>256
[4,5,6,7,8,9,10,2,3,1]=>110000000=>384
[5,6,7,8,9,10,1,2,3,4]=>100000000=>256
[5,6,7,8,9,10,2,3,4,1]=>110000000=>384
[5,6,7,8,9,10,3,4,1,2]=>101000000=>320
[5,6,7,8,9,10,3,4,2,1]=>111000000=>448
[7,8,9,10,3,4,5,6,1,2]=>101000000=>320
[7,8,9,10,3,4,5,6,2,1]=>111000000=>448
[7,8,9,10,4,5,6,1,2,3]=>100100000=>288
[7,8,9,10,4,5,6,3,2,1]=>111100000=>480
[7,8,9,10,5,6,3,4,1,2]=>101010000=>336
[7,8,9,10,5,6,3,4,2,1]=>111010000=>464
[7,8,9,10,5,6,4,3,2,1]=>111110000=>496
[8,9,10,5,6,7,2,3,4,1]=>110010000=>400
[8,9,10,5,6,7,3,4,1,2]=>101010000=>336
[8,9,10,5,6,7,3,4,2,1]=>111010000=>464
[8,9,10,5,6,7,4,3,2,1]=>111110000=>496
[8,9,10,6,7,4,5,2,3,1]=>110101000=>424
[8,9,10,6,7,4,5,3,2,1]=>111101000=>488
[8,9,10,6,7,5,4,3,2,1]=>111111000=>504
[9,10,7,8,5,6,3,4,2,1]=>111010100=>468
[9,10,7,8,5,6,4,3,2,1]=>111110100=>500
[9,10,7,8,6,5,4,3,2,1]=>111111100=>508
[4,8,3,7,6,5,1,2]=>1010110=>86
[6,3,8,7,5,4,1,2]=>1011101=>93
[5,3,8,7,6,4,1,2]=>1011011=>91
[2,8,7,6,1,5,4,3]=>1011011=>91
[5,2,8,7,6,1,4,3]=>1110011=>115
[6,2,8,7,5,1,4,3]=>1110101=>117
[7,8,2,6,5,1,4,3]=>1110100=>116
[6,1,8,7,5,4,3,2]=>1111101=>125
[3,1,8,7,6,5,4,2]=>1101111=>111
[7,8,2,6,1,5,4,3]=>1111000=>120
[6,2,8,7,1,5,4,3]=>1111001=>121
[4,2,8,1,7,6,5,3]=>1110110=>118
[4,8,2,7,6,1,5,3]=>1110010=>114
[3,8,7,2,1,6,5,4]=>1101101=>109
[6,5,8,7,1,4,3,2]=>1110101=>117
[4,8,1,7,6,5,3,2]=>1110110=>118
[5,4,1,8,7,6,3,2]=>1111011=>123
[6,4,8,1,7,5,3,2]=>1111100=>124
[7,8,4,1,6,5,3,2]=>1111100=>124
[7,8,3,1,6,5,4,2]=>1111100=>124
[6,3,8,1,7,5,4,2]=>1111100=>124
[5,3,1,8,7,6,4,2]=>1111011=>123
[7,8,2,1,6,5,4,3]=>1111100=>124
[6,5,3,1,8,7,4,2]=>1111101=>125
[6,4,3,1,8,7,5,2]=>1111101=>125
[5,4,3,1,8,7,6,2]=>1111011=>123
[7,5,2,1,8,6,4,3]=>1111110=>126
[5,4,2,1,8,7,6,3]=>1111011=>123
[7,3,2,1,8,6,5,4]=>1111110=>126
[6,3,2,1,8,7,5,4]=>1111101=>125
[9,7,5,3,1,10,8,6,4,2]=>111111110=>510
[8,7,5,3,1,10,9,6,4,2]=>111111101=>509
[9,6,5,3,1,10,8,7,4,2]=>111111110=>510
[8,6,5,3,1,10,9,7,4,2]=>111111101=>509
[7,6,5,3,1,10,9,8,4,2]=>111111011=>507
[9,7,4,3,1,10,8,6,5,2]=>111111110=>510
[8,7,4,3,1,10,9,6,5,2]=>111111101=>509
[9,6,4,3,1,10,8,7,5,2]=>111111110=>510
[8,6,4,3,1,10,9,7,5,2]=>111111101=>509
[7,6,4,3,1,10,9,8,5,2]=>111111011=>507
[9,5,4,3,1,10,8,7,6,2]=>111111110=>510
[8,5,4,3,1,10,9,7,6,2]=>111111101=>509
[7,5,4,3,1,10,9,8,6,2]=>111111011=>507
[6,5,4,3,1,10,9,8,7,2]=>111110111=>503
[9,7,5,2,1,10,8,6,4,3]=>111111110=>510
[8,7,5,2,1,10,9,6,4,3]=>111111101=>509
[9,6,5,2,1,10,8,7,4,3]=>111111110=>510
[8,6,5,2,1,10,9,7,4,3]=>111111101=>509
[7,6,5,2,1,10,9,8,4,3]=>111111011=>507
[9,7,4,2,1,10,8,6,5,3]=>111111110=>510
[8,7,4,2,1,10,9,6,5,3]=>111111101=>509
[9,6,4,2,1,10,8,7,5,3]=>111111110=>510
[8,6,4,2,1,10,9,7,5,3]=>111111101=>509
[7,6,4,2,1,10,9,8,5,3]=>111111011=>507
[9,5,4,2,1,10,8,7,6,3]=>111111110=>510
[8,5,4,2,1,10,9,7,6,3]=>111111101=>509
[7,5,4,2,1,10,9,8,6,3]=>111111011=>507
[6,5,4,2,1,10,9,8,7,3]=>111110111=>503
[9,7,3,2,1,10,8,6,5,4]=>111111110=>510
[8,7,3,2,1,10,9,6,5,4]=>111111101=>509
[9,6,3,2,1,10,8,7,5,4]=>111111110=>510
[8,6,3,2,1,10,9,7,5,4]=>111111101=>509
[7,6,3,2,1,10,9,8,5,4]=>111111011=>507
[9,5,3,2,1,10,8,7,6,4]=>111111110=>510
[8,5,3,2,1,10,9,7,6,4]=>111111101=>509
[7,5,3,2,1,10,9,8,6,4]=>111111011=>507
[6,5,3,2,1,10,9,8,7,4]=>111110111=>503
[9,4,3,2,1,10,8,7,6,5]=>111111110=>510
[8,4,3,2,1,10,9,7,6,5]=>111111101=>509
[7,4,3,2,1,10,9,8,6,5]=>111111011=>507
[6,4,3,2,1,10,9,8,7,5]=>111110111=>503
[6,1,4,2,3,5,8,7]=>1100001=>97
[8,6,1,4,2,3,5,7]=>1100010=>98
[6,8,1,4,2,3,5,7]=>1100000=>96
[8,1,4,2,3,6,5,7]=>1100100=>100
[4,1,8,2,3,6,5,7]=>1100100=>100
[8,2,3,6,1,4,5,7]=>1100000=>96
[6,2,3,8,1,4,5,7]=>1100000=>96
[4,6,2,3,8,1,5,7]=>1100000=>96
[4,8,2,3,6,1,5,7]=>1100000=>96
[8,2,3,6,4,1,5,7]=>1101000=>104
[8,4,3,6,2,1,5,7]=>1111000=>120
[6,2,3,8,4,1,5,7]=>1101000=>104
[8,4,2,3,6,1,5,7]=>1101000=>104
[6,4,2,3,8,1,5,7]=>1101000=>104
[2,6,4,3,8,1,5,7]=>1011000=>88
[2,8,4,3,6,1,5,7]=>1011000=>88
[2,6,3,8,4,1,5,7]=>1011000=>88
[6,3,8,4,2,1,5,7]=>1111000=>120
[2,6,3,8,1,4,5,7]=>1010000=>80
[2,8,3,6,1,4,5,7]=>1010000=>80
[8,3,6,4,2,1,5,7]=>1111000=>120
[2,8,3,6,4,1,5,7]=>1011000=>88
[8,3,6,2,4,1,5,7]=>1110000=>112
[8,3,6,2,1,4,5,7]=>1110000=>112
[6,2,1,3,8,4,5,7]=>1101000=>104
[8,2,1,3,6,4,5,7]=>1101000=>104
[6,3,8,2,4,1,5,7]=>1110000=>112
[6,2,4,3,8,1,5,7]=>1110000=>112
[3,6,4,7,8,5,1,2]=>1001100=>76
[1,6,4,2,7,5,8,3]=>0111100=>60
[3,6,4,2,7,1,5,8]=>1101000=>104
[1,4,7,2,5,6,8,3]=>0110000=>48
[6,4,8,5,3,7,1,2]=>1011100=>92
[1,6,5,4,2,7,8,3]=>0111100=>60
[4,2,5,3,6,1,7,8]=>1110000=>112
[7,1,5,3,6,2,8,4]=>1111000=>120
[1,6,5,2,4,8,7,3]=>0110101=>53
[1,4,6,2,8,5,7,3]=>0110100=>52
[7,8,1,4,2,5,6,3]=>1110000=>112
[3,4,8,5,2,1,6,7]=>1100100=>100
[4,8,5,3,1,6,2,7]=>1110100=>116
[6,1,3,5,8,2,7,4]=>1101000=>104
[6,1,8,7,4,2,3,5]=>1101001=>105
[1,2,8,5,7,3,6,4]=>0011100=>28
[1,3,6,8,7,5,2,4]=>0100101=>37
[1,8,2,5,4,7,6,3]=>0111010=>58
[7,1,2,4,5,8,6,3]=>1010010=>82
[1,2,7,3,5,8,6,4]=>0011010=>26
[6,1,3,2,5,7,8,4]=>1101000=>104
[4,6,2,1,7,5,3,8]=>1110100=>116
[1,6,3,7,8,5,2,4]=>0110100=>52
[4,6,2,3,7,8,1,5]=>1100000=>96
[4,6,3,7,1,2,8,5]=>1010100=>84
[4,2,1,3,5,7,8,6]=>1100010=>98
[7,3,2,4,5,1,8,6]=>1110010=>114
[3,8,2,5,4,1,7,6]=>1101010=>106
[7,8,4,2,6,3,1,5]=>1111000=>120
[4,2,6,3,8,7,1,5]=>1110001=>113
[5,8,2,7,4,3,1,6]=>1111000=>120
[4,3,8,5,1,7,2,6]=>1110100=>116
[4,3,6,8,1,2,7,5]=>1010100=>84
[6,4,3,5,2,8,1,7]=>1111000=>120
[6,5,3,8,4,2,1,7]=>1111100=>124
[6,1,7,2,8,3,9,4,10,5]=>111110000=>496
[6,1,7,2,8,3,9,10,4,5]=>111100000=>480
[6,1,7,2,8,9,3,4,10,5]=>111010000=>464
[6,1,7,2,8,9,3,10,4,5]=>111100000=>480
[6,1,7,2,8,9,10,3,4,5]=>111000000=>448
[6,1,7,8,2,3,9,4,10,5]=>110110000=>432
[6,1,7,8,2,3,9,10,4,5]=>110100000=>416
[6,1,7,8,2,9,3,4,10,5]=>111010000=>464
[6,1,7,8,2,9,3,10,4,5]=>111100000=>480
[6,1,7,8,2,9,10,3,4,5]=>111000000=>448
[6,1,7,8,9,2,3,4,10,5]=>110010000=>400
[6,1,7,8,9,2,3,10,4,5]=>110100000=>416
[6,1,7,8,9,2,10,3,4,5]=>111000000=>448
[6,1,7,8,9,10,2,3,4,5]=>110000000=>384
[6,7,1,2,8,3,9,4,10,5]=>101110000=>368
[6,7,1,2,8,3,9,10,4,5]=>101100000=>352
[6,7,1,2,8,9,3,4,10,5]=>101010000=>336
[6,7,1,2,8,9,3,10,4,5]=>101100000=>352
[6,7,1,2,8,9,10,3,4,5]=>101000000=>320
[6,7,1,8,2,3,9,4,10,5]=>110110000=>432
[6,7,1,8,2,3,9,10,4,5]=>110100000=>416
[6,7,1,8,2,9,3,4,10,5]=>111010000=>464
[6,7,1,8,2,9,3,10,4,5]=>111100000=>480
[6,7,1,8,2,9,10,3,4,5]=>111000000=>448
[6,7,1,8,9,2,3,4,10,5]=>110010000=>400
[6,7,1,8,9,2,3,10,4,5]=>110100000=>416
[6,7,1,8,9,2,10,3,4,5]=>111000000=>448
[6,7,1,8,9,10,2,3,4,5]=>110000000=>384
[6,7,8,1,2,3,9,4,10,5]=>100110000=>304
[6,7,8,1,2,3,9,10,4,5]=>100100000=>288
[6,7,8,1,2,9,3,4,10,5]=>101010000=>336
[6,7,8,1,2,9,3,10,4,5]=>101100000=>352
[6,7,8,1,2,9,10,3,4,5]=>101000000=>320
[6,7,8,1,9,2,3,4,10,5]=>110010000=>400
[6,7,8,1,9,2,3,10,4,5]=>110100000=>416
[6,7,8,1,9,2,10,3,4,5]=>111000000=>448
[6,7,8,1,9,10,2,3,4,5]=>110000000=>384
[6,7,8,9,1,2,3,4,10,5]=>100010000=>272
[6,7,8,9,1,2,3,10,4,5]=>100100000=>288
[6,7,8,9,1,2,10,3,4,5]=>101000000=>320
[6,7,8,9,1,10,2,3,4,5]=>110000000=>384
[3,8,1,7,5,6,4,2]=>1101100=>108
[8,2,5,7,3,6,4,1]=>1111000=>120
[1,8,6,7,5,3,4,2]=>0110110=>54
[8,2,6,7,5,3,4,1]=>1110100=>116
[1,5,8,7,2,6,4,3]=>0111001=>57
[5,4,8,6,2,3,7,1]=>1101010=>106
[2,7,6,1,3,5,4,8]=>1001010=>74
[6,4,1,8,2,5,7,3]=>1111000=>120
[2,8,6,1,3,5,4,7]=>1001010=>74
[4,1,3,6,5,8,7,2]=>1100101=>101
[2,1,6,3,5,8,7,4]=>1011001=>89
[2,4,1,3,8,5,7,6]=>1000110=>70
[2,4,1,3,5,8,7,6]=>1000011=>67
[2,6,1,3,5,8,7,4]=>1001001=>73
[4,6,1,3,5,8,7,2]=>1100001=>97
[6,1,4,3,5,8,7,2]=>1110001=>113
[6,4,1,3,5,8,7,2]=>1101001=>105
[6,2,1,3,5,8,7,4]=>1101001=>105
[4,2,1,3,6,5,7,8]=>1100100=>100
[4,2,1,6,3,5,7,8]=>1110000=>112
[6,2,1,8,3,5,7,4]=>1111000=>120
[6,2,1,3,8,5,7,4]=>1101100=>108
[6,1,4,3,8,5,7,2]=>1110100=>116
[1,6,4,3,8,5,7,2]=>0111100=>60
[8,1,4,3,6,5,7,2]=>1110100=>116
[8,4,1,3,6,5,7,2]=>1101100=>108
[8,2,1,3,6,5,7,4]=>1101100=>108
[8,2,1,6,3,5,7,4]=>1111000=>120
[8,2,1,4,3,5,7,6]=>1110010=>114
[6,2,1,4,3,5,7,8]=>1110000=>112
[8,2,4,1,3,5,7,6]=>1100010=>98
[8,2,6,1,3,5,7,4]=>1101000=>104
[8,4,6,1,3,5,7,2]=>1101000=>104
[8,4,1,6,3,5,7,2]=>1111000=>120
[8,1,4,6,3,5,7,2]=>1110000=>112
[1,8,4,6,3,5,7,2]=>0111000=>56
[1,6,4,8,3,5,7,2]=>0111000=>56
[6,4,1,8,3,5,7,2]=>1111000=>120
[6,4,8,1,3,5,7,2]=>1101000=>104
[6,2,8,1,3,5,7,4]=>1101000=>104
[4,2,8,1,3,5,7,6]=>1100010=>98
[2,6,8,1,3,5,7,4]=>1001000=>72
[4,6,8,1,3,5,7,2]=>1100000=>96
[4,6,1,8,3,5,7,2]=>1110000=>112
[4,1,6,8,3,5,7,2]=>1110000=>112
[1,4,6,3,8,5,7,2]=>0110100=>52
[4,6,1,3,8,5,7,2]=>1100100=>100
[2,4,1,8,3,5,7,6]=>1010010=>82
[2,1,6,8,3,5,7,4]=>1011000=>88
[4,1,3,6,8,5,7,2]=>1100100=>100
[1,4,3,6,8,5,7,2]=>0110100=>52
[4,1,3,8,6,5,7,2]=>1100110=>102
[2,1,8,3,6,5,7,4]=>1011100=>92
[2,1,6,4,3,5,7,8]=>1011000=>88
[2,6,1,4,3,5,7,8]=>1010000=>80
[2,8,1,4,3,5,7,6]=>1010010=>82
[2,8,1,6,3,5,7,4]=>1011000=>88
[4,8,1,3,6,5,7,2]=>1100100=>100
[1,4,8,3,6,5,7,2]=>0110100=>52
[1,4,8,6,3,5,7,2]=>0110010=>50
[4,1,8,6,3,5,7,2]=>1110010=>114
[4,8,1,6,3,5,7,2]=>1110000=>112
[4,8,6,1,3,5,7,2]=>1100010=>98
[2,8,6,1,3,5,7,4]=>1001010=>74
[2,8,4,1,3,5,7,6]=>1001010=>74
[2,6,4,1,3,5,7,8]=>1001000=>72
[4,6,2,1,3,5,7,8]=>1100000=>96
[6,8,1,4,3,5,7,2]=>1110000=>112
[6,1,8,4,3,5,7,2]=>1111000=>120
[1,6,8,4,3,5,7,2]=>0111000=>56
[1,8,6,4,3,5,7,2]=>0111010=>58
[8,1,6,4,3,5,7,2]=>1111000=>120
[8,6,1,4,3,5,7,2]=>1110010=>114
[8,6,4,1,3,5,7,2]=>1101010=>106
[8,6,2,1,3,5,7,4]=>1101010=>106
[8,4,2,1,3,5,7,6]=>1101010=>106
[7,8,6,5,2,1,4,3]=>1110110=>118
[5,7,4,1,8,6,3,2]=>1111010=>122
[5,6,4,2,8,3,7,1]=>1111000=>120
[5,6,4,2,7,3,1,8]=>1111000=>120
[5,7,1,4,6,3,2,8]=>1110000=>112
[5,8,1,4,6,3,7,2]=>1110000=>112
[3,6,7,4,5,8,2,1]=>1101000=>104
[3,5,7,4,6,8,2,1]=>1101000=>104
[6,8,4,1,7,2,5,3]=>1111000=>120
[5,4,6,1,7,8,3,2]=>1111000=>120
[5,6,4,1,8,7,3,2]=>1111001=>121
[3,5,8,4,6,7,2,1]=>1101000=>104
[3,6,8,4,5,7,2,1]=>1101000=>104
[3,7,8,4,5,6,2,1]=>1101000=>104
[6,8,1,4,5,3,7,2]=>1110000=>112
[6,7,1,4,5,3,2,8]=>1110000=>112
[3,7,1,5,4,6,2,8]=>1101000=>104
[3,8,1,5,4,6,7,2]=>1101000=>104
[3,7,1,5,4,6,8,2]=>1101000=>104
[6,7,1,4,5,3,8,2]=>1110000=>112
[5,7,1,4,6,3,8,2]=>1110000=>112
[5,6,4,2,7,3,8,1]=>1111000=>120
[5,4,7,2,8,3,1,6]=>1111000=>120
[5,4,7,2,8,3,6,1]=>1111000=>120
[5,6,4,2,8,3,1,7]=>1111000=>120
[5,8,1,4,6,3,2,7]=>1110000=>112
[3,8,1,5,4,6,2,7]=>1101000=>104
[3,6,1,5,4,2,7,8]=>1101000=>104
[3,6,1,5,4,8,2,7]=>1101000=>104
[6,8,3,1,4,2,5,7]=>1110000=>112
[7,3,8,1,4,2,5,6]=>1110000=>112
[6,7,3,1,4,2,8,5]=>1110100=>116
[3,6,1,5,4,7,8,2]=>1101000=>104
[3,4,1,2,7,6,5,8]=>1000110=>70
[3,4,1,2,6,8,7,5]=>1000101=>69
[6,8,3,1,4,7,2,5]=>1110000=>112
[6,4,7,2,8,5,1,3]=>1101100=>108
[5,8,1,4,7,3,2,6]=>1110000=>112
[7,8,1,4,5,3,2,6]=>1110000=>112
[3,8,1,5,4,7,2,6]=>1101000=>104
[3,6,1,5,4,8,7,2]=>1101001=>105
[3,6,1,5,4,7,2,8]=>1101000=>104
[6,7,3,1,4,2,5,8]=>1110000=>112
[6,8,3,1,4,2,7,5]=>1110100=>116
[7,8,3,1,4,6,2,5]=>1110000=>112
[7,8,4,2,6,5,1,3]=>1101100=>108
[6,5,8,7,3,4,2,1]=>1110101=>117
[7,8,3,1,4,6,5,2]=>1110100=>116
[6,7,3,1,4,5,2,8]=>1110000=>112
[3,7,1,5,4,2,6,8]=>1101000=>104
[3,8,1,5,4,2,7,6]=>1101010=>106
[5,8,1,4,7,3,6,2]=>1110000=>112
[6,8,4,2,7,5,3,1]=>1111100=>124
[6,4,7,2,8,5,3,1]=>1111100=>124
[6,3,7,1,4,8,5,2]=>1110100=>116
[6,8,3,1,4,7,5,2]=>1110100=>116
[3,7,1,5,4,8,6,2]=>1101010=>106
[3,4,1,2,8,5,7,6]=>1000110=>70
[3,4,1,2,5,8,7,6]=>1000011=>67
[3,7,1,5,4,2,8,6]=>1101010=>106
[6,7,3,1,4,5,8,2]=>1110000=>112
[7,3,8,1,4,5,2,6]=>1110000=>112
[7,3,8,1,4,5,6,2]=>1110000=>112
[6,8,3,1,4,5,2,7]=>1110000=>112
[3,8,1,5,4,2,6,7]=>1101000=>104
[9,8,7,6,5,4,2,1,3]=>11011111=>223
[9,8,7,6,5,3,2,1,4]=>11101111=>239
[8,7,6,3,5,2,1,4]=>1110011=>115
[9,8,7,6,4,3,2,1,5]=>11110111=>247
[8,7,4,6,3,2,1,5]=>1111001=>121
[9,8,7,5,4,3,2,1,6]=>11111011=>251
[8,5,7,4,3,2,1,6]=>1111100=>124
[9,8,6,5,4,3,2,1,7]=>11111101=>253
[9,7,6,5,4,3,2,1,8]=>11111110=>254
[9,8,7,6,5,4,1,3,2]=>11011111=>223
[10,9,8,7,6,5,4,2,1,3]=>110111111=>447
[9,8,7,6,5,2,4,1,3]=>11001111=>207
[10,9,8,7,6,5,3,2,1,4]=>111011111=>479
[9,8,7,6,3,5,2,1,4]=>11100111=>231
[10,9,8,7,6,4,3,2,1,5]=>111101111=>495
[8,7,6,2,5,4,1,3]=>1101011=>107
[9,8,7,4,6,3,2,1,5]=>11110011=>243
[10,9,8,7,5,4,3,2,1,6]=>111110111=>503
[8,5,4,7,3,2,1,6]=>1111100=>124
[8,7,3,6,5,2,1,4]=>1110101=>117
[9,8,5,7,4,3,2,1,6]=>11111001=>249
[10,9,8,6,5,4,3,2,1,7]=>111111011=>507
[6,5,8,4,3,2,1,7]=>1111100=>124
[8,4,7,6,3,2,1,5]=>1111010=>122
[9,6,8,5,4,3,2,1,7]=>11111100=>252
[10,9,7,6,5,4,3,2,1,8]=>111111101=>509
[5,8,7,4,3,2,1,6]=>1111001=>121
[10,8,7,6,5,4,3,2,1,9]=>111111110=>510
[5,8,6,2,3,4,7,1]=>1100010=>98
[4,5,2,7,3,1,8,6]=>1110010=>114
[4,8,2,6,3,5,7,1]=>1110000=>112
[4,3,7,8,6,5,1,2]=>1010110=>86
[4,1,7,2,5,8,6,3]=>1110010=>114
[7,8,2,1,5,6,4,3]=>1111000=>120
[1,6,2,5,8,4,3,7]=>0111000=>56
[2,1,8,7,4,5,3,6]=>1011001=>89
[7,3,1,6,8,5,2,4]=>1110100=>116
[1,5,8,6,2,3,7,4]=>0101010=>42
[2,4,8,3,1,6,5,7]=>1010100=>84
[5,2,7,1,8,6,3,4]=>1110010=>114
[2,6,1,3,8,7,4,5]=>1001001=>73
[6,5,2,8,1,7,3,4]=>1110100=>116
[2,8,3,5,1,7,4,6]=>1011000=>88
[5,4,3,8,7,1,6,2]=>1111001=>121
[8,5,4,3,7,2,6,1]=>1111100=>124
[8,3,7,4,2,6,5,1]=>1111100=>124
[2,8,6,5,1,7,4,3]=>1011110=>94
[6,3,2,8,4,1,7,5]=>1111100=>124
[2,8,3,4,1,7,5,6]=>1010100=>84
[5,4,2,8,3,1,7,6]=>1111010=>122
[2,8,4,3,1,7,6,5]=>1011110=>94
[2,8,5,3,1,7,6,4]=>1011110=>94
[2,8,6,4,1,7,5,3]=>1011110=>94
[3,8,7,5,1,6,4,2]=>1101101=>109
[8,3,7,5,2,6,4,1]=>1111100=>124
[8,4,7,6,2,5,3,1]=>1111010=>122
[4,8,7,6,1,5,3,2]=>1110011=>115
[7,4,8,6,2,1,5,3]=>1111010=>122
[7,3,8,5,2,1,6,4]=>1111100=>124
[7,3,8,4,2,1,6,5]=>1111100=>124
[7,5,4,3,8,2,1,6]=>1111100=>124
[3,7,8,4,1,2,6,5]=>1001100=>76
[3,7,8,5,1,2,6,4]=>1001100=>76
[4,7,8,6,1,2,5,3]=>1010010=>82
[8,7,4,6,3,5,2,1]=>1111001=>121
[5,7,8,6,1,2,4,3]=>1010010=>82
[6,4,7,8,3,1,2,5]=>1011000=>88
[7,3,4,8,2,1,5,6]=>1110000=>112
[7,6,4,8,3,2,1,5]=>1111010=>122
[7,5,8,6,2,1,4,3]=>1110110=>118
[6,5,8,7,3,1,4,2]=>1110101=>117
[2,4,8,3,1,5,7,6]=>1010010=>82
[6,3,2,4,8,1,5,7]=>1110000=>112
[2,3,8,4,1,6,7,5]=>1001100=>76
[2,3,8,5,1,6,7,4]=>1001100=>76
[6,4,8,7,3,1,5,2]=>1111001=>121
[8,6,4,7,3,2,5,1]=>1111010=>122
[8,3,4,7,2,5,6,1]=>1110000=>112
[3,4,8,7,1,5,6,2]=>1100001=>97
[2,4,8,6,1,5,7,3]=>1010010=>82
[2,5,8,6,1,4,7,3]=>1010010=>82
[8,3,5,7,2,4,6,1]=>1110000=>112
[8,4,6,7,2,3,5,1]=>1101000=>104
[4,6,8,7,1,3,5,2]=>1100001=>97
[2,6,8,5,1,3,7,4]=>1001100=>76
[2,6,8,4,1,3,7,5]=>1001100=>76
[2,5,8,3,1,4,7,6]=>1010010=>82
[5,6,8,7,1,3,4,2]=>1100001=>97
[7,4,6,8,2,1,3,5]=>1101000=>104
[2,3,5,4,1,8,6,7]=>1001010=>74
[2,3,6,4,8,1,5,7]=>1001000=>72
[1,8,4,6,3,5,2,7]=>0111000=>56
[5,4,8,6,2,1,3,7]=>1101010=>106
[2,3,6,8,1,5,4,7]=>1001000=>72
[2,5,6,1,4,7,8,3]=>1010000=>80
[2,5,6,1,4,7,3,8]=>1010000=>80
[7,3,5,1,6,8,4,2]=>1111000=>120
[2,7,6,1,8,5,4,3]=>1011110=>94
[2,7,6,8,1,4,5,3]=>1010010=>82
[1,8,7,6,3,2,5,4]=>0111011=>59
[1,8,7,6,3,2,4,5]=>0110011=>51
[5,7,8,6,2,3,4,1]=>1100010=>98
[2,7,6,1,8,5,3,4]=>1010110=>86
[6,3,5,1,7,2,4,8]=>1110000=>112
[2,3,4,7,6,1,5,8]=>1000010=>66
[7,3,5,8,4,1,2,6]=>1011000=>88
[1,8,4,5,2,7,3,6]=>0111000=>56
[1,8,4,5,2,7,6,3]=>0111010=>58
[7,3,5,8,4,1,6,2]=>1111000=>120
[2,7,6,4,8,5,1,3]=>1001110=>78
[7,3,5,4,6,8,1,2]=>1011000=>88
[6,3,5,4,7,1,8,2]=>1111000=>120
[6,3,5,4,7,1,2,8]=>1011000=>88
[3,4,1,5,6,8,7,2]=>1100001=>97
[3,7,1,6,8,5,2,4]=>1100100=>100
[2,3,1,8,6,4,7,5]=>1001110=>78
[1,8,4,3,6,2,5,7]=>0111000=>56
[2,3,1,8,6,4,5,7]=>1001010=>74
[3,7,1,6,8,5,4,2]=>1101100=>108
[6,3,5,4,7,2,1,8]=>1111000=>120
[7,3,5,4,6,8,2,1]=>1111000=>120
[2,7,6,4,8,5,3,1]=>1011110=>94
[1,8,4,5,2,6,3,7]=>0111000=>56
[6,4,8,5,3,1,2,7]=>1011100=>92
[7,3,5,8,4,6,2,1]=>1111000=>120
[2,3,4,6,5,8,1,7]=>1000100=>68
[2,3,4,7,5,1,8,6]=>1000110=>70
[2,3,4,7,5,1,6,8]=>1000100=>68
[2,3,4,7,1,6,5,8]=>1000100=>68
[2,3,4,7,1,6,8,5]=>1000100=>68
[2,3,4,6,1,8,7,5]=>1000101=>69
[6,3,5,8,4,2,7,1]=>1111000=>120
[7,4,8,5,3,2,1,6]=>1111100=>124
[1,8,4,5,2,3,6,7]=>0101000=>40
[7,4,8,5,3,2,6,1]=>1111100=>124
[6,3,5,8,4,2,1,7]=>1111000=>120
[5,2,4,6,8,3,7,1]=>1110000=>112
[1,5,7,4,6,3,2,8]=>0111000=>56
[5,2,8,4,6,3,7,1]=>1111000=>120
[3,8,5,4,6,7,2,1]=>1101100=>108
[6,8,3,4,5,7,2,1]=>1110000=>112
[2,5,7,4,6,3,8,1]=>1011000=>88
[5,4,1,7,8,3,2,6]=>1111000=>120
[5,4,2,7,8,3,6,1]=>1111000=>120
[5,1,4,6,8,3,2,7]=>1110000=>112
[5,1,8,4,6,3,2,7]=>1111000=>120
[8,1,6,4,5,3,2,7]=>1111000=>120
[8,1,3,5,4,6,2,7]=>1101000=>104
[8,1,6,2,4,3,5,7]=>1110000=>112
[8,7,1,2,4,3,5,6]=>1010001=>81
[1,7,6,2,4,3,5,8]=>0110010=>50
[8,7,3,2,4,6,5,1]=>1110101=>117
[8,2,6,3,4,5,7,1]=>1110000=>112
[1,7,6,3,4,5,2,8]=>0110010=>50
[1,7,2,5,4,3,6,8]=>0111000=>56
[8,7,2,4,5,3,6,1]=>1110001=>113
[5,8,2,4,7,3,6,1]=>1110000=>112
[6,8,3,2,4,7,5,1]=>1110100=>116
[8,7,1,3,4,5,2,6]=>1100001=>97
[8,1,6,3,4,5,2,7]=>1110000=>112
[8,1,2,5,4,3,6,7]=>1011000=>88
[3,4,8,7,5,2,6,1]=>1100101=>101
[3,2,8,6,1,5,4,7]=>1101010=>106
[8,6,1,2,4,3,5,7]=>1010010=>82
[8,7,3,6,4,2,5,1]=>1111001=>121
[3,8,7,2,5,4,6,1]=>1101001=>105
[8,7,2,4,5,6,3,1]=>1110001=>113
[5,3,6,2,4,8,7,1]=>1110001=>113
[3,5,2,8,6,1,4,7]=>1100010=>98
[3,7,2,5,1,4,8,6]=>1100010=>98
[5,1,8,6,2,3,4,7]=>1100010=>98
[2,5,4,1,8,6,3,7]=>1011010=>90
[3,7,6,1,8,2,5,4]=>1101010=>106
[7,6,3,1,8,2,4,5]=>1110010=>114
[8,2,3,6,1,4,7,5]=>1100100=>100
[1,8,2,6,3,4,7,5]=>0110100=>52
[8,1,3,6,4,7,2,5]=>1101000=>104
[7,1,3,6,4,8,2,5]=>1101000=>104
[8,2,1,3,5,7,4,6]=>1101000=>104
[8,2,6,3,1,4,7,5]=>1110100=>116
[7,5,4,1,3,8,2,6]=>1101100=>108
[2,7,5,8,3,4,1,6]=>1010100=>84
[7,3,8,5,4,1,2,6]=>1011100=>92
[7,2,3,6,1,4,8,5]=>1100100=>100
[1,3,7,2,5,8,4,6]=>0101000=>40
[1,7,2,3,5,8,4,6]=>0101000=>40
[7,4,8,1,3,6,2,5]=>1101000=>104
[8,1,2,3,5,7,4,6]=>1001000=>72
[7,1,2,3,5,8,4,6]=>1001000=>72
[8,6,1,4,7,3,2,5]=>1110010=>114
[2,6,3,7,1,4,8,5]=>1010100=>84
[2,6,3,8,1,4,7,5]=>1010100=>84
[7,5,4,8,1,3,2,6]=>1101100=>108
[8,5,4,7,1,3,2,6]=>1101100=>108
[2,3,1,8,5,4,6,7]=>1001100=>76
[8,6,5,1,3,4,2,7]=>1100110=>102
[8,5,1,7,6,3,4,2]=>1110110=>118
[3,4,7,6,1,8,5,2]=>1100110=>102
[3,5,2,6,7,1,8,4]=>1101000=>104
[3,2,8,4,7,5,1,6]=>1101100=>108
[8,4,7,5,1,3,2,6]=>1101100=>108
[3,8,1,6,5,2,7,4]=>1101100=>108
[6,1,2,8,3,4,7,5]=>1010100=>84
[6,8,3,1,7,2,4,5]=>1110000=>112
[3,7,2,5,6,1,8,4]=>1101000=>104
[6,8,4,2,5,1,7,3]=>1111000=>120
[2,7,5,3,8,4,1,6]=>1011100=>92
[8,3,1,4,7,2,6,5]=>1110100=>116
[8,3,2,1,5,7,4,6]=>1111000=>120
[2,8,3,6,4,7,1,5]=>1011000=>88
[7,3,6,4,8,1,2,5]=>1011000=>88
[8,3,6,4,7,1,2,5]=>1011000=>88
[1,2,8,3,5,7,4,6]=>0011000=>24
[1,8,3,2,5,7,4,6]=>0111000=>56
[6,5,1,7,4,2,8,3]=>1111100=>124
[7,3,6,4,8,2,1,5]=>1111000=>120
[4,6,1,7,3,5,2,8]=>1110000=>112
[5,6,1,7,3,4,2,8]=>1110000=>112
[6,1,7,3,4,2,8,5]=>1110100=>116
[7,3,8,1,6,5,2,4]=>1110100=>116
[8,3,7,1,6,5,2,4]=>1110100=>116
[5,1,7,4,2,8,6,3]=>1111010=>122
[2,8,1,7,6,5,3,4]=>1010110=>86
[4,2,8,6,5,1,7,3]=>1110110=>118
[6,4,2,8,5,1,7,3]=>1111100=>124
[8,6,4,7,1,5,2,3]=>1101010=>106
[7,6,4,8,1,5,2,3]=>1101010=>106
[5,1,6,4,2,3,8,7]=>1101001=>105
[4,2,3,8,7,5,1,6]=>1100101=>101
[3,8,7,1,6,5,2,4]=>1100101=>101
[2,4,3,8,1,6,7,5]=>1010100=>84
[2,4,3,7,1,6,8,5]=>1010100=>84
[4,2,3,7,8,5,1,6]=>1100100=>100
[5,1,6,4,2,3,7,8]=>1101000=>104
[6,4,7,8,1,5,2,3]=>1101000=>104
[8,7,4,6,1,5,2,3]=>1101001=>105
[6,5,7,8,1,4,2,3]=>1100100=>100
[4,7,8,6,1,5,2,3]=>1100010=>98
[3,2,4,7,8,1,5,6]=>1100000=>96
[3,2,4,8,7,1,5,6]=>1100001=>97
[4,8,7,6,1,5,2,3]=>1100011=>99
[5,8,7,6,1,4,2,3]=>1100011=>99
[8,6,5,7,1,4,2,3]=>1100110=>102
[5,1,6,7,4,2,3,8]=>1101000=>104
[6,7,4,8,1,5,2,3]=>1101000=>104
[8,4,7,6,1,5,2,3]=>1101010=>106
[8,3,2,4,7,1,5,6]=>1110000=>112
[7,3,2,4,8,1,5,6]=>1110000=>112
[2,5,3,7,1,6,4,8]=>1011000=>88
[8,4,6,7,1,5,2,3]=>1101000=>104
[7,4,6,8,1,5,2,3]=>1101000=>104
[5,1,6,8,4,2,3,7]=>1101000=>104
[4,2,3,7,5,1,6,8]=>1100100=>100
[3,7,5,8,1,6,2,4]=>1100100=>100
[2,4,3,7,1,6,5,8]=>1010100=>84
[2,4,7,1,5,8,6,3]=>1010010=>82
[3,2,4,7,6,1,5,8]=>1100010=>98
[4,7,6,8,1,5,2,3]=>1100010=>98
[8,5,6,7,1,4,2,3]=>1100100=>100
[8,6,7,5,1,4,2,3]=>1100110=>102
[7,6,8,5,1,4,2,3]=>1100110=>102
[6,8,7,5,1,4,2,3]=>1100101=>101
[5,6,8,7,1,4,2,3]=>1100001=>97
[4,6,8,7,1,5,2,3]=>1100001=>97
[2,4,6,7,1,5,8,3]=>1010000=>80
[3,2,4,6,1,5,7,8]=>1100000=>96
[6,7,8,5,1,4,2,3]=>1100100=>100
[7,8,6,5,1,4,2,3]=>1100110=>102
[3,1,7,5,4,2,8,6]=>1101110=>110
[2,1,8,5,4,6,3,7]=>1011100=>92
[4,1,8,5,2,3,6,7]=>1100100=>100
[5,4,1,3,6,7,2,8]=>1101000=>104
[8,4,1,2,6,3,7,5]=>1011100=>92
[8,2,7,1,5,3,4,6]=>1110000=>112
[3,2,7,1,5,8,4,6]=>1101000=>104
[6,3,7,1,5,4,2,8]=>1111000=>120
[7,3,8,1,5,4,2,6]=>1111000=>120
[7,1,5,3,8,4,2,6]=>1111000=>120
[4,5,1,3,6,8,2,7]=>1100000=>96
[3,6,8,1,5,4,2,7]=>1101000=>104
[6,8,3,1,5,4,2,7]=>1111000=>120
[7,6,3,1,5,4,2,8]=>1111010=>122
[3,6,2,1,5,8,4,7]=>1101000=>104
[8,6,2,1,5,3,4,7]=>1110010=>114
[4,8,2,1,7,5,3,6]=>1110100=>116
[2,3,8,1,5,7,4,6]=>1001000=>72
[7,1,3,2,8,6,4,5]=>1101010=>106
[7,1,6,2,8,3,4,5]=>1110000=>112
[4,7,1,2,6,3,8,5]=>1010100=>84
[2,7,8,1,5,3,4,6]=>1010000=>80
[6,7,2,1,5,3,4,8]=>1110000=>112
[4,7,2,1,8,5,3,6]=>1110100=>116
[8,7,2,1,4,5,3,6]=>1110001=>113
[8,7,5,6,1,4,3,2]=>1110101=>117
[5,7,8,6,1,4,3,2]=>1110010=>114
[2,7,4,1,6,5,3,8]=>1011100=>92
[3,7,1,4,5,6,8,2]=>1100000=>96
[7,1,6,4,5,8,3,2]=>1111000=>120
[3,5,1,4,7,6,8,2]=>1100010=>98
[2,6,4,1,7,5,3,8]=>1011100=>92
[5,6,8,7,1,4,3,2]=>1110001=>113
[6,8,5,7,1,4,3,2]=>1110100=>116
[8,6,5,7,1,4,3,2]=>1110110=>118
[8,5,7,6,1,4,3,2]=>1110110=>118
[6,5,7,8,1,4,3,2]=>1110100=>116
[7,2,3,1,5,6,4,8]=>1101000=>104
[4,2,8,1,6,5,3,7]=>1110100=>116
[6,2,4,1,8,5,3,7]=>1110100=>116
[8,3,1,4,5,6,7,2]=>1110000=>112
[5,3,1,4,8,6,7,2]=>1110010=>114
[7,5,1,6,3,4,8,2]=>1110100=>116
[7,1,5,8,4,3,6,2]=>1111000=>120
[5,8,1,6,4,3,7,2]=>1111000=>120
[5,3,1,8,4,6,7,2]=>1111000=>120
[8,3,1,5,4,6,7,2]=>1111000=>120
[8,2,6,1,4,5,3,7]=>1110000=>112
[6,2,8,1,4,5,3,7]=>1110000=>112
[7,2,6,1,5,3,4,8]=>1110000=>112
[2,8,6,1,5,3,4,7]=>1010010=>82
[4,2,1,5,6,3,8,7]=>1110001=>113
[7,1,2,5,8,3,4,6]=>1010000=>80
[7,1,4,5,6,8,3,2]=>1110000=>112
[8,5,6,7,1,4,3,2]=>1110100=>116
[7,6,8,5,1,4,3,2]=>1110110=>118
[6,8,7,5,1,4,3,2]=>1110101=>117
[2,6,7,1,4,5,3,8]=>1010000=>80
[3,5,1,7,4,6,8,2]=>1101000=>104
[7,1,5,6,4,8,3,2]=>1111000=>120
[7,1,6,5,4,8,3,2]=>1111100=>124
[2,7,6,1,4,5,3,8]=>1010010=>82
[5,7,6,8,1,4,3,2]=>1110010=>114
[7,8,6,5,1,4,3,2]=>1110110=>118
[4,3,1,6,5,8,7,2]=>1110101=>117
[5,3,1,2,4,8,7,6]=>1010011=>83
[5,3,6,2,1,8,7,4]=>1111001=>121
[5,3,7,2,1,4,6,8]=>1110000=>112
[5,3,7,2,8,4,1,6]=>1111000=>120
[7,2,4,5,8,3,1,6]=>1110000=>112
[7,2,4,5,1,3,6,8]=>1100000=>96
[6,2,4,5,1,8,7,3]=>1110001=>113
[3,1,4,5,2,8,7,6]=>1100011=>99
[1,6,4,5,2,8,7,3]=>0111001=>57
[3,7,4,5,1,2,6,8]=>1001000=>72
[3,7,4,5,8,2,1,6]=>1101000=>104
[1,7,4,2,6,3,5,8]=>0111000=>56
[8,7,4,5,2,1,6,3]=>1111001=>121
[6,3,7,1,8,4,2,5]=>1111000=>120
[5,7,4,1,6,3,2,8]=>1111000=>120
[1,7,4,8,6,3,2,5]=>0111010=>58
[5,7,4,8,6,3,1,2]=>1011010=>90
[4,8,3,5,6,7,1,2]=>1010000=>80
[1,8,3,5,6,7,2,4]=>0110000=>48
[4,8,1,5,6,7,2,3]=>1100000=>96
[4,1,3,5,6,7,2,8]=>1100000=>96
[5,8,4,3,6,1,2,7]=>1011000=>88
[5,3,8,4,1,7,2,6]=>1111000=>120
[1,5,8,4,6,7,3,2]=>0111000=>56
[1,4,8,3,6,7,5,2]=>0110100=>52
[4,3,8,2,1,7,5,6]=>1110100=>116
[3,8,4,2,6,1,5,7]=>1101000=>104
[1,8,2,5,6,7,4,3]=>0111000=>56
[3,8,1,5,6,7,4,2]=>1101000=>104
[3,8,2,5,6,7,1,4]=>1100000=>96
[8,2,1,5,6,7,4,3]=>1111000=>120
[8,1,3,5,6,7,4,2]=>1101000=>104
[7,1,4,3,6,2,5,8]=>1110000=>112
[7,8,4,3,6,2,1,5]=>1111000=>120
[4,3,1,8,5,7,6,2]=>1110110=>118
[4,3,1,6,8,7,5,2]=>1110101=>117
[6,3,1,8,2,7,4,5]=>1111000=>120
[6,3,5,8,2,7,1,4]=>1110000=>112
[7,5,4,8,6,2,1,3]=>1101110=>110
[7,1,4,8,6,2,3,5]=>1100010=>98
[7,5,4,1,6,2,3,8]=>1101100=>108
[7,6,4,5,8,1,3,2]=>1101010=>106
[1,6,4,5,8,2,3,7]=>0101000=>40
[7,3,6,1,8,2,4,5]=>1110000=>112
[1,7,6,5,8,3,4,2]=>0110110=>54
[1,8,5,3,6,7,4,2]=>0111100=>60
[8,3,5,2,1,7,4,6]=>1111000=>120
[8,4,1,5,6,7,3,2]=>1111000=>120
[8,4,2,5,6,7,1,3]=>1101000=>104
[4,1,8,5,6,7,3,2]=>1110100=>116
[1,2,8,5,6,7,3,4]=>0010100=>20
[4,2,1,5,6,7,3,8]=>1110000=>112
[1,5,3,8,6,7,4,2]=>0111010=>58
[1,4,5,8,6,7,3,2]=>0110010=>50
[4,3,5,8,1,7,2,6]=>1110000=>112
[3,5,4,8,6,1,2,7]=>1001010=>74
[1,4,8,5,6,7,2,3]=>0100100=>36
[3,4,8,5,6,7,1,2]=>1000100=>68
[2,7,1,5,6,3,4,8]=>1010000=>80
[2,7,1,4,3,6,5,8]=>1010100=>84
[4,3,7,2,5,6,8,1]=>1110000=>112
[2,6,3,1,4,5,8,7]=>1010001=>81
[3,7,1,4,2,6,8,5]=>1100100=>100
[3,7,1,5,6,2,8,4]=>1101000=>104
[4,7,1,5,6,8,2,3]=>1100000=>96
[8,5,2,6,7,3,1,4]=>1110100=>116
[8,4,2,6,3,7,1,5]=>1111000=>120
[8,4,2,3,5,7,1,6]=>1101000=>104
[4,7,3,2,5,6,1,8]=>1110000=>112
[5,3,4,6,2,8,1,7]=>1110000=>112
[5,3,7,4,2,8,1,6]=>1111000=>120
[6,4,7,2,3,8,1,5]=>1101000=>104
[6,5,7,2,8,3,1,4]=>1110100=>116
[5,3,7,2,4,8,6,1]=>1110010=>114
[2,6,5,1,8,3,4,7]=>1010100=>84
[8,7,6,1,4,5,2,3]=>1100011=>99
[8,7,6,1,3,2,5,4]=>1101011=>107
[8,7,2,4,3,1,6,5]=>1110101=>117
[8,7,4,5,1,6,2,3]=>1101001=>105
[8,5,6,4,1,7,2,3]=>1101100=>108
[8,5,6,3,1,2,7,4]=>1011100=>92
[8,4,6,2,3,1,7,5]=>1101100=>108
[8,3,5,4,2,1,7,6]=>1111010=>122
[5,7,3,4,2,1,8,6]=>1110010=>114
[6,7,4,2,3,1,8,5]=>1101100=>108
[6,7,5,3,1,2,8,4]=>1011100=>92
[6,7,5,4,1,8,2,3]=>1101100=>108
[10,3,1,2,4,5,6,7,8,9]=>101000000=>320
[10,4,1,2,3,5,6,7,8,9]=>100100000=>288
[5,10,1,2,3,4,6,7,8,9]=>100000000=>256
[10,6,1,2,3,4,5,7,8,9]=>100001000=>264
[10,7,1,2,3,4,5,6,8,9]=>100000100=>260
[8,10,1,2,3,4,5,6,7,9]=>100000000=>256
[2,3,10,1,4,5,6,7,8,9]=>100000000=>256
[4,3,1,10,2,5,6,7,8,9]=>111000000=>448
[5,4,1,2,10,3,6,7,8,9]=>101100000=>352
[5,6,1,2,3,10,4,7,8,9]=>100100000=>288
[7,6,1,2,3,4,10,5,8,9]=>100011000=>280
[8,7,1,2,3,4,5,10,6,9]=>100001100=>268
[8,9,1,2,3,4,5,6,10,7]=>100000100=>260
[6,2,4,3,8,7,5,1]=>1110101=>117
[7,3,5,4,1,8,6,2]=>1111010=>122
[5,2,7,1,3,4,8,6]=>1100010=>98
[2,6,5,7,3,1,4,8]=>1010100=>84
[2,6,5,7,3,1,8,4]=>1011100=>92
[6,3,1,4,7,8,5,2]=>1110100=>116
[6,8,2,1,3,4,5,7]=>1100000=>96
[3,7,1,8,4,5,2,6]=>1101000=>104
[6,3,2,4,7,5,8,1]=>1110100=>116
[6,3,2,4,7,5,1,8]=>1110100=>116
[4,2,1,6,3,7,5,8]=>1110100=>116
[4,2,1,6,3,7,8,5]=>1110100=>116
[7,4,3,5,8,6,1,2]=>1011010=>90
[2,7,6,8,3,1,4,5]=>1010010=>82
[7,4,3,5,8,6,2,1]=>1111010=>122
[4,2,1,7,3,8,6,5]=>1110110=>118
[4,2,1,3,7,8,6,5]=>1100110=>102
[5,8,1,7,4,3,6,2]=>1111000=>120
[5,8,1,7,4,3,2,6]=>1111000=>120
[3,7,8,6,2,1,4,5]=>1100010=>98
[4,2,1,8,3,5,6,7]=>1110000=>112
[4,2,1,3,6,7,5,8]=>1100100=>100
[4,2,1,3,7,5,6,8]=>1100100=>100
[4,2,1,3,6,8,7,5]=>1100101=>101
[7,3,2,4,8,6,5,1]=>1110110=>118
[4,2,1,6,3,8,7,5]=>1110101=>117
[4,2,1,7,3,5,6,8]=>1110000=>112
[3,6,7,5,2,1,4,8]=>1100100=>100
[3,6,7,5,2,1,8,4]=>1101100=>108
[7,3,4,2,6,8,5,1]=>1110100=>116
[4,8,6,2,7,3,5,1]=>1110010=>114
[7,3,4,2,6,8,1,5]=>1110000=>112
[3,6,7,5,2,4,8,1]=>1100100=>100
[3,6,7,5,2,4,1,8]=>1100100=>100
[4,2,1,7,3,6,5,8]=>1110100=>116
[4,2,1,7,3,6,8,5]=>1110100=>116
[3,7,6,8,4,2,5,1]=>1101010=>106
[5,8,1,7,4,2,6,3]=>1111000=>120
[3,7,8,6,2,4,5,1]=>1100010=>98
[4,2,1,3,8,6,7,5]=>1100110=>102
[4,2,1,3,7,6,5,8]=>1100110=>102
[4,2,1,3,5,7,6,8]=>1100010=>98
[4,2,1,3,5,8,6,7]=>1100010=>98
[4,8,1,7,3,6,5,2]=>1110100=>116
[4,7,8,6,3,5,2,1]=>1110010=>114
[4,2,1,8,3,7,6,5]=>1110110=>118
[4,2,1,3,5,6,8,7]=>1100001=>97
[7,8,2,4,1,3,6,5]=>1100100=>100
[2,6,1,5,4,7,8,3]=>1011000=>88
[4,6,3,5,8,7,1,2]=>1010001=>81
[3,5,6,1,4,8,7,2]=>1100001=>97
[2,3,6,8,4,1,5,7]=>1001000=>72
[2,7,5,1,8,3,4,6]=>1010100=>84
[4,7,5,2,1,3,6,8]=>1100100=>100
[3,5,6,2,4,1,7,8]=>1100000=>96
[2,5,6,1,4,8,3,7]=>1010000=>80
[6,7,8,4,1,5,3,2]=>1111000=>120
[7,1,6,8,4,5,3,2]=>1111000=>120
[7,4,6,5,2,8,1,3]=>1101100=>108
[7,1,5,6,4,2,3,8]=>1101000=>104
[5,7,4,6,8,1,3,2]=>1101000=>104
[5,7,8,1,4,6,3,2]=>1110000=>112
[8,1,5,7,4,6,3,2]=>1111000=>120
[1,8,4,6,7,5,3,2]=>0111100=>60
[6,1,8,4,7,5,3,2]=>1111100=>124
[4,5,8,6,1,7,3,2]=>1110010=>114
[4,8,5,1,6,7,3,2]=>1110100=>116
[8,1,4,5,6,7,3,2]=>1110000=>112
[5,6,7,1,4,2,3,8]=>1100000=>96
[8,4,2,6,1,5,7,3]=>1111000=>120
[4,8,5,2,1,6,7,3]=>1110100=>116
[5,1,8,4,2,6,3,7]=>1111000=>120
[1,8,4,6,2,5,3,7]=>0111000=>56
[6,1,5,2,3,4,7,8]=>1100000=>96
[8,3,1,4,6,2,5,7]=>1110000=>112
[3,1,8,2,5,6,4,7]=>1101000=>104
[3,5,1,8,2,6,4,7]=>1101000=>104
[3,5,1,2,8,4,7,6]=>1001010=>74
[2,3,5,8,6,1,7,4]=>1001010=>74
[8,2,4,3,6,7,1,5]=>1110000=>112
[3,2,8,5,7,1,6,4]=>1101100=>108
[3,6,2,8,5,1,7,4]=>1101100=>108
[6,2,1,8,4,7,5,3]=>1111100=>124
[2,8,7,1,4,6,5,3]=>1010101=>85
[8,2,7,1,5,4,6,3]=>1111000=>120
[7,2,5,3,6,8,1,4]=>1110000=>112
[7,3,1,5,6,2,4,8]=>1110000=>112
[3,7,5,1,6,2,4,8]=>1100100=>100
[2,7,3,6,5,8,1,4]=>1010100=>84
[8,7,2,4,1,6,5,3]=>1110101=>117
[1,8,7,2,3,6,5,4]=>0101101=>45
[1,7,8,2,6,4,3,5]=>0111000=>56
[1,7,3,8,2,6,4,5]=>0111000=>56
[1,2,7,3,6,4,5,8]=>0011000=>24
[7,1,5,8,3,2,4,6]=>1110000=>112
[1,6,2,8,4,3,7,5]=>0111100=>60
[1,3,8,7,2,4,6,5]=>0100101=>37
[1,8,3,7,2,5,4,6]=>0111000=>56
[8,1,4,7,3,2,5,6]=>1110000=>112
[4,7,8,1,3,2,5,6]=>1100000=>96
[7,1,4,2,3,5,6,8]=>1100000=>96
[8,2,1,4,7,3,5,6]=>1110000=>112
[2,1,3,8,4,6,7,5]=>1001100=>76
[1,2,3,4,8,5,7,6]=>0000110=>6
[2,4,7,5,6,8,3,1]=>1010100=>84
[2,4,8,7,5,6,3,1]=>1010101=>85
[2,5,3,8,4,7,6,1]=>1011010=>90
[2,8,5,7,3,6,4,1]=>1011100=>92
[3,1,8,5,2,7,6,4]=>1101110=>110
[2,8,6,3,4,5,7,1]=>1010010=>82
[2,5,7,3,4,8,6,1]=>1010010=>82
[8,3,7,6,1,4,5,2]=>1110010=>114
[3,1,7,8,2,5,6,4]=>1101000=>104
[7,3,8,5,1,6,4,2]=>1111100=>124
[7,5,1,2,3,4,8,6]=>1000110=>70
[4,8,1,5,2,7,3,6]=>1110000=>112
[4,1,2,5,3,8,7,6]=>1010011=>83
[4,3,6,8,7,5,1,2]=>1010101=>85
[5,4,1,8,2,7,6,3]=>1111010=>122
[6,4,8,1,2,5,3,7]=>1011000=>88
[6,7,3,1,4,8,5,2]=>1110100=>116
[5,4,1,6,8,2,7,3]=>1111000=>120
[5,4,7,1,2,8,6,3]=>1011010=>90
[6,5,1,2,3,7,8,4]=>1001100=>76
[6,5,1,2,3,4,8,7]=>1000101=>69
[6,7,4,1,2,5,3,8]=>1011000=>88
[2,4,6,3,5,7,1,8]=>1010000=>80
[1,4,6,3,7,2,5,8]=>0110000=>48
[8,6,2,5,3,1,7,4]=>1111010=>122
[8,2,3,4,5,1,7,6]=>1100010=>98
[1,8,3,4,2,7,5,6]=>0110100=>52
[2,8,3,4,1,6,7,5]=>1010100=>84
[8,7,2,3,1,6,5,4]=>1101101=>109
[3,8,2,4,6,1,7,5]=>1100100=>100
[7,8,2,4,3,1,6,5]=>1110100=>116
[4,5,8,2,3,1,7,6]=>1100010=>98
[5,1,4,3,7,2,6,8]=>1110000=>112
[6,1,3,5,7,2,4,8]=>1100000=>96
[2,1,4,7,5,3,6,8]=>1010100=>84
[7,1,3,6,2,5,4,8]=>1101000=>104
[8,1,3,6,2,4,7,5]=>1100100=>100
[2,1,8,3,7,5,4,6]=>1011100=>92
[7,1,8,2,5,6,3,4]=>1110000=>112
[6,1,5,8,2,7,3,4]=>1110000=>112
[4,5,2,8,1,6,7,3]=>1110000=>112
[6,2,5,8,1,4,7,3]=>1110000=>112
[3,2,8,5,1,6,7,4]=>1101100=>108
[8,2,7,1,4,6,5,3]=>1110100=>116
[1,3,8,2,5,7,4,6]=>0101000=>40
[2,8,7,1,6,4,5,3]=>1011001=>89
[3,8,7,1,5,6,4,2]=>1101001=>105
[3,4,8,5,6,1,7,2]=>1100100=>100
[8,3,7,4,1,6,5,2]=>1111100=>124
[1,4,8,6,2,7,3,5]=>0110010=>50
[8,4,5,7,1,6,3,2]=>1111000=>120
[3,5,6,8,4,1,7,2]=>1101000=>104
[6,2,3,1,5,4,7,8]=>1101000=>104
[7,2,3,1,4,6,5,8]=>1100100=>100
[8,2,3,1,4,5,7,6]=>1100010=>98
[8,5,1,3,2,4,7,6]=>1100110=>102
[7,5,1,3,2,6,4,8]=>1101100=>108
[2,6,1,4,5,3,7,8]=>1010000=>80
[3,6,4,1,5,2,7,8]=>1101000=>104
[4,5,6,1,3,2,7,8]=>1100000=>96
[4,5,7,1,2,6,3,8]=>1010000=>80
[3,7,4,1,2,6,5,8]=>1001100=>76
[6,7,1,4,2,5,3,8]=>1110000=>112
[2,7,1,3,5,6,4,8]=>1001000=>72
[8,6,1,2,4,3,7,5]=>1010110=>86
[2,8,1,3,4,6,7,5]=>1000100=>68
[7,8,1,2,5,3,6,4]=>1011000=>88
[3,8,4,1,2,5,7,6]=>1001010=>74
[1,2,6,7,5,3,8,4]=>0011100=>28
[1,7,5,3,2,8,4,6]=>0111100=>60
[1,6,7,5,3,8,4,2]=>0111100=>60
[1,6,5,7,2,3,8,4]=>0101100=>44
[1,3,8,2,6,5,7,4]=>0101100=>44
[1,2,5,7,6,3,4,8]=>0010010=>18
[1,3,4,8,2,5,7,6]=>0100010=>34
[1,5,7,6,2,3,4,8]=>0100010=>34
[1,5,3,8,2,6,4,7]=>0111000=>56
[1,4,8,3,2,5,7,6]=>0110010=>50
[1,4,8,3,5,7,6,2]=>0110010=>50
[1,2,4,8,3,5,7,6]=>0010010=>18
[1,3,8,4,2,6,7,5]=>0101100=>44
[1,4,8,2,3,5,7,6]=>0100010=>34
[6,5,7,3,8,2,4,1]=>1110100=>116
[4,2,6,7,5,8,3,1]=>1110100=>116
[6,7,5,2,1,8,4,3]=>1111100=>124
[3,4,8,7,5,2,1,6]=>1100101=>101
[1,7,5,2,8,4,6,3]=>0111100=>60
[5,6,8,3,1,7,2,4]=>1110000=>112
[6,1,4,8,3,2,7,5]=>1110100=>116
[3,4,7,1,8,6,2,5]=>1100010=>98
[3,4,6,8,2,1,5,7]=>1100000=>96
[3,8,2,5,6,1,4,7]=>1100000=>96
[3,5,2,8,6,4,1,7]=>1101010=>106
[4,2,5,7,3,8,6,1]=>1110010=>114
[7,4,2,5,3,8,1,6]=>1111000=>120
[3,1,2,8,5,6,4,7]=>1001100=>76
[5,2,1,6,8,3,4,7]=>1110000=>112
[5,2,6,8,4,1,3,7]=>1101000=>104
[1,5,6,8,3,4,2,7]=>0110000=>48
[4,5,8,1,6,3,2,7]=>1110000=>112
[4,5,1,6,8,3,2,7]=>1110000=>112
[4,5,7,3,8,2,6,1]=>1110000=>112
[6,4,3,7,8,2,5,1]=>1111000=>120
[6,4,3,1,7,8,2,5]=>1111000=>120
[4,5,3,1,7,8,2,6]=>1110000=>112
[7,1,3,5,4,8,2,6]=>1101000=>104
[7,5,2,8,1,4,3,6]=>1110100=>116
[5,7,3,8,4,6,1,2]=>1011000=>88
[1,4,5,7,3,8,6,2]=>0110010=>50
[4,6,3,7,8,5,2,1]=>1110100=>116
[5,3,6,7,8,4,2,1]=>1111000=>120
[1,5,3,6,7,8,4,2]=>0111000=>56
[4,6,1,7,3,8,5,2]=>1110100=>116
[6,3,7,1,8,4,5,2]=>1111000=>120
[6,7,2,4,8,1,5,3]=>1110000=>112
[2,6,1,4,7,3,8,5]=>1010100=>84
[3,2,5,6,7,8,1,4]=>1100000=>96
[5,2,3,6,7,8,4,1]=>1101000=>104
[6,7,1,3,2,8,4,5]=>1101000=>104
[6,2,7,1,3,4,8,5]=>1100100=>100
[5,2,1,7,3,8,4,6]=>1111000=>120
[6,4,2,7,1,8,3,5]=>1111000=>120
[4,2,6,3,7,8,1,5]=>1110000=>112
[4,2,6,3,7,8,5,1]=>1110100=>116
[6,7,3,8,2,4,5,1]=>1110000=>112
[3,6,2,7,4,1,8,5]=>1101100=>108
[6,7,3,2,1,4,8,5]=>1110100=>116
[7,1,8,3,4,2,5,6]=>1110000=>112
[7,2,4,1,8,3,5,6]=>1110000=>112
[7,2,4,8,6,1,3,5]=>1100010=>98
[7,3,4,8,6,2,1,5]=>1110010=>114
[3,5,7,2,1,8,6,4]=>1101010=>106
[6,7,8,3,2,5,1,4]=>1110000=>112
[6,3,7,8,2,5,4,1]=>1111000=>120
[2,6,7,4,8,5,3,1]=>1011100=>92
[6,2,4,7,1,8,5,3]=>1110100=>116
[4,6,2,7,1,8,5,3]=>1110100=>116
[1,7,4,8,5,2,6,3]=>0111100=>60
[1,3,7,8,5,2,6,4]=>0101100=>44
[2,5,7,8,1,6,3,4]=>1010000=>80
[6,3,7,1,8,2,5,4]=>1111000=>120
[1,6,4,7,8,2,5,3]=>0111000=>56
[2,5,6,1,7,8,4,3]=>1011000=>88
[5,6,1,2,7,8,4,3]=>1011000=>88
[6,7,2,1,8,5,3,4]=>1110100=>116
[6,7,2,8,5,4,1,3]=>1101100=>108
[1,6,7,4,8,5,3,2]=>0111100=>60
[1,8,2,4,6,3,5,7]=>0110000=>48
[7,2,8,3,5,1,4,6]=>1110000=>112
[1,3,7,4,6,2,5,8]=>0101000=>40
[1,5,7,4,3,6,2,8]=>0111000=>56
[1,8,4,5,3,6,2,7]=>0111000=>56
[1,8,5,3,4,7,2,6]=>0110100=>52
[1,8,2,4,6,3,7,5]=>0110100=>52
[1,8,2,5,4,6,7,3]=>0111000=>56
[3,6,2,7,1,4,5,8]=>1100000=>96
[6,3,8,1,2,4,7,5]=>1010100=>84
[1,3,7,4,6,2,8,5]=>0101100=>44
[1,4,7,5,2,6,8,3]=>0110100=>52
[4,5,2,7,1,3,8,6]=>1100010=>98
[4,5,2,3,6,1,8,7]=>1100001=>97
[4,6,5,3,7,1,8,2]=>1110100=>116
[2,5,4,7,1,6,8,3]=>1011000=>88
[4,2,3,8,6,7,1,5]=>1100010=>98
[6,2,4,8,5,1,7,3]=>1110100=>116
[5,2,4,8,1,3,7,6]=>1100010=>98
[6,2,5,4,8,3,7,1]=>1111000=>120
[6,4,3,5,8,2,7,1]=>1111000=>120
[5,2,3,4,8,1,6,7]=>1100000=>96
[3,5,2,4,7,1,6,8]=>1100000=>96
[5,3,4,8,1,6,2,7]=>1110000=>112
[4,5,3,7,1,6,2,8]=>1110000=>112
[6,2,4,8,5,1,3,7]=>1100100=>100
[7,6,3,8,5,1,2,4]=>1010110=>86
[1,4,3,7,8,2,5,6]=>0110000=>48
[4,2,6,7,3,8,1,5]=>1110000=>112
[1,5,7,4,2,8,6,3]=>0111010=>58
[1,3,7,2,8,6,4,5]=>0101010=>42
[1,4,3,7,8,6,2,5]=>0110010=>50
[1,5,3,6,8,2,7,4]=>0111000=>56
[4,5,2,7,1,8,6,3]=>1110010=>114
[4,3,6,5,7,8,1,2]=>1010100=>84
[4,2,3,5,6,8,1,7]=>1100000=>96
[5,2,6,4,7,8,3,1]=>1111000=>120
[4,2,6,7,3,8,5,1]=>1110100=>116
[3,2,5,6,8,1,7,4]=>1101000=>104
[6,4,5,2,3,8,7,1]=>1101001=>105
[8,4,6,7,5,2,3,1]=>1101100=>108
[4,6,5,2,3,1,8,7]=>1100101=>101
[6,4,2,5,3,1,8,7]=>1111001=>121
[6,4,2,5,3,8,7,1]=>1111001=>121
[8,6,4,7,5,2,3,1]=>1101110=>110
[8,6,2,7,4,5,3,1]=>1111010=>122
[6,4,2,5,8,7,3,1]=>1111001=>121
[4,6,2,5,3,8,7,1]=>1110001=>113
[4,6,5,2,3,8,7,1]=>1100101=>101
[6,8,7,4,5,2,3,1]=>1101001=>105
[4,8,6,7,5,2,3,1]=>1100110=>102
[6,8,4,7,5,2,3,1]=>1101100=>108
[6,8,2,7,4,5,3,1]=>1111000=>120
[8,6,4,7,2,5,3,1]=>1111010=>122
[8,6,2,4,7,5,3,1]=>1110110=>118
[6,8,2,4,7,5,3,1]=>1110100=>116
[4,8,2,6,7,5,3,1]=>1110100=>116
[2,8,4,6,7,5,3,1]=>1011100=>92
[2,8,6,7,4,5,3,1]=>1011010=>90
[6,8,7,2,4,5,3,1]=>1110001=>113
[2,6,4,5,8,7,3,1]=>1011001=>89
[2,6,4,8,7,5,3,1]=>1011101=>93
[4,6,2,8,7,5,3,1]=>1110101=>117
[8,2,4,6,7,5,3,1]=>1110100=>116
[6,2,4,8,7,5,3,1]=>1110101=>117
[4,2,6,8,7,5,3,1]=>1110101=>117
[4,2,6,5,8,7,3,1]=>1110101=>117
[6,2,4,5,8,7,3,1]=>1110001=>113
[8,2,6,7,4,5,3,1]=>1111000=>120
[8,6,7,2,4,5,3,1]=>1110010=>114
[6,4,5,2,8,7,3,1]=>1111001=>121
[4,2,3,6,8,7,5,1]=>1100101=>101
[6,4,5,8,7,2,3,1]=>1101001=>105
[8,6,7,4,2,5,3,1]=>1111010=>122
[8,4,6,7,2,5,3,1]=>1111000=>120
[6,4,8,7,2,5,3,1]=>1111001=>121
[6,2,8,7,4,5,3,1]=>1111001=>121
[6,4,8,7,5,2,3,1]=>1101101=>109
[4,6,8,7,5,2,3,1]=>1100101=>101
[4,6,5,8,7,2,3,1]=>1100101=>101
[2,1,6,8,7,4,5,3]=>1011001=>89
[2,6,8,7,4,5,3,1]=>1011001=>89
[2,4,8,6,7,5,3,1]=>1010110=>86
[4,2,8,6,7,5,3,1]=>1110110=>118
[6,2,8,4,7,5,3,1]=>1111100=>124
[8,2,6,4,7,5,3,1]=>1111100=>124
[6,4,8,2,7,5,3,1]=>1111100=>124
[4,6,8,2,7,5,3,1]=>1110100=>116
[2,6,8,4,7,5,3,1]=>1011100=>92
[4,6,8,7,2,5,3,1]=>1110001=>113
[4,6,5,8,2,7,3,1]=>1110100=>116
[2,1,6,8,4,7,5,3]=>1011100=>92
[2,1,8,6,4,7,5,3]=>1011110=>94
[6,8,7,4,2,5,3,1]=>1111001=>121
[2,8,6,4,7,5,3,1]=>1011110=>94
[4,8,6,2,7,5,3,1]=>1110110=>118
[9,8,7,3,6,2,5,1,4]=>11100011=>227
[9,8,7,6,3,5,1,2,4]=>10100111=>167
[9,4,8,3,7,2,6,1,5]=>11110000=>240
[9,8,4,7,3,6,1,2,5]=>10110001=>177
[9,8,7,2,4,6,1,3,5]=>11000011=>195
[9,8,7,4,6,1,2,3,5]=>10010011=>147
[5,9,4,8,3,7,1,2,6]=>10110000=>176
[9,5,8,2,4,7,1,3,6]=>11001000=>200
[9,5,8,4,7,1,2,3,6]=>10011000=>152
[9,8,3,5,7,1,2,4,6]=>10100001=>161
[9,8,5,7,1,2,3,4,6]=>10001001=>137
[6,9,3,5,8,1,2,4,7]=>10100000=>160
[6,9,5,8,1,2,3,4,7]=>10001000=>136
[9,2,4,6,8,1,3,5,7]=>11000000=>192
[9,4,6,8,1,2,3,5,7]=>10010000=>144
[9,6,8,1,2,3,4,5,7]=>10000100=>132
[3,5,7,9,1,2,4,6,8]=>10000000=>128
[5,7,9,1,2,3,4,6,8]=>10000000=>128
[7,9,1,2,3,4,5,6,8]=>10000000=>128
[10,9,8,7,6,5,2,4,1,3]=>110011111=>415
[10,9,8,7,3,6,2,5,1,4]=>111000111=>455
[10,9,8,7,6,3,5,1,2,4]=>101001111=>335
[10,9,4,8,3,7,2,6,1,5]=>111100001=>481
[10,9,8,4,7,3,6,1,2,5]=>101100011=>355
[10,9,8,7,2,4,6,1,3,5]=>110000111=>391
[10,9,8,7,4,6,1,2,3,5]=>100100111=>295
[10,5,9,4,8,3,7,1,2,6]=>101110000=>368
[10,9,5,8,2,4,7,1,3,6]=>110010001=>401
[10,9,5,8,4,7,1,2,3,6]=>100110001=>305
[10,9,8,3,5,7,1,2,4,6]=>101000011=>323
[10,9,8,5,7,1,2,3,4,6]=>100010011=>275
[6,10,5,9,2,4,8,1,3,7]=>110010000=>400
[6,10,5,9,4,8,1,2,3,7]=>100110000=>304
[10,3,6,9,2,5,8,1,4,7]=>111000000=>448
[10,6,9,3,5,8,1,2,4,7]=>101001000=>328
[10,6,9,5,8,1,2,3,4,7]=>100011000=>280
[10,9,2,4,6,8,1,3,5,7]=>110000001=>385
[10,9,4,6,8,1,2,3,5,7]=>100100001=>289
[10,9,6,8,1,2,3,4,5,7]=>100001001=>265
[4,7,10,3,6,9,1,2,5,8]=>101000000=>320
[7,10,2,4,6,9,1,3,5,8]=>110000000=>384
[7,10,4,6,9,1,2,3,5,8]=>100100000=>288
[7,10,6,9,1,2,3,4,5,8]=>100001000=>264
[10,3,5,7,9,1,2,4,6,8]=>101000000=>320
[10,5,7,9,1,2,3,4,6,8]=>100010000=>272
[10,7,9,1,2,3,4,5,6,8]=>100000100=>260
[4,6,8,10,1,2,3,5,7,9]=>100000000=>256
[6,8,10,1,2,3,4,5,7,9]=>100000000=>256
[4,2,5,6,3,8,1,7]=>1110000=>112
[6,2,5,7,4,8,3,1]=>1111000=>120
[8,5,2,1,4,7,6,3]=>1110110=>118
[6,7,3,2,5,8,4,1]=>1111000=>120
[3,2,6,4,8,1,5,7]=>1101000=>104
[2,3,6,4,7,8,5,1]=>1001100=>76
[7,5,1,8,3,4,6,2]=>1110100=>116
[5,7,8,2,6,3,4,1]=>1110000=>112
[7,1,6,3,5,8,4,2]=>1111000=>120
[6,3,1,7,8,4,5,2]=>1111000=>120
[5,3,6,7,4,1,8,2]=>1111000=>120
[7,3,1,2,5,8,6,4]=>1011010=>90
[1,6,3,5,2,4,8,7]=>0110001=>49
[3,4,8,2,7,5,1,6]=>1100100=>100
[6,3,2,8,5,7,4,1]=>1111100=>124
[3,8,4,7,2,5,6,1]=>1101000=>104
[2,4,8,1,5,3,7,6]=>1010010=>82
[3,4,8,1,6,2,7,5]=>1100100=>100
[1,8,4,6,7,3,5,2]=>0111000=>56
[8,1,6,3,4,5,7,2]=>1110000=>112
[7,6,5,4,1,2,8,3]=>1011110=>94
[5,7,6,8,3,4,2,1]=>1110010=>114
[2,8,1,6,5,7,4,3]=>1011100=>92
[4,6,8,2,5,3,7,1]=>1110000=>112
[5,2,3,7,6,1,8,4]=>1101010=>106
[8,1,2,4,6,7,3,5]=>1010000=>80
[5,2,3,7,4,8,6,1]=>1101010=>106
[5,2,6,8,4,3,1,7]=>1111000=>120
[7,8,1,5,4,3,6,2]=>1111000=>120
[7,2,4,8,5,3,6,1]=>1110100=>116
[3,7,5,1,8,4,6,2]=>1101100=>108
[2,7,8,5,4,6,1,3]=>1001100=>76
[5,7,4,3,8,6,2,1]=>1111010=>122
[4,8,1,6,3,5,2,7]=>1110000=>112
[8,3,1,7,4,2,5,6]=>1111000=>120
[3,1,8,2,4,5,7,6]=>1100010=>98
[8,1,3,7,6,2,4,5]=>1100010=>98
[2,3,6,8,7,1,4,5]=>1000001=>65
[4,3,2,8,5,7,1,6]=>1110100=>116
[3,6,4,2,8,5,7,1]=>1101100=>108
[4,7,3,2,5,1,8,6]=>1110010=>114
[3,2,4,7,5,8,6,1]=>1100110=>102
[4,2,3,8,6,5,1,7]=>1100110=>102
[2,4,3,5,1,8,6,7]=>1010010=>82
[3,2,8,1,4,6,5,7]=>1100100=>100
[3,7,8,5,6,1,2,4]=>1000100=>68
[3,6,1,8,4,7,2,5]=>1101000=>104
[3,1,6,8,4,7,2,5]=>1101000=>104
[4,1,6,8,3,2,7,5]=>1110100=>116
[4,6,1,8,3,2,7,5]=>1110100=>116
[4,7,8,1,3,2,6,5]=>1100100=>100
[4,7,8,3,1,2,6,5]=>1010100=>84
[2,7,8,3,4,6,5,1]=>1010100=>84
[4,7,8,2,1,3,6,5]=>1100100=>100
[4,6,1,8,2,3,7,5]=>1100100=>100
[4,1,6,8,2,3,7,5]=>1100100=>100
[4,5,1,2,8,3,7,6]=>1010010=>82
[4,5,2,1,8,3,7,6]=>1110010=>114
[4,6,2,8,1,3,7,5]=>1100100=>100
[3,6,2,8,4,7,1,5]=>1101000=>104
[2,3,6,8,4,7,5,1]=>1001100=>76
[3,2,6,8,4,7,1,5]=>1101000=>104
[4,2,6,8,3,1,7,5]=>1110100=>116
[4,2,5,1,8,3,7,6]=>1110010=>114
[4,1,2,5,8,3,7,6]=>1010010=>82
[5,1,2,4,3,8,7,6]=>1010011=>83
[5,2,4,1,3,8,7,6]=>1100011=>99
[4,2,5,3,8,1,7,6]=>1110010=>114
[3,2,5,4,8,7,1,6]=>1101001=>105
[3,5,2,4,8,7,1,6]=>1100001=>97
[5,4,2,1,3,8,7,6]=>1101011=>107
[5,1,4,2,3,8,7,6]=>1100011=>99
[5,4,1,3,2,8,7,6]=>1101011=>107
[5,4,3,1,2,8,7,6]=>1011011=>91
[4,5,3,1,8,2,7,6]=>1110010=>114
[4,5,1,3,8,2,7,6]=>1100010=>98
[3,1,5,4,8,7,2,6]=>1101001=>105
[3,5,1,4,8,7,2,6]=>1100001=>97
[3,5,4,1,8,7,2,6]=>1101001=>105
[3,6,5,8,7,1,2,4]=>1000101=>69
[2,5,6,8,7,3,4,1]=>1010001=>81
[3,4,5,1,8,7,2,6]=>1100001=>97
[3,4,1,5,8,7,2,6]=>1100001=>97
[4,1,3,5,8,2,7,6]=>1100010=>98
[4,3,6,8,2,1,7,5]=>1110100=>116
[2,4,6,8,3,7,5,1]=>1010100=>84
[3,4,5,2,8,7,1,6]=>1100001=>97
[5,3,1,4,2,8,7,6]=>1110011=>115
[5,1,3,4,2,8,7,6]=>1100011=>99
[5,1,3,2,4,8,7,6]=>1100011=>99
[5,3,2,1,4,8,7,6]=>1110011=>115
[4,3,2,5,8,1,7,6]=>1110010=>114
[3,4,2,5,8,7,1,6]=>1100001=>97
[3,2,4,5,8,7,1,6]=>1100001=>97
[4,2,3,5,8,1,7,6]=>1100010=>98
[5,2,3,1,4,8,7,6]=>1100011=>99
[5,2,1,3,4,8,7,6]=>1100011=>99
[5,1,2,3,4,8,7,6]=>1000011=>67
[8,6,2,5,4,1,3,7]=>1101010=>106
[6,5,7,4,2,8,3,1]=>1111100=>124
[6,7,5,3,8,2,4,1]=>1110100=>116
[8,2,1,6,3,4,5,7]=>1110000=>112
[8,3,5,6,2,4,1,7]=>1110000=>112
[8,6,2,1,3,5,4,7]=>1101010=>106
[8,1,2,3,4,6,5,7]=>1000100=>68
[6,2,3,7,8,4,5,1]=>1101000=>104
[7,5,8,2,6,3,4,1]=>1110100=>116
[7,3,1,6,5,8,4,2]=>1111100=>124
[1,5,6,7,3,4,8,2]=>0110000=>48
[6,7,8,2,1,4,5,3]=>1110000=>112
[8,4,7,6,2,1,3,5]=>1101010=>106
[5,3,8,4,7,2,6,1]=>1111000=>120
[8,1,3,7,6,4,2,5]=>1101010=>106
[5,3,1,7,8,6,2,4]=>1110010=>114
[3,5,8,2,7,1,6,4]=>1101000=>104
[6,2,8,5,3,1,7,4]=>1111100=>124
[8,2,6,4,7,1,3,5]=>1101000=>104
[3,4,2,8,5,1,7,6]=>1100110=>102
[3,8,6,5,2,1,7,4]=>1101110=>110
[8,3,7,4,2,5,6,1]=>1111000=>120
[4,8,5,7,2,1,3,6]=>1100100=>100
[3,4,1,8,2,6,7,5]=>1100100=>100
[8,4,6,3,7,1,5,2]=>1111000=>120
[6,8,3,4,1,5,7,2]=>1110000=>112
[5,1,7,6,2,8,4,3]=>1111010=>122
[6,8,2,5,7,4,1,3]=>1101000=>104
[2,8,5,6,7,1,3,4]=>1000100=>68
[2,5,7,6,3,1,8,4]=>1011010=>90
[4,2,8,3,1,5,6,7]=>1110000=>112
[2,5,7,3,8,4,6,1]=>1011000=>88
[4,2,7,1,8,5,3,6]=>1110100=>116
[4,2,1,8,7,5,6,3]=>1110101=>117
[8,3,6,7,1,5,4,2]=>1111000=>120
[1,3,7,5,8,6,4,2]=>0101110=>46
[5,7,8,4,3,1,6,2]=>1111000=>120
[2,7,4,5,8,3,6,1]=>1011000=>88
[3,5,7,1,4,8,6,2]=>1100010=>98
[7,2,8,5,1,4,6,3]=>1110100=>116
[1,6,5,3,8,4,2,7]=>0111100=>60
[5,7,4,8,3,6,2,1]=>1111000=>120
[4,8,6,1,3,5,2,7]=>1100010=>98
[1,8,3,2,4,7,5,6]=>0110100=>52
[8,4,3,2,5,7,1,6]=>1111000=>120
[3,6,4,8,2,5,7,1]=>1101000=>104
[4,3,7,2,5,8,1,6]=>1110000=>112
[3,2,4,7,8,5,6,1]=>1100100=>100
[2,6,4,3,8,5,1,7]=>1011100=>92
[3,8,2,1,6,4,5,7]=>1101000=>104
[8,2,1,3,4,5,7,6]=>1100010=>98
[4,6,8,3,2,1,5,7]=>1110000=>112
[3,2,6,8,5,4,1,7]=>1101100=>108
[7,3,8,2,5,4,1,6]=>1111000=>120
[4,2,5,3,8,7,6,1]=>1110011=>115
[4,8,2,6,5,3,1,7]=>1110100=>116
[2,6,8,5,4,1,3,7]=>1001100=>76
[3,1,8,6,5,4,2,7]=>1101110=>110
[5,4,8,7,3,2,6,1]=>1111001=>121
[6,4,8,3,7,2,5,1]=>1111000=>120
[4,7,3,6,2,1,8,5]=>1110100=>116
[5,4,3,7,1,8,2,6]=>1111000=>120
[7,3,8,5,1,4,2,6]=>1110100=>116
[5,4,8,7,6,2,1,3]=>1101011=>107
[3,8,1,5,7,4,6,2]=>1101000=>104
[4,8,5,7,3,1,6,2]=>1110100=>116
[1,5,4,8,3,7,6,2]=>0111010=>58
[4,8,3,6,7,1,5,2]=>1110000=>112
[4,7,8,3,1,6,5,2]=>1110100=>116
[8,7,5,3,6,4,2,1]=>1111101=>125
[4,6,1,3,8,7,5,2]=>1100101=>101
[6,8,2,1,7,4,5,3]=>1111000=>120
[3,7,1,6,4,2,8,5]=>1101100=>108
[3,1,2,7,5,6,8,4]=>1001100=>76
[3,6,1,2,7,5,8,4]=>1001100=>76
[3,7,6,2,5,8,1,4]=>1100010=>98
[3,6,2,5,8,7,4,1]=>1101001=>105
[8,5,2,3,6,7,4,1]=>1101100=>108
[4,7,2,6,3,8,1,5]=>1110000=>112
[6,3,2,4,8,7,5,1]=>1110101=>117
[3,7,2,4,6,1,8,5]=>1100100=>100
[5,3,7,2,8,1,4,6]=>1110000=>112
[6,3,2,8,7,5,1,4]=>1110101=>117
[7,3,8,2,6,5,1,4]=>1110100=>116
[6,4,8,7,2,5,1,3]=>1101001=>105
[2,5,4,8,1,7,6,3]=>1011010=>90
[5,2,8,1,7,6,3,4]=>1110010=>114
[6,2,1,3,8,7,5,4]=>1101101=>109
[3,6,1,8,7,5,2,4]=>1100101=>101
[5,6,1,2,8,7,4,3]=>1011001=>89
[7,5,2,8,1,6,4,3]=>1111100=>124
[2,7,6,8,1,5,4,3]=>1011010=>90
[7,8,5,1,6,2,4,3]=>1110100=>116
[7,4,8,6,1,2,5,3]=>1011010=>90
[7,2,1,8,3,6,5,4]=>1111100=>124
[5,8,7,1,6,4,3,2]=>1111001=>121
[7,6,5,4,3,2,9,8,1]=>11111101=>253
[10,7,6,5,4,3,2,1,9,8]=>111111110=>510
[9,6,5,4,3,2,8,1,7]=>11111100=>252
[9,7,5,4,3,2,1,8,6]=>11111110=>254
[8,5,4,3,7,2,1,6]=>1111100=>124
[6,5,4,8,3,2,7,1]=>1111100=>124
[7,6,5,4,3,9,2,8,1]=>11111100=>252
[7,6,4,3,2,8,5,1]=>1111110=>126
[8,6,5,4,3,2,9,7,1]=>11111110=>254
[8,7,6,5,4,3,2,10,9,1]=>111111101=>509
[7,3,1,4,8,2,5,6]=>1110000=>112
[7,4,1,2,5,8,3,6]=>1011000=>88
[6,7,4,2,5,1,3,8]=>1101000=>104
[5,7,2,4,6,8,1,3]=>1100000=>96
[4,7,5,1,6,2,8,3]=>1110100=>116
[5,7,4,6,3,1,8,2]=>1111000=>120
[7,5,1,4,3,2,8,6]=>1110110=>118
[8,6,4,2,3,7,5,1]=>1101110=>110
[6,4,7,1,3,8,5,2]=>1101100=>108
[5,4,2,7,3,1,6,8]=>1111000=>120
[4,5,1,2,7,6,8,3]=>1010010=>82
[5,4,6,8,3,1,2,7]=>1011000=>88
[6,4,8,1,3,7,2,5]=>1101000=>104
[4,6,1,3,8,5,2,7]=>1100100=>100
[1,3,8,4,5,7,2,6]=>0101000=>40
[2,6,7,4,5,3,1,8]=>1011000=>88
[2,6,8,4,3,5,1,7]=>1011000=>88
[1,3,7,4,2,8,5,6]=>0101100=>44
[4,6,1,3,7,2,5,8]=>1100000=>96
[7,5,8,6,2,1,3,4]=>1100110=>102
[2,8,1,3,6,5,4,7]=>1001100=>76
[2,8,7,3,5,4,1,6]=>1011001=>89
[3,4,2,6,8,7,1,5]=>1100001=>97
[7,4,2,3,6,1,8,5]=>1101100=>108
[8,4,2,3,6,5,7,1]=>1101100=>108
[7,3,8,4,1,2,6,5]=>1011100=>92
[6,8,3,2,7,1,5,4]=>1111000=>120
[2,8,5,6,3,7,1,4]=>1010100=>84
[7,4,2,5,8,1,6,3]=>1111000=>120
[2,7,8,3,4,5,1,6]=>1010000=>80
[3,7,1,2,4,6,5,8]=>1000100=>68
[7,5,6,8,2,1,4,3]=>1110100=>116
[3,1,6,5,2,7,4,8]=>1101100=>108
[2,8,6,5,3,4,1,7]=>1010110=>86
[1,7,2,3,5,6,8,4]=>0101000=>40
[3,7,4,2,1,5,6,8]=>1101000=>104
[3,4,6,2,8,5,7,1]=>1100100=>100
[4,2,1,7,5,8,3,6]=>1110100=>116
[4,7,2,6,5,1,3,8]=>1100100=>100
[3,7,4,1,2,5,8,6]=>1001010=>74
[4,7,1,6,5,2,8,3]=>1110100=>116
[4,7,3,6,5,1,8,2]=>1110100=>116
[4,3,7,1,6,8,5,2]=>1110100=>116
[4,2,1,7,5,6,8,3]=>1110100=>116
[3,2,4,8,6,7,1,5]=>1100010=>98
[4,2,6,8,7,3,1,5]=>1110001=>113
[3,4,6,1,8,5,2,7]=>1100100=>100
[4,1,6,7,5,8,2,3]=>1100100=>100
[4,3,6,7,5,1,2,8]=>1010100=>84
[4,3,7,1,6,8,2,5]=>1110000=>112
[4,3,7,5,6,8,2,1]=>1110100=>116
[4,1,7,3,6,5,2,8]=>1110100=>116
[2,8,7,4,5,3,1,6]=>1011001=>89
[2,8,7,4,3,5,1,6]=>1011001=>89
[3,8,1,4,2,6,5,7]=>1100100=>100
[4,1,7,3,6,2,5,8]=>1110000=>112
[5,8,7,6,1,2,4,3]=>1010011=>83
[5,8,7,6,2,1,3,4]=>1100011=>99
[4,1,7,2,6,8,5,3]=>1110100=>116
[4,2,7,3,6,1,8,5]=>1110100=>116
[4,2,7,3,6,5,8,1]=>1110100=>116
[3,8,2,4,5,6,7,1]=>1100000=>96
[3,8,2,4,1,6,7,5]=>1100100=>100
[3,8,5,6,2,4,1,7]=>1100100=>100
[2,8,6,5,3,7,1,4]=>1010110=>86
[3,8,6,5,1,4,7,2]=>1100110=>102
[3,8,2,1,4,6,7,5]=>1100100=>100
[3,8,2,5,4,6,7,1]=>1101000=>104
[4,2,7,5,6,3,8,1]=>1110100=>116
[4,2,7,5,6,1,8,3]=>1110100=>116
[4,2,6,7,5,3,1,8]=>1110100=>116
[3,2,6,1,4,5,8,7]=>1100001=>97
[2,8,7,3,4,5,1,6]=>1010001=>81
[3,8,1,2,4,6,5,7]=>1000100=>68
[5,8,7,6,1,3,4,2]=>1100011=>99
[5,8,7,6,2,3,4,1]=>1100011=>99
[4,1,7,5,6,2,3,8]=>1100100=>100
[3,8,1,5,2,6,4,7]=>1101000=>104
[2,8,7,5,3,4,1,6]=>1010101=>85
[2,8,7,5,4,3,1,6]=>1011101=>93
[4,1,7,5,6,3,2,8]=>1110100=>116
[5,8,7,6,1,3,2,4]=>1100011=>99
[5,8,7,6,4,1,2,3]=>1001011=>75
[5,4,2,3,7,6,8,1]=>1101010=>106
[7,4,3,5,2,8,1,6]=>1111000=>120
[8,4,3,7,5,1,6,2]=>1111100=>124
[8,4,7,2,5,1,6,3]=>1111000=>120
[7,4,6,2,3,5,8,1]=>1101000=>104
[5,1,7,2,4,6,8,3]=>1110000=>112
[4,5,7,1,2,6,8,3]=>1010000=>80
[5,4,1,7,3,6,8,2]=>1111000=>120
[3,6,4,7,5,2,8,1]=>1101100=>108
[3,4,7,6,2,5,8,1]=>1100010=>98
[4,7,5,6,1,3,8,2]=>1100100=>100
[5,7,6,4,3,1,8,2]=>1111010=>122
[5,7,6,3,1,4,8,2]=>1110010=>114
[7,5,2,3,4,8,1,6]=>1100100=>100
[8,7,5,3,4,1,6,2]=>1110101=>117
[6,7,1,3,8,4,2,5]=>1101000=>104
[7,6,1,3,4,8,5,2]=>1100110=>102
[3,6,5,2,7,8,1,4]=>1100100=>100
[3,2,8,6,7,1,4,5]=>1100010=>98
[4,8,3,6,5,2,1,7]=>1110100=>116
[1,8,6,5,4,2,3,7]=>0101110=>46
[1,8,7,2,3,5,4,6]=>0101001=>41
[1,8,7,2,5,3,4,6]=>0110001=>49
[3,6,8,5,1,2,4,7]=>1000100=>68
[3,7,5,1,8,2,6,4]=>1101100=>108
[7,1,2,8,3,5,6,4]=>1011000=>88
[6,1,7,8,2,5,3,4]=>1110000=>112
[6,7,5,2,8,1,4,3]=>1110100=>116
[7,1,4,5,8,6,2,3]=>1100010=>98
[5,7,6,4,2,8,1,3]=>1101010=>106
[7,5,6,1,2,8,4,3]=>1011100=>92
[4,1,3,7,8,6,2,5]=>1100010=>98
[5,1,4,3,6,8,7,2]=>1110001=>113
[4,5,7,6,8,2,1,3]=>1100010=>98
[5,7,6,8,4,2,1,3]=>1101010=>106
[5,1,6,8,4,2,7,3]=>1111000=>120
[7,4,8,2,3,6,5,1]=>1101100=>108
[5,6,8,4,7,3,2,1]=>1111000=>120
[6,4,7,8,5,2,1,3]=>1101100=>108
[3,6,4,8,5,1,2,7]=>1001100=>76
[3,7,4,8,1,2,5,6]=>1001000=>72
[7,4,3,8,2,6,5,1]=>1111100=>124
[7,6,8,3,2,5,4,1]=>1111010=>122
[8,7,1,3,5,4,6,2]=>1101001=>105
[7,1,8,3,4,2,6,5]=>1110100=>116
[7,6,8,3,1,4,5,2]=>1110010=>114
[3,1,4,8,2,5,7,6]=>1100010=>98
[4,8,5,2,1,3,6,7]=>1100100=>100
[5,8,2,6,3,1,4,7]=>1110000=>112
[6,8,2,3,7,4,1,5]=>1101000=>104
[7,8,2,3,4,6,5,1]=>1100100=>100
[8,1,7,2,4,5,3,6]=>1110000=>112
[8,1,3,6,2,5,4,7]=>1101000=>104
[7,2,1,6,3,5,4,8]=>1111000=>120
[2,7,1,6,3,5,4,8]=>1011000=>88
[2,7,1,5,4,3,6,8]=>1011000=>88
[7,2,1,5,4,3,6,8]=>1111000=>120
[8,1,3,5,4,2,6,7]=>1101000=>104
[8,1,5,3,4,2,6,7]=>1110000=>112
[8,1,5,6,2,3,7,4]=>1101000=>104
[8,1,4,5,3,2,6,7]=>1110000=>112
[8,1,4,3,5,2,6,7]=>1110000=>112
[7,2,1,4,5,3,6,8]=>1110000=>112
[2,7,1,4,5,3,6,8]=>1010000=>80
[2,6,3,1,5,4,7,8]=>1011000=>88
[6,3,2,1,5,4,7,8]=>1111000=>120
[7,3,1,4,5,2,6,8]=>1110000=>112
[7,3,1,5,4,2,6,8]=>1111000=>120
[7,3,1,6,2,5,4,8]=>1111000=>120
[3,7,1,6,2,5,4,8]=>1101000=>104
[3,7,1,4,5,2,6,8]=>1100000=>96
[3,6,2,1,5,4,7,8]=>1101000=>104
[2,3,6,1,5,4,7,8]=>1001000=>72
[3,5,2,4,1,6,7,8]=>1100000=>96
[6,3,4,1,5,2,7,8]=>1110000=>112
[6,2,4,1,5,3,7,8]=>1110000=>112
[2,6,4,1,5,3,7,8]=>1011000=>88
[2,6,5,1,3,7,4,8]=>1001100=>76
[6,2,5,1,3,7,4,8]=>1101000=>104
[6,5,2,1,3,7,4,8]=>1101100=>108
[7,6,1,2,4,5,3,8]=>1010010=>82
[6,7,1,2,8,3,5,4]=>1011000=>88
[6,7,1,2,5,4,3,8]=>1011000=>88
[5,6,2,1,3,7,4,8]=>1101000=>104
[5,2,6,1,3,7,4,8]=>1101000=>104
[2,4,6,1,5,3,7,8]=>1010000=>80
[4,7,1,3,5,2,6,8]=>1100000=>96
[4,7,1,5,3,2,6,8]=>1110000=>112
[5,7,1,4,2,6,3,8]=>1110000=>112
[5,7,1,6,2,3,8,4]=>1101000=>104
[5,6,3,1,2,7,4,8]=>1011000=>88
[4,2,5,3,1,6,7,8]=>1110000=>112
[5,3,6,1,2,7,4,8]=>1011000=>88
[3,4,6,1,5,2,7,8]=>1100000=>96
[6,5,1,8,7,3,4,2]=>1110101=>117
[8,2,7,5,4,1,3,6]=>1101100=>108
[6,8,5,2,3,4,1,7]=>1100100=>100
[2,6,8,7,1,5,3,4]=>1010001=>81
[8,5,6,2,7,1,4,3]=>1110100=>116
[6,5,1,2,7,8,4,3]=>1011100=>92
[4,7,6,1,5,3,8,2]=>1110010=>114
[5,7,6,4,1,3,8,2]=>1101010=>106
[7,6,2,4,5,3,8,1]=>1110010=>114
[6,1,7,5,3,8,4,2]=>1111100=>124
[8,6,7,5,3,1,4,2]=>1110110=>118
[8,5,2,7,1,6,4,3]=>1111100=>124
[7,6,1,5,3,8,4,2]=>1111010=>122
[5,6,2,4,7,8,1,3]=>1100000=>96
[3,4,6,1,7,8,5,2]=>1100100=>100
[3,4,8,6,7,1,5,2]=>1100010=>98
[4,8,5,6,7,2,3,1]=>1100100=>100
[5,8,6,4,1,2,7,3]=>1011010=>90
[5,8,6,1,7,2,4,3]=>1110010=>114
[5,8,7,3,2,6,4,1]=>1111001=>121
[5,8,1,7,2,6,4,3]=>1111000=>120
[8,1,5,7,2,6,4,3]=>1111000=>120
[8,1,7,2,5,6,3,4]=>1110000=>112
[6,8,7,2,5,1,3,4]=>1100001=>97
[5,8,7,2,1,6,3,4]=>1110001=>113
[4,8,1,5,2,6,7,3]=>1110000=>112
[3,7,8,5,1,6,2,4]=>1100100=>100
[6,5,2,7,8,1,4,3]=>1110100=>116
[7,1,2,8,5,6,3,4]=>1010100=>84
[8,7,2,1,5,6,3,4]=>1110001=>113
[8,6,7,1,5,2,3,4]=>1100010=>98
[6,1,7,8,5,2,3,4]=>1100100=>100
[7,5,6,2,1,8,4,3]=>1111100=>124
[8,7,5,2,1,6,4,3]=>1111101=>125
[7,1,3,5,8,6,2,4]=>1100010=>98
[5,1,3,4,6,8,7,2]=>1100001=>97
[4,5,3,6,8,2,7,1]=>1110000=>112
[5,6,3,4,8,1,7,2]=>1110000=>112
[4,6,7,8,5,1,3,2]=>1100100=>100
[8,4,3,1,2,6,7,5]=>1011100=>92
[8,5,1,6,3,4,7,2]=>1110100=>116
[5,1,8,6,3,4,7,2]=>1110010=>114
[4,6,8,1,5,3,7,2]=>1110000=>112
[6,4,5,8,3,2,7,1]=>1111000=>120
[3,6,4,8,7,1,5,2]=>1101001=>105
[6,5,8,1,3,4,7,2]=>1100100=>100
[5,6,8,3,1,2,7,4]=>1011000=>88
[6,1,8,3,5,2,7,4]=>1111000=>120
[7,6,8,3,5,2,1,4]=>1110010=>114
[8,6,1,3,5,2,7,4]=>1101010=>106
[8,7,1,3,5,6,2,4]=>1100001=>97
[6,7,8,3,5,1,2,4]=>1010000=>80
[3,4,8,1,2,6,7,5]=>1000100=>68
[5,8,2,4,3,6,7,1]=>1110000=>112
[5,8,2,3,1,6,7,4]=>1101000=>104
[6,8,2,3,5,1,7,4]=>1101000=>104
[7,8,2,3,5,6,1,4]=>1100000=>96
[8,6,5,1,4,3,7,2]=>1110110=>118
[2,4,8,6,1,3,7,5]=>1000110=>70
[6,7,1,8,4,3,5,2]=>1111000=>120
[2,7,8,6,1,4,3,5]=>1010010=>82
[2,7,3,8,1,6,4,5]=>1011000=>88
[7,5,1,8,2,4,6,3]=>1110100=>116
[2,7,8,4,1,6,3,5]=>1011000=>88
[2,6,5,4,1,3,8,7]=>1001101=>77
[4,1,7,6,3,8,2,5]=>1110010=>114
[4,8,2,5,7,6,3,1]=>1110010=>114
[3,4,6,5,1,8,2,7]=>1100100=>100
[2,6,5,3,4,1,8,7]=>1010101=>85
[4,6,1,5,2,3,8,7]=>1100001=>97
[6,2,3,5,1,4,8,7]=>1100001=>97
[2,6,7,5,1,8,4,3]=>1011100=>92
[8,6,1,2,5,3,4,7]=>1010010=>82
[6,2,5,1,8,3,4,7]=>1110000=>112
[7,6,5,2,8,3,4,1]=>1110110=>118
[2,6,3,5,1,8,7,4]=>1011001=>89
[2,4,7,6,5,8,1,3]=>1000110=>70
[2,1,4,8,7,6,3,5]=>1010011=>83
[7,4,6,8,5,3,2,1]=>1111100=>124
[8,1,3,5,7,4,6,2]=>1101000=>104
[3,2,8,7,5,1,6,4]=>1101101=>109
[4,8,5,1,6,7,2,3]=>1100100=>100
[3,8,5,1,6,7,2,4]=>1100100=>100
[7,8,6,1,3,5,2,4]=>1100010=>98
[5,6,7,2,8,1,3,4]=>1100000=>96
[2,5,1,8,6,7,4,3]=>1011010=>90
[3,5,1,8,6,7,4,2]=>1101010=>106
[5,2,3,8,6,7,4,1]=>1101010=>106
[8,3,5,4,6,7,1,2]=>1011000=>88
[5,1,3,8,6,7,4,2]=>1101010=>106
[3,2,5,8,6,7,4,1]=>1101010=>106
[6,2,1,5,3,8,7,4]=>1111001=>121
[5,6,3,2,8,1,4,7]=>1110000=>112
[8,1,6,3,5,2,7,4]=>1111000=>120
[8,7,6,2,5,3,1,4]=>1110011=>115
[4,7,6,8,3,2,5,1]=>1110010=>114
[2,7,5,8,1,3,4,6]=>1000100=>68
[7,6,2,8,5,1,4,3]=>1110110=>118
[8,1,3,7,5,2,6,4]=>1101100=>108
[3,4,8,7,5,1,6,2]=>1100101=>101
[6,3,8,1,4,2,5,7]=>1110000=>112
[6,3,8,5,7,4,1,2]=>1011100=>92
[7,4,6,8,5,1,3,2]=>1101100=>108
[2,1,4,8,7,5,6,3]=>1010101=>85
[7,1,5,8,2,6,4,3]=>1111000=>120
[3,6,8,2,4,1,7,5]=>1100100=>100
[4,5,8,2,6,7,3,1]=>1110000=>112
[5,2,8,1,6,7,3,4]=>1110000=>112
[2,5,8,4,6,7,3,1]=>1011000=>88
[5,8,3,4,6,7,2,1]=>1110000=>112
[8,4,3,2,6,7,1,5]=>1111000=>120
[4,2,8,1,6,7,3,5]=>1110000=>112
[2,4,8,1,6,7,3,5]=>1010000=>80
[5,1,8,2,6,7,3,4]=>1110000=>112
[3,4,8,7,2,1,5,6]=>1100001=>97
[7,8,5,3,6,4,2,1]=>1111100=>124
[2,8,5,7,4,1,3,6]=>1001100=>76
[5,8,4,1,6,7,2,3]=>1101000=>104
[3,8,1,4,6,7,2,5]=>1100000=>96
[8,2,3,4,6,7,1,5]=>1100000=>96
[6,2,7,3,8,4,1,5]=>1111000=>120
[7,4,3,2,8,5,1,6]=>1111100=>124
[5,3,2,8,4,6,1,7]=>1111000=>120
[8,4,2,6,5,3,1,7]=>1111100=>124
[7,4,2,5,3,1,6,8]=>1111000=>120
[8,3,6,2,5,4,1,7]=>1111000=>120
[5,4,8,3,2,6,1,7]=>1111000=>120
[3,5,8,2,4,6,1,7]=>1100000=>96
[6,4,7,8,2,3,1,5]=>1101000=>104
[5,8,3,6,4,2,1,7]=>1111000=>120
[4,8,6,2,5,3,1,7]=>1110010=>114
[1,6,4,3,2,8,7,5]=>0111101=>61
[1,5,3,2,8,4,7,6]=>0111010=>58
[5,7,4,3,1,2,6,8]=>1011000=>88
[2,8,7,3,5,1,4,6]=>1010001=>81
[7,3,8,6,4,1,2,5]=>1011010=>90
[6,1,2,7,3,8,5,4]=>1011100=>92
[2,1,7,4,3,8,6,5]=>1011110=>94
[6,1,4,3,8,2,7,5]=>1110100=>116
[5,1,3,2,8,7,4,6]=>1101001=>105
[1,8,4,2,7,6,5,3]=>0111110=>62
[1,8,3,7,2,6,5,4]=>0111100=>60
[5,1,4,8,3,7,2,6]=>1110000=>112
[2,1,6,8,5,4,7,3]=>1011100=>92
[6,1,5,7,8,2,4,3]=>1110000=>112
[8,3,1,6,7,2,5,4]=>1111000=>120
[7,4,8,6,1,3,2,5]=>1101010=>106
[4,7,6,1,2,5,3,8]=>1010010=>82
[3,7,6,1,5,2,4,8]=>1100010=>98
[1,5,4,8,3,2,7,6]=>0111010=>58
[7,3,6,1,2,5,4,8]=>1011000=>88
[5,4,7,1,3,2,6,8]=>1101000=>104
[5,7,4,8,2,1,3,6]=>1101000=>104
[4,6,8,2,5,1,3,7]=>1100000=>96
[7,4,6,2,1,5,3,8]=>1111000=>120
[1,2,6,3,8,5,7,4]=>0011100=>28
[1,5,2,6,8,4,7,3]=>0111000=>56
[5,7,2,3,8,1,4,6]=>1100000=>96
[6,4,7,5,8,1,2,3]=>1001100=>76
[7,4,8,5,1,6,3,2]=>1111100=>124
[5,8,3,6,1,7,4,2]=>1111000=>120
[8,6,4,2,1,7,5,3]=>1111110=>126
[7,4,2,1,5,8,6,3]=>1111010=>122
[7,6,4,1,8,5,2,3]=>1101110=>110
[1,6,4,8,7,5,3,2]=>0111101=>61
[6,3,1,2,8,4,7,5]=>1011100=>92
[7,5,1,3,2,8,6,4]=>1101110=>110
[4,7,1,2,5,8,6,3]=>1010010=>82
[6,8,4,1,2,7,5,3]=>1011100=>92
[7,5,8,1,2,6,4,3]=>1011100=>92
[7,4,8,1,6,3,5,2]=>1111000=>120
[5,8,2,1,7,3,6,4]=>1111000=>120
[3,6,1,8,2,4,7,5]=>1100100=>100
[1,3,8,7,6,2,5,4]=>0101011=>43
[5,4,1,8,7,3,2,6]=>1111001=>121
[3,5,1,8,7,2,4,6]=>1100001=>97
[4,6,1,8,3,7,2,5]=>1110000=>112
[4,7,1,2,8,6,3,5]=>1010010=>82
[5,8,4,1,7,6,2,3]=>1101010=>106
[7,6,8,1,5,4,2,3]=>1101010=>106
[8,6,1,7,5,4,3,2]=>1111110=>126
[7,1,5,8,6,4,3,2]=>1111010=>122
[5,1,8,7,3,6,4,2]=>1111001=>121
[4,1,8,7,6,2,5,3]=>1110011=>115
[3,1,8,7,6,5,2,4]=>1100111=>103
[1,6,4,5,2,3,7,8]=>0101000=>40
[1,7,4,5,2,3,6,8]=>0101000=>40
[1,7,3,5,2,4,6,8]=>0110000=>48
[1,6,3,5,2,4,7,8]=>0110000=>48
[1,6,3,4,2,5,7,8]=>0110000=>48
[1,7,3,4,2,5,6,8]=>0110000=>48
[1,8,6,7,3,4,2,5]=>0110010=>50
[1,8,5,7,3,4,2,6]=>0110100=>52
[1,7,3,4,2,6,5,8]=>0110100=>52
[1,5,2,8,4,7,3,6]=>0111000=>56
[1,4,2,8,5,7,3,6]=>0110100=>52
[1,7,3,5,2,6,4,8]=>0111000=>56
[1,8,4,7,3,5,2,6]=>0111000=>56
[1,7,3,6,2,5,4,8]=>0111000=>56
[1,7,3,6,2,4,5,8]=>0110000=>48
[1,7,4,6,2,3,5,8]=>0101000=>40
[1,8,5,6,2,3,4,7]=>0100100=>36
[1,8,5,6,2,4,3,7]=>0110100=>52
[1,3,2,8,5,6,4,7]=>0101100=>44
[1,4,2,8,5,6,3,7]=>0110100=>52
[1,5,2,8,4,6,3,7]=>0111000=>56
[1,6,2,8,4,5,3,7]=>0111000=>56
[9,1,2,3,5,4,6,7,8]=>10010000=>144
[8,1,2,4,5,3,6,7]=>1010000=>80
[2,3,4,6,5,7,8,9,1]=>10001000=>136
[10,1,2,3,4,6,5,7,8,9]=>100010000=>272
[9,1,2,3,5,6,4,7,8]=>10010000=>144
[2,3,4,7,5,6,8,9,1]=>10001000=>136
[2,3,4,6,7,5,8,9,1]=>10001000=>136
[2,3,4,5,7,6,8,9,10,1]=>100001000=>264
[9,10,5,6,7,8,3,4,1,2]=>101010000=>336
[5,8,9,6,7,10,3,4,1,2]=>101001000=>328
[9,10,7,8,3,4,5,6,1,2]=>101000100=>324
[9,10,3,6,7,4,5,8,1,2]=>101100000=>352
[3,8,9,6,7,4,5,10,1,2]=>100101000=>296
[3,6,7,8,9,4,5,10,1,2]=>100100000=>288
[9,10,3,4,5,6,7,8,1,2]=>101000000=>320
[3,8,9,4,5,6,7,10,1,2]=>100100000=>288
[3,4,7,8,5,6,9,10,1,2]=>100010000=>272
[7,8,9,10,5,6,1,2,3,4]=>100010000=>272
[5,8,9,6,7,10,1,2,3,4]=>100001000=>264
[9,10,7,8,1,4,5,2,3,6]=>110000100=>388
[7,8,9,10,1,4,5,2,3,6]=>110000000=>384
[9,10,1,6,7,4,5,2,3,8]=>110100000=>416
[1,8,9,6,7,4,5,2,3,10]=>010101000=>168
[1,6,7,8,9,4,5,2,3,10]=>010100000=>160
[9,10,1,4,5,6,7,2,3,8]=>110000000=>384
[1,8,9,4,5,6,7,2,3,10]=>010100000=>160
[1,4,7,8,5,6,9,2,3,10]=>010010000=>144
[1,4,5,6,7,8,9,2,3,10]=>010000000=>128
[9,10,1,6,7,2,3,4,5,8]=>110000000=>384
[1,8,9,6,7,2,3,4,5,10]=>010001000=>136
[1,6,7,8,9,2,3,4,5,10]=>010000000=>128
[9,10,1,2,5,6,3,4,7,8]=>101000000=>320
[1,8,9,2,5,6,3,4,7,10]=>011000000=>192
[1,2,7,8,5,6,3,4,9,10]=>001010000=>80
[1,2,5,6,7,8,3,4,9,10]=>001000000=>64
[1,8,9,2,3,4,5,6,7,10]=>010000000=>128
[1,2,7,8,3,4,5,6,9,10]=>001000000=>64
[1,2,3,6,7,4,5,8,9,10]=>000100000=>32
[8,6,4,7,2,1,3,5]=>1101010=>106
[1,6,4,7,2,8,3,5]=>0111000=>56
[1,4,7,3,5,8,2,6]=>0110000=>48
[8,4,6,2,3,5,1,7]=>1101000=>104
[5,4,8,2,3,6,1,7]=>1101000=>104
[7,4,8,5,2,3,1,6]=>1101100=>108
[3,8,6,2,4,5,1,7]=>1100010=>98
[4,8,6,2,3,5,1,7]=>1100010=>98
[1,7,5,3,4,8,2,6]=>0110100=>52
[1,7,6,4,8,2,3,5]=>0101010=>42
[5,8,7,4,1,2,3,6]=>1001001=>73
[6,8,5,3,4,1,2,7]=>1010100=>84
[6,8,3,7,2,1,4,5]=>1110000=>112
[8,5,1,6,3,7,2,4]=>1110100=>116
[6,1,3,7,4,8,2,5]=>1101000=>104
[4,1,7,3,5,8,2,6]=>1110000=>112
[7,1,6,4,8,2,3,5]=>1101000=>104
[1,8,5,7,2,3,4,6]=>0100100=>36
[6,1,5,8,2,3,4,7]=>1100000=>96
[5,1,7,3,8,2,4,6]=>1110000=>112
[6,1,5,7,8,2,3,4]=>1100000=>96
[7,4,8,6,1,2,3,5]=>1001010=>74
[3,8,7,5,1,2,4,6]=>1000101=>69
[3,7,6,1,2,4,5,8]=>1000010=>66
[4,7,6,1,2,3,5,8]=>1000010=>66
[1,6,5,8,2,3,4,7]=>0100100=>36
[6,5,8,4,1,2,3,7]=>1001100=>76
[8,5,7,4,1,2,3,6]=>1001100=>76
[1,5,7,4,8,2,3,6]=>0101000=>40
[7,6,4,8,2,1,3,5]=>1101010=>106
[7,6,2,3,8,1,4,5]=>1100010=>98
[7,4,8,5,1,6,2,3]=>1101100=>108
[8,6,2,3,1,7,4,5]=>1101010=>106
[8,6,4,1,2,7,3,5]=>1011010=>90
[1,7,2,8,6,3,4,5]=>0110010=>50
[7,6,1,3,8,2,4,5]=>1100010=>98
[7,5,8,1,3,6,2,4]=>1100100=>100
[5,4,1,8,2,3,6,7]=>1101000=>104
[1,4,8,7,2,3,5,6]=>0100001=>33
[1,5,8,7,2,3,4,6]=>0100001=>33
[6,5,1,8,2,3,4,7]=>1100100=>100
[5,7,1,3,8,2,4,6]=>1100000=>96
[7,6,8,1,5,2,3,4]=>1100010=>98
[7,1,5,8,6,2,3,4]=>1100010=>98
[6,1,8,2,7,3,4,5]=>1110000=>112
[4,1,8,7,2,3,5,6]=>1100001=>97
[5,1,8,7,2,3,4,6]=>1100001=>97
[1,8,7,6,4,5,3,2]=>0111011=>59
[9,8,7,6,4,5,3,2,1,10]=>111101110=>494
[8,7,6,4,3,5,2,1,9]=>11110110=>246
[8,7,6,3,5,4,2,1,9]=>11110110=>246
[1,9,8,7,5,4,6,3,2]=>01111011=>123
[1,8,7,3,6,5,4,2]=>0111101=>61
[1,9,8,7,4,6,5,3,2]=>01111011=>123
[1,10,9,8,7,5,6,4,3,2]=>011110111=>247
[7,1,5,8,3,4,2,6]=>1110000=>112
[7,1,4,3,2,5,6,8]=>1110000=>112
[6,4,2,3,8,5,7,1]=>1101100=>108
[6,4,2,7,5,8,3,1]=>1111100=>124
[2,4,1,7,5,8,3,6]=>1010100=>84
[7,1,4,6,5,2,3,8]=>1100100=>100
[7,1,4,6,5,8,2,3]=>1100100=>100
[7,1,4,6,3,8,2,5]=>1110000=>112
[7,1,4,3,2,5,8,6]=>1110010=>114
[7,1,4,6,5,2,8,3]=>1110100=>116
[7,1,4,6,5,3,8,2]=>1110100=>116
[7,1,4,6,5,3,2,8]=>1110100=>116
[6,4,2,7,5,3,8,1]=>1111100=>124
[3,4,7,2,6,8,5,1]=>1100100=>100
[3,4,7,1,6,8,2,5]=>1100000=>96
[3,4,7,1,6,8,5,2]=>1100100=>100
[2,4,1,7,5,3,6,8]=>1010100=>84
[3,4,1,7,8,6,2,5]=>1100010=>98
[6,4,2,3,8,5,1,7]=>1101100=>108
[6,4,2,7,5,8,1,3]=>1101100=>108
[6,4,2,7,5,3,1,8]=>1111100=>124
[3,4,7,2,6,8,1,5]=>1100000=>96
[5,4,7,3,6,8,2,1]=>1111000=>120
[3,4,7,2,6,5,1,8]=>1100100=>100
[4,8,3,2,5,6,1,7]=>1110000=>112
[4,8,7,3,5,1,2,6]=>1010001=>81
[4,8,7,1,3,5,2,6]=>1100001=>97
[4,8,3,1,2,6,5,7]=>1010100=>84
[3,4,7,1,6,2,5,8]=>1100000=>96
[3,4,7,1,6,2,8,5]=>1100100=>100
[3,4,7,2,6,5,8,1]=>1100100=>100
[4,8,3,1,2,6,7,5]=>1010100=>84
[5,8,1,6,3,4,2,7]=>1110000=>112
[6,8,5,1,3,7,2,4]=>1100100=>100
[6,8,5,1,3,4,7,2]=>1100100=>100
[5,8,3,4,2,6,7,1]=>1110000=>112
[5,4,7,3,6,2,8,1]=>1111000=>120
[5,4,7,2,6,1,8,3]=>1111000=>120
[6,4,3,7,5,1,2,8]=>1011100=>92
[6,4,3,7,5,1,8,2]=>1111100=>124
[6,2,4,3,1,5,8,7]=>1110001=>113
[3,8,7,4,1,5,2,6]=>1101001=>105
[2,4,7,3,6,1,5,8]=>1010000=>80
[5,8,3,2,1,6,4,7]=>1111000=>120
[5,8,7,4,3,1,2,6]=>1011001=>89
[5,4,7,3,6,2,1,8]=>1111000=>120
[7,3,8,2,1,6,5,4]=>1111100=>124
[7,4,3,8,5,2,1,6]=>1111100=>124
[6,5,2,8,4,3,1,7]=>1111100=>124
[4,3,2,8,6,5,1,7]=>1110110=>118
[4,3,8,7,5,1,6,2]=>1110101=>117
[3,2,5,8,6,1,4,7]=>1100010=>98
[8,4,3,7,5,2,6,1]=>1111100=>124
[4,3,7,8,5,1,2,6]=>1010100=>84
[5,3,7,8,4,1,2,6]=>1011000=>88
[6,2,5,8,3,1,4,7]=>1110000=>112
[6,2,4,8,3,1,5,7]=>1110000=>112
[5,2,3,8,4,1,6,7]=>1101000=>104
[5,3,8,7,4,1,6,2]=>1111001=>121
[5,3,2,8,6,4,1,7]=>1111010=>122
[7,5,3,8,4,2,1,6]=>1111100=>124
[8,7,5,3,6,2,4,1]=>1110101=>117
[8,6,5,3,7,2,4,1]=>1110110=>118
[7,5,4,3,8,2,6,1]=>1111100=>124
[6,4,5,3,8,2,7,1]=>1111000=>120
[7,4,6,3,8,2,5,1]=>1111000=>120
[7,5,6,3,8,2,4,1]=>1110100=>116
[8,5,6,3,7,2,4,1]=>1110100=>116
[7,4,6,3,5,2,8,1]=>1111000=>120
[8,4,6,3,5,2,7,1]=>1111000=>120
[8,4,7,3,5,2,6,1]=>1111000=>120
[8,5,7,3,4,2,6,1]=>1110100=>116
[7,5,8,4,3,2,6,1]=>1111100=>124
[6,5,8,4,3,2,7,1]=>1111100=>124
[6,5,8,3,4,2,7,1]=>1110100=>116
[7,5,8,3,4,2,6,1]=>1110100=>116
[7,5,8,4,6,2,3,1]=>1101100=>108
[7,4,8,3,6,2,5,1]=>1111000=>120
[7,4,8,3,5,2,6,1]=>1111000=>120
[6,4,8,3,5,2,7,1]=>1111000=>120
[6,4,7,3,5,2,8,1]=>1111000=>120
[5,4,8,3,7,2,6,1]=>1111000=>120
[6,5,8,3,7,2,4,1]=>1110100=>116
[6,5,8,4,7,2,3,1]=>1101100=>108
[6,5,8,4,7,3,2,1]=>1111100=>124
[6,4,7,3,8,2,5,1]=>1111000=>120
[5,4,7,3,8,2,6,1]=>1111000=>120
[5,4,6,3,8,2,7,1]=>1111000=>120
[5,3,6,2,4,7,8,1]=>1110000=>112
[5,3,6,1,4,8,7,2]=>1110001=>113
[5,3,7,2,4,6,8,1]=>1110000=>112
[4,3,1,5,6,8,7,2]=>1110001=>113
[4,2,1,5,8,6,3,7]=>1110010=>114
[4,2,1,5,8,6,7,3]=>1110010=>114
[4,2,1,5,8,7,6,3]=>1110011=>115
[4,3,1,5,7,8,6,2]=>1110010=>114
[4,3,1,7,5,8,6,2]=>1110110=>118
[6,7,3,1,4,8,2,5]=>1110000=>112
[5,3,7,1,4,8,2,6]=>1110000=>112
[4,3,1,5,7,8,2,6]=>1110000=>112
[3,2,1,8,5,4,6,7]=>1101100=>108
[3,2,1,8,5,7,4,6]=>1101100=>108
[3,2,1,8,7,5,4,6]=>1101101=>109
[5,2,7,1,8,4,3,6]=>1111000=>120
[6,7,2,1,8,4,3,5]=>1111000=>120
[6,7,2,1,8,4,5,3]=>1111000=>120
[3,2,1,8,5,6,4,7]=>1101100=>108
[3,2,1,8,6,5,4,7]=>1101110=>110
[4,3,1,6,7,8,5,2]=>1110100=>116
[4,2,1,6,8,7,5,3]=>1110101=>117
[4,2,1,6,8,5,7,3]=>1110100=>116
[4,2,1,6,8,5,3,7]=>1110100=>116
[5,2,6,1,8,4,3,7]=>1111000=>120
[5,2,6,1,8,7,4,3]=>1111001=>121
[5,2,6,1,8,7,3,4]=>1110001=>113
[5,2,6,1,8,3,4,7]=>1110000=>112
[4,2,1,6,8,3,7,5]=>1110100=>116
[4,3,1,6,7,8,2,5]=>1110000=>112
[6,7,3,1,5,8,2,4]=>1110000=>112
[4,2,1,7,8,6,3,5]=>1110010=>114
[3,2,1,8,7,6,4,5]=>1101011=>107
[3,2,1,8,6,4,7,5]=>1101110=>110
[3,2,1,8,6,4,5,7]=>1101010=>106
[3,2,1,8,4,6,5,7]=>1101100=>108
[3,2,1,8,4,6,7,5]=>1101100=>108
[3,2,1,8,4,7,6,5]=>1101110=>110
[3,2,1,8,7,4,6,5]=>1101101=>109
[4,2,1,7,8,3,6,5]=>1110100=>116
[5,2,7,1,8,3,6,4]=>1111000=>120
[6,7,2,1,8,3,5,4]=>1111000=>120
[5,2,7,1,8,3,4,6]=>1110000=>112
[4,2,1,7,8,3,5,6]=>1110000=>112
[3,2,1,8,4,5,7,6]=>1101010=>106
[7,5,2,8,6,3,4,1]=>1110110=>118
[7,4,8,6,2,5,3,1]=>1111010=>122
[7,3,8,6,2,4,5,1]=>1110010=>114
[7,4,3,1,8,2,5,6]=>1111000=>120
[7,4,2,8,5,6,1,3]=>1101100=>108
[7,3,8,5,2,4,6,1]=>1110100=>116
[7,3,8,4,5,6,2,1]=>1111000=>120
[6,3,8,2,4,5,1,7]=>1110000=>112
[6,3,8,2,5,7,4,1]=>1111000=>120
[6,4,3,8,1,5,2,7]=>1111000=>120
[6,3,7,8,2,4,1,5]=>1110000=>112
[5,6,7,3,8,2,4,1]=>1110000=>112
[5,4,7,2,6,8,1,3]=>1101000=>104
[5,3,8,2,4,6,7,1]=>1110000=>112
[6,3,8,2,4,7,5,1]=>1110100=>116
[5,7,4,2,6,8,1,3]=>1101000=>104
[6,4,8,2,7,5,1,3]=>1101100=>108
[6,5,3,1,4,2,7,8]=>1110100=>116
[5,7,4,2,6,1,3,8]=>1101000=>104
[5,6,4,2,3,8,1,7]=>1101000=>104
[5,6,3,7,8,2,4,1]=>1110000=>112
[5,6,3,8,2,4,7,1]=>1110000=>112
[6,3,7,2,4,5,1,8]=>1110000=>112
[6,3,7,2,5,8,4,1]=>1111000=>120
[5,3,6,8,2,4,7,1]=>1110000=>112
[5,4,6,2,3,8,1,7]=>1101000=>104
[5,3,6,7,8,2,4,1]=>1110000=>112
[3,6,4,2,1,5,8,7]=>1101001=>105
[3,5,8,6,4,2,1,7]=>1101010=>106
[5,8,6,3,4,2,1,7]=>1110010=>114
[5,6,3,4,2,1,8,7]=>1110001=>113
[6,3,4,2,1,5,8,7]=>1110001=>113
[5,6,4,2,1,3,8,7]=>1101001=>105
[2,5,4,1,7,8,6,3]=>1011010=>90
[2,7,8,5,4,1,6,3]=>1011100=>92
[2,8,5,4,1,6,3,7]=>1011100=>92
[2,6,3,8,5,4,1,7]=>1011100=>92
[2,8,6,3,5,4,1,7]=>1011010=>90
[5,8,6,4,2,1,3,7]=>1101010=>106
[4,2,1,5,7,8,6,3]=>1110010=>114
[2,7,8,6,3,5,4,1]=>1011010=>90
[4,3,8,5,7,6,2,1]=>1110110=>118
[7,6,2,1,8,4,3,5]=>1111010=>122
[2,1,8,5,6,4,3,7]=>1011100=>92
[4,2,1,8,5,6,3,7]=>1110100=>116
[8,4,2,1,5,6,3,7]=>1111000=>120
[2,5,6,3,8,4,1,7]=>1011000=>88
[6,3,4,2,1,8,5,7]=>1110100=>116
[3,7,8,5,6,4,2,1]=>1101100=>108
[3,8,5,6,4,2,1,7]=>1101100=>108
[3,6,4,2,1,8,5,7]=>1101100=>108
[3,8,6,4,2,1,5,7]=>1101010=>106
[3,7,8,6,4,2,1,5]=>1101010=>106
[8,5,3,7,6,2,4,1]=>1110110=>118
[7,6,2,4,1,8,5,3]=>1110110=>118
[8,5,4,1,7,6,2,3]=>1101110=>110
[7,6,2,3,8,5,4,1]=>1101110=>110
[2,1,7,8,6,4,3,5]=>1011010=>90
[2,1,6,4,3,7,8,5]=>1011100=>92
[6,4,2,1,3,7,8,5]=>1101100=>108
[6,3,7,8,4,2,1,5]=>1111000=>120
[7,8,4,2,1,6,3,5]=>1111000=>120
[5,7,6,2,3,8,4,1]=>1101010=>106
[2,6,1,8,4,3,7,5]=>1011100=>92
[2,6,1,7,5,8,4,3]=>1011100=>92
[8,4,2,3,7,5,6,1]=>1101100=>108
[8,5,7,6,2,1,4,3]=>1110110=>118
[4,8,5,7,6,2,1,3]=>1100110=>102
[4,7,6,2,1,3,8,5]=>1100110=>102
[7,5,6,1,8,4,2,3]=>1101100=>108
[2,7,5,8,4,3,6,1]=>1011100=>92
[2,8,4,3,6,1,7,5]=>1011100=>92
[6,4,7,8,3,2,1,5]=>1111000=>120
[7,6,5,8,4,3,2,1,9]=>11111100=>252
[7,6,5,4,9,3,2,1,8]=>11111100=>252
[7,6,5,4,3,8,2,1,9]=>11111100=>252
[7,6,5,4,3,2,8,1,9]=>11111100=>252
[6,9,8,5,4,3,2,1,7]=>11111001=>249
[8,7,9,6,5,4,3,2,1,10]=>111111100=>508
[7,5,8,9,4,3,2,1,6]=>11111000=>248
[8,7,6,9,5,4,3,2,1,10]=>111111100=>508
[6,4,3,7,5,2,1,8]=>1111100=>124
[7,6,4,8,9,3,2,1,5]=>11110100=>244
[8,7,6,5,10,4,3,2,1,9]=>111111100=>508
[6,5,3,2,8,4,1,7]=>1111100=>124
[7,6,5,3,9,8,2,1,4]=>11101101=>237
[8,7,6,5,4,9,3,2,1,10]=>111111100=>508
[6,5,2,7,8,4,1,3]=>1101100=>108
[7,6,5,4,2,8,9,1,3]=>11011100=>220
[8,7,6,5,4,3,9,2,1,10]=>111111100=>508
[7,6,5,4,3,1,8,9,2]=>11111100=>252
[7,10,9,6,5,4,3,2,1,8]=>111111001=>505
[6,5,8,7,4,3,2,1,9]=>11111010=>250
[8,6,9,10,5,4,3,2,1,7]=>111111000=>504
[7,5,4,8,6,3,2,1,9]=>11111100=>252
[5,9,8,7,4,3,2,1,6]=>11110011=>243
[8,7,5,9,10,4,3,2,1,6]=>111110100=>500
[6,4,3,2,5,8,1,7]=>1111000=>120
[7,6,4,3,9,5,2,1,8]=>11111100=>252
[7,4,8,9,6,3,2,1,5]=>11110100=>244
[8,7,6,4,10,9,3,2,1,5]=>111101101=>493
[6,3,7,2,5,4,1,8]=>1111000=>120
[7,6,5,3,2,8,4,1,9]=>11111100=>252
[7,6,3,8,9,5,2,1,4]=>11101100=>236
[8,7,6,5,3,9,10,2,1,4]=>111011100=>476
[7,6,5,4,2,1,8,3,9]=>11111100=>252
[6,3,2,7,5,4,1,8]=>1111100=>124
[7,6,5,2,9,8,4,1,3]=>11011101=>221
[8,7,6,5,4,2,9,10,1,3]=>110111100=>444
[7,6,5,4,1,8,9,3,2]=>11111100=>252
[8,7,6,5,4,3,1,10,9,2]=>111111101=>509
[8,4,2,6,3,1,7,5]=>1111100=>124
[1,5,3,7,4,2,8,6]=>0111010=>58
[1,6,7,3,4,2,8,5]=>0110100=>52
[8,6,5,2,3,1,7,4]=>1101110=>110
[1,7,6,3,4,2,8,5]=>0110110=>54
[1,8,6,3,2,5,7,4]=>0111010=>58
[8,7,5,2,1,4,6,3]=>1110101=>117
[7,8,5,2,1,4,6,3]=>1110100=>116
[6,8,5,2,3,1,7,4]=>1101100=>108
[5,8,6,2,3,1,7,4]=>1101010=>106
[4,8,2,6,3,1,7,5]=>1110100=>116
[3,2,8,6,4,1,7,5]=>1101110=>110
[3,2,1,7,5,4,8,6]=>1101110=>110
[4,1,3,7,5,2,8,6]=>1100110=>102
[5,1,7,3,4,2,8,6]=>1110010=>114
[7,1,6,3,2,5,8,4]=>1111000=>120
[1,2,7,4,3,6,8,5]=>0011100=>28
[6,1,8,2,4,5,7,3]=>1110000=>112
[5,1,8,3,2,6,7,4]=>1111000=>120
[3,2,8,7,1,5,6,4]=>1101001=>105
[4,8,2,7,1,5,6,3]=>1110000=>112
[5,8,7,2,1,4,6,3]=>1110001=>113
[6,8,7,1,3,4,5,2]=>1100001=>97
[7,8,6,1,3,4,5,2]=>1100010=>98
[1,7,8,2,4,5,6,3]=>0110000=>48
[8,6,7,1,3,4,5,2]=>1100010=>98
[7,6,8,1,3,4,5,2]=>1100010=>98
[6,5,8,2,3,1,7,4]=>1101100=>108
[1,6,8,3,2,5,7,4]=>0111000=>56
[1,5,3,8,2,6,7,4]=>0111000=>56
[8,4,2,7,1,5,6,3]=>1111000=>120
[7,4,2,8,1,5,6,3]=>1111000=>120
[6,4,2,8,3,1,7,5]=>1111100=>124
[5,4,2,3,8,1,7,6]=>1101010=>106
[4,5,2,3,1,6,8,7]=>1100001=>97
[7,4,2,1,3,6,8,5]=>1101100=>108
[8,4,2,1,3,6,7,5]=>1101100=>108
[1,5,3,2,4,7,8,6]=>0110010=>50
[8,5,1,3,2,6,7,4]=>1101100=>108
[5,6,1,3,4,2,8,7]=>1100001=>97
[4,6,2,1,5,3,8,7]=>1110001=>113
[4,7,2,1,3,6,8,5]=>1100100=>100
[5,7,1,3,2,6,8,4]=>1101000=>104
[6,7,1,2,4,5,8,3]=>1010000=>80
[8,6,1,2,4,5,7,3]=>1010010=>82
[1,8,2,3,5,6,7,4]=>0101000=>40
[8,7,1,2,4,5,6,3]=>1010001=>81
[7,8,1,2,4,5,6,3]=>1010000=>80
[5,8,1,3,2,6,7,4]=>1101000=>104
[4,8,2,1,3,6,7,5]=>1100100=>100
[4,1,3,2,5,7,8,6]=>1100010=>98
[5,1,2,4,3,7,8,6]=>1010010=>82
[5,4,8,1,2,3,7,6]=>1001010=>74
[1,4,7,6,3,2,5,8]=>0110010=>50
[4,8,3,2,7,6,1,5]=>1110010=>114
[4,3,8,2,7,1,6,5]=>1110100=>116
[1,4,7,3,6,2,5,8]=>0110000=>48
[4,3,2,8,1,7,6,5]=>1110110=>118
[4,1,8,3,7,2,5,6]=>1110000=>112
[4,1,8,7,3,2,5,6]=>1110001=>113
[4,7,8,1,2,5,3,6]=>1010000=>80
[3,4,7,6,2,1,8,5]=>1100110=>102
[3,4,2,7,1,6,8,5]=>1100100=>100
[2,3,6,7,4,1,8,5]=>1001100=>76
[2,6,3,4,7,8,1,5]=>1010000=>80
[2,6,7,8,3,4,1,5]=>1010000=>80
[3,1,7,8,4,2,5,6]=>1101000=>104
[4,1,3,2,8,7,5,6]=>1100101=>101
[3,7,8,2,6,4,1,5]=>1101000=>104
[4,2,3,8,1,6,7,5]=>1100100=>100
[4,3,1,8,2,5,7,6]=>1110010=>114
[1,3,6,7,4,2,5,8]=>0101000=>40
[3,2,7,8,4,1,6,5]=>1101100=>108
[4,2,8,6,3,1,7,5]=>1110110=>118
[3,7,2,4,8,6,1,5]=>1100010=>98
[3,2,7,4,8,1,6,5]=>1101100=>108
[1,3,6,4,7,2,5,8]=>0101000=>40
[3,2,4,7,1,8,6,5]=>1100110=>102
[3,7,4,2,6,8,1,5]=>1101000=>104
[3,7,4,6,2,8,1,5]=>1101000=>104
[4,7,1,5,8,2,3,6]=>1100000=>96
[3,7,6,4,8,2,1,5]=>1101010=>106
[3,1,7,4,8,2,5,6]=>1101000=>104
[2,6,7,3,8,4,1,5]=>1011000=>88
[2,3,6,4,7,1,8,5]=>1001100=>76
[8,7,5,2,6,3,4,1]=>1110101=>117
[8,6,5,2,7,3,4,1]=>1110110=>118
[7,4,8,5,6,3,2,1]=>1111100=>124
[3,4,6,7,8,5,1,2]=>1000100=>68
[1,2,6,4,7,5,8,3]=>0011100=>28
[3,1,7,5,4,2,6,8]=>1101100=>108
[6,3,8,5,4,7,1,2]=>1011100=>92
[1,6,2,5,4,7,8,3]=>0111000=>56
[1,8,2,5,6,3,7,4]=>0111000=>56
[1,2,6,4,8,5,7,3]=>0011100=>28
[7,8,3,1,4,2,5,6]=>1110000=>112
[4,8,1,5,2,3,6,7]=>1100000=>96
[7,4,1,5,2,3,6,8]=>1101000=>104
[5,6,1,8,4,3,2,7]=>1111000=>120
[5,1,8,6,4,3,2,7]=>1111010=>122
[5,1,6,3,8,7,2,4]=>1110001=>113
[6,1,2,5,8,3,7,4]=>1011000=>88
[6,1,8,7,4,3,2,5]=>1111001=>121
[7,1,2,5,4,8,6,3]=>1011010=>90
[1,2,7,5,8,3,6,4]=>0011100=>28
[4,1,6,3,7,5,2,8]=>1110100=>116
[1,3,6,7,8,5,2,4]=>0100100=>36
[1,2,6,4,7,8,5,3]=>0011100=>28
[4,1,6,3,7,8,2,5]=>1110000=>112
[3,1,6,4,8,2,7,5]=>1101100=>108
[7,8,4,1,6,3,2,5]=>1111000=>120
[4,1,6,3,8,7,2,5]=>1110001=>113
[7,5,1,8,4,3,2,6]=>1111100=>124
[6,5,1,7,4,3,2,8]=>1111100=>124
[4,1,8,5,2,3,7,6]=>1100110=>102
[4,1,6,8,3,7,2,5]=>1110000=>112
[5,4,6,1,3,8,2,7]=>1101000=>104
[6,5,8,1,4,3,2,7]=>1110100=>116
[1,3,5,7,6,8,2,4]=>0100010=>34
[1,3,5,7,6,2,8,4]=>0101010=>42
[1,3,5,7,2,6,8,4]=>0101000=>40
[1,3,5,2,7,6,4,8]=>0101010=>42
[1,3,5,7,6,2,4,8]=>0100010=>34
[1,3,5,7,4,6,8,2]=>0101000=>40
[1,3,5,7,4,6,2,8]=>0101000=>40
[1,3,5,7,4,2,6,8]=>0101000=>40
[1,3,5,4,7,2,6,8]=>0101000=>40
[1,3,5,4,7,8,2,6]=>0101000=>40
[1,3,5,4,7,2,8,6]=>0101010=>42
[1,3,5,7,4,2,8,6]=>0101010=>42
[1,3,5,7,4,8,2,6]=>0101000=>40
[1,3,5,7,4,8,6,2]=>0101010=>42
[1,3,5,7,8,4,6,2]=>0101000=>40
[1,3,5,7,8,4,2,6]=>0101000=>40
[1,3,5,2,7,8,6,4]=>0101010=>42
[1,3,5,7,2,8,6,4]=>0101010=>42
[1,3,5,7,8,2,6,4]=>0101000=>40
[1,6,3,2,7,4,8,5]=>0111100=>60
[3,5,1,6,2,8,7,4]=>1101001=>105
[1,3,7,2,5,4,8,6]=>0101010=>42
[2,6,1,7,4,3,8,5]=>1011100=>92
[1,4,7,3,5,2,8,6]=>0110010=>50
[1,3,7,5,2,4,8,6]=>0100110=>38
[2,5,7,4,3,8,1,6]=>1011000=>88
[2,5,3,7,4,8,1,6]=>1011000=>88
[1,4,7,2,3,8,6,5]=>0100110=>38
[2,4,7,3,1,8,6,5]=>1010110=>86
[1,4,6,3,8,2,7,5]=>0110100=>52
[1,3,5,2,8,7,6,4]=>0101011=>43
[1,4,7,3,8,2,6,5]=>0110100=>52
[2,5,1,7,8,4,6,3]=>1011000=>88
[3,2,6,7,8,1,5,4]=>1101000=>104
[4,3,6,7,8,2,1,5]=>1110000=>112
[3,5,2,7,8,4,1,6]=>1101000=>104
[1,5,7,4,8,3,2,6]=>0111000=>56
[2,5,1,6,8,4,7,3]=>1011000=>88
[4,6,2,1,7,8,3,5]=>1110000=>112
[5,3,6,4,7,8,2,1]=>1111000=>120
[3,5,2,6,8,4,7,1]=>1101000=>104
[2,5,4,6,8,7,1,3]=>1001001=>73
[1,3,6,2,8,7,5,4]=>0101101=>45
[1,4,6,3,8,7,2,5]=>0110001=>49
[2,5,7,4,3,8,6,1]=>1011010=>90
[1,5,7,2,4,8,6,3]=>0110010=>50
[4,6,3,7,2,8,5,1]=>1110100=>116
[4,3,6,7,8,2,5,1]=>1110000=>112
[1,4,7,3,8,6,2,5]=>0110010=>50
[2,5,4,7,8,6,1,3]=>1001010=>74
[3,2,6,7,8,5,1,4]=>1100100=>100
[1,3,7,2,8,6,5,4]=>0101110=>46
[5,1,6,8,2,4,3,7]=>1110000=>112
[5,3,7,8,2,4,1,6]=>1110000=>112
[8,5,3,7,2,4,1,6]=>1110100=>116
[8,2,4,7,3,1,5,6]=>1110000=>112
[2,4,7,8,3,1,5,6]=>1010000=>80
[6,3,1,5,8,2,4,7]=>1110000=>112
[6,5,3,4,2,8,1,7]=>1110100=>116
[5,2,4,3,8,1,6,7]=>1110000=>112
[3,2,4,8,1,5,6,7]=>1100000=>96
[3,2,4,6,8,1,5,7]=>1100000=>96
[8,1,5,7,3,2,4,6]=>1110000=>112
[8,4,6,7,2,3,1,5]=>1101000=>104
[4,6,7,8,2,3,1,5]=>1100000=>96
[7,4,6,8,2,3,1,5]=>1101000=>104
[7,2,4,8,3,1,5,6]=>1110000=>112
[5,3,8,7,2,4,1,6]=>1110001=>113
[2,4,8,7,3,1,5,6]=>1010001=>81
[4,6,8,7,2,3,1,5]=>1100001=>97
[8,7,4,6,2,3,1,5]=>1101001=>105
[5,6,8,7,2,3,1,4]=>1100001=>97
[6,4,8,7,2,3,1,5]=>1101001=>105
[3,1,7,4,2,8,6,5]=>1101110=>110
[3,2,8,4,1,7,6,5]=>1101110=>110
[7,6,4,8,2,3,1,5]=>1101010=>106
[5,7,6,8,2,3,1,4]=>1100010=>98
[4,7,6,8,2,3,1,5]=>1100010=>98
[8,6,4,7,2,3,1,5]=>1101010=>106
[8,2,3,7,4,1,6,5]=>1101100=>108
[2,3,7,8,4,1,6,5]=>1001100=>76
[3,7,4,8,2,5,1,6]=>1101000=>104
[2,3,7,4,1,6,8,5]=>1001100=>76
[8,1,6,4,2,3,7,5]=>1101100=>108
[4,7,8,6,2,3,1,5]=>1100010=>98
[2,4,7,3,1,5,8,6]=>1010010=>82
[6,3,1,7,4,2,8,5]=>1111100=>124
[8,5,7,6,2,3,1,4]=>1100110=>102
[7,5,8,6,2,3,1,4]=>1100110=>102
[7,1,6,4,2,3,8,5]=>1101100=>108
[3,1,7,6,4,2,8,5]=>1101110=>110
[4,8,7,6,2,3,1,5]=>1100011=>99
[6,8,7,5,2,3,1,4]=>1100101=>101
[4,3,6,1,5,8,7,2]=>1110001=>113
[4,3,6,5,1,8,7,2]=>1110101=>117
[4,6,3,5,1,8,7,2]=>1110001=>113
[4,6,3,1,5,8,7,2]=>1110001=>113
[4,1,6,5,3,8,7,2]=>1110101=>117
[4,6,1,5,3,8,7,2]=>1110001=>113
[2,6,5,3,1,8,7,4]=>1011101=>93
[2,6,5,1,8,7,3,4]=>1010101=>85
[2,6,5,8,1,7,3,4]=>1010100=>84
[2,6,5,8,1,3,7,4]=>1001100=>76
[2,6,5,8,3,1,7,4]=>1011100=>92
[2,6,5,3,8,1,7,4]=>1011100=>92
[4,6,1,5,8,3,7,2]=>1110000=>112
[4,1,6,5,8,3,7,2]=>1110100=>116
[1,4,6,5,8,3,7,2]=>0110100=>52
[4,1,6,5,8,7,3,2]=>1110101=>117
[2,6,5,3,8,7,1,4]=>1010101=>85
[6,4,3,8,7,1,5,2]=>1111001=>121
[6,4,8,3,7,1,5,2]=>1111000=>120
[2,6,8,5,3,7,1,4]=>1010100=>84
[4,6,8,1,5,7,3,2]=>1110000=>112
[4,6,1,8,5,7,3,2]=>1110100=>116
[4,1,6,8,5,7,3,2]=>1110100=>116
[1,4,6,8,5,7,3,2]=>0110100=>52
[1,4,6,8,5,3,7,2]=>0110100=>52
[4,6,1,8,5,3,7,2]=>1110100=>116
[2,6,8,5,3,1,7,4]=>1011100=>92
[2,6,8,5,1,7,3,4]=>1010100=>84
[4,6,8,3,5,1,7,2]=>1110000=>112
[4,6,8,3,1,5,7,2]=>1110000=>112
[4,6,3,1,8,5,7,2]=>1110100=>116
[4,6,3,8,1,5,7,2]=>1110000=>112
[4,6,3,8,5,7,1,2]=>1010100=>84
[4,3,6,8,1,5,7,2]=>1110000=>112
[4,3,6,1,8,5,7,2]=>1110100=>116
[4,3,1,6,8,5,7,2]=>1110100=>116
[4,1,3,6,8,7,5,2]=>1100101=>101
[4,3,6,1,8,7,5,2]=>1110101=>117
[4,3,6,8,1,7,5,2]=>1110100=>116
[6,5,2,8,7,3,1,4]=>1110101=>117
[6,5,2,8,7,1,3,4]=>1100101=>101
[6,2,5,8,7,1,3,4]=>1100001=>97
[6,2,5,8,7,3,1,4]=>1110001=>113
[4,6,3,8,1,7,5,2]=>1110100=>116
[4,6,3,1,8,7,5,2]=>1110101=>117
[4,1,6,3,8,7,5,2]=>1110101=>117
[1,4,6,3,8,7,5,2]=>0110101=>53
[4,1,6,8,3,7,5,2]=>1110100=>116
[4,6,1,8,3,7,5,2]=>1110100=>116
[4,6,8,1,3,7,5,2]=>1100100=>100
[6,2,8,5,7,3,1,4]=>1110100=>116
[6,2,8,5,7,1,3,4]=>1100100=>100
[2,4,8,7,1,5,3,6]=>1010001=>81
[4,2,8,7,5,3,1,6]=>1110101=>117
[6,4,1,8,7,5,3,2]=>1111101=>125
[6,1,4,8,7,5,3,2]=>1110101=>117
[1,6,4,8,7,3,5,2]=>0111001=>57
[6,4,1,8,7,3,5,2]=>1111001=>121
[4,2,8,7,5,1,3,6]=>1100101=>101
[2,4,8,7,3,5,1,6]=>1010001=>81
[2,3,4,5,6,8,9,7,1]=>10000010=>130
[2,3,4,7,1,8,6,5]=>1000110=>70
[2,3,4,5,7,8,9,6,1]=>10000100=>132
[2,3,5,6,7,8,9,4,1]=>10010000=>144
[2,4,5,6,7,8,9,3,1]=>10100000=>160
[2,3,4,5,6,7,9,10,8,1]=>100000010=>258
[2,3,4,7,8,5,6,1]=>1000100=>68
[2,3,4,5,8,1,9,7,6]=>10000110=>134
[2,3,4,5,6,8,9,10,7,1]=>100000100=>260
[2,3,6,7,4,8,5,1]=>1001100=>76
[2,3,4,7,1,8,9,6,5]=>10001100=>140
[2,5,6,3,7,8,1,4]=>1010000=>80
[2,3,7,1,4,8,6,5]=>1000110=>70
[2,3,6,1,7,8,9,4,5]=>10010000=>144
[2,3,4,6,7,8,9,10,5,1]=>100010000=>272
[2,6,1,3,7,8,5,4]=>1001100=>76
[2,5,1,6,7,8,9,4,3]=>10110000=>176
[2,3,5,6,7,8,9,10,4,1]=>100100000=>288
[4,1,5,6,7,8,9,3,2]=>11100000=>224
[2,3,4,5,6,7,10,1,8,9]=>100000000=>256
[2,3,4,5,8,9,6,7,1]=>10000100=>132
[2,3,4,5,6,9,1,10,8,7]=>100000110=>262
[2,3,4,7,8,5,9,6,1]=>10001100=>140
[2,3,4,5,8,1,9,10,7,6]=>100001100=>268
[2,5,6,7,4,8,1,3]=>1001000=>72
[2,3,6,7,4,8,9,1,5]=>10010000=>144
[2,3,4,8,1,5,9,7,6]=>10000110=>134
[2,3,4,7,1,8,9,10,5,6]=>100010000=>272
[2,5,6,3,7,8,9,4,1]=>10110000=>176
[2,3,7,8,4,5,6,1]=>1001000=>72
[2,3,7,1,4,8,9,6,5]=>10001100=>140
[2,3,6,1,7,8,9,10,5,4]=>100110000=>304
[4,5,2,6,7,8,9,3,1]=>11100000=>224
[2,6,7,3,4,8,5,1]=>1010100=>84
[2,6,1,3,7,8,9,4,5]=>10010000=>144
[2,5,1,6,7,8,9,10,4,3]=>101100000=>352
[5,1,2,6,7,8,9,4,3]=>10110000=>176
[4,1,5,6,7,8,9,10,2,3]=>110000000=>384
[1,5,3,2,6,4,7,8]=>0111000=>56
[1,5,3,2,6,7,4,8]=>0111000=>56
[1,7,3,2,8,5,4,6]=>0111100=>60
[1,7,3,2,5,8,4,6]=>0111000=>56
[1,3,2,7,5,4,8,6]=>0101110=>46
[6,5,2,4,3,7,1,8]=>1110100=>116
[6,4,2,5,3,7,1,8]=>1111000=>120
[5,4,7,6,2,3,1,8]=>1101010=>106
[3,6,4,8,2,1,5,7]=>1101000=>104
[1,6,2,8,5,3,4,7]=>0110100=>52
[4,6,2,3,7,5,1,8]=>1100100=>100
[4,7,2,3,6,5,1,8]=>1100100=>100
[4,7,2,3,5,6,1,8]=>1100000=>96
[5,3,2,7,4,6,1,8]=>1111000=>120
[5,3,2,6,4,7,1,8]=>1111000=>120
[4,6,2,3,5,7,1,8]=>1100000=>96
[3,5,2,1,6,8,4,7]=>1101000=>104
[1,5,2,6,8,4,3,7]=>0111000=>56
[1,5,7,2,8,4,3,6]=>0111000=>56
[3,5,2,1,8,6,4,7]=>1101010=>106
[3,6,8,4,2,1,5,7]=>1101000=>104
[4,3,2,6,1,8,5,7]=>1110100=>116
[1,5,8,2,7,4,3,6]=>0111000=>56
[1,7,2,3,4,8,6,5]=>0100110=>38
[6,8,2,3,4,1,7,5]=>1100100=>100
[4,1,8,2,3,5,7,6]=>1100010=>98
[2,3,1,8,4,5,7,6]=>1001010=>74
[7,3,2,1,4,5,8,6]=>1110010=>114
[7,8,1,4,3,5,2,6]=>1110000=>112
[7,1,2,3,4,6,8,5]=>1000100=>68
[6,1,2,3,4,8,7,5]=>1000101=>69
[1,8,2,3,4,7,6,5]=>0100110=>38
[8,1,2,3,4,6,7,5]=>1000100=>68
[2,8,1,3,5,4,7,6]=>1001010=>74
[8,7,1,4,3,5,2,6]=>1110001=>113
[8,3,2,1,4,5,7,6]=>1110010=>114
[3,8,2,1,5,6,4,7]=>1101000=>104
[3,8,2,1,6,5,4,7]=>1101100=>108
[1,7,8,3,5,4,2,6]=>0111000=>56
[7,4,1,8,3,5,2,6]=>1111000=>120
[8,4,1,7,3,5,2,6]=>1111000=>120
[3,8,4,6,2,1,5,7]=>1101000=>104
[8,4,2,5,3,1,6,7]=>1111000=>120
[8,5,2,4,3,1,6,7]=>1110100=>116
[8,3,2,5,4,1,6,7]=>1111000=>120
[4,3,2,5,1,8,6,7]=>1110010=>114
[3,5,2,4,1,8,6,7]=>1100010=>98
[2,4,7,8,1,5,3,6]=>1010000=>80
[1,8,7,3,5,4,2,6]=>0111001=>57
[5,1,8,2,7,4,3,6]=>1111000=>120
[5,1,7,2,8,4,3,6]=>1111000=>120
[6,1,2,8,5,3,4,7]=>1010100=>84
[6,3,2,1,8,4,5,7]=>1111000=>120
[7,3,2,8,4,5,1,6]=>1111000=>120
[2,7,8,4,3,5,1,6]=>1011000=>88
[7,1,8,3,5,4,2,6]=>1111000=>120
[7,8,2,3,4,6,1,5]=>1100000=>96
[6,7,1,3,4,8,2,5]=>1100000=>96
[6,8,1,3,4,7,2,5]=>1100000=>96
[1,7,2,3,4,6,8,5]=>0100100=>36
[1,6,2,3,4,8,7,5]=>0100101=>37
[7,6,2,3,4,1,8,5]=>1100110=>102
[8,6,2,3,4,1,7,5]=>1100110=>102
[8,1,7,3,5,4,2,6]=>1111000=>120
[8,3,2,7,4,5,1,6]=>1111000=>120
[6,7,2,3,4,1,8,5]=>1100100=>100
[7,6,2,3,4,8,1,5]=>1100010=>98
[8,6,2,3,4,7,1,5]=>1100010=>98
[6,3,4,8,7,5,1,2]=>1010101=>85
[4,8,7,3,5,6,1,2]=>1010001=>81
[4,8,7,5,3,6,1,2]=>1010101=>85
[5,8,7,3,4,6,1,2]=>1010001=>81
[5,8,4,2,1,6,7,3]=>1111000=>120
[5,8,4,1,2,6,7,3]=>1011000=>88
[5,3,7,2,6,1,8,4]=>1111000=>120
[5,2,8,1,6,3,7,4]=>1111000=>120
[5,8,2,1,4,7,6,3]=>1110010=>114
[4,8,2,5,1,7,6,3]=>1110010=>114
[7,8,4,1,2,6,5,3]=>1011100=>92
[4,8,1,5,2,7,6,3]=>1110010=>114
[5,8,1,2,4,7,6,3]=>1010010=>82
[5,2,8,3,6,7,1,4]=>1110000=>112
[3,8,7,6,2,4,1,5]=>1100011=>99
[2,8,7,6,4,1,3,5]=>1001011=>75
[7,8,2,6,5,1,3,4]=>1100100=>100
[1,8,7,6,4,2,3,5]=>0101011=>43
[2,8,7,6,3,1,4,5]=>1010011=>83
[1,8,7,6,2,4,3,5]=>0110011=>51
[1,8,7,6,3,4,2,5]=>0110011=>51
[2,8,1,4,5,6,7,3]=>1010000=>80
[2,1,7,3,6,5,8,4]=>1011100=>92
[3,1,7,2,6,5,8,4]=>1101100=>108
[3,2,7,1,6,5,8,4]=>1101100=>108
[6,1,2,8,5,7,3,4]=>1010100=>84
[6,2,1,8,5,7,3,4]=>1110100=>116
[6,3,1,8,5,7,2,4]=>1110100=>116
[6,4,2,1,7,5,8,3]=>1111100=>124
[6,1,3,8,5,2,7,4]=>1101100=>108
[2,3,7,1,6,8,5,4]=>1001100=>76
[1,3,7,2,6,8,5,4]=>0101100=>44
[7,8,2,6,5,3,1,4]=>1110100=>116
[3,2,6,7,5,8,1,4]=>1100100=>100
[1,2,7,5,6,3,8,4]=>0011100=>28
[2,8,7,6,4,3,1,5]=>1011011=>91
[3,8,7,6,1,2,5,4]=>1001011=>75
[3,8,7,6,2,1,5,4]=>1101011=>107
[4,8,7,6,2,1,3,5]=>1100011=>99
[4,8,7,6,1,3,2,5]=>1100011=>99
[3,8,7,6,4,1,2,5]=>1001011=>75
[7,8,3,6,5,1,2,4]=>1010100=>84
[2,3,7,5,6,8,1,4]=>1000100=>68
[3,8,7,6,4,2,1,5]=>1101011=>107
[5,1,4,6,8,2,3,7]=>1100000=>96
[1,7,6,3,5,4,8,2]=>0111010=>58
[4,3,7,2,6,5,1,8]=>1110100=>116
[3,4,6,1,5,7,2,8]=>1100000=>96
[1,6,8,5,7,3,4,2]=>0110100=>52
[2,4,1,5,8,6,3,7]=>1010010=>82
[4,6,1,2,5,8,3,7]=>1010000=>80
[5,6,7,2,1,4,8,3]=>1110000=>112
[7,8,6,5,1,2,4,3]=>1010110=>86
[1,3,6,5,7,8,2,4]=>0100100=>36
[7,4,8,5,3,1,6,2]=>1111100=>124
[6,8,5,2,4,1,7,3]=>1110100=>116
[2,3,1,6,8,5,7,4]=>1001100=>76
[7,3,2,5,1,4,8,6]=>1110010=>114
[7,1,4,2,3,6,8,5]=>1100100=>100
[1,5,8,3,4,6,7,2]=>0110000=>48
[8,3,1,2,4,7,6,5]=>1010110=>86
[2,3,8,1,6,5,4,7]=>1001100=>76
[8,1,4,7,2,5,3,6]=>1110000=>112
[3,5,2,4,1,7,8,6]=>1100010=>98
[3,4,7,8,6,2,1,5]=>1100010=>98
[3,4,8,6,2,7,1,5]=>1100010=>98
[5,8,2,1,6,7,3,4]=>1110000=>112
[5,7,2,8,6,4,3,1]=>1111010=>122
[6,1,2,7,5,3,8,4]=>1011100=>92
[7,3,2,8,6,4,1,5]=>1111010=>122
[2,7,8,4,6,3,1,5]=>1011000=>88
[1,4,5,7,2,6,8,3]=>0110000=>48
[7,3,5,2,6,1,8,4]=>1111000=>120
[8,5,2,3,6,1,7,4]=>1101100=>108
[8,1,6,3,5,7,2,4]=>1110000=>112
[2,8,6,4,3,7,1,5]=>1011010=>90
[8,3,2,6,4,7,1,5]=>1111000=>120
[2,3,8,7,6,5,1,4]=>1000111=>71
[1,2,8,7,3,6,5,4]=>0011101=>29
[4,2,8,7,3,6,1,5]=>1110001=>113
[4,5,8,7,1,2,6,3]=>1010001=>81
[1,5,8,7,3,2,6,4]=>0111001=>57
[4,5,8,7,3,2,1,6]=>1110001=>113
[2,6,8,1,7,5,4,3]=>1011100=>92
[3,6,8,4,7,2,1,5]=>1101000=>104
[2,5,8,3,7,6,1,4]=>1010010=>82
[3,2,8,4,7,6,1,5]=>1101010=>106
[1,5,8,3,7,2,6,4]=>0111000=>56
[3,5,8,4,7,2,1,6]=>1101000=>104
[5,6,8,2,3,7,1,4]=>1100000=>96
[1,6,8,4,2,7,5,3]=>0111100=>60
[1,5,8,4,2,7,6,3]=>0111010=>58
[1,5,8,2,3,7,6,4]=>0101010=>42
[2,1,8,4,3,7,6,5]=>1011110=>94
[2,5,8,4,3,7,1,6]=>1011000=>88
[5,6,8,4,1,2,7,3]=>1011000=>88
[5,6,8,1,3,2,7,4]=>1101000=>104
[1,6,8,4,3,2,7,5]=>0111100=>60
[5,6,8,4,3,2,1,7]=>1111000=>120
[7,1,2,8,6,5,4,3]=>1011110=>94
[7,1,4,8,6,2,5,3]=>1110010=>114
[7,3,1,8,6,2,5,4]=>1111010=>122
[7,2,4,8,3,6,1,5]=>1110000=>112
[7,1,4,8,3,2,6,5]=>1110100=>116
[7,4,5,8,3,2,1,6]=>1111000=>120
[1,6,2,8,7,5,4,3]=>0111101=>61
[1,6,4,8,7,2,5,3]=>0111001=>57
[3,6,4,8,7,2,1,5]=>1101001=>105
[3,2,5,8,7,6,1,4]=>1100011=>99
[3,2,4,8,7,6,1,5]=>1100011=>99
[3,1,5,8,7,2,6,4]=>1101001=>105
[3,1,4,8,7,2,6,5]=>1100101=>101
[1,6,4,8,2,7,5,3]=>0111100=>60
[1,4,5,8,2,7,6,3]=>0110010=>50
[2,4,5,8,3,7,1,6]=>1010000=>80
[4,6,5,8,1,2,7,3]=>1010100=>84
[1,6,4,8,3,2,7,5]=>0111100=>60
[1,4,5,8,3,2,7,6]=>0110010=>50
[7,6,1,4,8,2,5,3]=>1110010=>114
[7,6,1,3,8,2,5,4]=>1101010=>106
[7,6,3,4,8,2,1,5]=>1110010=>114
[7,2,5,1,8,6,4,3]=>1111010=>122
[7,2,5,3,8,6,1,4]=>1110010=>114
[7,2,1,4,8,6,5,3]=>1110110=>118
[7,2,1,3,8,6,5,4]=>1101110=>110
[7,2,3,4,8,6,1,5]=>1100010=>98
[7,3,5,4,8,2,1,6]=>1111000=>120
[2,6,5,1,8,7,4,3]=>1011101=>93
[2,3,5,4,8,7,1,6]=>1001001=>73
[1,6,5,4,8,2,7,3]=>0111100=>60
[1,6,5,3,8,2,7,4]=>0111100=>60
[1,6,3,4,8,2,7,5]=>0110100=>52
[1,3,5,4,8,2,7,6]=>0101010=>42
[3,6,5,4,8,2,1,7]=>1101100=>108
[7,6,5,2,3,8,1,4]=>1100110=>102
[7,6,1,4,2,8,5,3]=>1110110=>118
[7,6,1,2,3,8,5,4]=>1001110=>78
[7,6,2,4,3,8,1,5]=>1110010=>114
[7,1,5,4,2,8,6,3]=>1111010=>122
[7,1,5,2,3,8,6,4]=>1101010=>106
[7,1,2,4,3,8,6,5]=>1010110=>86
[2,6,5,4,3,8,1,7]=>1011100=>92
[7,6,1,4,3,2,8,5]=>1110110=>118
[7,1,5,4,3,2,8,6]=>1111010=>122
[3,4,2,6,7,8,1,5]=>1100000=>96
[3,1,4,2,6,8,7,5]=>1100101=>101
[8,3,4,2,6,1,7,5]=>1110100=>116
[2,6,7,3,5,4,1,8]=>1011000=>88
[2,7,8,3,5,4,1,6]=>1011000=>88
[2,6,8,3,5,4,1,7]=>1011000=>88
[4,7,1,2,8,5,3,6]=>1010100=>84
[4,8,1,2,7,5,3,6]=>1010100=>84
[2,1,6,3,7,5,4,8]=>1011100=>92
[2,7,1,3,6,8,4,5]=>1001000=>72
[6,7,3,2,8,1,4,5]=>1110000=>112
[7,3,4,2,6,1,8,5]=>1110100=>116
[7,4,1,2,8,5,3,6]=>1011100=>92
[8,7,4,2,1,5,3,6]=>1111001=>121
[7,4,1,2,6,5,3,8]=>1011100=>92
[7,4,3,1,5,6,8,2]=>1111000=>120
[6,7,4,1,5,8,3,2]=>1111000=>120
[4,7,5,1,6,8,3,2]=>1110100=>116
[4,5,3,1,7,6,8,2]=>1110010=>114
[4,6,1,2,7,5,3,8]=>1010100=>84
[2,7,1,3,6,5,4,8]=>1001100=>76
[4,1,8,2,6,5,3,7]=>1110100=>116
[4,6,1,2,8,5,3,7]=>1010100=>84
[8,4,3,1,5,6,7,2]=>1111000=>120
[4,5,3,1,8,6,7,2]=>1110010=>114
[4,8,5,6,3,1,7,2]=>1110100=>116
[5,1,3,4,8,6,7,2]=>1100010=>98
[5,4,3,8,1,6,7,2]=>1111000=>120
[8,5,3,4,1,6,7,2]=>1110100=>116
[6,4,8,2,1,5,3,7]=>1111000=>120
[6,7,3,2,5,1,4,8]=>1110000=>112
[6,8,3,2,5,1,4,7]=>1110000=>112
[5,7,1,4,6,8,3,2]=>1110000=>112
[5,1,3,4,7,6,8,2]=>1100010=>98
[6,1,4,2,7,5,3,8]=>1110100=>116
[5,4,3,7,1,6,8,2]=>1111000=>120
[6,7,5,4,1,8,3,2]=>1111100=>124
[7,6,4,2,1,5,3,8]=>1111010=>122
[8,2,7,6,5,4,1,3]=>1101110=>110
[7,2,8,6,5,4,3,1]=>1111110=>126
[8,1,9,7,6,5,4,3,2]=>11111110=>254
[2,10,9,8,7,6,5,4,1,3]=>100111111=>319
[9,2,8,7,6,5,4,1,3]=>11011110=>222
[3,9,8,7,6,5,4,1,2]=>10011111=>159
[8,7,2,6,5,4,1,3]=>1101101=>109
[3,2,8,7,6,5,1,4]=>1100111=>103
[4,8,7,6,5,3,1,2]=>1010111=>87
[7,8,6,1,5,4,3,2]=>1111010=>122
[8,9,1,7,6,5,4,3,2]=>11111100=>252
[7,3,8,6,5,4,2,1]=>1111110=>126
[8,2,9,7,6,5,4,3,1]=>11111110=>254
[9,1,10,8,7,6,5,4,3,2]=>111111110=>510
[4,8,5,7,6,3,2,1]=>1110110=>118
[3,8,7,4,6,5,2,1]=>1101101=>109
[2,8,7,6,3,5,4,1]=>1011011=>91
[8,5,6,1,3,2,4,7]=>1100100=>100
[8,6,1,5,3,2,4,7]=>1110010=>114
[7,8,1,5,3,2,4,6]=>1110000=>112
[8,1,7,5,3,2,4,6]=>1110100=>116
[8,6,1,4,5,2,3,7]=>1100010=>98
[8,6,3,1,5,2,4,7]=>1110010=>114
[8,4,6,1,5,2,3,7]=>1101000=>104
[8,6,2,1,5,4,3,7]=>1111010=>122
[8,5,2,6,1,4,3,7]=>1110100=>116
[8,5,2,1,7,4,3,6]=>1111100=>124
[7,8,2,1,5,4,3,6]=>1111000=>120
[7,8,3,1,5,2,4,6]=>1110000=>112
[8,2,7,5,1,3,4,6]=>1100100=>100
[8,4,1,7,5,2,3,6]=>1101100=>108
[8,2,7,1,5,4,3,6]=>1111000=>120
[8,2,6,1,7,4,3,5]=>1111000=>120
[8,1,7,4,3,2,6,5]=>1111100=>124
[8,1,5,7,3,2,6,4]=>1111000=>120
[5,7,8,1,3,2,6,4]=>1101000=>104
[8,2,6,1,5,7,3,4]=>1110000=>112
[5,8,1,6,7,2,3,4]=>1100000=>96
[5,7,6,1,8,2,3,4]=>1100010=>98
[6,7,2,5,1,8,3,4]=>1110000=>112
[7,5,1,6,8,2,3,4]=>1100100=>100
[6,5,7,1,8,2,3,4]=>1100100=>100
[6,7,3,8,1,2,4,5]=>1010000=>80
[7,5,4,1,8,2,3,6]=>1101100=>108
[7,6,1,4,8,2,3,5]=>1100010=>98
[8,1,6,4,7,2,3,5]=>1101000=>104
[7,5,8,1,3,2,4,6]=>1100100=>100
[7,8,4,1,3,2,5,6]=>1101000=>104
[8,3,7,4,1,2,5,6]=>1011000=>88
[8,5,1,7,3,2,4,6]=>1110100=>116
[6,8,1,7,3,2,4,5]=>1110000=>112
[7,1,8,4,3,6,2,5]=>1111000=>120
[7,3,1,8,6,4,2,5]=>1111010=>122
[8,3,1,7,4,6,2,5]=>1111000=>120
[8,4,5,1,7,2,3,6]=>1101000=>104
[5,6,8,1,7,2,3,4]=>1100000=>96
[6,5,8,1,2,7,3,4]=>1010100=>84
[7,3,1,8,5,6,2,4]=>1110100=>116
[6,2,7,8,3,1,5,4]=>1111000=>120
[5,8,1,7,3,2,6,4]=>1111000=>120
[8,4,1,7,3,2,6,5]=>1111100=>124
[8,3,4,7,1,2,6,5]=>1010100=>84
[8,2,7,4,1,3,6,5]=>1101100=>108
[7,4,8,2,1,3,6,5]=>1101100=>108
[7,4,3,8,1,2,6,5]=>1011100=>92
[8,2,3,6,7,1,5,4]=>1101000=>104
[2,6,8,7,1,5,4,3]=>1011001=>89
[7,8,5,2,3,6,4,1]=>1101100=>108
[8,7,5,2,3,1,6,4]=>1101101=>109
[6,8,5,2,3,4,7,1]=>1100100=>100
[3,5,2,6,8,1,4,7]=>1100000=>96
[3,5,2,4,6,8,1,7]=>1100000=>96
[2,4,5,7,3,6,8,1]=>1010000=>80
[2,4,5,3,6,8,1,7]=>1010000=>80
[5,2,4,6,8,1,3,7]=>1100000=>96
[5,1,3,4,6,8,2,7]=>1100000=>96
[4,3,5,2,6,8,1,7]=>1110000=>112
[4,3,5,7,2,8,1,6]=>1110000=>112
[4,3,5,7,2,6,8,1]=>1110000=>112
[4,6,3,7,2,5,8,1]=>1110000=>112
[4,6,3,1,7,8,2,5]=>1110000=>112
[4,3,5,1,7,8,2,6]=>1110000=>112
[5,7,1,3,4,8,2,6]=>1100000=>96
[5,7,1,3,4,6,8,2]=>1100000=>96
[4,5,7,1,3,6,8,2]=>1100000=>96
[4,3,6,7,1,5,8,2]=>1110000=>112
[4,6,3,5,1,7,8,2]=>1110000=>112
[4,6,3,5,7,2,8,1]=>1110000=>112
[3,5,6,4,1,7,8,2]=>1101000=>104
[3,1,5,6,7,4,8,2]=>1101000=>104
[5,1,6,7,3,4,8,2]=>1110000=>112
[6,4,7,1,3,5,8,2]=>1101000=>104
[1,6,7,3,4,5,8,2]=>0110000=>48
[2,6,7,4,5,8,1,3]=>1001000=>72
[2,6,7,4,8,1,3,5]=>1001000=>72
[5,3,6,1,2,7,8,4]=>1011000=>88
[3,5,2,6,1,7,8,4]=>1101000=>104
[3,5,2,6,7,4,8,1]=>1101000=>104
[5,2,3,6,7,4,8,1]=>1101000=>104
[5,2,3,6,1,7,8,4]=>1101000=>104
[5,2,6,1,3,7,8,4]=>1101000=>104
[4,2,6,7,3,5,8,1]=>1110000=>112
[6,3,7,2,4,5,8,1]=>1110000=>112
[3,5,7,2,8,1,4,6]=>1100000=>96
[3,7,2,4,8,1,5,6]=>1100000=>96
[7,2,4,6,8,1,3,5]=>1100000=>96
[7,1,3,4,6,8,2,5]=>1100000=>96
[3,7,2,4,6,8,1,5]=>1100000=>96
[3,5,7,2,6,8,1,4]=>1100000=>96
[6,3,7,2,5,8,1,4]=>1110000=>112
[6,3,5,7,2,8,1,4]=>1110000=>112
[6,3,5,7,2,4,8,1]=>1110000=>112
[6,2,4,5,7,3,8,1]=>1110000=>112
[6,2,4,5,1,7,8,3]=>1110000=>112
[4,7,1,2,5,6,8,3]=>1010000=>80
[2,6,7,5,8,1,3,4]=>1000100=>68
[4,6,7,1,2,5,8,3]=>1010000=>80
[5,6,2,4,7,3,8,1]=>1110000=>112
[5,4,2,6,7,3,8,1]=>1111000=>120
[5,4,2,6,1,7,8,3]=>1111000=>120
[1,5,4,6,2,7,8,3]=>0111000=>56
[5,6,4,1,2,7,8,3]=>1011000=>88
[6,4,5,1,2,7,8,3]=>1011000=>88
[6,3,5,1,7,8,2,4]=>1110000=>112
[6,5,7,2,8,1,3,4]=>1100100=>100
[6,5,7,1,3,4,8,2]=>1100100=>100
[5,6,4,7,1,3,8,2]=>1101000=>104
[5,4,6,3,1,7,8,2]=>1111000=>120
[7,5,3,2,4,8,1,6]=>1110100=>116
[8,4,5,2,6,1,3,7]=>1101000=>104
[8,5,4,2,1,6,3,7]=>1111100=>124
[8,5,3,4,1,6,2,7]=>1110100=>116
[8,4,5,3,1,6,2,7]=>1111000=>120
[7,5,4,2,1,8,3,6]=>1111100=>124
[7,5,4,2,1,6,8,3]=>1111100=>124
[7,4,5,3,1,6,8,2]=>1111000=>120
[7,4,3,5,6,1,8,2]=>1111000=>120
[5,6,3,7,4,1,8,2]=>1111000=>120
[5,6,7,3,1,4,8,2]=>1110000=>112
[6,7,3,4,1,5,8,2]=>1110000=>112
[6,7,4,2,1,5,8,3]=>1111000=>120
[5,6,7,3,1,8,2,4]=>1110000=>112
[5,6,3,7,8,1,2,4]=>1010000=>80
[5,6,3,7,2,4,8,1]=>1110000=>112
[5,6,7,2,3,8,1,4]=>1100000=>96
[7,4,5,2,8,1,3,6]=>1101000=>104
[6,7,3,2,4,8,1,5]=>1110000=>112
[7,6,4,2,1,3,8,5]=>1101110=>110
[7,6,3,4,1,2,8,5]=>1010110=>86
[7,6,3,2,4,1,8,5]=>1110110=>118
[6,7,3,2,5,1,8,4]=>1111000=>120
[6,5,3,2,7,8,1,4]=>1110100=>116
[6,5,3,2,7,4,8,1]=>1111100=>124
[6,4,5,2,7,3,8,1]=>1111000=>120
[6,4,5,2,7,8,1,3]=>1101000=>104
[7,4,5,2,6,1,8,3]=>1111000=>120
[7,4,5,6,1,2,8,3]=>1011000=>88
[7,5,6,2,1,3,8,4]=>1101100=>108
[6,7,3,5,1,2,8,4]=>1011000=>88
[5,6,7,4,1,2,8,3]=>1011000=>88
[5,6,7,2,4,1,8,3]=>1110000=>112
[5,6,4,2,7,8,1,3]=>1101000=>104
[6,5,7,2,1,8,3,4]=>1110100=>116
[6,5,7,2,1,4,8,3]=>1110100=>116
[5,4,6,7,3,1,8,2]=>1111000=>120
[5,7,8,3,6,4,1,2]=>1011000=>88
[3,7,8,5,6,4,1,2]=>1001100=>76
[3,7,8,5,6,1,4,2]=>1100100=>100
[1,7,8,5,6,3,4,2]=>0110100=>52
[1,7,5,8,6,3,4,2]=>0110110=>54
[3,7,5,8,6,1,4,2]=>1100110=>102
[3,7,5,8,6,4,1,2]=>1001110=>78
[5,7,3,8,6,4,1,2]=>1011010=>90
[7,3,8,5,6,4,1,2]=>1011100=>92
[7,3,5,8,6,4,1,2]=>1011010=>90
[3,5,7,8,6,4,1,2]=>1001010=>74
[1,5,7,8,6,3,4,2]=>0110010=>50
[1,5,7,8,3,6,4,2]=>0111000=>56
[3,5,7,8,1,6,4,2]=>1101000=>104
[5,3,7,8,1,6,4,2]=>1111000=>120
[7,3,5,8,6,1,4,2]=>1110010=>114
[7,3,8,5,6,1,4,2]=>1110100=>116
[7,8,1,5,6,3,4,2]=>1110000=>112
[7,1,8,5,6,3,4,2]=>1110100=>116
[7,1,5,8,6,3,4,2]=>1110010=>114
[5,1,7,8,3,6,4,2]=>1111000=>120
[3,1,7,8,5,6,4,2]=>1101100=>108
[1,3,7,8,5,6,4,2]=>0101100=>44
[3,1,7,5,8,6,4,2]=>1101110=>110
[5,1,7,3,8,6,4,2]=>1111010=>122
[7,1,5,3,8,6,4,2]=>1111010=>122
[7,1,5,8,3,6,4,2]=>1111000=>120
[7,8,1,5,3,6,4,2]=>1111000=>120
[7,8,3,5,1,6,4,2]=>1111000=>120
[7,3,5,8,1,6,4,2]=>1111000=>120
[5,3,7,1,8,6,4,2]=>1111010=>122
[3,5,7,1,8,6,4,2]=>1101010=>106
[1,7,5,3,8,6,4,2]=>0111110=>62
[5,7,3,1,8,6,4,2]=>1111010=>122
[5,7,3,8,6,1,4,2]=>1110010=>114
[3,7,5,8,1,6,4,2]=>1101100=>108
[1,7,5,8,3,6,4,2]=>0111100=>60
[1,7,8,5,3,6,4,2]=>0111100=>60
[3,7,8,5,1,6,4,2]=>1101100=>108
[5,7,8,3,6,1,4,2]=>1110000=>112
[5,7,8,6,3,1,4,2]=>1110010=>114
[7,5,8,6,1,3,4,2]=>1100110=>102
[5,7,8,1,6,3,4,2]=>1110000=>112
[5,7,8,1,3,6,4,2]=>1101000=>104
[3,7,8,1,5,6,4,2]=>1101000=>104
[1,7,8,3,5,6,4,2]=>0111000=>56
[1,7,3,8,5,6,4,2]=>0111100=>60
[3,7,1,8,5,6,4,2]=>1101100=>108
[5,7,1,8,3,6,4,2]=>1111000=>120
[5,7,1,8,6,3,4,2]=>1110010=>114
[7,5,1,8,6,3,4,2]=>1110110=>118
[7,5,8,1,6,3,4,2]=>1110100=>116
[7,8,5,1,6,3,4,2]=>1110100=>116
[7,8,5,1,3,6,4,2]=>1101100=>108
[7,5,8,1,3,6,4,2]=>1101100=>108
[7,5,1,8,3,6,4,2]=>1111100=>124
[7,5,1,3,8,6,4,2]=>1101110=>110
[5,7,1,3,8,6,4,2]=>1101010=>106
[3,7,1,5,8,6,4,2]=>1101010=>106
[1,7,3,5,8,6,4,2]=>0111010=>58
[1,5,3,7,8,6,4,2]=>0111010=>58
[3,5,1,7,8,6,4,2]=>1101010=>106
[5,3,1,7,8,6,4,2]=>1111010=>122
[7,3,1,5,8,6,4,2]=>1111010=>122
[7,3,1,8,5,6,4,2]=>1111100=>124
[7,3,8,1,5,6,4,2]=>1111000=>120
[7,8,3,1,5,6,4,2]=>1111000=>120
[7,8,1,3,5,6,4,2]=>1101000=>104
[7,1,8,3,5,6,4,2]=>1111000=>120
[7,1,3,8,5,6,4,2]=>1101100=>108
[7,1,3,5,8,6,4,2]=>1101010=>106
[3,1,5,7,8,6,4,2]=>1101010=>106
[5,7,3,4,6,8,1,2]=>1010000=>80
[5,7,3,4,8,6,1,2]=>1010010=>82
[5,7,3,4,8,1,6,2]=>1110000=>112
[5,7,3,4,1,8,6,2]=>1110010=>114
[5,7,3,4,1,6,8,2]=>1110000=>112
[5,7,3,4,6,1,2,8]=>1010000=>80
[7,3,5,6,1,2,8,4]=>1011000=>88
[5,7,3,1,4,6,2,8]=>1110000=>112
[5,7,3,1,4,6,8,2]=>1110000=>112
[5,7,3,1,4,8,6,2]=>1110010=>114
[5,7,3,1,4,8,2,6]=>1110000=>112
[5,3,7,4,1,2,8,6]=>1011010=>90
[5,3,7,4,1,2,6,8]=>1011000=>88
[5,3,7,1,4,2,6,8]=>1110000=>112
[5,3,7,1,4,2,8,6]=>1110010=>114
[3,7,5,1,2,8,6,4]=>1001110=>78
[7,8,3,5,1,2,6,4]=>1011000=>88
[7,3,8,5,1,2,6,4]=>1011100=>92
[7,3,5,8,1,2,6,4]=>1011000=>88
[3,7,5,1,2,6,4,8]=>1001100=>76
[3,7,5,1,2,6,8,4]=>1001100=>76
[6,1,4,3,5,2,8,7]=>1110001=>113
[2,5,7,3,8,4,1,6]=>1011000=>88
[5,4,7,8,6,1,3,2]=>1101010=>106
[7,5,6,2,8,3,1,4]=>1110100=>116
[4,7,2,5,8,3,1,6]=>1110000=>112
[6,2,4,5,1,3,8,7]=>1100001=>97
[5,1,4,6,3,2,8,7]=>1110001=>113
[3,5,6,2,4,1,8,7]=>1100001=>97
[3,8,6,7,5,4,1,2]=>1001110=>78
[6,2,7,8,3,4,1,5]=>1110000=>112
[2,5,3,4,8,1,7,6]=>1010010=>82
[8,7,1,2,5,3,4,6]=>1010001=>81
[5,1,8,2,3,4,7,6]=>1100010=>98
[5,4,7,6,2,8,1,3]=>1101010=>106
[3,7,8,1,5,4,6,2]=>1101000=>104
[7,1,3,4,6,8,5,2]=>1100100=>100
[8,3,6,5,7,1,4,2]=>1110100=>116
[5,8,7,1,4,6,2,3]=>1100001=>97
[4,7,6,1,8,3,5,2]=>1110010=>114
[4,7,2,6,3,8,5,1]=>1110100=>116
[2,1,8,4,6,7,3,5]=>1011000=>88
[4,7,8,6,3,1,2,5]=>1010010=>82
[3,8,1,5,6,7,2,4]=>1100000=>96
[6,7,2,4,8,5,3,1]=>1110100=>116
[2,8,3,6,7,5,1,4]=>1010100=>84
[8,2,1,7,6,3,5,4]=>1111010=>122
[3,2,4,5,8,1,7,6]=>1100010=>98
[7,4,6,3,2,1,8,5]=>1111100=>124
[4,7,3,2,1,8,6,5]=>1110110=>118
[6,4,7,5,2,3,8,1]=>1101100=>108
[6,4,8,1,7,3,2,5]=>1111000=>120
[4,8,7,2,3,1,5,6]=>1100001=>97
[4,2,3,1,8,7,5,6]=>1100101=>101
[7,6,8,1,3,5,2,4]=>1100010=>98
[6,7,5,2,3,1,8,4]=>1101100=>108
[4,7,2,6,5,1,8,3]=>1110100=>116
[6,4,2,1,8,5,7,3]=>1111100=>124
[7,2,1,5,6,8,4,3]=>1111000=>120
[8,7,2,6,4,1,5,3]=>1111001=>121
[6,7,8,2,5,3,1,4]=>1110000=>112
[2,1,7,3,6,8,5,4]=>1011100=>92
[2,1,5,7,8,4,6,3]=>1011000=>88
[2,5,7,8,3,6,1,4]=>1010000=>80
[6,4,1,5,7,2,8,3]=>1111000=>120
[7,4,8,1,2,5,6,3]=>1011000=>88
[4,2,7,8,6,3,5,1]=>1110010=>114
[6,1,7,4,3,2,8,5]=>1111100=>124
[6,8,3,4,2,1,7,5]=>1110100=>116
[4,2,6,1,5,7,8,3]=>1110000=>112
[2,4,6,7,3,5,8,1]=>1010000=>80
[6,5,8,3,7,4,1,2]=>1011100=>92
[7,1,4,8,3,5,6,2]=>1110000=>112
[6,8,7,5,3,4,1,2]=>1010101=>85
[4,8,6,3,1,5,7,2]=>1110010=>114
[3,4,8,2,5,7,6,1]=>1100010=>98
[3,6,8,7,2,5,1,4]=>1100001=>97
[3,5,7,2,8,6,1,4]=>1100010=>98
[2,5,7,4,8,6,1,3]=>1001010=>74
[1,6,3,7,5,2,8,4]=>0111100=>60
[2,6,3,7,5,1,8,4]=>1011100=>92
[2,6,4,8,7,5,1,3]=>1001101=>77
[6,3,7,2,8,5,1,4]=>1110100=>116
[3,6,2,5,8,7,1,4]=>1100001=>97
[5,2,8,4,7,6,1,3]=>1101010=>106
[7,2,4,8,6,5,1,3]=>1100110=>102
[6,2,4,8,7,5,1,3]=>1100101=>101
[2,4,5,8,7,6,1,3]=>1000011=>67
[2,3,5,7,6,1,8,4]=>1001010=>74
[1,3,4,6,2,8,7,5]=>0100101=>37
[5,2,3,6,1,8,7,4]=>1101001=>105
[4,2,7,3,8,1,6,5]=>1110100=>116
[2,5,1,4,7,3,8,6]=>1010010=>82
[6,1,3,8,7,2,5,4]=>1101001=>105
[3,1,5,6,2,8,7,4]=>1101001=>105
[1,2,4,6,3,8,7,5]=>0010101=>21
[4,1,5,2,8,7,6,3]=>1110011=>115
[7,1,4,2,8,6,5,3]=>1110110=>118
[5,1,3,7,2,8,6,4]=>1101010=>106
[4,1,5,3,2,8,7,6]=>1110011=>115
[2,6,1,4,3,8,7,5]=>1010101=>85
[3,6,2,4,1,8,7,5]=>1100101=>101
[7,2,3,5,1,8,6,4]=>1101010=>106
[7,3,4,1,8,6,5,2]=>1110110=>118
[6,3,4,1,8,7,5,2]=>1110101=>117
[3,4,5,1,8,7,6,2]=>1100011=>99
[1,4,5,2,8,7,6,3]=>0110011=>51
[1,6,4,2,8,7,5,3]=>0111101=>61
[5,6,3,1,8,7,4,2]=>1111001=>121
[7,4,2,5,1,8,6,3]=>1111010=>122
[5,3,6,2,8,1,7,4]=>1111000=>120
[4,6,2,7,5,1,8,3]=>1110100=>116
[4,5,2,6,1,8,7,3]=>1110001=>113
[1,5,3,6,2,8,7,4]=>0111001=>57
[1,5,8,3,2,7,6,4]=>0111010=>58
[2,5,8,3,1,7,6,4]=>1011010=>90
[4,5,8,2,1,7,6,3]=>1110010=>114
[3,6,2,5,1,4,8,7]=>1100001=>97
[5,2,8,4,1,3,7,6]=>1101010=>106
[2,4,8,7,1,3,6,5]=>1000101=>69
[2,5,8,1,3,7,6,4]=>1001010=>74
[2,3,8,1,4,7,6,5]=>1000110=>70
[1,3,8,2,4,7,6,5]=>0100110=>38
[3,4,1,7,2,8,6,5]=>1100110=>102
[3,5,2,1,7,4,8,6]=>1101010=>106
[6,3,1,7,2,8,5,4]=>1111100=>124
[7,5,1,2,8,6,4,3]=>1011110=>94
[4,6,1,2,8,7,5,3]=>1010101=>85
[1,6,2,3,8,7,5,4]=>0101101=>45
[1,5,2,3,8,7,6,4]=>0101011=>43
[4,5,1,2,8,7,6,3]=>1010011=>83
[6,4,1,2,8,7,5,3]=>1011101=>93
[7,4,1,2,8,6,5,3]=>1011110=>94
[5,3,1,7,2,8,6,4]=>1111010=>122
[5,2,8,1,3,7,6,4]=>1101010=>106
[4,1,2,8,3,7,6,5]=>1010110=>86
[4,7,5,6,8,3,1,2]=>1010100=>84
[8,6,4,7,5,3,1,2]=>1011110=>94
[7,5,2,6,4,1,3,8]=>1101100=>108
[1,6,3,7,5,8,4,2]=>0111100=>60
[1,3,7,4,5,8,6,2]=>0101010=>42
[7,2,6,3,4,1,5,8]=>1110000=>112
[8,3,7,4,6,5,1,2]=>1011100=>92
[6,8,4,7,5,3,1,2]=>1011100=>92
[4,8,7,5,6,3,1,2]=>1010101=>85
[3,8,7,6,4,5,1,2]=>1001011=>75
[1,6,5,2,8,3,7,4]=>0111100=>60
[8,6,5,2,1,4,3,7]=>1110110=>118
[2,7,6,3,1,4,5,8]=>1010010=>82
[6,8,5,3,2,1,4,7]=>1110100=>116
[2,7,6,4,5,1,3,8]=>1001010=>74
[5,7,2,6,4,1,3,8]=>1101000=>104
[6,1,3,7,5,8,4,2]=>1101100=>108
[4,1,7,3,6,8,5,2]=>1110100=>116
[8,1,6,4,3,7,5,2]=>1111100=>124
[2,1,7,4,8,6,3,5]=>1011010=>90
[1,8,6,3,7,5,4,2]=>0111110=>62
[1,8,2,7,3,6,5,4]=>0111100=>60
[2,1,3,8,4,7,5,6]=>1001100=>76
[8,1,2,7,4,3,6,5]=>1011100=>92
[5,3,1,6,8,4,7,2]=>1111000=>120
[6,2,8,7,1,4,3,5]=>1110001=>113
[8,7,2,1,5,4,3,6]=>1111001=>121
[8,2,3,1,4,6,5,7]=>1100100=>100
[2,4,8,3,1,5,6,7]=>1010000=>80
[3,4,2,7,1,5,6,8]=>1100000=>96
[4,7,3,8,2,1,5,6]=>1110000=>112
[5,2,7,3,1,4,6,8]=>1110000=>112
[8,3,7,2,1,5,4,6]=>1111000=>120
[1,3,7,2,8,4,6,5]=>0101100=>44
[1,4,2,5,8,6,7,3]=>0110010=>50
[6,5,3,8,2,1,4,7]=>1110100=>116
[2,6,4,5,7,1,3,8]=>1001000=>72
[5,4,6,2,7,1,3,8]=>1101000=>104
[7,6,3,1,8,4,5,2]=>1111010=>122
[7,6,2,1,8,5,3,4]=>1110110=>118
[1,7,5,8,6,4,3,2]=>0111110=>62
[6,5,1,2,8,3,7,4]=>1011100=>92
[8,6,1,4,3,7,5,2]=>1110110=>118
[6,8,4,1,3,7,5,2]=>1101100=>108
[6,5,7,1,3,8,4,2]=>1101100=>108
[5,8,3,1,7,4,6,2]=>1111000=>120
[8,3,1,7,5,4,6,2]=>1111100=>124
[1,3,8,7,4,6,5,2]=>0101101=>45
[1,2,8,7,6,3,5,4]=>0011011=>27
[8,2,1,7,6,4,3,5]=>1111010=>122
[2,3,1,8,7,4,5,6]=>1001001=>73
[2,4,1,8,5,7,3,6]=>1010100=>84
[5,8,2,1,7,6,3,4]=>1110010=>114
[6,2,7,1,8,5,3,4]=>1110100=>116
[8,7,1,6,5,4,3,2]=>1111101=>125
[7,1,8,3,6,5,4,2]=>1111100=>124
[4,1,8,7,5,6,3,2]=>1110101=>117
[8,1,2,3,4,5,9,6,7]=>10000100=>132
[8,1,2,3,4,9,5,6,7]=>10001000=>136
[8,1,2,9,3,4,5,6,7]=>10100000=>160
[8,1,9,2,3,4,5,6,7]=>11000000=>192
[6,1,2,3,4,5,8,9,7]=>10000010=>130
[9,1,2,3,4,5,6,10,7,8]=>100000100=>260
[5,1,2,3,4,8,9,6,7]=>10000100=>132
[9,1,2,3,4,5,10,6,7,8]=>100001000=>264
[4,1,2,3,8,9,5,6,7]=>10001000=>136
[3,1,2,8,9,4,5,6,7]=>10010000=>144
[9,1,2,3,10,4,5,6,7,8]=>100100000=>288
[2,1,8,9,3,4,5,6,7]=>10100000=>160
[9,1,2,10,3,4,5,6,7,8]=>101000000=>320
[3,5,8,7,2,6,4,1]=>1101001=>105
[5,8,2,7,1,6,4,3]=>1111000=>120
[2,1,6,4,5,8,3,7]=>1011000=>88
[8,6,3,7,5,2,1,4]=>1110110=>118
[4,6,3,8,5,2,1,7]=>1110100=>116
[4,6,3,7,5,2,8,1]=>1110100=>116
[3,5,7,8,2,6,1,4]=>1100000=>96
[8,2,3,4,6,1,5,7]=>1100000=>96
[7,2,3,4,6,8,5,1]=>1100100=>100
[4,2,3,6,1,5,8,7]=>1100001=>97
[4,8,3,7,5,1,6,2]=>1110100=>116
[5,2,3,4,8,7,1,6]=>1100001=>97
[5,2,3,4,6,8,1,7]=>1100000=>96
[4,2,8,5,7,6,1,3]=>1100110=>102
[3,7,6,4,5,1,8,2]=>1101010=>106
[3,8,6,4,5,1,2,7]=>1001010=>74
[4,8,3,7,5,2,1,6]=>1110100=>116
[8,7,3,6,5,1,2,4]=>1010101=>85
[4,2,7,5,8,6,3,1]=>1110110=>118
[5,8,1,7,3,6,4,2]=>1111000=>120
[5,2,7,8,4,6,3,1]=>1111000=>120
[5,2,8,3,7,6,1,4]=>1110010=>114
[8,2,7,3,1,6,4,5]=>1111000=>120
[6,2,3,4,8,5,1,7]=>1100100=>100
[6,2,3,4,1,8,5,7]=>1100100=>100
[7,2,3,4,1,8,6,5]=>1100110=>102
[7,2,3,4,1,5,8,6]=>1100010=>98
[1,2,3,4,8,7,5,6]=>0000101=>5
[1,2,8,5,3,4,6,7]=>0010100=>20
[1,8,4,2,3,5,6,7]=>0101000=>40
[8,6,7,4,1,5,3,2]=>1111010=>122
[4,8,6,7,5,1,3,2]=>1100110=>102
[7,1,8,4,6,5,2,3]=>1101100=>108
[8,7,1,5,4,6,2,3]=>1101001=>105
[8,5,7,1,4,6,3,2]=>1110100=>116
[6,4,8,5,1,7,3,2]=>1111100=>124
[4,8,5,7,1,6,3,2]=>1110100=>116
[8,4,7,1,5,6,3,2]=>1111000=>120
[8,7,1,4,5,6,3,2]=>1110001=>113
[8,7,4,5,6,1,3,2]=>1101001=>105
[8,7,5,1,4,6,2,3]=>1100101=>101
[8,7,2,5,1,4,6,3]=>1110001=>113
[4,8,7,2,5,1,6,3]=>1110001=>113
[1,6,4,8,5,2,7,3]=>0111100=>60
[8,7,1,4,2,5,6,3]=>1110001=>113
[8,7,5,1,2,4,6,3]=>1010101=>85
[7,1,8,5,6,2,3,4]=>1100100=>100
[3,8,7,1,2,5,6,4]=>1001001=>73
[3,5,8,7,1,2,6,4]=>1001001=>73
[2,3,8,5,7,1,6,4]=>1001100=>76
[3,8,7,1,5,6,2,4]=>1100001=>97
[3,5,8,7,1,6,2,4]=>1100001=>97
[2,3,8,6,7,5,1,4]=>1000110=>70
[3,2,8,6,7,5,1,4]=>1100110=>102
[4,1,8,6,2,7,5,3]=>1110110=>118
[8,7,4,1,2,6,5,3]=>1011101=>93
[1,3,8,6,7,5,2,4]=>0100110=>38
[5,7,1,8,2,6,3,4]=>1110000=>112
[2,8,7,1,5,6,3,4]=>1010001=>81
[8,7,1,5,2,4,6,3]=>1110001=>113
[7,1,8,2,4,6,5,3]=>1110100=>116
[1,6,2,8,4,7,5,3]=>0111100=>60
[1,3,8,5,7,2,6,4]=>0101100=>44
[1,8,3,7,2,5,6,4]=>0111000=>56
[2,8,7,1,3,5,6,4]=>1001001=>73
[5,7,1,8,2,3,6,4]=>1101000=>104
[7,1,8,2,3,5,6,4]=>1101000=>104
[8,6,3,7,4,1,5,2]=>1111010=>122
[4,2,8,6,7,5,1,3]=>1100110=>102
[8,4,2,7,5,6,1,3]=>1101100=>108
[4,8,3,6,1,7,5,2]=>1110100=>116
[8,3,4,7,5,1,6,2]=>1110100=>116
[8,3,7,4,5,1,6,2]=>1111000=>120
[8,7,4,2,5,6,1,3]=>1101001=>105
[8,7,5,1,6,2,3,4]=>1100101=>101
[8,7,2,4,1,5,6,3]=>1110001=>113
[4,8,6,1,7,2,5,3]=>1110010=>114
[4,7,1,8,2,6,5,3]=>1110100=>116
[4,2,8,6,7,1,5,3]=>1110010=>114
[8,7,4,1,2,5,6,3]=>1011001=>89
[8,2,7,1,6,3,4,5]=>1110000=>112
[8,2,7,1,3,6,4,5]=>1101000=>104
[2,8,3,6,7,1,5,4]=>1011000=>88
[8,7,2,1,3,5,6,4]=>1101001=>105
[1,8,7,2,3,6,4,5]=>0101001=>41
[1,8,7,2,6,3,4,5]=>0110001=>49
[8,2,7,3,6,1,4,5]=>1110000=>112
[1,8,7,3,6,2,4,5]=>0110001=>49
[1,8,2,7,6,3,4,5]=>0110010=>50
[8,2,7,4,1,5,6,3]=>1111000=>120
[8,2,1,7,5,6,3,4]=>1110100=>116
[8,7,3,1,5,6,2,4]=>1110001=>113
[2,8,7,3,5,6,1,4]=>1010001=>81
[8,3,1,6,7,5,2,4]=>1110100=>116
[8,5,2,1,6,7,4,3]=>1111100=>124
[1,5,2,8,6,7,4,3]=>0111010=>58
[1,2,8,6,7,5,3,4]=>0010110=>22
[1,8,3,6,7,5,2,4]=>0110100=>52
[8,2,3,6,7,5,1,4]=>1100100=>100
[8,3,7,2,5,6,1,4]=>1110000=>112
[8,1,3,7,5,6,2,4]=>1100100=>100
[8,4,1,2,7,5,6,3]=>1011100=>92
[8,1,4,2,6,7,5,3]=>1110100=>116
[1,2,8,6,7,3,5,4]=>0011010=>26
[8,1,2,7,3,6,4,5]=>1011000=>88
[8,1,7,3,6,2,4,5]=>1110000=>112
[8,1,7,2,6,3,4,5]=>1110000=>112
[8,1,7,2,3,6,4,5]=>1101000=>104
[8,1,3,7,2,5,6,4]=>1101000=>104
[1,8,3,6,7,2,5,4]=>0111000=>56
[1,7,8,2,3,6,5,4]=>0101100=>44
[8,3,7,1,2,5,6,4]=>1011000=>88
[8,7,1,2,3,6,4,5]=>1001001=>73
[2,8,5,7,4,6,3,1]=>1011100=>92
[3,1,8,5,7,4,2,6]=>1101100=>108
[8,3,5,7,4,2,6,1]=>1111000=>120
[8,3,6,2,4,5,7,1]=>1110000=>112
[2,8,6,4,3,5,7,1]=>1011010=>90
[2,6,8,3,5,4,7,1]=>1011000=>88
[2,7,5,8,4,6,3,1]=>1011100=>92
[8,4,2,7,6,1,3,5]=>1101010=>106
[4,8,1,7,6,3,2,5]=>1110010=>114
[4,1,7,6,2,3,5,8]=>1100010=>98
[3,7,1,8,6,2,5,4]=>1101010=>106
[3,1,7,6,4,5,2,8]=>1101010=>106
[3,1,7,5,8,4,2,6]=>1101100=>108
[3,1,6,8,7,5,2,4]=>1100101=>101
[6,3,8,7,5,2,4,1]=>1110101=>117
[7,3,5,8,4,2,6,1]=>1111000=>120
[7,3,6,4,2,8,5,1]=>1111100=>124
[7,8,3,6,2,5,4,1]=>1111000=>120
[7,4,8,2,1,6,3,5]=>1111000=>120
[8,7,4,6,3,2,5,1]=>1111001=>121
[7,8,5,2,1,4,3,6]=>1110100=>116
[7,5,2,3,1,4,8,6]=>1100110=>102
[7,4,6,2,3,8,1,5]=>1101000=>104
[6,4,2,5,8,3,7,1]=>1111000=>120
[4,6,5,8,1,3,2,7]=>1100100=>100
[4,7,1,5,3,8,2,6]=>1110000=>112
[4,7,8,1,3,6,2,5]=>1100000=>96
[5,7,1,3,4,6,2,8]=>1100000=>96
[5,7,1,4,2,3,6,8]=>1100000=>96
[5,8,1,3,2,4,6,7]=>1100000=>96
[4,8,6,1,3,2,7,5]=>1100110=>102
[8,4,6,2,1,3,7,5]=>1101100=>108
[5,4,8,7,2,3,6,1]=>1101001=>105
[5,4,8,7,3,1,2,6]=>1011001=>89
[6,8,3,7,2,5,4,1]=>1111000=>120
[5,4,6,8,2,3,7,1]=>1101000=>104
[5,7,4,2,8,3,6,1]=>1111000=>120
[6,4,7,2,1,8,3,5]=>1111000=>120
[6,5,3,4,1,2,8,7]=>1010101=>85
[6,8,5,4,1,3,2,7]=>1101100=>108
[6,4,3,7,1,5,2,8]=>1111000=>120
[9,8,7,6,5,2,3,1,4]=>11001111=>207
[9,8,7,6,3,4,2,1,5]=>11100111=>231
[9,8,7,4,5,3,2,1,6]=>11110011=>243
[9,8,5,6,4,3,2,1,7]=>11111001=>249
[9,6,7,5,4,3,2,1,8]=>11111100=>252
[7,4,2,6,1,5,3,8]=>1111000=>120
[7,4,2,5,6,1,3,8]=>1101000=>104
[6,4,2,8,1,5,7,3]=>1111000=>120
[6,3,7,8,2,5,1,4]=>1110000=>112
[7,3,5,6,4,2,1,8]=>1111000=>120
[7,4,3,1,5,6,2,8]=>1111000=>120
[7,4,5,2,6,1,3,8]=>1101000=>104
[5,3,7,2,8,6,4,1]=>1111010=>122
[5,3,8,2,6,7,4,1]=>1111000=>120
[6,3,8,2,5,4,7,1]=>1111000=>120
[6,4,8,2,1,5,7,3]=>1111000=>120
[6,4,3,1,8,2,7,5]=>1111100=>124
[5,3,7,8,2,6,4,1]=>1111000=>120
[4,7,8,5,6,3,2,1]=>1110100=>116
[5,3,7,6,8,2,4,1]=>1110010=>114
[5,7,8,4,6,2,1,3]=>1101000=>104
[5,8,4,3,6,7,1,2]=>1011000=>88
[5,8,6,4,7,2,1,3]=>1101010=>106
[5,3,8,6,2,7,4,1]=>1111010=>122
[4,7,5,8,6,3,2,1]=>1110110=>118
[4,8,6,7,5,3,2,1]=>1110110=>118
[6,3,8,7,2,4,1,5]=>1110001=>113
[5,3,8,7,2,6,4,1]=>1111001=>121
[5,3,8,6,7,2,4,1]=>1110010=>114
[5,3,7,8,6,2,4,1]=>1110010=>114
[5,7,6,4,8,2,1,3]=>1101010=>106
[5,8,4,6,7,2,1,3]=>1101000=>104
[6,4,2,8,1,7,3,5]=>1111000=>120
[6,5,2,4,3,7,8,1]=>1110100=>116
[5,4,6,2,8,7,1,3]=>1101001=>105
[5,6,3,8,7,2,4,1]=>1110001=>113
[6,7,4,3,1,8,2,5]=>1111000=>120
[5,7,4,3,6,8,1,2]=>1011000=>88
[5,7,3,8,6,2,4,1]=>1110010=>114
[4,5,8,6,7,3,2,1]=>1110010=>114
[4,6,8,5,7,3,2,1]=>1110100=>116
[5,6,8,3,7,2,4,1]=>1110000=>112
[5,4,6,8,2,7,1,3]=>1101000=>104
[3,6,7,8,2,5,1,4]=>1100000=>96
[5,7,8,2,6,4,1,3]=>1101000=>104
[3,6,8,5,7,1,4,2]=>1100100=>100
[1,7,4,8,6,2,3,5]=>0101010=>42
[3,6,2,5,7,8,1,4]=>1100000=>96
[5,2,7,4,6,8,1,3]=>1101000=>104
[7,2,4,5,8,6,1,3]=>1100010=>98
[5,3,6,7,1,8,4,2]=>1111000=>120
[4,2,5,6,7,1,8,3]=>1110000=>112
[8,2,3,7,5,1,6,4]=>1101100=>108
[7,2,6,3,5,1,8,4]=>1111000=>120
[8,1,3,6,7,2,4,5]=>1100000=>96
[8,1,4,2,5,6,3,7]=>1110000=>112
[8,1,4,2,7,5,3,6]=>1110100=>116
[6,1,3,8,2,7,4,5]=>1101000=>104
[3,6,2,4,1,7,8,5]=>1100100=>100
[6,2,7,3,1,5,8,4]=>1111000=>120
[6,3,4,1,8,5,7,2]=>1110100=>116
[7,3,4,1,5,8,6,2]=>1110010=>114
[1,7,5,2,8,6,3,4]=>0110110=>54
[3,7,4,1,8,5,6,2]=>1101100=>108
[5,6,3,1,7,8,4,2]=>1111000=>120
[3,6,4,8,1,5,7,2]=>1101000=>104
[1,5,8,4,2,6,3,7]=>0111000=>56
[3,5,7,4,1,6,8,2]=>1101000=>104
[3,5,7,1,2,6,4,8]=>1001000=>72
[4,5,1,8,2,3,7,6]=>1100010=>98
[4,7,1,8,2,6,3,5]=>1110000=>112
[6,3,1,8,5,2,4,7]=>1110100=>116
[3,5,2,1,8,4,6,7]=>1101000=>104
[7,5,1,2,3,8,6,4]=>1001110=>78
[6,4,1,2,7,3,8,5]=>1011100=>92
[5,2,6,1,3,4,8,7]=>1100001=>97
[7,8,4,5,1,3,2,6]=>1101000=>104
[6,7,1,3,2,5,4,8]=>1101000=>104
[6,7,1,4,3,5,2,8]=>1110000=>112
[7,8,2,3,1,5,4,6]=>1101000=>104
[7,8,2,4,3,5,1,6]=>1110000=>112
[7,8,2,4,1,5,3,6]=>1110000=>112
[1,4,2,6,5,7,3,8]=>0110100=>52
[5,6,1,4,2,7,3,8]=>1110000=>112
[6,7,2,4,1,5,3,8]=>1110000=>112
[6,7,2,4,3,5,1,8]=>1110000=>112
[6,7,2,3,1,5,4,8]=>1101000=>104
[6,7,3,5,4,8,1,2]=>1011000=>88
[2,4,1,6,5,7,3,8]=>1010100=>84
[1,5,2,6,4,7,3,8]=>0111000=>56
[2,5,1,6,4,7,3,8]=>1011000=>88
[3,6,5,7,4,8,1,2]=>1001100=>76
[5,6,2,4,3,7,1,8]=>1110000=>112
[4,5,2,6,1,7,3,8]=>1110000=>112
[4,5,1,6,3,7,2,8]=>1110000=>112
[4,5,3,6,1,7,2,8]=>1110000=>112
[5,6,3,4,1,7,2,8]=>1110000=>112
[5,6,1,4,3,7,2,8]=>1110000=>112
[5,6,1,3,2,7,4,8]=>1101000=>104
[5,6,4,7,1,3,2,8]=>1101000=>104
[6,7,4,5,1,3,2,8]=>1101000=>104
[6,7,5,8,1,3,2,4]=>1100100=>100
[4,5,1,3,2,7,6,8]=>1100010=>98
[4,6,5,7,1,3,2,8]=>1100100=>100
[4,6,1,3,2,7,5,8]=>1100100=>100
[1,4,3,6,2,7,5,8]=>0110100=>52
[3,4,1,6,5,7,2,8]=>1100100=>100
[4,5,2,3,1,7,6,8]=>1100010=>98
[4,5,3,7,6,8,1,2]=>1010010=>82
[4,6,5,7,3,8,1,2]=>1010100=>84
[4,6,5,7,2,3,1,8]=>1100100=>100
[3,5,4,6,1,7,2,8]=>1101000=>104
[3,5,1,6,4,7,2,8]=>1101000=>104
[1,5,3,6,4,7,2,8]=>0111000=>56
[1,5,3,6,2,7,4,8]=>0111000=>56
[3,5,2,6,1,7,4,8]=>1101000=>104
[3,5,2,6,4,7,1,8]=>1101000=>104
[3,4,2,6,1,7,5,8]=>1100100=>100
[4,6,2,3,1,7,5,8]=>1100100=>100
[2,4,3,6,1,7,5,8]=>1010100=>84
[2,5,3,6,4,7,1,8]=>1011000=>88
[2,5,3,6,1,7,4,8]=>1011000=>88
[4,6,2,7,3,5,8,1]=>1110000=>112
[3,6,2,7,5,4,8,1]=>1101100=>108
[4,6,1,7,3,8,2,5]=>1110000=>112
[2,4,7,1,3,8,6,5]=>1000110=>70
[5,2,6,7,4,3,8,1]=>1111000=>120
[3,5,2,7,6,4,8,1]=>1101010=>106
[1,5,7,4,3,8,2,6]=>0111000=>56
[2,5,7,3,1,8,6,4]=>1011010=>90
[1,5,7,2,8,3,6,4]=>0111000=>56
[2,5,7,3,1,8,4,6]=>1011000=>88
[1,5,7,3,4,8,2,6]=>0110000=>48
[5,2,6,7,1,8,4,3]=>1111000=>120
[1,3,7,2,8,5,6,4]=>0101100=>44
[2,3,1,5,8,4,7,6]=>1001010=>74
[2,1,5,6,8,4,3,7]=>1011000=>88
[2,3,1,5,8,6,4,7]=>1001010=>74
[2,4,7,3,1,8,5,6]=>1010100=>84
[1,3,7,2,8,5,4,6]=>0101100=>44
[2,3,1,6,8,5,4,7]=>1001100=>76
[4,6,2,7,1,8,3,5]=>1110000=>112
[1,5,4,3,6,8,2,7]=>0111000=>56
[1,6,4,5,7,8,3,2]=>0111000=>56
[2,5,1,7,8,6,3,4]=>1010010=>82
[1,3,6,2,8,7,4,5]=>0101001=>41
[2,1,5,6,8,4,7,3]=>1011000=>88
[2,4,1,7,8,5,6,3]=>1010100=>84
[1,3,6,2,8,4,7,5]=>0101100=>44
[2,1,5,6,8,7,3,4]=>1010001=>81
[3,6,5,2,7,8,4,1]=>1101100=>108
[6,2,4,7,5,8,3,1]=>1110100=>116
[1,5,7,8,4,2,6,3]=>0111000=>56
[3,7,4,1,8,6,2,5]=>1101010=>106
[3,4,6,8,5,7,2,1]=>1100100=>100
[4,2,5,7,3,1,8,6]=>1110010=>114
[4,5,6,2,8,7,3,1]=>1110001=>113
[2,5,6,8,1,7,4,3]=>1011000=>88
[4,5,6,1,8,7,3,2]=>1110001=>113
[4,5,6,3,1,8,7,2]=>1110001=>113
[4,3,6,2,1,7,5,8]=>1110100=>116
[4,6,3,2,1,7,5,8]=>1110100=>116
[4,6,3,1,7,5,2,8]=>1110100=>116
[4,5,3,7,6,1,8,2]=>1110010=>114
[4,5,1,7,3,8,6,2]=>1110010=>114
[2,5,7,1,4,3,8,6]=>1010010=>82
[4,3,5,7,6,1,8,2]=>1110010=>114
[4,3,6,1,7,5,2,8]=>1110100=>116
[4,3,2,6,1,7,5,8]=>1110100=>116
[5,3,2,1,6,4,7,8]=>1111000=>120
[5,3,1,6,2,7,4,8]=>1111000=>120
[5,1,6,3,2,7,4,8]=>1111000=>120
[2,6,1,4,7,5,3,8]=>1010100=>84
[3,6,1,7,4,2,5,8]=>1101000=>104
[4,6,1,7,5,3,2,8]=>1110100=>116
[5,1,6,3,7,4,2,8]=>1111000=>120
[5,3,6,4,2,1,7,8]=>1111000=>120
[5,3,2,6,4,1,7,8]=>1111000=>120
[5,2,1,6,3,7,4,8]=>1111000=>120
[5,2,6,3,1,7,4,8]=>1111000=>120
[4,2,6,3,1,7,8,5]=>1110100=>116
[3,6,2,1,7,4,5,8]=>1101000=>104
[3,6,2,7,4,1,5,8]=>1101000=>104
[3,5,7,2,8,6,4,1]=>1101010=>106
[2,4,7,1,3,6,5,8]=>1000100=>68
[2,6,1,3,7,5,4,8]=>1001100=>76
[3,6,1,7,5,2,4,8]=>1100100=>100
[5,1,6,2,7,4,3,8]=>1111000=>120
[5,2,6,4,3,1,7,8]=>1111000=>120
[5,2,1,6,4,3,7,8]=>1111000=>120
[5,4,2,1,6,3,7,8]=>1111000=>120
[5,4,2,6,3,1,7,8]=>1111000=>120
[5,4,1,6,2,7,3,8]=>1111000=>120
[5,1,6,4,2,7,3,8]=>1111000=>120
[3,6,1,7,5,4,8,2]=>1101100=>108
[2,6,1,5,4,3,7,8]=>1011000=>88
[3,1,6,2,5,4,7,8]=>1101000=>104
[5,1,6,4,3,2,7,8]=>1111000=>120
[5,4,1,6,3,2,7,8]=>1111000=>120
[5,4,3,1,6,2,7,8]=>1111000=>120
[8,2,1,7,6,5,4,3,9]=>11111100=>252
[7,3,1,6,5,4,8,2]=>1111100=>124
[7,2,8,1,5,4,3,6]=>1111000=>120
[4,2,7,6,5,8,1,3]=>1100110=>102
[3,8,2,6,5,4,1,7]=>1101100=>108
[3,2,8,7,6,5,4,1,9]=>11011110=>222
[9,2,1,8,7,6,5,4,3,10]=>111111100=>508
[8,3,1,7,6,5,4,9,2]=>11111100=>252
[8,2,9,1,6,5,4,3,7]=>11111000=>248
[7,3,2,1,5,4,6,8]=>1111000=>120
[7,2,8,6,1,4,3,5]=>1110010=>114
[5,2,7,6,8,4,1,3]=>1101010=>106
[4,2,8,7,6,5,9,1,3]=>11001110=>206
[3,8,7,2,5,4,1,6]=>1101001=>105
[3,9,2,7,6,5,4,1,8]=>11011100=>220
[3,2,9,8,7,6,5,4,1,10]=>110111110=>446
[9,3,1,8,7,6,5,4,10,2]=>111111100=>508
[9,2,10,1,7,6,5,4,3,8]=>111111000=>504
[8,4,1,7,6,5,9,3,2]=>11111100=>252
[8,3,2,1,6,5,4,7,9]=>11111000=>248
[8,2,9,7,1,5,4,3,6]=>11110010=>242
[7,5,1,6,8,4,3,2]=>1111100=>124
[7,4,2,1,5,6,3,8]=>1111000=>120
[7,2,8,6,5,1,3,4]=>1100110=>102
[5,3,2,6,7,4,1,8]=>1111000=>120
[5,2,8,7,6,9,4,1,3]=>11010110=>214
[4,3,7,2,5,6,1,8]=>1110000=>112
[4,3,2,7,6,5,8,1,9]=>11101100=>236
[4,2,9,8,7,6,5,10,1,3]=>110011110=>414
[3,9,8,2,6,5,4,1,7]=>11011001=>217
[3,10,2,8,7,6,5,4,1,9]=>110111100=>444
[6,7,1,4,3,2,5,8]=>1110000=>112
[3,4,2,6,7,1,5,8]=>1100000=>96
[3,7,1,6,5,2,4,8]=>1100100=>100
[3,5,6,2,4,7,1,8]=>1100000=>96
[3,5,8,7,2,4,6,1]=>1100001=>97
[1,7,8,2,5,4,3,6]=>0111000=>56
[8,7,2,5,4,3,6,1]=>1111001=>121
[2,5,6,4,7,1,3,8]=>1001000=>72
[4,7,1,6,3,5,2,8]=>1110000=>112
[4,5,3,8,7,2,6,1]=>1110001=>113
[1,4,5,3,7,8,2,6]=>0110000=>48
[1,4,8,2,7,6,3,5]=>0110010=>50
[4,7,3,5,1,8,6,2]=>1110010=>114
[8,7,3,6,1,5,4,2]=>1111001=>121
[2,5,8,7,4,6,1,3]=>1001001=>73
[5,4,2,1,7,8,3,6]=>1111000=>120
[4,7,8,3,5,2,1,6]=>1110000=>112
[4,7,6,2,1,8,3,5]=>1110010=>114
[1,4,6,7,3,5,8,2]=>0110000=>48
[8,3,6,2,1,7,5,4]=>1111100=>124
[8,3,7,6,4,2,1,5]=>1111010=>122
[2,3,1,8,4,7,6,5]=>1001110=>78
[2,7,4,8,6,5,1,3]=>1001110=>78
[8,6,5,1,4,7,3,2]=>1110110=>118
[8,5,4,1,7,3,6,2]=>1111100=>124
[6,3,7,2,8,5,4,1]=>1111100=>124
[1,6,3,8,2,7,5,4]=>0111100=>60
[1,7,5,3,8,2,6,4]=>0111100=>60
[6,2,7,4,1,8,5,3]=>1111100=>124
[8,6,3,2,7,5,1,4]=>1110110=>118
[2,7,5,1,3,8,6,4]=>1001110=>78
[1,7,6,4,3,8,2,5]=>0111010=>58
[3,7,2,4,8,6,5,1]=>1100110=>102
[3,4,2,8,7,6,1,5]=>1100011=>99
[5,1,4,3,2,7,8,6]=>1110010=>114
[3,7,8,5,2,4,1,6]=>1100100=>100
[3,7,6,2,4,1,8,5]=>1100110=>102
[1,6,8,2,5,7,4,3]=>0111000=>56
[6,7,2,5,8,4,3,1]=>1111000=>120
[5,2,7,8,4,3,1,6]=>1111000=>120
[5,3,1,7,8,4,2,6]=>1111000=>120
[2,7,6,4,1,3,8,5]=>1001110=>78
[4,1,7,6,3,2,8,5]=>1110110=>118
[8,4,2,7,6,3,1,5]=>1111010=>122
[6,3,1,7,5,2,8,4]=>1111100=>124
[6,2,7,5,3,1,8,4]=>1111100=>124
[1,5,8,2,7,4,6,3]=>0111000=>56
[5,7,2,8,4,6,3,1]=>1111000=>120
[5,7,3,1,8,4,6,2]=>1111000=>120
[8,4,7,3,1,6,5,2]=>1111100=>124
[2,6,8,5,7,4,1,3]=>1001100=>76
[6,5,2,1,7,4,8,3]=>1111100=>124
[5,7,4,6,2,1,8,3]=>1111000=>120
[5,6,4,8,3,7,2,1]=>1111000=>120
[6,7,1,8,3,4,2,5]=>1110000=>112
[7,8,3,5,1,4,2,6]=>1110000=>112
[5,6,2,7,1,8,3,4]=>1110000=>112
[6,7,2,4,3,8,1,5]=>1110000=>112
[2,4,3,8,6,7,1,5]=>1010010=>82
[1,8,2,7,4,5,3,6]=>0111000=>56
[2,5,4,8,3,6,1,7]=>1011000=>88
[2,3,1,8,5,6,4,7]=>1001100=>76
[3,8,5,6,4,7,1,2]=>1001100=>76
[5,7,3,6,4,8,1,2]=>1011000=>88
[5,7,2,3,1,6,4,8]=>1101000=>104
[5,7,2,4,3,6,1,8]=>1110000=>112
[4,6,2,7,1,5,3,8]=>1110000=>112
[4,7,1,6,2,5,3,8]=>1110000=>112
[4,7,1,5,3,6,2,8]=>1110000=>112
[4,6,3,5,1,7,2,8]=>1110000=>112
[6,7,3,5,1,4,2,8]=>1110000=>112
[5,6,3,7,1,4,2,8]=>1110000=>112
[5,7,1,6,3,4,2,8]=>1110000=>112
[1,8,5,6,3,4,2,7]=>0110100=>52
[1,8,5,6,4,7,2,3]=>0101100=>44
[5,7,1,6,4,8,2,3]=>1101000=>104
[4,6,5,8,1,7,2,3]=>1100100=>100
[3,7,1,4,2,8,5,6]=>1100100=>100
[3,5,1,4,2,8,6,7]=>1100010=>98
[4,6,5,8,3,7,1,2]=>1010100=>84
[4,6,5,8,2,3,1,7]=>1100100=>100
[3,4,2,6,5,8,1,7]=>1100100=>100
[3,5,4,6,2,8,1,7]=>1101000=>104
[1,8,3,5,4,7,2,6]=>0111000=>56
[3,4,2,7,1,8,5,6]=>1100100=>100
[4,7,2,3,1,8,5,6]=>1100100=>100
[2,4,3,8,1,7,5,6]=>1010100=>84
[2,5,3,8,4,7,1,6]=>1011000=>88
[2,6,3,8,1,7,4,5]=>1011000=>88
[2,7,1,8,3,6,4,5]=>1011000=>88
[1,2,8,7,4,6,3,5]=>0011001=>25
[3,7,4,8,6,1,5,2]=>1101010=>106
[4,5,1,8,7,6,2,3]=>1100011=>99
[1,5,2,8,7,6,3,4]=>0110011=>51
[5,1,2,8,7,6,3,4]=>1010011=>83
[4,1,5,8,7,6,2,3]=>1100011=>99
[2,3,6,8,7,4,5,1]=>1001001=>73
[2,3,7,8,6,4,5,1]=>1001010=>74
[4,5,7,8,2,6,3,1]=>1110000=>112
[4,5,6,8,2,7,3,1]=>1110000=>112
[5,2,6,8,3,7,4,1]=>1111000=>120
[3,1,6,8,7,4,5,2]=>1101001=>105
[6,1,4,8,7,2,5,3]=>1110001=>113
[6,1,8,4,7,3,5,2]=>1111000=>120
[5,8,3,4,7,1,6,2]=>1110000=>112
[6,8,3,5,7,1,4,2]=>1110000=>112
[3,1,7,8,6,4,5,2]=>1101010=>106
[5,2,7,8,3,6,4,1]=>1111000=>120
[4,6,7,8,2,5,3,1]=>1110000=>112
[7,4,5,2,8,6,3,1]=>1111010=>122
[7,5,8,4,2,6,3,1]=>1111100=>124
[6,8,4,5,2,7,3,1]=>1111000=>120
[6,8,2,5,3,7,4,1]=>1111000=>120
[6,3,8,4,2,7,5,1]=>1111100=>124
[7,2,5,3,8,6,4,1]=>1111010=>122
[3,4,7,5,8,6,2,1]=>1100110=>102
[3,6,7,4,8,5,2,1]=>1101100=>108
[6,7,4,2,8,5,3,1]=>1111100=>124
[4,7,5,2,8,6,3,1]=>1110110=>118
[2,7,5,3,8,6,4,1]=>1011110=>94
[5,6,2,8,3,7,4,1]=>1111000=>120
[5,7,8,3,2,6,4,1]=>1111000=>120
[5,6,8,3,2,7,4,1]=>1111000=>120
[3,6,8,4,2,7,5,1]=>1101100=>108
[1,5,8,2,7,3,6,4]=>0111000=>56
[5,8,4,7,2,3,6,1]=>1101000=>104
[5,6,8,1,3,7,4,2]=>1101000=>104
[6,7,4,8,1,5,3,2]=>1111000=>120
[5,7,2,8,3,6,4,1]=>1111000=>120
[1,7,4,8,6,2,5,3]=>0111010=>58
[7,4,2,8,6,1,5,3]=>1111010=>122
[6,8,5,3,7,2,4,1]=>1110100=>116
[6,8,5,2,3,7,4,1]=>1101100=>108
[7,5,3,8,2,6,4,1]=>1111100=>124
[7,5,2,3,8,6,4,1]=>1101110=>110
[3,7,4,5,8,6,2,1]=>1101010=>106
[6,7,3,4,8,5,2,1]=>1110100=>116
[3,6,4,7,8,5,2,1]=>1101100=>108
[6,4,2,7,8,5,3,1]=>1111100=>124
[7,4,2,5,8,6,3,1]=>1111010=>122
[6,1,8,3,4,7,5,2]=>1110100=>116
[6,8,4,2,5,7,3,1]=>1111000=>120
[7,5,8,3,4,6,2,1]=>1110100=>116
[7,4,5,8,1,6,3,2]=>1111000=>120
[6,3,4,7,8,5,2,1]=>1110100=>116
[7,8,2,3,4,5,6,9,1]=>11000000=>192
[6,1,7,3,4,5,8,2]=>1110000=>112
[5,7,2,3,4,1,8,6]=>1100010=>98
[2,7,1,8,4,5,6,3]=>1011000=>88
[2,6,8,3,4,5,1,7]=>1010000=>80
[2,8,9,3,4,5,6,7,1]=>10100000=>160
[8,9,2,3,4,5,6,7,10,1]=>110000000=>384
[7,1,8,3,4,5,6,9,2]=>11100000=>224
[6,8,2,3,4,5,1,9,7]=>11000010=>194
[6,1,2,7,4,5,8,3]=>1011000=>88
[4,7,2,3,1,5,8,6]=>1100010=>98
[2,7,1,3,8,5,6,4]=>1001100=>76
[2,6,7,8,4,5,3,1]=>1011000=>88
[2,8,1,9,4,5,6,7,3]=>10110000=>176
[2,5,8,3,4,1,6,7]=>1010000=>80
[2,7,9,3,4,5,6,1,8]=>10100000=>160
[2,9,10,3,4,5,6,7,8,1]=>101000000=>320
[8,1,9,3,4,5,6,7,10,2]=>111000000=>448
[7,9,2,3,4,5,6,1,10,8]=>110000010=>386
[7,1,2,8,4,5,6,9,3]=>10110000=>176
[6,7,8,3,4,5,2,9,1]=>11100000=>224
[5,8,2,3,4,1,6,9,7]=>11000010=>194
[5,6,2,7,4,3,8,1]=>1111000=>120
[4,6,7,3,2,5,8,1]=>1110000=>112
[2,6,7,3,8,5,4,1]=>1011100=>92
[2,8,1,3,9,5,6,7,4]=>10011000=>152
[2,6,1,8,4,5,3,7]=>1011000=>88
[2,5,7,8,4,3,6,1]=>1011000=>88
[2,7,8,9,4,5,6,3,1]=>10110000=>176
[2,9,1,10,4,5,6,7,8,3]=>101100000=>352
[2,6,9,3,4,5,1,7,8]=>10100000=>160
[2,8,10,3,4,5,6,7,1,9]=>101000000=>320
[3,6,8,4,5,7,1,2]=>1001000=>72
[1,6,8,4,7,2,3,5]=>0101000=>40
[1,4,5,7,8,2,6,3]=>0110000=>48
[3,4,5,7,8,6,1,2]=>1000010=>66
[3,4,5,7,6,8,1,2]=>1000010=>66
[3,6,7,4,8,5,1,2]=>1001100=>76
[3,4,5,6,8,7,1,2]=>1000001=>65
[1,4,5,8,7,2,3,6]=>0100001=>33
[1,2,5,8,3,6,4,7]=>0011000=>24
[1,4,5,8,6,2,3,7]=>0100010=>34
[7,8,1,4,6,2,3,5]=>1100000=>96
[1,6,7,4,8,2,5,3]=>0111000=>56
[1,4,5,6,8,2,7,3]=>0110000=>48
[1,4,5,8,6,2,7,3]=>0110010=>50
[1,2,5,8,3,4,7,6]=>0010010=>18
[1,6,7,2,3,5,8,4]=>0101000=>40
[7,8,1,2,3,5,4,6]=>1001000=>72
[1,6,7,2,3,5,4,8]=>0101000=>40
[1,4,5,7,6,2,3,8]=>0100010=>34
[1,2,5,7,3,6,4,8]=>0011000=>24
[1,2,5,7,3,6,8,4]=>0011000=>24
[1,6,8,2,3,5,7,4]=>0101000=>40
[1,6,8,4,5,2,3,7]=>0101000=>40
[1,6,8,4,5,2,7,3]=>0111000=>56
[1,6,8,2,3,4,7,5]=>0100100=>36
[1,6,8,2,3,7,4,5]=>0101000=>40
[1,4,5,7,6,2,8,3]=>0110010=>50
[7,8,1,4,5,2,6,3]=>1110000=>112
[7,8,1,2,3,4,6,5]=>1000100=>68
[7,8,1,2,3,6,4,5]=>1001000=>72
[1,6,7,2,3,8,5,4]=>0101100=>44
[1,2,5,6,3,8,7,4]=>0011001=>25
[4,2,1,6,5,3,8,7]=>1110101=>117
[8,2,4,3,1,6,5,7]=>1110100=>116
[6,2,4,3,1,8,7,5]=>1110101=>117
[4,2,6,3,5,1,8,7]=>1110001=>113
[4,6,2,1,5,8,7,3]=>1110001=>113
[4,6,5,2,1,8,7,3]=>1110101=>117
[2,1,6,4,3,8,7,5]=>1011101=>93
[4,8,2,1,6,7,3,5]=>1110000=>112
[6,8,2,1,4,3,7,5]=>1110100=>116
[8,6,2,4,3,1,5,7]=>1110010=>114
[6,8,2,4,3,1,7,5]=>1110100=>116
[6,8,7,2,4,3,1,5]=>1110001=>113
[2,1,8,4,6,5,3,7]=>1011100=>92
[2,1,6,4,8,5,7,3]=>1011100=>92
[4,6,5,2,8,3,7,1]=>1110100=>116
[2,6,4,5,8,3,7,1]=>1011000=>88
[6,4,2,8,3,5,7,1]=>1111000=>120
[8,4,2,6,3,5,1,7]=>1111000=>120
[6,2,4,8,5,3,7,1]=>1110100=>116
[4,2,6,3,5,8,7,1]=>1110001=>113
[4,2,6,3,8,7,5,1]=>1110101=>117
[6,2,4,3,8,5,7,1]=>1110100=>116
[8,2,4,3,6,5,1,7]=>1110100=>116
[8,2,1,4,6,5,3,7]=>1110100=>116
[6,2,1,4,8,5,7,3]=>1110100=>116
[6,2,1,8,7,4,3,5]=>1111001=>121
[6,2,1,8,4,3,7,5]=>1111100=>124
[8,4,6,5,2,1,3,7]=>1101100=>108
[6,4,8,5,2,1,7,3]=>1111100=>124
[6,4,8,5,7,2,1,3]=>1101100=>108
[4,6,8,7,5,2,1,3]=>1100101=>101
[2,1,4,8,6,7,3,5]=>1010010=>82
[2,6,8,7,4,5,1,3]=>1001001=>73
[2,4,8,6,7,5,1,3]=>1000110=>70
[4,2,8,6,5,7,1,3]=>1100110=>102
[8,2,6,4,5,1,3,7]=>1101000=>104
[8,4,6,2,1,5,3,7]=>1111000=>120
[4,6,8,7,2,1,5,3]=>1110001=>113
[4,6,5,8,2,1,7,3]=>1110100=>116
[2,1,6,8,4,3,7,5]=>1011100=>92
[6,8,7,4,2,1,3,5]=>1101001=>105
[2,8,6,4,7,1,3,5]=>1001010=>74
[4,8,6,2,1,7,3,5]=>1110010=>114
[2,8,5,3,1,4,6,7]=>1010100=>84
[2,7,4,8,3,5,1,6]=>1011000=>88
[2,7,4,8,3,5,6,1]=>1011000=>88
[7,2,8,4,3,5,1,6]=>1111000=>120
[8,4,2,1,5,3,6,7]=>1111000=>120
[8,5,1,4,2,3,6,7]=>1100100=>100
[8,4,1,5,3,2,6,7]=>1111000=>120
[6,7,3,8,4,2,5,1]=>1111000=>120
[6,7,3,8,4,2,1,5]=>1111000=>120
[7,1,8,4,3,5,2,6]=>1111000=>120
[1,7,8,4,3,5,2,6]=>0111000=>56
[7,1,4,8,3,5,2,6]=>1110000=>112
[7,4,8,1,5,6,2,3]=>1101000=>104
[7,1,8,4,3,5,6,2]=>1111000=>120
[6,7,3,1,8,4,5,2]=>1111000=>120
[6,7,3,8,4,5,2,1]=>1111000=>120
[6,7,1,4,8,3,5,2]=>1110000=>112
[6,7,4,1,3,8,2,5]=>1101000=>104
[1,6,7,8,4,3,2,5]=>0111000=>56
[7,2,1,8,4,5,3,6]=>1111000=>120
[6,2,7,1,8,4,3,5]=>1111000=>120
[6,2,7,8,4,3,1,5]=>1111000=>120
[6,2,7,8,4,3,5,1]=>1111000=>120
[2,6,7,4,8,3,5,1]=>1011000=>88
[2,6,7,4,8,3,1,5]=>1011000=>88
[7,8,1,3,6,2,4,5]=>1100000=>96
[1,2,7,8,6,3,4,5]=>0010010=>18
[2,6,7,1,8,5,3,4]=>1010100=>84
[2,6,7,8,5,3,1,4]=>1010100=>84
[2,6,7,8,5,3,4,1]=>1010100=>84
[6,2,7,8,4,5,3,1]=>1111000=>120
[7,2,1,8,4,5,6,3]=>1111000=>120
[1,7,2,8,4,5,6,3]=>0111000=>56
[3,7,8,1,5,6,2,4]=>1100000=>96
[6,3,7,8,1,5,2,4]=>1110000=>112
[6,7,1,2,8,5,3,4]=>1010100=>84
[1,6,7,8,4,2,5,3]=>0111000=>56
[3,1,2,7,6,5,8,4]=>1001110=>78
[6,1,2,4,7,3,8,5]=>1010100=>84
[1,7,5,3,6,4,8,2]=>0111100=>60
[5,1,2,6,7,4,8,3]=>1011000=>88
[4,1,5,7,3,2,6,8]=>1110000=>112
[4,6,1,7,3,2,5,8]=>1110000=>112
[4,6,1,8,3,2,5,7]=>1110000=>112
[4,7,1,8,3,5,2,6]=>1110000=>112
[4,1,7,8,6,2,3,5]=>1100010=>98
[1,6,5,7,8,3,4,2]=>0110100=>52
[1,6,5,8,7,3,4,2]=>0110101=>53
[4,1,8,7,6,2,3,5]=>1100011=>99
[4,8,1,7,3,5,2,6]=>1110000=>112
[4,8,1,6,3,2,5,7]=>1110000=>112
[4,7,1,6,3,2,5,8]=>1110000=>112
[6,1,2,3,7,5,4,8]=>1001100=>76
[6,8,1,5,3,7,2,4]=>1110000=>112
[8,7,5,2,4,1,6,3]=>1110101=>117
[1,5,7,3,4,8,6,2]=>0110010=>50
[1,5,8,3,4,7,6,2]=>0110010=>50
[7,8,5,2,4,1,6,3]=>1110100=>116
[7,1,2,3,5,6,4,8]=>1001000=>72
[8,1,2,3,5,6,4,7]=>1001000=>72
[8,1,2,3,5,4,7,6]=>1001010=>74
[7,1,8,4,6,3,2,5]=>1111000=>120
[6,8,2,4,3,1,5,7]=>1110000=>112
[6,7,2,4,3,1,5,8]=>1110000=>112
[3,8,1,2,4,5,7,6]=>1000010=>66
[3,7,1,8,6,4,2,5]=>1101010=>106
[1,6,4,3,7,5,8,2]=>0111100=>60
[3,1,2,6,7,5,8,4]=>1001100=>76
[3,8,1,7,6,4,2,5]=>1101010=>106
[7,6,2,4,3,1,5,8]=>1110010=>114
[8,7,2,4,3,5,1,6]=>1110001=>113
[8,1,7,4,6,3,2,5]=>1111000=>120
[8,1,7,6,5,3,2,4]=>1110110=>118
[1,5,7,3,4,6,8,2]=>0110000=>48
[8,7,2,5,3,6,1,4]=>1110001=>113
[7,1,2,3,5,4,8,6]=>1001010=>74
[6,1,2,3,5,8,4,7]=>1001000=>72
[6,1,2,3,5,7,4,8]=>1001000=>72
[5,1,2,3,7,6,4,8]=>1001010=>74
[5,1,2,3,8,6,4,7]=>1001010=>74
[1,5,6,3,4,7,8,2]=>0110000=>48
[8,6,5,2,4,7,1,3]=>1100110=>102
[7,6,2,5,3,1,8,4]=>1111010=>122
[7,4,5,2,3,8,6,1]=>1101010=>106
[8,2,3,7,4,5,1,6]=>1101000=>104
[8,4,7,3,2,5,1,6]=>1111000=>120
[5,4,6,3,1,2,8,7]=>1011001=>89
[4,6,2,3,1,5,8,7]=>1100001=>97
[7,2,3,4,5,8,6,1]=>1100010=>98
[8,2,3,4,5,7,1,6]=>1100000=>96
[7,3,4,6,8,5,1,2]=>1010100=>84
[4,7,3,2,8,6,1,5]=>1110010=>114
[3,7,4,5,1,8,6,2]=>1101010=>106
[3,8,2,6,7,4,5,1]=>1101000=>104
[4,8,1,5,6,7,3,2]=>1110000=>112
[5,8,2,4,6,7,1,3]=>1100000=>96
[6,8,1,3,4,2,7,5]=>1100100=>100
[5,8,2,4,3,1,7,6]=>1110010=>114
[2,1,7,6,8,5,3,4]=>1010110=>86
[3,7,6,1,8,5,2,4]=>1100110=>102
[4,7,2,3,8,5,1,6]=>1100100=>100
[7,1,3,6,4,8,5,2]=>1101100=>108
[7,6,1,4,8,5,2,3]=>1100110=>102
[6,2,3,7,8,5,4,1]=>1101100=>108
[6,2,3,8,4,5,1,7]=>1101000=>104
[7,2,3,6,8,4,1,5]=>1101000=>104
[8,2,3,5,7,1,4,6]=>1100000=>96
[6,4,8,3,5,1,7,2]=>1111000=>120
[5,4,8,3,6,7,1,2]=>1011000=>88
[3,5,1,8,4,6,7,2]=>1101000=>104
[3,6,1,8,4,5,2,7]=>1101000=>104
[4,6,8,3,5,2,7,1]=>1110000=>112
[5,7,8,3,2,4,1,6]=>1110000=>112
[4,8,2,3,5,6,1,7]=>1100000=>96
[6,8,2,3,1,4,5,7]=>1100000=>96
[5,2,7,4,8,3,1,6]=>1111000=>120
[3,7,8,2,1,4,6,5]=>1100100=>100
[3,7,5,2,8,4,1,6]=>1101100=>108
[6,3,2,4,1,8,7,5]=>1110101=>117
[7,2,3,4,8,5,1,6]=>1100100=>100
[5,7,3,1,4,2,6,8]=>1110000=>112
[3,7,4,1,8,2,5,6]=>1101000=>104
[6,3,7,4,8,1,2,5]=>1011000=>88
[8,3,7,4,2,6,1,5]=>1111000=>120
[3,7,4,1,5,6,2,8]=>1101000=>104
[1,8,3,2,4,5,7,6]=>0110010=>50
[8,4,1,6,3,7,5,2]=>1111100=>124
[8,7,4,2,1,6,3,5]=>1111001=>121
[8,3,5,2,7,4,1,6]=>1111000=>120
[1,5,3,8,7,6,4,2]=>0111011=>59
[7,2,4,8,1,3,6,5]=>1100100=>100
[1,2,8,7,5,6,3,4]=>0010101=>21
[3,1,8,6,7,5,2,4]=>1100110=>102
[1,4,8,6,5,7,2,3]=>0100110=>38
[1,6,5,4,8,2,3,7]=>0101100=>44
[5,1,6,8,3,4,2,7]=>1110000=>112
[6,2,5,1,7,4,3,8]=>1111000=>120
[5,2,1,8,7,4,3,6]=>1111001=>121
[5,2,6,3,8,1,4,7]=>1110000=>112
[5,2,8,3,4,6,1,7]=>1110000=>112
[6,2,8,4,3,1,7,5]=>1111100=>124
[7,2,8,1,3,6,5,4]=>1101100=>108
[7,3,8,1,4,6,2,5]=>1110000=>112
[1,7,8,5,4,6,3,2]=>0111100=>60
[1,5,8,4,6,3,7,2]=>0111000=>56
[5,3,8,4,1,2,7,6]=>1011010=>90
[5,8,4,3,6,2,1,7]=>1111000=>120
[1,8,3,6,5,2,7,4]=>0111100=>60
[1,8,2,4,7,6,5,3]=>0110110=>54
[3,8,1,4,6,7,5,2]=>1100100=>100
[3,8,2,5,1,7,6,4]=>1101010=>106
[4,3,8,2,5,1,6,7]=>1110000=>112
[8,2,4,3,5,1,7,6]=>1110010=>114
[8,2,1,4,6,5,7,3]=>1110100=>116
[8,1,3,4,5,7,6,2]=>1100010=>98
[6,1,5,2,4,7,8,3]=>1110000=>112
[4,1,8,5,2,7,6,3]=>1110110=>118
[4,8,5,1,3,6,2,7]=>1100100=>100
[3,6,1,5,7,2,8,4]=>1101000=>104
[6,3,1,2,8,5,7,4]=>1011100=>92
[4,1,8,2,3,7,5,6]=>1100100=>100
[5,3,8,7,2,1,4,6]=>1110001=>113
[6,7,3,5,1,4,8,2]=>1110000=>112
[6,4,7,5,8,2,3,1]=>1101100=>108
[5,7,8,4,2,6,3,1]=>1111000=>120
[5,4,7,6,2,8,3,1]=>1111010=>122
[5,7,4,1,6,8,3,2]=>1111000=>120
[6,8,4,5,7,1,3,2]=>1101000=>104
[5,8,4,6,1,7,3,2]=>1111000=>120
[5,6,1,4,7,8,3,2]=>1110000=>112
[5,6,7,2,4,8,3,1]=>1110000=>112
[5,6,3,7,4,8,2,1]=>1111000=>120
[5,3,6,7,4,8,2,1]=>1111000=>120
[5,3,2,8,6,7,4,1]=>1111010=>122
[5,4,8,2,6,7,3,1]=>1111000=>120
[5,4,8,6,2,7,3,1]=>1111010=>122
[6,4,8,5,7,2,3,1]=>1101100=>108
[7,4,8,5,6,2,1,3]=>1101100=>108
[4,6,8,5,7,2,3,1]=>1100100=>100
[5,6,8,2,4,7,3,1]=>1110000=>112
[5,6,3,8,4,7,2,1]=>1111000=>120
[4,6,3,5,8,7,2,1]=>1110001=>113
[4,6,3,2,8,7,5,1]=>1110101=>117
[5,6,3,8,2,7,4,1]=>1111000=>120
[3,6,5,8,7,2,4,1]=>1100101=>101
[5,3,6,8,2,7,4,1]=>1111000=>120
[4,3,7,2,8,6,5,1]=>1110110=>118
[5,4,7,2,6,8,3,1]=>1111000=>120
[5,3,2,7,6,8,4,1]=>1111010=>122
[6,7,3,8,5,2,4,1]=>1110100=>116
[6,3,2,7,5,4,8,1]=>1111100=>124
[6,4,7,2,5,3,8,1]=>1111000=>120
[6,2,7,5,1,4,8,3]=>1110100=>116
[2,7,8,5,3,6,1,4]=>1010100=>84
[6,3,7,8,4,2,5,1]=>1111000=>120
[3,5,7,8,4,6,2,1]=>1101000=>104
[5,3,7,8,4,6,2,1]=>1111000=>120
[5,7,8,2,4,6,3,1]=>1110000=>112
[2,5,8,4,3,7,6,1]=>1011010=>90
[2,6,8,4,7,3,5,1]=>1011000=>88
[3,7,4,8,6,2,1,5]=>1101010=>106
[3,6,4,8,7,2,5,1]=>1101001=>105
[3,5,4,8,2,7,6,1]=>1101010=>106
[4,3,7,5,8,6,2,1]=>1110110=>118
[4,5,7,3,8,6,2,1]=>1110010=>114
[3,5,6,8,4,7,2,1]=>1101000=>104
[6,3,1,8,7,5,4,2]=>1111101=>125
[5,4,8,1,7,6,3,2]=>1111010=>122
[5,8,4,1,7,6,3,2]=>1111010=>122
[7,5,4,1,8,6,3,2]=>1111110=>126
[8,5,4,1,7,6,3,2]=>1111110=>126
[1,8,2,5,6,3,4,7]=>0110000=>48
[7,2,8,4,5,1,3,6]=>1101000=>104
[1,3,7,5,6,2,4,8]=>0100100=>36
[1,6,7,4,3,5,2,8]=>0111000=>56
[1,8,5,2,3,7,4,6]=>0101100=>44
[1,8,2,5,3,6,7,4]=>0111000=>56
[2,6,8,4,3,5,7,1]=>1011000=>88
[7,5,8,3,2,1,6,4]=>1111100=>124
[7,2,8,4,1,5,6,3]=>1111000=>120
[7,5,8,1,2,6,3,4]=>1010100=>84
[1,6,7,4,3,2,8,5]=>0111100=>60
[1,5,2,6,4,7,8,3]=>0111000=>56
[1,5,4,6,2,3,7,8]=>0101000=>40
[6,2,5,7,1,4,8,3]=>1110000=>112
[6,5,4,3,8,1,7,2]=>1111100=>124
[7,3,6,8,5,2,4,1]=>1110100=>116
[2,7,8,3,6,5,1,4]=>1010100=>84
[2,7,8,5,4,6,3,1]=>1011100=>92
[2,6,5,8,3,4,1,7]=>1010100=>84
[2,6,5,7,3,4,1,8]=>1010100=>84
[6,2,5,7,4,1,3,8]=>1101000=>104
[6,2,5,8,4,1,3,7]=>1101000=>104
[2,7,8,4,6,1,3,5]=>1001000=>72
[6,1,2,8,3,7,4,5]=>1011000=>88
[6,1,2,8,5,4,7,3]=>1011100=>92
[6,2,5,7,8,1,3,4]=>1100000=>96
[1,5,4,2,6,7,3,8]=>0111000=>56
[2,6,5,7,3,8,1,4]=>1010100=>84
[1,6,2,7,5,8,4,3]=>0111100=>60
[1,3,2,7,8,5,6,4]=>0101100=>44
[1,6,2,4,8,7,3,5]=>0110001=>49
[6,5,2,1,8,7,3,4]=>1110101=>117
[2,6,5,3,7,8,4,1]=>1011100=>92
[6,2,5,3,8,4,7,1]=>1111000=>120
[6,5,2,3,8,7,1,4]=>1100101=>101
[5,4,1,2,3,8,6,7]=>1001010=>74
[5,1,4,2,3,7,8,6]=>1100010=>98
[1,5,4,2,6,3,8,7]=>0111001=>57
[5,1,6,3,8,2,7,4]=>1111000=>120
[9,8,7,6,5,4,3,1,2,10]=>101111110=>382
[8,7,6,5,4,2,1,3,9]=>11011110=>222
[8,7,6,5,4,1,3,2,9]=>11011110=>222
[1,9,8,7,6,5,3,2,4]=>01101111=>111
[1,8,7,6,2,5,4,3]=>0111011=>59
[1,9,8,7,6,5,2,4,3]=>01101111=>111
[1,10,9,8,7,6,5,4,2,3]=>010111111=>191
[2,1,9,8,7,6,5,4,3]=>10111111=>191
[1,2,9,8,7,6,5,4,3]=>00111111=>63
[3,2,1,9,8,7,6,5,4]=>11011111=>223
[1,3,2,9,8,7,6,5,4]=>01011111=>95
[1,2,3,9,8,7,6,5,4]=>00011111=>31
[4,3,2,1,9,8,7,6,5]=>11101111=>239
[1,4,3,2,9,8,7,6,5]=>01101111=>111
[2,1,4,3,9,8,7,6,5]=>10101111=>175
[1,2,4,3,9,8,7,6,5]=>00101111=>47
[1,2,3,4,9,8,7,6,5]=>00001111=>15
[1,5,4,3,2,9,8,7,6]=>01110111=>119
[2,1,5,4,3,9,8,7,6]=>10110111=>183
[1,2,5,4,3,9,8,7,6]=>00110111=>55
[1,3,2,5,4,9,8,7,6]=>01010111=>87
[1,2,3,5,4,9,8,7,6]=>00010111=>23
[1,2,3,4,5,9,8,7,6]=>00000111=>7
[1,3,2,6,5,4,9,8,7]=>01011011=>91
[1,2,3,6,5,4,9,8,7]=>00011011=>27
[2,1,4,3,6,5,9,8,7]=>10101011=>171
[1,2,4,3,6,5,9,8,7]=>00101011=>43
[1,2,3,4,6,5,9,8,7]=>00001011=>11
[1,2,3,5,4,7,6,9,8]=>00010101=>21
[1,2,3,4,5,7,6,9,8]=>00000101=>5
[1,2,10,9,8,7,6,5,4,3]=>001111111=>127
[3,2,1,10,9,8,7,6,5,4]=>110111111=>447
[1,3,2,10,9,8,7,6,5,4]=>010111111=>191
[1,2,3,10,9,8,7,6,5,4]=>000111111=>63
[1,4,3,2,10,9,8,7,6,5]=>011011111=>223
[1,2,4,3,10,9,8,7,6,5]=>001011111=>95
[1,2,3,4,10,9,8,7,6,5]=>000011111=>31
[1,5,4,3,2,10,9,8,7,6]=>011101111=>239
[2,1,5,4,3,10,9,8,7,6]=>101101111=>367
[1,2,5,4,3,10,9,8,7,6]=>001101111=>111
[1,3,2,5,4,10,9,8,7,6]=>010101111=>175
[1,2,3,5,4,10,9,8,7,6]=>000101111=>47
[1,2,6,5,4,3,10,9,8,7]=>001110111=>119
[3,2,1,6,5,4,10,9,8,7]=>110110111=>439
[1,3,2,6,5,4,10,9,8,7]=>010110111=>183
[1,2,3,6,5,4,10,9,8,7]=>000110111=>55
[1,2,4,3,6,5,10,9,8,7]=>001010111=>87
[1,2,3,4,6,5,10,9,8,7]=>000010111=>23
[1,2,3,4,5,6,10,9,8,7]=>000000111=>7
[1,4,3,2,7,6,5,10,9,8]=>011011011=>219
[2,1,4,3,7,6,5,10,9,8]=>101011011=>347
[1,2,4,3,7,6,5,10,9,8]=>001011011=>91
[1,2,3,4,7,6,5,10,9,8]=>000011011=>27
[1,3,2,5,4,7,6,10,9,8]=>010101011=>171
[1,2,3,5,4,7,6,10,9,8]=>000101011=>43
[1,2,3,4,5,7,6,10,9,8]=>000001011=>11
[1,2,3,4,5,6,7,10,9,8]=>000000011=>3
[1,2,4,3,6,5,8,7,10,9]=>001010101=>85
[1,2,3,4,6,5,8,7,10,9]=>000010101=>21
[1,2,3,4,5,6,8,7,10,9]=>000000101=>5
[5,2,7,4,1,6,3,8]=>1111000=>120
[4,7,3,1,5,6,2,8]=>1110000=>112
[5,8,3,4,1,6,7,2]=>1110000=>112
[1,7,8,4,5,6,2,3]=>0101000=>40
[1,5,8,4,2,6,7,3]=>0111000=>56
[1,6,3,8,5,2,7,4]=>0111100=>60
[5,2,3,7,1,6,4,8]=>1101000=>104
[6,2,3,7,5,1,4,8]=>1100100=>100
[1,7,3,4,8,6,2,5]=>0110010=>50
[6,2,3,4,8,1,7,5]=>1100100=>100
[8,7,3,2,1,6,5,4]=>1111101=>125
[8,7,6,3,1,5,2,4]=>1110011=>115
[8,5,1,7,2,3,4,6]=>1100100=>100
[9,8,7,6,5,2,1,4,3]=>11101111=>239
[9,8,7,3,2,1,6,5,4]=>11111011=>251
[9,8,7,6,3,1,5,2,4]=>11100111=>231
[9,4,3,2,1,8,7,6,5]=>11111110=>254
[9,8,4,3,1,7,6,2,5]=>11110101=>245
[9,8,7,2,1,4,3,6,5]=>11101011=>235
[9,8,7,4,1,6,2,3,5]=>11010011=>211
[5,4,3,1,9,8,7,2,6]=>11110011=>243
[9,5,2,1,8,4,3,7,6]=>11111100=>252
[9,8,3,1,5,2,7,4,6]=>11110001=>241
[6,3,1,9,5,2,8,4,7]=>11111000=>248
[6,5,1,9,8,2,3,4,7]=>11001001=>201
[9,2,1,4,3,6,5,8,7]=>11101010=>234
[9,6,1,8,2,3,4,5,7]=>11000100=>196
[5,1,7,2,9,3,4,6,8]=>11100000=>224
[7,1,9,2,3,4,5,6,8]=>11000000=>192
[10,9,8,7,6,5,2,1,4,3]=>111011111=>479
[10,9,8,7,3,2,1,6,5,4]=>111110111=>503
[10,9,8,7,6,3,1,5,2,4]=>111001111=>463
[10,9,4,3,2,1,8,7,6,5]=>111111101=>509
[10,9,8,4,3,1,7,6,2,5]=>111101011=>491
[10,9,8,7,2,1,4,3,6,5]=>111010111=>471
[10,9,8,7,4,1,6,2,3,5]=>110100111=>423
[10,5,4,3,1,9,8,7,2,6]=>111110110=>502
[10,9,5,2,1,8,4,3,7,6]=>111111001=>505
[10,9,5,4,1,8,7,2,3,6]=>110110101=>437
[10,9,8,3,1,5,2,7,4,6]=>111100011=>483
[6,5,2,1,10,9,4,3,8,7]=>111110101=>501
[6,5,4,1,10,9,8,2,3,7]=>110110011=>435
[10,3,2,1,6,5,4,9,8,7]=>111110110=>502
[10,6,5,1,9,8,2,3,4,7]=>110011010=>410
[10,9,2,1,4,3,6,5,8,7]=>111010101=>469
[10,9,6,1,8,2,3,4,5,7]=>110001001=>393
[4,3,1,7,6,2,10,9,5,8]=>111011001=>473
[7,2,1,10,4,3,6,5,9,8]=>111110010=>498
[7,4,1,10,6,2,9,3,5,8]=>111101000=>488
[7,6,1,10,9,2,3,4,5,8]=>110001001=>393
[10,5,1,7,2,9,3,4,6,8]=>111010000=>464
[10,7,1,9,2,3,4,5,6,8]=>110000100=>388
[4,1,6,2,8,3,10,5,7,9]=>111010000=>464
[6,1,8,2,10,3,4,5,7,9]=>111000000=>448
[8,1,10,2,3,4,5,6,7,9]=>110000000=>384
[2,4,8,5,3,7,1,6]=>1010100=>84
[2,4,1,8,5,3,7,6]=>1010110=>86
[2,4,8,6,3,1,7,5]=>1010110=>86
[3,4,6,8,2,1,7,5]=>1100100=>100
[3,4,1,5,8,2,7,6]=>1100010=>98
[8,1,4,5,3,2,7,6]=>1110010=>114
[3,4,1,5,2,8,7,6]=>1100011=>99
[3,4,6,2,1,8,7,5]=>1100101=>101
[3,5,6,2,1,7,8,4]=>1101000=>104
[3,4,6,2,7,8,1,5]=>1100000=>96
[8,1,4,6,3,7,2,5]=>1110000=>112
[8,1,4,6,3,7,5,2]=>1110100=>116
[3,5,6,2,1,7,4,8]=>1101000=>104
[8,1,5,6,7,3,4,2]=>1110000=>112
[8,1,5,6,7,3,2,4]=>1110000=>112
[3,4,1,6,8,7,2,5]=>1100001=>97
[3,5,6,1,8,7,2,4]=>1100001=>97
[2,1,3,8,6,7,4,5]=>1001010=>74
[8,1,3,2,6,7,5,4]=>1101100=>108
[2,3,8,6,7,1,5,4]=>1001010=>74
[2,4,1,8,6,7,5,3]=>1010110=>86
[2,5,8,6,1,7,4,3]=>1011010=>90
[3,5,6,1,8,7,4,2]=>1101001=>105
[3,4,1,6,8,7,5,2]=>1100101=>101
[3,4,6,8,7,1,5,2]=>1100001=>97
[8,1,4,6,2,7,5,3]=>1110100=>116
[3,5,1,6,7,8,4,2]=>1101000=>104
[4,5,6,1,7,8,3,2]=>1110000=>112
[4,5,6,1,7,3,8,2]=>1110000=>112
[3,5,1,6,7,4,8,2]=>1101000=>104
[8,1,5,6,7,4,2,3]=>1101000=>104
[8,1,5,6,7,4,3,2]=>1111000=>120
[3,5,1,6,7,4,2,8]=>1101000=>104
[4,5,6,1,7,3,2,8]=>1110000=>112
[6,5,8,7,4,3,1,2]=>1011101=>93
[6,4,2,7,8,5,1,3]=>1101100=>108
[6,1,4,8,7,5,2,3]=>1100101=>101
[1,6,4,8,7,5,2,3]=>0101101=>45
[1,8,6,2,4,7,3,5]=>0110010=>50
[8,1,6,2,4,7,3,5]=>1110000=>112
[7,6,2,1,4,8,3,5]=>1110010=>114
[6,4,1,7,8,5,2,3]=>1101100=>108
[7,6,1,2,4,8,3,5]=>1010010=>82
[7,6,1,3,4,8,2,5]=>1100010=>98
[8,1,6,3,4,7,2,5]=>1110000=>112
[1,8,6,3,4,7,2,5]=>0110010=>50
[1,7,2,5,4,8,3,6]=>0111000=>56
[7,1,2,5,4,8,3,6]=>1011000=>88
[2,7,1,5,4,8,3,6]=>1011000=>88
[2,8,6,3,4,7,1,5]=>1010010=>82
[2,8,6,1,4,7,3,5]=>1010010=>82
[7,2,1,5,4,8,3,6]=>1111000=>120
[1,2,7,5,4,8,3,6]=>0011100=>28
[3,2,7,5,4,8,1,6]=>1101100=>108
[2,5,8,4,7,3,1,6]=>1011000=>88
[2,3,7,5,4,8,1,6]=>1001100=>76
[6,8,3,2,4,7,1,5]=>1110000=>112
[3,7,2,5,4,8,1,6]=>1101000=>104
[3,1,7,5,4,8,2,6]=>1101100=>108
[1,3,7,5,4,8,2,6]=>0101100=>44
[1,5,8,4,7,3,2,6]=>0111000=>56
[5,1,8,4,7,3,2,6]=>1111000=>120
[5,8,2,4,7,3,1,6]=>1110000=>112
[6,8,4,3,7,5,1,2]=>1011100=>92
[8,7,5,6,2,1,4,3]=>1110101=>117
[8,5,2,4,7,3,1,6]=>1110100=>116
[8,1,5,4,7,3,2,6]=>1111000=>120
[1,8,5,4,7,3,2,6]=>0111100=>60
[1,7,3,5,4,8,2,6]=>0111000=>56
[8,6,3,1,4,7,2,5]=>1110010=>114
[8,6,4,2,7,5,1,3]=>1101110=>110
[8,6,4,1,7,2,5,3]=>1111010=>122
[5,3,7,4,6,8,2,1]=>1111000=>120
[4,1,3,2,7,8,5,6]=>1100100=>100
[1,4,3,2,7,8,5,6]=>0110100=>52
[2,4,3,1,7,8,5,6]=>1010100=>84
[2,7,3,5,4,8,1,6]=>1011000=>88
[2,8,5,4,7,3,1,6]=>1011100=>92
[5,7,3,4,6,8,2,1]=>1110000=>112
[8,2,5,4,7,3,1,6]=>1111000=>120
[7,2,3,5,4,8,1,6]=>1101000=>104
[3,2,1,4,7,8,5,6]=>1100100=>100
[8,1,7,6,4,3,5,2]=>1111010=>122
[8,6,4,5,2,7,1,3]=>1101010=>106
[7,1,8,6,4,3,5,2]=>1111010=>122
[7,4,2,5,1,6,3,8]=>1111000=>120
[7,3,6,5,2,1,4,8]=>1110100=>116
[8,3,6,5,2,1,7,4]=>1111100=>124
[7,3,6,5,2,1,8,4]=>1111100=>124
[7,5,8,6,4,2,1,3]=>1101110=>110
[5,4,2,8,1,3,7,6]=>1101010=>106
[5,8,2,6,4,1,3,7]=>1101000=>104
[6,4,2,5,1,8,3,7]=>1111000=>120
[6,3,5,2,1,4,7,8]=>1110000=>112
[2,5,8,6,3,1,4,7]=>1010010=>82
[2,3,5,8,1,4,7,6]=>1000010=>66
[2,3,6,8,1,5,7,4]=>1001000=>72
[6,3,8,5,2,7,1,4]=>1110100=>116
[6,3,7,5,2,1,4,8]=>1110100=>116
[2,5,7,6,3,1,4,8]=>1010010=>82
[2,8,7,6,3,1,5,4]=>1011011=>91
[2,5,8,7,6,3,1,4]=>1010011=>83
[2,4,8,1,6,5,7,3]=>1010100=>84
[2,8,7,3,6,1,4,5]=>1010001=>81
[7,3,5,2,1,4,6,8]=>1110000=>112
[8,4,2,5,1,3,7,6]=>1101010=>106
[2,3,6,8,1,4,7,5]=>1000100=>68
[2,7,8,6,3,1,4,5]=>1010010=>82
[7,3,8,5,2,1,4,6]=>1110100=>116
[2,3,6,1,8,4,7,5]=>1001100=>76
[2,8,6,3,1,4,5,7]=>1010010=>82
[8,3,5,2,1,4,6,7]=>1110000=>112
[2,4,8,1,3,7,5,6]=>1000100=>68
[2,5,8,1,7,3,6,4]=>1011000=>88
[2,8,1,5,7,3,6,4]=>1011000=>88
[3,8,6,1,4,7,5,2]=>1100110=>102
[2,6,8,1,5,7,3,4]=>1010000=>80
[2,7,1,5,8,3,4,6]=>1010000=>80
[3,7,5,8,1,2,6,4]=>1001100=>76
[7,3,6,1,2,8,4,5]=>1011000=>88
[7,4,8,1,6,5,2,3]=>1101100=>108
[7,4,5,8,6,1,2,3]=>1001010=>74
[6,8,4,5,1,7,2,3]=>1101000=>104
[5,1,8,7,6,2,3,4]=>1100011=>99
[8,5,1,6,2,7,3,4]=>1110100=>116
[4,6,1,8,7,5,2,3]=>1100101=>101
[4,5,1,8,7,2,3,6]=>1100001=>97
[3,4,8,7,1,2,5,6]=>1000001=>65
[6,4,8,7,1,2,5,3]=>1011001=>89
[5,6,8,3,7,1,4,2]=>1110000=>112
[6,4,7,1,2,8,5,3]=>1011100=>92
[6,5,1,2,7,3,8,4]=>1011100=>92
[6,5,1,8,2,7,3,4]=>1110100=>116
[6,5,1,8,7,2,3,4]=>1100101=>101
[6,5,1,7,2,8,3,4]=>1110100=>116
[6,5,1,7,2,3,8,4]=>1101100=>108
[5,6,8,7,4,1,2,3]=>1001001=>73
[6,8,5,7,4,1,2,3]=>1001100=>76
[7,3,8,1,5,2,4,6]=>1110000=>112
[4,1,7,5,3,6,2,8]=>1110100=>116
[1,8,4,2,3,6,7,5]=>0101100=>44
[2,5,8,3,4,6,7,1]=>1010000=>80
[4,1,7,2,3,6,8,5]=>1100100=>100
[4,6,2,1,5,7,8,3]=>1110000=>112
[4,5,2,3,1,7,8,6]=>1100010=>98
[3,2,6,7,4,1,8,5]=>1101100=>108
[5,6,2,7,1,4,8,3]=>1110000=>112
[6,2,3,8,1,7,4,5]=>1101000=>104
[2,6,8,3,4,7,1,5]=>1010000=>80
[4,6,2,7,5,1,3,8]=>1100100=>100
[2,6,3,1,8,4,5,7]=>1011000=>88
[2,4,3,7,8,1,5,6]=>1010000=>80
[5,3,2,7,4,8,1,6]=>1111000=>120
[5,1,2,7,6,8,4,3]=>1011010=>90
[2,6,3,1,8,7,4,5]=>1011001=>89
[3,5,6,4,7,8,1,2]=>1001000=>72
[5,3,6,4,2,8,7,1]=>1111001=>121
[5,4,2,3,7,8,6,1]=>1101010=>106
[4,1,8,2,5,7,3,6]=>1110000=>112
[3,1,8,4,7,2,5,6]=>1101000=>104
[6,2,3,8,4,1,7,5]=>1101100=>108
[2,6,4,1,5,3,8,7]=>1011001=>89
[3,2,7,6,4,1,8,5]=>1101110=>110
[2,5,4,1,7,6,8,3]=>1011010=>90
[6,2,1,4,7,8,3,5]=>1110000=>112
[2,6,5,1,7,8,3,4]=>1010100=>84
[4,7,5,2,1,6,3,8]=>1110100=>116
[4,2,3,7,8,1,6,5]=>1100100=>100
[5,8,3,1,7,2,4,6]=>1110000=>112
[6,8,3,1,5,2,4,7]=>1110000=>112
[4,2,7,1,6,3,5,8]=>1110000=>112
[5,1,7,4,2,6,3,8]=>1111000=>120
[6,8,4,2,1,5,3,7]=>1111000=>120
[6,8,5,2,1,7,3,4]=>1110100=>116
[5,8,2,1,4,7,3,6]=>1110000=>112
[6,8,3,2,5,1,7,4]=>1111000=>120
[6,8,4,3,1,5,7,2]=>1111000=>120
[6,8,4,2,1,5,7,3]=>1111000=>120
[6,8,3,2,1,4,5,7]=>1110000=>112
[5,1,7,3,2,4,6,8]=>1110000=>112
[5,2,1,8,3,6,7,4]=>1111000=>120
[4,3,8,1,6,2,7,5]=>1110100=>116
[5,4,7,2,1,6,8,3]=>1111000=>120
[5,2,1,7,3,4,8,6]=>1110010=>114
[6,4,3,1,7,5,8,2]=>1111100=>124
[5,3,1,7,2,6,8,4]=>1111000=>120
[3,2,1,7,6,4,8,5]=>1101110=>110
[4,2,1,6,5,8,3,7]=>1110100=>116
[4,2,1,8,5,7,3,6]=>1110100=>116
[7,4,3,1,8,5,6,2]=>1111100=>124
[7,4,2,1,8,5,6,3]=>1111100=>124
[6,3,2,1,7,4,5,8]=>1111000=>120
[6,4,2,1,7,5,3,8]=>1111100=>124
[7,5,2,1,8,6,3,4]=>1110110=>118
[6,1,8,4,2,7,3,5]=>1111000=>120
[6,2,1,8,3,7,4,5]=>1111000=>120
[5,2,1,7,3,6,4,8]=>1111000=>120
[5,3,2,7,6,1,4,8]=>1110010=>114
[5,3,2,8,6,1,4,7]=>1110010=>114
[6,3,2,8,7,1,4,5]=>1110001=>113
[4,2,8,1,7,3,5,6]=>1110000=>112
[4,3,8,7,2,1,5,6]=>1110001=>113
[2,1,5,8,4,7,3,6]=>1011000=>88
[4,3,2,5,8,1,6,7]=>1110000=>112
[4,3,2,5,7,1,6,8]=>1110000=>112
[4,3,1,6,2,7,5,8]=>1110100=>116
[4,3,1,7,2,8,5,6]=>1110100=>116
[5,4,1,7,2,8,6,3]=>1111010=>122
[6,5,3,1,7,8,4,2]=>1111100=>124
[6,4,2,1,7,8,3,5]=>1111000=>120
[5,4,2,1,6,7,3,8]=>1111000=>120
[5,3,2,1,6,7,4,8]=>1111000=>120
[6,4,2,1,7,8,5,3]=>1111100=>124
[5,3,2,6,8,1,7,4]=>1111000=>120
[3,2,1,4,8,7,5,6]=>1100101=>101
[3,2,1,4,6,8,5,7]=>1100100=>100
[4,3,2,6,1,7,8,5]=>1110100=>116
[5,3,2,1,6,7,8,4]=>1111000=>120
[8,6,1,4,5,7,2,3]=>1100010=>98
[3,8,6,4,5,7,1,2]=>1001010=>74
[5,2,8,3,7,4,6,1]=>1111000=>120
[6,2,8,5,4,7,3,1]=>1111100=>124
[1,8,6,3,7,4,2,5]=>0111010=>58
[1,8,6,5,7,2,3,4]=>0100110=>38
[5,2,8,4,3,6,7,1]=>1111000=>120
[5,4,2,7,3,6,1,8]=>1111000=>120
[5,4,2,8,3,6,1,7]=>1111000=>120
[6,5,3,8,4,7,2,1]=>1111100=>124
[5,2,8,4,3,7,1,6]=>1111000=>120
[6,2,8,3,7,4,1,5]=>1111000=>120
[5,4,2,7,3,1,8,6]=>1111010=>122
[6,4,3,7,1,2,8,5]=>1011100=>92
[6,4,3,8,1,2,7,5]=>1011100=>92
[7,6,3,8,4,2,1,5]=>1111010=>122
[7,2,8,5,1,6,3,4]=>1110100=>116
[7,2,8,4,3,1,5,6]=>1111000=>120
[7,5,3,8,4,2,6,1]=>1111100=>124
[6,4,2,7,3,1,5,8]=>1111000=>120
[7,6,4,8,2,3,5,1]=>1101010=>106
[7,6,8,1,2,5,3,4]=>1010010=>82
[5,3,1,7,8,4,6,2]=>1111000=>120
[5,3,2,7,8,4,6,1]=>1111000=>120
[5,4,1,6,3,8,7,2]=>1111001=>121
[6,5,1,7,8,2,3,4]=>1100100=>100
[6,3,1,7,8,4,2,5]=>1111000=>120
[5,4,1,7,3,8,2,6]=>1111000=>120
[6,3,2,7,8,4,1,5]=>1111000=>120
[6,1,5,4,3,2,8,7]=>1111001=>121
[8,7,6,1,3,5,2,4]=>1100011=>99
[8,1,6,5,7,3,4,2]=>1110100=>116
[8,4,1,5,7,6,2,3]=>1101010=>106
[7,8,6,2,5,3,1,4]=>1110010=>114
[6,1,3,5,2,8,4,7]=>1101000=>104
[8,1,3,7,4,2,5,6]=>1101000=>104
[4,3,8,7,5,2,1,6]=>1110101=>117
[6,7,1,8,5,3,4,2]=>1110100=>116
[2,7,6,4,8,3,5,1]=>1011010=>90
[6,5,2,7,1,4,8,3]=>1110100=>116
[7,4,6,1,3,2,8,5]=>1101100=>108
[7,5,2,1,3,8,4,6]=>1101100=>108
[8,4,7,6,3,1,5,2]=>1111010=>122
[7,4,1,5,6,3,8,2]=>1111000=>120
[3,4,7,5,6,1,8,2]=>1100100=>100
[2,4,7,5,6,3,8,1]=>1010100=>84
[5,4,1,7,6,2,8,3]=>1111010=>122
[3,5,6,7,1,4,8,2]=>1100000=>96
[2,7,6,1,3,4,8,5]=>1000110=>70
[5,7,2,1,6,3,8,4]=>1111000=>120
[4,7,2,5,6,3,8,1]=>1110000=>112
[8,6,2,5,7,1,4,3]=>1110010=>114
[2,7,4,5,3,8,1,6]=>1011000=>88
[6,8,7,1,3,2,5,4]=>1101001=>105
[2,8,6,5,7,1,4,3]=>1010110=>86
[5,8,4,3,2,6,7,1]=>1111000=>120
[1,8,5,6,2,4,7,3]=>0110100=>52
[8,1,5,6,2,4,7,3]=>1110000=>112
[6,4,8,1,3,2,7,5]=>1101100=>108
[1,4,5,2,8,6,7,3]=>0110010=>50
[2,3,1,7,8,6,4,5]=>1001010=>74
[3,5,7,6,2,8,1,4]=>1100010=>98
[4,5,6,1,2,8,7,3]=>1010001=>81
[5,4,1,2,8,6,7,3]=>1011010=>90
[8,4,5,2,1,6,7,3]=>1111000=>120
[3,1,2,6,8,4,7,5]=>1001100=>76
[5,1,3,2,7,8,4,6]=>1101000=>104
[1,5,4,2,7,8,3,6]=>0111000=>56
[4,6,7,8,3,1,5,2]=>1110000=>112
[7,6,2,8,4,3,1,5]=>1111010=>122
[5,2,8,6,3,4,7,1]=>1110010=>114
[5,6,8,4,3,2,7,1]=>1111000=>120
[5,3,8,1,7,2,4,6]=>1110000=>112
[3,6,7,8,4,2,1,5]=>1101000=>104
[6,5,1,8,4,3,7,2]=>1111100=>124
[6,3,8,4,2,1,7,5]=>1111100=>124
[2,5,8,3,1,6,7,4]=>1011000=>88
[3,5,8,1,2,6,7,4]=>1001000=>72
[3,2,8,1,5,6,7,4]=>1101000=>104
[1,5,8,3,2,6,7,4]=>0111000=>56
[1,3,8,6,2,4,7,5]=>0100110=>38
[3,2,7,8,4,6,1,5]=>1101000=>104
[5,1,8,3,4,6,7,2]=>1110000=>112
[4,8,7,2,1,6,3,5]=>1110001=>113
[2,8,1,6,3,4,7,5]=>1010100=>84
[8,3,4,2,1,6,5,7]=>1110100=>116
[6,4,7,2,5,8,1,3]=>1101000=>104
[8,4,5,2,6,3,1,7]=>1111000=>120
[2,4,5,8,3,6,1,7]=>1010000=>80
[3,5,8,1,2,6,4,7]=>1001000=>72
[8,6,1,3,5,2,4,7]=>1100010=>98
[8,5,1,2,6,4,3,7]=>1011100=>92
[5,8,6,1,3,4,2,7]=>1100010=>98
[5,8,4,6,1,3,2,7]=>1101000=>104
[7,3,4,5,2,8,1,6]=>1110000=>112
[5,7,4,3,6,1,8,2]=>1111000=>120
[2,6,4,3,7,8,5,1]=>1011100=>92
[7,4,1,8,3,2,5,6]=>1111000=>120
[6,2,1,7,8,4,5,3]=>1111000=>120
[7,6,3,1,5,4,8,2]=>1111010=>122
[2,4,6,5,1,7,8,3]=>1010100=>84
[1,4,7,5,6,8,2,3]=>0100100=>36
[1,4,7,6,5,8,2,3]=>0100110=>38
[3,7,5,2,4,6,8,1]=>1100100=>100
[5,6,1,7,4,2,8,3]=>1111000=>120
[3,7,4,8,1,2,6,5]=>1001100=>76
[6,3,5,7,8,1,4,2]=>1110000=>112
[3,6,5,7,1,8,4,2]=>1101100=>108
[6,4,7,8,2,1,3,5]=>1101000=>104
[6,7,3,8,4,1,2,5]=>1011000=>88
[2,7,8,3,4,6,1,5]=>1010000=>80
[7,5,8,4,1,3,2,6]=>1101100=>108
[4,7,5,8,3,1,2,6]=>1010100=>84
[3,6,7,4,8,1,2,5]=>1001000=>72
[5,7,3,1,6,8,4,2]=>1111000=>120
[2,7,3,1,8,6,4,5]=>1011010=>90
[2,8,4,3,1,5,7,6]=>1011010=>90
[4,8,1,2,3,5,7,6]=>1000010=>66
[7,6,8,1,2,4,3,5]=>1010010=>82
[7,6,8,5,1,3,2,4]=>1100110=>102
[2,8,5,4,6,1,7,3]=>1011100=>92
[8,4,5,2,7,6,1,3]=>1101010=>106
[8,7,6,4,1,2,5,3]=>1011011=>91
[6,7,1,3,5,2,8,4]=>1101000=>104
[5,7,2,3,6,8,1,4]=>1100000=>96
[8,5,3,2,7,6,1,4]=>1110110=>118
[3,4,6,7,5,8,1,2]=>1000100=>68
[3,4,5,7,6,1,8,2]=>1100010=>98
[2,6,4,5,7,8,3,1]=>1011000=>88
[3,8,5,1,6,2,7,4]=>1101100=>108
[2,5,1,3,6,8,7,4]=>1001001=>73
[5,4,6,1,3,7,8,2]=>1101000=>104
[6,3,5,7,1,4,8,2]=>1110000=>112
[7,3,4,6,8,1,5,2]=>1110000=>112
[7,5,2,8,4,1,3,6]=>1101100=>108
[3,7,6,4,1,8,2,5]=>1101010=>106
[3,7,8,4,1,5,6,2]=>1101000=>104
[8,7,5,4,2,1,6,3]=>1111101=>125
[3,5,8,6,7,4,2,1]=>1101010=>106
[5,8,1,6,7,3,4,2]=>1110000=>112
[6,7,2,5,1,8,4,3]=>1111000=>120
[5,8,2,1,6,7,4,3]=>1111000=>120
[4,5,2,8,6,3,7,1]=>1110010=>114
[3,6,1,2,5,8,4,7]=>1001000=>72
[1,4,5,8,2,3,7,6]=>0100010=>34
[1,2,6,4,5,8,3,7]=>0011000=>24
[1,5,2,4,6,8,3,7]=>0110000=>48
[3,6,1,5,8,2,4,7]=>1100000=>96
[2,6,5,1,4,8,3,7]=>1010100=>84
[5,2,6,1,4,8,3,7]=>1110000=>112
[2,5,1,8,4,7,3,6]=>1011000=>88
[2,7,1,4,3,6,8,5]=>1010100=>84
[1,3,7,5,8,2,4,6]=>0100100=>36
[8,2,1,5,7,3,4,6]=>1110000=>112
[2,5,4,8,1,3,7,6]=>1001010=>74
[2,4,1,3,8,6,7,5]=>1000110=>70
[8,4,3,7,1,2,6,5]=>1011100=>92
[1,7,3,5,8,2,6,4]=>0111000=>56
[1,8,4,2,6,7,3,5]=>0111000=>56
[3,1,6,8,7,2,4,5]=>1100001=>97
[7,2,1,6,8,3,4,5]=>1110000=>112
[3,1,7,6,8,2,4,5]=>1100010=>98
[4,1,7,2,6,8,3,5]=>1110000=>112
[5,1,7,2,3,6,8,4]=>1101000=>104
[7,2,1,6,3,5,8,4]=>1111000=>120
[2,6,1,7,3,5,8,4]=>1011000=>88
[7,1,2,5,3,6,8,4]=>1011000=>88
[5,4,1,2,7,8,3,6]=>1011000=>88
[8,1,3,2,4,6,7,5]=>1100100=>100
[7,3,1,2,4,6,8,5]=>1010100=>84
[1,8,3,4,7,2,5,6]=>0110000=>48
[3,5,8,1,2,7,4,6]=>1001000=>72
[3,6,8,1,2,4,7,5]=>1000100=>68
[4,1,3,8,7,2,6,5]=>1100101=>101
[1,3,7,4,8,2,6,5]=>0101100=>44
[1,4,6,8,2,3,7,5]=>0100100=>36
[3,5,8,1,7,2,4,6]=>1100000=>96
[2,6,8,1,7,3,4,5]=>1010000=>80
[6,1,5,8,2,3,7,4]=>1101000=>104
[1,8,3,2,7,5,6,4]=>0111100=>60
[3,1,7,2,8,5,6,4]=>1101100=>108
[2,6,7,3,8,1,5,4]=>1011000=>88
[8,4,1,7,3,6,2,5]=>1111000=>120
[3,7,2,8,6,1,5,4]=>1101010=>106
[6,2,3,8,7,1,5,4]=>1101001=>105
[5,1,7,8,4,2,6,3]=>1111000=>120
[5,1,8,7,4,2,6,3]=>1111001=>121
[4,7,2,8,3,6,5,1]=>1110100=>116
[4,1,7,8,5,3,6,2]=>1110100=>116
[5,1,7,4,8,3,6,2]=>1111000=>120
[4,1,8,7,5,3,6,2]=>1110101=>117
[4,8,2,7,3,6,5,1]=>1110100=>116
[4,7,2,6,3,5,8,1]=>1110000=>112
[6,8,2,4,3,7,5,1]=>1110100=>116
[6,7,2,4,3,8,5,1]=>1110100=>116
[6,8,2,7,3,5,4,1]=>1111000=>120
[3,8,7,2,4,1,5,6]=>1100001=>97
[3,7,8,2,4,1,5,6]=>1100000=>96
[3,6,8,2,4,5,7,1]=>1100000=>96
[3,6,7,2,4,5,8,1]=>1100000=>96
[6,5,1,4,2,3,8,7]=>1100101=>101
[8,6,1,7,2,5,4,3]=>1111010=>122
[8,7,6,1,2,3,5,4]=>1001011=>75
[5,4,3,1,6,2,8,7]=>1111001=>121
[8,3,4,7,1,6,2,5]=>1110000=>112
[6,3,4,1,8,5,2,7]=>1110100=>116
[3,8,5,2,7,1,6,4]=>1101100=>108
[2,8,6,7,5,3,4,1]=>1010110=>86
[2,1,8,7,3,6,4,5]=>1011001=>89
[3,6,5,8,2,4,7,1]=>1100100=>100
[5,2,1,8,7,3,4,6]=>1110001=>113
[6,5,2,7,4,3,8,1]=>1111100=>124
[4,6,5,2,7,3,8,1]=>1110100=>116
[6,2,7,1,8,3,5,4]=>1111000=>120
[2,7,5,4,8,3,6,1]=>1011100=>92
[8,7,5,1,2,6,4,3]=>1011101=>93
[8,4,3,2,7,1,6,5]=>1111100=>124
[7,1,6,2,3,8,5,4]=>1101100=>108
[4,8,1,3,2,7,5,6]=>1100100=>100
[3,8,1,4,7,5,2,6]=>1100100=>100
[6,3,8,7,4,5,1,2]=>1011001=>89
[6,1,4,8,5,2,3,7]=>1100100=>100
[8,5,7,4,6,2,1,3]=>1101100=>108
[4,6,7,8,2,3,5,1]=>1100000=>96
[8,7,4,6,2,1,5,3]=>1111001=>121
[7,6,1,3,5,2,8,4]=>1101010=>106
[5,8,3,2,4,6,1,7]=>1110000=>112
[8,2,6,5,3,1,7,4]=>1111100=>124
[4,8,7,6,5,2,3,1]=>1100111=>103
[2,1,8,6,4,3,7,5]=>1011110=>94
[2,1,7,6,5,3,8,4]=>1011110=>94
[2,7,6,1,3,5,8,4]=>1001010=>74
[7,2,5,4,6,1,8,3]=>1111000=>120
[4,7,6,1,2,5,8,3]=>1010010=>82
[2,4,1,7,6,8,5,3]=>1010110=>86
[3,4,1,7,8,5,6,2]=>1100100=>100
[7,5,4,3,1,8,6,2]=>1111110=>126
[8,5,6,2,7,3,1,4]=>1110100=>116
[8,4,2,5,6,1,7,3]=>1111000=>120
[6,3,5,4,1,7,8,2]=>1111000=>120
[4,1,3,6,7,5,8,2]=>1100100=>100
[1,7,5,3,8,2,4,6]=>0110100=>52
[1,7,2,4,5,8,3,6]=>0110000=>48
[8,2,5,3,1,6,4,7]=>1111000=>120
[1,7,4,5,8,3,2,6]=>0111000=>56
[2,6,4,7,8,3,5,1]=>1011000=>88
[2,6,4,7,8,3,1,5]=>1011000=>88
[1,2,6,4,7,8,3,5]=>0011000=>24
[2,7,4,5,8,1,3,6]=>1001000=>72
[2,7,5,3,1,8,4,6]=>1011100=>92
[6,1,4,7,8,3,5,2]=>1110000=>112
[3,6,4,7,8,1,5,2]=>1101000=>104
[4,3,6,7,1,8,5,2]=>1110100=>116
[4,3,6,7,1,8,2,5]=>1110000=>112
[3,6,4,7,8,1,2,5]=>1001000=>72
[2,3,6,4,1,7,8,5]=>1001100=>76
[4,7,2,1,5,3,8,6]=>1110010=>114
[3,7,4,5,2,1,8,6]=>1101010=>106
[1,3,6,4,7,2,8,5]=>0101100=>44
[3,6,4,7,2,8,5,1]=>1101100=>108
[5,1,3,4,2,7,8,6]=>1100010=>98
[5,4,2,1,3,7,8,6]=>1101010=>106
[6,1,7,3,8,2,5,4]=>1111000=>120
[1,6,7,3,8,2,5,4]=>0111000=>56
[6,1,4,7,8,5,2,3]=>1100100=>100
[6,3,2,1,7,8,5,4]=>1111100=>124
[6,2,7,3,1,8,5,4]=>1111100=>124
[6,2,4,7,8,1,5,3]=>1110000=>112
[2,6,7,3,1,8,5,4]=>1011100=>92
[8,6,5,1,3,2,4,7]=>1100110=>102
[6,4,7,8,3,2,5,1]=>1111000=>120
[3,8,4,7,1,2,5,6]=>1001000=>72
[8,6,1,2,5,4,3,7]=>1011010=>90
[4,8,6,1,5,3,2,7]=>1110010=>114
[5,8,6,4,1,3,2,7]=>1101010=>106
[8,3,6,4,5,2,1,7]=>1111000=>120
[6,8,5,7,4,2,3,1]=>1101100=>108
[2,3,8,7,1,6,4,5]=>1001001=>73
[4,3,7,8,1,6,2,5]=>1110000=>112
[3,5,8,7,4,1,2,6]=>1001001=>73
[7,3,8,4,1,2,5,6]=>1011000=>88
[4,8,1,2,7,3,5,6]=>1010000=>80
[6,8,1,2,7,4,5,3]=>1011000=>88
[5,6,8,4,1,3,7,2]=>1101000=>104
[8,5,4,7,1,6,3,2]=>1111100=>124
[2,5,8,7,3,6,4,1]=>1011001=>89
[2,4,8,7,5,6,1,3]=>1000101=>69
[3,7,4,8,5,6,2,1]=>1101100=>108
[6,4,8,7,5,1,2,3]=>1001101=>77
[3,8,5,2,4,6,7,1]=>1100100=>100
[5,7,1,8,4,6,2,3]=>1101000=>104
[6,3,8,7,2,1,4,5]=>1110001=>113
[2,3,7,8,5,6,1,4]=>1000100=>68
[3,7,6,8,5,1,2,4]=>1000110=>70
[2,6,7,8,5,1,3,4]=>1000100=>68
[2,4,7,8,1,6,3,5]=>1010000=>80
[5,4,7,8,2,6,3,1]=>1111000=>120
[2,8,3,4,1,5,7,6]=>1010010=>82
[6,8,3,4,1,2,7,5]=>1010100=>84
[6,8,7,1,5,2,3,4]=>1100001=>97
[5,8,3,2,7,6,1,4]=>1110010=>114
[2,5,3,1,8,6,7,4]=>1011010=>90
[4,5,3,2,8,6,7,1]=>1110010=>114
[3,5,8,6,1,4,7,2]=>1100010=>98
[2,8,5,6,1,4,7,3]=>1010100=>84
[4,8,6,1,5,2,7,3]=>1110010=>114
[5,8,2,3,7,6,1,4]=>1100010=>98
[4,6,8,5,3,2,7,1]=>1110100=>116
[2,6,4,8,5,1,7,3]=>1011100=>92
[7,6,4,8,5,2,1,3]=>1101110=>110
[3,4,8,6,5,2,7,1]=>1100110=>102
[3,4,8,7,5,6,2,1]=>1100101=>101
[7,5,3,2,8,6,1,4]=>1110110=>118
[2,5,1,3,8,6,7,4]=>1001010=>74
[4,5,1,2,8,6,7,3]=>1010010=>82
[5,4,8,1,3,6,7,2]=>1101000=>104
[8,3,5,4,1,6,7,2]=>1111000=>120
[7,3,4,8,5,6,1,2]=>1010100=>84
[6,1,5,7,2,4,8,3]=>1110000=>112
[7,4,5,1,2,3,8,6]=>1001010=>74
[7,4,3,1,2,8,5,6]=>1011100=>92
[8,4,7,6,2,1,5,3]=>1111010=>122
[8,4,6,5,7,1,3,2]=>1101100=>108
[7,2,1,4,5,8,3,6]=>1110000=>112
[7,4,1,6,3,5,8,2]=>1111000=>120
[3,5,7,6,4,1,8,2]=>1101010=>106
[4,7,5,2,1,3,8,6]=>1100110=>102
[5,7,2,3,6,4,8,1]=>1101000=>104
[8,6,2,3,7,1,4,5]=>1100010=>98
[5,7,2,4,8,3,6,1]=>1110000=>112
[1,7,2,4,8,6,3,5]=>0110010=>50
[7,6,1,5,4,8,3,2]=>1111010=>122
[4,7,3,2,1,8,5,6]=>1110100=>116
[3,1,7,2,5,8,4,6]=>1101000=>104
[4,8,7,6,1,2,5,3]=>1010011=>83
[7,8,6,1,3,2,5,4]=>1101010=>106
[2,8,6,7,4,1,3,5]=>1001010=>74
[5,8,6,4,2,3,1,7]=>1101010=>106
[2,8,3,1,6,5,4,7]=>1011100=>92
[3,8,1,2,5,7,4,6]=>1001000=>72
[6,8,5,4,2,7,3,1]=>1111100=>124
[6,8,3,1,2,4,5,7]=>1010000=>80
[4,6,8,7,3,1,5,2]=>1110001=>113
[6,5,3,7,8,4,1,2]=>1011100=>92
[4,1,3,8,7,5,6,2]=>1100101=>101
[6,2,7,4,8,1,3,5]=>1101000=>104
[8,4,5,2,1,6,3,7]=>1111000=>120
[4,3,2,6,8,1,7,5]=>1110100=>116
[7,1,5,6,3,8,2,4]=>1110000=>112
[5,1,2,4,7,8,3,6]=>1010000=>80
[3,5,4,2,8,1,6,7]=>1101000=>104
[5,1,3,8,4,2,7,6]=>1101010=>106
[6,2,8,7,3,5,4,1]=>1111001=>121
[7,1,8,4,3,6,5,2]=>1111100=>124
[3,6,8,7,4,1,2,5]=>1001001=>73
[5,6,8,1,7,3,2,4]=>1110000=>112
[3,1,6,8,7,4,2,5]=>1101001=>105
[7,4,6,8,2,1,5,3]=>1111000=>120
[6,5,8,4,3,1,2,7]=>1011100=>92
[2,5,8,3,6,7,4,1]=>1011000=>88
[8,5,1,3,7,4,6,2]=>1101100=>108
[1,5,8,3,7,4,2,6]=>0111000=>56
[3,8,2,7,1,5,6,4]=>1101000=>104
[5,8,2,3,6,4,1,7]=>1101000=>104
[6,8,2,3,4,7,5,1]=>1100100=>100
[7,5,1,8,4,2,6,3]=>1111100=>124
[3,6,8,5,2,7,4,1]=>1101100=>108
[2,1,6,5,4,8,3,7]=>1011100=>92
[2,1,7,8,4,6,5,3]=>1011100=>92
[2,1,7,4,3,5,8,6]=>1011010=>90
[3,5,7,8,4,6,1,2]=>1001000=>72
[7,5,2,8,4,6,3,1]=>1111100=>124
[7,8,2,4,3,1,5,6]=>1110000=>112
[7,6,3,8,1,5,4,2]=>1111010=>122
[7,2,4,1,6,3,8,5]=>1110100=>116
[8,4,3,1,7,5,2,6]=>1111100=>124
[7,3,1,4,6,8,5,2]=>1110100=>116
[4,3,8,7,1,6,5,2]=>1110101=>117
[4,7,1,8,5,2,6,3]=>1110100=>116
[5,2,4,3,6,8,1,7]=>1110000=>112
[3,8,6,5,4,1,2,7]=>1001110=>78
[4,7,5,6,3,8,2,1]=>1110100=>116
[4,2,7,5,8,3,6,1]=>1110100=>116
[5,8,2,7,3,4,6,1]=>1110000=>112
[6,7,2,4,5,3,8,1]=>1110000=>112
[6,3,2,1,4,8,5,7]=>1110100=>116
[6,2,3,1,4,7,8,5]=>1100100=>100
[5,2,1,3,6,4,8,7]=>1101001=>105
[7,1,8,3,5,4,6,2]=>1111000=>120
[7,1,2,4,8,5,6,3]=>1010100=>84
[7,2,1,3,4,5,8,6]=>1100010=>98
[8,7,3,5,4,2,1,6]=>1111001=>121
[8,4,6,5,3,2,1,7]=>1111100=>124
[5,1,6,4,3,2,8,7]=>1111001=>121
[8,3,7,1,4,6,5,2]=>1110100=>116
[2,8,3,6,4,7,5,1]=>1011100=>92
[6,2,1,7,5,8,3,4]=>1110100=>116
[6,3,8,7,5,2,1,4]=>1110101=>117
[6,7,2,1,5,8,4,3]=>1111000=>120
[9,1,8,7,6,5,4,3,2]=>11111110=>254
[7,6,8,1,5,4,3,2]=>1111010=>122
[7,1,9,8,6,5,4,3,2]=>11111101=>253
[6,1,9,8,7,5,4,3,2]=>11111011=>251
[5,4,8,7,6,1,3,2]=>1101011=>107
[5,1,9,8,7,6,4,3,2]=>11110111=>247
[4,1,9,8,7,6,5,3,2]=>11101111=>239
[3,1,9,8,7,6,5,4,2]=>11011111=>223
[10,1,9,8,7,6,5,4,3,2]=>111111110=>510
[9,8,1,7,6,5,4,3,2]=>11111101=>253
[7,6,1,8,5,4,3,2]=>1111110=>126
[8,7,9,1,6,5,4,3,2]=>11111010=>250
[8,1,10,9,7,6,5,4,3,2]=>111111101=>509
[6,5,8,1,7,4,3,2]=>1111100=>124
[7,6,9,8,1,5,4,3,2]=>11110101=>245
[7,1,10,9,8,6,5,4,3,2]=>111111011=>507
[6,5,9,8,7,1,4,3,2]=>11101011=>235
[6,1,10,9,8,7,5,4,3,2]=>111110111=>503
[6,5,8,7,4,1,3,2]=>1101101=>109
[5,4,9,8,7,6,1,3,2]=>11010111=>215
[5,1,10,9,8,7,6,4,3,2]=>111101111=>495
[4,3,9,8,7,6,5,1,2]=>10101111=>175
[4,1,10,9,8,7,6,5,3,2]=>111011111=>479
[3,2,9,8,7,6,5,4,1]=>11011111=>223
[3,1,10,9,8,7,6,5,4,2]=>110111111=>447
[1,6,4,8,3,2,5,7]=>0111000=>56
[1,8,3,5,6,2,4,7]=>0110000=>48
[1,4,8,5,6,2,3,7]=>0100100=>36
[1,2,8,5,3,7,4,6]=>0011100=>28
[6,1,4,8,2,3,5,7]=>1100000=>96
[8,7,2,5,6,1,4,3]=>1110001=>113
[1,8,2,5,4,7,3,6]=>0111000=>56
[5,7,4,1,2,3,8,6]=>1001010=>74
[1,7,4,2,5,3,8,6]=>0111010=>58
[6,7,4,2,1,3,8,5]=>1101100=>108
[6,4,3,8,5,7,1,2]=>1011100=>92
[7,4,3,6,2,1,5,8]=>1111000=>120
[7,2,5,3,4,1,6,8]=>1110000=>112
[8,3,7,4,5,6,1,2]=>1011000=>88
[2,7,4,3,1,5,6,8]=>1011000=>88
[6,8,4,2,3,1,5,7]=>1101000=>104
[3,7,5,2,4,1,6,8]=>1100100=>100
[7,1,3,2,8,4,5,6]=>1101000=>104
[2,1,7,4,8,3,5,6]=>1011000=>88
[5,2,8,6,1,3,4,7]=>1100010=>98
[2,8,3,1,4,5,6,7]=>1010000=>80
[7,4,8,2,3,1,5,6]=>1101000=>104
[4,2,7,3,1,5,6,8]=>1110000=>112
[8,3,7,2,1,4,5,6]=>1110000=>112
[6,5,2,4,7,1,3,8]=>1100100=>100
[6,5,7,4,1,8,2,3]=>1101100=>108
[7,6,4,5,1,8,2,3]=>1101010=>106
[8,6,4,1,3,7,2,5]=>1101010=>106
[6,4,3,1,8,2,5,7]=>1111000=>120
[7,4,1,2,8,3,5,6]=>1011000=>88
[4,8,1,3,5,7,2,6]=>1100000=>96
[7,8,4,1,3,6,2,5]=>1101000=>104
[6,5,8,1,3,7,2,4]=>1100100=>100
[5,3,6,1,8,2,4,7]=>1110000=>112
[4,7,3,1,8,2,5,6]=>1110000=>112
[8,3,1,7,2,4,5,6]=>1110000=>112
[2,8,1,4,7,3,5,6]=>1010000=>80
[3,1,8,5,4,7,6,2]=>1101110=>110
[4,1,5,8,3,7,6,2]=>1110010=>114
[4,1,5,3,8,7,6,2]=>1110011=>115
[4,5,1,8,2,7,6,3]=>1110010=>114
[4,8,5,3,1,7,6,2]=>1110110=>118
[4,5,2,8,1,7,6,3]=>1110010=>114
[4,5,2,1,8,7,6,3]=>1110011=>115
[5,6,2,7,8,1,4,3]=>1110000=>112
[4,6,2,8,7,1,5,3]=>1110001=>113
[4,8,6,3,7,1,5,2]=>1110010=>114
[4,8,6,3,7,5,1,2]=>1010110=>86
[4,6,8,2,7,5,1,3]=>1100100=>100
[4,6,2,8,7,5,1,3]=>1100101=>101
[5,6,2,7,4,1,8,3]=>1111000=>120
[5,6,7,2,3,1,8,4]=>1101000=>104
[5,6,7,2,8,3,1,4]=>1110000=>112
[5,6,7,2,1,8,3,4]=>1110000=>112
[5,6,7,2,1,3,8,4]=>1101000=>104
[5,6,1,7,8,2,4,3]=>1110000=>112
[5,6,1,7,2,4,8,3]=>1110000=>112
[5,1,6,7,8,3,4,2]=>1110000=>112
[4,1,6,8,7,3,5,2]=>1110001=>113
[3,1,8,6,7,5,4,2]=>1101110=>110
[4,1,6,8,7,5,3,2]=>1110101=>117
[5,1,6,7,4,8,3,2]=>1111000=>120
[5,6,1,7,8,4,2,3]=>1101000=>104
[4,6,8,1,7,5,2,3]=>1100100=>100
[4,8,6,1,7,5,3,2]=>1110110=>118
[5,6,7,1,8,3,2,4]=>1110000=>112
[5,6,7,1,3,8,2,4]=>1100000=>96
[5,6,7,1,3,2,8,4]=>1101000=>104
[5,6,7,3,1,2,8,4]=>1011000=>88
[5,6,7,3,8,1,2,4]=>1010000=>80
[5,6,8,7,4,2,1,3]=>1101001=>105
[5,6,7,3,8,2,1,4]=>1110000=>112
[7,4,6,2,3,5,1,8]=>1101000=>104
[1,4,8,6,3,2,5,7]=>0110010=>50
[7,4,1,6,3,8,5,2]=>1111100=>124
[7,6,3,1,5,8,4,2]=>1111010=>122
[6,4,2,5,7,3,1,8]=>1111000=>120
[4,2,5,7,6,3,1,8]=>1110010=>114
[7,4,5,6,1,8,3,2]=>1111000=>120
[4,1,5,8,6,3,2,7]=>1110010=>114
[3,2,7,6,1,8,5,4]=>1101110=>110
[4,7,5,1,6,8,2,3]=>1100100=>100
[8,6,5,1,2,7,4,3]=>1011110=>94
[3,2,5,1,4,8,7,6]=>1100011=>99
[8,5,4,1,3,2,7,6]=>1101110=>110
[1,4,2,3,6,8,7,5]=>0100101=>37
[5,4,8,3,7,1,6,2]=>1111000=>120
[4,7,1,8,2,5,3,6]=>1110000=>112
[6,4,1,8,5,3,7,2]=>1111100=>124
[8,4,6,1,3,5,2,7]=>1101000=>104
[3,2,5,4,7,8,1,6]=>1101000=>104
[5,2,4,3,7,8,1,6]=>1110000=>112
[8,1,6,7,2,5,3,4]=>1110000=>112
[3,1,7,6,5,8,2,4]=>1100110=>102
[1,2,7,5,6,8,3,4]=>0010100=>20
[6,1,4,7,2,8,3,5]=>1110000=>112
[3,2,1,7,6,8,4,5]=>1101010=>106
[3,2,8,6,4,7,1,5]=>1101010=>106
[7,8,4,6,3,2,1,5]=>1111000=>120
[1,8,6,5,3,7,2,4]=>0110110=>54
[8,2,5,3,6,7,1,4]=>1110000=>112
[3,8,5,2,7,6,1,4]=>1100110=>102
[4,7,5,3,1,8,6,2]=>1110110=>118
[4,5,3,6,8,1,7,2]=>1110000=>112
[3,5,2,6,1,8,7,4]=>1101001=>105
[1,6,3,5,7,2,8,4]=>0111000=>56
[1,5,4,6,7,8,2,3]=>0101000=>40
[8,4,6,5,7,2,1,3]=>1101100=>108
[7,4,5,2,6,8,1,3]=>1101000=>104
[5,4,2,6,8,7,1,3]=>1101001=>105
[7,8,4,3,1,2,6,5]=>1011100=>92
[6,5,1,4,3,2,8,7]=>1110101=>117
[2,6,5,1,4,7,3,8]=>1010100=>84
[3,6,4,5,2,1,8,7]=>1101001=>105
[5,7,4,1,3,8,6,2]=>1101010=>106
[7,5,4,2,3,8,1,6]=>1101100=>108
[5,2,6,7,3,1,4,8]=>1110000=>112
[2,4,3,8,6,1,5,7]=>1010010=>82
[7,8,1,3,5,6,2,4]=>1100000=>96
[7,8,3,1,5,6,2,4]=>1110000=>112
[7,1,3,8,5,6,2,4]=>1100100=>100
[1,7,8,3,5,6,2,4]=>0110000=>48
[5,1,7,8,3,4,6,2]=>1110000=>112
[1,5,7,8,3,4,6,2]=>0110000=>48
[3,7,1,5,8,6,2,4]=>1100010=>98
[1,3,7,8,2,5,6,4]=>0101000=>40
[3,1,7,8,5,2,6,4]=>1101100=>108
[1,3,7,5,8,2,6,4]=>0101100=>44
[3,1,7,5,8,2,6,4]=>1101100=>108
[3,5,7,1,8,4,6,2]=>1101000=>104
[3,5,7,8,1,4,6,2]=>1100000=>96
[5,3,7,8,4,6,1,2]=>1011000=>88
[5,3,7,8,4,1,6,2]=>1111000=>120
[5,3,7,8,1,4,6,2]=>1110000=>112
[5,3,7,1,8,4,6,2]=>1111000=>120
[1,5,3,7,8,4,2,6]=>0111000=>56
[5,1,3,7,8,4,2,6]=>1101000=>104
[3,6,2,1,4,5,8,7]=>1100001=>97
[8,6,2,7,4,5,1,3]=>1101010=>106
[5,2,8,1,7,3,4,6]=>1110000=>112
[4,2,3,8,1,5,6,7]=>1100000=>96
[2,1,5,8,4,3,6,7]=>1011000=>88
[5,8,3,2,7,1,4,6]=>1110000=>112
[2,6,8,3,7,1,4,5]=>1010000=>80
[5,1,8,3,7,2,4,6]=>1110000=>112
[5,1,8,4,6,2,3,7]=>1101000=>104
[3,1,8,4,2,5,6,7]=>1101000=>104
[3,8,4,2,1,5,6,7]=>1101000=>104
[3,4,2,8,1,5,6,7]=>1100000=>96
[4,8,5,2,6,1,3,7]=>1100100=>100
[4,1,7,5,6,2,8,3]=>1110100=>116
[5,7,4,3,8,1,6,2]=>1111000=>120
[5,7,4,3,8,2,6,1]=>1111000=>120
[3,8,4,2,6,7,5,1]=>1101100=>108
[3,8,4,1,6,7,5,2]=>1101100=>108
[6,1,7,5,2,8,4,3]=>1111100=>124
[5,6,4,3,2,8,1,7]=>1111000=>120
[2,6,7,5,3,8,4,1]=>1011100=>92
[6,7,4,8,2,5,3,1]=>1111000=>120
[2,1,6,7,5,3,8,4]=>1011100=>92
[3,8,4,2,1,6,7,5]=>1101100=>108
[5,7,4,3,8,2,1,6]=>1111000=>120
[6,7,4,8,1,2,5,3]=>1011000=>88
[6,7,5,8,1,2,4,3]=>1010100=>84
[6,7,4,8,3,1,2,5]=>1011000=>88
[3,4,8,1,2,5,7,6]=>1000010=>66
[6,1,3,4,8,2,5,7]=>1100000=>96
[6,2,3,4,8,1,5,7]=>1100000=>96
[3,4,8,2,1,5,7,6]=>1100010=>98
[6,7,5,8,2,4,3,1]=>1110100=>116
[6,7,5,8,3,1,4,2]=>1110100=>116
[3,4,8,1,5,7,6,2]=>1100010=>98
[2,5,7,6,1,4,8,3]=>1010010=>82
[6,7,4,8,2,3,5,1]=>1101000=>104
[6,7,4,8,1,3,5,2]=>1101000=>104
[2,6,7,5,1,3,8,4]=>1001100=>76
[6,3,1,4,8,2,5,7]=>1110000=>112
[6,7,4,8,1,3,2,5]=>1101000=>104
[6,7,5,8,4,1,3,2]=>1101100=>108
[6,7,4,8,2,1,3,5]=>1101000=>104
[6,7,4,8,1,2,3,5]=>1001000=>72
[1,5,6,3,4,8,2,7]=>0110000=>48
[1,4,3,6,5,8,2,7]=>0110100=>52
[8,1,3,4,7,2,6,5]=>1100100=>100
[5,1,7,3,4,8,2,6]=>1110000=>112
[6,7,8,2,3,5,4,1]=>1101000=>104
[5,8,6,2,3,7,4,1]=>1101010=>106
[2,8,3,4,7,5,6,1]=>1010100=>84
[1,8,3,4,7,6,2,5]=>0110010=>50
[8,7,2,3,6,5,4,1]=>1101101=>109
[3,8,1,7,5,2,6,4]=>1101100=>108
[4,8,1,6,7,2,5,3]=>1110000=>112
[2,1,3,8,4,6,5,7]=>1001100=>76
[8,2,1,7,4,3,6,5]=>1111100=>124
[1,3,2,8,5,4,6,7]=>0101100=>44
[8,3,1,5,7,2,6,4]=>1111000=>120
[8,4,5,1,7,2,6,3]=>1111000=>120
[1,5,6,8,7,4,2,3]=>0101001=>41
[8,4,5,7,6,3,2,1]=>1111010=>122
[1,4,8,5,7,6,2,3]=>0100110=>38
[2,4,8,5,7,3,6,1]=>1010100=>84
[4,3,8,6,5,7,2,1]=>1110110=>118
[6,7,2,8,5,3,4,1]=>1110100=>116
[5,2,7,8,6,3,4,1]=>1110010=>114
[4,2,8,6,7,3,5,1]=>1110010=>114
[3,2,8,7,5,4,6,1]=>1101101=>109
[3,1,8,7,5,6,2,4]=>1100101=>101
[4,1,8,6,7,5,2,3]=>1100110=>102
[5,1,7,8,6,4,2,3]=>1101010=>106
[6,7,1,8,5,4,2,3]=>1101100=>108
[7,8,3,2,6,1,4,5]=>1110000=>112
[3,4,8,2,6,1,7,5]=>1100100=>100
[7,8,4,1,5,6,3,2]=>1111000=>120
[7,8,1,4,5,6,3,2]=>1110000=>112
[7,8,1,2,6,3,4,5]=>1010000=>80
[7,8,5,1,4,6,3,2]=>1110100=>116
[7,8,4,5,1,6,3,2]=>1111000=>120
[5,3,8,4,1,6,7,2]=>1111000=>120
[6,2,4,8,1,5,3,7]=>1110000=>112
[3,4,8,5,1,6,7,2]=>1100100=>100
[3,5,8,1,4,6,7,2]=>1100000=>96
[1,4,8,2,6,3,7,5]=>0110100=>52
[5,3,8,1,4,6,7,2]=>1110000=>112
[4,2,6,8,1,5,3,7]=>1110000=>112
[7,4,2,8,1,5,3,6]=>1111000=>120
[6,1,7,5,8,4,3,2]=>1111100=>124
[6,2,1,8,4,5,3,7]=>1111000=>120
[1,2,7,8,5,3,4,6]=>0010100=>20
[6,3,7,8,5,4,1,2]=>1011100=>92
[6,1,5,7,8,4,3,2]=>1111000=>120
[1,7,5,6,8,4,3,2]=>0111100=>60
[3,1,8,4,5,6,7,2]=>1101000=>104
[2,1,4,8,6,5,3,7]=>1010110=>86
[2,4,1,8,6,5,3,7]=>1010110=>86
[4,2,1,8,6,5,3,7]=>1110110=>118
[3,2,7,8,5,1,4,6]=>1100100=>100
[2,3,7,8,5,1,4,6]=>1000100=>68
[2,7,3,8,5,1,4,6]=>1010100=>84
[3,6,2,8,5,1,4,7]=>1100100=>100
[4,1,2,8,7,5,3,6]=>1010101=>85
[1,4,2,8,7,5,3,6]=>0110101=>53
[7,3,6,8,5,4,1,2]=>1011100=>92
[7,2,1,8,5,3,4,6]=>1110100=>116
[1,2,6,8,4,5,3,7]=>0011000=>24
[7,1,6,5,8,4,3,2]=>1111100=>124
[6,5,7,1,8,4,3,2]=>1111100=>124
[5,7,6,1,8,4,3,2]=>1111010=>122
[6,7,1,5,8,4,3,2]=>1111000=>120
[6,7,3,8,5,4,1,2]=>1011100=>92
[7,1,2,8,4,5,3,6]=>1011000=>88
[7,6,1,5,8,4,3,2]=>1111010=>122
[7,5,6,1,8,4,3,2]=>1111100=>124
[9,10,7,8,5,6,2,1,3,4]=>110010100=>404
[9,10,7,8,4,3,5,6,1,2]=>101100100=>356
[9,10,7,8,4,2,5,1,3,6]=>110100100=>420
[9,10,7,8,3,2,1,4,5,6]=>111000100=>452
[9,10,6,5,7,8,3,4,1,2]=>101011000=>344
[9,10,6,5,7,8,2,1,3,4]=>110011000=>408
[9,10,6,4,7,3,5,8,1,2]=>101101000=>360
[9,10,6,4,7,2,5,1,3,8]=>110101000=>424
[9,10,6,3,7,2,1,4,5,8]=>111001000=>456
[9,10,5,4,3,6,7,8,1,2]=>101110000=>368
[9,10,5,4,2,6,7,1,3,8]=>110110000=>432
[9,10,5,3,2,6,1,4,7,8]=>111010000=>464
[9,10,4,3,2,1,5,6,7,8]=>111100000=>480
[8,7,9,10,5,6,3,4,1,2]=>101010100=>340
[8,7,9,10,5,6,2,1,3,4]=>110010100=>404
[8,7,9,10,4,3,5,6,1,2]=>101100100=>356
[8,7,9,10,4,2,5,1,3,6]=>110100100=>420
[8,7,9,10,3,2,1,4,5,6]=>111000100=>452
[8,6,9,5,7,10,3,4,1,2]=>101011000=>344
[8,6,9,5,7,10,2,1,3,4]=>110011000=>408
[8,6,9,4,7,3,5,10,1,2]=>101101000=>360
[8,6,9,3,7,2,1,4,5,10]=>111001000=>456
[8,5,9,4,3,6,7,10,1,2]=>101110000=>368
[8,5,9,4,2,6,7,1,3,10]=>110110000=>432
[8,5,9,3,2,6,1,4,7,10]=>111010000=>464
[8,4,9,3,2,1,5,6,7,10]=>111100000=>480
[7,6,5,8,9,10,3,4,1,2]=>101011000=>344
[7,6,5,8,9,10,2,1,3,4]=>110011000=>408
[7,6,4,8,9,3,5,10,1,2]=>101101000=>360
[7,6,4,8,9,2,5,1,3,10]=>110101000=>424
[7,6,3,8,9,2,1,4,5,10]=>111001000=>456
[7,5,4,8,3,6,9,10,1,2]=>101110000=>368
[7,5,4,8,2,6,9,1,3,10]=>110110000=>432
[7,4,3,8,2,1,5,6,9,10]=>111100000=>480
[6,5,4,3,7,8,9,10,1,2]=>101110000=>368
[6,5,4,2,7,8,9,1,3,10]=>110110000=>432
[6,5,3,2,7,8,1,4,9,10]=>111010000=>464
[7,1,6,5,3,2,4,8]=>1110100=>116
[1,8,7,5,3,2,4,6]=>0110101=>53
[1,8,7,4,2,5,3,6]=>0111001=>57
[8,7,4,2,5,3,6,1]=>1111001=>121
[7,1,6,4,2,5,3,8]=>1111000=>120
[2,6,5,4,7,1,3,8]=>1001100=>76
[7,1,5,3,6,4,2,8]=>1111000=>120
[5,3,7,1,6,4,2,8]=>1111000=>120
[5,3,6,4,2,7,1,8]=>1111000=>120
[1,5,3,8,7,4,2,6]=>0111001=>57
[7,4,2,8,6,3,5,1]=>1111010=>122
[5,3,6,1,8,7,4,2]=>1111001=>121
[6,1,5,3,8,7,4,2]=>1111001=>121
[2,8,7,5,4,6,1,3]=>1001101=>77
[2,3,1,8,7,5,4,6]=>1001101=>77
[5,3,8,7,4,2,1,6]=>1111001=>121
[7,4,2,1,8,6,3,5]=>1111010=>122
[8,6,3,5,7,4,2,1]=>1111010=>122
[1,8,6,3,5,7,4,2]=>0111010=>58
[6,3,8,5,2,1,7,4]=>1111100=>124
[8,6,3,7,4,2,1,5]=>1111010=>122
[2,8,6,4,7,5,1,3]=>1001110=>78
[5,1,8,6,3,7,4,2]=>1111010=>122
[6,3,7,4,1,8,5,2]=>1111100=>124
[8,5,2,6,3,7,4,1]=>1111100=>124
[6,1,8,7,4,2,5,3]=>1111001=>121
[8,6,3,7,4,2,5,1]=>1111010=>122
[1,8,6,3,2,4,7,5]=>0110110=>54
[8,6,3,2,4,7,5,1]=>1110110=>118
[7,5,1,8,6,3,2,4]=>1110110=>118
[6,1,8,7,5,3,2,4]=>1110101=>117
[4,3,2,8,7,6,1,5]=>1110011=>115
[2,4,5,1,3,8,7,6]=>1000011=>67
[7,5,8,6,3,2,4,1]=>1110110=>118
[1,7,5,8,6,3,2,4]=>0110110=>54
[1,7,4,2,5,8,6,3]=>0111010=>58
[8,6,3,1,7,4,2,5]=>1111010=>122
[8,7,4,2,5,3,1,6]=>1111001=>121
[5,3,1,8,7,4,2,6]=>1111001=>121
[4,1,8,7,5,3,2,6]=>1110101=>117
[2,8,6,4,1,3,7,5]=>1001110=>78
[4,1,8,6,3,2,7,5]=>1110110=>118
[7,4,2,8,6,3,1,5]=>1111010=>122
[6,3,1,8,5,2,7,4]=>1111100=>124
[8,5,2,6,3,1,7,4]=>1111100=>124
[7,4,8,5,2,6,3,1]=>1111100=>124
[1,8,5,2,7,4,6,3]=>0111100=>60
[8,5,2,7,4,6,3,1]=>1111100=>124
[7,4,6,3,1,8,5,2]=>1111100=>124
[6,3,1,7,4,8,5,2]=>1111100=>124
[8,6,3,1,5,7,4,2]=>1111010=>122
[4,1,7,5,8,6,3,2]=>1110110=>118
[2,3,1,7,5,8,6,4]=>1001110=>78
[7,4,8,5,2,1,6,3]=>1111100=>124
[8,5,2,1,7,4,6,3]=>1111100=>124
[1,7,4,6,3,8,5,2]=>0111100=>60
[3,6,5,2,1,4,8,7]=>1100101=>101
[3,5,6,2,1,4,8,7]=>1100001=>97
[3,5,7,8,1,4,2,6]=>1100000=>96
[4,1,8,5,7,3,2,6]=>1110100=>116
[4,1,7,5,8,3,2,6]=>1110100=>116
[2,1,5,8,7,4,3,6]=>1011001=>89
[2,1,5,7,8,4,3,6]=>1011000=>88
[5,1,7,4,8,3,2,6]=>1111000=>120
[4,7,2,8,3,6,1,5]=>1110000=>112
[4,6,2,7,3,1,8,5]=>1110100=>116
[3,7,8,2,4,1,6,5]=>1100100=>100
[3,8,7,2,4,1,6,5]=>1100101=>101
[3,8,6,2,4,1,7,5]=>1100110=>102
[1,3,2,7,6,5,10,9,8,4]=>010111011=>187
[1,4,3,6,5,2,10,9,8,7]=>011010111=>215
[1,4,3,7,6,2,10,9,8,5]=>011011011=>219
[1,5,4,7,6,3,10,9,8,2]=>011101011=>235
[1,4,3,8,7,2,10,9,6,5]=>011011101=>221
[1,5,4,8,7,3,10,9,6,2]=>011101101=>237
[2,3,1,6,5,4,10,9,8,7]=>100110111=>311
[2,3,1,7,6,5,10,9,8,4]=>100111011=>315
[2,4,1,6,5,3,10,9,8,7]=>101010111=>343
[2,4,1,7,6,3,10,9,8,5]=>101011011=>347
[2,5,1,7,6,4,10,9,8,3]=>101101011=>363
[2,4,1,8,7,3,10,9,6,5]=>101011101=>349
[2,5,1,8,7,4,10,9,6,3]=>101101101=>365
[3,4,2,6,5,1,10,9,8,7]=>110010111=>407
[3,4,2,7,6,1,10,9,8,5]=>110011011=>411
[3,5,2,7,6,1,10,9,8,4]=>110101011=>427
[4,5,3,7,6,2,10,9,8,1]=>111001011=>459
[3,4,2,8,7,1,10,9,6,5]=>110011101=>413
[3,5,2,8,7,1,10,9,6,4]=>110101101=>429
[4,5,3,8,7,2,10,9,6,1]=>111001101=>461
[2,5,1,6,4,3,10,9,8,7]=>101100111=>359
[2,5,1,7,4,3,10,9,8,6]=>101101011=>363
[2,6,1,7,5,4,10,9,8,3]=>101110011=>371
[2,5,1,8,4,3,10,9,7,6]=>101101101=>365
[2,6,1,8,5,4,10,9,7,3]=>101110101=>373
[3,5,2,6,4,1,10,9,8,7]=>110100111=>423
[3,5,2,7,4,1,10,9,8,6]=>110101011=>427
[3,6,2,7,5,1,10,9,8,4]=>110110011=>435
[4,6,3,7,5,2,10,9,8,1]=>111010011=>467
[3,5,2,8,4,1,10,9,7,6]=>110101101=>429
[3,6,2,8,5,1,10,9,7,4]=>110110101=>437
[4,6,3,8,5,2,10,9,7,1]=>111010101=>469
[3,7,2,8,6,1,10,9,5,4]=>110111001=>441
[4,7,3,8,6,2,10,9,5,1]=>111011001=>473
[2,5,1,9,4,3,10,8,7,6]=>101101110=>366
[2,6,1,9,5,4,10,8,7,3]=>101110110=>374
[3,5,2,9,4,1,10,8,7,6]=>110101110=>430
[3,6,2,9,5,1,10,8,7,4]=>110110110=>438
[4,6,3,9,5,2,10,8,7,1]=>111010110=>470
[3,7,2,9,6,1,10,8,5,4]=>110111010=>442
[6,2,8,4,1,7,3,5]=>1111000=>120
[7,3,4,8,1,6,2,5]=>1110000=>112
[6,3,4,8,1,7,2,5]=>1110000=>112
[5,3,4,8,1,2,7,6]=>1010010=>82
[4,3,5,8,1,2,7,6]=>1010010=>82
[1,8,5,4,2,3,7,6]=>0101110=>46
[3,5,4,8,1,2,7,6]=>1001010=>74
[4,5,3,8,1,2,7,6]=>1010010=>82
[6,4,3,8,1,7,2,5]=>1111000=>120
[7,4,3,8,1,6,2,5]=>1111000=>120
[6,5,3,8,7,1,2,4]=>1010101=>85
[5,6,3,8,7,1,2,4]=>1010001=>81
[4,6,3,8,1,7,2,5]=>1110000=>112
[2,6,8,4,1,7,3,5]=>1011000=>88
[1,8,7,4,2,6,3,5]=>0111001=>57
[5,7,3,8,6,1,2,4]=>1010010=>82
[3,7,5,8,6,1,2,4]=>1000110=>70
[2,7,8,5,6,1,3,4]=>1000100=>68
[1,8,7,5,6,2,3,4]=>0100101=>37
[2,6,8,5,7,1,3,4]=>1000100=>68
[5,3,6,8,7,1,2,4]=>1010001=>81
[6,3,5,8,7,1,2,4]=>1010001=>81
[7,2,8,5,6,1,3,4]=>1100100=>100
[5,2,8,6,7,1,3,4]=>1100010=>98
[1,8,3,2,7,6,4,5]=>0111010=>58
[5,2,8,7,6,1,3,4]=>1100011=>99
[6,2,8,7,5,1,3,4]=>1100101=>101
[3,4,7,8,1,6,2,5]=>1100000=>96
[1,8,5,7,6,2,3,4]=>0100110=>38
[2,5,8,7,6,1,3,4]=>1000011=>67
[7,4,6,5,8,1,2,3]=>1001100=>76
[3,6,7,8,5,1,2,4]=>1000100=>68
[2,6,8,7,5,1,3,4]=>1000101=>69
[1,8,6,7,5,2,3,4]=>0100110=>38
[2,7,8,6,5,1,3,4]=>1000110=>70
[5,7,6,4,8,1,2,3]=>1001010=>74
[6,3,8,7,5,1,2,4]=>1010101=>85
[2,8,7,4,1,3,5,6]=>1001001=>73
[5,4,8,7,1,3,2,6]=>1101001=>105
[4,8,6,1,3,2,5,7]=>1100010=>98
[5,4,2,7,6,8,1,3]=>1101010=>106
[2,8,7,1,4,5,3,6]=>1010001=>81
[4,2,1,8,7,3,5,6]=>1110001=>113
[5,1,6,3,2,8,7,4]=>1111001=>121
[4,6,1,8,7,3,2,5]=>1110001=>113
[8,7,2,3,5,4,1,6]=>1101001=>105
[5,3,1,4,8,7,2,6]=>1110001=>113
[4,3,5,2,8,7,1,6]=>1110001=>113
[3,4,2,8,6,1,5,7]=>1100010=>98
[3,7,6,8,1,5,2,4]=>1100010=>98
[8,1,4,2,3,6,7,5]=>1100100=>100
[3,7,2,1,8,6,4,5]=>1101010=>106
[2,8,6,1,7,3,5,4]=>1011010=>90
[1,7,6,3,5,8,2,4]=>0110010=>50
[3,7,5,1,6,8,2,4]=>1100100=>100
[3,6,5,8,1,4,7,2]=>1100100=>100
[8,1,5,6,4,7,2,3]=>1101000=>104
[3,6,7,4,1,8,2,5]=>1101000=>104
[1,7,4,6,8,2,5,3]=>0111000=>56
[7,5,8,2,6,3,1,4]=>1110100=>116
[2,7,1,6,5,4,8,3]=>1011100=>92
[7,3,2,6,1,8,5,4]=>1111100=>124
[6,4,7,2,3,1,8,5]=>1101100=>108
[5,3,1,8,4,6,2,7]=>1111000=>120
[3,8,1,6,7,4,2,5]=>1101000=>104
[2,7,4,3,6,8,1,5]=>1011000=>88
[2,8,4,6,1,5,3,7]=>1011000=>88
[8,4,1,6,3,2,5,7]=>1111000=>120
[4,7,3,8,5,2,1,6]=>1110100=>116
[3,1,7,4,8,5,2,6]=>1101100=>108
[7,4,1,6,3,2,8,5]=>1111100=>124
[3,8,6,2,7,4,1,5]=>1101010=>106
[7,3,1,4,5,2,8,6]=>1110010=>114
[6,1,4,8,5,3,2,7]=>1110100=>116
[8,1,2,4,6,7,5,3]=>1010100=>84
[8,1,3,6,7,5,4,2]=>1101100=>108
[7,5,2,3,8,6,1,4]=>1100110=>102
[8,6,2,4,1,3,7,5]=>1100110=>102
[4,7,5,1,8,6,3,2]=>1110110=>118
[4,7,3,2,8,5,6,1]=>1110100=>116
[8,4,5,7,6,1,3,2]=>1101010=>106
[7,5,8,4,2,3,6,1]=>1101100=>108
[3,8,4,6,1,7,5,2]=>1101100=>108
[3,7,4,6,5,2,8,1]=>1101100=>108
[4,2,7,6,1,5,8,3]=>1110010=>114
[8,3,1,4,5,7,6,2]=>1110010=>114
[3,5,1,6,8,4,7,2]=>1101000=>104
[6,1,5,7,3,8,4,2]=>1111000=>120
[5,8,4,7,3,2,6,1]=>1111000=>120
[7,2,6,5,8,4,1,3]=>1101100=>108
[8,3,2,5,1,6,7,4]=>1111000=>120
[2,6,8,3,7,4,1,5]=>1011000=>88
[8,1,5,6,4,7,3,2]=>1111000=>120
[2,5,8,1,6,4,7,3]=>1011000=>88
[7,4,1,8,3,2,6,5]=>1111100=>124
[8,3,7,4,2,1,6,5]=>1111100=>124
[5,2,6,8,3,1,7,4]=>1111000=>120
[3,6,5,8,4,1,7,2]=>1101100=>108
[7,3,6,1,8,4,5,2]=>1111000=>120
[8,2,7,3,4,6,5,1]=>1110100=>116
[7,3,8,2,5,6,4,1]=>1111000=>120
[5,7,3,1,6,4,8,2]=>1111000=>120
[6,1,3,2,4,8,7,5]=>1100101=>101
[8,7,4,2,3,6,1,5]=>1101001=>105
[8,7,1,5,4,2,3,6]=>1101001=>105
[3,7,1,5,2,8,6,4]=>1101010=>106
[8,7,2,5,4,1,3,6]=>1101001=>105
[8,7,2,5,3,1,4,6]=>1110001=>113
[5,2,8,7,1,4,3,6]=>1110001=>113
[7,1,8,6,2,4,3,5]=>1110010=>114
[8,1,6,2,7,5,3,4]=>1110100=>116
[7,1,6,2,8,5,3,4]=>1110100=>116
[6,3,4,1,7,2,8,5]=>1110100=>116
[7,2,4,3,5,1,8,6]=>1110010=>114
[5,1,7,2,3,8,6,4]=>1101010=>106
[8,2,3,5,1,7,6,4]=>1101010=>106
[7,6,3,1,4,8,2,5]=>1110010=>114
[6,1,8,2,7,5,3,4]=>1110100=>116
[7,2,8,1,6,5,3,4]=>1110100=>116
[7,2,6,4,3,8,1,5]=>1111000=>120
[5,1,7,4,3,8,2,6]=>1111000=>120
[5,3,1,7,4,8,2,6]=>1111000=>120
[7,4,8,2,1,5,3,6]=>1111000=>120
[8,2,4,1,6,3,7,5]=>1110100=>116
[8,2,7,5,1,6,4,3]=>1111100=>124
[6,1,7,3,2,8,5,4]=>1111100=>124
[4,7,2,1,6,3,8,5]=>1110100=>116
[6,2,1,5,3,8,4,7]=>1111000=>120
[5,3,1,6,2,8,4,7]=>1111000=>120
[6,1,5,2,8,4,3,7]=>1111000=>120
[7,4,3,8,1,5,2,6]=>1111000=>120
[7,4,8,1,5,3,2,6]=>1111000=>120
[6,1,5,3,2,8,4,7]=>1111000=>120
[6,3,2,8,4,1,5,7]=>1111000=>120
[7,3,4,2,8,5,1,6]=>1110100=>116
[7,1,6,3,4,2,8,5]=>1110100=>116
[8,5,1,3,7,4,2,6]=>1101100=>108
[3,8,6,1,5,2,7,4]=>1101010=>106
[8,6,1,3,7,5,2,4]=>1100110=>102
[4,8,5,6,1,7,3,2]=>1110100=>116
[6,7,1,3,8,5,2,4]=>1100100=>100
[3,6,7,1,5,2,8,4]=>1101000=>104
[7,1,3,8,4,2,6,5]=>1101100=>108
[5,6,2,7,1,3,8,4]=>1101000=>104
[5,6,2,8,1,3,7,4]=>1101000=>104
[6,1,8,3,7,5,2,4]=>1110100=>116
[7,4,2,1,5,8,3,6]=>1111000=>120
[7,4,1,5,8,3,2,6]=>1111000=>120
[7,3,2,6,4,8,1,5]=>1111000=>120
[6,4,2,7,3,8,1,5]=>1111000=>120
[5,1,8,3,7,4,2,6]=>1111000=>120
[7,4,8,3,1,5,2,6]=>1111000=>120
[5,2,1,7,4,8,3,6]=>1111000=>120
[6,1,8,4,5,2,7,3]=>1111000=>120
[7,1,6,4,5,2,8,3]=>1111000=>120
[3,5,2,7,1,6,8,4]=>1101000=>104
[4,5,7,3,1,6,8,2]=>1110000=>112
[4,5,7,2,8,6,1,3]=>1100010=>98
[3,5,1,7,2,6,8,4]=>1101000=>104
[4,5,7,2,8,1,3,6]=>1100000=>96
[4,6,7,2,1,5,8,3]=>1110000=>112
[4,6,7,1,3,8,5,2]=>1100100=>100
[3,6,1,5,7,8,4,2]=>1101000=>104
[4,6,7,1,5,8,3,2]=>1110000=>112
[6,1,3,7,4,8,5,2]=>1101100=>108
[3,2,1,7,4,8,5,6]=>1101100=>108
[4,1,5,2,7,6,3,8]=>1110010=>114
[2,5,1,3,7,6,4,8]=>1001010=>74
[2,5,1,4,3,8,6,7]=>1010010=>82
[3,7,2,1,5,8,6,4]=>1101010=>106
[6,2,7,1,4,8,5,3]=>1110100=>116
[3,7,4,2,1,8,5,6]=>1101100=>108
[7,2,5,3,1,8,6,4]=>1111010=>122
[7,5,1,4,2,8,6,3]=>1110110=>118
[7,5,4,1,3,8,6,2]=>1101110=>110
[5,3,2,1,7,6,4,8]=>1111010=>122
[6,3,2,8,1,5,7,4]=>1111000=>120
[7,4,3,2,8,1,6,5]=>1111100=>124
[7,6,2,4,8,3,5,1]=>1110010=>114
[7,3,6,4,8,1,5,2]=>1111000=>120
[2,7,5,3,8,1,4,6]=>1010100=>84
[1,8,5,3,6,4,2,7]=>0111100=>60
[8,6,2,3,7,5,4,1]=>1101110=>110
[8,6,3,2,7,5,4,1]=>1111110=>126
[8,3,2,7,1,6,4,5]=>1111000=>120
[7,2,6,1,5,4,3,8]=>1111000=>120
[8,5,7,4,3,6,2,1]=>1111100=>124
[8,5,7,2,4,6,3,1]=>1110100=>116
[8,4,6,7,1,3,2,5]=>1101000=>104
[2,8,5,6,1,4,3,7]=>1010100=>84
[7,2,6,8,4,1,5,3]=>1111000=>120
[7,6,4,8,3,2,5,1]=>1111010=>122
[6,5,8,1,4,2,7,3]=>1110100=>116
[6,5,8,4,1,3,7,2]=>1101100=>108
[5,4,8,3,2,1,7,6]=>1111010=>122
[4,3,7,2,1,6,5,8]=>1110100=>116
[2,5,8,1,4,3,7,6]=>1010010=>82
[3,6,8,2,1,5,7,4]=>1101000=>104
[5,7,4,8,1,3,6,2]=>1101000=>104
[5,7,1,4,8,2,6,3]=>1110000=>112
[2,7,4,1,8,3,6,5]=>1011100=>92
[3,5,1,8,4,2,7,6]=>1101010=>106
[4,1,5,7,3,6,2,8]=>1110000=>112
[4,2,5,8,3,1,7,6]=>1110010=>114
[6,1,2,7,8,3,5,4]=>1011000=>88
[5,3,1,8,6,4,2,7]=>1111010=>122
[3,1,8,4,7,5,2,6]=>1101100=>108
[4,2,8,7,3,5,1,6]=>1110001=>113
[4,8,1,7,6,2,3,5]=>1100010=>98
[6,8,1,4,7,5,2,3]=>1100100=>100
[7,3,8,1,6,4,2,5]=>1111000=>120
[4,7,8,1,5,3,2,6]=>1110000=>112
[7,1,8,6,2,5,3,4]=>1110010=>114
[5,8,7,1,3,6,4,2]=>1101001=>105
[3,8,7,2,1,6,4,5]=>1101001=>105
[2,8,7,1,6,3,5,4]=>1011001=>89
[3,7,6,1,5,4,2,8]=>1101010=>106
[4,8,7,6,1,3,5,2]=>1100011=>99
[5,8,7,2,6,1,4,3]=>1110001=>113
[6,8,1,7,5,2,4,3]=>1110100=>116
[7,3,8,6,5,1,2,4]=>1010110=>86
[5,7,8,4,3,1,2,6]=>1011000=>88
[5,8,6,4,3,2,1,7]=>1111010=>122
[8,7,3,6,4,2,1,5]=>1111001=>121
[6,1,4,2,5,3,7,8]=>1110000=>112
[1,3,7,5,4,2,8,6]=>0101110=>46
[6,1,3,5,4,2,7,8]=>1101000=>104
[6,1,2,5,4,7,3,8]=>1011000=>88
[5,1,6,3,4,7,8,2]=>1110000=>112
[5,2,6,3,4,7,1,8]=>1110000=>112
[3,4,7,5,8,6,1,2]=>1000110=>70
[2,4,7,1,5,3,8,6]=>1010010=>82
[2,3,6,7,4,8,1,5]=>1001000=>72
[1,3,6,7,4,8,5,2]=>0101100=>44
[2,7,6,5,3,1,8,4]=>1011110=>94
[5,2,6,1,4,7,8,3]=>1110000=>112
[4,7,6,5,2,1,8,3]=>1110110=>118
[5,3,6,2,4,1,7,8]=>1110000=>112
[5,7,4,2,1,3,6,8]=>1101000=>104
[6,3,1,5,4,7,8,2]=>1111000=>120
[5,3,6,1,4,2,7,8]=>1110000=>112
[1,7,4,2,6,3,8,5]=>0111100=>60
[5,7,4,1,2,3,6,8]=>1001000=>72
[6,4,1,2,5,3,7,8]=>1011000=>88
[4,7,6,3,8,5,1,2]=>1010110=>86
[3,7,6,5,2,8,1,4]=>1100110=>102
[3,7,6,5,1,2,8,4]=>1001110=>78
[4,7,2,6,1,3,8,5]=>1100100=>100
[2,7,1,6,8,3,5,4]=>1011000=>88
[2,7,6,5,8,1,4,3]=>1010110=>86
[9,1,2,3,4,5,6,8,7]=>10000010=>130
[10,1,2,3,4,5,6,7,9,8]=>100000010=>258
[9,1,2,3,4,5,7,8,6]=>10000100=>132
[2,3,4,5,6,9,7,8,1]=>10000010=>130
[2,3,4,5,6,7,8,10,9,1]=>100000001=>257
[9,2,1,8,7,6,5,4,3]=>11111110=>254
[3,2,10,9,8,7,6,5,4,1]=>110111111=>447
[3,9,2,8,7,6,5,4,1]=>11011110=>222
[4,2,9,8,7,6,5,3,1]=>11101111=>239
[5,2,8,7,6,4,3,1]=>1111011=>123
[8,2,7,6,1,5,4,3]=>1111010=>122
[9,2,8,1,7,6,5,4,3]=>11111100=>252
[8,4,1,7,6,5,3,2]=>1111110=>126
[9,3,1,8,7,6,5,4,2]=>11111110=>254
[10,2,1,9,8,7,6,5,4,3]=>111111110=>510
[4,5,6,2,3,8,1,7]=>1100000=>96
[4,5,3,2,7,8,1,6]=>1110000=>112
[6,5,7,3,8,4,2,1]=>1111100=>124
[6,8,7,2,4,3,5,1]=>1110001=>113
[3,2,7,4,5,8,1,6]=>1101000=>104
[6,8,1,5,2,4,3,7]=>1110000=>112
[8,3,4,6,1,5,2,7]=>1110000=>112
[2,3,4,7,5,8,1,6]=>1000100=>68
[6,3,4,7,8,2,5,1]=>1110000=>112
[5,3,7,4,8,6,1,2]=>1011010=>90
[8,3,6,4,1,7,2,5]=>1111000=>120
[1,3,7,4,8,6,2,5]=>0101010=>42
[3,7,8,5,4,1,2,6]=>1001100=>76
[5,4,3,1,7,8,2,6]=>1111000=>120
[5,7,6,2,8,4,1,3]=>1101010=>106
[6,1,7,5,8,3,4,2]=>1110100=>116
[7,5,6,4,1,3,8,2]=>1101100=>108
[1,5,6,8,4,7,3,2]=>0111000=>56
[4,1,3,7,6,5,8,2]=>1100110=>102
[3,4,1,7,5,8,6,2]=>1100110=>102
[8,5,7,4,3,1,6,2]=>1111100=>124
[6,8,5,1,7,2,4,3]=>1110100=>116
[8,2,4,1,3,7,6,5]=>1100110=>102
[7,8,3,6,2,1,4,5]=>1110000=>112
[8,1,7,4,2,3,6,5]=>1101100=>108
[1,8,7,2,3,5,6,4]=>0101001=>41
[2,8,3,1,6,7,5,4]=>1011100=>92
[8,2,3,1,5,7,6,4]=>1101010=>106
[3,8,4,1,2,7,6,5]=>1001110=>78
[5,4,7,2,3,6,8,1]=>1101000=>104
[6,3,2,1,8,4,7,5]=>1111100=>124
[2,3,7,4,1,8,5,6]=>1001100=>76
[6,4,1,3,2,7,8,5]=>1101100=>108
[2,7,8,5,1,3,6,4]=>1001100=>76
[8,2,5,6,7,1,3,4]=>1100000=>96
[2,8,5,4,7,6,1,3]=>1001110=>78
[6,7,1,5,8,2,4,3]=>1110000=>112
[4,8,7,6,2,3,5,1]=>1100011=>99
[7,8,1,5,3,2,6,4]=>1111000=>120
[6,5,7,3,8,2,1,4]=>1110100=>116
[8,1,4,7,2,5,6,3]=>1110000=>112
[7,3,4,6,1,5,8,2]=>1110000=>112
[8,3,4,5,7,1,6,2]=>1110000=>112
[4,2,6,8,3,1,5,7]=>1110000=>112
[3,7,6,2,4,5,1,8]=>1100010=>98
[2,3,6,5,8,1,4,7]=>1000100=>68
[2,3,5,8,6,1,4,7]=>1000010=>66
[4,2,3,8,6,1,5,7]=>1100010=>98
[6,4,1,2,8,3,5,7]=>1011000=>88
[1,2,3,7,4,6,8,5]=>0001100=>12
[3,2,7,1,4,5,8,6]=>1100010=>98
[2,1,5,3,8,7,4,6]=>1011001=>89
[5,8,3,2,4,1,6,7]=>1110000=>112
[4,2,7,1,8,3,5,6]=>1110000=>112
[4,1,8,2,7,3,5,6]=>1110000=>112
[1,2,7,5,3,8,4,6]=>0011100=>28
[3,2,7,1,4,8,5,6]=>1100100=>100
[1,2,3,7,6,8,4,5]=>0001010=>10
[1,2,3,6,8,7,4,5]=>0001001=>9
[1,2,3,7,8,4,6,5]=>0001100=>12
[1,2,3,6,8,4,7,5]=>0001100=>12
[1,2,3,7,8,6,4,5]=>0001010=>10
[6,2,8,3,7,5,1,4]=>1110100=>116
[4,2,8,3,7,5,6,1]=>1110100=>116
[7,3,4,8,6,5,1,2]=>1010110=>86
[5,3,4,8,7,2,6,1]=>1110001=>113
[4,3,5,8,7,2,6,1]=>1110001=>113
[4,6,3,8,5,7,2,1]=>1110100=>116
[7,5,3,8,6,2,4,1]=>1110110=>118
[2,6,8,3,7,4,5,1]=>1011000=>88
[1,8,4,3,7,5,6,2]=>0111100=>60
[2,5,8,3,7,4,6,1]=>1011000=>88
[7,4,3,8,6,2,5,1]=>1111010=>122
[3,5,4,8,7,2,6,1]=>1101001=>105
[4,5,3,8,6,7,2,1]=>1110010=>114
[3,6,7,8,4,5,2,1]=>1101000=>104
[2,6,8,5,4,7,3,1]=>1011100=>92
[1,8,5,6,4,7,3,2]=>0111100=>60
[2,5,8,6,4,7,3,1]=>1011010=>90
[7,4,6,5,8,3,2,1]=>1111100=>124
[6,3,7,8,4,5,2,1]=>1111000=>120
[4,3,7,8,5,6,2,1]=>1110100=>116
[5,2,8,6,4,7,3,1]=>1111010=>122
[4,2,8,6,5,7,3,1]=>1110110=>118
[3,2,8,6,7,4,5,1]=>1101010=>106
[2,3,8,7,5,4,6,1]=>1001101=>77
[1,8,2,7,4,5,6,3]=>0111000=>56
[7,2,8,6,3,4,5,1]=>1110010=>114
[6,2,8,4,5,7,3,1]=>1111000=>120
[5,2,8,4,6,7,3,1]=>1111000=>120
[4,2,8,5,6,7,3,1]=>1110100=>116
[4,3,6,8,5,7,2,1]=>1110100=>116
[3,4,6,8,7,2,5,1]=>1100001=>97
[7,3,5,8,6,2,4,1]=>1110010=>114
[1,8,3,5,7,4,6,2]=>0111000=>56
[2,7,8,4,5,6,3,1]=>1011000=>88
[3,7,5,8,4,6,2,1]=>1101100=>108
[5,7,4,6,8,3,2,1]=>1111000=>120
[3,6,5,8,4,7,2,1]=>1101100=>108
[2,6,8,4,5,7,3,1]=>1011000=>88
[4,2,7,1,3,8,5,6]=>1100100=>100
[4,2,5,1,3,8,6,7]=>1100010=>98
[5,3,6,1,7,2,4,8]=>1110000=>112
[3,7,1,2,5,8,6,4]=>1001010=>74
[3,7,4,1,2,8,5,6]=>1001100=>76
[7,5,1,3,4,8,6,2]=>1100110=>102
[7,5,1,2,4,8,6,3]=>1010110=>86
[6,4,2,3,7,1,5,8]=>1101000=>104
[7,6,3,8,1,2,5,4]=>1011010=>90
[7,4,2,3,8,1,6,5]=>1101100=>108
[4,7,5,2,8,1,3,6]=>1100100=>100
[8,2,6,3,7,1,4,5]=>1110000=>112
[8,6,1,2,7,4,5,3]=>1011010=>90
[8,4,7,1,2,3,6,5]=>1001100=>76
[8,5,7,1,2,4,6,3]=>1010100=>84
[8,5,7,1,3,4,6,2]=>1100100=>100
[8,6,2,7,1,3,5,4]=>1101010=>106
[3,8,5,6,1,2,4,7]=>1000100=>68
[3,7,5,8,1,2,4,6]=>1000100=>68
[7,6,4,8,1,3,5,2]=>1101010=>106
[6,5,8,1,2,4,7,3]=>1010100=>84
[3,6,8,1,2,5,7,4]=>1001000=>72
[3,7,2,4,8,1,6,5]=>1100100=>100
[4,6,3,8,1,2,5,7]=>1010000=>80
[4,6,3,7,1,2,5,8]=>1010000=>80
[4,1,7,8,2,3,6,5]=>1100100=>100
[5,1,2,8,6,3,4,7]=>1010010=>82
[5,3,8,1,6,2,4,7]=>1110000=>112
[6,1,8,5,2,3,4,7]=>1100100=>100
[6,1,7,5,2,3,4,8]=>1100100=>100
[6,8,1,3,7,4,5,2]=>1101000=>104
[7,2,8,1,6,3,4,5]=>1110000=>112
[4,7,8,2,5,1,3,6]=>1100000=>96
[6,8,2,7,1,4,5,3]=>1110000=>112
[4,8,7,1,3,5,6,2]=>1100001=>97
[3,8,7,1,2,4,6,5]=>1000101=>69
[4,8,7,1,2,3,6,5]=>1000101=>69
[5,8,7,1,2,4,6,3]=>1010001=>81
[5,8,7,1,3,4,6,2]=>1100001=>97
[7,1,8,6,2,3,5,4]=>1101010=>106
[5,8,6,4,1,2,3,7]=>1001010=>74
[7,8,4,1,2,5,3,6]=>1011000=>88
[7,8,1,2,6,5,3,4]=>1010100=>84
[1,4,8,2,7,5,3,6]=>0110100=>52
[6,1,3,4,7,2,5,8]=>1100000=>96
[7,8,2,1,6,3,5,4]=>1111000=>120
[6,1,2,7,5,4,3,8]=>1011100=>92
[1,2,8,7,5,4,3,6]=>0011101=>29
[5,1,7,3,6,4,8,2]=>1111000=>120
[6,2,1,5,7,4,3,8]=>1111000=>120
[6,2,3,7,4,1,5,8]=>1101000=>104
[3,4,8,7,5,6,1,2]=>1000101=>69
[2,3,8,7,4,1,5,6]=>1001001=>73
[2,7,3,8,6,4,1,5]=>1011010=>90
[1,8,3,7,6,4,5,2]=>0111010=>58
[5,2,7,1,4,6,8,3]=>1110000=>112
[4,6,7,5,2,1,8,3]=>1110100=>116
[6,3,1,4,5,7,8,2]=>1110000=>112
[5,3,1,4,6,2,7,8]=>1110000=>112
[5,1,2,4,7,6,8,3]=>1010010=>82
[5,7,4,1,2,6,3,8]=>1011000=>88
[4,8,1,2,6,7,3,5]=>1010000=>80
[4,1,7,8,2,6,3,5]=>1110000=>112
[1,2,8,7,6,5,3,4]=>0010111=>23
[3,1,2,4,6,8,7,5]=>1000101=>69
[3,1,8,4,5,7,6,2]=>1101010=>106
[3,2,8,5,4,7,1,6]=>1101100=>108
[4,2,8,1,5,3,7,6]=>1110010=>114
[4,3,8,5,7,6,1,2]=>1010110=>86
[4,8,2,1,6,3,7,5]=>1110100=>116
[3,8,6,5,2,7,1,4]=>1100110=>102
[3,8,5,6,1,7,4,2]=>1101100=>108
[3,5,7,8,1,2,6,4]=>1001000=>72
[3,7,8,5,2,1,6,4]=>1101100=>108
[3,7,2,8,4,1,6,5]=>1101100=>108
[2,8,1,7,4,6,5,3]=>1011100=>92
[2,8,7,5,1,6,4,3]=>1011101=>93
[2,8,6,7,5,1,4,3]=>1010110=>86
[5,1,3,4,6,7,2,8]=>1100000=>96
[1,3,4,8,7,5,2,6]=>0100101=>37
[8,2,4,1,7,3,5,6]=>1110000=>112
[8,6,1,4,2,3,7,5]=>1100110=>102
[3,6,1,4,2,8,7,5]=>1100101=>101
[1,6,8,4,3,7,2,5]=>0111000=>56
[3,1,4,7,8,5,2,6]=>1100100=>100
[6,1,7,4,3,8,2,5]=>1111000=>120
[1,8,7,4,3,6,2,5]=>0111001=>57
[7,4,1,3,8,2,6,5]=>1101100=>108
[4,8,2,3,1,5,7,6]=>1100010=>98
[4,8,6,2,1,3,7,5]=>1100110=>102
[2,7,4,1,8,3,5,6]=>1011000=>88
[1,7,8,4,2,3,6,5]=>0101100=>44
[4,7,1,3,8,2,6,5]=>1100100=>100
[8,7,1,3,4,2,6,5]=>1100101=>101
[1,7,4,3,6,2,8,5]=>0111100=>60
[3,8,6,4,5,2,1,7]=>1101010=>106
[3,8,4,6,5,2,1,7]=>1101100=>108
[2,4,3,7,5,8,1,6]=>1010100=>84
[1,4,7,3,6,2,8,5]=>0110100=>52
[1,8,3,4,2,6,7,5]=>0110100=>52
[6,4,1,3,7,2,8,5]=>1101100=>108
[8,1,4,3,6,2,7,5]=>1110100=>116
[4,2,3,8,5,7,1,6]=>1100100=>100
[2,8,5,7,3,4,1,6]=>1010100=>84
[5,8,2,6,4,3,1,7]=>1111000=>120
[7,2,5,8,4,3,1,6]=>1111000=>120
[4,2,3,5,8,7,1,6]=>1100001=>97
[8,2,3,5,4,7,1,6]=>1101000=>104
[6,1,8,3,4,2,7,5]=>1110100=>116
[1,8,6,4,2,3,7,5]=>0101110=>46
[3,8,4,5,6,2,1,7]=>1101000=>104
[2,4,3,5,7,8,1,6]=>1010000=>80
[3,8,6,5,4,2,1,7]=>1101110=>110
[6,3,1,4,2,8,7,5]=>1110101=>117
[7,3,8,1,2,6,4,5]=>1011000=>88
[7,1,4,5,3,2,6,8]=>1110000=>112
[1,8,4,2,6,5,3,7]=>0111100=>60
[5,1,4,8,6,3,2,7]=>1110010=>114
[5,3,1,8,4,7,2,6]=>1111000=>120
[4,3,8,1,5,7,2,6]=>1110000=>112
[6,3,1,2,5,7,4,8]=>1011000=>88
[7,1,4,2,6,5,3,8]=>1110100=>116
[3,8,4,1,6,5,2,7]=>1101100=>108
[7,5,3,6,4,8,2,1]=>1111100=>124
[7,3,6,4,5,8,2,1]=>1111000=>120
[8,7,2,4,5,1,6,3]=>1110001=>113
[7,1,5,4,8,6,3,2]=>1111010=>122
[2,7,5,4,8,6,3,1]=>1011110=>94
[2,1,8,7,5,3,6,4]=>1011101=>93
[5,8,3,7,4,1,6,2]=>1111000=>120
[8,1,7,4,2,6,5,3]=>1111100=>124
[5,6,3,1,8,4,7,2]=>1111000=>120
[5,7,1,4,8,6,3,2]=>1110010=>114
[3,5,7,4,8,6,2,1]=>1101010=>106
[2,6,7,4,5,8,3,1]=>1011000=>88
[6,1,7,4,5,8,3,2]=>1111000=>120
[5,3,7,4,8,6,2,1]=>1111010=>122
[8,5,3,6,1,4,7,2]=>1110100=>116
[5,4,3,6,8,2,7,1]=>1111000=>120
[6,5,3,7,4,8,2,1]=>1111100=>124
[7,5,8,4,1,6,3,2]=>1111100=>124
[2,7,8,4,5,1,6,3]=>1011000=>88
[5,7,3,8,4,1,6,2]=>1111000=>120
[5,6,3,8,1,4,7,2]=>1110000=>112
[8,4,1,2,5,6,7,3]=>1011000=>88
[3,7,8,4,1,6,5,2]=>1101100=>108
[6,8,3,1,2,5,7,4]=>1011000=>88
[8,7,1,4,5,2,6,3]=>1110001=>113
[8,7,3,1,5,4,2,6]=>1111001=>121
[6,8,2,7,4,3,1,5]=>1111000=>120
[6,8,2,3,7,5,1,4]=>1100100=>100
[7,6,2,5,4,8,1,3]=>1101010=>106
[2,6,5,1,8,4,3,7]=>1011100=>92
[5,2,7,3,8,6,1,4]=>1110010=>114
[2,4,8,3,1,7,5,6]=>1010100=>84
[4,8,3,2,1,7,6,5]=>1110110=>118
[6,8,3,7,2,1,5,4]=>1111000=>120
[2,7,6,3,8,1,4,5]=>1010010=>82
[2,1,5,4,8,7,3,6]=>1011001=>89
[3,8,5,4,2,1,7,6]=>1101110=>110
[3,2,8,7,5,4,1,6]=>1101101=>109
[2,8,6,5,4,3,1,7]=>1011110=>94
[5,4,2,6,3,1,8,7]=>1111001=>121
[6,5,2,1,3,4,8,7]=>1100101=>101
[8,5,2,7,3,1,4,6]=>1110100=>116
[7,3,6,5,2,8,4,1]=>1111100=>124
[7,6,2,3,4,8,5,1]=>1100110=>102
[8,7,5,3,1,4,2,6]=>1110101=>117
[7,1,5,3,8,4,6,2]=>1111000=>120
[6,7,2,3,5,8,4,1]=>1101000=>104
[3,7,6,4,2,8,5,1]=>1101110=>110
[2,1,7,6,4,8,5,3]=>1011110=>94
[2,1,8,7,4,3,5,6]=>1011001=>89
[5,8,3,7,2,1,4,6]=>1110000=>112
[3,8,7,4,2,1,5,6]=>1101001=>105
[7,8,2,3,5,1,4,6]=>1100000=>96
[2,8,6,3,1,4,7,5]=>1010110=>86
[8,1,6,3,2,4,5,7]=>1110000=>112
[5,7,1,4,8,3,6,2]=>1110000=>112
[6,1,7,5,4,8,3,2]=>1111100=>124
[6,3,7,5,8,4,2,1]=>1111100=>124
[7,6,1,5,8,3,4,2]=>1110010=>114
[8,6,7,5,1,3,2,4]=>1100110=>102
[8,5,2,6,1,7,3,4]=>1110100=>116
[5,4,2,6,8,3,7,1]=>1111000=>120
[6,5,2,8,1,4,3,7]=>1110100=>116
[7,4,2,8,1,3,6,5]=>1101100=>108
[2,7,8,4,5,1,3,6]=>1001000=>72
[5,7,3,8,4,1,2,6]=>1011000=>88
[2,4,8,1,5,6,3,7]=>1010000=>80
[3,4,8,1,5,2,7,6]=>1100010=>98
[3,6,8,4,1,2,7,5]=>1001100=>76
[4,8,1,2,5,3,6,7]=>1010000=>80
[8,1,2,4,3,5,6,7]=>1010000=>80
[2,3,4,6,5,7,8,9,10,1]=>100010000=>272
[2,3,5,6,4,7,8,9,1]=>10010000=>144
[2,3,6,4,5,7,8,9,1]=>10010000=>144
[9,1,2,4,5,3,6,7,8]=>10100000=>160
[10,1,2,3,5,4,6,7,8,9]=>100100000=>288
[5,8,7,4,6,3,2,1]=>1111001=>121
[4,8,7,6,3,5,2,1]=>1110011=>115
[3,8,7,6,5,2,4,1]=>1100111=>103
[7,9,6,8,5,4,3,2,1]=>11111100=>252
[5,8,4,7,6,3,2,1]=>1111010=>122
[6,9,8,5,7,4,3,2,1]=>11111001=>249
[6,8,5,4,7,3,2,1]=>1111100=>124
[5,9,8,7,4,6,3,2,1]=>11110011=>243
[3,8,7,6,2,5,4,1]=>1101011=>107
[4,9,8,7,6,3,5,2,1]=>11100111=>231
[4,8,7,6,3,2,5,1]=>1110011=>115
[3,9,8,7,6,5,2,4,1]=>11001111=>207
[3,8,7,6,5,2,1,4]=>1100111=>103
[8,6,9,7,4,5,2,3,1]=>11010110=>214
[8,6,9,4,7,5,2,3,1]=>11011100=>220
[8,6,9,4,7,2,5,3,1]=>11110100=>244
[8,6,9,4,7,3,5,1,2]=>10110100=>180
[8,6,9,5,7,3,4,1,2]=>10101100=>172
[8,7,9,5,6,3,4,1,2]=>10101010=>170
[9,7,10,8,5,6,3,4,1,2]=>101010110=>342
[8,6,4,9,7,5,2,3,1]=>11011110=>222
[9,7,10,5,8,6,3,4,1,2]=>101011100=>348
[8,6,9,4,2,7,5,3,1]=>11111100=>252
[9,7,10,5,8,3,6,4,1,2]=>101110100=>372
[8,6,9,4,7,2,1,5,3]=>11110100=>244
[7,5,8,4,6,3,1,2]=>1011100=>92
[8,6,9,4,7,3,5,2,1]=>11110100=>244
[9,7,10,5,8,3,6,2,4,1]=>111010100=>468
[8,6,9,5,7,2,4,1,3]=>11001100=>204
[9,7,10,5,8,4,6,2,3,1]=>110110100=>436
[7,6,8,2,5,1,4,3]=>1110010=>114
[8,7,9,4,6,3,5,1,2]=>10110010=>178
[9,7,10,6,8,4,5,2,3,1]=>110101100=>428
[9,6,8,5,7,3,4,1,2]=>10101100=>172
[9,8,10,6,7,4,5,2,3,1]=>110101010=>426
[3,5,2,4,7,6,1,8]=>1100010=>98
[3,5,4,7,2,6,1,8]=>1101000=>104
[3,5,4,7,6,1,2,8]=>1001010=>74
[3,5,4,7,6,1,8,2]=>1101010=>106
[3,5,7,4,6,1,8,2]=>1101000=>104
[3,5,7,4,6,1,2,8]=>1001000=>72
[3,5,7,4,6,2,1,8]=>1101000=>104
[3,2,5,7,4,6,1,8]=>1101000=>104
[3,5,2,7,6,4,1,8]=>1101010=>106
[3,5,7,2,6,4,1,8]=>1101000=>104
[5,3,7,6,2,4,1,8]=>1110010=>114
[5,3,7,6,1,2,8,4]=>1011010=>90
[5,3,7,6,1,4,2,8]=>1110010=>114
[5,3,7,6,4,1,2,8]=>1011010=>90
[3,5,7,2,6,1,4,8]=>1100000=>96
[3,5,2,7,6,1,4,8]=>1100010=>98
[5,3,7,6,4,1,8,2]=>1111010=>122
[3,7,5,4,1,8,2,6]=>1101100=>108
[3,7,5,4,1,8,6,2]=>1101110=>110
[3,7,5,1,4,8,6,2]=>1100110=>102
[3,7,5,1,4,8,2,6]=>1100100=>100
[3,5,7,1,2,6,8,4]=>1001000=>72
[3,5,7,2,1,6,8,4]=>1101000=>104
[3,5,2,7,1,6,4,8]=>1101000=>104
[3,5,7,2,1,6,4,8]=>1101000=>104
[5,3,7,1,6,2,4,8]=>1110000=>112
[3,5,7,1,4,6,8,2]=>1100000=>96
[3,5,7,1,4,6,2,8]=>1100000=>96
[3,5,7,1,4,2,6,8]=>1100000=>96
[3,5,7,2,1,4,6,8]=>1100000=>96
[3,5,2,7,1,4,6,8]=>1100000=>96
[3,2,5,7,4,1,6,8]=>1101000=>104
[3,5,2,7,4,1,6,8]=>1101000=>104
[3,5,7,4,2,1,6,8]=>1101000=>104
[3,5,7,4,1,2,6,8]=>1001000=>72
[3,5,4,7,1,6,8,2]=>1101000=>104
[3,5,4,7,1,2,6,8]=>1001000=>72
[3,5,4,7,2,1,6,8]=>1101000=>104
[3,5,4,2,7,1,6,8]=>1101000=>104
[3,2,5,4,7,1,6,8]=>1101000=>104
[3,5,4,7,2,1,8,6]=>1101010=>106
[3,5,4,7,1,2,8,6]=>1001010=>74
[5,7,6,3,1,8,4,2]=>1111010=>122
[5,7,6,3,1,8,2,4]=>1110010=>114
[3,5,7,4,1,2,8,6]=>1001010=>74
[3,5,7,4,2,1,8,6]=>1101010=>106
[3,2,5,7,4,1,8,6]=>1101010=>106
[3,2,5,7,1,4,8,6]=>1100010=>98
[3,5,2,7,1,4,8,6]=>1100010=>98
[3,5,7,2,1,4,8,6]=>1100010=>98
[3,5,7,1,4,2,8,6]=>1100010=>98
[3,7,5,2,1,8,6,4]=>1101110=>110
[3,7,2,5,1,8,6,4]=>1101010=>106
[3,2,7,5,1,8,6,4]=>1101110=>110
[3,2,7,5,1,8,4,6]=>1101100=>108
[3,7,2,5,1,8,4,6]=>1101000=>104
[3,7,5,2,1,8,4,6]=>1101100=>108
[6,1,2,5,7,4,8,3]=>1011000=>88
[6,3,2,7,4,1,8,5]=>1111100=>124
[2,1,7,5,8,4,6,3]=>1011100=>92
[2,7,3,6,8,4,1,5]=>1011000=>88
[2,1,8,3,4,7,5,6]=>1010100=>84
[5,1,7,2,4,8,3,6]=>1110000=>112
[3,4,2,6,7,1,8,5]=>1100100=>100
[3,5,8,7,2,1,6,4]=>1101001=>105
[1,3,4,5,6,7,9,2,8]=>01000000=>64
[2,3,4,5,6,7,1,9,8]=>10000001=>129
[2,1,4,5,6,7,8,9,3]=>10100000=>160
[3,1,4,5,6,7,8,2,9]=>11000000=>192
[5,8,3,4,1,7,6,2]=>1110010=>114
[5,8,7,2,4,1,6,3]=>1110001=>113
[3,8,6,4,1,7,5,2]=>1101110=>110
[4,3,5,6,8,1,7,2]=>1110000=>112
[3,7,6,4,1,8,5,2]=>1101110=>110
[3,7,4,1,8,6,5,2]=>1101110=>110
[3,8,4,1,7,6,5,2]=>1101110=>110
[3,2,7,6,1,5,4,8]=>1101010=>106
[3,2,8,7,6,1,5,4]=>1101011=>107
[5,7,8,2,4,1,6,3]=>1110000=>112
[4,2,5,8,1,6,7,3]=>1110000=>112
[4,2,5,8,1,7,3,6]=>1110000=>112
[5,8,2,4,1,6,3,7]=>1110000=>112
[8,4,2,6,5,1,3,7]=>1101100=>108
[3,2,6,8,1,5,4,7]=>1101000=>104
[8,3,2,5,6,1,4,7]=>1110000=>112
[3,2,8,6,7,1,5,4]=>1101010=>106
[3,2,6,8,7,1,5,4]=>1101001=>105
[3,2,6,7,1,5,4,8]=>1101000=>104
[8,7,3,2,5,6,1,4]=>1110001=>113
[7,2,8,1,5,3,6,4]=>1111000=>120
[8,4,2,7,5,1,3,6]=>1101100=>108
[7,4,2,8,5,1,3,6]=>1101100=>108
[7,2,4,1,8,3,6,5]=>1110100=>116
[3,2,8,5,7,1,4,6]=>1100100=>100
[2,6,5,7,1,8,3,4]=>1010100=>84
[2,5,1,8,7,4,3,6]=>1011001=>89
[8,1,4,6,3,5,2,7]=>1110000=>112
[8,3,5,4,1,6,2,7]=>1111000=>120
[8,6,3,4,1,5,2,7]=>1110010=>114
[5,4,7,6,8,2,3,1]=>1101010=>106
[4,1,8,2,3,7,6,5]=>1100110=>102
[2,1,8,5,3,4,7,6]=>1010110=>86
[5,2,4,6,8,7,3,1]=>1110001=>113
[1,6,8,3,4,5,7,2]=>0110000=>48
[5,7,4,8,6,1,3,2]=>1101010=>106
[5,4,2,6,7,8,1,3]=>1101000=>104
[6,4,2,7,3,5,8,1]=>1111000=>120
[7,4,1,8,3,5,6,2]=>1111000=>120
[6,5,4,8,7,3,1,2]=>1011101=>93
[8,7,4,2,1,3,6,5]=>1101101=>109
[8,7,1,3,2,5,6,4]=>1101001=>105
[6,8,2,3,1,7,5,4]=>1101100=>108
[7,4,3,2,6,8,5,1]=>1111100=>124
[2,7,4,3,8,5,6,1]=>1011100=>92
[8,3,7,2,1,5,6,4]=>1111000=>120
[5,7,8,2,4,3,1,6]=>1110000=>112
[8,4,7,3,2,6,1,5]=>1111000=>120
[8,3,1,6,7,4,2,5]=>1111000=>120
[3,2,5,7,4,8,1,6]=>1101000=>104
[8,2,7,3,4,1,5,6]=>1110000=>112
[7,1,6,3,5,8,2,4]=>1110000=>112
[2,8,5,6,7,1,4,3]=>1010100=>84
[1,5,2,7,8,6,4,3]=>0111010=>58
[2,6,8,5,1,4,7,3]=>1010100=>84
[1,4,2,8,6,5,7,3]=>0110110=>54
[3,5,1,6,8,7,2,4]=>1100001=>97
[5,7,6,2,1,3,8,4]=>1101010=>106
[2,5,8,7,4,1,6,3]=>1011001=>89
[4,1,7,5,2,6,8,3]=>1110100=>116
[7,6,2,4,5,1,8,3]=>1110010=>114
[7,3,4,2,5,8,6,1]=>1110010=>114
[8,7,4,2,5,1,6,3]=>1111001=>121
[8,1,4,5,2,6,7,3]=>1110000=>112
[5,2,4,8,6,7,1,3]=>1100010=>98
[8,5,6,2,1,3,7,4]=>1101100=>108
[4,2,1,5,6,7,8,3]=>1110000=>112
[3,4,6,5,1,7,8,2]=>1100100=>100
[7,3,5,2,4,6,1,8]=>1110000=>112
[5,3,7,2,4,6,1,8]=>1110000=>112
[3,7,5,2,4,6,1,8]=>1100100=>100
[5,7,3,2,4,6,1,8]=>1110000=>112
[1,5,3,2,4,7,6,8]=>0110010=>50
[1,5,3,2,7,4,6,8]=>0111000=>56
[5,7,3,2,1,4,6,8]=>1110000=>112
[5,7,3,2,4,1,6,8]=>1110000=>112
[3,7,2,5,4,1,6,8]=>1101000=>104
[5,1,3,2,4,7,6,8]=>1100010=>98
[5,1,3,2,7,4,6,8]=>1101000=>104
[7,1,3,2,5,4,6,8]=>1101000=>104
[1,7,3,2,5,4,6,8]=>0111000=>56
[7,1,3,5,2,4,6,8]=>1100000=>96
[5,1,3,7,2,4,6,8]=>1100000=>96
[3,2,7,5,1,4,6,8]=>1100100=>100
[3,7,5,1,2,4,6,8]=>1000100=>68
[5,7,3,1,2,4,6,8]=>1010000=>80
[1,5,3,7,2,4,6,8]=>0110000=>48
[5,3,2,7,4,1,6,8]=>1111000=>120
[5,3,2,4,7,1,6,8]=>1110000=>112
[5,3,2,1,4,7,6,8]=>1110010=>114
[5,3,2,1,7,4,6,8]=>1111000=>120
[1,3,2,7,5,4,6,8]=>0101100=>44
[1,3,7,2,5,4,6,8]=>0101000=>40
[7,3,1,2,5,4,6,8]=>1011000=>88
[5,3,1,2,7,4,6,8]=>1011000=>88
[5,3,1,2,4,7,6,8]=>1010010=>82
[3,2,5,1,4,7,6,8]=>1100010=>98
[7,3,1,5,2,4,6,8]=>1110000=>112
[1,3,7,5,2,4,6,8]=>0100100=>36
[7,5,1,3,2,4,6,8]=>1100100=>100
[5,7,1,3,2,4,6,8]=>1100000=>96
[3,7,1,5,2,4,6,8]=>1100000=>96
[3,7,1,2,5,4,6,8]=>1001000=>72
[3,7,2,1,5,4,6,8]=>1101000=>104
[3,2,1,7,5,4,6,8]=>1101100=>108
[3,1,2,7,5,4,6,8]=>1001100=>76
[3,1,7,2,5,4,6,8]=>1101000=>104
[3,1,7,5,2,4,6,8]=>1100100=>100
[7,1,5,3,2,4,6,8]=>1110000=>112
[1,7,5,3,2,4,6,8]=>0110100=>52
[1,2,3,4,5,7,9,6,8]=>00000100=>4
[1,2,3,4,6,9,5,7,8]=>00001000=>8
[1,2,3,5,9,4,6,7,8]=>00010000=>16
[1,2,4,9,3,5,6,7,8]=>00100000=>32
[1,3,9,2,4,5,6,7,8]=>01000000=>64
[1,9,8,7,6,2,5,4,3]=>01110111=>119
[2,9,8,7,1,6,5,4,3]=>10111011=>187
[1,9,8,2,7,6,5,4,3]=>01111101=>125
[1,9,2,8,7,6,5,4,3]=>01111110=>126
[3,9,8,7,6,5,2,1,4]=>11001111=>207
[1,10,9,8,7,6,5,2,4,3]=>011011111=>223
[4,9,8,7,6,1,2,5,3]=>10100111=>167
[1,10,9,8,7,6,2,5,4,3]=>011101111=>239
[1,8,7,4,2,6,5,3]=>0111101=>61
[5,9,8,7,1,2,6,4,3]=>10110011=>179
[2,10,9,8,7,1,6,5,4,3]=>101110111=>375
[2,8,5,1,7,6,4,3]=>1011110=>94
[6,9,8,2,1,7,5,4,3]=>11111001=>249
[1,10,9,8,2,7,6,5,4,3]=>011111011=>251
[6,8,5,1,2,7,4,3]=>1011100=>92
[7,9,1,2,8,6,5,4,3]=>10111100=>188
[1,10,9,2,8,7,6,5,4,3]=>011111101=>253
[8,1,2,9,7,6,5,4,3]=>10111110=>190
[2,10,1,9,8,7,6,5,4,3]=>101111110=>382
[3,10,9,8,7,6,5,2,1,4]=>110011111=>415
[1,9,8,7,6,3,2,5,4]=>01110111=>119
[4,10,9,8,7,6,1,2,5,3]=>101001111=>335
[1,9,8,7,4,2,6,5,3]=>01111011=>123
[4,9,8,7,6,3,2,1,5]=>11100111=>231
[5,10,9,8,7,1,2,6,4,3]=>101100111=>359
[2,8,1,4,7,6,5,3]=>1010110=>86
[2,9,8,5,1,7,6,4,3]=>10111101=>189
[5,9,8,7,4,1,2,6,3]=>10110011=>179
[6,10,9,8,2,1,7,5,4,3]=>111110011=>499
[1,9,6,2,8,7,5,4,3]=>01111110=>126
[1,8,7,4,3,2,6,5]=>0111101=>61
[6,9,8,5,1,2,7,4,3]=>10111001=>185
[7,10,9,1,2,8,6,5,4,3]=>101111001=>377
[1,7,2,9,8,6,5,4,3]=>01111101=>125
[1,8,5,4,2,7,6,3]=>0111110=>62
[7,9,6,2,1,8,5,4,3]=>11111100=>252
[8,10,1,2,9,7,6,5,4,3]=>101111100=>380
[8,7,1,2,9,6,5,4,3]=>10111110=>190
[9,2,1,10,8,7,6,5,4,3]=>111111110=>510
[7,5,3,4,2,8,1,6]=>1110100=>116
[8,5,3,6,2,4,7,1]=>1110100=>116
[8,5,6,3,7,4,2,1]=>1111100=>124
[8,5,6,2,7,4,3,1]=>1111100=>124
[8,7,6,3,4,1,5,2]=>1110011=>115
[1,7,2,3,6,8,5,4]=>0101100=>44
[3,5,6,4,8,2,7,1]=>1101000=>104
[3,5,1,4,8,2,7,6]=>1100010=>98
[1,7,5,4,8,2,6,3]=>0111100=>60
[3,7,5,1,6,4,8,2]=>1101100=>108
[2,7,5,4,8,1,3,6]=>1001100=>76
[2,7,5,4,8,6,1,3]=>1001110=>78
[1,7,5,4,8,6,3,2]=>0111110=>62
[2,5,1,4,8,7,3,6]=>1010001=>81
[3,6,4,2,8,7,1,5]=>1101001=>105
[3,5,2,4,8,1,6,7]=>1100000=>96
[3,5,6,4,8,1,2,7]=>1001000=>72
[1,5,6,4,8,7,2,3]=>0101001=>41
[3,6,4,1,8,7,2,5]=>1101001=>105
[3,6,4,5,8,7,2,1]=>1101001=>105
[1,6,4,3,8,5,2,7]=>0111100=>60
[7,1,3,4,5,8,2,6]=>1100000=>96
[7,6,1,4,5,3,8,2]=>1110010=>114
[7,6,1,3,5,4,8,2]=>1101010=>106
[7,1,3,2,5,8,4,6]=>1101000=>104
[1,6,4,2,8,5,3,7]=>0111100=>60
[7,6,5,8,2,4,3,1]=>1110110=>118
[7,6,5,8,3,1,4,2]=>1110110=>118
[2,6,4,3,8,1,7,5]=>1011100=>92
[2,6,4,3,8,5,7,1]=>1011100=>92
[7,2,3,1,5,8,6,4]=>1101010=>106
[7,1,5,6,3,8,4,2]=>1111000=>120
[7,3,6,5,1,4,8,2]=>1110100=>116
[7,2,6,5,3,8,1,4]=>1110100=>116
[7,2,3,1,4,8,6,5]=>1100110=>102
[7,2,3,5,4,8,6,1]=>1101010=>106
[2,6,4,5,8,1,7,3]=>1011000=>88
[1,5,6,4,8,3,7,2]=>0111000=>56
[2,5,6,4,8,3,1,7]=>1011000=>88
[3,5,6,1,4,7,8,2]=>1100000=>96
[7,6,1,3,4,5,8,2]=>1100010=>98
[7,1,3,2,4,8,5,6]=>1100100=>100
[7,6,1,5,3,4,8,2]=>1110010=>114
[7,6,1,5,4,3,8,2]=>1111010=>122
[1,6,4,5,8,3,2,7]=>0111000=>56
[7,6,5,8,1,3,2,4]=>1100110=>102
[3,4,6,8,7,2,1,5]=>1100001=>97
[3,5,6,8,2,1,7,4]=>1101000=>104
[4,2,1,5,3,7,8,6]=>1110010=>114
[4,2,5,6,3,1,8,7]=>1110001=>113
[3,5,6,8,1,7,2,4]=>1100000=>96
[4,1,5,6,3,2,8,7]=>1110001=>113
[4,5,3,1,7,2,8,6]=>1110010=>114
[4,1,3,5,2,7,8,6]=>1100010=>98
[2,5,4,7,3,8,6,1]=>1011010=>90
[3,5,7,1,8,4,2,6]=>1101000=>104
[4,1,5,3,2,7,8,6]=>1110010=>114
[4,5,3,7,1,2,8,6]=>1010010=>82
[4,3,6,1,2,7,5,8]=>1010100=>84
[5,1,3,2,4,6,7,8]=>1100000=>96
[3,6,1,7,4,5,2,8]=>1101000=>104
[5,1,3,4,2,6,7,8]=>1100000=>96
[5,3,1,4,2,6,7,8]=>1110000=>112
[4,5,2,3,7,1,8,6]=>1100010=>98
[4,2,6,1,3,7,5,8]=>1100100=>100
[4,6,2,1,3,7,5,8]=>1100100=>100
[3,6,2,1,7,4,8,5]=>1101100=>108
[3,1,4,7,6,5,2,8]=>1100110=>102
[3,6,2,7,1,5,8,4]=>1101000=>104
[4,6,2,7,1,3,5,8]=>1100000=>96
[3,5,7,1,8,2,6,4]=>1101000=>104
[5,1,4,2,3,6,7,8]=>1100000=>96
[3,6,1,7,2,5,8,4]=>1101000=>104
[2,6,5,3,4,7,8,1]=>1010100=>84
[3,6,1,7,5,4,2,8]=>1101100=>108
[5,1,4,3,2,6,7,8]=>1110000=>112
[5,4,1,3,2,6,7,8]=>1101000=>104
[6,4,2,5,3,8,1,7]=>1111000=>120
[4,6,2,3,5,1,8,7]=>1100001=>97
[6,2,4,5,1,8,3,7]=>1110000=>112
[8,2,6,7,1,4,5,3]=>1110000=>112
[8,2,6,7,4,1,5,3]=>1111000=>120
[4,6,2,3,5,8,1,7]=>1100000=>96
[2,6,4,1,5,8,3,7]=>1011000=>88
[2,8,1,6,7,4,5,3]=>1011000=>88
[6,8,4,5,7,2,3,1]=>1101000=>104
[2,8,6,1,4,7,5,3]=>1010110=>86
[2,8,1,6,4,7,5,3]=>1011100=>92
[2,6,1,4,8,5,3,7]=>1010100=>84
[6,4,5,2,8,3,1,7]=>1111000=>120
[4,2,3,6,1,8,5,7]=>1100100=>100
[4,2,3,1,6,8,5,7]=>1100100=>100
[4,2,3,8,6,1,7,5]=>1100110=>102
[6,4,5,8,2,3,7,1]=>1101000=>104
[8,6,7,2,4,5,1,3]=>1100010=>98
[6,4,8,5,2,3,7,1]=>1101100=>108
[4,2,8,3,1,6,7,5]=>1110100=>116
[2,4,8,1,3,6,7,5]=>1000100=>68
[2,4,1,8,3,6,7,5]=>1010100=>84
[2,1,4,8,6,3,7,5]=>1010110=>86
[6,4,8,2,5,3,7,1]=>1111000=>120
[8,6,2,4,7,5,1,3]=>1100110=>102
[4,6,8,2,3,5,7,1]=>1100000=>96
[2,6,8,4,1,5,7,3]=>1011000=>88
[2,6,8,1,4,5,7,3]=>1010000=>80
[2,1,6,8,4,5,7,3]=>1011000=>88
[2,8,1,4,6,7,3,5]=>1010000=>80
[4,8,6,2,3,7,5,1]=>1100110=>102
[8,4,2,6,7,3,1,5]=>1111000=>120
[7,6,4,5,1,3,8,2]=>1101010=>106
[1,6,7,5,3,4,8,2]=>0110100=>52
[7,6,2,3,8,4,1,5]=>1101010=>106
[1,6,7,5,8,2,3,4]=>0100100=>36
[6,2,5,8,3,4,7,1]=>1110000=>112
[6,2,3,8,7,4,1,5]=>1101001=>105
[2,4,7,3,5,8,6,1]=>1010010=>82
[2,5,3,7,1,8,4,6]=>1011000=>88
[5,2,8,3,1,4,6,7]=>1110000=>112
[4,8,2,3,6,5,7,1]=>1100100=>100
[5,8,1,3,6,4,7,2]=>1101000=>104
[5,8,1,4,3,6,2,7]=>1110000=>112
[5,8,4,1,3,7,6,2]=>1101010=>106
[6,4,5,3,8,1,7,2]=>1111000=>120
[4,6,5,3,7,1,2,8]=>1010100=>84
[4,5,1,3,6,2,8,7]=>1100001=>97
[4,2,6,5,1,7,3,8]=>1110100=>116
[4,3,5,7,2,1,6,8]=>1110000=>112
[3,4,7,6,8,1,2,5]=>1000010=>66
[3,4,6,2,5,8,7,1]=>1100001=>97
[3,5,2,4,6,1,8,7]=>1100001=>97
[4,2,5,1,6,8,3,7]=>1110000=>112
[1,8,2,3,6,5,7,4]=>0101100=>44
[4,2,8,3,5,7,1,6]=>1110000=>112
[4,3,8,6,5,7,1,2]=>1010110=>86
[1,3,7,2,6,5,8,4]=>0101100=>44
[1,3,6,4,2,5,8,7]=>0101001=>41
[1,5,4,7,3,6,8,2]=>0111000=>56
[5,2,3,8,4,1,7,6]=>1101010=>106
[7,5,3,4,8,2,1,6]=>1110100=>116
[7,2,8,3,4,1,5,6]=>1110000=>112
[7,4,3,8,5,2,6,1]=>1111100=>124
[4,6,2,7,3,1,5,8]=>1110000=>112
[7,6,3,8,2,4,5,1]=>1110010=>114
[7,2,8,5,1,3,4,6]=>1100100=>100
[1,5,3,7,6,8,4,2]=>0111010=>58
[1,6,3,7,8,2,4,5]=>0110000=>48
[1,4,3,7,8,5,2,6]=>0110100=>52
[4,2,6,5,7,8,3,1]=>1110100=>116
[4,2,6,7,5,8,1,3]=>1100100=>100
[3,2,4,7,8,5,1,6]=>1100100=>100
[3,2,6,7,8,1,4,5]=>1100000=>96
[5,1,8,3,6,4,7,2]=>1111000=>120
[3,6,8,5,7,2,1,4]=>1100100=>100
[5,1,3,8,7,6,4,2]=>1101011=>107
[3,8,5,6,1,7,2,4]=>1100100=>100
[3,4,8,1,7,6,2,5]=>1100010=>98
[4,7,6,8,5,1,3,2]=>1100110=>102
[6,7,4,8,5,1,3,2]=>1101100=>108
[5,3,6,8,7,1,4,2]=>1110001=>113
[1,8,4,6,7,2,5,3]=>0111000=>56
[5,2,8,3,7,1,6,4]=>1111000=>120
[7,4,5,8,6,1,3,2]=>1101010=>106
[4,3,6,8,7,1,5,2]=>1110001=>113
[6,4,8,3,1,7,5,2]=>1111100=>124
[3,6,5,8,7,1,4,2]=>1100101=>101
[5,7,4,8,2,6,3,1]=>1111000=>120
[5,6,4,8,2,7,3,1]=>1111000=>120
[5,6,8,3,1,7,4,2]=>1111000=>120
[4,6,3,8,2,7,5,1]=>1110100=>116
[5,3,8,1,7,2,6,4]=>1111000=>120
[6,5,8,1,3,7,4,2]=>1101100=>108
[6,5,3,8,2,7,4,1]=>1111100=>124
[6,4,8,1,3,7,5,2]=>1101100=>108
[6,2,8,3,4,7,5,1]=>1110100=>116
[7,6,3,1,4,2,5,8]=>1110010=>114
[1,5,4,3,7,8,2,6]=>0111000=>56
[7,8,4,2,5,3,1,6]=>1111000=>120
[4,2,7,8,5,3,1,6]=>1110100=>116
[4,2,5,3,1,7,8,6]=>1110010=>114
[4,2,8,7,6,3,1,5]=>1110011=>115
[4,2,7,6,3,1,5,8]=>1110010=>114
[6,3,1,7,5,2,4,8]=>1110100=>116
[6,3,1,8,7,5,2,4]=>1110101=>117
[8,6,3,1,7,5,2,4]=>1110110=>118
[4,2,7,6,3,1,8,5]=>1110110=>118
[7,6,3,1,8,4,2,5]=>1111010=>122
[7,6,4,2,1,8,3,5]=>1111010=>122
[1,8,2,7,6,4,3,5]=>0111010=>58
[8,3,5,7,6,4,2,1]=>1111010=>122
[8,4,2,5,7,6,3,1]=>1111010=>122
[7,5,2,4,8,6,3,1]=>1110110=>118
[8,7,5,2,4,6,3,1]=>1110101=>117
[7,5,2,4,6,3,1,8]=>1110100=>116
[5,2,8,6,3,7,4,1]=>1111010=>122
[8,4,7,5,2,6,3,1]=>1111100=>124
[8,3,6,4,7,5,2,1]=>1111100=>124
[1,8,2,7,5,3,6,4]=>0111100=>60
[7,5,2,1,8,3,6,4]=>1111100=>124
[7,5,2,6,3,1,8,4]=>1111100=>124
[5,2,7,4,1,8,6,3]=>1111010=>122
[5,2,8,7,4,1,6,3]=>1111001=>121
[8,7,4,1,5,2,6,3]=>1111001=>121
[7,4,1,5,2,8,6,3]=>1111010=>122
[7,6,3,1,4,2,8,5]=>1110110=>118
[7,5,2,8,6,3,1,4]=>1110110=>118
[8,7,5,2,6,3,1,4]=>1110101=>117
[7,5,2,1,3,6,4,8]=>1101100=>108
[8,7,5,2,1,3,6,4]=>1101101=>109
[7,5,2,1,3,8,6,4]=>1101110=>110
[1,3,7,6,5,8,2,4]=>0100110=>38
[8,6,4,7,5,2,1,3]=>1101110=>110
[6,4,8,7,5,2,1,3]=>1101101=>109
[6,4,7,5,2,1,3,8]=>1101100=>108
[6,3,1,4,7,5,2,8]=>1110100=>116
[6,3,1,4,8,7,5,2]=>1110101=>117
[8,6,3,1,4,7,5,2]=>1110110=>118
[8,5,7,6,3,1,4,2]=>1110110=>118
[1,8,2,5,7,6,4,3]=>0111010=>58
[1,8,2,6,4,7,5,3]=>0111100=>60
[7,5,2,1,6,4,8,3]=>1111100=>124
[6,3,8,7,4,1,5,2]=>1111001=>121
[6,3,7,4,1,5,2,8]=>1111000=>120
[7,4,1,6,3,5,2,8]=>1111000=>120
[7,4,1,8,6,3,5,2]=>1111010=>122
[8,4,6,3,1,7,5,2]=>1111100=>124
[6,4,7,5,2,1,8,3]=>1111100=>124
[1,6,4,7,5,3,8,2]=>0111100=>60
[8,6,3,5,2,7,4,1]=>1111010=>122
[6,3,5,2,8,7,4,1]=>1111001=>121
[6,3,5,2,7,4,1,8]=>1111000=>120
[4,5,7,2,6,3,1,8]=>1110000=>112
[3,5,8,4,6,1,7,2]=>1101000=>104
[1,4,7,3,5,2,6,8]=>0110000=>48
[5,7,4,2,6,3,1,8]=>1111000=>120
[4,2,6,3,5,7,1,8]=>1110000=>112
[1,4,5,8,2,7,3,6]=>0110000=>48
[2,4,5,8,1,6,7,3]=>1010000=>80
[8,3,4,7,1,6,5,2]=>1110100=>116
[4,2,5,7,8,1,6,3]=>1110000=>112
[8,3,4,6,5,1,7,2]=>1110100=>116
[4,1,7,3,5,2,6,8]=>1110000=>112
[6,1,3,7,4,2,5,8]=>1101000=>104
[3,1,6,8,2,7,4,5]=>1101000=>104
[6,1,3,8,2,5,4,7]=>1101000=>104
[4,8,2,3,1,6,7,5]=>1100100=>100
[3,2,6,8,1,5,7,4]=>1101000=>104
[8,2,6,1,5,4,7,3]=>1111000=>120
[8,6,2,7,1,5,4,3]=>1111010=>122
[7,6,8,3,1,5,4,2]=>1111010=>122
[5,7,4,2,8,1,6,3]=>1111000=>120
[6,3,7,2,8,1,5,4]=>1111000=>120
[7,5,2,8,6,1,4,3]=>1110110=>118
[2,7,3,8,1,5,6,4]=>1011000=>88
[1,6,8,5,2,4,3,7]=>0110100=>52
[4,5,7,2,8,1,6,3]=>1110000=>112
[4,5,6,8,3,1,7,2]=>1110000=>112
[8,4,6,5,3,1,7,2]=>1111100=>124
[5,6,4,8,3,1,7,2]=>1111000=>120
[3,4,7,1,2,6,5,8]=>1000100=>68
[4,8,1,6,2,3,7,5]=>1100100=>100
[4,5,3,1,7,2,6,8]=>1110000=>112
[4,7,3,1,2,6,5,8]=>1010100=>84
[5,2,7,1,3,6,4,8]=>1101000=>104
[7,8,1,2,4,3,6,5]=>1010100=>84
[8,4,1,6,2,3,7,5]=>1101100=>108
[4,8,3,1,2,5,7,6]=>1010010=>82
[4,1,3,6,5,7,8,2]=>1100100=>100
[6,1,3,4,2,8,5,7]=>1100100=>100
[8,1,4,2,5,7,6,3]=>1110010=>114
[8,1,4,3,5,7,6,2]=>1110010=>114
[5,2,4,1,3,7,8,6]=>1100010=>98
[2,6,5,3,1,7,8,4]=>1011100=>92
[8,3,2,1,5,7,6,4]=>1111010=>122
[1,7,4,3,6,8,2,5]=>0111000=>56
[2,7,6,3,1,8,4,5]=>1011010=>90
[2,8,4,6,3,7,5,1]=>1011100=>92
[8,7,1,3,6,5,4,2]=>1101101=>109
[1,8,5,7,4,2,6,3]=>0111100=>60
[3,8,6,5,7,1,4,2]=>1100110=>102
[4,8,6,2,7,1,5,3]=>1110010=>114
[4,7,5,3,8,2,1,6]=>1110100=>116
[1,6,5,8,3,4,2,7]=>0110100=>52
[6,1,5,3,8,4,2,7]=>1111000=>120
[8,1,5,4,7,2,6,3]=>1111000=>120
[2,1,4,7,5,8,3,6]=>1010100=>84
[6,3,5,8,7,4,1,2]=>1011001=>89
[4,7,2,8,5,6,3,1]=>1110100=>116
[1,4,8,7,3,5,6,2]=>0110001=>49
[8,1,7,6,3,5,4,2]=>1111010=>122
[3,6,8,5,7,4,1,2]=>1001100=>76
[4,7,6,8,5,3,1,2]=>1010110=>86
[5,7,2,8,6,4,1,3]=>1101010=>106
[3,8,7,5,6,4,2,1]=>1101101=>109
[2,8,7,6,4,5,3,1]=>1011011=>91
[1,8,7,6,5,3,4,2]=>0110111=>55
[4,6,7,2,5,3,1,8]=>1110000=>112
[3,6,7,4,8,1,5,2]=>1101000=>104
[3,8,5,7,6,1,4,2]=>1100110=>102
[1,4,7,8,2,6,5,3]=>0110100=>52
[2,4,7,8,1,6,5,3]=>1010100=>84
[4,2,6,8,7,1,5,3]=>1110001=>113
[3,1,7,8,2,6,5,4]=>1101100=>108
[6,1,3,8,2,7,5,4]=>1101100=>108
[5,1,8,4,2,7,6,3]=>1111010=>122
[8,2,6,1,7,5,4,3]=>1111100=>124
[6,8,3,7,1,5,4,2]=>1111000=>120
[2,7,3,8,1,6,5,4]=>1011100=>92
[1,7,3,8,2,6,5,4]=>0111100=>60
[2,6,8,4,1,7,5,3]=>1011100=>92
[4,5,8,6,3,1,7,2]=>1110010=>114
[4,6,7,1,2,8,5,3]=>1010100=>84
[3,6,1,8,2,7,5,4]=>1101100=>108
[5,7,4,1,2,8,6,3]=>1011010=>90
[6,3,7,1,2,8,5,4]=>1011100=>92
[6,2,1,8,3,7,5,4]=>1111100=>124
[8,1,5,6,3,2,4,7]=>1110000=>112
[1,7,8,3,5,2,4,6]=>0110000=>48
[8,5,3,7,2,4,6,1]=>1110100=>116
[1,7,2,4,8,5,3,6]=>0110100=>52
[1,7,8,5,4,3,2,6]=>0111100=>60
[2,6,8,7,4,3,5,1]=>1011001=>89
[1,2,6,7,8,4,3,5]=>0011000=>24
[2,7,5,8,4,1,3,6]=>1001100=>76
[2,1,7,8,4,5,3,6]=>1011000=>88
[3,7,8,2,1,5,4,6]=>1101000=>104
[8,5,1,4,7,3,6,2]=>1110100=>116
[8,4,7,5,3,6,1,2]=>1011100=>92
[8,1,4,6,7,3,5,2]=>1110000=>112
[3,5,8,6,7,4,1,2]=>1001010=>74
[3,6,8,4,7,1,5,2]=>1101000=>104
[4,7,1,3,6,8,2,5]=>1100000=>96
[3,7,6,4,8,1,2,5]=>1001010=>74
[3,1,7,5,6,8,2,4]=>1100100=>100
[2,3,6,5,7,1,8,4]=>1001100=>76
[3,7,5,4,2,1,8,6]=>1101110=>110
[1,3,6,7,4,2,8,5]=>0101100=>44
[3,6,4,8,2,7,5,1]=>1101100=>108
[1,4,6,3,2,7,8,5]=>0110100=>52
[8,7,1,5,6,3,2,4]=>1110001=>113
[8,1,6,7,5,3,2,4]=>1110100=>116
[1,7,8,6,5,3,2,4]=>0110110=>54
[8,7,2,4,6,5,3,1]=>1110101=>117
[1,7,8,2,6,4,5,3]=>0111000=>56
[8,7,2,5,4,6,1,3]=>1101001=>105
[8,7,2,5,3,1,6,4]=>1111001=>121
[8,7,3,2,1,5,6,4]=>1111001=>121
[8,2,6,7,3,1,5,4]=>1111000=>120
[1,7,2,8,5,6,4,3]=>0111100=>60
[2,7,1,8,4,6,5,3]=>1011100=>92
[3,7,8,2,1,6,5,4]=>1101100=>108
[8,7,6,1,4,5,3,2]=>1110011=>115
[4,8,1,2,3,7,5,6]=>1000100=>68
[1,8,2,3,6,5,4,7]=>0101100=>44
[3,5,8,4,7,2,6,1]=>1101000=>104
[1,8,5,4,6,2,3,7]=>0101100=>44
[3,8,5,4,6,1,2,7]=>1001100=>76
[3,8,5,1,6,4,2,7]=>1101100=>108
[2,8,5,4,6,1,3,7]=>1001100=>76
[2,8,5,4,6,3,1,7]=>1011100=>92
[1,8,5,4,6,3,2,7]=>0111100=>60
[2,5,8,4,7,3,6,1]=>1011000=>88
[3,6,4,2,7,8,5,1]=>1101100=>108
[3,5,4,1,6,2,7,8]=>1101000=>104
[4,5,8,1,7,6,2,3]=>1100010=>98
[3,5,8,4,7,1,6,2]=>1101000=>104
[1,5,8,4,7,3,6,2]=>0111000=>56
[3,6,4,1,7,8,5,2]=>1101100=>108
[3,6,4,8,7,5,2,1]=>1101101=>109
[1,6,4,3,7,8,5,2]=>0111100=>60
[7,1,3,4,8,6,5,2]=>1100110=>102
[7,6,1,3,8,4,2,5]=>1101010=>106
[1,6,4,2,7,8,3,5]=>0111000=>56
[2,6,4,3,7,1,8,5]=>1011100=>92
[2,6,4,1,7,8,3,5]=>1011000=>88
[7,2,3,4,8,6,5,1]=>1100110=>102
[7,2,3,1,8,6,4,5]=>1101010=>106
[7,2,3,4,1,6,8,5]=>1100100=>100
[1,2,4,3,8,5,7,6]=>0010110=>22
[7,3,8,6,1,4,2,5]=>1110010=>114
[7,2,8,6,3,4,1,5]=>1110010=>114
[7,2,3,1,5,6,8,4]=>1101000=>104
[7,2,3,8,1,6,5,4]=>1101100=>108
[7,2,3,8,5,6,4,1]=>1101100=>108
[2,6,4,8,7,1,5,3]=>1011001=>89
[1,5,8,4,7,6,2,3]=>0101010=>42
[3,5,8,1,6,7,2,4]=>1100000=>96
[7,6,1,3,5,8,2,4]=>1100010=>98
[7,1,3,2,5,6,8,4]=>1101000=>104
[7,1,3,8,2,6,5,4]=>1101100=>108
[7,6,1,8,5,4,2,3]=>1101110=>110
[3,2,6,5,8,4,7,1]=>1101100=>108
[4,3,7,1,6,5,8,2]=>1110100=>116
[5,2,6,4,8,3,7,1]=>1111000=>120
[5,2,6,4,8,1,7,3]=>1111000=>120
[4,3,7,5,8,2,6,1]=>1110100=>116
[5,3,7,4,8,2,6,1]=>1111000=>120
[5,3,7,4,8,1,6,2]=>1111000=>120
[5,4,8,1,6,2,7,3]=>1111000=>120
[4,3,7,1,5,2,8,6]=>1110010=>114
[4,3,7,1,6,2,8,5]=>1110100=>116
[5,4,8,2,6,3,7,1]=>1111000=>120
[5,4,8,1,6,3,7,2]=>1111000=>120
[4,1,7,8,6,3,2,5]=>1110010=>114
[4,7,2,8,3,5,1,6]=>1110000=>112
[1,2,6,8,3,7,4,5]=>0011000=>24
[6,8,3,2,1,4,7,5]=>1110100=>116
[7,5,8,4,3,1,6,2]=>1111100=>124
[6,8,2,4,1,3,7,5]=>1100100=>100
[2,8,4,7,6,3,5,1]=>1011010=>90
[6,1,2,7,5,8,4,3]=>1011100=>92
[4,2,7,3,8,5,6,1]=>1110100=>116
[4,5,2,6,8,3,7,1]=>1110000=>112
[4,8,3,2,5,7,6,1]=>1110010=>114
[7,2,4,3,8,5,6,1]=>1110100=>116
[8,4,7,6,2,3,5,1]=>1101010=>106
[6,8,4,1,5,3,7,2]=>1111000=>120
[8,3,4,7,6,2,5,1]=>1110010=>114
[1,8,3,5,2,6,7,4]=>0111000=>56
[6,8,3,5,1,4,7,2]=>1110000=>112
[6,8,5,4,2,3,7,1]=>1101100=>108
[5,8,2,4,3,7,6,1]=>1110010=>114
[8,2,1,3,5,6,4,7]=>1101000=>104
[8,2,1,3,5,4,7,6]=>1101010=>106
[8,2,1,3,4,6,7,5]=>1100100=>100
[8,1,3,4,2,6,5,7]=>1100100=>100
[8,1,3,4,2,5,7,6]=>1100010=>98
[8,1,3,2,5,6,4,7]=>1101000=>104
[8,1,2,4,5,3,7,6]=>1010010=>82
[8,1,2,4,3,6,7,5]=>1010100=>84
[10,2,1,4,3,6,5,8,7,9]=>111010100=>468
[10,2,1,4,3,6,5,7,9,8]=>111010010=>466
[10,2,1,4,3,5,7,8,6,9]=>111001000=>456
[10,2,1,4,3,5,7,6,9,8]=>111001010=>458
[10,2,1,4,3,5,6,8,9,7]=>111000100=>452
[10,2,1,3,5,6,4,8,7,9]=>110100100=>420
[10,2,1,3,5,6,4,7,9,8]=>110100010=>418
[10,2,1,3,5,4,7,8,6,9]=>110101000=>424
[10,2,1,3,5,4,7,6,9,8]=>110101010=>426
[10,2,1,3,5,4,6,8,9,7]=>110100100=>420
[10,2,1,3,4,6,7,8,5,9]=>110010000=>400
[10,2,1,3,4,6,7,5,9,8]=>110010010=>402
[10,2,1,3,4,6,5,8,9,7]=>110010100=>404
[10,2,1,3,4,5,7,8,9,6]=>110001000=>392
[10,1,3,4,2,6,5,8,7,9]=>110010100=>404
[10,1,3,4,2,6,5,7,9,8]=>110010010=>402
[10,1,3,4,2,5,7,8,6,9]=>110001000=>392
[10,1,3,4,2,5,7,6,9,8]=>110001010=>394
[10,1,3,4,2,5,6,8,9,7]=>110000100=>388
[10,1,3,2,5,6,4,8,7,9]=>110100100=>420
[10,1,3,2,5,6,4,7,9,8]=>110100010=>418
[10,1,3,2,5,4,7,8,6,9]=>110101000=>424
[10,1,3,2,5,4,7,6,9,8]=>110101010=>426
[10,1,3,2,5,4,6,8,9,7]=>110100100=>420
[10,1,3,2,4,6,7,8,5,9]=>110010000=>400
[10,1,3,2,4,6,7,5,9,8]=>110010010=>402
[10,1,3,2,4,6,5,8,9,7]=>110010100=>404
[10,1,3,2,4,5,7,8,9,6]=>110001000=>392
[10,1,2,4,5,6,3,8,7,9]=>101000100=>324
[10,1,2,4,5,6,3,7,9,8]=>101000010=>322
[10,1,2,4,5,3,7,8,6,9]=>101001000=>328
[10,1,2,4,5,3,7,6,9,8]=>101001010=>330
[10,1,2,4,5,3,6,8,9,7]=>101000100=>324
[10,1,2,4,3,6,7,8,5,9]=>101010000=>336
[10,1,2,4,3,6,7,5,9,8]=>101010010=>338
[10,1,2,4,3,6,5,8,9,7]=>101010100=>340
[10,1,2,4,3,5,7,8,9,6]=>101001000=>328
[10,1,2,3,5,6,7,8,4,9]=>100100000=>288
[10,1,2,3,5,6,7,4,9,8]=>100100010=>290
[10,1,2,3,5,6,4,8,9,7]=>100100100=>292
[10,1,2,3,5,4,7,8,9,6]=>100101000=>296
[10,1,2,3,4,6,7,8,9,5]=>100010000=>272
[6,5,3,8,4,2,7,1]=>1111100=>124
[7,4,5,1,6,2,8,3]=>1111000=>120
[4,7,3,5,6,2,8,1]=>1110000=>112
[6,7,8,4,1,3,5,2]=>1101000=>104
[3,1,6,8,4,7,5,2]=>1101100=>108
[8,3,6,1,5,7,4,2]=>1111000=>120
[3,2,7,5,8,6,1,4]=>1100110=>102
[2,5,4,7,8,1,6,3]=>1011000=>88
[2,4,6,7,8,1,5,3]=>1010000=>80
[2,4,6,8,1,7,5,3]=>1010100=>84
[7,4,3,8,6,2,1,5]=>1111010=>122
[2,4,7,8,3,5,6,1]=>1010000=>80
[3,2,7,6,1,8,4,5]=>1101010=>106
[3,2,6,8,1,7,4,5]=>1101000=>104
[4,3,6,2,1,8,5,7]=>1110100=>116
[3,6,4,2,5,8,1,7]=>1101000=>104
[4,6,2,3,7,5,8,1]=>1100100=>100
[5,8,4,2,3,6,7,1]=>1101000=>104
[8,4,5,3,2,1,7,6]=>1111010=>122
[5,8,3,4,2,1,7,6]=>1110010=>114
[6,8,4,2,3,7,5,1]=>1101100=>108
[6,4,8,3,2,7,1,5]=>1111000=>120
[5,8,3,7,2,1,6,4]=>1111000=>120
[2,5,6,4,7,1,8,3]=>1011000=>88
[2,5,4,8,1,6,7,3]=>1011000=>88
[6,4,7,3,8,2,1,5]=>1111000=>120
[6,7,4,3,2,1,8,5]=>1111100=>124
[8,4,3,7,2,1,5,6]=>1111000=>120
[1,2,6,5,8,7,3,4]=>0010101=>21
[1,5,2,8,4,6,7,3]=>0111000=>56
[1,5,2,7,4,6,8,3]=>0111000=>56
[5,1,2,7,3,6,8,4]=>1011000=>88
[5,1,2,8,3,6,7,4]=>1011000=>88
[5,6,3,4,8,7,2,1]=>1110001=>113
[6,5,3,4,8,7,2,1]=>1110101=>117
[4,1,2,8,3,6,7,5]=>1010100=>84
[4,1,2,7,3,6,8,5]=>1010100=>84
[7,5,3,8,4,6,2,1]=>1111100=>124
[8,5,3,7,4,6,2,1]=>1111100=>124
[5,8,1,2,3,4,7,6]=>1000010=>66
[7,1,2,8,3,6,4,5]=>1011000=>88
[1,6,8,2,4,5,7,3]=>0110000=>48
[4,3,8,7,5,6,2,1]=>1110101=>117
[1,8,2,7,4,6,5,3]=>0111100=>60
[5,8,3,7,4,6,2,1]=>1111000=>120
[6,8,7,3,4,5,2,1]=>1110001=>113
[1,8,7,2,4,5,3,6]=>0110001=>49
[8,7,1,2,3,4,6,5]=>1000101=>69
[8,6,1,2,3,4,7,5]=>1000110=>70
[8,1,6,2,3,5,4,7]=>1101000=>104
[1,7,6,2,4,5,3,8]=>0110010=>50
[1,8,7,4,6,3,5,2]=>0111001=>57
[6,3,7,5,1,4,8,2]=>1110100=>116
[1,8,3,5,7,2,6,4]=>0111000=>56
[2,3,4,6,8,5,7,1]=>1000100=>68
[2,3,5,7,4,8,6,1]=>1001010=>74
[2,4,6,3,7,8,5,1]=>1010100=>84
[2,5,7,1,8,6,3,4]=>1010010=>82
[8,2,4,5,1,3,7,6]=>1100010=>98
[1,3,8,5,2,4,6,7]=>0100100=>36
[2,6,7,1,8,4,5,3]=>1011000=>88
[5,8,3,1,4,2,6,7]=>1110000=>112
[2,4,1,8,5,6,3,7]=>1010100=>84
[1,6,2,7,8,5,3,4]=>0110100=>52
[3,5,2,6,7,8,4,1]=>1101000=>104
[4,5,1,6,7,3,8,2]=>1110000=>112
[2,8,4,1,7,5,3,6]=>1011100=>92
[8,5,3,1,7,4,2,6]=>1111100=>124
[4,2,8,7,1,5,3,6]=>1110001=>113
[5,2,6,8,1,7,4,3]=>1111000=>120
[5,7,3,2,6,8,1,4]=>1110000=>112
[8,4,7,3,1,6,2,5]=>1111000=>120
[6,7,1,2,3,5,8,4]=>1001000=>72
[3,1,6,7,8,4,2,5]=>1101000=>104
[3,1,4,8,5,6,2,7]=>1100100=>100
[8,3,1,4,5,7,2,6]=>1110000=>112
[1,6,7,8,9,2,3,4,5]=>01000000=>64
[6,7,8,9,1,2,3,4,5,10]=>100000000=>256
[6,7,8,1,2,3,4,5,9]=>10000000=>128
[1,7,8,9,2,3,4,5,6]=>01000000=>64
[1,7,8,9,10,2,3,4,5,6]=>010000000=>128
[5,6,7,8,9,1,2,3,4,10]=>100000000=>256
[5,6,7,1,8,2,3,4,9]=>11000000=>192
[4,6,7,8,1,2,3,5,9]=>10000000=>128
[1,6,7,8,2,9,3,4,5]=>01100000=>96
[1,5,7,8,9,2,3,4,6]=>01000000=>64
[1,6,7,8,9,10,2,3,4,5]=>010000000=>128
[8,6,2,3,5,1,4,7]=>1100010=>98
[8,2,4,5,7,3,1,6]=>1110000=>112
[2,6,3,8,7,5,4,1]=>1011101=>93
[8,2,3,7,5,4,1,6]=>1101100=>108
[8,2,6,3,5,4,1,7]=>1111000=>120
[8,6,1,5,2,4,3,7]=>1110010=>114
[8,6,2,4,1,5,3,7]=>1110010=>114
[8,4,1,6,5,3,2,7]=>1111100=>124
[8,3,6,1,5,4,2,7]=>1111000=>120
[8,3,2,6,5,4,1,7]=>1111100=>124
[8,3,2,5,7,4,1,6]=>1111000=>120
[8,3,1,7,5,4,2,6]=>1111100=>124
[8,2,7,4,1,5,3,6]=>1111000=>120
[6,1,3,8,7,5,4,2]=>1101101=>109
[3,6,1,8,7,5,4,2]=>1101101=>109
[3,8,1,5,7,6,4,2]=>1101010=>106
[3,5,2,8,7,6,4,1]=>1101011=>107
[3,4,8,2,7,6,5,1]=>1100110=>102
[3,4,8,7,1,6,5,2]=>1100101=>101
[8,1,3,5,7,6,4,2]=>1101010=>106
[4,1,8,5,7,6,3,2]=>1110110=>118
[8,2,7,1,4,5,6,3]=>1110000=>112
[8,1,7,3,4,6,2,5]=>1110000=>112
[8,3,1,7,2,6,5,4]=>1111100=>124
[3,8,2,4,7,6,5,1]=>1100110=>102
[2,8,3,7,4,6,5,1]=>1011100=>92
[8,2,3,7,1,6,5,4]=>1101100=>108
[8,2,7,1,3,6,5,4]=>1101100=>108
[8,1,7,2,6,4,3,5]=>1111000=>120
[8,1,7,5,2,4,3,6]=>1110100=>116
[8,2,3,7,4,6,1,5]=>1101000=>104
[2,4,8,5,7,6,3,1]=>1010110=>86
[8,2,4,3,7,6,1,5]=>1110010=>114
[8,2,7,3,5,1,4,6]=>1110000=>112
[8,2,7,4,3,1,5,6]=>1111000=>120
[8,2,7,3,1,5,6,4]=>1111000=>120
[8,2,1,5,7,6,4,3]=>1111010=>122
[6,2,1,8,7,5,4,3]=>1111101=>125
[6,1,8,2,7,5,4,3]=>1111100=>124
[8,1,7,3,5,2,6,4]=>1111000=>120
[8,1,5,2,7,6,4,3]=>1111010=>122
[8,1,7,2,4,6,5,3]=>1110100=>116
[8,2,4,1,7,6,5,3]=>1110110=>118
[4,2,8,3,7,6,5,1]=>1110110=>118
[4,8,2,1,7,6,5,3]=>1110110=>118
[5,1,8,7,2,6,4,3]=>1111001=>121
[5,8,1,3,7,6,2,4]=>1100010=>98
[8,2,5,4,1,7,6,3]=>1111010=>122
[5,1,4,8,7,6,3,2]=>1110011=>115
[8,1,4,3,7,6,5,2]=>1110110=>118
[4,8,1,3,7,6,5,2]=>1100110=>102
[4,3,8,1,7,6,5,2]=>1110110=>118
[5,8,6,3,2,1,7,4]=>1111010=>122
[5,7,6,3,2,4,1,8]=>1110010=>114
[6,5,7,2,4,3,1,8]=>1110100=>116
[5,7,1,3,2,8,6,4]=>1101010=>106
[5,8,1,3,2,7,4,6]=>1101000=>104
[8,5,1,3,2,4,6,7]=>1100100=>100
[7,5,1,3,2,4,8,6]=>1100110=>102
[7,5,8,2,1,4,3,6]=>1110100=>116
[6,7,1,2,5,4,8,3]=>1011000=>88
[6,8,1,2,5,7,4,3]=>1011000=>88
[7,1,2,3,8,6,4,5]=>1001010=>74
[8,1,6,4,2,3,5,7]=>1101000=>104
[1,5,4,8,2,3,7,6]=>0101010=>42
[1,7,8,2,3,5,6,4]=>0101000=>40
[7,5,8,2,3,1,4,6]=>1100100=>100
[7,4,1,2,6,8,3,5]=>1011000=>88
[6,2,8,1,5,7,3,4]=>1110000=>112
[7,2,5,4,1,8,6,3]=>1111010=>122
[7,3,5,4,2,1,8,6]=>1111010=>122
[7,3,2,8,5,6,1,4]=>1110100=>116
[1,7,4,3,6,8,5,2]=>0111100=>60
[4,7,6,5,2,3,8,1]=>1100110=>102
[4,7,6,5,1,3,8,2]=>1100110=>102
[5,4,6,8,7,2,1,3]=>1101001=>105
[6,7,4,2,1,8,5,3]=>1111100=>124
[1,7,6,3,2,8,4,5]=>0111010=>58
[5,4,2,1,7,3,6,8]=>1111000=>120
[6,5,8,2,3,7,4,1]=>1101100=>108
[6,5,8,3,4,1,7,2]=>1110100=>116
[4,1,2,8,5,3,6,7]=>1010100=>84
[3,5,8,2,6,1,7,4]=>1101000=>104
[3,7,6,1,5,2,8,4]=>1101010=>106
[1,7,6,2,5,8,4,3]=>0111010=>58
[1,7,6,5,8,4,2,3]=>0101110=>46
[3,7,6,5,8,1,2,4]=>1000110=>70
[3,7,6,2,8,4,5,1]=>1101010=>106
[4,3,6,8,5,1,2,7]=>1010100=>84
[2,7,1,5,8,4,3,6]=>1011000=>88
[2,7,6,1,8,4,3,5]=>1011010=>90
[7,1,2,6,3,5,4,8]=>1011000=>88
[7,2,6,3,4,5,1,8]=>1110000=>112
[6,7,8,4,2,5,3,1]=>1111000=>120
[6,1,2,5,7,8,4,3]=>1011000=>88
[4,1,2,7,8,5,3,6]=>1010100=>84
[4,7,3,1,2,6,8,5]=>1010100=>84
[3,7,6,1,5,8,2,4]=>1100010=>98
[3,8,5,6,4,2,7,1]=>1101100=>108
[3,2,6,4,7,8,5,1]=>1101100=>108
[4,2,7,5,8,3,1,6]=>1110100=>116
[4,2,7,1,3,8,6,5]=>1100110=>102
[5,2,1,4,7,8,3,6]=>1110000=>112
[5,6,2,7,3,4,8,1]=>1110000=>112
[6,1,3,8,5,4,7,2]=>1101100=>108
[2,7,6,8,5,1,3,4]=>1000110=>70
[2,7,6,8,5,3,1,4]=>1010110=>86
[1,5,8,6,4,2,3,7]=>0101010=>42
[2,5,8,6,4,1,7,3]=>1011010=>90
[1,6,2,3,5,8,7,4]=>0101001=>41
[4,7,2,3,1,6,8,5]=>1100100=>100
[6,7,3,1,5,4,8,2]=>1111000=>120
[7,4,6,2,8,3,5,1]=>1111000=>120
[3,4,6,5,1,2,7,8]=>1000100=>68
[7,5,4,3,8,6,2,1]=>1111110=>126
[4,3,8,2,6,7,5,1]=>1110100=>116
[4,3,8,2,5,7,1,6]=>1110000=>112
[4,1,6,2,5,3,7,8]=>1110000=>112
[5,1,8,6,4,7,2,3]=>1101010=>106
[4,2,6,1,5,3,8,7]=>1110001=>113
[6,7,2,3,1,5,8,4]=>1101000=>104
[7,5,2,3,8,1,6,4]=>1101100=>108
[7,5,2,3,8,4,1,6]=>1101100=>108
[4,5,1,7,6,3,8,2]=>1110010=>114
[8,6,3,1,4,2,5,7]=>1110010=>114
[4,5,1,6,2,8,7,3]=>1110001=>113
[4,8,3,6,1,7,2,5]=>1110000=>112
[6,2,7,8,3,4,5,1]=>1110000=>112
[9,2,3,4,5,6,7,8,1]=>11000000=>192
[8,2,3,4,5,6,7,1,9]=>11000000=>192
[7,2,3,4,5,6,1,8,9]=>11000000=>192
[6,2,3,4,5,1,7,8,9]=>11000000=>192
[5,2,3,4,1,6,7,8,9]=>11000000=>192
[4,2,3,1,5,6,7,8,9]=>11000000=>192
[1,2,4,3,5,6,7,8,9]=>00100000=>32
[1,2,4,6,8,9,7,5,3]=>00101010=>42
[1,2,4,5,3,6,7,8,9]=>00100000=>32
[1,2,4,3,5,6,7,8,9,10]=>001000000=>64
[1,2,4,6,8,10,9,7,5,3]=>001010101=>85
[1,2,4,6,8,5,7,3]=>0010100=>20
[2,1,7,5,8,6,3,4]=>1010110=>86
[4,7,3,8,6,5,2,1]=>1110110=>118
[3,8,7,4,6,5,1,2]=>1001101=>77
[7,3,8,4,6,5,1,2]=>1011100=>92
[7,4,3,6,5,8,1,2]=>1011100=>92
[4,5,8,7,2,6,1,3]=>1100001=>97
[3,8,6,7,5,1,4,2]=>1100110=>102
[4,2,7,6,5,8,3,1]=>1110110=>118
[4,6,7,8,5,2,3,1]=>1100100=>100
[4,5,3,8,2,7,6,1]=>1110010=>114
[3,8,5,4,1,7,6,2]=>1101110=>110
[6,4,7,2,5,8,3,1]=>1111000=>120
[6,3,8,7,5,1,4,2]=>1110101=>117
[5,3,6,4,1,2,8,7]=>1011001=>89
[6,8,4,3,5,7,1,2]=>1011000=>88
[5,2,4,8,7,6,1,3]=>1100011=>99
[3,2,4,5,1,8,6,7]=>1100010=>98
[4,2,5,1,7,8,3,6]=>1110000=>112
[2,5,4,1,3,8,6,7]=>1001010=>74
[1,4,5,3,8,2,6,7]=>0110000=>48
[5,1,8,2,4,3,6,7]=>1110000=>112
[1,5,4,8,2,3,6,7]=>0101000=>40
[3,5,1,4,7,8,2,6]=>1100000=>96
[4,8,3,1,6,7,2,5]=>1110000=>112
[3,4,8,2,6,5,7,1]=>1100100=>100
[3,6,2,4,8,7,1,5]=>1100001=>97
[4,7,3,2,6,8,1,5]=>1110000=>112
[7,3,4,6,8,1,2,5]=>1010000=>80
[3,6,7,2,5,8,1,4]=>1100000=>96
[1,5,6,8,3,7,2,4]=>0110000=>48
[6,1,5,8,3,4,7,2]=>1110000=>112
[5,6,8,1,3,4,7,2]=>1100000=>96
[2,8,5,6,3,4,7,1]=>1010100=>84
[6,8,1,3,5,4,7,2]=>1101000=>104
[8,1,6,3,5,4,7,2]=>1111000=>120
[1,8,7,3,6,4,5,2]=>0111001=>57
[6,2,4,8,1,7,3,5]=>1110000=>112
[3,1,7,8,5,4,6,2]=>1101100=>108
[1,6,2,7,4,8,5,3]=>0111100=>60
[2,7,1,8,4,3,5,6]=>1011000=>88
[6,7,1,8,3,2,4,5]=>1110000=>112
[2,7,6,3,5,8,1,4]=>1010010=>82
[2,7,5,6,8,1,3,4]=>1000100=>68
[6,7,2,8,1,3,4,5]=>1100000=>96
[5,1,6,8,7,2,3,4]=>1100001=>97
[1,5,7,6,8,2,3,4]=>0100010=>34
[7,4,6,8,5,3,1,2]=>1011100=>92
[2,1,5,7,8,3,6,4]=>1011000=>88
[3,8,6,7,5,1,2,4]=>1000110=>70
[4,7,5,8,6,3,1,2]=>1010110=>86
[1,6,8,3,2,5,4,7]=>0111000=>56
[7,8,5,1,3,2,6,4]=>1101100=>108
[2,6,8,1,5,4,7,3]=>1011000=>88
[1,5,4,7,6,2,8,3]=>0111010=>58
[2,3,7,6,5,1,8,4]=>1001110=>78
[6,1,5,8,3,2,7,4]=>1111000=>120
[3,1,2,4,8,5,7,6]=>1000110=>70
[2,5,8,4,6,3,1,7]=>1011000=>88
[7,1,5,4,8,3,2,6]=>1111000=>120
[6,4,1,7,5,3,2,8]=>1111100=>124
[2,7,6,4,8,1,5,3]=>1011010=>90
[7,2,5,4,8,1,6,3]=>1111000=>120
[1,7,2,5,3,8,6,4]=>0111010=>58
[2,4,1,3,6,8,5,7,9]=>10001000=>136
[7,2,3,8,6,1,5,4]=>1101010=>106
[7,3,2,5,8,1,6,4]=>1111000=>120
[5,3,8,4,1,2,6,7]=>1011000=>88
[2,4,8,3,7,1,5,6]=>1010000=>80
[5,2,8,4,1,6,3,7]=>1111000=>120
[7,6,5,2,1,8,4,3]=>1111110=>126
[2,7,5,1,8,3,6,4]=>1011100=>92
[5,1,8,7,4,3,6,2]=>1111001=>121
[3,8,7,2,4,6,1,5]=>1100001=>97
[5,7,1,3,2,4,8,6]=>1100010=>98
[4,2,7,6,3,5,8,1]=>1110010=>114
[8,4,7,6,3,5,1,2]=>1011010=>90
[8,1,7,4,2,3,5,6]=>1101000=>104
[6,5,1,3,8,7,4,2]=>1101101=>109
[4,7,8,3,2,5,1,6]=>1110000=>112
[6,1,8,5,3,7,2,4]=>1110100=>116
[5,1,6,8,3,7,4,2]=>1111000=>120
[8,6,5,1,7,4,3,2]=>1111110=>126
[7,6,4,1,3,5,8,2]=>1101010=>106
[8,2,3,7,1,4,5,6]=>1100000=>96
[2,8,3,7,1,4,5,6]=>1010000=>80
[5,6,2,7,4,3,1,8]=>1111000=>120
[8,6,2,7,4,1,3,5]=>1101010=>106
[3,7,8,2,6,1,4,5]=>1100000=>96
[3,7,8,5,2,1,4,6]=>1100100=>100
[6,8,4,7,3,1,5,2]=>1111000=>120
[4,8,6,5,1,2,7,3]=>1010110=>86
[4,8,6,5,1,2,3,7]=>1000110=>70
[3,4,5,1,7,6,8,2]=>1100010=>98
[3,8,7,6,5,1,2,4]=>1000111=>71
[8,4,6,7,1,2,5,3]=>1011000=>88
[5,7,2,6,1,8,4,3]=>1111000=>120
[5,7,2,6,1,3,8,4]=>1101000=>104
[5,8,2,6,1,4,7,3]=>1110000=>112
[3,8,7,5,6,1,4,2]=>1100101=>101
[6,8,4,7,2,1,5,3]=>1111000=>120
[7,4,6,5,1,3,8,2]=>1101100=>108
[1,7,3,4,5,2,8,6]=>0110010=>50
[4,8,2,1,3,5,6,7]=>1100000=>96
[1,7,2,5,4,3,8,6]=>0111010=>58
[2,6,7,3,4,8,1,5]=>1010000=>80
[2,1,5,7,4,3,8,6]=>1011010=>90
[4,1,8,7,5,6,2,3]=>1100101=>101
[1,5,8,7,4,3,6,2]=>0111001=>57
[6,4,1,3,8,7,5,2]=>1101101=>109
[2,1,7,4,6,8,3,5]=>1011000=>88
[1,7,2,4,6,8,3,5]=>0110000=>48
[8,6,4,2,7,3,5,1]=>1111010=>122
[7,4,6,1,2,3,8,5]=>1001100=>76
[1,8,6,2,7,3,5,4]=>0111010=>58
[1,7,8,6,2,3,5,4]=>0101010=>42
[2,1,8,3,5,7,6,4]=>1011010=>90
[3,5,8,1,7,6,2,4]=>1100010=>98
[2,8,1,3,6,7,5,4]=>1001100=>76
[7,2,4,8,6,1,5,3]=>1110010=>114
[2,4,1,5,6,7,8,9,10,3]=>101000000=>320
[2,3,4,5,6,7,9,1,10,8]=>100000010=>258
[2,3,5,1,6,7,8,9,10,4]=>100100000=>288
[2,3,4,5,6,8,1,9,10,7]=>100000100=>260
[2,3,4,6,1,7,8,9,10,5]=>100010000=>272
[2,3,4,5,7,1,8,9,10,6]=>100001000=>264
[4,1,2,5,6,7,8,9,10,3]=>101000000=>320
[4,3,1,5,6,7,8,10,2,9]=>111000000=>448
[2,6,1,5,3,7,8,9,10,4]=>101100000=>352
[5,3,4,1,6,7,9,2,10,8]=>111000010=>450
[2,3,8,1,6,7,4,9,10,5]=>100110000=>304
[6,3,4,5,1,8,2,9,10,7]=>111000100=>452
[2,3,4,10,1,7,8,9,5,6]=>100010000=>272
[8,2,1,3,4,5,6,7,9]=>11000000=>192
[3,2,4,5,6,7,8,1,9]=>11000000=>192
[9,2,1,3,4,5,6,7,8,10]=>110000000=>384
[8,3,1,2,4,5,6,7,9]=>10100000=>160
[8,2,3,1,4,5,6,7,9]=>11000000=>192
[4,2,3,5,6,7,8,1,9]=>11000000=>192
[6,4,3,2,8,1,7,5]=>1111100=>124
[6,2,4,3,8,1,7,5]=>1110100=>116
[5,8,4,3,1,6,7,2]=>1111000=>120
[8,7,2,4,6,10,1,3,5,9]=>110000100=>388
[2,10,7,9,4,6,8,1,3,5]=>100100100=>292
[6,5,2,4,8,10,1,3,7,9]=>110010000=>400
[2,8,5,7,4,6,10,1,3,9]=>100110000=>304
[10,5,2,4,7,9,6,8,1,3]=>110011000=>408
[10,9,2,8,5,7,4,6,1,3]=>110110001=>433
[8,7,6,5,2,4,10,1,3,9]=>110011100=>412
[10,7,2,6,5,9,4,8,1,3]=>110110100=>436
[6,10,5,9,8,7,2,4,1,3]=>110010110=>406
[4,10,3,9,2,6,8,1,5,7]=>111000000=>448
[4,3,10,7,9,2,6,8,1,5]=>111000100=>452
[3,6,2,5,4,8,10,1,7,9]=>110100000=>416
[3,6,10,2,5,9,4,8,1,7]=>110100000=>416
[3,5,8,2,4,7,6,10,1,9]=>110001000=>392
[3,5,7,10,2,4,6,9,8,1]=>110000010=>386
[10,9,3,5,8,2,4,7,6,1]=>111001001=>457
[8,7,3,6,2,5,4,10,1,9]=>111100100=>484
[7,6,3,5,10,2,4,9,8,1]=>111001010=>458
[3,6,10,9,8,2,5,7,4,1]=>110100011=>419
[10,9,8,7,3,6,2,5,4,1]=>111100111=>487
[5,4,3,8,2,7,6,10,1,9]=>111101000=>488
[5,4,3,7,10,2,6,9,8,1]=>111100010=>482
[5,10,4,9,3,8,2,7,6,1]=>111101000=>488
[4,8,3,7,6,5,2,10,1,9]=>111011000=>472
[4,7,3,6,5,10,2,9,8,1]=>111010010=>466
[4,6,10,3,5,9,8,7,2,1]=>111000110=>454
[10,9,4,8,3,7,6,5,2,1]=>111111001=>505
[7,6,5,4,3,10,2,9,8,1]=>111111010=>506
[6,5,4,10,3,9,8,7,2,1]=>111110110=>502
[5,10,4,9,8,7,6,3,2,1]=>111101110=>494
[4,2,8,1,5,7,6,3]=>1110010=>114
[6,3,7,2,5,4,8,1]=>1111000=>120
[5,4,7,3,2,6,8,1]=>1111000=>120
[5,7,2,6,3,4,8,1]=>1110000=>112
[3,7,5,4,6,2,8,1]=>1101100=>108
[6,8,3,2,1,7,4,5]=>1111000=>120
[4,8,1,7,5,3,2,6]=>1110100=>116
[5,4,3,7,2,8,6,1]=>1111010=>122
[3,6,5,7,2,8,4,1]=>1101100=>108
[4,6,5,3,8,2,1,7]=>1110100=>116
[2,6,5,8,7,3,1,4]=>1010101=>85
[6,3,8,4,1,7,2,5]=>1111000=>120
[7,2,8,1,6,4,3,5]=>1111000=>120
[3,2,8,7,6,4,1,5]=>1101011=>107
[8,2,6,4,3,5,1,7]=>1111000=>120
[5,4,2,8,6,3,7,1]=>1111010=>122
[2,8,7,5,3,1,4,6]=>1010101=>85
[2,5,6,3,1,4,8,7]=>1010001=>81
[2,4,7,8,5,3,1,6]=>1010100=>84
[6,5,3,2,4,1,8,7]=>1110101=>117
[6,5,8,7,3,2,4,1]=>1110101=>117
[2,1,4,7,8,5,3,6]=>1010100=>84
[8,3,1,6,5,7,4,2]=>1111100=>124
[8,5,6,7,3,1,4,2]=>1110100=>116
[8,7,5,3,2,6,4,1]=>1111101=>125
[8,5,3,1,4,6,7,2]=>1110100=>116
[8,5,1,6,4,3,7,2]=>1111100=>124
[6,1,4,3,7,8,2,5]=>1110000=>112
[6,1,2,7,5,8,3,4]=>1010100=>84
[2,7,3,1,4,6,8,5]=>1010100=>84
[2,8,3,1,6,5,7,4]=>1011100=>92
[3,8,5,6,7,1,2,4]=>1000100=>68
[6,5,1,2,8,4,7,3]=>1011100=>92
[2,5,8,1,4,6,7,3]=>1010000=>80
[2,1,8,7,5,4,6,3]=>1011101=>93
[7,8,3,4,1,6,5,2]=>1110100=>116
[8,7,3,4,2,6,5,1]=>1110101=>117
[8,4,5,2,3,7,1,6]=>1101000=>104
[6,4,7,5,2,8,3,1]=>1111100=>124
[4,6,3,8,7,5,1,2]=>1010101=>85
[2,8,4,1,5,7,6,3]=>1011010=>90
[1,8,4,2,5,7,6,3]=>0111010=>58
[2,8,5,4,1,7,6,3]=>1011110=>94
[2,5,8,3,7,1,6,4]=>1011000=>88
[1,8,5,2,4,7,6,3]=>0110110=>54
[1,4,6,2,8,7,5,3]=>0110101=>53
[7,8,2,4,1,6,5,3]=>1110100=>116
[2,4,6,1,8,7,5,3]=>1010101=>85
[2,8,4,5,1,7,6,3]=>1011010=>90
[3,5,8,2,7,6,1,4]=>1100010=>98
[2,1,6,8,7,5,3,4]=>1010101=>85
[1,8,2,4,5,7,6,3]=>0110010=>50
[1,2,8,3,5,7,6,4]=>0011010=>26
[1,3,8,2,5,7,6,4]=>0101010=>42
[2,3,8,1,5,7,6,4]=>1001010=>74
[2,6,1,8,7,5,3,4]=>1010101=>85
[1,6,2,8,7,5,3,4]=>0110101=>53
[1,6,3,8,7,5,2,4]=>0110101=>53
[2,6,3,8,7,5,1,4]=>1010101=>85
[3,2,8,1,5,7,6,4]=>1101010=>106
[3,1,8,2,5,7,6,4]=>1101010=>106
[2,8,1,4,5,7,6,3]=>1010010=>82
[7,8,2,1,4,6,5,3]=>1110100=>116
[2,3,6,8,7,5,1,4]=>1000101=>69
[3,1,6,8,7,2,5,4]=>1101001=>105
[3,8,4,5,1,6,2,7]=>1101000=>104
[6,1,4,5,7,2,3,8]=>1100000=>96
[8,1,4,7,6,3,2,5]=>1110010=>114
[8,3,1,6,4,7,2,5]=>1111000=>120
[5,3,8,6,2,7,1,4]=>1110010=>114
[8,3,6,1,5,7,2,4]=>1110000=>112
[8,4,6,3,1,2,5,7]=>1011000=>88
[6,8,1,4,5,2,3,7]=>1100000=>96
[1,5,8,4,6,2,3,7]=>0101000=>40
[2,1,6,5,3,8,4,7]=>1011100=>92
[5,6,8,1,4,2,3,7]=>1100000=>96
[5,7,4,8,1,2,3,6]=>1001000=>72
[8,2,1,5,3,7,4,6]=>1111000=>120
[4,7,8,1,2,6,3,5]=>1010000=>80
[8,7,1,5,6,2,3,4]=>1100001=>97
[1,6,5,8,7,2,3,4]=>0100101=>37
[3,7,1,6,2,4,8,5]=>1100100=>100
[5,1,2,7,6,8,3,4]=>1010010=>82
[6,1,7,2,5,8,3,4]=>1110000=>112
[1,7,6,5,8,2,3,4]=>0100110=>38
[1,6,8,5,7,2,3,4]=>0100100=>36
[7,5,1,2,6,8,3,4]=>1010100=>84
[6,1,5,2,7,8,3,4]=>1110000=>112
[1,6,3,8,7,2,4,5]=>0110001=>49
[1,7,3,2,4,6,8,5]=>0110100=>52
[8,3,1,4,2,5,7,6]=>1110010=>114
[3,1,2,7,8,4,6,5]=>1001100=>76
[5,1,2,6,8,7,3,4]=>1010001=>81
[1,8,6,2,5,7,3,4]=>0110010=>50
[5,7,8,1,2,6,3,4]=>1010000=>80
[8,1,5,7,6,2,3,4]=>1100010=>98
[7,1,6,8,5,2,3,4]=>1100100=>100
[3,7,1,2,8,4,6,5]=>1001100=>76
[8,3,1,2,7,6,4,5]=>1011010=>90
[1,5,8,7,6,2,3,4]=>0100011=>35
[7,8,6,1,5,2,3,4]=>1100010=>98
[1,9,3,4,5,6,7,8,2]=>01100000=>96
[9,2,3,4,5,6,7,8,1,10]=>110000000=>384
[1,9,8,4,5,6,7,3,2]=>01110001=>113
[1,10,3,4,5,6,7,8,9,2]=>011000000=>192
[1,10,9,4,5,6,7,8,3,2]=>011100001=>225
[7,8,6,3,1,5,2,4]=>1110010=>114
[7,8,1,3,4,5,2,6]=>1100000=>96
[1,7,4,8,2,5,3,6]=>0111000=>56
[3,8,6,1,4,2,7,5]=>1100110=>102
[7,1,8,2,4,6,3,5]=>1110000=>112
[7,6,8,4,1,5,3,2]=>1111010=>122
[7,3,2,8,1,5,4,6]=>1111000=>120
[3,5,4,1,7,2,6,8]=>1101000=>104
[6,4,7,3,2,5,1,8]=>1111000=>120
[7,6,5,3,8,4,1,2]=>1011110=>94
[6,4,5,7,8,1,3,2]=>1101000=>104
[3,7,4,1,6,8,5,2]=>1101100=>108
[3,1,2,7,6,8,5,4]=>1001110=>78
[6,3,2,8,4,5,1,7]=>1111000=>120
[6,1,8,3,5,4,2,7]=>1111000=>120
[3,8,5,2,4,6,1,7]=>1100100=>100
[1,6,4,8,3,5,2,7]=>0111000=>56
[1,5,4,8,6,3,7,2]=>0111010=>58
[4,8,2,5,3,7,1,6]=>1110000=>112
[3,8,4,5,2,6,7,1]=>1101000=>104
[4,1,8,6,5,3,7,2]=>1110110=>118
[5,7,8,4,6,3,2,1]=>1111000=>120
[5,3,2,8,6,4,7,1]=>1111010=>122
[6,8,1,2,7,4,3,5]=>1011000=>88
[5,8,7,3,6,2,4,1]=>1110001=>113
[7,5,2,3,4,8,6,1]=>1100110=>102
[7,3,5,4,2,8,6,1]=>1111010=>122
[5,6,1,3,2,4,7,8]=>1100000=>96
[2,5,1,3,7,8,6,4]=>1001010=>74
[4,3,7,2,1,8,6,5]=>1110110=>118
[4,6,7,2,1,3,5,8]=>1100000=>96
[4,6,2,3,1,5,7,8]=>1100000=>96
[3,6,4,2,5,1,7,8]=>1101000=>104
[3,1,6,4,7,5,2,8]=>1101100=>108
[3,6,2,7,5,4,1,8]=>1101100=>108
[2,4,7,5,3,6,1,8]=>1010100=>84
[2,5,7,3,4,1,6,8]=>1010000=>80
[2,3,5,8,6,4,7,1]=>1001010=>74
[2,4,7,3,8,6,5,1]=>1010110=>86
[3,4,2,7,5,8,6,1]=>1100110=>102
[3,1,5,4,7,8,6,2]=>1101010=>106
[4,5,7,2,3,1,8,6]=>1100010=>98
[3,7,8,1,4,6,5,2]=>1100100=>100
[2,5,8,7,4,1,3,6]=>1001001=>73
[2,6,4,7,5,3,8,1]=>1011100=>92
[6,2,4,7,1,3,8,5]=>1100100=>100
[7,3,5,1,4,2,8,6]=>1110010=>114
[5,4,7,1,3,2,8,6]=>1101010=>106
[6,1,4,7,5,3,8,2]=>1110100=>116
[8,7,4,3,1,5,6,2]=>1111001=>121
[8,7,1,4,3,5,6,2]=>1110001=>113
[6,1,8,4,7,3,2,5]=>1111000=>120
[4,7,3,6,1,2,8,5]=>1010100=>84
[5,2,1,7,4,3,8,6]=>1111010=>122
[4,7,6,2,3,1,8,5]=>1100110=>102
[7,6,8,2,5,3,4,1]=>1110010=>114
[2,3,6,1,8,7,5,4]=>1001101=>77
[2,6,8,7,5,3,1,4]=>1010101=>85
[6,4,1,7,5,2,8,3]=>1111100=>124
[5,7,8,2,3,6,1,4]=>1100000=>96
[4,8,7,1,2,5,6,3]=>1010001=>81
[2,8,7,4,1,5,6,3]=>1011001=>89
[8,6,2,1,5,7,4,3]=>1111010=>122
[3,8,6,7,5,2,1,4]=>1100110=>102
[6,1,3,7,5,8,2,4]=>1100100=>100
[4,7,3,1,8,5,6,2]=>1110100=>116
[2,6,7,5,3,4,8,1]=>1010100=>84
[2,6,4,5,7,3,8,1]=>1011000=>88
[6,1,4,5,8,3,7,2]=>1110000=>112
[6,1,8,5,3,4,7,2]=>1110100=>116
[4,1,5,6,8,3,7,2]=>1110000=>112
[6,4,1,8,7,2,5,3]=>1111001=>121
[8,1,2,3,4,5,6,7,10,9]=>100000001=>257
[1,7,2,3,4,5,6,9,8]=>01000001=>65
[6,9,1,2,3,4,5,7,8]=>10000000=>128
[1,3,8,5,2,7,4,6]=>0101100=>44
[1,3,8,6,7,2,4,5]=>0100010=>34
[2,8,3,7,6,1,4,5]=>1010010=>82
[4,2,7,8,6,1,3,5]=>1100010=>98
[1,3,8,7,6,2,4,5]=>0100011=>35
[7,4,6,8,5,2,3,1]=>1101100=>108
[7,5,3,6,8,2,1,4]=>1110100=>116
[5,2,6,7,8,1,3,4]=>1100000=>96
[4,5,6,8,1,2,7,3]=>1010000=>80
[3,5,8,6,1,2,7,4]=>1001010=>74
[4,2,6,8,7,1,3,5]=>1100001=>97
[1,4,6,8,7,2,3,5]=>0100001=>33
[4,5,3,8,1,7,2,6]=>1110000=>112
[3,5,8,4,1,7,2,6]=>1101000=>104
[1,6,5,7,8,2,3,4]=>0100100=>36
[5,6,4,8,2,3,7,1]=>1101000=>104
[6,5,4,8,1,3,7,2]=>1101100=>108
[7,6,4,8,5,1,3,2]=>1101110=>110
[7,2,6,5,8,1,3,4]=>1100100=>100
[6,3,7,5,2,4,8,1]=>1110100=>116
[8,1,2,7,4,5,3,6]=>1011000=>88
[2,5,7,4,6,1,3,8]=>1001000=>72
[6,1,7,4,5,3,8,2]=>1111000=>120
[8,2,7,3,1,5,4,6]=>1111000=>120
[2,6,4,8,3,1,7,5]=>1011100=>92
[8,1,3,7,5,6,4,2]=>1101100=>108
[1,2,5,3,8,6,7,4]=>0011010=>26
[4,1,6,5,7,8,2,3]=>1100100=>100
[6,1,3,7,4,2,8,5]=>1101100=>108
[7,3,8,4,2,6,5,1]=>1111100=>124
[8,5,3,4,2,7,1,6]=>1110100=>116
[1,3,8,2,5,6,7,4]=>0101000=>40
[1,8,6,7,2,5,4,3]=>0111010=>58
[7,6,8,3,5,4,2,1]=>1111010=>122
[1,6,7,3,8,5,4,2]=>0111100=>60
[8,7,2,4,6,1,5,3]=>1110001=>113
[7,8,6,5,2,4,3,1]=>1110110=>118
[3,6,7,5,2,8,4,1]=>1101100=>108
[5,4,6,7,8,1,3,2]=>1101000=>104
[5,3,6,7,8,1,4,2]=>1110000=>112
[5,3,7,6,8,4,1,2]=>1011010=>90
[7,5,3,2,8,6,4,1]=>1111110=>126
[5,4,8,6,7,2,3,1]=>1101010=>106
[5,4,8,6,3,1,2,7]=>1011010=>90
[4,5,7,3,6,2,8,1]=>1110000=>112
[4,5,6,3,8,2,7,1]=>1110000=>112
[5,4,8,7,2,1,3,6]=>1101001=>105
[2,5,4,7,8,1,3,6]=>1001000=>72
[5,3,6,4,8,2,7,1]=>1111000=>120
[5,3,7,4,6,2,8,1]=>1111000=>120
[8,2,6,3,7,4,5,1]=>1111000=>120
[8,2,4,7,3,5,6,1]=>1110000=>112
[8,2,6,5,7,3,4,1]=>1110100=>116
[4,5,6,2,7,3,8,1]=>1110000=>112
[5,4,6,2,8,3,7,1]=>1111000=>120
[8,4,6,1,7,2,5,3]=>1111000=>120
[5,2,1,6,3,8,7,4]=>1111001=>121
[4,5,6,3,7,1,8,2]=>1110000=>112
[6,3,2,8,5,4,1,7]=>1111100=>124
[4,3,1,5,2,8,6,7]=>1110010=>114
[8,5,4,1,3,2,6,7]=>1101100=>108
[3,8,4,1,5,2,6,7]=>1101000=>104
[2,5,4,3,8,1,6,7]=>1011000=>88
[2,5,7,4,3,1,6,8]=>1011000=>88
[5,3,4,2,7,1,6,8]=>1110000=>112
[3,7,5,4,1,2,6,8]=>1001100=>76
[4,2,5,1,3,8,7,6]=>1100011=>99
[4,3,5,1,2,7,6,8]=>1010010=>82
[5,3,4,1,7,2,6,8]=>1110000=>112
[4,1,6,3,5,2,7,8]=>1110000=>112
[4,2,1,8,6,3,7,5]=>1110110=>118
[3,1,7,2,5,6,4,8]=>1101000=>104
[3,7,5,4,2,1,6,8]=>1101100=>108
[3,7,2,4,1,6,5,8]=>1100100=>100
[7,3,2,1,6,4,5,8]=>1111000=>120
[2,8,6,1,7,4,3,5]=>1011010=>90
[2,5,4,6,1,3,7,8]=>1001000=>72
[2,5,6,4,1,3,7,8]=>1001000=>72
[8,5,2,6,1,3,7,4]=>1101100=>108
[7,1,5,6,3,2,4,8]=>1110000=>112
[7,1,2,5,4,6,3,8]=>1011000=>88
[2,4,1,6,5,3,7,8]=>1010100=>84
[4,1,2,7,5,6,3,8]=>1010100=>84
[7,1,2,6,5,4,3,8]=>1011100=>92
[8,2,1,5,6,3,7,4]=>1111000=>120
[2,8,5,1,6,4,7,3]=>1011100=>92
[6,1,4,5,3,2,7,8]=>1110000=>112
[3,1,6,5,4,2,7,8]=>1101100=>108
[3,1,4,6,5,2,7,8]=>1100100=>100
[6,4,1,5,3,2,8,7]=>1111001=>121
[2,1,8,6,3,7,5,4]=>1011110=>94
[5,8,3,1,7,6,4,2]=>1111010=>122
[7,6,3,2,8,5,1,4]=>1110110=>118
[5,6,3,8,7,4,1,2]=>1011001=>89
[5,2,6,8,7,4,1,3]=>1101001=>105
[4,3,8,5,7,2,6,1]=>1110100=>116
[6,3,8,5,4,1,2,7]=>1011100=>92
[6,3,8,4,5,1,2,7]=>1011000=>88
[5,2,3,1,4,8,6,7]=>1100010=>98
[5,4,1,3,2,8,6,7]=>1101010=>106
[5,1,3,4,2,8,6,7]=>1100010=>98
[5,2,1,4,3,8,6,7]=>1110010=>114
[4,2,7,3,8,5,1,6]=>1110100=>116
[4,7,3,2,8,5,1,6]=>1110100=>116
[5,3,1,2,4,8,6,7]=>1010010=>82
[5,4,3,1,2,8,6,7]=>1011010=>90
[5,3,4,1,2,8,6,7]=>1010010=>82
[5,2,3,4,1,8,6,7]=>1100010=>98
[5,1,7,3,4,6,8,2]=>1110000=>112
[5,8,7,4,3,1,6,2]=>1111001=>121
[6,8,1,3,4,5,7,2]=>1100000=>96
[3,5,2,8,1,6,7,4]=>1101000=>104
[3,1,7,8,2,5,4,6]=>1101000=>104
[6,2,3,7,4,1,8,5]=>1101100=>108
[6,3,7,4,1,2,5,8]=>1011000=>88
[7,2,6,8,4,3,1,5]=>1111000=>120
[3,7,2,8,6,5,1,4]=>1100110=>102
[3,6,7,5,1,2,4,8]=>1000100=>68
[7,4,5,1,8,2,3,6]=>1101000=>104
[7,2,3,1,8,4,5,6]=>1101000=>104
[2,1,4,8,3,7,5,6]=>1010100=>84
[4,8,1,6,7,3,2,5]=>1110000=>112
[1,2,7,8,4,3,6,5]=>0011100=>28
[5,8,1,4,3,2,7,6]=>1110010=>114
[4,8,1,3,5,6,2,7]=>1100000=>96
[5,3,7,8,4,2,6,1]=>1111000=>120
[6,3,7,8,2,4,5,1]=>1110000=>112
[8,5,2,4,3,1,7,6]=>1110110=>118
[7,5,4,2,3,1,8,6]=>1101110=>110
[3,5,6,4,8,1,7,2]=>1101000=>104
[3,5,4,6,7,1,8,2]=>1101000=>104
[1,4,2,6,5,8,7,3]=>0110101=>53
[1,3,2,6,4,8,7,5]=>0101101=>45
[1,4,2,5,3,8,7,6]=>0110011=>51
[1,5,2,6,4,8,7,3]=>0111001=>57
[1,6,2,5,3,8,7,4]=>0111001=>57
[2,5,1,4,3,8,7,6]=>1010011=>83
[1,7,3,5,4,8,6,2]=>0111010=>58
[1,8,2,6,3,7,5,4]=>0111100=>60
[1,8,3,6,4,7,5,2]=>0111100=>60
[1,7,2,6,4,8,5,3]=>0111100=>60
[1,7,2,6,3,8,5,4]=>0111100=>60
[1,5,2,7,4,8,6,3]=>0111010=>58
[1,4,2,8,5,7,6,3]=>0110110=>54
[4,8,1,3,2,6,5,7]=>1100100=>100
[1,5,3,8,4,7,6,2]=>0111010=>58
[1,8,4,7,3,6,5,2]=>0111100=>60
[2,6,3,8,1,5,4,7]=>1011000=>88
[8,3,1,4,2,6,5,7]=>1110100=>116
[4,8,7,3,5,2,1,6]=>1110001=>113
[6,8,7,3,5,2,4,1]=>1110001=>113
[8,3,5,1,2,6,4,7]=>1011000=>88
[8,6,3,1,5,4,2,7]=>1111010=>122
[8,6,4,1,5,3,2,7]=>1111010=>122
[8,6,5,4,1,3,2,7]=>1101110=>110
[5,3,8,7,4,6,2,1]=>1111001=>121
[2,3,8,7,4,6,1,5]=>1001001=>73
[8,3,5,7,4,1,2,6]=>1011000=>88
[4,8,5,3,1,2,7,6]=>1010110=>86
[6,8,7,3,1,5,4,2]=>1111001=>121
[6,8,5,4,1,3,7,2]=>1101100=>108
[2,5,8,7,4,6,3,1]=>1011001=>89
[4,8,7,6,5,1,3,2]=>1100111=>103
[3,8,7,5,1,6,2,4]=>1100101=>101
[2,3,8,7,5,6,1,4]=>1000101=>69
[2,8,7,1,3,6,4,5]=>1001001=>73
[8,5,4,7,2,1,3,6]=>1101100=>108
[6,8,7,3,5,2,1,4]=>1110001=>113
[3,5,8,6,4,2,7,1]=>1101010=>106
[6,8,4,1,5,2,7,3]=>1111000=>120
[6,8,2,1,7,5,3,4]=>1110100=>116
[5,8,4,6,1,2,7,3]=>1011000=>88
[2,4,8,6,5,1,7,3]=>1010110=>86
[4,8,7,6,5,2,1,3]=>1100111=>103
[4,8,7,5,1,6,2,3]=>1100101=>101
[4,5,2,1,8,6,7,3]=>1110010=>114
[4,5,8,3,1,6,7,2]=>1110000=>112
[5,7,2,8,4,6,1,3]=>1101000=>104
[6,7,3,2,4,8,5,1]=>1110100=>116
[7,2,8,6,4,5,1,3]=>1101010=>106
[8,7,2,6,5,1,3,4]=>1100101=>101
[5,2,7,8,4,1,3,6]=>1101000=>104
[2,7,8,6,4,1,3,5]=>1001010=>74
[7,6,3,5,2,8,4,1]=>1111010=>122
[6,2,7,4,8,5,3,1]=>1111100=>124
[8,6,5,1,7,2,4,3]=>1110110=>118
[6,8,5,1,7,3,2,4]=>1110100=>116
[1,6,8,3,7,4,2,5]=>0111000=>56
[5,1,6,3,4,8,2,7]=>1110000=>112
[3,5,2,6,4,8,1,7]=>1101000=>104
[3,5,2,4,8,1,7,6]=>1100010=>98
[6,3,8,2,4,1,7,5]=>1110100=>116
[4,6,3,8,7,5,2,1]=>1110101=>117
[6,3,8,7,5,4,2,1]=>1111101=>125
[6,8,4,2,1,7,5,3]=>1111100=>124
[5,2,6,4,3,8,1,7]=>1111000=>120
[6,5,3,1,4,8,2,7]=>1110100=>116
[3,1,7,8,6,4,2,5]=>1101010=>106
[3,8,1,7,6,2,5,4]=>1101010=>106
[8,1,7,6,4,2,5,3]=>1111010=>122
[7,2,6,3,8,5,4,1]=>1111100=>124
[7,3,8,6,4,1,5,2]=>1111010=>122
[1,7,5,8,2,4,3,6]=>0110100=>52
[6,1,5,2,4,8,3,7]=>1110000=>112
[1,5,6,3,8,2,4,7]=>0110000=>48
[8,7,1,3,6,5,2,4]=>1100101=>101
[2,6,7,4,3,8,5,1]=>1011100=>92
[5,2,4,7,3,8,6,1]=>1110010=>114
[1,5,8,7,2,4,6,3]=>0110001=>49
[1,4,8,7,3,6,5,2]=>0110101=>53
[8,3,7,2,5,1,6,4]=>1111000=>120
[3,7,2,8,1,5,4,6]=>1101000=>104
[3,2,6,1,5,8,4,7]=>1101000=>104
[7,2,1,5,8,4,3,6]=>1111000=>120
[7,2,8,1,4,3,6,5]=>1110100=>116
[1,7,8,3,2,6,5,4]=>0111100=>60
[1,7,4,8,3,2,6,5]=>0111100=>60
[1,7,5,4,8,3,2,6]=>0111100=>60
[6,1,5,4,3,8,2,7]=>1111000=>120
[1,7,4,5,6,8,2,3]=>0101000=>40
[1,3,4,5,6,7,9,8,2]=>01000001=>65
[2,3,4,5,6,7,9,8,1,10]=>100000010=>258
[7,3,4,5,6,8,1,2,9]=>10100000=>160
[2,3,4,5,7,6,8,1,9]=>10000100=>132
[1,8,4,5,6,7,9,2,3]=>01010000=>80
[1,3,4,5,6,8,7,9,2]=>01000010=>66
[1,3,4,5,6,7,8,10,9,2]=>010000001=>129
[1,6,4,2,3,5,7,8]=>0101000=>40
[1,8,7,2,3,4,5,6]=>0100001=>33
[1,5,8,6,2,3,4,7]=>0100010=>34
[1,6,5,7,2,3,4,8]=>0100100=>36
[1,7,5,6,2,3,4,8]=>0100100=>36
[1,3,2,7,6,4,5,8]=>0101010=>42
[1,2,3,7,6,4,5,8]=>0001010=>10
[1,5,4,2,3,7,6,8]=>0101010=>42
[1,5,4,2,3,8,6,7]=>0101010=>42
[1,3,2,8,6,4,5,7]=>0101010=>42
[1,7,5,8,2,3,4,6]=>0100100=>36
[1,8,7,5,2,3,4,6]=>0100101=>37
[2,1,5,8,6,3,7,4]=>1011010=>90
[2,5,8,4,6,1,7,3]=>1011000=>88
[2,5,3,8,6,1,7,4]=>1011010=>90
[2,6,3,5,8,1,7,4]=>1011000=>88
[6,3,2,5,8,1,7,4]=>1111000=>120
[5,3,2,8,6,1,7,4]=>1111010=>122
[5,8,4,6,1,3,7,2]=>1101000=>104
[5,3,8,6,1,4,7,2]=>1110010=>114
[2,6,5,4,8,1,7,3]=>1011100=>92
[8,3,5,7,2,6,4,1]=>1111000=>120
[2,4,6,8,5,3,7,1]=>1010100=>84
[2,4,8,1,7,6,5,3]=>1010110=>86
[4,3,8,1,5,7,6,2]=>1110010=>114
[3,8,4,1,5,7,6,2]=>1101010=>106
[4,3,6,8,5,2,7,1]=>1110100=>116
[8,5,4,7,2,6,3,1]=>1111100=>124
[3,6,8,5,4,2,7,1]=>1101100=>108
[3,6,4,8,5,2,7,1]=>1101100=>108
[3,6,4,1,8,2,7,5]=>1101100=>108
[3,6,4,1,5,2,8,7]=>1101001=>105
[4,8,6,5,1,3,7,2]=>1100110=>102
[2,8,3,5,6,7,1,4]=>1010000=>80
[5,6,2,4,7,1,8,3]=>1110000=>112
[2,7,5,4,6,1,8,3]=>1011100=>92
[2,3,7,4,6,1,8,5]=>1001100=>76
[2,6,7,4,1,3,8,5]=>1001100=>76
[6,5,7,4,1,3,8,2]=>1101100=>108
[2,4,6,3,5,7,8,1]=>1010000=>80
[4,1,6,3,5,7,8,2]=>1110000=>112
[3,6,4,2,5,7,8,1]=>1101000=>104
[2,3,6,1,5,7,8,4]=>1001000=>72
[4,3,6,2,5,7,8,1]=>1110000=>112
[4,6,1,2,5,7,8,3]=>1010000=>80
[2,6,4,1,5,7,8,3]=>1011000=>88
[2,4,1,6,5,7,8,3]=>1010100=>84
[7,5,4,2,6,1,8,3]=>1111100=>124
[4,7,3,1,8,6,5,2]=>1110110=>118
[5,6,4,2,7,1,8,3]=>1111000=>120
[4,2,7,5,3,1,8,6]=>1110110=>118
[5,3,6,4,8,2,1,7]=>1111000=>120
[7,3,2,5,4,1,8,6]=>1111010=>122
[7,3,2,5,1,8,6,4]=>1111010=>122
[4,6,3,8,7,2,1,5]=>1110001=>113
[4,7,6,3,8,2,1,5]=>1110010=>114
[4,7,3,8,6,2,1,5]=>1110010=>114
[5,7,3,2,6,1,8,4]=>1111000=>120
[5,7,3,2,6,4,1,8]=>1111000=>120
[2,7,5,3,1,8,6,4]=>1011110=>94
[7,5,2,8,4,3,1,6]=>1111100=>124
[7,3,2,4,1,8,6,5]=>1110110=>118
[8,4,3,2,7,5,1,6]=>1111100=>124
[4,3,7,5,8,2,1,6]=>1110100=>116
[4,3,7,5,2,6,1,8]=>1110100=>116
[8,4,5,3,7,2,1,6]=>1111000=>120
[4,3,5,2,8,6,1,7]=>1110010=>114
[4,5,3,6,8,2,1,7]=>1110000=>112
[1,2,3,4,5,9,7,8,6]=>00000110=>6
[1,2,3,4,9,6,7,8,5]=>00001100=>12
[1,2,3,9,5,6,7,8,4]=>00011000=>24
[1,2,9,4,5,6,7,8,3]=>00110000=>48
[1,2,3,4,5,6,10,8,9,7]=>000000110=>6
[1,2,3,4,9,7,6,8,5]=>00001110=>14
[1,2,3,4,5,10,7,8,9,6]=>000001100=>12
[1,2,8,6,4,5,7,3]=>0011010=>26
[1,2,3,9,6,5,7,8,4]=>00011100=>28
[1,2,3,4,10,6,7,8,9,5]=>000011000=>24
[1,8,5,3,4,6,7,2]=>0110100=>52
[1,2,9,5,4,6,7,8,3]=>00111000=>56
[1,2,3,10,5,6,7,8,9,4]=>000110000=>48
[1,9,4,3,5,6,7,8,2]=>01110000=>112
[1,2,10,4,5,6,7,8,9,3]=>001100000=>96
[9,3,2,4,5,6,7,8,1]=>11100000=>224
[10,2,3,4,5,6,7,8,9,1]=>110000000=>384
[3,5,6,7,8,9,4,2,1]=>11010000=>208
[7,8,4,1,6,3,5,2]=>1111000=>120
[8,7,5,6,1,3,4,2]=>1100101=>101
[1,2,3,5,7,4,6,9,8]=>00010001=>17
[1,2,3,6,4,7,5,9,8]=>00011001=>25
[1,2,3,4,6,8,5,7,10,9]=>000010001=>17
[1,2,3,4,6,8,5,7,9]=>00001000=>8
[1,2,3,4,7,5,8,6,9]=>00001100=>12
[1,2,3,4,7,5,8,6,10,9]=>000011001=>25
[1,2,3,5,7,4,6,9,8,10]=>000100010=>34
[1,2,5,7,3,4,6,9,8]=>00100001=>33
[1,2,4,5,7,3,6,9,8]=>00100001=>33
[1,2,6,3,4,7,5,9,8]=>00101001=>41
[1,2,5,6,3,7,4,9,8]=>00110001=>49
[1,2,3,6,4,7,5,9,8,10]=>000110010=>50
[3,2,6,4,1,8,5,7]=>1101100=>108
[2,8,6,5,3,1,4,7]=>1010110=>86
[5,4,8,6,2,3,1,7]=>1101010=>106
[4,8,7,5,2,3,1,6]=>1100101=>101
[5,2,4,7,6,8,3,1]=>1110010=>114
[3,4,2,8,7,5,1,6]=>1100101=>101
[8,5,7,6,3,2,4,1]=>1110110=>118
[6,4,1,8,7,3,2,5]=>1111001=>121
[1,8,5,4,2,7,3,6]=>0111100=>60
[3,7,6,1,5,8,4,2]=>1101010=>106
[3,6,5,8,2,7,4,1]=>1101100=>108
[8,3,2,7,4,6,5,1]=>1111100=>124
[7,5,8,4,1,3,6,2]=>1101100=>108
[7,1,6,2,3,8,4,5]=>1101000=>104
[6,4,7,1,3,2,8,5]=>1101100=>108
[5,1,3,8,7,2,6,4]=>1101001=>105
[8,7,1,6,2,5,3,4]=>1110001=>113
[3,8,5,2,4,7,6,1]=>1100110=>102
[7,1,5,2,4,8,3,6]=>1110000=>112
[3,8,5,1,4,7,2,6]=>1100100=>100
[7,2,5,4,1,3,8,6]=>1101010=>106
[7,5,8,1,6,3,2,4]=>1110100=>116
[7,1,4,8,5,6,2,3]=>1100100=>100
[2,3,1,9,4,5,6,7,8]=>10010000=>144
[4,9,1,2,3,5,6,7,8]=>10000000=>128
[3,9,1,2,4,5,6,7,8]=>10000000=>128
[6,8,1,9,2,3,4,5,7]=>11000000=>192
[7,10,1,2,3,4,5,6,8,9]=>100000000=>256
[6,10,1,2,3,4,5,7,8,9]=>100000000=>256
[4,8,1,2,3,9,5,6,7]=>10001000=>136
[3,8,1,2,4,5,9,6,7]=>10000100=>132
[4,10,1,2,3,5,6,7,8,9]=>100000000=>256
[3,10,1,2,4,5,6,7,8,9]=>100000000=>256
[1,8,2,3,4,5,6,7,9]=>01000000=>64
[7,4,6,1,3,2,5,8]=>1101000=>104
[1,4,5,8,6,3,2,7]=>0110010=>50
[8,4,5,7,2,6,1,3]=>1101000=>104
[4,5,2,6,7,3,1,8]=>1110000=>112
[8,1,7,5,3,6,2,4]=>1110100=>116
[5,2,6,3,1,7,8,4]=>1111000=>120
[4,3,5,1,6,7,8,2]=>1110000=>112
[5,7,6,1,2,3,8,4]=>1001010=>74
[3,6,7,5,1,2,8,4]=>1001100=>76
[1,7,6,8,5,2,4,3]=>0110110=>54
[5,7,6,8,1,2,4,3]=>1010010=>82
[5,6,3,7,1,4,8,2]=>1110000=>112
[5,3,2,1,8,6,4,7]=>1111010=>122
[9,8,7,5,6,4,3,2,1]=>11111011=>251
[2,1,9,8,6,7,5,4,3]=>10111101=>189
[10,9,8,7,5,6,4,3,2,1]=>111110111=>503
[9,8,7,5,4,6,3,2,1]=>11111011=>251
[9,8,7,4,6,5,3,2,1]=>11111011=>251
[2,1,9,8,6,5,7,4,3]=>10111101=>189
[2,1,9,8,5,7,6,4,3]=>10111101=>189
[2,1,10,9,8,6,7,5,4,3]=>101111011=>379
[1,8,7,6,5,4,3,2,9]=>01111110=>126
[1,9,8,7,6,5,4,3,2,10]=>011111110=>254
[2,1,8,7,6,5,4,3,9]=>10111110=>190
[2,8,9,7,6,5,4,3,1]=>10111110=>190
[7,8,6,1,4,5,2,3]=>1100010=>98
[1,8,5,4,6,7,2,3]=>0101100=>44
[6,5,8,3,7,2,1,4]=>1110100=>116
[7,8,5,3,6,2,1,4]=>1110100=>116
[7,8,5,3,6,2,4,1]=>1110100=>116
[7,8,4,3,2,6,5,1]=>1111100=>124
[1,8,4,3,2,6,7,5]=>0111100=>60
[5,4,3,8,2,1,7,6]=>1111010=>122
[6,4,8,3,2,1,7,5]=>1111100=>124
[1,8,4,3,2,7,6,5]=>0111110=>62
[6,5,8,3,1,2,7,4]=>1011100=>92
[1,8,6,7,3,2,4,5]=>0110010=>50
[7,8,6,1,3,2,4,5]=>1100010=>98
[1,8,4,3,2,7,5,6]=>0111100=>60
[5,4,3,8,2,1,6,7]=>1111000=>120
[1,8,4,3,2,5,7,6]=>0111010=>58
[5,4,3,8,2,6,7,1]=>1111000=>120
[4,5,6,7,8,1,2,9,3]=>10100000=>160
[4,5,6,7,1,2,8,9,3]=>10100000=>160
[4,5,6,1,2,7,8,9,3]=>10100000=>160
[4,5,1,2,6,7,8,9,3]=>10100000=>160
[8,6,3,2,5,4,7,1]=>1111010=>122
[7,2,3,4,5,8,1,6]=>1100000=>96
[7,2,8,1,5,3,4,6]=>1110000=>112
[4,8,2,5,7,3,1,6]=>1110000=>112
[3,8,6,2,7,4,5,1]=>1101010=>106
[7,3,6,2,8,1,5,4]=>1111000=>120
[8,1,5,2,3,7,6,4]=>1101010=>106
[6,4,2,3,7,8,5,1]=>1101100=>108
[4,3,6,2,1,8,7,5]=>1110101=>117
[3,7,4,5,1,6,2,8]=>1101000=>104
[3,6,4,5,8,2,1,7]=>1101000=>104
[6,1,4,5,2,8,7,3]=>1110001=>113
[7,2,4,5,1,6,3,8]=>1110000=>112
[7,5,4,1,6,3,2,8]=>1111100=>124
[1,5,4,8,6,3,2,7]=>0111010=>58
[7,5,4,8,6,3,1,2]=>1011110=>94
[1,8,7,5,3,6,4,2]=>0111101=>61
[8,3,7,4,1,6,2,5]=>1111000=>120
[8,5,4,1,6,3,2,7]=>1111100=>124
[1,7,4,2,6,5,3,8]=>0111100=>60
[8,2,1,5,6,7,3,4]=>1110000=>112
[6,3,1,8,4,7,2,5]=>1111000=>120
[7,1,4,8,6,3,2,5]=>1110010=>114
[4,1,8,5,6,7,2,3]=>1100100=>100
[5,7,4,8,6,2,1,3]=>1101010=>106
[5,3,6,8,2,7,1,4]=>1110000=>112
[6,3,7,4,8,2,1,5]=>1111000=>120
[5,3,6,1,4,7,2,8]=>1110000=>112
[4,3,6,8,2,7,1,5]=>1110000=>112
[5,3,7,4,8,2,1,6]=>1111000=>120
[5,3,8,4,1,6,2,7]=>1111000=>120
[5,3,8,1,4,7,2,6]=>1110000=>112
[5,8,4,1,6,3,2,7]=>1111000=>120
[7,3,8,4,1,6,2,5]=>1111000=>120
[1,5,8,3,6,7,4,2]=>0111000=>56
[1,8,2,5,6,7,3,4]=>0110000=>48
[7,8,4,1,6,5,2,3]=>1101100=>108
[6,3,8,1,5,7,2,4]=>1110000=>112
[8,3,1,2,5,7,4,6]=>1011000=>88
[8,1,4,2,6,5,3,7]=>1110100=>116
[7,8,1,2,3,4,5,9,6]=>10000100=>132
[2,8,9,1,3,4,5,6,7]=>10000000=>128
[2,8,9,10,1,3,4,5,6,7]=>100000000=>256
[7,1,8,2,9,3,4,5,6]=>11100000=>224
[6,1,7,2,8,3,9,4,5]=>11110000=>240
[5,1,6,2,7,3,8,4,9]=>11110000=>240
[8,1,9,2,10,3,4,5,6,7]=>111000000=>448
[7,1,8,2,3,9,4,5,6]=>11010000=>208
[7,1,8,2,9,3,10,4,5,6]=>111100000=>480
[6,1,7,2,8,3,4,9,5]=>11101000=>232
[5,1,6,2,7,3,9,4,8]=>11110000=>240
[5,1,6,2,7,3,8,4,10,9]=>111100001=>481
[4,1,5,2,7,3,8,6,9]=>11100100=>228
[4,1,5,2,6,3,8,7,10,9]=>111000101=>453
[5,1,3,7,4,8,2,6]=>1101000=>104
[5,1,3,4,7,8,2,6]=>1100000=>96
[2,5,8,7,4,3,6,1]=>1011001=>89
[5,1,7,8,3,4,2,6]=>1110000=>112
[2,5,4,8,3,7,6,1]=>1011010=>90
[5,6,8,2,3,4,1,7]=>1100000=>96
[2,3,5,7,4,6,8,1]=>1001000=>72
[4,5,2,3,8,6,1,7]=>1100010=>98
[3,7,4,5,8,1,2,6]=>1001000=>72
[3,7,8,1,4,5,2,6]=>1100000=>96
[5,8,2,1,6,3,4,7]=>1110000=>112
[4,8,1,3,7,5,2,6]=>1100100=>100
[2,4,7,8,5,3,6,1]=>1010100=>84
[5,3,1,4,7,2,8,6]=>1110010=>114
[4,3,8,5,1,2,7,6]=>1010110=>86
[2,4,7,5,8,3,6,1]=>1010100=>84
[4,3,5,8,2,1,7,6]=>1110010=>114
[4,8,5,3,7,1,2,6]=>1010100=>84
[4,8,5,7,3,1,2,6]=>1010100=>84
[4,8,7,5,1,3,2,6]=>1100101=>101
[4,2,8,5,1,3,6,7]=>1100100=>100
[3,7,8,4,1,5,2,6]=>1101000=>104
[3,4,7,5,8,2,1,6]=>1100100=>100
[1,8,5,7,2,4,3,6]=>0110100=>52
[1,8,5,4,2,3,6,7]=>0101100=>44
[1,3,6,8,5,4,2,7]=>0101100=>44
[1,6,3,8,2,7,4,5]=>0111000=>56
[1,4,2,7,5,8,3,6]=>0110100=>52
[1,8,2,3,6,7,5,4]=>0101100=>44
[1,3,6,8,2,7,5,4]=>0101100=>44
[1,6,5,4,3,8,2,7]=>0111100=>60
[1,8,3,4,5,6,2,7]=>0110000=>48
[1,8,3,6,2,4,5,7]=>0110000=>48
[1,4,5,8,3,6,2,7]=>0110000=>48
[1,2,7,8,4,5,3,6]=>0011000=>24
[7,6,3,8,5,4,2,1]=>1111110=>126
[6,2,8,7,5,4,1,3]=>1101101=>109
[6,2,8,4,3,7,1,5]=>1111000=>120
[5,2,8,4,3,1,7,6]=>1111010=>122
[1,5,7,3,6,2,8,4]=>0111000=>56
[1,2,5,4,8,3,7,6]=>0011010=>26
[1,4,3,6,8,7,2,5]=>0110001=>49
[3,2,5,7,6,8,1,4]=>1100010=>98
[5,3,2,6,8,4,7,1]=>1111000=>120
[3,1,8,6,4,7,2,5]=>1101010=>106
[3,1,6,8,5,4,2,7]=>1101100=>108
[5,3,2,8,7,6,4,1]=>1111011=>123
[5,3,8,2,7,6,1,4]=>1110010=>114
[6,5,4,8,3,7,2,1]=>1111100=>124
[4,8,5,1,3,7,2,6]=>1100100=>100
[4,3,8,7,2,6,5,1]=>1110101=>117
[2,7,5,1,8,4,6,3]=>1011100=>92
[7,8,5,2,1,6,4,3]=>1111100=>124
[7,6,4,8,1,2,5,3]=>1011010=>90
[7,5,4,8,3,2,6,1]=>1111100=>124
[8,6,4,7,3,2,1,5]=>1111010=>122
[3,8,5,6,2,7,1,4]=>1100100=>100
[2,4,5,8,7,3,1,6]=>1010001=>81
[2,4,5,8,6,7,1,3]=>1000010=>66
[4,3,1,5,6,2,8,7]=>1110001=>113
[4,1,5,8,6,7,2,3]=>1100010=>98
[4,3,7,6,1,2,8,5]=>1010110=>86
[4,7,5,6,1,2,8,3]=>1010100=>84
[4,3,7,5,6,2,8,1]=>1110100=>116
[4,5,1,8,6,7,3,2]=>1110010=>114
[3,4,5,8,6,7,2,1]=>1100010=>98
[2,1,5,8,6,7,4,3]=>1011010=>90
[3,4,5,8,7,1,2,6]=>1000001=>65
[4,7,1,5,6,2,8,3]=>1110000=>112
[2,6,4,7,1,3,8,5]=>1001100=>76
[5,3,8,6,4,7,2,1]=>1111010=>122
[6,4,1,5,7,8,3,2]=>1111000=>120
[3,6,4,7,2,1,8,5]=>1101100=>108
[3,8,4,6,1,7,2,5]=>1101000=>104
[3,8,5,6,4,7,2,1]=>1101100=>108
[3,8,4,5,6,7,2,1]=>1101000=>104
[3,8,6,5,2,7,4,1]=>1101110=>110
[3,8,7,5,2,1,4,6]=>1100101=>101
[3,8,6,5,1,7,2,4]=>1100110=>102
[6,4,1,7,3,2,8,5]=>1111100=>124
[5,1,4,6,7,2,8,3]=>1110000=>112
[6,5,4,7,1,3,8,2]=>1101100=>108
[2,1,6,5,3,7,8,4]=>1011100=>92
[6,1,4,7,2,3,8,5]=>1100100=>100
[2,1,3,4,5,6,8,9,7]=>10000010=>130
[2,1,3,4,5,6,7,9,8]=>10000001=>129
[2,1,3,4,5,6,7,9,10,8]=>100000010=>258
[2,3,1,4,5,6,8,9,7]=>10000010=>130
[1,3,2,4,5,6,8,9,7]=>01000010=>66
[2,3,1,4,5,6,7,9,8]=>10000001=>129
[1,3,2,4,5,6,7,9,8]=>01000001=>65
[2,1,3,4,5,6,7,8,10,9]=>100000001=>257
[1,6,2,5,4,8,3,7]=>0111000=>56
[4,1,2,7,5,8,3,6]=>1010100=>84
[6,1,3,5,8,2,4,7]=>1100000=>96
[5,6,4,3,1,8,2,7]=>1111000=>120
[6,2,3,5,8,1,4,7]=>1100000=>96
[6,7,2,3,8,4,5,1]=>1101000=>104
[6,7,2,1,3,8,4,5]=>1101000=>104
[5,7,4,1,8,3,2,6]=>1111000=>120
[4,1,7,5,8,3,6,2]=>1110100=>116
[6,7,1,3,8,4,5,2]=>1101000=>104
[1,6,7,4,3,8,5,2]=>0111100=>60
[6,1,7,4,2,8,5,3]=>1111100=>124
[2,1,6,7,4,3,8,5]=>1011100=>92
[6,7,3,2,1,8,4,5]=>1111000=>120
[2,5,7,3,1,4,8,6]=>1010010=>82
[6,7,3,2,8,4,5,1]=>1111000=>120
[1,2,6,7,4,3,8,5]=>0011100=>28
[2,7,1,8,4,6,3,5]=>1011000=>88
[2,7,5,8,1,6,3,4]=>1010100=>84
[6,7,1,8,4,5,3,2]=>1111000=>120
[8,3,7,6,1,2,5,4]=>1011010=>90
[8,7,3,4,6,2,5,1]=>1110001=>113
[8,2,5,7,1,4,6,3]=>1110000=>112
[8,2,4,7,1,5,6,3]=>1110000=>112
[8,2,3,4,7,1,5,6]=>1100000=>96
[8,7,3,5,6,2,4,1]=>1110001=>113
[8,7,4,6,5,2,3,1]=>1101101=>109
[8,4,6,7,5,1,2,3]=>1001100=>76
[8,4,6,7,5,1,3,2]=>1101100=>108
[8,3,5,7,6,1,4,2]=>1110010=>114
[8,7,3,6,2,1,5,4]=>1111001=>121
[8,7,3,4,6,2,1,5]=>1110001=>113
[8,7,4,6,5,2,1,3]=>1101101=>109
[8,6,5,2,7,4,3,1]=>1111110=>126
[8,4,3,7,6,5,1,2]=>1011110=>94
[8,5,6,7,4,1,3,2]=>1101100=>108
[8,5,7,6,4,1,2,3]=>1001110=>78
[8,4,2,7,5,1,6,3]=>1111100=>124
[8,3,4,2,7,5,6,1]=>1110100=>116
[8,4,7,6,5,1,2,3]=>1001110=>78
[8,3,5,2,7,4,6,1]=>1111000=>120
[8,5,2,6,7,4,1,3]=>1101100=>108
[8,5,3,7,6,4,1,2]=>1011110=>94
[8,6,2,5,7,3,1,4]=>1110010=>114
[8,6,2,4,7,3,1,5]=>1110010=>114
[8,5,2,3,7,4,1,6]=>1101100=>108
[8,5,3,2,7,6,4,1]=>1111110=>126
[8,6,1,5,4,3,2,7]=>1111010=>122
[2,4,5,8,3,1,6,7]=>1010000=>80
[2,7,4,6,1,5,8,3]=>1011000=>88
[2,4,3,8,5,1,6,7]=>1010100=>84
[7,8,3,2,5,4,6,1]=>1111000=>120
[1,5,6,7,3,8,2,4]=>0110000=>48
[1,6,5,4,8,3,2,7]=>0111100=>60
[7,2,1,6,4,8,5,3]=>1111100=>124
[7,5,8,3,2,4,6,1]=>1110100=>116
[3,8,7,2,4,6,5,1]=>1100101=>101
[1,3,7,6,4,8,5,2]=>0101110=>46
[3,1,8,7,6,4,2,5]=>1101011=>107
[3,1,8,7,5,4,2,6]=>1101101=>109
[3,1,7,6,5,4,2,8]=>1101110=>110
[4,7,1,6,5,3,2,8]=>1110100=>116
[4,8,1,6,5,3,2,7]=>1110100=>116
[8,4,1,7,6,3,2,5]=>1111010=>122
[5,4,1,8,6,3,2,7]=>1111010=>122
[5,4,1,7,6,3,2,8]=>1111010=>122
[6,4,1,8,5,3,2,7]=>1111100=>124
[8,4,1,7,5,3,2,6]=>1111100=>124
[7,4,1,6,5,3,2,8]=>1111100=>124
[7,5,6,1,4,3,2,8]=>1110100=>116
[8,5,6,1,4,3,2,7]=>1110100=>116
[8,5,7,1,4,3,2,6]=>1110100=>116
[5,7,6,1,4,3,2,8]=>1110010=>114
[5,8,6,1,4,3,2,7]=>1110010=>114
[6,7,5,1,4,3,2,8]=>1110100=>116
[8,7,5,1,4,3,2,6]=>1110101=>117
[8,6,5,1,4,3,2,7]=>1110110=>118
[8,6,1,7,2,5,3,4]=>1110010=>114
[1,8,6,3,4,2,5,7]=>0110010=>50
[3,1,6,4,5,8,7,2]=>1101001=>105
[3,1,6,4,5,2,7,8]=>1101000=>104
[3,1,6,4,5,8,2,7]=>1101000=>104
[3,1,6,4,5,7,2,8]=>1101000=>104
[4,6,8,7,2,5,1,3]=>1100001=>97
[7,6,3,8,4,5,2,1]=>1111010=>122
[8,2,7,6,1,4,3,5]=>1110010=>114
[5,2,7,8,1,4,3,6]=>1110000=>112
[5,6,3,8,4,1,2,7]=>1011000=>88
[8,2,7,6,1,4,5,3]=>1110010=>114
[5,2,3,4,7,1,6,8]=>1100000=>96
[5,2,3,7,1,6,8,4]=>1101000=>104
[8,7,5,3,1,6,4,2]=>1111101=>125
[1,4,7,8,5,2,3,6]=>0100100=>36
[3,2,6,7,4,1,5,8]=>1101000=>104
[5,8,3,7,6,4,1,2]=>1011010=>90
[6,5,1,7,2,4,8,3]=>1110100=>116
[3,6,7,1,4,2,5,8]=>1100000=>96
[4,7,5,8,2,1,3,6]=>1100100=>100
[8,1,2,7,5,4,3,6]=>1011100=>92
[6,5,1,8,3,7,2,4]=>1110100=>116
[1,8,7,5,3,2,6,4]=>0111101=>61
[7,8,1,5,4,2,3,6]=>1101000=>104
[2,7,5,1,4,6,3,8]=>1010100=>84
[3,4,6,8,1,5,7,2]=>1100000=>96
[6,8,1,7,5,4,2,3]=>1101100=>108
[7,6,3,1,2,8,5,4]=>1011110=>94
[6,3,5,7,1,4,2,8]=>1110000=>112
[5,2,6,7,4,8,1,3]=>1101000=>104
[1,7,5,2,6,4,8,3]=>0111100=>60
[7,1,3,6,8,2,4,5]=>1100000=>96
[1,2,5,7,8,4,6,3]=>0011000=>24
[3,1,2,7,5,4,8,6]=>1001110=>78
[6,7,4,1,3,2,8,5]=>1101100=>108
[1,7,2,8,4,3,5,6]=>0111000=>56
[1,6,3,5,7,8,2,4]=>0110000=>48
[8,6,1,7,5,2,4,3]=>1110110=>118
[7,6,4,1,8,3,2,5]=>1111010=>122
[8,4,1,6,5,2,7,3]=>1111100=>124
[1,5,3,4,7,8,2,6]=>0110000=>48
[4,2,1,5,7,8,3,6]=>1110000=>112
[5,4,1,6,7,8,2,3]=>1101000=>104
[5,1,4,6,7,8,2,3]=>1100000=>96
[4,1,5,3,7,8,2,6]=>1110000=>112
[8,1,4,6,5,2,7,3]=>1110100=>116
[7,1,5,4,6,3,2,8]=>1111000=>120
[8,2,1,6,7,5,4,3]=>1111100=>124
[1,2,4,7,6,3,8,5]=>0010110=>22
[6,7,4,1,8,5,2,3]=>1101100=>108
[8,6,4,1,5,7,3,2]=>1111010=>122
[5,2,4,3,7,1,6,8]=>1110000=>112
[6,1,5,4,8,3,2,7]=>1111000=>120
[1,2,8,7,4,3,6,5]=>0011101=>29
[3,2,1,7,5,8,4,6]=>1101100=>108
[1,3,6,4,7,8,2,5]=>0101000=>40
[4,5,1,3,7,8,2,6]=>1100000=>96
[5,2,3,1,7,8,4,6]=>1101000=>104
[1,6,4,3,7,8,2,5]=>0111000=>56
[7,6,4,3,1,5,2,8]=>1111010=>122
[7,5,4,6,1,3,2,8]=>1101100=>108
[8,4,6,5,1,2,7,3]=>1011100=>92
[1,5,6,3,7,8,2,4]=>0110000=>48
[7,1,2,3,4,5,8,9,10,6]=>100001000=>264
[6,7,1,2,3,4,8,9,5]=>10001000=>136
[6,1,2,3,4,7,8,9,10,5]=>100010000=>272
[5,1,2,3,6,7,8,9,10,4]=>100100000=>288
[6,8,3,5,7,2,4,1]=>1110000=>112
[1,5,2,4,3,8,7,6]=>0110011=>51
[8,6,5,7,2,1,4,3]=>1110110=>118
[1,6,3,8,4,5,7,2]=>0111000=>56
[7,5,4,2,6,3,8,1]=>1111100=>124
[7,8,6,5,4,3,2,9,1]=>11111100=>252
[9,7,6,5,4,3,1,2,8]=>10111110=>190
[2,4,3,5,6,7,8,9,1]=>10100000=>160
[2,3,8,4,7,5,6,1]=>1001100=>76
[3,7,2,8,6,4,5,1]=>1101010=>106
[6,3,7,5,8,2,4,1]=>1110100=>116
[4,3,7,8,6,2,5,1]=>1110010=>114
[3,8,1,7,5,2,4,6]=>1100100=>100
[2,4,7,8,6,1,5,3]=>1010010=>82
[2,4,8,5,1,7,3,6]=>1010100=>84
[2,8,3,5,1,6,4,7]=>1011000=>88
[8,2,4,6,3,7,5,1]=>1110100=>116
[4,5,3,8,2,1,7,6]=>1110010=>114
[4,8,3,2,5,1,6,7]=>1110000=>112
[5,2,7,1,3,8,6,4]=>1101010=>106
[4,5,6,7,8,9,2,1,3]=>11000000=>192
[5,6,7,8,9,2,1,3,4]=>11000000=>192
[6,7,8,9,2,1,3,4,5]=>11000000=>192
[7,8,9,2,1,3,4,5,6]=>11000000=>192
[8,9,2,1,3,4,5,6,7]=>11000000=>192
[1,4,6,2,7,5,3,8]=>0110100=>52
[8,2,7,5,1,4,6,3]=>1110100=>116
[1,7,4,6,8,3,5,2]=>0111000=>56
[8,2,1,4,5,6,7,3]=>1110000=>112
[7,3,1,2,5,6,4,8]=>1011000=>88
[7,2,4,1,5,8,6,3]=>1110010=>114
[7,8,2,1,5,4,6,3]=>1111000=>120
[1,4,2,8,6,5,3,7]=>0110110=>54
[1,4,8,5,2,6,3,7]=>0110100=>52
[1,5,2,4,6,3,8,7]=>0110001=>49
[1,8,5,3,2,6,4,7]=>0111100=>60
[6,4,1,3,2,5,8,7]=>1101001=>105
[5,2,3,7,8,1,6,4]=>1101000=>104
[5,2,8,6,3,1,7,4]=>1111010=>122
[6,2,3,5,1,8,7,4]=>1101001=>105
[7,6,3,4,2,8,1,5]=>1110010=>114
[6,2,4,5,7,8,1,3]=>1100000=>96
[8,6,3,2,5,7,1,4]=>1110010=>114
[6,2,5,3,7,1,8,4]=>1111000=>120
[8,5,3,6,7,2,1,4]=>1110100=>116
[4,5,7,8,6,2,1,3]=>1100010=>98
[1,2,8,4,3,6,7,5]=>0011100=>28
[1,8,3,2,4,6,7,5]=>0110100=>52
[1,2,7,5,3,4,6,8]=>0010100=>20
[1,2,7,4,5,3,8,6]=>0011010=>26
[1,7,3,2,6,8,4,5]=>0111000=>56
[8,2,7,1,4,3,5,6]=>1110000=>112
[7,2,1,3,6,8,4,5]=>1101000=>104
[6,2,1,7,8,3,4,5]=>1110000=>112
[4,7,8,1,6,5,3,2]=>1110100=>116
[3,5,8,6,1,4,2,7]=>1100010=>98
[1,8,4,2,7,6,3,5]=>0111010=>58
[8,7,2,6,5,4,3,1]=>1111101=>125
[7,3,8,1,6,5,4,2]=>1111100=>124
[7,3,8,2,6,5,4,1]=>1111100=>124
[7,1,3,8,6,5,4,2]=>1101110=>110
[8,1,3,7,6,5,4,2]=>1101110=>110
[2,4,1,8,7,3,6,5]=>1010101=>85
[7,3,8,6,1,5,4,2]=>1111010=>122
[3,5,1,7,8,2,6,4]=>1101000=>104
[5,4,7,8,2,1,6,3]=>1111000=>120
[5,3,6,1,8,4,2,7]=>1111000=>120
[6,3,8,7,1,5,4,2]=>1111001=>121
[8,6,4,7,1,5,3,2]=>1111010=>122
[6,4,7,1,5,3,2,8]=>1111000=>120
[3,4,6,2,1,8,5,7]=>1100100=>100
[4,5,7,2,1,6,3,8]=>1110000=>112
[5,6,4,8,3,2,1,7]=>1111000=>120
[5,7,4,8,2,1,6,3]=>1111000=>120
[4,7,5,8,2,1,6,3]=>1110100=>116
[5,7,4,2,6,3,8,1]=>1111000=>120
[5,7,4,1,6,2,8,3]=>1111000=>120
[6,8,7,3,1,4,2,5]=>1110001=>113
[8,5,6,1,7,3,2,4]=>1110100=>116
[4,5,1,6,7,8,3,2]=>1110000=>112
[4,5,2,6,1,3,8,7]=>1100001=>97
[8,4,6,7,2,5,1,3]=>1101000=>104
[3,4,6,7,2,5,8,1]=>1100000=>96
[7,1,4,6,8,3,5,2]=>1110000=>112
[6,7,1,2,4,8,5,3]=>1010100=>84
[1,6,3,4,7,8,5,2]=>0110100=>52
[2,3,6,4,7,5,8,1]=>1001100=>76
[7,8,1,3,4,5,6,2]=>1100000=>96
[1,8,2,6,7,3,4,5]=>0110000=>48
[4,7,3,2,8,1,5,6]=>1110000=>112
[7,1,2,6,3,8,5,4]=>1011100=>92
[8,1,2,6,3,7,5,4]=>1011100=>92
[8,1,2,7,6,3,5,4]=>1011010=>90
[4,8,7,3,1,6,2,5]=>1110001=>113
[4,7,8,3,1,6,2,5]=>1110000=>112
[7,4,3,1,6,2,8,5]=>1111100=>124
[7,4,3,1,8,6,2,5]=>1111010=>122
[3,7,6,2,4,8,1,5]=>1100010=>98
[4,3,7,2,8,6,1,5]=>1110010=>114
[6,1,2,7,4,3,8,5]=>1011100=>92
[5,1,2,6,3,8,7,4]=>1011001=>89
[5,1,2,7,3,8,6,4]=>1011010=>90
[6,1,2,7,3,5,8,4]=>1011000=>88
[8,3,6,2,1,7,4,5]=>1111000=>120
[6,1,2,8,3,5,7,4]=>1011000=>88
[7,5,3,2,1,8,6,4]=>1111110=>126
[4,2,1,5,3,6,7,8]=>1110000=>112
[8,6,4,3,2,1,9,7,5]=>11111110=>254
[7,5,4,3,2,1,8,6,9]=>11111100=>252
[8,6,4,2,1,9,7,5,3]=>11111110=>254
[7,5,3,2,1,8,6,4,9]=>11111100=>252
[7,4,3,2,1,8,5,9,6]=>11111100=>252
[6,4,3,2,1,7,5,8,9]=>11111000=>248
[7,5,3,1,8,6,4,2,9]=>11111100=>252
[7,4,2,1,8,5,3,9,6]=>11111100=>252
[6,4,2,1,7,5,3,8,9]=>11111000=>248
[6,3,2,1,7,4,8,5,9]=>11111000=>248
[5,3,2,1,6,4,7,8,9]=>11110000=>240
[7,4,1,8,5,2,9,6,3]=>11111100=>252
[6,3,1,7,4,2,8,5,9]=>11111000=>248
[5,3,1,6,4,2,7,8,9]=>11110000=>240
[6,2,1,7,3,8,4,9,5]=>11111000=>248
[5,2,1,6,3,7,4,8,9]=>11110000=>240
[4,2,1,5,3,6,7,8,9]=>11100000=>224
[4,1,5,2,6,3,7,8,9]=>11100000=>224
[3,1,4,2,5,6,7,8,9]=>11000000=>192
[9,7,5,4,3,2,1,10,8,6]=>111111110=>510
[8,6,5,4,3,2,1,9,7,10]=>111111100=>508
[9,7,5,3,2,1,10,8,6,4]=>111111110=>510
[8,6,4,3,2,1,9,7,5,10]=>111111100=>508
[8,5,4,3,2,1,9,6,10,7]=>111111100=>508
[7,5,4,3,2,1,8,6,9,10]=>111111000=>504
[8,6,4,2,1,9,7,5,3,10]=>111111100=>508
[8,5,3,2,1,9,6,4,10,7]=>111111100=>508
[7,5,3,2,1,8,6,4,9,10]=>111111000=>504
[7,4,3,2,1,8,5,9,6,10]=>111111000=>504
[6,4,3,2,1,7,5,8,9,10]=>111110000=>496
[8,5,3,1,9,6,4,2,10,7]=>111111100=>508
[7,5,3,1,8,6,4,2,9,10]=>111111000=>504
[8,5,2,1,9,6,3,10,7,4]=>111111100=>508
[7,4,2,1,8,5,3,9,6,10]=>111111000=>504
[6,4,2,1,7,5,3,8,9,10]=>111110000=>496
[7,3,2,1,8,4,9,5,10,6]=>111111000=>504
[6,3,2,1,7,4,8,5,9,10]=>111110000=>496
[5,3,2,1,6,4,7,8,9,10]=>111100000=>480
[7,4,1,8,5,2,9,6,3,10]=>111111000=>504
[7,3,1,8,4,2,9,5,10,6]=>111111000=>504
[6,3,1,7,4,2,8,5,9,10]=>111110000=>496
[5,3,1,6,4,2,7,8,9,10]=>111100000=>480
[6,2,1,7,3,8,4,9,5,10]=>111110000=>496
[5,2,1,6,3,7,4,8,9,10]=>111100000=>480
[4,2,1,5,3,6,7,8,9,10]=>111000000=>448
[5,1,6,2,7,3,8,4,9,10]=>111100000=>480
[4,1,5,2,6,3,7,8,9,10]=>111000000=>448
[3,1,4,2,5,6,7,8,9,10]=>110000000=>384
[6,2,5,4,1,8,7,3]=>1111001=>121
[4,6,3,2,1,8,7,5]=>1110101=>117
[6,5,3,2,1,8,7,4]=>1111101=>125
[8,4,3,2,7,6,1,5]=>1111010=>122
[1,5,8,4,7,6,3,2]=>0111010=>58
[3,2,7,4,8,6,1,5]=>1101010=>106
[7,4,3,2,8,6,1,5]=>1111010=>122
[6,8,3,7,5,2,1,4]=>1110100=>116
[5,7,8,4,3,2,1,6]=>1111000=>120
[6,4,3,8,5,2,1,7]=>1111100=>124
[8,2,5,4,7,6,1,3]=>1101010=>106
[7,2,5,4,8,6,1,3]=>1101010=>106
[4,5,3,2,8,6,1,7]=>1110010=>114
[3,2,5,4,8,6,1,7]=>1101010=>106
[3,2,8,6,5,4,1,7]=>1101110=>110
[8,4,3,6,5,2,1,7]=>1111100=>124
[8,4,3,7,5,2,1,6]=>1111100=>124
[3,2,7,8,5,4,1,6]=>1101100=>108
[6,8,7,4,3,2,1,5]=>1111001=>121
[3,6,1,4,8,7,2,5]=>1100001=>97
[5,8,1,3,7,2,6,4]=>1101000=>104
[4,7,5,1,8,2,6,3]=>1110100=>116
[6,3,2,1,8,7,4,5]=>1111001=>121
[6,2,3,1,8,7,4,5]=>1101001=>105
[3,4,7,1,8,5,6,2]=>1100100=>100
[3,4,8,1,7,5,6,2]=>1100100=>100
[7,2,1,5,8,4,6,3]=>1111000=>120
[4,2,8,1,7,5,6,3]=>1110100=>116
[8,3,6,4,1,7,5,2]=>1111100=>124
[7,3,1,5,2,8,6,4]=>1111010=>122
[7,1,6,4,2,8,5,3]=>1111100=>124
[3,7,4,1,5,8,6,2]=>1101010=>106
[5,8,6,1,2,7,4,3]=>1011010=>90
[6,8,1,4,3,7,5,2]=>1110100=>116
[6,7,1,4,3,8,5,2]=>1110100=>116
[6,8,1,2,4,7,5,3]=>1010100=>84
[7,1,6,4,8,3,5,2]=>1111000=>120
[8,6,4,1,3,7,5,2]=>1101110=>110
[8,5,3,6,1,7,4,2]=>1111100=>124
[7,2,1,4,5,8,6,3]=>1110010=>114
[8,5,6,1,2,7,4,3]=>1011100=>92
[8,6,2,5,4,7,3,1]=>1111010=>122
[8,5,7,3,2,4,6,1]=>1110100=>116
[8,5,2,1,4,3,6,7]=>1110100=>116
[2,8,4,1,3,6,7,5]=>1001100=>76
[8,1,2,4,5,6,7,3]=>1010000=>80
[6,1,4,3,2,7,8,5]=>1110100=>116
[1,8,3,6,7,2,4,5]=>0110000=>48
[1,2,8,3,7,4,6,5]=>0011100=>28
[1,9,2,3,4,5,6,7,8,10]=>010000000=>128
[1,7,2,3,4,5,6,8,9]=>01000000=>64
[8,2,6,5,4,3,1,7]=>1111100=>124
[8,2,7,6,4,5,3,1]=>1111010=>122
[8,7,3,5,4,2,6,1]=>1111001=>121
[4,2,5,6,7,8,3,1]=>1110000=>112
[3,7,8,4,5,1,6,2]=>1101000=>104
[3,6,1,5,7,8,2,4]=>1100000=>96
[4,6,8,5,2,7,1,3]=>1100100=>100
[3,7,8,5,2,6,1,4]=>1100100=>100
[3,7,8,5,4,1,6,2]=>1101100=>108
[7,8,2,3,5,4,1,6]=>1101000=>104
[5,1,3,7,6,4,8,2]=>1101010=>106
[4,6,5,2,7,8,1,3]=>1100100=>100
[1,6,5,2,3,4,8,7]=>0100101=>37
[4,6,5,1,7,3,8,2]=>1110100=>116
[5,7,3,1,2,4,8,6]=>1010010=>82
[6,3,2,5,1,7,4,8]=>1111000=>120
[6,1,2,4,8,5,3,7]=>1010100=>84
[6,3,1,7,2,5,8,4]=>1111000=>120
[3,7,2,8,5,1,4,6]=>1100100=>100
[3,6,5,2,4,7,1,8]=>1100100=>100
[3,6,5,8,1,7,2,4]=>1100100=>100
[1,2,3,4,5,6,8,7,9]=>00000010=>2
[1,2,3,4,5,6,7,9,8,10]=>000000010=>2
[1,2,3,4,5,7,6,8,9]=>00000100=>4
[9,2,3,4,5,6,7,1,8]=>11000000=>192
[1,3,5,8,6,4,7,2]=>0101010=>42
[1,3,5,8,6,7,2,4]=>0100010=>34
[6,1,7,4,8,5,3,2]=>1111100=>124
[5,7,4,1,3,6,8,2]=>1101000=>104
[7,4,3,1,6,5,8,2]=>1111100=>124
[8,6,1,7,5,3,2,4]=>1110110=>118
[7,8,1,4,6,5,3,2]=>1110100=>116
[7,8,6,1,4,5,3,2]=>1110010=>114
[6,2,7,3,8,5,4,1]=>1111100=>124
[1,2,7,5,3,4,8,6]=>0010110=>22
[7,2,8,3,6,4,5,1]=>1111000=>120
[6,2,7,8,3,1,4,5]=>1110000=>112
[1,7,8,2,5,3,4,6]=>0110000=>48
[3,7,8,1,2,5,6,4]=>1001000=>72
[1,2,8,7,3,4,6,5]=>0010101=>21
[8,2,7,4,5,1,6,3]=>1111000=>120
[3,8,1,5,7,2,6,4]=>1101000=>104
[7,5,4,8,6,1,2,3]=>1001110=>78
[7,1,8,6,4,5,2,3]=>1101010=>106
[8,7,5,1,4,3,6,2]=>1110101=>117
[1,5,7,8,3,4,2,6]=>0110000=>48
[6,8,4,3,1,7,2,5]=>1111000=>120
[8,4,1,3,7,5,6,2]=>1101100=>108
[4,8,1,3,7,5,6,2]=>1100100=>100
[1,8,5,7,4,2,3,6]=>0101100=>44
[2,1,6,8,5,3,4,7]=>1010100=>84
[4,5,1,3,8,6,7,2]=>1100010=>98
[1,2,6,8,5,3,4,7]=>0010100=>20
[5,6,8,7,3,1,2,4]=>1010001=>81
[6,7,5,3,8,1,2,4]=>1010100=>84
[6,8,5,7,3,1,2,4]=>1010100=>84
[5,7,8,6,3,1,2,4]=>1010010=>82
[5,1,4,2,6,8,7,3]=>1110001=>113
[6,3,2,4,7,1,8,5]=>1110100=>116
[1,5,6,8,4,2,3,7]=>0101000=>40
[5,7,8,3,6,1,2,4]=>1010000=>80
[1,5,8,6,2,4,3,7]=>0110010=>50
[1,5,3,7,2,6,8,4]=>0111000=>56
[5,1,8,6,2,4,3,7]=>1110010=>114
[5,8,6,3,7,1,2,4]=>1010010=>82
[1,5,2,4,8,6,7,3]=>0110010=>50
[1,5,4,2,6,8,7,3]=>0111001=>57
[5,7,6,3,8,1,2,4]=>1010010=>82
[5,7,6,8,3,1,2,4]=>1010010=>82
[6,8,7,5,3,1,2,4]=>1010101=>85
[1,2,5,3,6,8,7,4]=>0011001=>25
[6,8,7,2,1,5,3,4]=>1110001=>113
[7,3,6,1,4,8,2,5]=>1110000=>112
[7,8,1,6,5,3,4,2]=>1110100=>116
[8,7,3,2,1,4,6,5]=>1110101=>117
[8,3,5,1,7,4,2,6]=>1111000=>120
[3,5,6,8,4,2,7,1]=>1101000=>104
[5,8,2,6,4,3,7,1]=>1111000=>120
[2,8,6,3,4,1,7,5]=>1010110=>86
[1,7,2,3,5,8,6,4]=>0101010=>42
[4,6,2,3,5,1,7,8]=>1100000=>96
[2,8,3,7,5,1,6,4]=>1011100=>92
[6,4,8,7,2,1,5,3]=>1111001=>121
[1,8,2,3,7,5,6,4]=>0101100=>44
[2,8,4,3,6,7,1,5]=>1011000=>88
[7,3,2,5,6,1,8,4]=>1111000=>120
[1,6,7,8,2,4,3,5]=>0110000=>48
[4,1,2,8,5,3,7,6]=>1010110=>86
[3,8,4,2,5,1,7,6]=>1101010=>106
[1,8,5,6,4,3,2,7]=>0111100=>60
[2,8,3,5,6,4,1,7]=>1011000=>88
[4,1,5,7,6,8,2,3]=>1100010=>98
[7,6,8,3,2,5,1,4]=>1110010=>114
[2,7,8,1,6,4,5,3]=>1011000=>88
[2,7,1,4,5,3,8,6]=>1010010=>82
[1,5,2,7,4,3,6,8]=>0111000=>56
[5,1,3,8,4,6,2,7]=>1101000=>104
[6,5,8,7,1,3,2,4]=>1100101=>101
[2,7,3,5,1,6,8,4]=>1011000=>88
[5,7,6,8,2,1,4,3]=>1110010=>114
[1,3,6,5,2,7,4,8]=>0101100=>44
[1,2,6,5,3,4,7,8]=>0010100=>20
[1,7,2,5,6,8,3,4]=>0110000=>48
[1,7,2,4,8,3,5,6]=>0110000=>48
[1,6,2,4,5,3,7,8]=>0110000=>48
[1,3,2,8,4,5,7,6]=>0101010=>42
[1,6,8,2,4,3,5,7]=>0110000=>48
[1,6,7,2,5,3,4,8]=>0110000=>48
[1,2,8,3,6,7,4,5]=>0011000=>24
[1,7,2,5,3,4,8,6]=>0110010=>50
[10,3,4,5,6,7,8,9,1,2]=>101000000=>320
[9,3,4,5,6,7,8,1,10,2]=>111000000=>448
[8,3,4,5,6,7,1,9,10,2]=>111000000=>448
[7,3,4,5,6,1,8,9,10,2]=>111000000=>448
[6,3,4,5,1,7,8,9,10,2]=>111000000=>448
[5,3,4,1,6,7,8,9,10,2]=>111000000=>448
[4,3,1,5,6,7,8,9,10,2]=>111000000=>448
[10,9,4,5,6,7,8,1,2,3]=>100100001=>289
[10,3,8,5,6,7,1,9,2,4]=>111010000=>464
[10,3,4,7,6,1,8,9,2,5]=>111001000=>456
[10,3,4,5,1,7,8,9,2,6]=>111000000=>448
[5,3,4,1,6,10,8,9,2,7]=>111000010=>450
[4,3,1,5,6,7,10,9,2,8]=>111000001=>449
[3,1,4,5,6,7,8,10,2,9]=>110000000=>384
[7,1,5,6,2,3,8,4]=>1101000=>104
[8,2,1,4,6,7,3,5]=>1110000=>112
[7,2,6,1,3,4,8,5]=>1100100=>100
[4,1,3,7,2,5,8,6]=>1100010=>98
[6,2,7,5,1,3,8,4]=>1101100=>108
[1,7,5,6,2,3,8,4]=>0101100=>44
[3,7,6,1,2,4,8,5]=>1000110=>70
[8,6,1,3,5,7,2,4]=>1100010=>98
[1,7,4,3,8,2,5,6]=>0111000=>56
[6,1,5,3,4,8,2,7]=>1110000=>112
[3,6,7,5,2,8,1,4]=>1100100=>100
[7,8,4,1,5,6,2,3]=>1101000=>104
[5,8,1,3,6,7,2,4]=>1100000=>96
[2,8,4,3,7,1,5,6]=>1011000=>88
[3,8,4,6,7,1,2,5]=>1001000=>72
[6,3,8,4,7,1,2,5]=>1011000=>88
[1,2,5,4,8,3,6,7]=>0011000=>24
[7,1,3,8,2,4,5,6]=>1100000=>96
[8,1,3,7,2,4,5,6]=>1100000=>96
[3,5,4,7,8,1,2,6]=>1001000=>72
[8,3,1,4,7,2,5,6]=>1110000=>112
[1,6,4,7,8,2,3,5]=>0101000=>40
[5,2,3,6,7,8,1,4]=>1100000=>96
[6,2,7,3,8,5,1,4]=>1110100=>116
[1,3,7,8,5,6,2,4]=>0100100=>36
[8,2,6,7,5,1,3,4]=>1100100=>100
[8,1,7,4,6,2,3,5]=>1101000=>104
[2,5,8,4,7,1,3,6]=>1001000=>72
[4,5,8,7,1,2,3,6]=>1000001=>65
[4,1,8,5,7,2,3,6]=>1100100=>100
[1,8,7,4,6,2,3,5]=>0101001=>41
[2,6,5,4,1,8,3,7]=>1011100=>92
[6,2,5,1,4,8,3,7]=>1110000=>112
[6,5,4,1,3,8,2,7]=>1101100=>108
[6,3,5,4,2,8,1,7]=>1111000=>120
[1,3,8,7,4,2,6,5]=>0101101=>45
[8,7,4,3,1,5,2,6]=>1111001=>121
[8,2,5,1,4,6,7,3]=>1110000=>112
[3,8,4,5,1,6,7,2]=>1101000=>104
[8,5,4,1,3,6,7,2]=>1101100=>108
[8,3,1,7,5,6,4,2]=>1111100=>124
[8,4,7,6,5,3,1,2]=>1011110=>94
[8,1,4,5,7,6,3,2]=>1110010=>114
[2,4,1,8,5,7,6,3]=>1010110=>86
[8,2,1,4,7,6,3,5]=>1110010=>114
[8,3,1,7,4,2,6,5]=>1111100=>124
[8,2,7,3,1,6,5,4]=>1111100=>124
[1,8,4,2,3,7,6,5]=>0101110=>46
[3,1,2,8,7,4,6,5]=>1001101=>77
[8,5,1,2,4,3,7,6]=>1010110=>86
[2,8,3,7,4,1,6,5]=>1011100=>92
[8,4,5,7,6,2,3,1]=>1101010=>106
[2,3,1,8,7,6,4,5]=>1001011=>75
[4,2,8,7,3,1,5,6]=>1110001=>113
[1,3,4,8,7,2,5,6]=>0100001=>33
[8,1,3,4,6,7,2,5]=>1100000=>96
[3,4,8,2,6,7,1,5]=>1100000=>96
[3,6,8,2,5,1,7,4]=>1101000=>104
[3,8,2,5,7,4,6,1]=>1101000=>104
[8,4,2,1,7,5,6,3]=>1111100=>124
[8,2,7,5,6,4,1,3]=>1101100=>108
[6,2,8,5,4,1,7,3]=>1111100=>124
[6,8,5,4,1,7,2,3]=>1101100=>108
[2,8,1,5,7,6,3,4]=>1010010=>82
[3,1,8,2,7,5,6,4]=>1101100=>108
[8,5,7,1,6,4,2,3]=>1101100=>108
[2,8,4,7,3,6,5,1]=>1011100=>92
[8,4,7,2,1,6,5,3]=>1111100=>124
[1,8,4,7,6,5,2,3]=>0101110=>46
[3,5,8,1,7,4,6,2]=>1101000=>104
[8,4,7,1,3,6,5,2]=>1101100=>108
[8,2,3,4,5,6,9,1,7]=>11000000=>192
[8,2,3,9,5,6,7,1,4]=>11001000=>200
[8,2,9,4,5,6,7,1,3]=>11010000=>208
[8,9,3,4,5,6,7,1,2]=>10100000=>160
[9,2,3,4,5,6,7,10,1,8]=>110000000=>384
[4,2,3,1,9,8,7,6,5]=>11001111=>207
[3,2,1,9,8,6,7,5,4]=>11011101=>221
[9,2,10,4,5,6,7,8,1,3]=>110100000=>416
[2,3,4,7,6,8,1,5]=>1000010=>66
[3,8,1,2,5,6,4,7]=>1001000=>72
[3,7,1,2,5,6,4,8]=>1001000=>72
[8,5,2,1,4,6,7,3]=>1110100=>116
[4,8,1,6,5,2,7,3]=>1110100=>116
[4,2,6,3,8,5,7,1]=>1110100=>116
[4,5,2,6,7,1,8,3]=>1110000=>112
[2,7,4,1,6,3,5,8]=>1011000=>88
[8,3,5,4,2,7,1,6]=>1111000=>120
[2,8,6,4,7,3,1,5]=>1011010=>90
[3,1,8,6,5,2,7,4]=>1101110=>110
[8,3,1,5,2,6,7,4]=>1111000=>120
[3,8,2,4,1,5,7,6]=>1100010=>98
[5,8,3,2,4,1,7,6]=>1110010=>114
[7,2,6,8,4,3,5,1]=>1111000=>120
[6,5,3,2,4,8,1,7]=>1110100=>116
[5,2,4,6,1,3,8,7]=>1100001=>97
[7,2,3,4,6,8,1,5]=>1100000=>96
[8,3,4,6,7,5,1,2]=>1010100=>84
[3,7,4,6,8,2,5,1]=>1101000=>104
[3,7,5,2,8,6,1,4]=>1100110=>102
[8,4,6,5,2,7,3,1]=>1111100=>124
[8,6,2,3,5,1,7,4]=>1101010=>106
[7,2,4,5,6,8,1,3]=>1100000=>96
[5,3,6,1,4,2,8,7]=>1110001=>113
[5,7,2,1,4,3,8,6]=>1110010=>114
[7,1,8,3,5,2,4,6]=>1110000=>112
[7,2,4,8,1,5,6,3]=>1110000=>112
[7,1,8,4,2,5,6,3]=>1111000=>120
[6,4,2,5,8,1,7,3]=>1111000=>120
[2,1,7,5,8,3,6,4]=>1011100=>92
[7,3,8,5,6,2,1,4]=>1110100=>116
[2,7,4,8,1,5,6,3]=>1011000=>88
[7,4,8,3,1,5,6,2]=>1111000=>120
[6,1,5,8,3,7,4,2]=>1111000=>120
[2,6,3,5,8,7,4,1]=>1011001=>89
[8,6,5,3,7,2,1,4]=>1110110=>118
[4,8,5,3,7,2,1,6]=>1110100=>116
[7,4,8,6,5,3,2,1]=>1111110=>126
[7,4,8,5,6,3,1,2]=>1011100=>92
[7,8,4,1,3,5,6,2]=>1101000=>104
[7,8,3,4,1,5,6,2]=>1110000=>112
[7,3,1,8,2,5,6,4]=>1111000=>120
[7,2,3,8,1,5,6,4]=>1101000=>104
[6,4,8,7,3,2,1,5]=>1111001=>121
[2,7,4,8,6,3,1,5]=>1011010=>90
[6,4,8,2,3,1,7,5]=>1101100=>108
[7,2,1,8,3,5,6,4]=>1111000=>120
[5,1,6,3,8,2,4,7]=>1110000=>112
[3,6,5,1,4,8,7,2]=>1100101=>101
[7,3,6,2,8,4,1,5]=>1111000=>120
[6,5,1,8,4,7,2,3]=>1101100=>108
[7,5,4,8,1,6,2,3]=>1101100=>108
[4,3,5,8,7,1,2,6]=>1010001=>81
[3,5,6,8,1,4,2,7]=>1100000=>96
[4,3,5,8,2,1,6,7]=>1110000=>112
[6,4,7,2,3,1,5,8]=>1101000=>104
[6,8,1,5,4,2,7,3]=>1111000=>120
[7,8,6,3,1,4,2,5]=>1110010=>114
[7,8,6,3,5,1,2,4]=>1010010=>82
[7,2,8,5,4,6,3,1]=>1111100=>124
[6,1,8,4,7,2,3,5]=>1101000=>104
[5,6,4,3,7,1,8,2]=>1111000=>120
[6,5,3,7,2,4,8,1]=>1110100=>116
[5,6,2,8,4,3,7,1]=>1111000=>120
[4,1,2,6,8,3,7,5]=>1010100=>84
[7,1,3,6,5,8,4,2]=>1101100=>108
[5,7,4,3,6,8,2,1]=>1111000=>120
[4,6,2,7,8,3,5,1]=>1110000=>112
[5,1,2,4,6,7,8,3]=>1010000=>80
[4,6,3,5,2,8,7,1]=>1110001=>113
[5,6,3,4,8,2,7,1]=>1110000=>112
[5,2,6,4,1,7,8,3]=>1111000=>120
[5,8,4,6,3,2,7,1]=>1111000=>120
[5,4,3,8,6,2,7,1]=>1111010=>122
[5,7,8,2,4,3,6,1]=>1110000=>112
[5,6,2,4,8,3,7,1]=>1110000=>112
[6,4,7,8,2,3,5,1]=>1101000=>104
[3,7,5,2,4,8,1,6]=>1100100=>100
[4,7,5,2,3,8,6,1]=>1100110=>102
[6,4,7,3,2,5,8,1]=>1111000=>120
[5,7,3,2,8,4,6,1]=>1111000=>120
[5,3,7,2,8,4,6,1]=>1111000=>120
[4,3,7,2,5,8,6,1]=>1110010=>114
[4,7,3,2,5,8,6,1]=>1110010=>114
[4,7,3,2,6,8,5,1]=>1110100=>116
[7,5,3,2,6,4,8,1]=>1111100=>124
[8,5,2,6,7,3,4,1]=>1110100=>116
[8,4,2,6,3,7,5,1]=>1111100=>124
[7,4,6,2,3,8,5,1]=>1101100=>108
[7,5,6,2,8,3,4,1]=>1110100=>116
[5,7,6,2,8,3,4,1]=>1110010=>114
[4,7,6,2,3,8,5,1]=>1100110=>102
[7,6,3,2,5,8,1,4]=>1110010=>114
[7,6,4,2,5,8,3,1]=>1111010=>122
[2,10,4,5,6,7,8,9,1,3]=>100100000=>288
[9,8,4,5,6,7,1,2,10,3]=>101100010=>354
[2,10,9,5,6,7,8,1,3,4]=>100010001=>273
[9,3,8,5,6,7,1,2,10,4]=>101110000=>368
[9,7,4,5,6,1,8,2,10,3]=>111100100=>484
[2,10,4,9,6,7,8,1,3,5]=>100101000=>296
[2,10,8,5,6,7,1,9,3,4]=>101010010=>338
[6,3,8,5,4,7,2,1]=>1111100=>124
[1,3,2,4,5,6,7,8,9]=>01000000=>64
[1,4,2,3,5,6,7,8,9]=>01000000=>64
[1,3,2,4,5,6,7,8,9,10]=>010000000=>128
[2,4,6,3,8,7,5,1]=>1010101=>85
[2,4,6,1,8,7,3,5]=>1010001=>81
[2,4,3,6,8,7,1,5]=>1010001=>81
[2,4,6,3,8,7,1,5]=>1010001=>81
[2,4,6,5,8,7,1,3]=>1000101=>69
[2,4,6,8,5,7,3,1]=>1010100=>84
[2,4,6,8,5,7,1,3]=>1000100=>68
[2,4,6,8,3,7,1,5]=>1010000=>80
[2,4,6,8,1,7,3,5]=>1010000=>80
[2,4,6,5,1,8,7,3]=>1010101=>85
[2,4,6,5,8,3,7,1]=>1010100=>84
[2,4,6,5,8,1,7,3]=>1010100=>84
[2,4,6,8,5,1,7,3]=>1010100=>84
[2,4,6,8,7,3,5,1]=>1010001=>81
[2,4,6,8,7,1,5,3]=>1010001=>81
[2,4,6,8,7,1,3,5]=>1000001=>65
[2,4,6,8,5,1,3,7]=>1000100=>68
[2,4,6,5,1,8,3,7]=>1010100=>84
[2,4,6,5,1,3,8,7]=>1000101=>69
[2,4,6,5,3,8,1,7]=>1010100=>84
[2,4,6,5,8,3,1,7]=>1010100=>84
[2,4,6,8,5,3,1,7]=>1010100=>84
[2,4,6,8,7,3,1,5]=>1010001=>81
[2,4,6,8,7,5,1,3]=>1000101=>69
[4,8,7,5,2,1,3,6]=>1100101=>101
[6,1,4,7,5,8,2,3]=>1100100=>100
[1,8,6,5,3,2,7,4]=>0111110=>62
[1,6,3,5,8,2,4,7]=>0110000=>48
[4,6,1,7,8,5,3,2]=>1110100=>116
[6,1,2,7,8,4,5,3]=>1011000=>88
[6,1,3,2,7,8,5,4]=>1101100=>108
[5,6,3,1,7,4,8,2]=>1111000=>120
[4,8,3,7,1,6,5,2]=>1110100=>116
[8,7,2,6,5,1,4,3]=>1110101=>117
[5,8,3,2,1,7,6,4]=>1111010=>122
[5,4,3,8,1,7,6,2]=>1111010=>122
[6,5,3,8,7,1,4,2]=>1110101=>117
[4,3,8,2,7,6,5,1]=>1110110=>118
[4,8,2,7,6,5,3,1]=>1110110=>118
[7,8,2,6,5,4,1,3]=>1101100=>108
[3,8,7,6,2,5,1,4]=>1100011=>99
[4,8,3,7,2,1,6,5]=>1110100=>116
[8,6,3,1,7,5,4,2]=>1111110=>126
[8,6,3,7,1,5,4,2]=>1111010=>122
[4,8,3,7,6,2,5,1]=>1110010=>114
[5,8,2,7,6,4,1,3]=>1101010=>106
[8,4,2,1,7,6,5,3]=>1111110=>126
[1,6,4,2,5,3,7,8]=>0111000=>56
[1,8,6,2,7,3,4,5]=>0110010=>50
[1,6,3,2,4,5,7,8]=>0110000=>48
[1,5,2,6,4,3,7,8]=>0111000=>56
[1,5,2,4,6,3,7,8]=>0110000=>48
[1,8,6,2,3,7,4,5]=>0101010=>42
[1,5,2,8,6,3,4,7]=>0110010=>50
[1,3,6,8,2,7,4,5]=>0101000=>40
[1,4,3,8,2,5,6,7]=>0110000=>48
[1,7,2,3,8,5,4,6]=>0101100=>44
[1,3,8,4,2,5,6,7]=>0101000=>40
[1,6,2,8,5,4,3,7]=>0111100=>60
[1,7,2,3,8,6,4,5]=>0101010=>42
[1,5,3,8,2,7,4,6]=>0111000=>56
[1,4,8,2,5,6,3,7]=>0110000=>48
[1,5,7,3,2,8,4,6]=>0111000=>56
[1,2,7,3,6,8,4,5]=>0011000=>24
[1,7,2,3,6,8,4,5]=>0101000=>40
[1,4,8,3,2,5,6,7]=>0110000=>48
[1,7,2,5,8,3,4,6]=>0110000=>48
[8,2,3,4,5,6,7,9,1]=>11000000=>192
[7,2,3,4,5,6,9,8,1]=>11000001=>193
[6,2,3,4,5,9,7,8,1]=>11000010=>194
[5,2,3,4,9,6,7,8,1]=>11000100=>196
[4,2,3,9,5,6,7,8,1]=>11001000=>200
[3,2,9,4,5,6,7,8,1]=>11010000=>208
[2,9,3,4,5,6,7,8,1]=>10100000=>160
[9,2,3,4,5,6,7,8,10,1]=>110000000=>384
[6,2,3,4,5,1,8,9,7]=>11000010=>194
[8,2,3,4,5,6,7,10,9,1]=>110000001=>385
[5,2,3,4,1,7,9,8,6]=>11000101=>197
[7,2,3,4,5,6,10,8,9,1]=>110000010=>386
[6,2,3,5,8,1,7,4]=>1101000=>104
[4,2,3,1,6,9,7,8,5]=>11001010=>202
[6,2,3,4,5,10,7,8,9,1]=>110000100=>388
[5,2,4,8,1,6,7,3]=>1110000=>112
[3,2,1,5,9,6,7,8,4]=>11010100=>212
[5,2,3,4,10,6,7,8,9,1]=>110001000=>392
[2,1,4,9,5,6,7,8,3]=>10101000=>168
[4,2,3,10,5,6,7,8,9,1]=>110010000=>400
[1,3,9,4,5,6,7,8,2]=>01010000=>80
[3,2,10,4,5,6,7,8,9,1]=>110100000=>416
[2,10,3,4,5,6,7,8,9,1]=>101000000=>320
[2,3,5,6,4,7,8,1,9]=>10010000=>144
[1,3,4,6,7,5,8,9,2]=>01001000=>72
[2,3,4,6,7,5,8,9,1,10]=>100010000=>272
[2,3,6,5,7,4,8,1,9]=>10011000=>152
[2,3,5,6,7,1,8,4,9]=>10010000=>144
[2,6,4,5,7,3,1,8]=>1011000=>88
[2,5,6,3,4,7,1,8]=>1010000=>80
[1,3,7,5,6,8,4,2]=>0101100=>44
[1,3,6,7,4,5,8,2]=>0101000=>40
[1,3,4,7,6,8,5,9,2]=>01001100=>76
[1,3,4,6,7,8,2,9,5]=>01001000=>72
[1,3,4,5,7,8,6,9,10,2]=>010001000=>136
[1,5,6,3,4,2,7,8]=>0110000=>48
[1,5,6,3,4,7,2,8]=>0110000=>48
[1,5,3,6,4,2,7,8]=>0111000=>56
[1,7,5,6,8,3,4,2]=>0110100=>52
[1,7,5,6,3,8,4,2]=>0111100=>60
[1,3,7,5,2,8,6,4]=>0101110=>46
[1,3,7,2,5,8,6,4]=>0101010=>42
[1,5,3,7,4,6,2,8]=>0111000=>56
[1,5,3,7,6,4,2,8]=>0111010=>58
[1,5,3,6,7,4,2,8]=>0111000=>56
[1,5,6,3,7,4,2,8]=>0111000=>56
[1,5,7,6,3,4,8,2]=>0110010=>50
[1,5,7,3,6,4,8,2]=>0111000=>56
[1,3,7,2,5,6,8,4]=>0101000=>40
[1,3,7,5,6,2,8,4]=>0101100=>44
[2,5,7,4,1,3,8,6]=>1001010=>74
[6,7,3,1,8,5,2,4]=>1110100=>116
[6,3,1,5,8,7,2,4]=>1110001=>113
[8,3,5,1,7,6,2,4]=>1110010=>114
[4,6,3,5,8,2,1,7]=>1110000=>112
[7,2,4,8,6,3,1,5]=>1110010=>114
[2,3,6,4,1,8,7,5]=>1001101=>77
[7,4,5,2,1,8,6,3]=>1111010=>122
[4,7,5,2,1,8,6,3]=>1110110=>118
[8,5,3,6,2,1,7,4]=>1111100=>124
[4,5,7,3,1,2,8,6]=>1010010=>82
[4,5,1,8,3,2,7,6]=>1110010=>114
[5,7,4,6,3,2,1,8]=>1111000=>120
[3,6,1,2,4,8,7,5]=>1000101=>69
[2,5,3,8,4,1,7,6]=>1011010=>90
[8,6,2,3,1,7,5,4]=>1101110=>110
[7,5,2,3,1,8,6,4]=>1101110=>110
[6,3,1,2,4,8,7,5]=>1010101=>85
[4,7,5,2,3,6,1,8]=>1100100=>100
[3,6,8,4,5,1,2,7]=>1001000=>72
[5,2,3,7,6,4,1,8]=>1101010=>106
[6,2,7,3,5,4,1,8]=>1111000=>120
[7,2,6,5,3,4,1,8]=>1110100=>116
[8,2,6,5,4,1,3,7]=>1101100=>108
[6,2,8,4,5,1,3,7]=>1101000=>104
[2,3,1,7,8,5,6,4]=>1001100=>76
[7,2,8,5,1,4,3,6]=>1110100=>116
[8,6,7,1,4,2,3,5]=>1100010=>98
[6,8,7,1,4,3,2,5]=>1110001=>113
[6,8,2,5,3,1,4,7]=>1110000=>112
[3,7,8,5,1,4,2,6]=>1100100=>100
[4,8,7,3,1,2,5,6]=>1010001=>81
[4,8,6,2,3,1,5,7]=>1100010=>98
[3,8,5,4,2,1,6,7]=>1101100=>108
[4,5,3,8,2,1,6,7]=>1110000=>112
[3,7,4,1,8,2,6,5]=>1101100=>108
[3,8,4,1,7,6,2,5]=>1101010=>106
[3,7,2,1,8,4,6,5]=>1101100=>108
[8,7,1,6,5,2,3,4]=>1100101=>101
[8,5,1,2,7,6,3,4]=>1010110=>86
[3,8,2,1,7,6,4,5]=>1101010=>106
[3,5,7,8,2,4,6,1]=>1100000=>96
[7,8,2,5,4,3,6,1]=>1111000=>120
[4,5,3,7,8,2,6,1]=>1110000=>112
[1,5,4,7,3,6,2,8]=>0111000=>56
[1,7,3,6,8,4,5,2]=>0111000=>56
[4,6,8,2,7,3,5,1]=>1110000=>112
[4,7,6,3,5,1,8,2]=>1110010=>114
[7,8,3,6,1,5,4,2]=>1111000=>120
[2,5,7,8,4,6,1,3]=>1001000=>72
[3,7,5,6,2,1,4,8]=>1100100=>100
[6,2,1,7,4,5,3,8]=>1111000=>120
[1,2,6,4,7,5,3,8]=>0011100=>28
[7,5,6,3,8,4,2,1]=>1111100=>124
[8,5,4,2,1,6,7,3]=>1111100=>124
[2,6,8,4,7,5,1,3]=>1001100=>76
[6,7,5,1,4,8,3,2]=>1110100=>116
[7,4,1,6,5,3,8,2]=>1111100=>124
[5,8,2,7,3,6,4,1]=>1111000=>120
[1,6,5,7,3,8,4,2]=>0111100=>60
[1,5,6,8,4,2,7,3]=>0111000=>56
[7,5,4,1,8,2,6,3]=>1111100=>124
[6,4,1,8,2,7,5,3]=>1111100=>124
[7,8,5,3,2,6,1,4]=>1110100=>116
[8,2,5,1,7,6,4,3]=>1111010=>122
[6,7,4,3,8,2,5,1]=>1111000=>120
[3,4,2,7,8,6,1,5]=>1100010=>98
[7,8,6,1,4,3,2,5]=>1110010=>114
[2,4,7,8,6,1,3,5]=>1000010=>66
[3,7,8,6,5,2,4,1]=>1100110=>102
[4,5,2,7,8,6,3,1]=>1110010=>114
[4,6,2,5,3,1,7,8]=>1110000=>112
[4,1,5,6,3,2,7,8]=>1110000=>112
[2,6,7,5,4,1,3,8]=>1001100=>76
[4,1,6,7,5,3,2,8]=>1110100=>116
[6,7,4,3,1,5,2,8]=>1111000=>120
[1,7,5,6,4,3,2,8]=>0111100=>60
[7,6,5,3,1,8,4,2]=>1111110=>126
[7,8,6,4,3,1,5,2]=>1111010=>122
[4,1,7,8,6,5,3,2]=>1110110=>118
[6,8,5,3,7,2,1,4]=>1110100=>116
[4,7,1,5,8,2,6,3]=>1110000=>112
[3,7,6,2,1,8,4,5]=>1101010=>106
[2,7,5,8,3,6,4,1]=>1011100=>92
[7,4,8,2,6,5,3,1]=>1111100=>124
[7,5,4,8,2,6,3,1]=>1111100=>124
[4,3,8,1,6,5,2,7]=>1110100=>116
[2,3,6,5,7,8,1,4]=>1000100=>68
[8,3,4,1,2,6,7,5]=>1010100=>84
[7,3,4,8,5,2,1,6]=>1110100=>116
[7,3,8,4,1,5,6,2]=>1111000=>120
[7,2,4,5,1,8,3,6]=>1110000=>112
[7,3,1,2,8,5,6,4]=>1011100=>92
[4,8,2,3,5,7,6,1]=>1100010=>98
[4,5,2,3,8,6,7,1]=>1100010=>98
[6,7,4,8,5,3,2,1]=>1111100=>124
[4,3,5,6,1,7,8,2]=>1110000=>112
[3,5,2,6,4,7,8,1]=>1101000=>104
[4,1,2,8,5,7,6,3]=>1010110=>86
[3,1,5,6,4,7,8,2]=>1101000=>104
[3,1,4,6,7,5,8,2]=>1100100=>100
[2,6,4,5,8,1,3,7]=>1001000=>72
[6,4,1,3,5,8,2,7]=>1101000=>104
[3,4,1,7,2,6,8,5]=>1100100=>100
[2,4,7,5,8,1,3,6]=>1000100=>68
[3,1,6,4,8,7,5,2]=>1101101=>109
[3,7,6,2,1,5,8,4]=>1101010=>106
[4,2,6,1,3,7,8,5]=>1100100=>100
[8,5,4,2,7,6,3,1]=>1111110=>126
[2,8,4,6,7,1,3,5]=>1001000=>72
[5,8,2,1,4,6,7,3]=>1110000=>112
[3,7,8,4,2,6,5,1]=>1101100=>108
[5,6,2,8,7,1,3,4]=>1100001=>97
[7,1,3,8,4,5,6,2]=>1101000=>104
[7,8,1,4,3,5,6,2]=>1110000=>112
[3,6,7,2,8,1,5,4]=>1101000=>104
[2,6,7,1,3,5,8,4]=>1001000=>72
[3,6,7,1,8,2,5,4]=>1101000=>104
[3,4,1,8,7,2,6,5]=>1100101=>101
[3,1,5,7,2,8,6,4]=>1101010=>106
[3,8,1,4,7,2,6,5]=>1100100=>100
[4,8,1,3,2,7,6,5]=>1100110=>102
[4,1,8,3,2,7,6,5]=>1110110=>118
[4,3,8,1,2,7,6,5]=>1010110=>86
[4,3,8,2,1,7,6,5]=>1110110=>118
[3,8,4,2,7,1,6,5]=>1101100=>108
[2,8,4,3,7,6,1,5]=>1011010=>90
[3,8,2,4,7,1,6,5]=>1100100=>100
[3,2,4,8,7,1,6,5]=>1100101=>101
[3,2,5,7,1,8,6,4]=>1101010=>106
[4,2,8,3,1,7,6,5]=>1110110=>118
[4,8,2,1,3,7,6,5]=>1100110=>102
[4,2,8,1,3,7,6,5]=>1100110=>102
[2,3,4,6,8,7,1,5]=>1000001=>65
[4,6,7,5,8,2,3,1]=>1100100=>100
[3,2,7,6,8,1,4,5]=>1100010=>98
[4,5,1,7,6,8,2,3]=>1100010=>98
[6,7,2,8,3,1,4,5]=>1110000=>112
[7,6,3,1,2,8,4,5]=>1011010=>90
[6,2,7,8,4,1,3,5]=>1101000=>104
[6,3,7,8,4,1,2,5]=>1011000=>88
[7,8,5,2,4,1,3,6]=>1100100=>100
[7,6,2,3,1,8,4,5]=>1101010=>106
[4,2,5,1,3,7,8,6]=>1100010=>98
[3,5,1,4,2,7,8,6]=>1100010=>98
[3,4,1,7,8,5,2,6]=>1100100=>100
[4,1,3,7,8,5,2,6]=>1100100=>100
[4,3,1,8,5,2,7,6]=>1110110=>118
[3,1,8,5,4,2,7,6]=>1101110=>110
[7,6,3,5,8,4,2,1]=>1111010=>122
[4,5,1,3,2,7,8,6]=>1100010=>98
[5,1,3,2,4,7,8,6]=>1100010=>98
[2,3,7,8,5,4,1,6]=>1001100=>76
[8,3,5,6,1,7,2,4]=>1110000=>112
[4,5,8,1,2,6,7,3]=>1010000=>80
[5,3,6,7,8,2,1,4]=>1110000=>112
[1,3,4,8,6,2,7,5]=>0100110=>38
[3,8,2,5,4,1,6,7]=>1101000=>104
[8,4,5,2,6,1,7,3]=>1111000=>120
[4,6,8,2,3,7,5,1]=>1100100=>100
[4,5,7,2,3,6,1,8]=>1100000=>96
[2,7,3,4,1,5,6,8]=>1010000=>80
[6,7,2,3,4,8,1,5]=>1100000=>96
[3,5,2,4,6,7,8,1]=>1100000=>96
[4,2,6,3,5,7,8,1]=>1110000=>112
[2,3,4,5,6,1,8,7,9]=>10000010=>130
[2,3,4,5,1,7,6,8,9]=>10000100=>132
[2,3,4,1,6,5,7,8,9]=>10001000=>136
[2,3,1,5,4,6,7,8,9]=>10010000=>144
[1,4,8,5,6,2,7,3]=>0110100=>52
[2,4,8,5,6,1,7,3]=>1010100=>84
[6,3,5,8,4,7,1,2]=>1011000=>88
[2,8,7,4,5,1,6,3]=>1011001=>89
[1,3,8,5,2,6,7,4]=>0101100=>44
[7,2,8,4,5,1,6,3]=>1111000=>120
[6,2,3,5,1,7,8,4]=>1101000=>104
[8,6,2,4,1,5,7,3]=>1110010=>114
[1,6,4,3,2,7,8,5]=>0111100=>60
[8,5,3,2,1,6,7,4]=>1111100=>124
[1,7,5,2,3,6,8,4]=>0101100=>44
[7,1,5,2,3,6,8,4]=>1101000=>104
[8,1,2,5,3,6,7,4]=>1011000=>88
[8,4,1,6,3,7,2,5]=>1111000=>120
[6,7,5,3,8,2,1,4]=>1110100=>116
[5,2,6,8,3,7,1,4]=>1110000=>112
[4,2,5,8,6,7,1,3]=>1100010=>98
[5,8,6,3,4,1,7,2]=>1110010=>114
[3,7,2,4,1,8,6,5]=>1100110=>102
[2,4,7,8,5,1,3,6]=>1000100=>68
[2,5,3,8,4,1,6,7]=>1011000=>88
[5,7,6,8,1,3,4,2]=>1100010=>98
[3,1,7,4,5,6,2,8]=>1101000=>104
[2,4,8,3,5,7,1,6]=>1010000=>80
[8,1,7,2,4,3,5,6]=>1110000=>112
[1,3,8,2,4,7,5,6]=>0100100=>36
[1,3,7,2,4,6,5,8]=>0100100=>36
[1,7,3,2,4,6,5,8]=>0110100=>52
[1,8,3,7,4,2,5,6]=>0111000=>56
[8,7,3,1,4,2,5,6]=>1110001=>113
[2,8,4,3,5,7,1,6]=>1011000=>88
[3,2,8,7,4,1,5,6]=>1101001=>105
[3,2,1,7,4,6,5,8]=>1101100=>108
[3,2,6,5,1,7,8,4]=>1101100=>108
[5,3,2,6,7,1,8,4]=>1111000=>120
[3,2,8,6,7,4,1,5]=>1101010=>106
[8,4,6,2,7,3,1,5]=>1111000=>120
[4,3,8,6,7,2,1,5]=>1110010=>114
[4,3,6,2,8,7,1,5]=>1110001=>113
[3,8,4,7,6,5,1,2]=>1001110=>78
[7,8,4,2,6,3,5,1]=>1111000=>120
[3,2,7,8,6,4,5,1]=>1101010=>106
[3,2,7,5,6,8,4,1]=>1101100=>108
[5,7,8,6,3,2,4,1]=>1110010=>114
[6,5,4,2,1,7,8,3]=>1111100=>124
[5,4,2,1,7,6,3,8]=>1111010=>122
[4,1,6,5,2,7,8,3]=>1110100=>116
[5,4,1,6,7,2,8,3]=>1111000=>120
[6,8,5,3,1,7,2,4]=>1110100=>116
[5,2,6,3,8,7,1,4]=>1110001=>113
[8,6,1,7,3,4,2,5]=>1110010=>114
[1,8,3,6,7,4,2,5]=>0111000=>56
[1,6,3,5,2,7,8,4]=>0111000=>56
[1,5,7,3,2,6,4,8]=>0111000=>56
[5,1,3,7,2,6,4,8]=>1101000=>104
[8,1,6,7,2,4,3,5]=>1110000=>112
[6,1,4,8,2,7,3,5]=>1110000=>112
[6,2,4,8,3,7,1,5]=>1110000=>112
[8,7,2,6,3,5,1,4]=>1110001=>113
[8,1,7,6,5,2,3,4]=>1100110=>102
[7,1,5,6,8,2,4,3]=>1110000=>112
[6,7,1,5,2,4,8,3]=>1110000=>112
[7,6,1,5,2,4,3,8]=>1110010=>114
[7,1,6,3,5,4,2,8]=>1111000=>120
[1,6,7,3,5,4,8,2]=>0111000=>56
[1,7,3,5,6,8,4,2]=>0111000=>56
[1,7,8,3,6,4,5,2]=>0111000=>56
[1,8,7,6,4,5,2,3]=>0101011=>43
[8,2,7,4,6,5,1,3]=>1101100=>108
[2,8,5,7,6,4,1,3]=>1001110=>78
[7,4,5,1,6,8,3,2]=>1111000=>120
[4,1,7,5,6,8,3,2]=>1110100=>116
[5,6,7,4,3,1,8,2]=>1111000=>120
[6,7,8,5,3,1,4,2]=>1110100=>116
[1,4,6,2,5,3,7,8]=>0110000=>48
[1,6,3,2,5,4,7,8]=>0111000=>56
[1,6,8,2,5,4,7,3]=>0111000=>56
[1,5,4,2,6,3,7,8]=>0111000=>56
[1,2,6,4,3,5,7,8]=>0011000=>24
[1,6,8,2,7,5,4,3]=>0111100=>60
[1,7,4,3,2,6,8,5]=>0111100=>60
[1,5,4,7,2,6,8,3]=>0111000=>56
[1,3,7,6,2,8,5,4]=>0101110=>46
[1,7,6,2,8,4,3,5]=>0111010=>58
[1,5,2,8,4,3,7,6]=>0111010=>58
[1,2,8,4,3,6,5,7]=>0011100=>28
[1,2,8,5,6,3,4,7]=>0010100=>20
[1,7,3,5,2,8,6,4]=>0111010=>58
[1,6,7,2,5,8,4,3]=>0111000=>56
[1,5,8,3,2,7,4,6]=>0111000=>56
[1,4,5,8,2,6,3,7]=>0110000=>48
[1,7,6,4,8,2,5,3]=>0111010=>58
[1,4,8,6,5,2,7,3]=>0110110=>54
[1,3,8,2,6,5,4,7]=>0101100=>44
[1,7,6,3,8,2,4,5]=>0110010=>50
[1,5,2,7,6,4,8,3]=>0111010=>58
[1,2,4,3,8,7,5,6]=>0010101=>21
[1,4,3,8,7,2,5,6]=>0110001=>49
[1,3,8,6,2,4,5,7]=>0100010=>34
[1,3,8,5,4,2,6,7]=>0101100=>44
[1,7,2,4,8,6,5,3]=>0110110=>54
[1,6,5,3,2,8,7,4]=>0111101=>61
[1,3,2,8,7,5,4,6]=>0101101=>45
[1,2,8,6,5,4,3,7]=>0011110=>30
[8,1,3,4,6,5,2,7]=>1100100=>100
[8,3,1,4,6,5,2,7]=>1110100=>116
[5,8,3,1,2,6,4,7]=>1011000=>88
[4,8,1,7,5,2,3,6]=>1100100=>100
[4,8,1,7,5,2,6,3]=>1110100=>116
[8,5,1,4,2,6,3,7]=>1110100=>116
[8,4,1,3,5,6,2,7]=>1101000=>104
[8,5,3,2,1,6,4,7]=>1111100=>124
[8,1,5,4,2,6,3,7]=>1111000=>120
[8,5,2,4,1,6,3,7]=>1110100=>116
[4,8,7,1,5,2,6,3]=>1110001=>113
[4,8,7,1,5,2,3,6]=>1100001=>97
[7,6,8,4,1,3,2,5]=>1101010=>106
[7,6,8,4,1,3,5,2]=>1101010=>106
[3,8,7,5,4,1,2,6]=>1001101=>77
[4,8,2,7,5,1,3,6]=>1100100=>100
[7,6,8,4,1,5,2,3]=>1101010=>106
[8,7,6,1,5,2,3,4]=>1100011=>99
[7,1,4,8,6,3,5,2]=>1110010=>114
[8,1,6,5,3,4,7,2]=>1110100=>116
[8,6,2,5,3,4,7,1]=>1110010=>114
[8,6,5,1,3,4,7,2]=>1100110=>102
[8,7,5,1,3,6,2,4]=>1100101=>101
[8,7,1,5,3,6,2,4]=>1110001=>113
[8,6,1,3,5,4,7,2]=>1101010=>106
[7,1,4,8,3,6,5,2]=>1110100=>116
[7,8,5,2,4,3,6,1]=>1110100=>116
[7,3,8,2,5,4,6,1]=>1111000=>120
[8,4,2,5,3,7,6,1]=>1111010=>122
[4,8,1,5,3,7,6,2]=>1110010=>114
[7,4,8,2,6,3,5,1]=>1111000=>120
[7,4,8,2,6,3,1,5]=>1111000=>120
[8,7,3,1,6,4,2,5]=>1111001=>121
[8,7,3,1,6,4,5,2]=>1111001=>121
[8,7,3,1,4,6,5,2]=>1110101=>117
[8,4,3,2,7,5,6,1]=>1111100=>124
[6,4,1,7,8,5,3,2]=>1111100=>124
[7,6,3,4,1,8,5,2]=>1110110=>118
[8,7,3,1,6,2,5,4]=>1111001=>121
[7,8,6,4,2,5,1,3]=>1101010=>106
[7,8,2,4,6,5,1,3]=>1100100=>100
[8,1,7,3,5,6,2,4]=>1110000=>112
[8,7,5,2,4,6,1,3]=>1100101=>101
[8,1,7,5,4,6,2,3]=>1101100=>108
[8,7,3,2,6,1,5,4]=>1111001=>121
[1,8,6,4,2,9,7,5,3]=>01111110=>126
[8,4,6,7,5,3,2,1]=>1111100=>124
[1,4,8,6,7,5,3,2]=>0110110=>54
[7,6,2,5,8,4,3,1]=>1111010=>122
[1,7,3,6,8,5,4,2]=>0111100=>60
[8,6,2,5,7,4,3,1]=>1111010=>122
[7,1,3,6,8,5,4,2]=>1101100=>108
[1,8,3,6,7,5,4,2]=>0111100=>60
[8,1,7,6,4,5,3,2]=>1111010=>122
[7,1,8,6,4,5,3,2]=>1111010=>122
[1,6,2,7,4,5,3,8]=>0111000=>56
[1,8,2,6,4,3,5,7]=>0111000=>56
[1,7,2,6,4,3,5,8]=>0111000=>56
[1,7,2,5,4,6,3,8]=>0111000=>56
[6,5,7,2,8,3,4,1]=>1110100=>116
[6,2,7,5,8,1,4,3]=>1110100=>116
[6,7,2,5,8,1,4,3]=>1110000=>112
[6,5,7,3,8,1,4,2]=>1110100=>116
[6,3,7,4,8,2,5,1]=>1111000=>120
[6,3,7,4,8,1,5,2]=>1111000=>120
[6,2,7,4,8,1,5,3]=>1111000=>120
[8,7,6,4,2,5,3,1]=>1111011=>123
[8,7,4,6,2,3,5,1]=>1101001=>105
[6,8,4,5,7,3,2,1]=>1111000=>120
[6,7,5,1,4,3,8,2]=>1110100=>116
[7,8,5,1,4,3,6,2]=>1110100=>116
[2,7,6,8,3,5,1,4]=>1010010=>82
[7,2,1,5,3,8,6,4]=>1111010=>122
[5,8,2,7,6,1,3,4]=>1100010=>98
[5,1,8,7,3,4,2,6]=>1110001=>113
[8,2,3,6,7,1,4,5]=>1100000=>96
[4,2,3,1,5,8,6,7]=>1100010=>98
[6,3,5,1,2,4,7,8,9]=>10100000=>160
[8,6,5,4,3,2,1,7,9]=>11111100=>252
[3,1,2,4,5,6,7,8,9,10]=>100000000=>256
[6,3,5,1,2,4,7,8,9,10]=>101000000=>320
[9,7,6,5,4,3,2,1,8,10]=>111111100=>508
[10,8,6,9,4,7,2,5,1,3]=>110101010=>426
[2,4,8,7,5,3,1,6]=>1010101=>85
[2,6,8,7,5,3,4,1]=>1010101=>85
[2,6,5,1,4,3,8,7]=>1010101=>85
[6,5,1,2,4,3,8,7]=>1010101=>85
[4,6,5,3,1,2,8,7]=>1010101=>85
[4,8,7,5,3,1,2,6]=>1010101=>85
[4,6,8,7,5,3,1,2]=>1010101=>85
[6,8,7,5,3,1,4,2]=>1110101=>117
[8,7,5,6,3,1,4,2]=>1110101=>117
[8,7,3,4,6,5,1,2]=>1010101=>85
[2,1,4,8,7,3,6,5]=>1010101=>85
[4,8,7,3,1,2,6,5]=>1010101=>85
[8,7,3,4,1,2,6,5]=>1010101=>85
[8,7,3,1,6,5,2,4]=>1110101=>117
[8,7,3,2,6,5,1,4]=>1110101=>117
[2,8,7,3,4,6,5,1]=>1010101=>85
[2,8,7,3,6,5,1,4]=>1010101=>85
[2,8,7,1,6,5,3,4]=>1010101=>85
[8,7,1,2,6,5,3,4]=>1010101=>85
[8,7,1,2,4,3,6,5]=>1010101=>85
[2,1,8,7,3,4,6,5]=>1010101=>85
[8,7,5,1,2,4,3,6]=>1010101=>85
[2,8,7,1,4,3,6,5]=>1010101=>85
[2,8,7,3,4,1,6,5]=>1010101=>85
[2,8,7,5,6,3,4,1]=>1010101=>85
[2,4,8,7,3,1,6,5]=>1010101=>85
[2,8,7,3,1,4,6,5]=>1010101=>85
[2,4,3,1,8,7,5,6]=>1010101=>85
[4,3,1,2,6,8,7,5]=>1010101=>85
[2,8,7,5,6,3,1,4]=>1010101=>85
[2,8,7,5,3,1,6,4]=>1011101=>93
[2,8,7,5,3,6,4,1]=>1011101=>93
[2,8,7,5,6,1,4,3]=>1010101=>85
[2,6,8,7,5,1,4,3]=>1010101=>85
[6,8,7,5,1,2,4,3]=>1010101=>85
[8,7,5,6,1,2,4,3]=>1010101=>85
[8,7,1,2,4,6,5,3]=>1010101=>85
[2,4,8,7,3,6,5,1]=>1010101=>85
[8,7,2,4,3,6,5,1]=>1110101=>117
[4,8,7,1,2,6,5,3]=>1010101=>85
[8,7,5,3,1,2,6,4]=>1011101=>93
[8,7,5,3,6,4,1,2]=>1011101=>93
[8,7,1,4,3,6,5,2]=>1110101=>117
[8,7,3,4,1,6,5,2]=>1110101=>117
[10,3,2,4,5,6,7,8,9,1]=>111000000=>448
[9,4,3,2,5,6,7,8,1]=>11110000=>240
[8,1,2,3,4,5,7,6,9]=>10000100=>132
[7,1,2,3,5,4,6,8]=>1001000=>72
[1,9,2,3,4,5,6,8,7]=>01000010=>66
[9,1,2,3,4,5,6,8,7,10]=>100000100=>260
[8,1,2,3,4,7,6,5,9]=>10001100=>140
[8,1,2,3,4,6,5,7,9]=>10001000=>136
[7,1,2,6,4,5,3,8]=>1011000=>88
[7,1,2,4,3,5,6,8]=>1010000=>80
[1,9,2,3,4,5,8,7,6]=>01000110=>70
[1,9,2,3,4,5,7,6,8]=>01000100=>68
[1,10,2,3,4,5,6,7,9,8]=>010000010=>130
[4,7,3,6,5,1,2,8]=>1010100=>84
[7,5,4,2,8,3,1,6]=>1111100=>124
[8,3,6,1,5,2,4,7]=>1110000=>112
[3,1,6,8,5,7,2,4]=>1100100=>100
[5,7,2,1,8,4,6,3]=>1111000=>120
[7,2,8,6,4,3,1,5]=>1111010=>122
[6,3,8,7,4,2,1,5]=>1111001=>121
[7,6,3,2,8,4,1,5]=>1111010=>122
[8,6,1,3,2,4,5,7]=>1100010=>98
[5,8,3,7,4,2,1,6]=>1111000=>120
[4,1,7,3,5,8,6,2]=>1110010=>114
[8,4,7,3,5,2,1,6]=>1111000=>120
[5,4,8,1,3,2,6,7]=>1101000=>104
[4,5,8,2,1,3,6,7]=>1100000=>96
[8,1,3,5,2,4,6,7]=>1100000=>96
[1,8,3,5,7,2,4,6]=>0110000=>48
[1,7,3,8,6,2,4,5]=>0110010=>50
[8,6,2,1,3,7,5,4]=>1101110=>110
[8,1,4,2,7,6,3,5]=>1110010=>114
[1,3,4,5,6,7,8,2,9]=>01000000=>64
[1,3,4,5,6,7,8,10,2,9]=>010000000=>128
[2,1,4,5,6,7,9,3,8]=>10100000=>160
[2,1,4,5,6,7,8,3,9]=>10100000=>160
[1,3,4,5,6,7,8,9,2,10]=>010000000=>128
[1,5,7,3,6,8,2,4]=>0110000=>48
[8,4,6,2,5,7,1,3]=>1101000=>104
[1,3,4,7,6,8,2,5]=>0100010=>34
[8,1,3,6,7,4,2,5]=>1101000=>104
[1,2,4,7,8,5,3,6]=>0010100=>20
[3,1,4,7,6,8,2,5]=>1100010=>98
[4,1,3,7,6,8,2,5]=>1100010=>98
[5,1,7,3,6,8,2,4]=>1110000=>112
[6,7,8,2,4,5,1,3]=>1100000=>96
[5,8,6,2,4,7,1,3]=>1100010=>98
[3,8,2,6,5,7,1,4]=>1100100=>100
[2,8,3,6,7,4,1,5]=>1011000=>88
[8,7,2,5,6,3,1,4]=>1110001=>113
[8,7,1,6,4,3,2,5]=>1111001=>121
[1,8,2,7,5,4,3,6]=>0111100=>60
[3,8,1,7,5,4,2,6]=>1101100=>108
[5,8,6,1,7,3,2,4]=>1110010=>114
[6,7,1,2,8,4,3,5]=>1011000=>88
[2,1,3,8,6,5,4,7]=>1001110=>78
[8,2,1,7,5,4,3,6]=>1111100=>124
[1,3,2,8,6,5,4,7]=>0101110=>46
[3,4,1,7,6,8,2,5]=>1100010=>98
[2,5,7,1,8,4,3,6]=>1011000=>88
[3,5,7,1,6,8,2,4]=>1100000=>96
[4,5,7,6,1,8,2,3]=>1100010=>98
[5,4,7,6,8,3,1,2]=>1011010=>90
[1,5,7,8,6,3,2,4]=>0110010=>50
[8,4,6,7,5,2,1,3]=>1101100=>108
[8,3,7,5,6,2,1,4]=>1110100=>116
[1,4,8,6,7,3,2,5]=>0110010=>50
[2,4,8,6,7,3,1,5]=>1010010=>82
[5,2,7,8,6,3,1,4]=>1110010=>114
[2,3,8,7,5,4,1,6]=>1001101=>77
[1,3,8,7,5,4,2,6]=>0101101=>45
[8,2,7,6,4,3,1,5]=>1111010=>122
[8,1,7,6,4,3,2,5]=>1111010=>122
[4,1,8,6,7,3,2,5]=>1110010=>114
[4,8,7,5,6,2,1,3]=>1100101=>101
[5,6,8,1,7,4,3,2]=>1111000=>120
[1,6,9,8,7,5,4,3,2]=>01111011=>123
[1,4,9,8,7,6,5,3,2]=>01101111=>111
[1,3,9,8,7,6,5,4,2]=>01011111=>95
[8,7,1,9,6,5,4,3,2]=>11111110=>254
[1,8,10,9,7,6,5,4,3,2]=>011111101=>253
[6,7,9,1,8,5,4,3,2]=>11111000=>248
[1,7,10,9,8,6,5,4,3,2]=>011111011=>251
[5,6,9,8,1,7,4,3,2]=>11110001=>241
[4,1,8,7,3,6,5,2]=>1110101=>117
[5,6,8,4,1,7,3,2]=>1111000=>120
[5,4,9,8,7,1,6,3,2]=>11110011=>243
[1,5,10,9,8,7,6,4,3,2]=>011101111=>239
[4,5,8,7,3,1,6,2]=>1110001=>113
[3,4,9,8,7,6,1,5,2]=>11000111=>199
[1,4,10,9,8,7,6,5,3,2]=>011011111=>223
[2,3,9,8,7,6,5,1,4]=>10001111=>143
[9,8,1,10,7,6,5,4,3,2]=>111111110=>510
[1,7,6,9,8,5,4,3,2]=>01111101=>125
[7,8,10,1,9,6,5,4,3,2]=>111111000=>504
[1,6,9,5,8,7,4,3,2]=>01111010=>122
[8,7,6,1,9,5,4,3,2]=>11111110=>254
[6,7,10,9,1,8,5,4,3,2]=>111110001=>497
[3,1,8,4,7,6,5,2]=>1101110=>110
[5,1,9,8,4,7,6,3,2]=>11110101=>245
[6,7,9,5,1,8,4,3,2]=>11111000=>248
[6,5,10,9,8,1,7,4,3,2]=>111110011=>499
[1,4,9,8,7,3,6,5,2]=>01101011=>107
[5,6,9,8,4,1,7,3,2]=>11110001=>241
[4,5,10,9,8,7,1,6,3,2]=>111000111=>455
[1,3,9,8,7,6,2,5,4]=>01010111=>87
[1,5,8,4,3,7,6,2]=>0111010=>58
[5,4,9,8,7,3,1,6,2]=>11110011=>243
[3,4,10,9,8,7,6,1,5,2]=>110001111=>399
[3,4,9,8,7,6,2,1,5]=>11000111=>199
[3,2,10,9,8,7,6,5,1,4]=>110011111=>415
[8,1,7,2,5,6,4,3]=>1111000=>120
[8,1,3,5,2,7,6,4]=>1101010=>106
[2,7,1,5,4,8,6,3]=>1011010=>90
[8,6,2,4,3,7,5,1]=>1110110=>118
[2,4,1,6,7,5,8,3]=>1010100=>84
[8,1,4,5,6,3,7,2]=>1110000=>112
[8,1,4,5,6,2,7,3]=>1110000=>112
[8,1,4,7,6,2,5,3]=>1110010=>114
[2,5,1,7,8,6,4,3]=>1011010=>90
[3,5,6,2,8,7,4,1]=>1101001=>105
[2,4,5,1,7,6,3,8]=>1010010=>82
[7,3,1,5,6,4,2,8]=>1111000=>120
[8,3,2,5,6,7,1,4]=>1110000=>112
[8,4,5,3,7,6,2,1]=>1111010=>122
[3,4,5,6,2,8,1,7]=>1100000=>96
[3,7,4,2,8,5,1,6]=>1101100=>108
[7,3,4,1,6,8,2,5]=>1110000=>112
[2,6,3,1,4,7,5,8]=>1010100=>84
[7,2,1,6,3,4,8,5]=>1110100=>116
[7,3,4,1,6,5,8,2]=>1110100=>116
[3,7,4,2,5,8,6,1]=>1101010=>106
[2,3,5,1,4,8,7,6]=>1000011=>67
[2,7,1,3,6,8,5,4]=>1001100=>76
[2,7,1,3,8,4,6,5]=>1001100=>76
[3,8,7,1,6,2,5,4]=>1101001=>105
[3,8,7,1,4,5,2,6]=>1100001=>97
[3,7,4,2,1,8,6,5]=>1101110=>110
[4,8,5,7,2,6,3,1]=>1110100=>116
[8,4,5,7,3,2,6,1]=>1111000=>120
[8,3,7,2,4,1,5,6]=>1110000=>112
[8,6,7,2,1,4,3,5]=>1110010=>114
[8,3,7,5,1,2,6,4]=>1011100=>92
[7,3,4,6,2,1,5,8]=>1110000=>112
[3,7,4,6,1,5,2,8]=>1101000=>104
[3,4,7,6,1,2,8,5]=>1000110=>70
[4,5,8,7,6,1,3,2]=>1100011=>99
[8,6,3,7,5,1,4,2]=>1110110=>118
[8,7,3,5,6,1,4,2]=>1110001=>113
[7,6,3,8,1,4,5,2]=>1110010=>114
[8,5,2,7,6,1,3,4]=>1100110=>102
[8,7,3,1,4,5,2,6]=>1110001=>113
[6,4,7,2,1,5,8,3]=>1111000=>120
[8,4,2,5,1,6,7,3]=>1111000=>120
[8,5,3,1,6,4,7,2]=>1111100=>124
[8,7,3,1,4,5,6,2]=>1110001=>113
[8,7,4,1,5,6,2,3]=>1101001=>105
[8,6,4,1,7,5,2,3]=>1101110=>110
[8,6,3,1,7,4,5,2]=>1111010=>122
[8,5,3,1,6,7,4,2]=>1111100=>124
[8,5,3,7,1,6,4,2]=>1111100=>124
[7,6,3,8,1,4,2,5]=>1110010=>114
[7,4,8,2,6,1,5,3]=>1111000=>120
[6,4,7,3,1,5,2,8]=>1111000=>120
[8,5,3,1,6,4,2,7]=>1111100=>124
[8,7,4,1,5,2,3,6]=>1101001=>105
[8,7,5,1,2,6,3,4]=>1010101=>85
[8,6,4,1,2,7,5,3]=>1011110=>94
[8,7,4,1,2,5,3,6]=>1011001=>89
[8,7,5,1,2,3,6,4]=>1001101=>77
[6,5,3,7,4,2,1,8]=>1111100=>124
[1,6,3,8,4,2,5,7]=>0111000=>56
[4,7,2,5,3,6,1,8]=>1110000=>112
[1,8,3,4,5,2,6,7]=>0110000=>48
[1,8,6,4,2,5,3,7]=>0111010=>58
[8,2,6,4,1,5,7,3]=>1111000=>120
[7,8,3,4,6,1,5,2]=>1110000=>112
[4,8,7,5,3,1,6,2]=>1110101=>117
[6,1,4,8,3,2,5,7]=>1110000=>112
[4,1,8,5,3,2,6,7]=>1110100=>116
[8,1,6,4,2,7,3,5]=>1111000=>120
[3,1,7,4,2,5,8,6]=>1101010=>106
[1,2,7,4,3,5,6,8]=>0011000=>24
[6,1,8,5,2,4,3,7]=>1110100=>116
[6,8,2,5,1,4,7,3]=>1110000=>112
[4,5,2,1,6,8,7,3]=>1110001=>113
[7,2,8,6,5,1,4,3]=>1110110=>118
[7,4,8,6,1,5,3,2]=>1111010=>122
[8,7,2,6,1,4,5,3]=>1110001=>113
[1,7,8,6,2,4,3,5]=>0110010=>50
[7,6,3,1,2,5,4,8]=>1011010=>90
[8,5,3,1,2,4,7,6]=>1010110=>86
[8,2,1,6,5,3,4,7]=>1110100=>116
[3,8,1,5,6,2,4,7]=>1100000=>96
[6,8,4,1,5,2,3,7]=>1101000=>104
[3,2,8,1,6,4,5,7]=>1101000=>104
[5,2,1,3,7,6,4,8]=>1101010=>106
[5,4,1,2,8,3,7,6]=>1011010=>90
[5,8,4,1,2,3,7,6]=>1001010=>74
[7,1,2,5,3,4,6,8]=>1010000=>80
[1,6,7,3,2,8,4,5]=>0111000=>56
[1,8,6,3,2,7,4,5]=>0111010=>58
[1,5,3,7,2,8,4,6]=>0111000=>56
[1,4,6,2,8,5,3,7]=>0110100=>52
[1,5,6,2,8,4,3,7]=>0111000=>56
[2,4,6,3,1,7,5,8]=>1010100=>84
[3,4,8,6,5,7,2,1]=>1100110=>102
[1,2,5,7,4,3,6,8]=>0011000=>24
[1,2,5,7,4,6,8,3]=>0011000=>24
[1,2,4,7,6,8,3,5]=>0010010=>18
[3,5,8,6,1,7,2,4]=>1100010=>98
[2,3,6,8,1,7,4,5]=>1001000=>72
[2,3,7,1,8,6,4,5]=>1001010=>74
[2,6,1,7,8,5,3,4]=>1010100=>84
[2,4,8,5,6,7,1,3]=>1000100=>68
[1,4,8,5,6,7,3,2]=>0110100=>52
[3,2,1,6,8,4,7,5]=>1101100=>108
[4,8,3,1,6,5,7,2]=>1110100=>116
[1,6,8,5,4,2,7,3]=>0111100=>60
[6,5,8,4,2,1,7,3]=>1111100=>124
[1,7,8,6,5,4,2,3]=>0101110=>46
[6,8,7,4,5,1,3,2]=>1101001=>105
[6,1,3,5,4,2,8,7]=>1101001=>105
[2,1,5,8,6,4,7,3]=>1011010=>90
[4,2,8,5,6,3,7,1]=>1110100=>116
[5,7,2,3,4,6,8,1]=>1100000=>96
[1,8,7,3,2,5,6,4]=>0111001=>57
[5,7,1,2,3,8,6,4]=>1001010=>74
[7,8,6,2,4,1,5,3]=>1110010=>114
[7,2,8,4,6,1,5,3]=>1111000=>120
[7,4,6,2,8,1,5,3]=>1111000=>120
[7,6,4,8,2,1,5,3]=>1111010=>122
[6,1,8,4,2,3,5,7]=>1101000=>104
[7,3,6,2,1,8,5,4]=>1111100=>124
[1,8,6,4,2,5,7,3]=>0111010=>58
[5,6,2,1,8,4,7,3]=>1111000=>120
[2,8,1,6,5,7,3,4]=>1010100=>84
[5,1,6,4,3,8,7,2]=>1111001=>121
[5,4,6,8,1,3,7,2]=>1101000=>104
[3,7,1,6,4,5,8,2]=>1101000=>104
[3,5,2,1,4,6,7,8]=>1100000=>96
[1,3,8,7,5,4,6,2]=>0101101=>45
[9,3,4,2,5,6,7,8,1]=>11100000=>224
[1,2,3,4,5,7,9,8,6]=>00000101=>5
[1,2,3,4,6,7,9,8,5]=>00001001=>9
[1,2,3,4,6,8,9,7,5]=>00001010=>10
[1,2,3,4,6,9,8,7,5]=>00001011=>11
[1,2,3,5,6,7,9,8,4]=>00010001=>17
[1,2,3,5,6,8,9,7,4]=>00010010=>18
[1,2,3,5,6,9,8,7,4]=>00010011=>19
[1,2,3,5,7,9,8,6,4]=>00010101=>21
[1,2,3,5,9,8,7,6,4]=>00010111=>23
[1,2,4,5,7,8,9,6,3]=>00100100=>36
[1,2,4,5,7,9,8,6,3]=>00100101=>37
[1,2,4,5,9,8,7,6,3]=>00100111=>39
[1,2,4,6,9,8,7,5,3]=>00101011=>43
[1,2,4,9,8,7,6,5,3]=>00101111=>47
[1,3,5,7,9,8,6,4,2]=>01010101=>85
[1,3,5,9,8,7,6,4,2]=>01010111=>87
[1,2,3,4,5,6,8,10,9,7]=>000000101=>5
[1,2,3,4,5,7,8,10,9,6]=>000001001=>9
[1,2,3,4,5,7,9,10,8,6]=>000001010=>10
[1,2,3,4,5,7,10,9,8,6]=>000001011=>11
[1,2,3,4,6,7,8,10,9,5]=>000010001=>17
[1,2,3,4,6,7,9,10,8,5]=>000010010=>18
[1,2,3,4,6,7,10,9,8,5]=>000010011=>19
[1,2,3,4,6,8,10,9,7,5]=>000010101=>21
[1,2,3,4,6,10,9,8,7,5]=>000010111=>23
[1,2,3,5,6,7,9,10,8,4]=>000100010=>34
[1,2,3,5,6,7,10,9,8,4]=>000100011=>35
[1,2,3,5,6,8,9,10,7,4]=>000100100=>36
[1,2,3,5,6,8,10,9,7,4]=>000100101=>37
[1,2,3,5,6,10,9,8,7,4]=>000100111=>39
[1,2,3,5,7,9,10,8,6,4]=>000101010=>42
[1,2,3,5,7,10,9,8,6,4]=>000101011=>43
[1,2,3,5,10,9,8,7,6,4]=>000101111=>47
[1,2,4,5,7,8,10,9,6,3]=>001001001=>73
[1,2,4,5,7,9,10,8,6,3]=>001001010=>74
[1,2,4,5,7,10,9,8,6,3]=>001001011=>75
[1,2,4,5,10,9,8,7,6,3]=>001001111=>79
[1,2,4,6,10,9,8,7,5,3]=>001010111=>87
[1,2,4,10,9,8,7,6,5,3]=>001011111=>95
[1,3,5,7,9,10,8,6,4,2]=>010101010=>170
[1,3,5,7,10,9,8,6,4,2]=>010101011=>171
[1,3,5,10,9,8,7,6,4,2]=>010101111=>175
[1,3,10,9,8,7,6,5,4,2]=>010111111=>191
[6,7,3,4,8,5,1,2]=>1010100=>84
[7,4,1,8,2,5,6,3]=>1111000=>120
[3,1,7,2,5,6,8,4]=>1101000=>104
[4,1,5,7,3,2,8,6]=>1110010=>114
[6,4,1,7,2,8,5,3]=>1111100=>124
[7,3,1,6,2,8,5,4]=>1111100=>124
[4,8,2,5,3,1,6,7]=>1110000=>112
[5,1,3,4,8,2,6,7]=>1100000=>96
[6,1,4,5,7,8,2,3]=>1100000=>96
[6,3,4,7,1,8,5,2]=>1110100=>116
[7,8,5,1,3,4,6,2]=>1100100=>100
[7,1,3,4,5,6,8,2]=>1100000=>96
[8,5,2,7,6,3,1,4]=>1110110=>118
[1,8,3,5,6,2,7,4]=>0111000=>56
[8,3,2,5,6,1,7,4]=>1111000=>120
[4,2,5,1,6,8,7,3]=>1110001=>113
[5,4,2,7,8,6,1,3]=>1101010=>106
[6,8,7,2,1,3,4,5]=>1100001=>97
[3,7,6,8,5,2,4,1]=>1100110=>102
[1,7,8,5,2,6,3,4]=>0110100=>52
[7,6,1,2,5,3,8,4]=>1011010=>90
[5,8,7,2,6,3,4,1]=>1110001=>113
[7,6,2,4,8,1,5,3]=>1110010=>114
[1,5,7,3,8,6,2,4]=>0110010=>50
[6,7,5,1,8,2,3,4]=>1100100=>100
[7,6,1,2,4,3,8,5]=>1010110=>86
[6,7,2,1,5,3,8,4]=>1111000=>120
[4,3,2,8,7,1,6,5]=>1110101=>117
[4,8,3,2,7,1,6,5]=>1110100=>116
[4,8,3,1,7,6,5,2]=>1110110=>118
[5,3,8,7,1,6,4,2]=>1111001=>121
[5,8,7,3,1,6,4,2]=>1111001=>121
[5,3,8,2,1,7,6,4]=>1111010=>122
[3,8,7,2,6,5,1,4]=>1100101=>101
[7,4,1,8,6,5,3,2]=>1111110=>126
[5,4,2,8,1,7,6,3]=>1111010=>122
[5,8,4,2,1,7,6,3]=>1111010=>122
[5,8,4,7,1,6,3,2]=>1111000=>120
[5,4,8,3,1,7,6,2]=>1111010=>122
[8,5,6,1,4,7,2,3]=>1100100=>100
[6,7,4,1,2,5,8,3]=>1011000=>88
[1,6,7,4,2,5,8,3]=>0111000=>56
[3,6,7,5,8,1,2,4]=>1000100=>68
[1,6,7,5,8,3,2,4]=>0110100=>52
[3,8,6,5,7,4,1,2]=>1001110=>78
[8,1,6,5,7,4,3,2]=>1111100=>124
[5,2,1,6,8,4,7,3]=>1111000=>120
[6,5,8,7,4,2,3,1]=>1101101=>109
[6,8,5,7,4,2,1,3]=>1101100=>108
[3,6,7,5,8,2,1,4]=>1100100=>100
[4,7,5,3,8,1,2,6]=>1010100=>84
[4,7,5,3,6,1,2,8]=>1010100=>84
[4,7,5,3,1,6,2,8]=>1110100=>116
[2,7,5,3,6,4,8,1]=>1011100=>92
[4,7,5,3,8,1,6,2]=>1110100=>116
[2,7,5,8,6,3,4,1]=>1010110=>86
[2,7,5,6,8,3,4,1]=>1010100=>84
[2,7,5,6,8,3,1,4]=>1010100=>84
[4,7,5,3,6,8,1,2]=>1010100=>84
[2,7,5,6,3,8,4,1]=>1011100=>92
[2,7,5,3,6,8,1,4]=>1010100=>84
[8,7,5,3,1,4,6,2]=>1110101=>117
[2,7,5,3,1,4,8,6]=>1010110=>86
[2,7,5,3,4,8,6,1]=>1010110=>86
[5,7,6,2,8,3,1,4]=>1110010=>114
[5,1,6,3,2,4,8,7]=>1110001=>113
[5,7,6,1,8,3,2,4]=>1110010=>114
[3,8,7,2,1,5,4,6]=>1101001=>105
[6,1,7,2,8,4,3,5]=>1111000=>120
[4,8,5,6,7,3,1,2]=>1010100=>84
[3,7,6,2,8,5,1,4]=>1100110=>102
[6,1,7,3,8,5,2,4]=>1110100=>116
[7,1,8,3,2,5,4,6]=>1111000=>120
[2,7,8,3,1,5,4,6]=>1011000=>88
[4,8,5,6,7,2,1,3]=>1100100=>100
[5,8,6,2,7,4,1,3]=>1101010=>106
[2,4,6,7,8,5,1,3]=>1000100=>68
[2,4,6,7,8,3,1,5]=>1010000=>80
[4,7,6,2,8,5,1,3]=>1100110=>102
[5,8,7,3,2,4,1,6]=>1110001=>113
[4,6,5,8,7,3,1,2]=>1010101=>85
[8,3,1,7,2,6,4,5]=>1111000=>120
[4,5,1,2,8,7,3,6]=>1010001=>81
[5,6,1,2,8,3,7,4]=>1011000=>88
[5,8,7,1,6,2,4,3]=>1110001=>113
[8,4,5,1,7,6,2,3]=>1101010=>106
[6,3,1,4,8,2,7,5]=>1110100=>116
[8,5,6,1,7,2,4,3]=>1110100=>116
[7,5,6,1,3,8,4,2]=>1101100=>108
[5,7,6,1,3,8,4,2]=>1101010=>106
[6,7,1,4,2,8,5,3]=>1110100=>116
[2,1,6,4,8,3,7,5]=>1011100=>92
[7,4,5,1,3,8,6,2]=>1101010=>106
[1,5,7,8,4,2,3,6]=>0101000=>40
[1,3,6,4,2,5,7,8]=>0101000=>40
[1,4,5,7,8,3,6,2]=>0110000=>48
[1,5,7,8,3,6,2,4]=>0110000=>48
[1,5,7,8,2,4,3,6]=>0110000=>48
[6,8,4,7,3,2,1,5]=>1111000=>120
[6,8,5,4,2,7,1,3]=>1101100=>108
[1,8,4,6,3,2,7,5]=>0111100=>60
[6,4,8,5,3,2,1,7]=>1111100=>124
[3,5,6,1,4,2,7,8]=>1100000=>96
[1,6,3,8,4,2,7,5]=>0111100=>60
[7,1,3,2,4,6,8,5]=>1100100=>100
[2,6,5,7,8,3,1,4]=>1010100=>84
[4,1,8,2,6,7,5,3]=>1110100=>116
[3,6,7,8,2,1,4,5]=>1100000=>96
[2,5,7,1,6,3,4,8]=>1010000=>80
[4,2,8,3,6,5,1,7]=>1110100=>116
[6,3,8,7,2,4,5,1]=>1110001=>113
[7,6,1,8,2,4,5,3]=>1110010=>114
[2,5,6,3,4,8,1,7]=>1010000=>80
[5,2,4,7,8,6,1,3]=>1100010=>98
[7,2,1,3,4,8,5,6]=>1100100=>100
[2,4,5,7,1,8,6,3]=>1010010=>82
[8,1,6,2,3,4,7,5]=>1100100=>100
[6,1,4,2,5,7,8,3]=>1110000=>112
[6,5,1,2,3,7,8,9,4]=>10011000=>152
[1,6,7,2,4,3,5,8]=>0110000=>48
[1,8,3,4,5,2,7,6]=>0110010=>50
[1,8,3,6,4,7,2,5]=>0111000=>56
[1,4,7,2,5,6,3,8]=>0110000=>48
[7,3,5,8,2,6,1,4]=>1110000=>112
[3,4,8,6,7,2,1,5]=>1100010=>98
[3,4,8,2,5,1,7,6]=>1100010=>98
[1,7,2,5,8,4,3,6]=>0111000=>56
[1,4,6,7,8,3,5,2]=>0110000=>48
[4,1,5,3,6,8,7,2]=>1110001=>113
[5,8,7,4,6,2,3,1]=>1101001=>105
[6,8,7,1,5,3,4,2]=>1110001=>113
[2,7,8,4,6,5,1,3]=>1001100=>76
[3,7,8,5,4,6,2,1]=>1101100=>108
[4,8,7,5,2,6,3,1]=>1110101=>117
[2,8,7,4,6,1,5,3]=>1011001=>89
[4,8,7,2,5,6,3,1]=>1110001=>113
[4,7,8,5,3,6,2,1]=>1110100=>116
[6,4,8,1,5,7,3,2]=>1111000=>120
[1,6,8,3,5,2,7,4]=>0111000=>56
[4,5,8,6,3,7,2,1]=>1110010=>114
[2,6,7,8,4,5,1,3]=>1001000=>72
[6,1,2,8,4,7,5,3]=>1011100=>92
[4,7,1,8,5,6,3,2]=>1110100=>116
[5,7,1,8,2,6,4,3]=>1111000=>120
[7,2,1,8,6,4,5,3]=>1111010=>122
[5,3,8,4,7,6,2,1]=>1111010=>122
[2,5,8,1,7,4,6,3]=>1011000=>88
[4,5,8,3,7,6,2,1]=>1110010=>114
[1,7,2,8,6,4,5,3]=>0111010=>58
[3,5,7,8,1,6,2,4]=>1100000=>96
[2,4,7,8,5,6,1,3]=>1000100=>68
[4,1,7,8,5,6,3,2]=>1110100=>116
[3,5,8,6,4,7,2,1]=>1101010=>106
[2,4,8,5,7,6,1,3]=>1000110=>70
[2,6,3,8,5,1,7,4]=>1011100=>92
[4,1,5,8,6,7,3,2]=>1110010=>114
[5,3,4,7,6,1,2,8]=>1010010=>82
[6,2,1,4,8,3,7,5]=>1110100=>116
[2,8,5,4,1,3,7,6]=>1001110=>78
[4,2,8,7,1,3,5,6]=>1100001=>97
[5,4,6,3,1,7,2,8]=>1111000=>120
[4,3,6,5,1,8,2,7]=>1110100=>116
[1,5,6,8,7,3,2,4]=>0110001=>49
[1,4,8,3,6,5,2,7]=>0110100=>52
[1,3,8,6,4,7,2,5]=>0101010=>42
[1,2,8,6,4,3,7,5]=>0011110=>30
[6,5,1,8,7,3,2,4]=>1110101=>117
[4,1,7,6,8,3,2,5]=>1110010=>114
[1,8,4,7,6,2,3,5]=>0101010=>42
[8,3,2,6,1,7,4,5]=>1111000=>120
[1,6,3,7,4,5,2,8]=>0111000=>56
[2,6,3,7,4,8,5,1]=>1011100=>92
[4,6,1,7,8,2,5,3]=>1110000=>112
[7,2,3,8,4,5,6,1]=>1101000=>104
[5,2,6,7,8,3,4,1]=>1110000=>112
[6,5,8,1,2,7,4,3]=>1011100=>92
[6,5,1,8,7,2,4,3]=>1110101=>117
[5,8,4,3,7,2,1,6]=>1111000=>120
[6,1,2,8,7,3,4,5]=>1010001=>81
[7,3,2,8,4,6,1,5]=>1111000=>120
[4,5,1,7,6,2,8,3]=>1110010=>114
[1,5,2,7,6,3,4,8]=>0110010=>50
[7,2,6,8,3,5,4,1]=>1111000=>120
[4,8,1,7,6,2,5,3]=>1110010=>114
[7,2,8,6,5,3,4,1]=>1110110=>118
[4,1,8,7,6,5,2,3]=>1100111=>103
[7,6,5,2,8,4,3,1]=>1111110=>126
[6,5,1,8,7,4,3,2]=>1111101=>125
[7,5,1,8,6,4,3,2]=>1111110=>126
[8,5,1,7,6,4,3,2]=>1111110=>126
[8,5,3,7,6,1,4,2]=>1110110=>118
[3,8,7,6,1,5,4,2]=>1101011=>107
[9,1,8,2,3,4,5,6,10,7]=>110000100=>388
[9,7,1,2,3,4,5,6,10,8]=>100000110=>262
[2,10,1,9,3,4,5,6,7,8]=>101000000=>320
[2,10,8,1,3,4,5,6,7,9]=>100000010=>258
[8,3,7,5,4,1,6,2]=>1111100=>124
[4,5,3,1,8,7,2,6]=>1110001=>113
[3,4,8,1,5,2,6,7]=>1100000=>96
[8,6,5,7,1,3,2,4]=>1100110=>102
[1,5,8,6,2,7,4,3]=>0111010=>58
[3,1,8,5,7,2,6,4]=>1101100=>108
[6,8,5,3,4,2,1,7]=>1110100=>116
[8,5,2,6,4,3,1,7]=>1111100=>124
[8,6,4,5,2,1,7,3]=>1111010=>122
[8,5,2,6,1,4,7,3]=>1110100=>116
[2,7,5,8,1,4,6,3]=>1010100=>84
[3,2,6,7,1,8,5,4]=>1101100=>108
[3,4,6,7,8,2,1,5]=>1100000=>96
[3,2,6,7,8,4,1,5]=>1101000=>104
[6,2,7,4,8,5,1,3]=>1101100=>108
[6,7,1,3,8,5,4,2]=>1101100=>108
[6,7,1,8,5,2,4,3]=>1110100=>116
[1,2,6,7,8,5,3,4]=>0010100=>20
[1,6,7,4,8,3,2,5]=>0111000=>56
[1,4,6,7,8,3,2,5]=>0110000=>48
[6,1,2,4,5,3,7,8]=>1010000=>80
[8,1,7,3,2,6,4,5]=>1111000=>120
[4,1,3,2,5,6,7,8,9]=>11000000=>192
[6,1,2,4,5,3,7,8,9]=>10100000=>160
[5,4,1,2,3,6,7,8,9]=>10010000=>144
[8,1,2,3,5,6,7,4,9]=>10010000=>144
[4,1,6,3,5,2,7,8,9]=>11100000=>224
[8,1,7,3,2,6,4,5,9]=>11110000=>240
[5,7,1,6,2,4,3,8,9]=>11100000=>224
[7,3,4,6,1,2,5,8,9]=>10100000=>160
[6,1,2,9,4,5,7,8,3]=>10110000=>176
[4,1,6,3,8,5,7,2,9]=>11101000=>232
[6,8,5,1,7,2,3,4,9]=>11001000=>200
[8,3,4,5,7,1,2,6,9]=>10100000=>160
[5,7,1,9,2,8,4,6,3]=>11110000=>240
[7,9,4,6,1,8,2,3,5]=>11010000=>208
[4,1,3,2,5,6,7,8,9,10]=>110000000=>384
[6,1,2,4,5,3,7,8,9,10]=>101000000=>320
[5,4,1,2,3,6,7,8,9,10]=>100100000=>288
[8,1,2,3,5,6,7,4,9,10]=>100100000=>288
[4,1,6,3,5,2,7,8,9,10]=>111000000=>448
[8,1,7,3,2,6,4,5,9,10]=>111100000=>480
[5,7,1,6,2,4,3,8,9,10]=>111000000=>448
[7,3,4,6,1,2,5,8,9,10]=>101000000=>320
[6,1,2,9,4,5,7,8,3,10]=>101100000=>352
[4,1,6,3,8,5,7,2,9,10]=>111010000=>464
[6,8,5,1,7,2,3,4,9,10]=>110010000=>400
[8,3,4,5,7,1,2,6,9,10]=>101000000=>320
[10,1,6,3,9,5,2,8,4,7]=>111110000=>496
[5,7,1,9,2,8,4,6,3,10]=>111100000=>480
[7,9,4,6,1,8,2,3,5,10]=>110100000=>416
[9,3,4,5,6,8,1,2,7,10]=>101000000=>320
[4,1,6,3,8,5,10,7,9,2]=>111010100=>468
[6,8,10,1,7,2,9,3,5,4]=>111100000=>480
[8,10,4,5,7,1,9,2,3,6]=>110100000=>416
[10,3,4,5,6,7,9,1,2,8]=>101000000=>320
[8,7,2,1,5,4,6,3]=>1111001=>121
[2,7,4,8,6,5,3,1]=>1011110=>94
[7,6,5,2,4,1,8,3]=>1110110=>118
[7,6,4,3,1,5,8,2]=>1111010=>122
[6,1,8,7,2,3,5,4]=>1101001=>105
[8,6,1,2,7,3,4,5]=>1010010=>82
[3,6,8,2,7,1,5,4]=>1101000=>104
[2,8,6,1,4,5,7,3]=>1010010=>82
[6,8,7,2,5,4,1,3]=>1101001=>105
[3,5,7,9,1,2,4,6,8,10]=>100000000=>256
[4,1,2,3,5,6,7,8,9,10]=>100000000=>256
[5,1,2,3,4,6,7,8,9,10]=>100000000=>256
[8,1,2,3,4,5,6,7,9,10]=>100000000=>256
[7,1,2,3,4,5,6,8,9,10]=>100000000=>256
[6,1,2,3,4,5,7,8,9,10]=>100000000=>256
[3,2,6,4,8,7,5,1]=>1101101=>109
[4,7,2,8,6,5,1,3]=>1100110=>102
[4,7,1,8,6,5,3,2]=>1110110=>118
[2,7,4,8,3,6,1,5]=>1011000=>88
[4,7,3,8,6,1,5,2]=>1110010=>114
[4,3,6,8,7,2,5,1]=>1110001=>113
[4,3,8,2,5,7,6,1]=>1110010=>114
[4,1,2,6,8,7,5,3]=>1010101=>85
[3,1,6,4,8,7,2,5]=>1101001=>105
[4,1,6,8,7,5,2,3]=>1100101=>101
[3,8,1,4,5,7,2,6]=>1100000=>96
[3,8,1,4,2,5,7,6]=>1100010=>98
[4,1,8,3,5,2,7,6]=>1110010=>114
[3,8,1,2,5,4,7,6]=>1001010=>74
[4,2,3,6,8,7,1,5]=>1100001=>97
[4,2,8,3,5,1,7,6]=>1110010=>114
[4,2,8,3,5,7,6,1]=>1110010=>114
[3,8,2,4,5,7,6,1]=>1100010=>98
[3,8,2,5,1,4,7,6]=>1100010=>98
[4,2,8,5,7,1,3,6]=>1100100=>100
[3,8,1,5,2,4,7,6]=>1100010=>98
[7,5,6,4,1,3,2,8]=>1101100=>108
[7,8,6,4,1,3,2,5]=>1101010=>106
[7,1,4,2,5,6,3,8]=>1110000=>112
[7,3,2,1,4,6,5,8]=>1110100=>116
[7,6,1,4,3,2,5,8]=>1110010=>114
[7,4,1,3,5,6,2,8]=>1101000=>104
[2,7,1,3,5,6,8,4]=>1001000=>72
[3,6,2,1,5,8,7,4]=>1101001=>105
[2,3,6,1,5,8,7,4]=>1001001=>73
[3,4,7,1,5,6,8,2]=>1100000=>96
[3,6,7,4,1,2,8,5]=>1001100=>76
[4,3,2,7,1,6,8,5]=>1110100=>116
[7,3,2,8,1,6,4,5]=>1111000=>120
[7,4,8,1,5,6,3,2]=>1111000=>120
[2,6,8,1,5,3,7,4]=>1011000=>88
[6,8,2,1,5,3,7,4]=>1111000=>120
[4,8,2,5,3,6,7,1]=>1110000=>112
[4,5,8,2,3,6,7,1]=>1100000=>96
[2,4,8,5,3,6,7,1]=>1010100=>84
[5,3,2,6,4,8,7,1]=>1111001=>121
[2,4,5,3,8,6,7,1]=>1010010=>82
[4,3,5,2,8,6,7,1]=>1110010=>114
[4,8,5,3,2,6,7,1]=>1110100=>116
[3,5,4,2,8,6,7,1]=>1101010=>106
[4,1,2,7,5,6,8,3]=>1010100=>84
[5,6,7,4,2,8,3,1]=>1111000=>120
[2,5,7,4,6,8,3,1]=>1011000=>88
[7,5,2,4,3,8,6,1]=>1110110=>118
[6,8,1,2,5,4,7,3]=>1011000=>88
[6,4,1,8,5,2,7,3]=>1111100=>124
[2,6,1,8,5,4,7,3]=>1011100=>92
[7,1,2,8,5,6,4,3]=>1011100=>92
[4,3,2,6,8,5,7,1]=>1110100=>116
[3,7,6,4,8,5,2,1]=>1101110=>110
[3,1,6,8,5,4,7,2]=>1101100=>108
[2,3,5,8,4,6,7,1]=>1001000=>72
[3,5,2,8,4,6,7,1]=>1101000=>104
[3,4,5,8,2,6,7,1]=>1100000=>96
[5,4,2,8,3,6,7,1]=>1111000=>120
[5,3,4,8,2,6,7,1]=>1110000=>112
[2,5,4,8,3,6,7,1]=>1011000=>88
[6,3,2,5,8,4,7,1]=>1111000=>120
[6,1,8,3,5,4,7,2]=>1111000=>120
[5,4,8,3,2,6,7,1]=>1111000=>120
[5,8,2,3,4,6,7,1]=>1100000=>96
[6,2,1,7,8,5,4,3]=>1111100=>124
[3,4,5,2,7,1,6,8]=>1100000=>96
[7,5,6,1,2,3,8,4]=>1001100=>76
[1,5,7,6,3,2,8,4]=>0111010=>58
[8,4,6,7,3,2,5,1]=>1111000=>120
[8,4,6,2,3,1,5,7]=>1101000=>104
[7,5,2,1,4,3,8,6]=>1110110=>118
[3,1,7,8,5,4,2,6]=>1101100=>108
[3,4,5,2,1,8,6,7]=>1100010=>98
[7,6,4,8,3,1,2,5]=>1011010=>90
[7,4,8,5,6,1,2,3]=>1001100=>76
[6,2,8,5,1,3,4,7]=>1100100=>100
[3,2,7,8,6,1,4,5]=>1100010=>98
[6,8,2,5,1,3,7,4]=>1101000=>104
[6,7,4,2,1,5,3,8]=>1111000=>120
[5,7,4,1,3,6,2,8]=>1101000=>104
[4,2,7,5,1,8,3,6]=>1110100=>116
[4,1,6,5,3,8,2,7]=>1110100=>116
[1,5,4,6,3,8,2,7]=>0111000=>56
[1,8,6,4,7,3,2,5]=>0111010=>58
[4,7,1,8,6,3,5,2]=>1110010=>114
[5,4,8,1,7,3,6,2]=>1111000=>120
[4,3,8,6,2,1,7,5]=>1110110=>118
[8,3,6,2,4,1,7,5]=>1110100=>116
[7,8,3,2,4,6,5,1]=>1110100=>116
[7,2,8,5,3,1,6,4]=>1111100=>124
[2,5,4,8,7,3,6,1]=>1011001=>89
[6,4,2,8,7,3,1,5]=>1111001=>121
[3,6,8,1,7,4,2,5]=>1101000=>104
[7,8,6,3,1,4,5,2]=>1110010=>114
[3,8,6,1,7,5,2,4]=>1100110=>102
[2,7,5,4,8,3,1,6]=>1011100=>92
[6,8,7,5,2,1,3,4]=>1100101=>101
[7,6,2,8,5,1,3,4]=>1100110=>102
[1,5,7,6,2,8,4,3]=>0111010=>58
[1,6,5,2,7,8,4,3]=>0111100=>60
[4,7,8,5,6,2,3,1]=>1100100=>100
[2,7,8,5,6,1,4,3]=>1010100=>84
[6,7,8,4,2,1,5,3]=>1111000=>120
[4,7,8,1,2,5,6,3]=>1010000=>80
[8,6,4,1,2,5,7,3]=>1011010=>90
[6,1,4,7,2,5,8,3]=>1110000=>112
[6,7,8,3,5,4,2,1]=>1111000=>120
[6,7,8,2,1,5,3,4]=>1110000=>112
[5,6,3,2,7,4,1,8]=>1111000=>120
[2,6,4,3,7,5,8,1]=>1011100=>92
[7,2,3,6,1,8,4,5]=>1101000=>104
[3,4,6,5,7,1,2,8]=>1000100=>68
[7,6,2,3,5,4,8,1]=>1101010=>106
[8,5,2,4,3,6,1,7]=>1110100=>116
[8,5,7,2,4,1,6,3]=>1110100=>116
[2,6,7,5,8,1,4,3]=>1010100=>84
[7,4,8,2,1,5,6,3]=>1111000=>120
[2,3,6,7,8,5,1,4]=>1000100=>68
[8,3,7,1,6,4,2,5]=>1111000=>120
[8,2,1,7,6,5,3,4]=>1110110=>118
[5,7,4,1,6,8,2,3]=>1101000=>104
[6,5,1,2,8,3,4,7]=>1010100=>84
[5,6,8,1,3,7,2,4]=>1100000=>96
[3,7,4,8,6,1,2,5]=>1001010=>74
[1,6,8,5,3,2,4,7]=>0110100=>52
[5,8,1,6,7,4,2,3]=>1101000=>104
[7,2,8,4,6,1,3,5]=>1101000=>104
[6,2,7,4,3,8,1,5]=>1111000=>120
[1,7,8,4,6,2,3,5]=>0101000=>40
[7,1,8,4,6,2,3,5]=>1101000=>104
[8,1,6,5,4,7,2,3]=>1101100=>108
[4,1,6,8,7,3,2,5]=>1110001=>113
[5,1,4,6,7,3,8,2]=>1110000=>112
[7,1,3,4,6,2,8,5]=>1100100=>100
[3,4,1,6,2,5,8,7,9]=>11000010=>194
[3,4,1,2,6,5,8,7,9]=>10001010=>138
[3,4,1,6,2,5,8,7,10,9]=>110000101=>389
[3,5,1,6,2,4,8,7,9]=>11000010=>194
[2,5,1,6,3,4,8,7,9]=>10100010=>162
[3,5,1,2,6,4,8,7,9]=>10010010=>146
[2,5,1,3,6,4,8,7,9]=>10010010=>146
[8,7,1,4,6,3,2,5]=>1110001=>113
[6,5,2,8,4,7,1,3]=>1101100=>108
[1,4,7,5,8,6,3,2]=>0110110=>54
[6,1,8,3,4,7,2,5]=>1110000=>112
[1,8,6,3,5,2,7,4]=>0111010=>58
[7,8,1,3,5,4,2,6]=>1101000=>104
[4,7,1,6,8,3,5,2]=>1110000=>112
[3,6,5,2,8,4,1,7]=>1101100=>108
[8,2,5,6,3,1,7,4]=>1111000=>120
[7,1,8,4,2,5,3,6]=>1111000=>120
[1,4,8,7,5,2,6,3]=>0110101=>53
[1,5,6,4,2,3,7,8]=>0101000=>40
[5,7,3,6,8,4,2,1]=>1111000=>120
[5,8,7,4,2,1,3,6]=>1101001=>105
[3,1,5,2,7,8,6,4]=>1101010=>106
[1,8,7,3,2,5,4,6]=>0111001=>57
[1,2,5,4,8,7,3,6]=>0011001=>25
[1,2,4,8,6,3,5,7]=>0010010=>18
[1,5,2,4,7,3,8,6]=>0110010=>50
[8,6,3,5,7,4,1,2]=>1011010=>90
[8,5,3,2,1,4,7,6]=>1110110=>118
[1,2,7,6,8,4,3,5]=>0011010=>26
[1,6,3,2,5,7,8,4]=>0111000=>56
[1,7,3,4,2,6,8,5]=>0110100=>52
[1,6,3,5,8,4,2,7]=>0111000=>56
[1,5,6,3,2,8,4,7]=>0111000=>56
[1,2,5,8,4,6,3,7]=>0011000=>24
[1,5,3,2,7,8,4,6]=>0111000=>56
[4,1,8,6,2,3,7,5]=>1100110=>102
[7,5,8,6,2,3,4,1]=>1100110=>102
[1,7,6,4,3,8,5,2]=>0111110=>62
[1,8,5,7,6,3,2,4]=>0110110=>54
[1,4,7,3,6,8,5,2]=>0110100=>52
[1,6,3,5,7,8,4,2]=>0111000=>56
[1,5,6,3,2,7,8,4]=>0111000=>56
[1,2,7,6,8,4,5,3]=>0011010=>26
[1,8,4,7,5,3,2,6]=>0111100=>60
[6,8,5,2,1,7,4,3]=>1111100=>124
[1,2,6,8,4,3,7,5]=>0011100=>28
[5,3,7,2,6,4,1,8]=>1111000=>120
[5,3,8,2,6,1,7,4]=>1111000=>120
[7,6,2,5,3,4,1,8]=>1110010=>114
[7,6,2,4,5,3,1,8]=>1110010=>114
[7,6,2,4,3,5,1,8]=>1110010=>114
[7,6,2,3,5,4,1,8]=>1101010=>106
[8,4,2,7,1,6,3,5]=>1111000=>120
[8,7,6,1,5,3,2,4]=>1110011=>115
[8,7,6,1,4,3,5,2]=>1110011=>115
[8,7,6,1,3,5,4,2]=>1101011=>107
[8,7,6,1,5,4,2,3]=>1101011=>107
[8,6,2,7,1,5,3,4]=>1110010=>114
[5,3,7,2,8,1,6,4]=>1111000=>120
[8,3,5,4,2,1,6,7]=>1111000=>120
[7,8,4,3,1,5,2,6]=>1111000=>120
[8,6,3,7,1,5,2,4]=>1110010=>114
[8,7,6,1,2,5,3,4]=>1010011=>83
[8,7,6,1,2,5,4,3]=>1011011=>91
[8,7,6,1,4,2,5,3]=>1110011=>115
[4,7,5,8,6,1,3,2]=>1100110=>102
[6,5,7,3,8,4,1,2]=>1011100=>92
[8,7,5,4,1,2,6,3]=>1011101=>93
[8,6,7,1,5,3,2,4]=>1110010=>114
[7,5,6,1,3,4,2,8]=>1100100=>100
[5,7,8,1,3,4,2,6]=>1100000=>96
[7,8,5,1,3,4,2,6]=>1100100=>100
[5,7,8,3,4,6,1,2]=>1010000=>80
[7,5,1,3,4,2,6,8]=>1100100=>100
[5,7,1,3,4,2,8,6]=>1100010=>98
[7,3,5,6,4,8,1,2]=>1011000=>88
[1,7,3,8,2,5,6,4]=>0111000=>56
[1,5,3,7,8,4,6,2]=>0111000=>56
[1,5,7,3,8,2,6,4]=>0111000=>56
[7,1,5,3,6,2,4,8]=>1110000=>112
[1,7,3,5,8,4,2,6]=>0111000=>56
[1,3,7,5,8,6,2,4]=>0100110=>38
[1,7,8,5,3,6,2,4]=>0110100=>52
[1,7,5,8,3,4,2,6]=>0110100=>52
[7,1,5,6,3,4,2,8]=>1110000=>112
[7,3,5,6,4,1,2,8]=>1011000=>88
[3,7,5,8,4,1,2,6]=>1001100=>76
[7,5,6,8,1,3,4,2]=>1100100=>100
[5,3,4,7,8,1,2,6]=>1010000=>80
[5,3,7,6,8,1,2,4]=>1010010=>82
[3,7,1,2,5,8,4,6]=>1001000=>72
[3,1,2,7,5,8,4,6]=>1001100=>76
[3,1,2,5,7,8,6,4]=>1001010=>74
[7,3,1,5,4,6,2,8]=>1111000=>120
[7,3,5,1,2,6,4,8]=>1011000=>88
[3,7,1,2,8,5,6,4]=>1001100=>76
[5,3,1,7,4,6,8,2]=>1111000=>120
[5,3,7,1,2,6,8,4]=>1011000=>88
[7,4,8,3,5,6,1,2]=>1011000=>88
[2,4,7,3,5,6,1,8]=>1010000=>80
[5,7,6,4,2,3,1,8]=>1101010=>106
[7,4,8,2,5,6,1,3]=>1101000=>104
[5,8,2,4,6,1,3,7]=>1100000=>96
[6,1,4,8,5,2,7,3]=>1110100=>116
[3,4,5,8,1,6,7,2]=>1100000=>96
[6,8,7,4,2,1,5,3]=>1111001=>121
[5,6,8,4,7,3,1,2]=>1011000=>88
[3,1,6,8,5,2,7,4]=>1101100=>108
[2,3,8,1,5,6,4,7]=>1001000=>72
[5,4,8,1,2,6,7,3]=>1011000=>88
[5,1,8,2,4,6,7,3]=>1110000=>112
[5,2,3,8,1,7,4,6]=>1101000=>104
[2,3,5,7,1,6,4,8]=>1001000=>72
[1,5,3,8,2,4,6,7]=>0110000=>48
[8,6,2,7,5,1,4,3]=>1110110=>118
[2,7,1,8,6,3,5,4]=>1011010=>90
[5,7,6,1,3,2,8,4]=>1101010=>106
[3,5,4,6,1,7,8,2]=>1101000=>104
[8,1,5,4,6,3,7,2]=>1111000=>120
[2,7,1,5,6,4,3,8]=>1011000=>88
[8,4,6,3,1,7,2,5]=>1111000=>120
[8,4,2,5,6,3,7,1]=>1111000=>120
[8,6,2,7,5,4,3,1]=>1111110=>126
[5,4,7,2,8,6,1,3]=>1101010=>106
[3,5,6,4,1,7,2,8]=>1101000=>104
[2,5,6,1,7,4,3,8]=>1011000=>88
[2,7,1,8,6,5,4,3]=>1011110=>94
[3,7,6,1,8,5,4,2]=>1101110=>110
[8,6,4,2,1,3,5,7,9]=>11010100=>212
[8,6,2,1,4,3,5,7,9]=>11100100=>228
[8,4,2,1,6,3,5,7,9]=>11110000=>240
[6,4,2,1,8,3,5,7,9]=>11110000=>240
[8,6,4,2,9,1,3,5,7]=>11010100=>212
[9,6,4,2,7,1,3,5,8]=>11010100=>212
[9,7,4,2,5,1,3,6,8]=>11010010=>210
[9,7,5,2,3,1,4,6,8]=>11001010=>202
[9,7,5,3,1,2,4,6,8]=>10101010=>170
[10,8,6,4,2,1,3,5,7,9]=>110101010=>426
[10,8,6,2,1,4,3,5,7,9]=>111001010=>458
[8,2,1,4,3,6,5,7,9]=>11101000=>232
[10,8,4,2,1,6,3,5,7,9]=>111100010=>482
[4,2,1,6,3,5,8,7,9]=>11100010=>226
[10,6,4,2,1,8,3,5,7,9]=>111101000=>488
[6,4,2,1,8,3,5,9,7]=>11110010=>242
[8,6,4,2,1,10,3,5,7,9]=>111101000=>488
[6,4,2,7,1,3,5,8,9]=>11010000=>208
[8,6,4,2,9,1,3,5,7,10]=>110101000=>424
[6,2,8,3,1,4,5,7]=>1110000=>112
[8,9,4,2,5,1,3,6,7]=>11010000=>208
[9,6,4,2,7,1,3,5,8,10]=>110101000=>424
[2,7,8,3,1,4,5,6]=>1010000=>80
[9,6,7,2,3,1,4,5,8]=>11000100=>196
[9,7,4,2,5,1,3,6,8,10]=>110100100=>420
[9,7,4,5,1,2,3,6,8]=>10010010=>146
[9,7,5,2,3,1,4,6,8,10]=>110010100=>404
[9,7,5,3,1,2,4,6,8,10]=>101010100=>340
[1,5,3,2,8,6,7,4]=>0111010=>58
[1,8,5,3,2,6,7,4]=>0111100=>60
[1,7,8,5,6,3,2,4]=>0110100=>52
[1,5,6,7,3,2,8,4]=>0111000=>56
[1,7,5,2,3,4,8,6]=>0100110=>38
[1,7,5,2,4,8,6,3]=>0110110=>54
[1,6,7,8,3,2,4,5]=>0110000=>48
[1,4,8,6,2,3,5,7]=>0100010=>34
[1,8,4,5,6,7,2,3]=>0101000=>40
[1,2,8,6,3,4,5,7]=>0010010=>18
[1,2,8,6,3,5,7,4]=>0011010=>26
[1,2,7,8,4,3,5,6]=>0011000=>24
[1,8,6,7,4,2,3,5]=>0101010=>42
[1,6,7,8,4,2,3,5]=>0101000=>40
[1,6,7,8,3,4,2,5]=>0110000=>48
[1,7,8,4,2,3,5,6]=>0101000=>40
[1,7,3,5,6,2,8,4]=>0111000=>56
[1,7,8,3,4,2,5,6]=>0110000=>48
[1,2,3,7,8,5,4,6]=>0001100=>12
[1,2,7,4,6,3,8,5]=>0011100=>28
[1,7,4,5,2,3,8,6]=>0101010=>42
[1,7,8,4,5,2,3,6]=>0101000=>40
[1,7,8,3,4,5,2,6]=>0110000=>48
[1,2,8,4,5,6,3,7]=>0011000=>24
[1,8,4,5,6,2,3,7]=>0101000=>40
[5,8,2,7,3,4,1,6]=>1110000=>112
[6,8,7,2,3,4,1,5]=>1100001=>97
[3,8,7,5,2,6,1,4]=>1100101=>101
[4,8,7,3,2,5,1,6]=>1110001=>113
[5,3,8,1,6,7,4,2]=>1111000=>120
[5,8,2,1,3,7,6,4]=>1101010=>106
[5,1,8,2,6,4,7,3]=>1111000=>120
[5,1,8,3,6,7,4,2]=>1111000=>120
[3,1,8,4,6,2,7,5]=>1101100=>108
[8,4,1,6,5,2,3,7]=>1101100=>108
[1,8,7,6,4,3,5,2]=>0111011=>59
[6,1,8,7,5,3,4,2]=>1110101=>117
[6,8,7,3,2,4,1,5]=>1110001=>113
[2,3,7,5,6,8,4,1]=>1001100=>76
[3,2,4,7,5,8,1,6]=>1100100=>100
[2,8,7,6,4,5,1,3]=>1001011=>75
[4,8,7,6,3,1,5,2]=>1110011=>115
[3,5,2,4,7,6,8,1]=>1100010=>98
[5,3,2,6,4,7,8,1]=>1111000=>120
[5,3,2,6,7,4,8,1]=>1111000=>120
[5,3,2,7,6,4,8,1]=>1111010=>122
[7,3,5,2,8,4,6,1]=>1111000=>120
[3,5,2,7,4,6,8,1]=>1101000=>104
[3,2,5,7,4,6,8,1]=>1101000=>104
[3,2,7,5,4,8,6,1]=>1101110=>110
[3,7,5,2,4,8,6,1]=>1100110=>102
[2,3,7,5,4,8,6,1]=>1001110=>78
[8,3,5,1,6,4,7,2]=>1111000=>120
[8,4,5,6,1,3,7,2]=>1101000=>104
[3,4,7,6,8,2,5,1]=>1100010=>98
[5,2,8,4,1,3,6,7]=>1101000=>104
[3,8,5,2,1,4,6,7]=>1100100=>100
[7,6,4,1,8,2,5,3]=>1111010=>122
[7,5,4,2,1,6,3,8]=>1111100=>124
[8,1,6,7,3,4,2,5]=>1110000=>112
[8,2,1,6,7,4,3,5]=>1111000=>120
[5,2,8,6,3,7,1,4]=>1110010=>114
[7,6,8,1,2,5,4,3]=>1011010=>90
[1,2,9,3,4,5,6,8,7]=>00100010=>34
[1,2,3,8,4,5,9,6,7]=>00010100=>20
[1,2,3,4,9,5,6,8,7]=>00001010=>10
[2,1,3,4,8,5,7,6]=>1000110=>70
[1,2,3,4,5,9,6,8,7]=>00000110=>6
[7,1,2,3,4,8,5,9,6]=>10001100=>140
[6,9,1,2,3,4,8,5,7]=>10001000=>136
[1,2,10,3,4,5,6,7,9,8]=>001000010=>66
[5,1,9,2,3,4,8,6,7]=>11000100=>196
[1,2,3,9,4,5,6,10,7,8]=>000100100=>36
[4,1,2,3,5,8,6,9,7]=>10000110=>134
[1,2,3,4,10,5,6,7,9,8]=>000010010=>18
[3,1,2,4,9,5,8,6,7]=>10001100=>140
[1,2,3,4,5,10,6,7,9,8]=>000001010=>10
[2,1,3,4,5,9,6,8,7]=>10000110=>134
[1,2,3,4,5,6,9,10,7,8]=>000000100=>4
[8,1,2,3,4,5,9,6,10,7]=>100001100=>268
[1,7,2,3,4,5,9,8,6]=>01000101=>69
[7,10,1,2,3,4,5,9,6,8]=>100001000=>264
[1,6,2,3,4,5,9,8,7]=>01000011=>67
[6,1,2,3,7,4,8,9,5]=>10011000=>152
[6,1,10,2,3,4,5,9,7,8]=>110000100=>388
[5,7,1,2,6,8,3,4]=>1010000=>80
[1,2,3,8,5,4,6,9,7]=>00011010=>26
[5,9,1,2,6,3,4,8,7]=>10100010=>162
[5,1,2,3,4,6,9,7,10,8]=>100000110=>262
[1,4,2,3,5,6,9,8,7]=>01000011=>67
[1,5,2,3,6,8,7,4]=>0101001=>41
[4,1,9,5,2,3,6,8,7]=>11001010=>202
[4,1,2,3,10,5,6,9,7,8]=>100010100=>276
[1,3,2,4,5,6,9,8,7]=>01000011=>67
[3,4,1,2,5,6,8,9,7]=>10000010=>130
[3,1,2,4,5,10,6,9,7,8]=>100001100=>268
[2,3,1,4,9,5,6,8,7]=>10001010=>138
[3,5,7,4,1,8,2,6]=>1101000=>104
[8,6,4,7,5,1,2,3]=>1001110=>78
[8,6,4,1,2,5,3,7]=>1011010=>90
[2,8,4,3,1,6,5,7]=>1011100=>92
[3,8,4,6,1,5,2,7]=>1101000=>104
[8,3,5,6,1,4,7,2]=>1110000=>112
[6,8,7,3,5,4,2,1]=>1111001=>121
[3,1,2,8,5,7,4,6]=>1001100=>76
[8,1,2,3,4,6,9,5,7]=>10001000=>136
[8,1,2,4,6,9,3,5,7]=>10100000=>160
[6,1,2,3,4,5,9,8,7]=>10000011=>131
[5,1,2,3,4,8,6,9,7]=>10000110=>134
[4,1,2,3,9,6,8,5,7]=>10001100=>140
[9,1,2,3,4,5,7,10,6,8]=>100001000=>264
[7,3,1,2,5,8,4,6]=>1011000=>88
[3,1,2,8,4,6,9,5,7]=>10011000=>152
[8,3,5,7,2,1,4,6]=>1110000=>112
[2,1,3,8,5,7,4,6]=>1001100=>76
[2,1,9,4,6,8,3,5,7]=>10110000=>176
[9,1,2,3,5,7,10,4,6,8]=>100100000=>288
[1,8,2,4,6,9,3,5,7]=>01100000=>96
[9,1,3,5,7,10,2,4,6,8]=>110000000=>384
[7,3,1,2,8,4,5,6]=>1011000=>88
[2,1,4,7,6,3,5,8]=>1010010=>82
[7,2,4,5,3,8,1,6]=>1110000=>112
[8,4,2,5,6,7,3,1]=>1111000=>120
[5,4,1,6,3,7,8,2]=>1111000=>120
[4,5,1,3,6,7,8,2]=>1100000=>96
[5,1,7,6,3,4,8,2]=>1110010=>114
[6,1,7,5,4,8,2,3]=>1101100=>108
[3,7,2,1,6,8,4,5]=>1101000=>104
[1,5,8,2,4,7,6,3]=>0110010=>50
[5,8,1,6,4,7,3,2]=>1111000=>120
[3,8,6,5,7,2,4,1]=>1100110=>102
[6,8,1,4,7,3,5,2]=>1110000=>112
[1,6,8,2,7,4,5,3]=>0111000=>56
[5,7,2,1,8,4,3,6]=>1111000=>120
[5,7,1,6,8,3,2,4]=>1110000=>112
[5,6,2,1,8,3,4,7]=>1110000=>112
[6,4,1,7,3,8,2,5]=>1111000=>120
[8,2,5,6,7,1,4,3]=>1110000=>112
[7,2,4,6,8,3,1,5]=>1110000=>112
[6,2,4,7,8,1,3,5]=>1100000=>96
[6,1,4,3,2,8,5,7]=>1110100=>116
[2,7,4,8,6,1,5,3]=>1011010=>90
[2,4,8,6,5,7,3,1]=>1010110=>86
[3,7,8,6,4,2,5,1]=>1101010=>106
[6,2,8,4,7,5,1,3]=>1101100=>108
[4,5,7,3,6,8,1,2]=>1010000=>80
[3,4,7,8,6,5,1,2]=>1000110=>70
[1,4,7,2,6,8,5,3]=>0110100=>52
[2,3,7,6,5,1,4,8]=>1000110=>70
[3,2,7,6,4,1,5,8]=>1101010=>106
[6,2,3,5,7,1,4,8]=>1100000=>96
[7,8,1,2,5,6,4,3]=>1011000=>88
[7,1,3,6,8,5,2,4]=>1100100=>100
[4,2,8,5,1,6,3,7]=>1110100=>116
[6,5,8,1,4,2,3,7]=>1100100=>100
[3,8,2,4,5,1,6,7]=>1100000=>96
[3,6,2,4,1,5,7,8]=>1100000=>96
[2,3,8,4,1,6,5,7]=>1001100=>76
[4,5,7,3,1,6,2,8]=>1110000=>112
[2,3,1,4,8,5,7,6]=>1000110=>70
[4,2,6,1,5,8,7,3]=>1110001=>113
[7,5,1,8,4,3,6,2]=>1111100=>124
[3,1,8,5,7,6,4,2]=>1101110=>110
[5,1,8,7,4,6,3,2]=>1111001=>121
[2,4,8,7,5,1,3,6]=>1000101=>69
[3,5,7,6,1,8,4,2]=>1101010=>106
[3,5,7,6,2,8,4,1]=>1101010=>106
[1,5,3,2,8,7,6,4]=>0111011=>59
[6,1,4,3,8,7,5,2]=>1110101=>117
[6,3,1,8,7,4,2,5]=>1111001=>121
[5,3,6,2,8,7,4,1]=>1111001=>121
[6,3,5,2,1,8,7,4]=>1111001=>121
[2,8,4,1,3,7,6,5]=>1001110=>78
[3,8,1,4,7,6,5,2]=>1100110=>102
[6,2,3,8,7,5,4,1]=>1101101=>109
[4,1,3,5,8,7,6,2]=>1100011=>99
[3,4,7,5,8,1,2,6]=>1000100=>68
[2,7,8,3,4,1,5,6]=>1010000=>80
[2,8,6,7,5,4,3,1]=>1011110=>94
[7,2,6,8,1,4,3,5]=>1110000=>112
[5,3,6,2,8,4,7,1]=>1111000=>120
[8,1,6,3,7,4,5,2]=>1111000=>120
[2,4,3,7,1,8,6,5]=>1010110=>86
[2,6,5,7,3,8,4,1]=>1011100=>92
[6,8,2,7,4,1,5,3]=>1111000=>120
[6,1,7,8,5,3,2,4]=>1110100=>116
[2,6,5,4,7,1,8,3]=>1011100=>92
[5,8,3,4,6,1,7,2]=>1110000=>112
[6,1,7,4,2,5,8,3]=>1111000=>120
[6,8,7,1,5,4,2,3]=>1101001=>105
[4,8,3,1,5,7,6,2]=>1110010=>114
[5,3,8,2,7,1,6,4]=>1111000=>120
[8,3,4,5,2,7,1,6]=>1110000=>112
[8,2,6,7,1,5,3,4]=>1110000=>112
[3,7,1,5,2,6,8,4]=>1101000=>104
[6,7,1,8,3,4,5,2]=>1110000=>112
[3,7,1,6,8,4,5,2]=>1101000=>104
[3,8,5,2,6,7,1,4]=>1100100=>100
[3,6,5,2,7,1,4,8]=>1100100=>100
[6,8,3,4,7,1,5,2]=>1110000=>112
[3,7,1,6,5,2,8,4]=>1101100=>108
[8,3,5,2,7,1,6,4]=>1111000=>120
[7,1,8,4,6,3,5,2]=>1111000=>120
[3,8,6,4,7,1,5,2]=>1101010=>106
[3,7,1,4,8,6,5,2]=>1100110=>102
[3,7,1,4,5,2,8,6]=>1100010=>98
[2,3,7,6,5,8,1,4]=>1000110=>70
[4,3,5,6,7,8,9,1,2]=>10100000=>160
[6,7,8,5,4,3,2,1,9]=>11111000=>248
[6,5,7,8,4,3,2,1,9]=>11111000=>248
[6,5,4,7,8,3,2,1,9]=>11111000=>248
[6,5,4,3,7,8,2,1,9]=>11111000=>248
[6,5,4,3,2,7,8,1,9]=>11111000=>248
[7,8,9,5,4,3,2,1,6]=>11111000=>248
[7,8,9,6,5,4,3,2,1,10]=>111111000=>504
[6,7,8,9,4,3,2,1,5]=>11110000=>240
[7,6,8,9,5,4,3,2,1,10]=>111111000=>504
[6,5,7,8,9,3,2,1,4]=>11101000=>232
[7,6,5,8,9,4,3,2,1,10]=>111111000=>504
[6,5,4,7,8,9,2,1,3]=>11011000=>216
[7,6,5,4,8,9,3,2,1,10]=>111111000=>504
[6,5,4,3,7,8,9,1,2]=>10111000=>184
[7,6,5,4,3,8,9,2,1,10]=>111111000=>504
[6,5,4,3,2,7,8,9,1]=>11111000=>248
[7,6,5,4,3,2,8,9,1,10]=>111111000=>504
[3,5,7,6,8,2,1,4]=>1100010=>98
[4,2,5,3,7,6,1,8]=>1110010=>114
[6,2,4,3,7,5,1,8]=>1110100=>116
[1,3,6,4,7,5,2,8]=>0101100=>44
[8,2,5,3,6,4,1,7]=>1111000=>120
[7,2,5,3,6,4,1,8]=>1111000=>120
[6,2,5,3,7,4,1,8]=>1111000=>120
[4,2,6,3,7,5,1,8]=>1110100=>116
[5,2,7,3,6,4,1,8]=>1111000=>120
[7,3,6,2,5,4,1,8]=>1111000=>120
[6,3,8,2,5,4,1,7]=>1111000=>120
[7,3,1,4,6,5,2,8]=>1110100=>116
[8,3,7,2,5,4,1,6]=>1111000=>120
[5,2,8,3,6,4,1,7]=>1111000=>120
[3,2,8,4,6,5,1,7]=>1101100=>108
[1,4,7,3,6,5,2,8]=>0110100=>52
[8,2,5,4,1,6,3,7]=>1111000=>120
[8,2,6,4,1,5,3,7]=>1111000=>120
[1,4,8,3,7,5,2,6]=>0110100=>52
[6,2,1,4,8,5,3,7]=>1110100=>116
[5,2,1,4,8,6,3,7]=>1110010=>114
[3,2,1,5,8,6,4,7]=>1101010=>106
[4,2,8,3,7,5,1,6]=>1110100=>116
[5,2,8,3,7,4,1,6]=>1111000=>120
[8,3,7,2,6,4,1,5]=>1111000=>120
[7,3,1,4,8,5,2,6]=>1110100=>116
[1,3,7,4,8,5,2,6]=>0101100=>44
[8,2,6,3,7,4,1,5]=>1111000=>120
[7,2,6,3,8,4,1,5]=>1111000=>120
[5,2,7,3,8,4,1,6]=>1111000=>120
[3,2,7,4,8,5,1,6]=>1101100=>108
[5,2,6,3,8,4,1,7]=>1111000=>120
[6,2,5,3,8,4,1,7]=>1111000=>120
[7,2,5,3,8,4,1,6]=>1111000=>120
[8,2,5,3,7,4,1,6]=>1111000=>120
[1,3,6,4,8,5,2,7]=>0101100=>44
[1,3,5,4,8,6,2,7]=>0101010=>42
[8,2,4,3,7,5,1,6]=>1110100=>116
[7,2,4,3,8,5,1,6]=>1110100=>116
[6,2,4,3,8,5,1,7]=>1110100=>116
[5,2,4,3,8,6,1,7]=>1110010=>114
[4,2,5,3,8,6,1,7]=>1110010=>114
[4,2,5,3,1,7,6,8]=>1110010=>114
[6,2,4,3,1,7,5,8]=>1110100=>116
[7,2,4,3,1,6,5,8]=>1110100=>116
[8,5,1,3,6,4,2,7]=>1101100=>108
[8,4,1,3,6,5,2,7]=>1101100=>108
[1,5,2,4,7,6,3,8]=>0110010=>50
[7,2,5,3,1,6,4,8]=>1111000=>120
[6,2,5,3,1,7,4,8]=>1111000=>120
[4,2,6,3,1,7,5,8]=>1110100=>116
[3,2,6,4,1,7,5,8]=>1101100=>108
[3,2,7,4,1,6,5,8]=>1101100=>108
[4,2,7,3,1,6,5,8]=>1110100=>116
[5,2,7,3,1,6,4,8]=>1111000=>120
[6,2,7,3,1,5,4,8]=>1111000=>120
[7,2,6,3,1,5,4,8]=>1111000=>120
[1,5,2,4,8,6,3,7]=>0110010=>50
[8,4,1,3,7,5,2,6]=>1101100=>108
[6,2,1,5,3,7,4,8]=>1111000=>120
[3,2,1,6,4,7,5,8]=>1101100=>108
[3,2,8,5,1,6,4,7]=>1101100=>108
[6,2,8,4,1,5,3,7]=>1111000=>120
[8,3,7,4,1,5,2,6]=>1111000=>120
[7,1,3,2,5,6,4,8]=>1101000=>104
[6,3,5,2,4,8,1,7]=>1110000=>112
[1,5,2,8,7,4,3,6]=>0111001=>57
[5,7,2,8,1,4,3,6]=>1110000=>112
[5,8,2,7,1,4,3,6]=>1110000=>112
[4,8,3,1,5,2,7,6]=>1110010=>114
[7,1,5,3,2,6,8,4]=>1111000=>120
[3,1,5,7,8,6,2,4]=>1100010=>98
[8,7,6,5,3,2,1,4,9]=>11101110=>238
[8,7,6,4,3,2,1,5,9]=>11110110=>246
[8,7,5,4,3,2,1,6,9]=>11111010=>250
[8,7,6,5,4,1,2,3,9]=>10011110=>158
[9,8,7,6,5,4,2,1,3,10]=>110111110=>446
[8,7,6,5,2,3,1,4,9]=>11001110=>206
[9,8,7,6,5,3,2,1,4,10]=>111011110=>478
[8,7,6,3,4,2,1,5,9]=>11100110=>230
[9,8,7,6,4,3,2,1,5,10]=>111101110=>494
[8,7,4,5,3,2,1,6,9]=>11110010=>242
[9,8,7,5,4,3,2,1,6,10]=>111110110=>502
[8,5,6,4,3,2,1,7,9]=>11111000=>248
[9,8,6,5,4,3,2,1,7,10]=>111111010=>506
[6,7,5,4,3,2,1,8,9]=>11111000=>248
[8,6,2,3,1,5,7,4]=>1101010=>106
[2,5,1,7,4,8,6,3]=>1011010=>90
[8,6,7,3,5,2,1,4]=>1110010=>114
[1,4,2,7,3,6,8,5]=>0110100=>52
[3,2,1,7,8,5,4,6]=>1101100=>108
[7,3,4,2,1,5,8,6]=>1110010=>114
[1,7,6,3,2,4,8,5]=>0110110=>54
[2,1,6,4,7,8,5,3]=>1011100=>92
[1,6,3,2,4,7,8,5]=>0110100=>52
[1,2,3,7,5,8,4,6]=>0001100=>12
[1,8,5,3,2,4,7,6]=>0110110=>54
[4,7,8,1,5,6,2,3]=>1100000=>96
[3,6,7,1,8,4,2,5]=>1101000=>104
[1,3,7,6,2,4,5,8]=>0100010=>34
[2,7,3,8,4,5,6,1]=>1011000=>88
[7,1,4,3,8,5,6,2]=>1110100=>116
[5,6,2,7,8,3,4,1]=>1110000=>112
[7,4,1,8,5,6,2,3]=>1101100=>108
[7,2,5,8,1,6,3,4]=>1110000=>112
[6,4,8,1,5,7,2,3]=>1101000=>104
[2,7,4,1,3,6,8,5]=>1001100=>76
[5,2,1,8,4,6,7,3]=>1111000=>120
[6,2,1,4,7,5,8,3]=>1110100=>116
[6,8,7,9,5,4,3,2,1]=>11111010=>250
[5,8,7,6,9,4,3,2,1]=>11110110=>246
[4,8,7,6,5,9,3,2,1]=>11101110=>238
[3,8,7,6,5,4,9,2,1]=>11011110=>222
[2,8,7,6,5,4,3,9,1]=>10111110=>190
[1,2,8,4,6,3,5,7]=>0011000=>24
[2,6,1,5,4,7,3,8]=>1011000=>88
[1,2,8,5,4,6,3,7]=>0011100=>28
[1,3,6,8,4,5,7,2]=>0101000=>40
[1,2,8,4,6,3,7,5]=>0011100=>28
[4,6,3,5,7,8,1,2]=>1010000=>80
[2,7,6,5,1,4,8,3]=>1010110=>86
[2,7,4,8,1,3,6,5]=>1001100=>76
[2,3,6,8,4,1,7,5]=>1001100=>76
[1,2,6,8,4,7,5,3]=>0011100=>28
[1,7,2,8,6,3,5,4]=>0111010=>58
[2,3,8,5,4,7,1,6]=>1001100=>76
[1,2,8,4,7,3,5,6]=>0011000=>24
[2,6,1,4,8,3,7,5]=>1010100=>84
[3,7,6,5,2,1,4,8]=>1100110=>102
[2,5,6,1,4,8,7,3]=>1010001=>81
[8,4,2,3,7,1,6,5]=>1101100=>108
[5,2,4,8,7,3,1,6]=>1110001=>113
[8,3,2,6,7,4,1,5]=>1111000=>120
[3,2,4,6,7,8,1,5]=>1100000=>96
[5,2,6,8,1,3,7,4]=>1101000=>104
[4,8,1,6,3,7,5,2]=>1110100=>116
[7,1,5,2,6,4,3,8]=>1111000=>120
[8,3,5,2,6,1,4,7]=>1110000=>112
[1,8,5,6,2,7,4,3]=>0111100=>60
[8,3,2,4,6,7,1,5]=>1110000=>112
[4,2,7,6,1,8,5,3]=>1110110=>118
[7,2,4,8,6,3,5,1]=>1110010=>114
[7,3,2,1,8,5,4,6]=>1111100=>124
[7,3,2,1,6,4,8,5]=>1111100=>124
[3,6,5,2,1,8,4,7]=>1101100=>108
[6,7,2,4,3,5,8,1]=>1110000=>112
[4,5,3,7,2,1,6,8]=>1110000=>112
[4,3,8,2,1,5,7,6]=>1110010=>114
[4,3,2,8,1,6,7,5]=>1110100=>116
[4,5,8,3,2,7,1,6]=>1110000=>112
[6,8,5,2,7,3,4,1]=>1110100=>116
[5,4,7,8,2,3,6,1]=>1101000=>104
[4,3,8,2,1,6,7,5]=>1110100=>116
[1,9,2,4,5,6,7,8,3]=>01100000=>96
[9,1,3,4,5,6,7,8,2]=>11000000=>192
[3,5,7,4,6,2,8,1]=>1101000=>104
[5,3,7,6,2,4,8,1]=>1110010=>114
[4,6,7,2,5,3,8,1]=>1110000=>112
[6,4,7,8,3,1,5,2]=>1111000=>120
[8,4,7,3,1,5,6,2]=>1111000=>120
[5,8,1,7,6,4,2,3]=>1101010=>106
[5,6,7,1,8,3,4,2]=>1110000=>112
[7,1,8,6,2,5,4,3]=>1111010=>122
[8,5,1,7,6,4,2,3]=>1101110=>110
[1,5,8,2,6,4,7,3]=>0111000=>56
[1,5,7,4,6,8,3,2]=>0111000=>56
[1,4,7,5,6,8,3,2]=>0110100=>52
[5,6,7,4,8,1,3,2]=>1101000=>104
[4,8,1,7,2,5,6,3]=>1110000=>112
[2,6,7,1,5,4,8,3]=>1011000=>88
[3,2,7,6,5,8,1,4]=>1100110=>102
[1,7,3,4,5,8,2,6]=>0110000=>48
[7,1,8,4,5,6,3,2]=>1111000=>120
[10,1,3,4,5,6,7,8,9,2]=>110000000=>384
[1,8,3,4,5,6,9,2,7]=>01100000=>96
[8,2,3,4,5,1,9,7,6]=>11000110=>198
[1,2,7,4,5,8,3,6]=>0011000=>24
[8,1,9,4,5,6,7,3,2]=>11110000=>240
[7,9,3,4,5,6,1,8,2]=>11100000=>224
[1,9,3,4,5,6,7,10,2,8]=>011000000=>192
[9,2,3,4,5,6,1,10,8,7]=>110000110=>390
[1,2,8,4,5,6,9,3,7]=>00110000=>48
[7,8,3,4,5,2,9,1,6]=>11100000=>224
[8,2,3,4,1,6,9,7,5]=>11001010=>202
[6,7,3,2,5,8,1,4]=>1110000=>112
[8,1,3,9,5,6,7,4,2]=>11011000=>216
[6,1,8,4,5,3,7,2]=>1111000=>120
[7,8,9,4,5,6,3,1,2]=>10110000=>176
[9,1,10,4,5,6,7,8,3,2]=>111100000=>480
[6,9,3,4,5,1,7,8,2]=>11100000=>224
[8,10,3,4,5,6,7,1,9,2]=>111000000=>448
[4,6,2,5,1,8,7,3]=>1110001=>113
[5,1,4,6,2,8,7,3]=>1110001=>113
[7,3,5,2,1,6,8,4]=>1111000=>120
[8,5,1,2,6,3,7,4]=>1011100=>92
[1,5,8,7,4,6,3,2]=>0111001=>57
[5,7,2,1,3,6,8,4]=>1101000=>104
[3,7,2,6,8,1,5,4]=>1101000=>104
[7,4,8,6,5,1,3,2]=>1101110=>110
[2,7,6,8,5,1,4,3]=>1010110=>86
[1,6,4,5,7,3,8,2]=>0111000=>56
[1,5,4,7,8,6,2,3]=>0101010=>42
[7,3,1,6,8,2,5,4]=>1111000=>120
[7,1,6,8,5,2,4,3]=>1110100=>116
[3,5,8,7,6,4,1,2]=>1001011=>75
[1,5,7,8,6,2,4,3]=>0110010=>50
[3,6,2,1,4,7,8,5]=>1100100=>100
[6,8,2,7,5,4,3,1]=>1111100=>124
[5,8,1,7,6,4,3,2]=>1111010=>122
[10,6,1,2,3,4,9,5,7,8]=>100011000=>280
[10,7,1,2,3,4,9,5,6,8]=>100010100=>276
[9,10,1,2,3,4,8,5,6,7]=>100010000=>272
[10,1,5,2,3,4,6,7,8,9]=>110000000=>384
[10,1,2,5,3,4,6,7,8,9]=>101000000=>320
[5,1,2,3,10,4,6,7,8,9]=>100100000=>288
[7,6,1,2,3,4,10,9,5,8]=>100011001=>281
[9,7,1,2,3,4,8,5,10,6]=>100011100=>284
[5,9,1,2,3,4,6,7,10,8]=>100000010=>258
[10,8,4,9,1,2,3,5,6,7]=>100100010=>290
[2,10,1,5,3,4,6,7,8,9]=>101000000=>320
[3,1,5,2,10,4,6,7,8,9]=>110100000=>416
[4,1,2,10,3,5,6,7,8,9]=>101000000=>320
[4,1,5,6,7,8,9,2,3]=>11000000=>192
[2,3,4,5,8,9,1,6,7]=>10000000=>128
[2,3,6,7,1,8,9,4,5]=>10010000=>144
[8,6,3,2,1,5,4,7]=>1111010=>122
[8,5,3,2,4,1,7,6]=>1110110=>118
[7,5,2,4,3,6,8,1]=>1110100=>116
[8,5,1,4,6,3,2,7]=>1110100=>116
[8,5,1,6,3,4,2,7]=>1110100=>116
[8,4,3,6,1,5,2,7]=>1111000=>120
[8,4,3,5,2,1,7,6]=>1111010=>122
[6,4,3,2,8,7,1,5]=>1111001=>121
[8,5,1,4,3,7,2,6]=>1110100=>116
[8,5,4,2,1,3,7,6]=>1101110=>110
[4,7,3,6,1,8,5,2]=>1110100=>116
[7,6,2,4,1,5,8,3]=>1110010=>114
[8,1,6,3,7,4,2,5]=>1111000=>120
[5,3,8,2,6,7,1,4]=>1110000=>112
[8,2,5,1,7,6,3,4]=>1110010=>114
[8,2,4,6,3,7,1,5]=>1110000=>112
[7,2,6,4,3,5,8,1]=>1111000=>120
[7,3,6,2,4,5,8,1]=>1110000=>112
[8,3,7,2,1,4,6,5]=>1110100=>116
[7,6,4,1,3,2,8,5]=>1101110=>110
[7,3,8,2,1,5,6,4]=>1111000=>120
[6,2,5,7,4,3,8,1]=>1111000=>120
[6,2,5,4,8,7,1,3]=>1101001=>105
[7,2,4,8,5,1,6,3]=>1110100=>116
[4,2,7,6,8,5,1,3]=>1100110=>102
[7,1,6,2,8,5,4,3]=>1111100=>124
[7,1,6,3,8,5,2,4]=>1110100=>116
[7,2,6,8,1,3,5,4]=>1101000=>104
[7,2,8,5,1,3,6,4]=>1101100=>108
[7,1,8,5,3,2,6,4]=>1111100=>124
[7,1,8,2,5,6,4,3]=>1111000=>120
[6,1,5,8,7,2,4,3]=>1110001=>113
[6,1,5,7,4,8,3,2]=>1111000=>120
[6,1,5,7,8,3,4,2]=>1110000=>112
[4,6,7,3,1,8,5,2]=>1110100=>116
[4,2,6,3,1,8,7,5]=>1110101=>117
[6,1,4,2,5,8,7,3]=>1110001=>113
[1,5,3,8,4,6,2,7]=>0111000=>56
[7,2,3,5,8,4,1,6]=>1101000=>104
[7,6,4,2,8,5,1,3]=>1101110=>110
[1,7,6,4,8,5,3,2]=>0111110=>62
[8,7,4,2,1,5,6,3]=>1111001=>121
[8,2,3,5,1,4,6,7]=>1100000=>96
[8,7,4,1,3,2,6,5]=>1101101=>109
[7,1,4,8,3,6,2,5]=>1110000=>112
[4,1,8,5,7,6,2,3]=>1100110=>102
[3,7,5,8,4,2,1,6]=>1101100=>108
[6,1,5,8,3,4,2,7]=>1110000=>112
[6,7,5,1,3,2,4,8]=>1100100=>100
[5,2,6,1,7,3,4,8]=>1110000=>112
[4,2,6,8,3,7,1,5]=>1110000=>112
[6,8,5,1,4,2,3,7]=>1100100=>100
[7,8,4,5,1,3,6,2]=>1101000=>104
[1,7,8,5,3,4,6,2]=>0110100=>52
[1,5,8,3,6,4,7,2]=>0111000=>56
[6,3,8,1,4,2,7,5]=>1110100=>116
[4,8,1,5,6,3,7,2]=>1110000=>112
[1,8,2,6,5,3,7,4]=>0111100=>60
[3,8,1,7,2,6,5,4]=>1101100=>108
[7,3,8,1,2,6,5,4]=>1011100=>92
[8,1,4,2,3,5,7,6]=>1100010=>98
[8,1,2,4,6,5,7,3]=>1010100=>84
[5,1,8,3,7,4,6,2]=>1111000=>120
[8,3,7,1,5,4,6,2]=>1111000=>120
[8,4,7,1,5,3,6,2]=>1111000=>120
[7,2,5,3,4,6,1,8]=>1110000=>112
[7,6,4,2,5,3,1,8]=>1111010=>122
[5,8,4,3,6,2,7,1]=>1111000=>120
[1,7,2,6,3,4,8,5]=>0110100=>52
[7,5,1,6,3,2,4,8]=>1110100=>116
[7,1,2,6,3,4,5,8]=>1010000=>80
[7,2,5,1,6,3,4,8]=>1110000=>112
[7,3,1,4,6,2,5,8]=>1110000=>112
[7,1,6,5,4,2,3,8]=>1101100=>108
[5,8,4,3,1,7,2,6]=>1111000=>120
[3,6,8,5,2,4,7,1]=>1100100=>100
[5,7,8,4,3,2,6,1]=>1111000=>120
[1,3,8,4,7,2,6,5]=>0101100=>44
[3,2,1,4,5,8,6,7]=>1100010=>98
[6,7,1,3,2,8,5,4]=>1101100=>108
[1,5,3,2,6,8,4,7]=>0111000=>56
[5,4,3,1,7,2,8,6]=>1111010=>122
[3,7,6,5,8,2,4,1]=>1100110=>102
[5,7,4,2,8,6,1,3]=>1101010=>106
[5,4,3,7,8,2,6,1]=>1111000=>120
[3,8,5,7,6,2,4,1]=>1100110=>102
[1,3,6,8,7,2,5,4]=>0101001=>41
[5,8,7,1,4,2,3,6]=>1100001=>97
[2,6,3,7,1,4,5,8]=>1010000=>80
[6,5,1,2,4,7,8,3]=>1010100=>84
[7,6,8,4,3,1,5,2]=>1111010=>122
[1,7,6,5,3,2,4,8]=>0110110=>54
[2,7,6,5,4,1,3,8]=>1001110=>78
[6,2,3,5,8,4,1,7]=>1101000=>104
[4,7,6,1,5,8,3,2]=>1110010=>114
[9,8,7,6,5,4,2,3,1]=>11011111=>223
[2,3,9,8,7,6,5,4,1]=>10011111=>159
[9,1,3,2,4,5,6,7,8]=>11000000=>192
[6,8,7,1,5,4,3,2]=>1111001=>121
[8,7,4,6,5,1,3,2]=>1101101=>109
[9,8,7,1,6,5,4,3,2]=>11111011=>251
[9,8,7,6,1,5,4,3,2]=>11110111=>247
[9,8,7,6,5,1,4,3,2]=>11101111=>239
[9,10,1,8,7,6,5,4,3,2]=>111111100=>508
[10,9,1,8,7,6,5,4,3,2]=>111111101=>509
[10,9,8,1,7,6,5,4,3,2]=>111111011=>507
[10,9,8,7,1,6,5,4,3,2]=>111110111=>503
[10,9,8,7,6,1,5,4,3,2]=>111101111=>495
[10,9,8,7,6,5,1,4,3,2]=>111011111=>479
[10,9,8,7,6,5,4,1,3,2]=>110111111=>447
[3,5,2,4,7,6,9,8,1]=>11000101=>197
[2,4,3,6,5,8,7,1,9]=>10101010=>170
[3,2,5,4,7,6,9,8,1,10]=>110101010=>426
[2,4,3,6,5,8,7,10,9,1]=>101010101=>341
[7,2,6,1,5,8,3,4]=>1110000=>112
[4,7,3,8,6,2,5,1]=>1110010=>114
[4,7,3,6,8,2,1,5]=>1110000=>112
[5,4,7,3,8,2,1,6]=>1111000=>120
[8,7,2,4,6,3,5,1]=>1110001=>113
[4,3,5,7,2,6,1,8]=>1110000=>112
[1,7,2,8,5,4,3,6]=>0111100=>60
[5,4,8,3,6,2,1,7]=>1111000=>120
[6,8,2,5,7,1,4,3]=>1110000=>112
[3,8,6,2,7,5,1,4]=>1100110=>102
[5,8,4,2,7,3,6,1]=>1111000=>120
[8,2,7,3,4,5,1,6]=>1110000=>112
[8,1,5,2,4,6,3,7]=>1110000=>112
[8,6,1,3,4,5,7,2]=>1100010=>98
[8,5,1,2,4,6,7,3]=>1010100=>84
[2,6,8,7,3,4,5,1]=>1010001=>81
[1,7,8,5,6,4,2,3]=>0101100=>44
[8,3,1,2,4,6,7,5]=>1010100=>84
[3,1,7,5,8,2,4,6]=>1100100=>100
[8,1,3,2,4,6,5,7]=>1100100=>100
[8,1,5,6,4,2,3,7]=>1101000=>104
[8,1,6,5,4,3,2,7]=>1111100=>124
[2,6,8,1,5,4,3,7]=>1011000=>88
[5,2,1,7,6,3,8,4]=>1111010=>122
[3,5,8,2,1,4,7,6]=>1100010=>98
[4,2,8,5,3,7,6,1]=>1110110=>118
[4,2,7,5,3,8,6,1]=>1110110=>118
[6,4,5,1,8,3,2,7]=>1111000=>120
[5,4,7,8,3,1,2,6]=>1011000=>88
[4,5,8,1,3,7,2,6]=>1100000=>96
[1,5,3,6,8,7,2,4]=>0110001=>49
[7,6,2,8,1,4,3,5]=>1110010=>114
[4,7,2,6,8,3,5,1]=>1110000=>112
[6,3,2,8,7,4,5,1]=>1111001=>121
[7,4,3,8,5,6,2,1]=>1111100=>124
[3,1,5,8,7,6,2,4]=>1100011=>99
[8,2,1,6,5,7,3,4]=>1110100=>116
[3,1,8,6,5,7,2,4]=>1100110=>102
[1,2,7,6,4,5,8,3]=>0011010=>26
[7,2,6,5,1,8,3,4]=>1110100=>116
[4,2,8,5,6,3,1,7]=>1110100=>116
[4,7,3,2,5,1,6,8]=>1110000=>112
[4,2,5,3,8,7,1,6]=>1110001=>113
[7,2,5,3,8,4,6,1]=>1111000=>120
[3,6,8,1,7,4,5,2]=>1101000=>104
[8,7,3,2,5,4,6,1]=>1111001=>121
[7,5,6,1,8,3,2,4]=>1110100=>116
[4,5,6,2,7,3,1,8]=>1110000=>112
[5,3,4,7,1,6,2,8]=>1110000=>112
[3,5,1,4,6,8,2,7]=>1100000=>96
[8,5,7,4,2,1,3,6]=>1101100=>108
[2,3,7,4,1,8,6,5]=>1001110=>78
[2,4,5,1,8,6,3,7]=>1010010=>82
[2,4,1,6,7,5,3,8]=>1010100=>84
[6,3,7,1,5,2,4,8]=>1110000=>112
[4,1,3,7,8,2,6,5]=>1100100=>100
[7,1,4,8,6,5,2,3]=>1100110=>102
[8,3,4,2,1,7,5,6]=>1110100=>116
[1,4,5,3,8,6,7,2]=>0110010=>50
[4,6,2,7,5,8,1,3]=>1100100=>100
[7,3,2,5,1,8,4,6]=>1111000=>120
[7,8,1,4,2,3,5,6]=>1100000=>96
[6,5,2,4,8,7,1,3]=>1100101=>101
[8,5,2,4,1,3,7,6]=>1100110=>102
[5,1,2,4,3,6,8,7]=>1010001=>81
[5,2,1,4,3,7,6,8]=>1110010=>114
[8,6,2,7,5,3,1,4]=>1110110=>118
[6,2,1,5,8,3,4,7]=>1110000=>112
[2,3,8,7,1,5,4,6]=>1001001=>73
[4,3,8,1,5,2,6,7]=>1110000=>112
[4,1,3,6,7,2,8,5]=>1100100=>100
[7,1,4,5,8,2,6,3]=>1110000=>112
[6,1,3,2,4,5,8,7]=>1100001=>97
[3,5,1,2,4,7,6,9,8]=>10000101=>133
[7,8,1,6,5,2,4,3]=>1110100=>116
[7,4,8,6,5,1,2,3]=>1001110=>78
[3,7,8,6,5,1,2,4]=>1000110=>70
[8,4,5,7,2,6,3,1]=>1111000=>120
[4,5,8,2,7,3,1,6]=>1110000=>112
[6,5,8,2,7,3,1,4]=>1110100=>116
[6,4,8,2,7,3,1,5]=>1111000=>120
[7,8,1,3,6,4,2,5]=>1101000=>104
[4,3,8,2,7,5,1,6]=>1110100=>116
[4,5,7,8,3,2,1,6]=>1110000=>112
[5,7,3,4,2,6,8,1]=>1110000=>112
[5,7,4,2,3,6,8,1]=>1101000=>104
[5,4,7,3,2,8,1,6]=>1111000=>120
[6,8,3,2,4,5,1,7]=>1110000=>112
[5,8,3,4,6,1,2,7]=>1010000=>80
[6,4,3,8,5,1,2,7]=>1011100=>92
[6,4,8,2,3,5,1,7]=>1101000=>104
[5,4,6,8,2,3,1,7]=>1101000=>104
[5,6,8,4,1,2,3,7]=>1001000=>72
[6,4,8,5,1,2,3,7]=>1001100=>76
[7,4,8,3,1,2,5,6]=>1011000=>88
[5,7,8,2,3,1,4,6]=>1100000=>96
[5,4,7,8,2,1,3,6]=>1101000=>104
[5,8,6,3,1,2,4,7]=>1010010=>82
[6,8,5,2,1,3,4,7]=>1100100=>100
[5,6,1,3,2,4,8,7]=>1100001=>97
[8,1,5,4,6,2,7,3]=>1111000=>120
[4,3,8,1,2,5,7,6]=>1010010=>82
[4,6,3,2,8,5,7,1]=>1110100=>116
[5,3,7,2,1,8,6,4]=>1111010=>122
[7,4,3,2,5,1,8,6]=>1111010=>122
[3,6,8,5,2,1,7,4]=>1101100=>108
[6,1,5,4,7,2,8,3]=>1111000=>120
[1,3,6,5,8,2,7,4]=>0101100=>44
[5,4,8,3,2,7,1,6]=>1111000=>120
[5,4,3,7,2,1,6,8]=>1111000=>120
[5,4,3,7,8,2,1,6]=>1111000=>120
[3,4,5,6,7,8,2,9,1]=>11000000=>192
[3,4,5,6,7,8,9,2,10,1]=>110000000=>384
[1,4,5,6,7,8,3,9,2]=>01100000=>96
[3,4,5,6,7,2,1,9,8]=>11000001=>193
[2,1,5,6,7,8,9,4,3]=>10110000=>176
[2,4,5,6,7,8,3,1,9]=>10100000=>160
[2,4,5,6,7,8,9,10,3,1]=>101000000=>320
[1,4,8,6,3,2,7,5]=>0110110=>54
[4,1,8,6,2,5,7,3]=>1110010=>114
[6,7,2,5,3,8,4,1]=>1111000=>120
[6,3,4,8,1,2,7,5]=>1010100=>84
[6,2,8,1,7,4,5,3]=>1111000=>120
[2,6,3,1,5,8,7,4]=>1011001=>89
[7,1,3,2,6,5,8,4]=>1101100=>108
[8,7,6,4,5,3,2,9,1]=>11110110=>246
[2,9,8,7,5,6,4,3,1]=>10111011=>187
[6,1,3,5,8,7,4,2]=>1101001=>105
[3,5,8,7,4,6,2,1]=>1101001=>105
[6,8,5,7,3,4,2,1]=>1110100=>116
[5,3,6,8,4,2,1,7]=>1111000=>120
[5,1,6,8,4,7,3,2]=>1111000=>120
[6,2,8,3,4,1,5,7]=>1110000=>112
[2,4,1,8,7,6,3,5]=>1010011=>83
[1,3,5,8,4,7,2,6]=>0101000=>40
[2,3,8,7,5,1,6,4]=>1001101=>77
[8,5,4,7,6,1,3,2]=>1101110=>110
[5,8,7,2,4,1,3,6]=>1100001=>97
[4,1,3,5,6,2,8,7]=>1100001=>97
[6,3,8,5,1,7,4,2]=>1111100=>124
[8,2,4,6,1,3,7,5]=>1100100=>100
[6,4,8,7,3,5,2,1]=>1111001=>121
[8,2,3,5,6,1,4,7]=>1100000=>96
[4,3,5,6,8,2,7,1]=>1110000=>112
[8,2,3,4,6,1,7,5]=>1100100=>100
[1,7,4,3,5,2,8,6]=>0111010=>58
[2,7,4,3,8,1,5,6]=>1011000=>88
[3,8,2,7,6,4,1,5]=>1101010=>106
[5,3,6,2,1,8,4,7]=>1111000=>120
[4,3,8,6,2,7,1,5]=>1110010=>114
[8,2,1,4,6,3,7,5]=>1110100=>116
[3,1,6,8,2,7,5,4]=>1101100=>108
[5,3,8,6,7,2,1,4]=>1110010=>114
[5,8,7,2,4,6,1,3]=>1100001=>97
[1,5,2,8,7,6,4,3]=>0111011=>59
[2,7,1,4,6,5,3,8]=>1010100=>84
[4,7,1,2,6,5,8,3]=>1010100=>84
[4,2,5,6,8,7,3,1]=>1110001=>113
[6,5,8,3,7,4,2,1]=>1111100=>124
[8,2,5,1,6,3,7,4]=>1111000=>120
[8,3,4,5,1,6,7,2]=>1110000=>112
[7,8,1,5,6,3,2,4]=>1110000=>112
[1,7,8,3,2,5,4,6]=>0111000=>56
[7,8,1,3,2,5,6,4]=>1101000=>104
[7,8,1,3,5,4,6,2]=>1101000=>104
[7,8,1,3,5,2,4,6]=>1100000=>96
[1,3,7,8,5,2,4,6]=>0100100=>36
[1,7,8,3,5,2,6,4]=>0111000=>56
[1,7,8,3,2,5,6,4]=>0111000=>56
[3,7,8,5,4,6,1,2]=>1001100=>76
[3,5,7,6,4,8,1,2]=>1001010=>74
[1,3,7,8,5,4,6,2]=>0101100=>44
[1,3,7,8,5,4,2,6]=>0101100=>44
[1,3,7,8,2,5,4,6]=>0101000=>40
[1,3,2,7,8,5,4,6]=>0101100=>44
[1,5,7,6,8,3,2,4]=>0110010=>50
[3,5,4,7,8,6,1,2]=>1001010=>74
[3,5,7,6,8,4,1,2]=>1001010=>74
[1,5,7,6,8,3,4,2]=>0110010=>50
[3,5,7,4,6,8,1,2]=>1001000=>72
[6,5,8,4,3,7,1,2]=>1011100=>92
[6,7,3,1,5,2,4,8]=>1110000=>112
[5,2,4,1,8,3,6,7]=>1110000=>112
[2,1,7,4,3,8,5,6]=>1011100=>92
[7,2,3,8,5,4,1,6]=>1101100=>108
[4,1,5,7,6,3,8,2]=>1110010=>114
[3,2,5,4,7,6,1,10,8,9]=>110101010=>426
[3,2,5,4,9,8,6,7,1,10]=>110101010=>426
[3,2,5,4,1,8,6,10,7,9]=>110101100=>428
[3,2,5,4,1,10,9,6,7,8]=>110101001=>425
[3,2,7,6,4,5,9,8,1,10]=>110101010=>426
[3,2,7,6,4,5,1,10,8,9]=>110101010=>426
[3,2,9,6,4,8,5,7,1,10]=>110111000=>440
[3,2,1,6,4,8,5,10,7,9]=>110110100=>436
[3,2,1,6,4,10,9,5,7,8]=>110110001=>433
[3,2,9,8,7,4,5,6,1,10]=>110100110=>422
[3,2,1,8,7,4,5,10,6,9]=>110101100=>428
[3,2,1,10,7,4,9,5,6,8]=>110110100=>436
[3,2,1,10,9,8,4,5,6,7]=>110100011=>419
[5,4,2,3,7,6,9,8,1,10]=>110101010=>426
[5,4,2,3,7,6,1,10,8,9]=>110101010=>426
[5,4,2,3,9,8,6,7,1,10]=>110101010=>426
[5,4,2,3,1,8,6,10,7,9]=>110101100=>428
[5,4,2,3,1,10,9,6,7,8]=>110101001=>425
[7,4,2,6,3,5,9,8,1,10]=>111100010=>482
[7,4,2,6,3,5,1,10,8,9]=>111100010=>482
[9,4,2,6,3,8,5,7,1,10]=>111110000=>496
[1,4,2,6,3,8,5,10,7,9]=>011010100=>212
[1,4,2,6,3,10,9,5,7,8]=>011010001=>209
[9,4,2,8,7,3,5,6,1,10]=>111100100=>484
[1,4,2,8,7,3,5,10,6,9]=>011001100=>204
[1,4,2,10,7,3,9,5,6,8]=>011010100=>212
[1,4,2,10,9,8,3,5,6,7]=>011000011=>195
[7,6,5,2,3,4,9,8,1,10]=>110011010=>410
[7,6,5,2,3,4,1,10,8,9]=>110011010=>410
[9,6,5,2,3,8,4,7,1,10]=>110111000=>440
[1,6,5,2,3,8,4,10,7,9]=>010110100=>180
[1,6,5,2,3,10,9,4,7,8]=>010110001=>177
[9,8,5,2,7,3,4,6,1,10]=>111010010=>466
[1,8,5,2,7,3,4,10,6,9]=>011011000=>216
[1,10,5,2,7,3,9,4,6,8]=>011110000=>240
[1,10,5,2,9,8,3,4,6,7]=>011010010=>210
[9,8,7,6,2,3,4,5,1,10]=>110001110=>398
[1,8,7,6,2,3,4,10,5,9]=>010011100=>156
[1,10,7,6,2,3,9,4,5,8]=>010101100=>172
[1,10,9,6,2,8,3,4,5,7]=>011001001=>201
[1,10,9,8,7,2,3,4,5,6]=>010000111=>135
[1,4,8,2,3,6,5,7]=>0100100=>36
[1,4,6,7,3,5,2,8]=>0110000=>48
[1,4,8,2,6,7,5,3]=>0110100=>52
[1,7,3,2,4,5,6,8]=>0110000=>48
[1,7,3,2,4,5,8,6]=>0110010=>50
[1,6,4,3,2,5,7,8]=>0111000=>56
[4,2,6,5,3,1,7,8]=>1110100=>116
[5,2,1,6,8,7,4,3]=>1111001=>121
[1,3,5,8,6,2,7,4]=>0101010=>42
[2,3,8,4,1,7,6,5]=>1001110=>78
[3,7,8,5,4,2,6,1]=>1101100=>108
[8,3,2,7,5,6,1,4]=>1110100=>116
[1,3,8,5,7,4,2,6]=>0101100=>44
[1,2,3,7,5,4,6,8]=>0001100=>12
[1,4,2,8,6,3,5,7]=>0110010=>50
[2,8,6,3,5,7,4,1]=>1011010=>90
[6,1,8,2,5,3,4,7]=>1110000=>112
[3,8,6,4,2,7,1,5]=>1101010=>106
[1,5,4,2,3,6,8,7]=>0101001=>41
[6,1,5,2,3,4,8,7]=>1100001=>97
[6,5,2,1,7,3,4,8]=>1110100=>116
[3,1,2,4,8,6,7,5]=>1000110=>70
[3,1,2,5,8,7,4,6]=>1001001=>73
[6,5,2,1,8,4,7,3]=>1111100=>124
[5,6,2,4,3,8,1,7]=>1110000=>112
[3,7,5,2,8,1,4,6]=>1100100=>100
[5,1,4,7,3,2,8,6]=>1110010=>114
[4,1,5,8,6,2,3,7]=>1100010=>98
[5,4,8,6,3,7,1,2]=>1011010=>90
[6,5,2,3,1,8,7,4]=>1101101=>109
[6,4,7,5,3,8,1,2]=>1011100=>92
[5,7,4,8,3,1,6,2]=>1111000=>120
[3,1,4,7,5,2,8,6]=>1100110=>102
[4,3,5,1,8,7,2,6]=>1110001=>113
[2,5,3,6,1,8,4,7]=>1011000=>88
[2,5,6,8,3,1,7,4]=>1011000=>88
[7,1,4,5,3,6,2,8]=>1110000=>112
[1,7,2,4,5,3,6,8]=>0110000=>48
[1,7,4,5,3,2,6,8]=>0111000=>56
[1,6,4,7,3,5,2,8]=>0111000=>56
[3,5,6,4,8,2,1,7]=>1101000=>104
[1,6,4,7,5,2,3,8]=>0101100=>44
[1,5,2,6,7,4,3,8]=>0111000=>56
[8,5,6,1,4,3,7,2]=>1110100=>116
[2,5,4,7,8,3,1,6]=>1011000=>88
[6,4,5,8,2,3,1,7]=>1101000=>104
[8,6,1,3,2,5,7,4]=>1101010=>106
[7,5,8,1,4,6,3,2]=>1110100=>116
[4,2,6,7,8,1,5,3]=>1110000=>112
[3,4,6,7,8,1,5,2]=>1100000=>96
[4,7,3,8,5,1,6,2]=>1110100=>116
[4,3,2,7,5,8,1,6]=>1110100=>116
[4,8,5,3,2,6,1,7]=>1110100=>116
[2,8,4,5,3,6,1,7]=>1011000=>88
[8,1,5,3,2,4,7,6]=>1110010=>114
[7,8,4,1,3,6,5,2]=>1101100=>108
[8,6,1,3,2,7,4,5]=>1101010=>106
[7,3,8,2,4,1,6,5]=>1110100=>116
[6,2,3,7,8,1,5,4]=>1101000=>104
[6,3,7,8,1,5,4,2]=>1111000=>120
[2,6,3,7,8,1,5,4]=>1011000=>88
[7,5,8,1,6,4,2,3]=>1101100=>108
[8,1,4,3,7,5,6,2]=>1110100=>116
[1,4,8,5,3,2,6,7]=>0110100=>52
[8,2,7,6,4,1,5,3]=>1111010=>122
[2,7,4,3,8,5,1,6]=>1011100=>92
[6,8,2,7,3,1,5,4]=>1111000=>120
[8,2,6,3,4,1,7,5]=>1110100=>116
[6,1,2,8,5,3,7,4]=>1011100=>92
[4,1,5,8,3,6,7,2]=>1110000=>112
[7,5,2,8,1,6,3,4]=>1110100=>116
[4,8,5,7,1,3,2,6]=>1100100=>100
[3,4,7,2,1,5,8,6]=>1100010=>98
[4,8,2,7,1,3,6,5]=>1100100=>100
[5,2,1,8,7,4,6,3]=>1111001=>121
[8,2,1,7,4,6,3,5]=>1111000=>120
[4,2,5,8,3,6,7,1]=>1110000=>112
[5,1,6,8,3,2,7,4]=>1111000=>120
[4,1,5,6,8,2,7,3]=>1110000=>112
[5,7,8,2,4,1,3,6]=>1100000=>96
[4,5,2,8,7,3,1,6]=>1110001=>113
[4,8,5,3,1,6,7,2]=>1110100=>116
[6,2,3,1,7,8,5,4]=>1101100=>108
[5,2,3,6,8,4,7,1]=>1101000=>104
[6,2,1,7,8,4,3,5]=>1111000=>120
[5,2,1,3,8,4,7,6]=>1101010=>106
[5,2,7,8,4,1,6,3]=>1111000=>120
[6,2,7,8,3,5,4,1]=>1111000=>120
[5,2,8,6,4,1,7,3]=>1111010=>122
[5,1,2,8,4,3,7,6]=>1011010=>90
[6,7,8,3,2,5,4,1]=>1111000=>120
[5,7,2,6,4,8,1,3]=>1101000=>104
[6,2,3,4,7,8,5,1]=>1100100=>100
[7,2,1,8,4,3,5,6]=>1111000=>120
[6,2,1,3,7,5,8,4]=>1101100=>108
[6,8,7,3,4,5,1,2]=>1010001=>81
[6,2,3,7,8,1,4,5]=>1100000=>96
[7,4,3,2,5,8,1,6]=>1111000=>120
[7,2,4,3,5,8,1,6]=>1110000=>112
[1,7,6,4,2,3,5,8]=>0101010=>42
[1,3,2,5,8,6,4,7]=>0101010=>42
[6,1,4,7,2,8,5,3]=>1110100=>116
[1,7,5,8,4,2,3,6]=>0101100=>44
[1,6,7,2,4,8,5,3]=>0110100=>52
[5,7,2,4,3,6,8,1]=>1110000=>112
[5,7,3,4,6,2,8,1]=>1110000=>112
[2,8,3,6,1,7,4,5]=>1011000=>88
[4,3,1,8,5,2,6,7]=>1110100=>116
[1,8,4,5,6,2,7,3]=>0111000=>56
[7,3,8,2,1,4,5,6]=>1110000=>112
[8,2,5,3,1,7,4,6]=>1111000=>120
[6,3,5,8,1,7,4,2]=>1111000=>120
[3,5,4,8,6,1,7,2]=>1101010=>106
[7,5,2,3,8,4,6,1]=>1101100=>108
[2,7,5,1,4,8,3,6]=>1010100=>84
[5,7,6,1,2,8,3,4]=>1010010=>82
[7,4,6,5,1,8,2,3]=>1101100=>108
[7,1,3,2,6,8,4,5]=>1101000=>104
[4,3,5,2,8,1,6,7]=>1110000=>112
[1,7,3,8,2,4,6,5]=>0110100=>52
[2,7,4,8,5,3,1,6]=>1011100=>92
[6,1,3,8,4,2,7,5]=>1101100=>108
[5,4,1,8,6,2,7,3]=>1111010=>122
[5,4,6,8,1,3,2,7]=>1101000=>104
[3,6,1,5,8,4,7,2]=>1101000=>104
[6,4,8,3,5,7,2,1]=>1111000=>120
[3,5,8,2,4,1,7,6]=>1100010=>98
[7,2,8,4,1,3,6,5]=>1101100=>108
[5,8,1,2,4,3,6,7]=>1010000=>80
[8,4,3,5,7,2,6,1]=>1111000=>120
[4,1,5,2,3,8,7,6]=>1100011=>99
[6,3,5,8,2,4,7,1]=>1110000=>112
[2,8,7,1,4,6,3,5]=>1010001=>81
[1,8,5,3,7,4,2,6]=>0111100=>60
[7,5,6,2,8,4,3,1]=>1111100=>124
[5,7,6,2,8,1,4,3]=>1110010=>114
[6,3,8,1,2,5,4,7]=>1011000=>88
[7,6,4,8,5,3,2,1]=>1111110=>126
[7,6,5,3,8,4,2,1]=>1111110=>126
[7,6,5,4,2,8,3,1]=>1111110=>126
[8,6,9,7,5,4,3,2,1]=>11111110=>254
[7,5,4,8,6,3,2,1]=>1111110=>126
[8,7,5,9,6,4,3,2,1]=>11111110=>254
[8,7,6,4,9,5,3,2,1]=>11111110=>254
[7,6,5,3,2,8,4,1]=>1111110=>126
[8,7,6,5,3,9,4,2,1]=>11111110=>254
[8,7,6,5,4,2,9,3,1]=>11111110=>254
[3,2,5,4,7,6,1,10,9,8]=>110101011=>427
[3,2,5,4,9,8,7,6,1,10]=>110101110=>430
[3,2,5,4,1,8,7,10,9,6]=>110101101=>429
[3,2,5,4,1,10,9,8,7,6]=>110101111=>431
[3,2,7,6,5,4,9,8,1,10]=>110111010=>442
[3,2,7,6,5,4,1,10,9,8]=>110111011=>443
[3,2,9,6,5,8,7,4,1,10]=>110111100=>444
[3,2,1,6,5,8,7,10,9,4]=>110110101=>437
[3,2,1,6,5,10,9,8,7,4]=>110110111=>439
[3,2,1,8,7,6,5,10,9,4]=>110111101=>445
[3,2,1,10,7,6,9,8,5,4]=>110111110=>446
[5,4,3,2,7,6,9,8,1,10]=>111101010=>490
[5,4,3,2,7,6,1,10,9,8]=>111101011=>491
[5,4,3,2,9,8,7,6,1,10]=>111101110=>494
[5,4,3,2,1,8,7,10,9,6]=>111101101=>493
[7,4,3,6,5,2,9,8,1,10]=>111110010=>498
[7,4,3,6,5,2,1,10,9,8]=>111110011=>499
[9,4,3,6,5,8,7,2,1,10]=>111110100=>500
[1,4,3,6,5,8,7,10,9,2]=>011010101=>213
[1,4,3,6,5,10,9,8,7,2]=>011010111=>215
[9,4,3,8,7,6,5,2,1,10]=>111111100=>508
[1,4,3,8,7,6,5,10,9,2]=>011011101=>221
[1,4,3,10,7,6,9,8,5,2]=>011011110=>222
[1,4,3,10,9,8,7,6,5,2]=>011011111=>223
[7,6,5,4,3,2,9,8,1,10]=>111111010=>506
[9,6,5,4,3,8,7,2,1,10]=>111111100=>508
[1,6,5,4,3,8,7,10,9,2]=>011110101=>245
[1,6,5,4,3,10,9,8,7,2]=>011110111=>247
[9,8,5,4,7,6,3,2,1,10]=>111111010=>506
[1,8,5,4,7,6,3,10,9,2]=>011111001=>249
[1,10,5,4,7,6,9,8,3,2]=>011111010=>250
[1,10,5,4,9,8,7,6,3,2]=>011111110=>254
[1,10,7,6,5,4,9,8,3,2]=>011111110=>254
[1,10,9,6,5,8,7,4,3,2]=>011111101=>253
[1,5,7,2,4,3,6,8]=>0110000=>48
[1,6,5,3,2,4,7,8]=>0110100=>52
[1,7,2,4,6,5,3,8]=>0110100=>52
[1,4,7,2,6,5,3,8]=>0110100=>52
[1,2,6,8,7,4,3,5]=>0011001=>25
[1,2,7,4,3,5,8,6]=>0011010=>26
[1,6,2,8,7,4,3,5]=>0111001=>57
[1,7,4,2,3,5,8,6]=>0101010=>42
[1,8,5,2,3,6,4,7]=>0101100=>44
[1,7,4,8,5,2,3,6]=>0101100=>44
[1,4,7,5,2,8,6,3]=>0110110=>54
[1,6,3,7,4,2,8,5]=>0111100=>60
[1,8,5,2,7,4,3,6]=>0111100=>60
[1,4,8,7,5,3,2,6]=>0110101=>53
[1,2,5,8,6,3,7,4]=>0011010=>26
[1,2,4,7,5,8,6,3]=>0010110=>22
[1,5,8,7,6,2,4,3]=>0110011=>51
[1,3,5,8,7,6,2,4]=>0100011=>35
[1,5,2,4,3,6,8,7]=>0110001=>49
[1,6,8,7,5,3,2,4]=>0110101=>53
[1,2,5,7,4,3,8,6]=>0011010=>26
[1,5,3,2,6,8,7,4]=>0111001=>57
[1,4,2,6,8,7,5,3]=>0110101=>53
[1,5,8,6,3,2,7,4]=>0111010=>58
[1,8,5,2,6,3,4,7]=>0110100=>52
[1,7,4,6,3,2,8,5]=>0111100=>60
[1,6,3,2,8,5,4,7]=>0111100=>60
[1,3,8,6,4,2,5,7]=>0101010=>42
[1,5,7,4,2,3,8,6]=>0101010=>42
[6,3,7,5,4,2,8,1]=>1111100=>124
[7,5,2,6,3,4,8,1]=>1110100=>116
[3,8,2,7,5,4,1,6]=>1101100=>108
[5,4,8,6,7,1,2,3]=>1001010=>74
[2,7,3,6,8,5,4,1]=>1011100=>92
[3,7,2,8,1,6,4,5]=>1101000=>104
[8,5,2,4,6,7,3,1]=>1110100=>116
[2,5,8,7,1,4,3,6]=>1010001=>81
[3,4,6,5,8,2,7,1]=>1100100=>100
[5,2,4,1,6,7,8,3]=>1110000=>112
[4,2,7,1,6,8,3,5]=>1110000=>112
[5,2,8,6,4,7,1,3]=>1101010=>106
[6,1,3,4,7,2,8,5]=>1100100=>100
[8,4,7,2,5,3,1,6]=>1111000=>120
[8,3,4,5,2,1,7,6]=>1110010=>114
[8,6,1,4,7,3,5,2]=>1110010=>114
[5,3,6,7,2,8,4,1]=>1111000=>120
[5,3,6,7,2,4,8,1]=>1110000=>112
[8,6,4,2,7,1,5,3]=>1111010=>122
[8,6,1,4,7,5,2,3]=>1100110=>102
[1,5,8,2,6,7,4,3]=>0111000=>56
[7,1,3,6,5,2,8,4]=>1101100=>108
[8,2,1,4,5,7,6,3]=>1110010=>114
[1,4,7,5,2,3,8,6]=>0100110=>38
[6,1,7,5,4,2,8,3]=>1111100=>124
[2,7,3,6,5,1,8,4]=>1011100=>92
[8,6,5,1,3,7,4,2]=>1101110=>110
[5,7,6,2,4,8,1,3]=>1100010=>98
[3,7,5,6,4,8,1,2]=>1001100=>76
[7,6,8,1,3,5,4,2]=>1101010=>106
[2,8,4,6,1,7,5,3]=>1011100=>92
[2,8,6,4,7,3,5,1]=>1011010=>90
[8,7,1,4,6,5,3,2]=>1110101=>117
[3,5,8,6,7,1,4,2]=>1100010=>98
[1,2,4,6,8,5,3,7]=>0010100=>20
[3,1,5,8,6,2,4,7]=>1100010=>98
[2,5,4,6,8,1,3,7]=>1001000=>72
[6,5,2,4,7,8,1,3]=>1100100=>100
[7,2,5,8,6,4,1,3]=>1101010=>106
[5,2,8,3,4,7,6,1]=>1110010=>114
[2,4,3,8,7,1,6,5]=>1010101=>85
[1,5,8,7,4,2,6,3]=>0111001=>57
[6,8,7,5,4,3,1,2]=>1011101=>93
[5,6,4,7,3,8,2,9,1]=>11110000=>240
[5,6,4,7,3,9,2,8,1]=>11110000=>240
[5,3,4,8,6,2,7,1]=>1110010=>114
[5,4,6,3,7,2,8,1,9]=>11110000=>240
[6,5,7,4,8,3,9,2,10,1]=>111110000=>496
[6,5,7,4,8,3,10,2,9,1]=>111110000=>496
[3,4,5,8,6,2,7,1]=>1100010=>98
[5,6,4,7,3,8,2,9,1,10]=>111100000=>480
[5,4,2,3,6,1,8,7]=>1101001=>105
[5,1,7,4,3,6,8,2]=>1111000=>120
[4,3,7,6,8,2,1,5]=>1110010=>114
[8,1,4,7,2,3,5,6]=>1100000=>96
[6,1,8,5,2,7,3,4]=>1110100=>116
[8,7,2,6,3,1,4,5]=>1110001=>113
[8,7,1,6,4,5,2,3]=>1101001=>105
[5,4,1,3,7,2,8,6]=>1101010=>106
[8,3,4,7,6,2,1,5]=>1110010=>114
[3,1,8,7,5,2,4,6]=>1100101=>101
[6,5,8,7,2,4,3,1]=>1110101=>117
[4,3,6,5,8,2,1,7]=>1110100=>116
[7,6,3,2,8,5,4,1]=>1111110=>126
[3,2,6,8,7,1,4,5]=>1100001=>97
[4,3,7,1,8,5,2,6]=>1110100=>116
[3,2,8,5,6,7,1,4]=>1100100=>100
[8,3,2,1,4,7,5,6]=>1110100=>116
[4,7,3,1,8,5,2,6]=>1110100=>116
[7,5,1,4,2,3,6,8]=>1100100=>100
[7,8,6,1,2,4,5,3]=>1010010=>82
[1,5,3,4,7,8,6,2]=>0110010=>50
[5,1,7,8,6,2,3,4]=>1100010=>98
[8,5,1,6,7,2,3,4]=>1100100=>100
[1,8,3,6,4,5,7,2]=>0111000=>56
[7,1,6,2,5,3,4,8]=>1110000=>112
[8,1,7,2,5,3,4,6]=>1110000=>112
[8,1,2,7,4,5,6,3]=>1011000=>88
[8,1,6,7,5,2,3,4]=>1100100=>100
[7,1,8,2,5,3,4,6]=>1110000=>112
[5,1,7,2,6,3,4,8]=>1110000=>112
[1,6,3,7,4,5,8,2]=>0111000=>56
[2,4,7,3,5,1,6,8]=>1010000=>80
[2,4,8,6,3,5,1,7]=>1010010=>82
[2,3,7,5,4,1,6,8]=>1001100=>76
[3,4,6,2,1,5,8,7]=>1100001=>97
[3,4,7,2,1,6,5,8]=>1100100=>100
[2,6,8,3,5,1,4,7]=>1010000=>80
[2,3,6,1,5,8,4,7]=>1001000=>72
[2,3,7,1,6,5,8,4]=>1001100=>76
[2,4,7,1,3,6,8,5]=>1000100=>68
[5,4,7,8,1,3,2,6]=>1101000=>104
[2,5,7,1,4,6,3,8]=>1010000=>80
[2,4,7,1,6,3,5,8]=>1010000=>80
[2,3,7,1,6,5,4,8]=>1001100=>76
[2,5,7,1,4,3,6,8]=>1010000=>80
[2,5,7,3,1,4,6,8]=>1010000=>80
[3,4,7,2,1,6,8,5]=>1100100=>100
[4,6,3,7,1,5,2,8]=>1110000=>112
[5,7,3,2,8,1,4,6]=>1110000=>112
[2,6,5,7,1,8,4,3]=>1011100=>92
[3,6,8,5,4,1,7,2]=>1101100=>108
[5,4,7,8,1,3,6,2]=>1101000=>104
[2,5,7,1,4,6,8,3]=>1010000=>80
[2,4,7,1,6,3,8,5]=>1010100=>84
[2,4,7,1,6,8,3,5]=>1010000=>80
[2,4,8,3,1,7,6,5]=>1010110=>86
[1,8,3,4,5,6,7,9,2]=>01100000=>96
[7,2,3,4,5,6,1,9,8]=>11000001=>193
[2,1,9,4,5,6,7,8,3]=>10110000=>176
[2,8,3,4,5,6,7,1,9]=>10100000=>160
[8,6,5,1,2,4,3,7]=>1010110=>86
[7,6,1,4,2,3,5,8]=>1100010=>98
[6,5,1,4,8,3,2,7]=>1110100=>116
[8,7,1,4,3,2,5,6]=>1110001=>113
[8,7,5,1,4,2,3,6]=>1100101=>101
[8,4,1,2,5,3,6,7]=>1011000=>88
[8,7,5,1,4,2,6,3]=>1110101=>117
[8,6,1,4,2,5,3,7]=>1110010=>114
[8,7,1,4,3,2,6,5]=>1110101=>117
[8,7,6,3,1,5,4,2]=>1111011=>123
[2,8,3,7,4,5,6,1]=>1011000=>88
[8,7,5,2,4,3,6,1]=>1110101=>117
[2,9,1,8,7,6,5,4,3]=>10111110=>190
[2,9,8,1,7,6,5,4,3]=>10111101=>189
[4,2,5,7,3,1,6,8]=>1110000=>112
[8,2,4,5,3,1,6,7]=>1110000=>112
[8,4,5,1,3,2,6,7]=>1101000=>104
[4,3,7,5,2,1,6,8]=>1110100=>116
[1,6,7,4,3,2,5,8]=>0111000=>56
[1,4,5,7,3,2,6,8]=>0110000=>48
[3,5,1,4,7,2,6,8]=>1100000=>96
[2,5,1,4,7,8,3,6]=>1010000=>80
[4,3,7,1,5,2,6,8]=>1110000=>112
[3,5,1,6,4,2,7,8]=>1101000=>104
[6,4,3,1,7,2,5,8]=>1111000=>120
[6,2,7,4,3,1,5,8]=>1111000=>120
[2,6,4,1,7,3,5,8]=>1011000=>88
[6,3,2,7,4,5,1,8]=>1111000=>120
[7,2,4,1,3,6,8,5]=>1100100=>100
[6,3,2,5,7,1,4,8]=>1110000=>112
[3,2,6,5,7,1,4,8]=>1100100=>100
[1,7,3,2,5,6,4,8]=>0111000=>56
[2,1,7,3,5,6,8,4]=>1011000=>88
[2,1,6,3,5,7,8,4]=>1011000=>88
[1,6,3,2,5,7,4,8]=>0111000=>56
[1,4,6,5,2,7,3,8]=>0110100=>52
[5,6,2,1,4,3,7,8]=>1110000=>112
[2,5,1,6,4,3,7,8]=>1011000=>88
[2,5,4,1,6,3,7,8]=>1011000=>88
[4,6,1,5,2,7,3,8]=>1110000=>112
[1,6,5,3,7,2,4,8]=>0110100=>52
[1,2,5,4,7,3,6,8]=>0011000=>24
[1,2,5,3,4,8,7,6]=>0010011=>19
[5,2,7,6,1,8,4,3]=>1111010=>122
[5,8,2,6,1,7,4,3]=>1111000=>120
[1,7,8,2,4,6,5,3]=>0110100=>52
[1,5,8,3,6,2,7,4]=>0111000=>56
[6,8,7,1,4,5,2,3]=>1100001=>97
[1,2,6,4,7,3,8,5]=>0011100=>28
[1,2,7,8,3,5,6,4]=>0011000=>24
[4,8,7,6,2,1,5,3]=>1110011=>115
[2,7,4,5,8,1,6,3]=>1011000=>88
[2,6,1,8,5,4,3,7]=>1011100=>92
[5,8,6,2,3,4,1,7]=>1100010=>98
[5,8,6,2,1,4,3,7]=>1110010=>114
[4,5,8,6,2,1,3,7]=>1100010=>98
[6,4,7,5,8,2,1,3]=>1101100=>108
[6,3,7,4,2,5,8,1]=>1111000=>120
[6,2,1,5,8,4,3,7]=>1111000=>120
[7,5,6,2,4,3,8,1]=>1110100=>116
[4,6,2,5,7,3,8,1]=>1110000=>112
[4,2,8,5,3,6,1,7]=>1110100=>116
[8,1,7,4,5,6,2,3]=>1101000=>104
[2,1,7,8,4,5,6,3]=>1011000=>88
[8,2,1,4,3,7,6,5]=>1110110=>118
[7,6,5,3,1,2,8,4]=>1011110=>94
[5,4,1,6,2,8,3,7]=>1111000=>120
[6,2,3,1,7,8,4,5]=>1101000=>104
[3,1,8,6,7,2,4,5]=>1100010=>98
[4,2,5,1,8,6,7,3]=>1110010=>114
[4,5,3,7,1,6,8,2]=>1110000=>112
[4,2,8,5,3,6,7,1]=>1110100=>116
[2,8,6,3,5,4,7,1]=>1011010=>90
[3,5,2,8,6,4,7,1]=>1101010=>106
[7,3,5,1,6,4,8,2]=>1111000=>120
[5,1,4,7,2,6,8,3]=>1110000=>112
[1,8,2,5,6,4,7,3]=>0111000=>56
[2,7,1,4,8,5,6,3]=>1010100=>84
[2,8,4,6,1,3,7,5]=>1001100=>76
[8,4,6,2,5,3,7,1]=>1111000=>120
[8,3,7,6,2,1,5,4]=>1111010=>122
[8,5,2,7,6,1,4,3]=>1110110=>118
[5,8,2,7,6,1,4,3]=>1110010=>114
[8,3,7,6,2,5,1,4]=>1110010=>114
[7,3,8,6,5,1,4,2]=>1110110=>118
[9,8,7,6,1,2,3,4,5,10]=>100001110=>270
[2,6,3,7,5,4,8,1]=>1011100=>92
[5,4,7,1,3,8,6,2]=>1101010=>106
[2,8,5,1,4,7,3,6]=>1010100=>84
[8,1,4,2,5,7,3,6]=>1110000=>112
[7,2,6,5,8,4,3,1]=>1111100=>124
[3,4,8,5,6,2,7,1]=>1100100=>100
[5,8,2,3,4,6,1,7]=>1100000=>96
[6,1,3,4,2,5,7,8]=>1100000=>96
[1,5,6,3,2,4,7,8]=>0110000=>48
[6,3,5,2,4,1,7,8]=>1110000=>112
[7,8,3,5,2,4,6,1]=>1110000=>112
[2,4,5,7,3,6,1,8]=>1010000=>80
[2,5,3,1,6,4,7,8]=>1011000=>88
[6,5,1,3,4,2,7,8]=>1100100=>100
[5,7,4,3,2,6,1,8]=>1111000=>120
[6,8,7,4,3,5,1,2]=>1011001=>89
[2,6,7,8,4,3,5,1]=>1011000=>88
[1,7,8,4,5,3,6,2]=>0111000=>56
[7,1,8,5,3,4,6,2]=>1110100=>116
[5,7,4,2,1,6,3,8]=>1111000=>120
[5,1,4,7,3,6,2,8]=>1110000=>112
[7,4,8,6,3,5,2,1]=>1111010=>122
[4,7,6,3,5,2,1,8]=>1110010=>114
[1,6,5,8,7,4,2,3]=>0101101=>45
[6,1,3,8,7,5,2,4]=>1100101=>101
[7,6,2,1,8,3,5,4]=>1111010=>122
[7,1,3,6,8,2,5,4]=>1101000=>104
[1,7,5,6,8,2,4,3]=>0110100=>52
[3,6,7,5,8,2,4,1]=>1100100=>100
[1,7,4,5,2,8,6,3]=>0111010=>58
[7,5,4,2,1,8,6,3]=>1111110=>126
[3,6,7,4,2,8,5,1]=>1101100=>108
[4,6,3,2,7,8,5,1]=>1110100=>116
[7,6,1,3,4,2,5,8]=>1100010=>98
[7,8,2,6,4,5,3,1]=>1111000=>120
[7,2,5,4,6,1,3,8]=>1101000=>104
[7,1,2,4,5,6,3,8]=>1010000=>80
[7,3,2,1,5,6,4,8]=>1111000=>120
[3,6,2,1,7,5,4,8]=>1101100=>108
[2,6,7,3,1,5,4,8]=>1011000=>88
[2,1,6,4,7,5,3,8]=>1011100=>92
[7,2,8,5,6,4,3,1]=>1111100=>124
[7,6,8,5,4,1,3,2]=>1101110=>110
[7,1,8,4,6,5,3,2]=>1111100=>124
[7,8,6,3,1,5,4,2]=>1111010=>122
[7,6,1,4,5,3,2,8]=>1110010=>114
[7,1,5,6,4,3,2,8]=>1111000=>120
[4,1,3,8,6,2,7,5]=>1100110=>102
[5,1,2,8,4,6,7,3]=>1011000=>88
[5,6,3,2,8,1,7,4]=>1111000=>120
[8,2,6,3,1,5,7,4]=>1111000=>120
[8,2,5,6,7,4,3,1]=>1111000=>120
[8,2,5,3,4,7,6,1]=>1110010=>114
[7,5,3,2,4,1,8,6]=>1110110=>118
[7,1,2,3,6,8,4,5]=>1001000=>72
[6,7,2,8,3,4,5,1]=>1110000=>112
[3,1,8,4,6,5,7,2]=>1101100=>108
[6,1,2,3,8,4,7,5]=>1001100=>76
[8,1,6,7,4,2,3,5]=>1101000=>104
[8,1,6,4,5,2,3,7]=>1101000=>104
[8,6,4,7,2,3,5,1]=>1101010=>106
[8,6,4,1,2,3,7,5]=>1001110=>78
[8,6,1,4,2,5,7,3]=>1110010=>114
[8,6,7,4,2,5,1,3]=>1101010=>106
[8,6,4,2,5,3,7,1]=>1111010=>122
[8,6,4,2,5,3,1,7]=>1111010=>122
[8,6,4,2,7,3,1,5]=>1111010=>122
[8,6,4,1,5,7,2,3]=>1101010=>106
[8,6,4,2,1,5,7,3]=>1111010=>122
[8,6,4,2,1,7,3,5]=>1111010=>122
[8,6,1,4,7,2,5,3]=>1110010=>114
[8,6,4,1,5,2,3,7]=>1101010=>106
[8,6,7,1,4,5,2,3]=>1100010=>98
[8,6,4,5,2,7,3,1]=>1111010=>122
[8,6,7,4,2,1,5,3]=>1111010=>122
[8,6,4,7,2,1,5,3]=>1111010=>122
[8,6,4,2,5,7,3,1]=>1111010=>122
[8,6,4,2,5,1,7,3]=>1111010=>122
[8,6,4,2,5,7,1,3]=>1101010=>106
[3,4,7,5,8,2,6,1]=>1100100=>100
[8,7,1,4,6,5,2,3]=>1100101=>101
[8,3,7,6,4,5,1,2]=>1011010=>90
[5,3,8,6,4,1,7,2]=>1111010=>122
[8,10,1,2,3,4,5,9,6,7]=>100001000=>264
[10,8,1,9,2,3,4,5,6,7]=>110000010=>386
[8,7,1,2,3,4,5,9,10,6]=>100001100=>268
[6,1,2,3,4,5,7,8,9]=>10000000=>128
[5,1,2,3,4,6,7,8,9]=>10000000=>128
[4,1,2,3,5,6,7,8,9]=>10000000=>128
[2,10,1,5,6,7,8,9,3,4]=>101000000=>320
[7,4,5,1,2,8,6,3]=>1011010=>90
[6,4,7,1,8,5,2,3]=>1101100=>108
[5,7,4,2,3,8,6,1]=>1101010=>106
[3,8,2,5,1,7,4,6]=>1101000=>104
[5,8,4,2,3,7,1,6]=>1101000=>104
[4,8,5,2,1,7,3,6]=>1110100=>116
[8,5,7,6,1,2,4,3]=>1010110=>86
[6,8,7,5,2,4,1,3]=>1100101=>101
[5,7,6,8,4,1,3,2]=>1101010=>106
[7,3,1,6,8,5,4,2]=>1111100=>124
[5,3,1,7,4,8,6,2]=>1111010=>122
[7,3,1,8,6,4,5,2]=>1111010=>122
[8,6,4,1,7,3,2,5]=>1111010=>122
[4,6,8,3,7,1,2,5]=>1010000=>80
[3,5,2,8,4,7,1,6]=>1101000=>104
[6,4,8,3,7,2,1,5]=>1111000=>120
[3,6,2,8,7,4,1,5]=>1101001=>105
[6,8,4,2,7,3,1,5]=>1111000=>120
[9,8,2,3,4,5,6,7,1]=>11000001=>193
[8,9,2,3,4,5,6,7,1]=>11000000=>192
[9,8,7,6,4,5,3,2,1]=>11110111=>247
[5,6,7,9,8,4,3,2,1]=>11110001=>241
[5,6,7,8,9,1,4,3,2]=>11100000=>224
[10,9,2,3,4,5,6,7,8,1]=>110000001=>385
[3,4,7,8,5,1,2,6]=>1000100=>68
[4,7,3,2,5,6,8,1]=>1110000=>112
[3,2,7,6,4,5,8,1]=>1101010=>106
[1,7,3,6,8,4,2,5]=>0111000=>56
[2,3,6,5,1,8,7,4]=>1001101=>77
[8,3,1,2,6,4,7,5]=>1011100=>92
[1,7,8,2,4,3,5,6]=>0110000=>48
[3,6,4,7,1,2,8,5]=>1001100=>76
[5,7,4,8,1,3,2,6]=>1101000=>104
[4,3,7,8,1,5,2,6]=>1110000=>112
[8,5,4,2,6,1,7,3]=>1111100=>124
[3,2,6,8,7,4,1,5]=>1101001=>105
[2,3,7,5,1,8,6,4]=>1001110=>78
[6,3,1,2,8,7,4,5]=>1011001=>89
[5,2,1,3,8,7,6,4]=>1101011=>107
[7,2,1,5,3,8,4,6]=>1111000=>120
[1,5,8,2,4,3,6,7]=>0110000=>48
[4,3,6,8,1,5,2,7]=>1110000=>112
[5,4,6,8,3,1,7,2]=>1111000=>120
[3,6,8,4,5,1,7,2]=>1101000=>104
[8,6,1,7,2,4,3,5]=>1110010=>114
[7,3,1,2,8,6,4,5]=>1011010=>90
[2,3,7,6,1,8,5,4]=>1001110=>78
[3,2,7,8,6,4,1,5]=>1101010=>106
[6,2,8,3,1,4,7,5]=>1110100=>116
[3,1,2,8,7,4,5,6]=>1001001=>73
[2,1,3,8,7,4,6,5]=>1001101=>77
[2,1,3,8,7,4,5,6]=>1001001=>73
[1,6,8,3,2,4,7,5]=>0110100=>52
[8,5,1,7,2,4,3,6]=>1110100=>116
[8,4,1,7,3,2,5,6]=>1111000=>120
[8,3,1,6,2,7,5,4]=>1111100=>124
[1,3,2,8,7,6,4,5]=>0101011=>43
[2,1,3,8,7,6,4,5]=>1001011=>75
[2,4,3,1,6,5,8,7,10,9]=>101010101=>341
[1,6,3,7,2,5,4,8]=>0111000=>56
[1,7,2,4,6,3,5,8]=>0110000=>48
[5,7,2,8,4,1,3,6]=>1101000=>104
[2,4,8,3,1,6,7,5]=>1010100=>84
[3,5,8,4,2,1,6,7]=>1101000=>104
[2,5,8,3,1,4,6,7]=>1010000=>80
[2,8,1,3,5,7,4,6]=>1001000=>72
[5,4,7,8,3,2,6,1]=>1111000=>120
[3,4,8,5,7,1,2,6]=>1000100=>68
[3,6,8,2,5,1,4,7]=>1100000=>96
[3,6,8,7,2,5,4,1]=>1101001=>105
[3,4,6,5,8,2,1,7]=>1100100=>100
[2,4,6,7,8,3,5,1]=>1010000=>80
[1,4,2,5,7,6,3,8]=>0110010=>50
[1,4,2,6,8,5,3,7]=>0110100=>52
[1,2,6,8,3,5,4,7]=>0011000=>24
[1,6,8,3,5,4,2,7]=>0111000=>56
[1,5,3,2,4,6,8,7]=>0110001=>49
[1,5,8,7,6,3,2,4]=>0110011=>51
[1,5,7,6,3,2,4,8]=>0110010=>50
[1,6,3,2,4,7,5,8]=>0110100=>52
[1,6,3,2,4,8,7,5]=>0110101=>53
[1,2,7,6,4,3,5,8]=>0011010=>26
[1,8,7,5,2,4,6,3]=>0110101=>53
[1,7,5,2,4,6,3,8]=>0110100=>52
[1,7,4,2,5,3,6,8]=>0111000=>56
[1,8,4,7,5,2,6,3]=>0111100=>60
[1,7,5,2,3,6,4,8]=>0101100=>44
[1,7,5,2,6,3,4,8]=>0110100=>52
[1,6,3,7,4,2,5,8]=>0111000=>56
[1,6,3,2,7,5,4,8]=>0111100=>60
[1,4,7,5,2,6,3,8]=>0110100=>52
[1,3,6,4,8,7,5,2]=>0101101=>45
[1,3,7,6,4,2,5,8]=>0101010=>42
[1,3,2,4,8,5,7,6]=>0100110=>38
[1,3,8,7,5,2,4,6]=>0100101=>37
[1,4,6,3,2,7,5,8]=>0110100=>52
[1,4,6,3,2,8,7,5]=>0110101=>53
[1,5,7,6,4,2,3,8]=>0101010=>42
[1,6,3,2,8,4,7,5]=>0111100=>60
[1,6,3,5,2,7,4,8]=>0111000=>56
[1,6,3,5,2,8,7,4]=>0111001=>57
[1,8,3,7,5,2,4,6]=>0110100=>52
[7,8,4,9,5,2,10,6,3,1]=>111111000=>504
[6,4,7,1,5,3,8,2]=>1111000=>120
[5,3,8,2,6,4,7,1]=>1111000=>120
[4,3,8,2,6,5,7,1]=>1110100=>116
[2,6,1,8,3,4,7,5]=>1010100=>84
[5,7,1,4,8,2,3,6]=>1100000=>96
[6,5,7,1,4,3,8,2]=>1110100=>116
[4,8,3,5,7,6,1,2]=>1010010=>82
[5,7,6,1,2,4,8,3]=>1010010=>82
[4,8,3,5,7,6,2,1]=>1110010=>114
[1,3,4,2,8,5,7,6]=>0100110=>38
[5,7,6,2,4,8,3,1]=>1110010=>114
[6,7,5,2,3,8,4,1]=>1101100=>108
[6,7,5,3,8,4,2,1]=>1111100=>124
[3,2,1,4,8,5,7,6]=>1100110=>102
[7,3,1,4,2,6,5,8]=>1110100=>116
[7,4,1,6,2,5,3,8]=>1111000=>120
[5,4,1,8,2,6,3,7]=>1111000=>120
[5,3,1,8,2,6,4,7]=>1111000=>120
[4,7,1,5,2,6,3,8]=>1110000=>112
[6,5,1,4,2,7,3,8]=>1110100=>116
[1,8,7,3,4,5,2,6]=>0110001=>49
[1,8,9,3,4,5,6,7,2]=>01100000=>96
[1,8,7,4,5,2,3,6]=>0101001=>41
[1,2,6,8,7,3,4,5]=>0010001=>17
[1,3,7,8,4,5,6,2]=>0101000=>40
[8,4,2,3,1,6,5,7]=>1101100=>108
[4,8,6,2,3,1,7,5]=>1100110=>102
[6,4,2,1,8,5,3,7]=>1111100=>124
[4,2,6,1,5,8,3,7]=>1110000=>112
[6,4,2,3,5,8,1,7]=>1101000=>104
[2,8,6,4,5,1,7,3]=>1011010=>90
[8,2,4,6,7,1,5,3]=>1110000=>112
[2,6,3,1,7,4,8,5]=>1011100=>92
[6,5,1,8,3,2,7,4]=>1111100=>124
[1,4,3,7,2,8,6,5]=>0110110=>54
[1,8,7,4,5,3,2,6]=>0111001=>57
[2,8,3,1,4,5,7,6]=>1010010=>82
[6,1,7,2,8,4,5,3]=>1111000=>120
[8,3,2,1,5,6,7,4]=>1111000=>120
[3,2,6,7,8,4,5,1]=>1101000=>104
[1,7,4,6,3,8,2,5]=>0111000=>56
[5,6,4,1,3,8,2,7]=>1101000=>104
[4,5,3,1,8,7,6,2]=>1110011=>115
[6,3,4,2,7,8,5,1]=>1110100=>116
[8,7,4,5,1,6,3,2]=>1111001=>121
[6,2,7,8,1,3,5,4]=>1101000=>104
[5,1,8,4,3,7,2,6]=>1111000=>120
[7,2,8,1,4,5,6,3]=>1110000=>112
[1,4,8,2,5,6,7,3]=>0110000=>48
[2,1,4,3,6,5,8,10,9,7]=>101010101=>341
[2,1,4,3,6,8,7,5,10,9]=>101010101=>341
[2,1,4,3,8,10,7,9,5,6]=>101010100=>340
[2,1,4,3,6,7,10,8,9,5]=>101010010=>338
[2,1,4,6,5,3,8,7,10,9]=>101010101=>341
[2,1,4,6,5,3,8,10,9,7]=>101010101=>341
[2,1,6,8,5,7,3,4,10,9]=>101010001=>337
[2,1,8,7,5,10,4,9,3,6]=>101110100=>372
[2,1,6,7,5,10,8,4,9,3]=>101110010=>370
[2,1,4,5,8,6,7,3,10,9]=>101001001=>329
[2,1,8,5,10,6,7,9,3,4]=>101011000=>344
[2,1,4,7,10,6,9,8,3,5]=>101001010=>330
[2,1,4,5,6,10,7,8,9,3]=>101000100=>324
[2,4,3,1,6,5,8,10,9,7]=>101010101=>341
[2,4,3,1,6,8,7,5,10,9]=>101010101=>341
[2,4,3,1,8,10,7,9,5,6]=>101010100=>340
[2,4,3,1,6,7,10,8,9,5]=>101010010=>338
[4,6,3,5,1,2,8,7,10,9]=>101000101=>325
[4,6,3,5,1,2,8,10,9,7]=>101000101=>325
[6,5,3,8,2,7,1,4,10,9]=>111010001=>465
[8,5,3,7,2,10,4,9,1,6]=>111110000=>496
[6,5,3,7,2,10,8,4,9,1]=>111110010=>498
[4,5,3,8,6,2,7,1,10,9]=>111001001=>457
[8,6,3,5,10,2,7,9,1,4]=>111001000=>456
[4,7,3,6,10,1,9,8,2,5]=>111000010=>450
[4,5,3,6,10,7,1,8,9,2]=>111000100=>452
[2,3,6,4,5,1,8,7,10,9]=>100100101=>293
[2,3,6,4,5,1,8,10,9,7]=>100100101=>293
[6,3,8,4,5,7,1,2,10,9]=>101100001=>353
[8,3,7,4,5,10,2,9,1,6]=>111100000=>480
[6,3,7,4,5,10,8,2,9,1]=>111100010=>482
[2,5,8,4,7,6,1,3,10,9]=>100101001=>297
[8,5,10,4,7,6,2,9,1,3]=>110111000=>440
[2,7,10,4,8,6,9,5,1,3]=>100111000=>312
[2,5,6,4,10,8,7,3,9,1]=>101100110=>358
[2,3,4,8,5,6,7,1,10,9]=>100010001=>273
[8,3,4,10,5,6,7,9,1,2]=>101010000=>336
[2,7,4,10,5,6,9,8,1,3]=>100110010=>306
[2,3,6,10,5,9,7,8,1,4]=>100010100=>276
[2,3,4,5,10,6,7,8,9,1]=>100001000=>264
[8,1,6,7,2,5,4,3]=>1111000=>120
[7,5,2,3,6,8,4,1]=>1101100=>108
[8,1,4,6,5,3,2,7]=>1110100=>116
[8,1,4,7,6,5,2,3]=>1100110=>102
[8,1,2,7,6,5,4,3]=>1011110=>94
[4,5,8,1,6,7,2,3]=>1100000=>96
[3,2,8,6,1,5,7,4]=>1101010=>106
[3,7,2,5,8,4,6,1]=>1101000=>104
[6,7,8,4,1,5,2,3]=>1101000=>104
[6,2,8,3,5,1,4,7]=>1110000=>112
[6,2,7,4,5,3,1,8]=>1111000=>120
[6,8,2,5,3,4,1,7]=>1110000=>112
[6,8,7,5,4,1,2,3]=>1001101=>77
[7,4,5,6,1,8,2,3]=>1101000=>104
[6,3,5,2,8,1,7,4]=>1111000=>120
[6,1,8,7,4,5,2,3]=>1101001=>105
[4,8,7,1,6,3,2,5]=>1110001=>113
[4,8,2,7,5,3,6,1]=>1110100=>116
[1,3,2,6,8,7,4,5]=>0101001=>41
[1,3,8,2,5,4,6,7]=>0101000=>40
[1,6,2,5,8,7,3,4]=>0110001=>49
[1,6,8,7,2,3,5,4]=>0101001=>41
[1,6,8,7,2,5,3,4]=>0110001=>49
[1,5,2,4,8,3,6,7]=>0110000=>48
[1,2,4,5,8,6,3,7]=>0010010=>18
[1,2,8,3,5,4,7,6]=>0011010=>26
[1,3,8,2,5,4,7,6]=>0101010=>42
[1,6,7,5,2,4,8,3]=>0110100=>52
[1,5,6,4,7,2,3,8]=>0101000=>40
[1,7,4,2,5,8,3,6]=>0111000=>56
[1,6,4,3,7,5,2,8]=>0111100=>60
[1,6,5,4,7,2,3,8]=>0101100=>44
[1,7,3,2,6,4,8,5]=>0111100=>60
[1,5,8,2,3,6,7,4]=>0101000=>40
[1,3,2,6,8,5,4,7]=>0101100=>44
[1,6,3,2,7,4,5,8]=>0111000=>56
[1,7,8,5,4,2,3,6]=>0101100=>44
[1,8,4,2,3,6,5,7]=>0101100=>44
[1,4,2,7,5,3,8,6]=>0110110=>54
[1,5,7,6,2,4,3,8]=>0110010=>50
[1,8,4,7,3,2,6,5]=>0111100=>60
[1,3,8,4,2,6,5,7]=>0101100=>44
[1,7,4,2,6,5,8,3]=>0111100=>60
[1,6,5,8,3,7,4,2]=>0111100=>60
[1,7,4,8,3,2,5,6]=>0111000=>56
[1,4,8,3,2,7,5,6]=>0110100=>52
[1,8,3,6,4,5,2,7]=>0111000=>56
[1,6,4,7,3,2,8,5]=>0111100=>60
[8,2,3,7,4,5,6,1]=>1101000=>104
[8,5,7,2,3,6,4,1]=>1101100=>108
[7,5,2,1,6,8,3,4]=>1110100=>116
[7,6,1,5,4,8,2,3]=>1101010=>106
[7,6,3,2,1,8,4,5]=>1111010=>122
[2,8,7,3,4,6,1,5]=>1010001=>81
[6,5,1,3,7,2,8,4]=>1101100=>108
[8,1,7,3,4,5,2,6]=>1110000=>112
[7,1,8,3,4,5,2,6]=>1110000=>112
[6,8,7,3,4,2,1,5]=>1110001=>113
[3,8,7,1,2,4,5,6]=>1000001=>65
[1,8,5,3,4,6,2,7]=>0110100=>52
[7,1,6,5,4,3,8,2]=>1111100=>124
[7,1,3,6,4,5,8,2]=>1101000=>104
[7,1,5,3,6,4,8,2]=>1111000=>120
[6,1,5,3,7,8,2,4]=>1110000=>112
[5,8,7,1,2,6,3,4]=>1010001=>81
[6,8,2,3,4,7,1,5]=>1100000=>96
[5,1,7,3,8,6,2,4]=>1110010=>114
[6,1,3,2,4,7,8,5]=>1100100=>100
[6,2,1,3,4,7,8,5]=>1100100=>100
[3,4,5,6,1,8,9,2,7]=>11000000=>192
[3,4,5,6,8,1,9,2,7]=>11000000=>192
[3,4,5,6,8,9,1,2,7]=>10000000=>128
[2,4,5,1,6,7,8,9,3]=>10100000=>160
[2,3,4,1,6,7,8,9,5]=>10001000=>136
[2,3,4,5,6,1,8,9,10,7]=>100000100=>260
[3,4,5,6,1,2,9,7,8]=>10000010=>130
[3,4,5,6,8,1,2,7,9]=>10000000=>128
[2,3,4,5,6,8,9,1,10,7]=>100000100=>260
[3,4,5,1,6,7,8,2,9]=>11000000=>192
[5,6,1,7,8,9,2,3,4]=>11000000=>192
[4,5,6,1,7,8,9,10,2,3]=>110000000=>384
[1,3,5,2,6,7,8,9,4]=>01010000=>80
[3,5,6,1,7,8,9,10,2,4]=>110000000=>384
[2,1,4,3,6,7,8,9,5]=>10101000=>168
[3,4,6,1,7,8,9,10,2,5]=>110000000=>384
[2,3,1,5,6,7,8,9,4]=>10010000=>144
[3,4,5,1,7,8,9,10,2,6]=>110000000=>384
[3,2,5,8,7,4,1,6]=>1101001=>105
[4,2,5,8,7,3,1,6]=>1110001=>113
[8,3,4,1,6,5,2,7]=>1110100=>116
[3,4,8,5,7,2,1,6]=>1100100=>100
[3,6,4,8,5,7,2,1]=>1101100=>108
[5,8,4,7,3,6,2,1]=>1111000=>120
[4,2,8,7,3,1,6,5]=>1110101=>117
[6,5,8,2,1,7,4,3]=>1111100=>124
[6,1,4,3,8,7,2,5]=>1110001=>113
[5,1,3,2,6,8,7,4]=>1101001=>105
[6,1,3,8,7,2,4,5]=>1100001=>97
[1,2,8,4,5,7,3,6]=>0011000=>24
[4,2,1,8,7,6,3,5]=>1110011=>115
[3,2,5,8,7,1,4,6]=>1100001=>97
[5,6,3,8,7,2,1,4]=>1110001=>113
[2,5,8,4,7,1,6,3]=>1011000=>88
[1,6,2,4,8,5,7,3]=>0110100=>52
[3,1,6,5,8,7,2,4]=>1100101=>101
[4,8,5,3,6,7,1,2]=>1010100=>84
[1,8,5,3,4,7,6,2]=>0110110=>54
[2,7,1,3,6,4,5,8]=>1001000=>72
[8,1,7,3,5,4,6,2]=>1111000=>120
[1,8,6,3,2,5,4,7]=>0111010=>58
[3,2,4,8,5,7,1,6]=>1100100=>100
[8,1,2,4,7,5,6,3]=>1010100=>84
[6,4,5,8,3,1,7,2]=>1111000=>120
[8,6,2,1,5,7,3,4]=>1110010=>114
[4,6,2,8,5,3,7,1]=>1110100=>116
[8,7,2,4,1,5,3,6]=>1110001=>113
[7,5,3,4,8,6,2,1]=>1110110=>118
[2,8,3,1,4,6,7,5]=>1010100=>84
[4,3,6,5,1,2,7,8]=>1010100=>84
[5,8,3,7,6,4,2,1]=>1111010=>122
[1,3,8,7,6,5,2,4]=>0100111=>39
[4,8,7,2,6,3,1,5]=>1110001=>113
[1,8,7,2,6,3,5,4]=>0111001=>57
[8,7,2,1,4,3,5,6]=>1110001=>113
[2,8,7,1,6,3,4,5]=>1010001=>81
[4,2,8,7,6,5,1,3]=>1100111=>103
[8,4,2,7,6,5,3,1]=>1111110=>126
[6,8,7,5,2,4,3,1]=>1110101=>117
[1,2,5,7,4,8,6,3]=>0011010=>26
[6,2,1,8,7,5,3,4]=>1110101=>117
[6,3,8,7,4,5,2,1]=>1111001=>121
[2,8,3,4,1,5,6,7]=>1010000=>80
[1,3,7,5,4,8,6,2]=>0101110=>46
[4,5,6,3,1,8,2,7]=>1110000=>112
[5,2,1,4,3,6,8,7]=>1110001=>113
[1,5,6,3,8,4,2,7]=>0111000=>56
[2,6,5,3,8,4,1,7]=>1011100=>92
[5,7,3,8,4,2,6,1]=>1111000=>120
[5,3,6,2,8,4,1,7]=>1111000=>120
[2,3,6,5,4,8,1,7]=>1001100=>76
[3,7,5,4,8,2,6,1]=>1101100=>108
[5,3,7,1,2,8,4,6]=>1011000=>88
[6,3,8,7,2,5,4,1]=>1111001=>121
[2,8,7,6,1,5,3,4]=>1010011=>83
[9,7,8,5,4,3,2,1,6]=>11111010=>250
[1,2,3,4,6,5,7,8,9]=>00001000=>8
[1,2,3,5,4,6,7,8,9]=>00010000=>16
[6,8,4,1,7,5,2,3]=>1101100=>108
[8,1,4,6,7,5,2,3]=>1100100=>100
[2,6,8,1,4,7,5,3]=>1010100=>84
[6,4,8,1,2,7,5,3]=>1011100=>92
[8,1,4,6,7,2,5,3]=>1110000=>112
[8,2,1,6,7,4,5,3]=>1111000=>120
[8,2,6,1,7,4,5,3]=>1111000=>120
[4,2,8,1,6,7,5,3]=>1110100=>116
[8,1,2,6,4,7,5,3]=>1011100=>92
[8,4,1,6,2,7,5,3]=>1111100=>124
[4,8,1,2,6,7,5,3]=>1010100=>84
[4,8,2,1,6,7,5,3]=>1110100=>116
[8,1,6,2,4,7,5,3]=>1110100=>116
[8,2,4,6,1,7,5,3]=>1110100=>116
[2,1,4,3,6,5,8,9,10,7]=>101010100=>340
[2,1,4,3,6,7,8,5,10,9]=>101010001=>337
[2,1,4,3,8,7,9,10,5,6]=>101010100=>340
[2,1,4,3,6,7,8,9,10,5]=>101010000=>336
[2,1,4,5,6,3,8,7,10,9]=>101000101=>325
[2,1,4,5,6,3,8,9,10,7]=>101000100=>324
[2,1,6,5,7,8,3,4,10,9]=>101010001=>337
[2,1,8,5,9,7,3,10,6,4]=>101111100=>380
[2,1,6,5,7,8,9,10,3,4]=>101010000=>336
[2,1,4,5,6,7,8,3,10,9]=>101000001=>321
[2,1,8,5,6,7,9,10,3,4]=>101010000=>336
[2,1,4,7,6,8,9,3,10,5]=>101011000=>344
[2,1,4,5,6,7,8,9,10,3]=>101000000=>320
[2,3,4,1,6,5,8,7,10,9]=>100010101=>277
[2,3,4,1,6,5,8,9,10,7]=>100010100=>276
[2,3,4,1,6,7,8,5,10,9]=>100010001=>273
[2,3,4,1,8,7,9,10,5,6]=>100010100=>276
[2,3,4,1,6,7,8,9,10,5]=>100010000=>272
[4,3,5,6,1,2,8,7,10,9]=>101000101=>325
[4,3,5,6,1,2,8,9,10,7]=>101000100=>324
[6,3,7,5,1,8,4,2,10,9]=>111110001=>497
[8,3,9,5,1,7,4,10,6,2]=>111111000=>504
[6,3,7,5,1,8,9,10,4,2]=>111110000=>496
[4,3,5,6,7,8,1,2,10,9]=>101000001=>321
[8,3,9,5,6,7,1,10,4,2]=>111110000=>496
[4,3,7,8,6,10,9,2,5,1]=>111001001=>457
[4,3,5,6,7,8,9,10,1,2]=>101000000=>320
[2,3,4,5,6,1,8,7,10,9]=>100000101=>261
[6,3,4,5,7,8,1,2,10,9]=>101000001=>321
[8,3,4,5,9,7,1,10,6,2]=>111001100=>460
[6,3,4,5,7,8,9,10,1,2]=>101000000=>320
[2,5,4,6,7,1,8,3,10,9]=>101100001=>353
[8,5,4,6,7,1,9,10,3,2]=>111110000=>496
[2,7,4,8,6,1,9,5,10,3]=>101111000=>376
[2,5,4,6,7,8,9,1,10,3]=>101100000=>352
[2,3,4,5,6,7,8,1,10,9]=>100000001=>257
[8,3,4,5,6,7,9,10,1,2]=>101000000=>320
[2,7,4,5,6,8,9,1,10,3]=>101100000=>352
[2,3,6,5,7,8,1,9,10,4]=>100110000=>304
[5,4,7,6,3,1,2,8]=>1011010=>90
[3,6,4,8,1,5,2,7]=>1101000=>104
[3,6,8,4,1,5,2,7]=>1101000=>104
[8,7,1,4,2,3,5,6]=>1100001=>97
[3,8,6,4,1,5,2,7]=>1101010=>106
[8,2,6,5,7,1,3,4]=>1100100=>100
[4,6,1,3,2,8,7,5]=>1100101=>101
[7,1,4,8,2,3,6,5]=>1100100=>100
[4,5,3,6,7,1,8,2]=>1110000=>112
[1,4,7,8,3,5,2,6]=>0110000=>48
[4,6,1,3,5,2,8,7]=>1100001=>97
[2,5,1,4,8,3,7,6]=>1010010=>82
[6,1,2,5,4,8,7,3]=>1011001=>89
[8,4,1,7,3,5,6,2]=>1111000=>120
[8,4,1,2,5,7,3,6]=>1011000=>88
[2,4,5,6,8,3,1,7]=>1010000=>80
[3,4,5,8,6,2,1,7]=>1100010=>98
[4,5,1,8,6,3,7,2]=>1110010=>114
[1,8,2,3,4,5,9,6,7]=>01000100=>68
[1,3,4,5,6,8,9,2,7]=>01000000=>64
[8,3,7,2,1,6,5,4]=>1111100=>124
[8,4,7,6,2,5,1,3]=>1101010=>106
[8,4,7,3,6,2,1,5]=>1111000=>120
[3,8,7,5,6,4,1,2]=>1001101=>77
[3,8,7,5,6,2,1,4]=>1100101=>101
[3,8,7,5,6,2,4,1]=>1100101=>101
[2,8,7,5,6,4,1,3]=>1001101=>77
[4,5,2,3,6,7,8,9,1]=>11000000=>192
[4,3,2,5,6,7,8,9,1]=>11100000=>224
[5,6,7,2,3,4,8,9,1]=>11000000=>192
[5,3,6,2,4,7,8,9,1]=>11100000=>224
[5,4,3,2,6,7,8,9,1]=>11110000=>240
[6,3,7,8,2,4,5,9,1]=>11100000=>224
[6,7,4,5,2,3,8,9,1]=>11010000=>208
[6,4,3,7,2,5,8,9,1]=>11110000=>240
[7,8,4,5,9,2,3,6,1]=>11010000=>208
[7,4,3,8,9,2,5,6,1]=>11110000=>240
[7,5,8,3,6,2,4,9,1]=>11101000=>232
[7,5,4,3,8,2,6,9,1]=>11111000=>248
[7,6,5,4,3,2,8,9,1]=>11111100=>252
[8,6,4,9,3,7,2,5,1]=>11110100=>244
[8,6,5,4,3,9,2,7,1]=>11111100=>252
[4,5,2,3,6,7,8,9,10,1]=>110000000=>384
[4,3,2,5,6,7,8,9,10,1]=>111000000=>448
[5,6,7,2,3,4,8,9,10,1]=>110000000=>384
[5,3,6,2,4,7,8,9,10,1]=>111000000=>448
[5,4,3,2,6,7,8,9,10,1]=>111100000=>480
[6,7,8,9,2,3,4,5,10,1]=>110000000=>384
[6,3,7,8,2,4,5,9,10,1]=>111000000=>448
[6,7,4,5,2,3,8,9,10,1]=>110100000=>416
[6,4,3,7,2,5,8,9,10,1]=>111100000=>480
[6,5,4,3,2,7,8,9,10,1]=>111110000=>496
[7,8,9,10,1,3,4,5,6,2]=>110000000=>384
[7,3,8,9,10,2,4,5,6,1]=>111000000=>448
[7,4,3,8,9,2,5,6,10,1]=>111100000=>480
[7,5,8,3,6,2,4,9,10,1]=>111010000=>464
[7,5,4,3,8,2,6,9,10,1]=>111110000=>496
[7,6,5,4,3,2,8,9,10,1]=>111111000=>504
[8,5,9,3,6,10,2,4,7,1]=>111010000=>464
[8,5,4,3,9,10,2,6,7,1]=>111110000=>496
[8,9,6,7,4,5,2,3,10,1]=>110101000=>424
[8,6,4,9,3,7,2,5,10,1]=>111101000=>488
[8,6,5,4,3,9,2,7,10,1]=>111111000=>504
[8,7,6,5,4,3,2,9,10,1]=>111111100=>508
[9,7,5,4,10,3,8,2,6,1]=>111110100=>500
[9,7,6,5,4,3,10,2,8,1]=>111111100=>508
[10,1,9,2,8,3,7,4,6,5]=>111110000=>496
[1,5,6,3,8,2,7,4]=>0111000=>56
[2,6,3,8,4,7,1,5]=>1011000=>88
[2,6,3,5,7,8,1,4]=>1010000=>80
[1,5,6,3,7,2,8,4]=>0111000=>56
[1,7,5,3,6,2,8,4]=>0111100=>60
[1,5,7,3,4,2,8,6]=>0110010=>50
[1,5,8,3,4,2,7,6]=>0110010=>50
[1,4,5,3,7,2,8,6]=>0110010=>50
[1,4,5,3,8,2,7,6]=>0110010=>50
[6,5,1,4,2,7,8,3]=>1110100=>116
[6,5,1,4,2,8,7,3]=>1110101=>117
[1,7,5,4,2,8,6,3]=>0111110=>62
[5,1,6,8,3,7,2,4]=>1110000=>112
[1,4,3,6,5,10,9,7,8,2]=>011010101=>213
[1,4,3,8,7,5,6,10,9,2]=>011010101=>213
[1,4,3,10,7,5,9,6,8,2]=>011011100=>220
[1,4,3,10,9,8,5,6,7,2]=>011010011=>211
[1,6,5,3,4,8,7,10,9,2]=>011010101=>213
[1,6,5,3,4,10,9,7,8,2]=>011010101=>213
[1,8,5,3,7,4,6,10,9,2]=>011110001=>241
[1,10,5,3,7,4,9,6,8,2]=>011111000=>248
[1,10,5,3,9,8,4,6,7,2]=>011110010=>242
[1,8,7,6,3,4,5,10,9,2]=>011001101=>205
[1,10,7,6,3,4,9,5,8,2]=>011011100=>220
[1,10,9,6,3,8,4,5,7,2]=>011101001=>233
[1,10,9,8,7,3,4,5,6,2]=>011000111=>199
[3,1,2,6,5,8,7,10,9,4]=>100110101=>309
[3,1,2,6,5,10,9,7,8,4]=>100110101=>309
[3,1,2,8,7,5,6,10,9,4]=>100110101=>309
[3,1,2,10,7,5,9,6,8,4]=>100111100=>316
[3,1,2,10,9,8,5,6,7,4]=>100110011=>307
[3,1,5,2,4,8,7,10,9,6]=>110001101=>397
[3,1,5,2,4,10,9,7,8,6]=>110001101=>397
[3,1,5,2,7,4,6,10,9,8]=>110100011=>419
[3,1,5,2,9,8,4,6,7,10]=>110100010=>418
[3,1,7,6,2,4,5,10,9,8]=>110001011=>395
[3,1,7,6,2,4,9,5,8,10]=>110011000=>408
[3,1,9,6,2,8,4,5,7,10]=>110101000=>424
[3,1,9,8,7,2,4,5,6,10]=>110000110=>390
[5,4,1,2,3,8,7,10,9,6]=>100101101=>301
[5,4,1,2,3,10,9,7,8,6]=>100101101=>301
[5,4,1,2,7,3,6,10,9,8]=>101100011=>355
[5,4,1,2,7,3,9,6,8,10]=>101101000=>360
[5,4,1,2,9,8,3,6,7,10]=>101100010=>354
[7,4,1,6,2,3,5,10,9,8]=>110100011=>419
[7,4,1,6,2,3,9,5,8,10]=>110110000=>432
[9,4,1,6,2,8,3,5,7,10]=>111100000=>480
[9,4,1,8,7,2,3,5,6,10]=>110100100=>420
[7,6,5,1,2,3,4,10,9,8]=>100011011=>283
[7,6,5,1,2,3,9,4,8,10]=>100111000=>312
[9,6,5,1,2,8,3,4,7,10]=>101011000=>344
[9,8,5,1,7,2,3,4,6,10]=>110010010=>402
[3,8,5,2,1,4,7,6]=>1100110=>102
[3,5,4,8,2,6,7,1]=>1101000=>104
[5,4,7,1,8,6,3,2]=>1111010=>122
[2,4,1,5,3,6,7,8,9]=>10100000=>160
[1,4,8,2,6,5,3,7]=>0110100=>52
[8,5,1,3,6,2,4,7]=>1100100=>100
[7,5,1,8,3,4,2,6]=>1110100=>116
[5,2,8,1,7,4,3,6]=>1111000=>120
[1,4,8,2,6,7,3,5]=>0110000=>48
[1,2,5,6,8,7,3,4]=>0010001=>17
[1,5,6,8,2,7,4,3]=>0111000=>56
[2,6,7,3,4,1,8,5]=>1010100=>84
[1,6,5,7,8,2,4,3]=>0110100=>52
[1,5,6,7,2,8,4,3]=>0111000=>56
[3,7,6,1,8,2,4,5]=>1100010=>98
[1,3,7,2,6,4,8,5]=>0101100=>44
[1,5,8,6,7,3,4,2]=>0110010=>50
[1,6,5,8,7,2,4,3]=>0110101=>53
[1,5,7,6,2,8,3,4]=>0110010=>50
[1,2,5,8,6,7,4,3]=>0011010=>26
[1,2,6,5,7,3,8,4]=>0011100=>28
[1,7,5,8,6,4,2,3]=>0101110=>46
[3,6,5,8,1,2,7,4]=>1001100=>76
[5,4,7,8,1,6,3,2]=>1111000=>120
[2,5,6,8,1,3,7,4]=>1001000=>72
[5,3,6,8,1,2,7,4]=>1011000=>88
[4,6,5,8,3,2,7,1]=>1110100=>116
[4,5,6,8,2,3,7,1]=>1100000=>96
[2,5,8,7,1,6,4,3]=>1011001=>89
[4,7,5,8,3,6,2,1]=>1110100=>116
[7,3,6,8,5,2,1,4]=>1110100=>116
[8,3,6,7,5,2,4,1]=>1110100=>116
[8,4,5,7,3,6,2,1]=>1111000=>120
[2,4,7,8,5,6,3,1]=>1010100=>84
[3,6,8,7,5,2,4,1]=>1100101=>101
[6,4,7,8,5,1,3,2]=>1101100=>108
[7,8,4,6,5,3,1,2]=>1011100=>92
[6,8,4,7,5,1,3,2]=>1101100=>108
[4,5,6,7,8,3,9,1,2]=>10100000=>160
[8,9,2,3,4,5,1,6,7]=>11000000=>192
[5,6,7,4,8,9,1,2,3]=>10010000=>144
[7,8,9,2,3,1,4,5,6]=>11000000=>192
[6,5,7,8,9,1,2,3,4]=>10001000=>136
[7,6,1,2,3,5,4,8]=>1001010=>74
[2,8,7,5,1,6,3,4]=>1010101=>85
[8,7,6,4,2,1,5,3]=>1111011=>123
[3,8,7,5,2,6,4,1]=>1101101=>109
[3,8,7,5,1,2,6,4]=>1001101=>77
[5,8,3,7,1,4,6,2]=>1110000=>112
[3,8,7,4,2,6,5,1]=>1101101=>109
[5,8,3,2,4,7,6,1]=>1110010=>114
[5,3,8,2,4,6,1,7]=>1110000=>112
[4,5,8,3,2,6,1,7]=>1110000=>112
[5,8,2,1,4,6,3,7]=>1110000=>112
[4,1,5,8,3,6,2,7]=>1110000=>112
[4,5,8,3,6,1,2,7]=>1010000=>80
[3,2,7,1,8,5,4,6]=>1101100=>108
[4,7,8,5,2,3,1,6]=>1100100=>100
[6,2,7,8,1,5,3,4]=>1110000=>112
[2,7,1,3,8,5,4,6]=>1001100=>76
[2,6,7,8,4,1,3,5]=>1001000=>72
[2,6,7,8,4,3,1,5]=>1011000=>88
[7,1,2,3,4,5,8,6,9]=>10000100=>132
[6,1,2,3,4,7,5,8,9]=>10001000=>136
[5,1,2,3,6,4,7,8,9]=>10010000=>144
[4,1,2,5,3,6,7,8,9]=>10100000=>160
[8,1,2,6,5,3,7,4]=>1011100=>92
[8,5,4,6,1,2,7,3]=>1011100=>92
[7,4,1,8,2,5,3,6]=>1111000=>120
[7,2,1,8,3,6,4,5]=>1111000=>120
[6,8,7,3,1,2,4,5]=>1010001=>81
[7,4,8,3,1,2,6,5]=>1011100=>92
[8,4,5,3,1,6,7,2]=>1111000=>120
[8,2,3,1,6,7,4,5]=>1101000=>104
[8,2,1,7,4,3,5,6]=>1111000=>120
[7,2,6,8,4,1,3,5]=>1101000=>104
[7,2,5,1,6,8,3,4]=>1110000=>112
[6,2,1,7,4,8,3,5]=>1111000=>120
[1,7,4,3,2,5,6,8]=>0111000=>56
[1,7,4,3,6,2,5,8]=>0111000=>56
[3,7,5,8,2,4,6,1]=>1100100=>100
[5,2,1,6,3,4,8,7]=>1110001=>113
[5,1,3,4,6,2,8,7]=>1100001=>97
[3,8,4,5,7,2,6,1]=>1101000=>104
[3,8,4,7,5,6,2,1]=>1101100=>108
[4,2,8,6,3,7,5,1]=>1110110=>118
[4,1,7,6,3,8,5,2]=>1110110=>118
[7,4,1,8,5,3,6,2]=>1111100=>124
[3,5,6,8,4,7,1,2]=>1001000=>72
[5,4,1,8,6,7,2,3]=>1101010=>106
[6,2,8,4,5,3,7,1]=>1111000=>120
[4,5,2,1,8,7,3,6]=>1110001=>113
[4,7,3,8,2,6,5,1]=>1110100=>116
[4,7,3,1,8,6,2,5]=>1110010=>114
[6,2,1,3,7,4,8,5]=>1101100=>108
[6,3,7,1,2,5,8,4]=>1011000=>88
[5,1,4,7,8,2,6,3]=>1110000=>112
[7,2,5,8,1,3,6,4]=>1101000=>104
[8,3,6,7,2,4,5,1]=>1110000=>112
[3,8,7,5,2,1,6,4]=>1101101=>109
[3,8,5,6,2,7,4,1]=>1101100=>108
[3,6,5,8,4,2,7,1]=>1101100=>108
[6,8,3,2,5,7,4,1]=>1111000=>120
[4,1,5,6,8,7,3,2]=>1110001=>113
[8,4,2,3,6,7,5,1]=>1101100=>108
[6,1,2,4,5,7,8,3]=>1010000=>80
[4,5,1,3,7,6,8,2]=>1100010=>98
[3,5,4,8,6,2,7,1]=>1101010=>106
[3,6,2,4,5,8,7,1]=>1100001=>97
[8,1,2,3,4,5,9,7,6]=>10000110=>134
[8,1,2,3,4,9,6,7,5]=>10001100=>140
[9,1,2,3,8,5,6,7,4]=>10011000=>152
[8,1,3,7,4,5,6,2]=>1101000=>104
[9,1,2,3,4,5,6,10,8,7]=>100000110=>262
[9,1,2,3,4,5,10,7,8,6]=>100001100=>268
[10,1,2,3,4,9,6,7,8,5]=>100011000=>280
[10,1,9,3,4,5,6,7,8,2]=>111000000=>448
[10,1,2,3,4,5,6,8,9,7]=>100000100=>260
[9,1,2,3,4,6,7,8,5]=>10001000=>136
[8,1,5,3,6,4,7,2]=>1111000=>120
[2,6,4,1,5,8,7,3]=>1011001=>89
[7,6,5,2,4,3,8,1]=>1110110=>118
[3,6,4,5,2,8,1,7]=>1101000=>104
[8,1,5,4,7,3,6,2]=>1111000=>120
[7,6,5,4,1,8,2,3]=>1101110=>110
[3,6,4,1,5,7,2,8]=>1101000=>104
[8,1,5,4,7,6,3,2]=>1111010=>122
[2,5,1,4,6,7,3,8]=>1010000=>80
[7,6,5,2,8,4,1,3]=>1101110=>110
[3,1,6,5,2,8,7,4]=>1101101=>109
[1,7,2,4,3,5,8,6]=>0110010=>50
[3,8,1,7,4,2,6,5]=>1101100=>108
[8,1,7,4,3,5,6,2]=>1111000=>120
[6,8,2,4,5,3,7,1]=>1110000=>112
[4,8,5,3,6,1,7,2]=>1110100=>116
[8,6,3,2,7,4,1,5]=>1111010=>122
[2,7,3,1,8,4,5,6]=>1011000=>88
[1,2,8,3,5,6,4,7]=>0011000=>24
[3,5,7,4,8,1,6,2]=>1101000=>104
[2,8,1,3,5,4,6,7]=>1001000=>72
[1,3,2,10,6,5,4,9,8,7]=>010111110=>190
[1,6,3,2,5,4,10,9,8,7]=>011100111=>231
[1,6,3,2,10,5,4,9,8,7]=>011110110=>246
[1,10,6,3,2,5,4,9,8,7]=>011101110=>238
[1,6,3,2,10,9,5,4,8,7]=>011110101=>245
[1,10,6,3,2,9,5,4,8,7]=>011111100=>252
[3,1,2,6,5,4,10,9,8,7]=>100110111=>311
[3,1,2,10,6,5,4,9,8,7]=>100111110=>318
[3,1,6,2,5,4,10,9,8,7]=>110100111=>423
[3,1,6,2,10,5,4,9,8,7]=>110110110=>438
[3,1,10,6,2,5,4,9,8,7]=>110101110=>430
[3,1,6,2,10,9,5,4,8,7]=>110110101=>437
[3,1,10,6,2,9,5,4,8,7]=>110111100=>444
[6,3,1,2,5,4,10,9,8,7]=>101100111=>359
[6,3,1,2,10,5,4,9,8,7]=>101110110=>374
[6,3,1,10,2,5,4,9,8,7]=>111100110=>486
[10,6,3,1,2,5,4,9,8,7]=>101101110=>366
[6,3,1,2,10,9,5,4,8,7]=>101110101=>373
[6,3,1,10,2,9,5,4,8,7]=>111110100=>500
[10,6,3,1,2,9,5,4,8,7]=>101111100=>380
[3,1,6,5,2,4,10,9,8,7]=>110010111=>407
[3,1,6,5,2,10,4,9,8,7]=>110110110=>438
[3,1,10,6,5,2,4,9,8,7]=>110011110=>414
[3,1,6,5,2,10,9,4,8,7]=>110110101=>437
[3,1,10,6,5,2,9,4,8,7]=>110111100=>444
[6,3,1,5,2,4,10,9,8,7]=>111000111=>455
[6,3,1,5,2,10,4,9,8,7]=>111100110=>486
[6,3,1,10,5,2,4,9,8,7]=>111010110=>470
[10,6,3,1,5,2,4,9,8,7]=>111001110=>462
[6,3,1,5,2,10,9,4,8,7]=>111100101=>485
[6,3,1,10,5,2,9,4,8,7]=>111110100=>500
[10,6,3,1,5,2,9,4,8,7]=>111101100=>492
[6,3,1,10,9,5,2,4,8,7]=>111010101=>469
[10,6,3,1,9,5,2,4,8,7]=>111011100=>476
[3,1,6,5,2,10,9,8,4,7]=>110110011=>435
[3,1,10,6,5,2,9,8,4,7]=>110111010=>442
[6,3,1,5,2,10,9,8,4,7]=>111100011=>483
[6,3,1,10,5,2,9,8,4,7]=>111110010=>498
[10,6,3,1,5,2,9,8,4,7]=>111101010=>490
[6,3,1,10,9,5,2,8,4,7]=>111110001=>497
[1,5,2,8,6,4,3,7]=>0111010=>58
[7,4,8,6,3,1,2,5]=>1011010=>90
[3,6,8,4,1,2,5,7]=>1001000=>72
[4,7,8,5,2,1,3,6]=>1100100=>100
[6,1,5,2,8,7,3,4]=>1110001=>113
[8,1,3,5,7,4,2,6]=>1101000=>104
[3,1,8,5,4,7,2,6]=>1101100=>108
[3,1,6,4,8,5,2,7]=>1101100=>108
[5,1,3,4,2,6,8,7]=>1100001=>97
[3,2,6,4,1,5,7,8]=>1101000=>104
[5,4,2,1,8,3,6,7]=>1111000=>120
[4,2,5,1,8,7,3,6]=>1110001=>113
[6,8,2,7,1,4,3,5]=>1110000=>112
[1,8,4,7,3,2,5,6]=>0111000=>56
[8,6,3,1,5,7,2,4]=>1110010=>114
[5,8,3,1,4,7,6,2]=>1110010=>114
[1,2,5,4,7,8,3,6]=>0011000=>24
[1,8,3,2,6,4,7,5]=>0111100=>60
[4,7,1,2,5,3,6,8]=>1010000=>80
[6,8,4,1,3,7,2,5]=>1101000=>104
[3,2,6,1,7,8,5,4]=>1101100=>108
[7,6,4,1,8,3,5,2]=>1111010=>122
[5,4,1,6,7,3,2,8]=>1111000=>120
[7,4,1,6,5,8,2,3]=>1101100=>108
[8,5,4,1,6,7,3,2]=>1111100=>124
[5,2,1,6,4,7,8,3]=>1111000=>120
[1,6,2,3,5,7,8,4]=>0101000=>40
[1,3,4,8,5,2,6,7]=>0100100=>36
[8,2,4,6,1,7,3,5]=>1110000=>112
[1,5,7,2,3,6,8,4]=>0101000=>40
[7,3,1,4,2,5,8,6]=>1110010=>114
[3,2,5,7,8,4,1,6]=>1101000=>104
[4,3,5,1,6,2,7,8]=>1110000=>112
[8,6,3,5,4,1,2,7]=>1011010=>90
[8,3,2,6,1,5,4,7]=>1111000=>120
[8,5,1,7,4,6,2,3]=>1101100=>108
[4,8,1,7,6,3,5,2]=>1110010=>114
[8,5,1,7,4,3,6,2]=>1111100=>124
[8,5,7,6,2,1,3,4]=>1100110=>102
[5,4,8,3,1,7,2,6]=>1111000=>120
[5,1,4,8,3,2,7,6]=>1110010=>114
[4,8,1,7,6,5,2,3]=>1100110=>102
[4,3,8,7,2,6,1,5]=>1110001=>113
[3,8,7,2,6,4,1,5]=>1101001=>105
[8,2,5,7,4,3,6,1]=>1111000=>120
[3,8,7,4,6,1,2,5]=>1001001=>73
[8,7,6,3,5,4,1,2]=>1011011=>91
[2,8,4,7,6,1,5,3]=>1011010=>90
[2,5,4,8,3,1,7,6]=>1011010=>90
[5,4,8,2,1,3,7,6]=>1101010=>106
[3,8,7,2,6,1,5,4]=>1101001=>105
[1,8,4,7,6,3,5,2]=>0111010=>58
[1,8,3,7,6,5,2,4]=>0110110=>54
[1,4,3,8,7,2,6,5]=>0110101=>53
[7,1,5,4,6,2,3,8]=>1101000=>104
[7,4,1,3,6,2,5,8]=>1101000=>104
[5,4,3,1,7,6,2,8]=>1111010=>122
[4,1,3,7,5,6,2,8]=>1100100=>100
[2,6,8,3,1,7,4,5]=>1011000=>88
[2,5,4,8,1,7,3,6]=>1011000=>88
[7,5,2,4,8,3,6,1]=>1110100=>116
[7,8,2,6,3,5,4,1]=>1111000=>120
[7,2,6,5,8,3,4,1]=>1110100=>116
[5,6,3,1,4,2,7,8]=>1110000=>112
[2,6,5,3,4,8,7,1]=>1010101=>85
[2,6,1,5,3,4,7,8]=>1010000=>80
[3,6,2,7,4,5,1,8]=>1101000=>104
[3,4,7,8,5,1,6,2]=>1100100=>100
[3,6,2,4,7,8,5,1]=>1100100=>100
[5,3,6,4,8,7,2,1]=>1111001=>121
[1,5,4,8,6,2,7,3]=>0111010=>58
[4,5,2,7,6,3,8,1]=>1110010=>114
[5,8,3,1,2,7,6,4]=>1011010=>90
[7,6,2,5,3,8,4,1]=>1111010=>122
[8,4,6,1,3,7,2,5]=>1101000=>104
[4,8,5,1,2,3,6,7]=>1000100=>68
[8,6,2,4,5,1,3,7]=>1100010=>98
[4,5,1,3,8,6,2,7]=>1100010=>98
[7,4,2,3,6,8,5,1]=>1101100=>108
[2,1,6,7,4,8,3,5]=>1011000=>88
[7,8,1,3,6,4,5,2]=>1101000=>104
[7,2,6,8,4,5,3,1]=>1111000=>120
[7,3,6,8,5,1,4,2]=>1110100=>116
[7,5,8,1,6,2,4,3]=>1110100=>116
[5,7,8,1,6,3,2,4]=>1110000=>112
[7,2,6,8,5,1,4,3]=>1110100=>116
[7,5,2,4,8,3,1,6]=>1110100=>116
[7,8,3,1,6,2,5,4]=>1111000=>120
[6,7,8,4,3,1,5,2]=>1111000=>120
[7,8,3,6,4,1,5,2]=>1111000=>120
[7,3,8,1,6,4,5,2]=>1111000=>120
[1,7,5,8,2,4,6,3]=>0110100=>52
[7,5,2,8,1,4,6,3]=>1110100=>116
[3,7,8,2,6,5,1,4]=>1100100=>100
[3,7,8,2,1,6,4,5]=>1101000=>104
[7,8,1,6,3,5,4,2]=>1111000=>120
[6,7,8,2,5,4,3,1]=>1111000=>120
[6,7,8,3,1,5,4,2]=>1111000=>120
[7,8,1,6,2,5,4,3]=>1111000=>120
[5,6,1,4,3,8,2,7]=>1110000=>112
[5,1,6,8,3,4,7,2]=>1110000=>112
[7,1,6,8,5,4,3,2]=>1111100=>124
[5,6,8,1,2,3,7,4]=>1001000=>72
[4,8,1,2,7,6,5,3]=>1010110=>86
[4,6,1,2,8,5,7,3]=>1010100=>84
[6,4,7,3,5,2,1,8]=>1111000=>120
[5,7,8,4,2,1,3,6]=>1101000=>104
[6,4,8,3,5,2,1,7]=>1111000=>120
[3,1,6,2,5,7,8,4]=>1101000=>104
[2,1,6,3,5,7,4,8]=>1011000=>88
[1,6,4,5,2,7,3,8]=>0111000=>56
[1,4,7,3,2,5,6,8]=>0110000=>48
[6,2,1,4,5,3,7,8]=>1110000=>112
[6,2,1,5,7,3,4,8]=>1110000=>112
[1,2,3,4,5,8,9,6,7]=>00000100=>4
[1,2,3,4,7,9,5,8,6]=>00001100=>12
[1,2,3,6,9,4,7,8,5]=>00011000=>24
[1,2,4,6,8,3,7,5]=>0010100=>20
[1,2,5,9,3,6,7,8,4]=>00110000=>48
[1,3,5,8,2,6,7,4]=>0101000=>40
[1,4,9,2,5,6,7,8,3]=>01100000=>96
[3,9,1,4,5,6,7,8,2]=>11000000=>192
[6,1,3,7,2,8,5,4]=>1101100=>108
[6,4,5,8,3,7,1,2]=>1011000=>88
[8,1,4,3,6,7,2,5]=>1110000=>112
[2,6,8,4,3,1,7,5]=>1011100=>92
[8,1,5,2,6,4,3,7]=>1111000=>120
[1,6,7,4,2,8,3,5]=>0111000=>56
[1,7,8,4,3,6,2,5]=>0111000=>56
[1,5,8,7,4,3,2,6]=>0111001=>57
[1,4,7,2,3,6,8,5]=>0100100=>36
[3,1,2,6,7,8,5,4]=>1001100=>76
[3,8,1,6,4,2,7,5]=>1101100=>108
[1,6,3,4,7,8,2,5]=>0110000=>48
[3,1,5,7,6,2,8,4]=>1101010=>106
[6,3,1,4,2,7,8,5]=>1110100=>116
[2,4,3,7,6,1,8,5]=>1010110=>86
[3,1,7,6,5,2,8,4]=>1101110=>110
[1,4,7,6,8,3,2,5]=>0110010=>50
[7,2,1,5,6,3,8,4]=>1111000=>120
[4,3,1,8,6,2,7,5]=>1110110=>118
[3,1,5,2,8,7,6,4]=>1101011=>107
[1,2,8,4,3,7,6,5]=>0011110=>30
[2,6,1,8,7,4,3,5]=>1011001=>89
[7,5,1,8,3,2,6,4]=>1111100=>124
[4,7,6,3,1,8,2,5]=>1110010=>114
[5,3,1,8,6,2,4,7]=>1110010=>114
[5,1,8,6,3,2,4,7]=>1110010=>114
[1,5,4,2,8,6,3,7]=>0111010=>58
[1,4,2,8,5,3,7,6]=>0110110=>54
[8,3,1,6,4,2,5,7]=>1111000=>120
[1,7,4,8,3,5,2,6]=>0111000=>56
[7,3,2,4,8,5,1,6]=>1110100=>116
[5,7,8,1,4,2,6,3]=>1110000=>112
[2,6,3,8,1,7,5,4]=>1011100=>92
[2,5,1,8,6,3,7,4]=>1011010=>90
[2,8,6,4,1,7,3,5]=>1011010=>90
[1,8,4,2,7,5,3,6]=>0111100=>60
[6,5,1,7,2,8,4,3]=>1111100=>124
[2,8,1,7,5,3,6,4]=>1011100=>92
[1,2,8,7,6,4,3,5]=>0011011=>27
[4,1,7,8,6,3,5,2]=>1110010=>114
[1,6,5,7,8,4,2,3]=>0101100=>44
[4,1,8,7,6,3,5,2]=>1110011=>115
[4,8,2,6,3,5,1,7]=>1110000=>112
[4,3,5,7,1,6,2,8]=>1110000=>112
[4,1,8,5,3,6,2,7]=>1110100=>116
[6,4,2,5,3,1,7,8]=>1111000=>120
[3,1,5,8,2,7,4,6]=>1101000=>104
[6,4,1,5,3,2,7,8]=>1111000=>120
[6,2,1,5,4,3,7,8]=>1111000=>120
[3,1,8,5,4,6,2,7]=>1101100=>108
[6,1,8,4,5,3,2,7]=>1111000=>120
[4,5,2,7,1,6,3,8]=>1110000=>112
[4,3,5,7,1,6,8,2]=>1110000=>112
[4,1,8,5,3,6,7,2]=>1110100=>116
[6,3,8,4,5,1,7,2]=>1111000=>120
[3,1,6,8,5,7,4,2]=>1101100=>108
[2,6,1,8,5,7,4,3]=>1011100=>92
[6,3,8,4,5,2,1,7]=>1111000=>120
[6,5,8,7,2,3,4,1]=>1100101=>101
[6,3,8,4,5,2,7,1]=>1111000=>120
[2,1,6,8,5,3,7,4]=>1011100=>92
[3,2,6,8,5,4,7,1]=>1101100=>108
[4,1,8,5,2,6,3,7]=>1110100=>116
[3,1,6,8,5,2,4,7]=>1100100=>100
[6,5,8,7,4,1,2,3]=>1001101=>77
[6,5,8,7,4,2,1,3]=>1101101=>109
[6,5,8,7,2,4,1,3]=>1100101=>101
[6,2,8,4,5,7,1,3]=>1101000=>104
[6,1,8,4,5,7,3,2]=>1111000=>120
[1,9,2,10,3,4,5,6,7,8]=>011000000=>192
[2,8,1,9,3,4,5,6,7]=>10100000=>160
[4,2,7,3,5,8,6,1]=>1110010=>114
[3,6,2,4,8,5,7,1]=>1100100=>100
[2,7,5,4,3,8,6,1]=>1011110=>94
[3,5,1,8,4,7,6,2]=>1101010=>106
[3,6,1,8,5,4,7,2]=>1101100=>108
[2,4,8,3,7,6,5,1]=>1010110=>86
[3,6,8,2,5,7,4,1]=>1101000=>104
[2,6,8,5,4,3,7,1]=>1011100=>92
[3,6,8,2,5,4,7,1]=>1101000=>104
[4,6,8,3,2,5,7,1]=>1110000=>112
[4,6,2,8,3,5,7,1]=>1110000=>112
[3,6,1,8,5,7,4,2]=>1101100=>108
[5,2,6,8,4,1,7,3]=>1111000=>120
[4,6,3,8,7,2,5,1]=>1110001=>113
[3,5,8,2,7,4,6,1]=>1101000=>104
[2,6,8,5,7,4,3,1]=>1011100=>92
[2,4,8,7,6,3,5,1]=>1010011=>83
[7,5,1,6,3,2,8,4]=>1111100=>124
[2,7,6,3,4,1,8,5]=>1010110=>86
[5,7,6,3,1,2,8,4]=>1011010=>90
[4,8,2,1,7,5,6,3]=>1110100=>116
[6,3,8,5,7,2,4,1]=>1110100=>116
[1,5,4,8,6,2,3,7]=>0101010=>42
[8,2,1,7,5,3,6,4]=>1111100=>124
[8,2,1,6,7,3,5,4]=>1111000=>120
[6,2,8,1,7,5,3,4]=>1110100=>116
[3,5,1,8,7,6,2,4]=>1100011=>99
[1,4,2,3,6,5,8,7,9]=>01001010=>74
[1,3,4,2,6,5,8,7,9]=>01001010=>74
[1,4,2,3,6,5,8,7,10,9]=>010010101=>149
[2,3,1,4,6,5,8,7,9]=>10001010=>138
[4,6,1,2,3,5,8,7,9]=>10000010=>130
[3,4,5,1,6,2,8,7,9]=>11000010=>194
[3,1,2,4,6,5,8,7,9]=>10001010=>138
[1,3,4,2,6,5,8,7,10,9]=>010010101=>149
[5,6,2,7,8,1,3,4]=>1100000=>96
[4,7,3,5,6,1,2,8]=>1010000=>80
[4,7,8,3,5,6,1,2]=>1010000=>80
[2,1,3,4,5,6,9,7,8]=>10000010=>130
[1,2,3,4,5,7,8,6,9]=>00000100=>4
[2,1,3,4,5,6,7,10,8,9]=>100000010=>258
[3,2,5,6,8,4,7,1]=>1101000=>104
[8,4,5,2,6,3,7,1]=>1111000=>120
[2,5,6,4,8,3,7,1]=>1011000=>88
[4,2,5,7,3,8,1,6]=>1110000=>112
[4,7,3,1,6,8,2,5]=>1110000=>112
[4,2,7,6,8,1,3,5]=>1100010=>98
[1,7,4,6,8,3,2,5]=>0111000=>56
[4,7,2,5,6,3,1,8]=>1110000=>112
[5,4,1,3,7,8,2,6]=>1101000=>104
[6,1,5,8,3,7,2,4]=>1110000=>112
[4,1,3,5,7,8,2,6]=>1100000=>96
[6,1,5,8,4,3,2,7]=>1111000=>120
[7,2,1,6,8,3,5,4]=>1111000=>120
[5,6,4,1,8,3,2,7]=>1111000=>120
[4,5,2,1,7,8,3,6]=>1110000=>112
[2,3,7,8,5,1,6,4]=>1001100=>76
[4,1,7,6,2,3,8,5]=>1100110=>102
[1,2,6,7,4,3,5,8]=>0011000=>24
[10,2,3,4,5,6,7,8,1,9]=>110000000=>384
[7,1,9,3,4,5,6,2,8]=>11100000=>224
[5,8,6,3,4,1,2,7]=>1010010=>82
[3,10,1,4,5,6,7,8,9,2]=>110000000=>384
[8,1,10,3,4,5,6,7,2,9]=>111000000=>448
[7,2,1,9,4,5,6,3,8]=>11110000=>240
[6,9,7,3,4,5,1,2,8]=>10100010=>162
[6,2,3,1,8,5,4,7]=>1101100=>108
[5,1,2,6,4,8,3,7]=>1011000=>88
[8,6,2,3,7,5,1,4]=>1100110=>102
[3,8,1,2,9,5,6,7,4]=>10011000=>152
[8,7,9,1,2,3,4,5,6]=>10000010=>130
[8,2,1,10,4,5,6,7,3,9]=>111100000=>480
[7,10,8,3,4,5,6,1,2,9]=>101000010=>322
[7,2,3,1,9,5,6,4,8]=>11011000=>216
[6,1,2,7,4,5,9,3,8]=>10110000=>176
[5,9,6,3,4,1,7,2,8]=>11100100=>228
[4,5,2,8,6,1,3,7]=>1100010=>98
[3,4,8,2,5,6,1,7]=>1100000=>96
[3,8,1,4,2,9,6,7,5]=>11001100=>204
[9,7,2,3,8,5,6,1,4]=>11001010=>202
[3,9,1,2,10,5,6,7,8,4]=>100110000=>304
[2,8,3,6,7,4,5,1]=>1011000=>88
[6,8,2,7,5,3,1,4]=>1110100=>116
[6,3,2,5,8,4,1,7]=>1111000=>120
[5,6,7,2,8,4,1,3]=>1101000=>104
[5,8,3,6,4,1,7,2]=>1111000=>120
[4,3,8,5,2,7,1,6]=>1110100=>116
[2,8,4,5,1,6,3,7]=>1011000=>88
[3,2,5,8,4,7,1,6]=>1101000=>104
[2,5,8,1,3,4,7,6]=>1000010=>66
[3,5,1,8,7,4,2,6]=>1101001=>105
[4,6,1,3,8,2,7,5]=>1100100=>100
[8,6,1,2,3,5,7,4]=>1001010=>74
[5,1,7,8,3,2,4,6]=>1110000=>112
[3,1,7,6,2,8,5,4]=>1101110=>110
[5,3,6,7,4,2,8,1]=>1111000=>120
[5,4,2,8,6,7,3,1]=>1111010=>122
[6,1,4,2,8,7,3,5]=>1110001=>113
[3,7,2,6,8,4,5,1]=>1101000=>104
[4,6,5,2,7,8,3,1]=>1110100=>116
[5,4,6,2,7,8,3,1]=>1111000=>120
[5,1,8,6,4,2,7,3]=>1111010=>122
[6,2,1,8,5,7,4,3]=>1111100=>124
[6,5,7,8,1,3,4,2]=>1100100=>100
[2,1,7,6,8,4,5,3]=>1011010=>90
[6,4,7,2,8,3,1,5]=>1111000=>120
[6,3,2,7,8,4,5,1]=>1111000=>120
[4,7,3,1,5,2,8,6]=>1110010=>114
[2,1,4,7,5,3,8,6]=>1010110=>86
[4,7,6,3,1,5,8,2]=>1110010=>114
[2,4,7,3,8,5,1,6]=>1010100=>84
[2,7,3,1,8,5,4,6]=>1011100=>92
[7,6,8,9,1,2,3,4,5]=>10000100=>132
[5,4,6,7,8,9,1,2,3]=>10010000=>144
[1,2,6,8,3,4,7,5]=>0010100=>20
[1,5,6,8,3,2,4,7]=>0110000=>48
[1,8,2,7,3,5,6,4]=>0111000=>56
[1,7,4,8,6,5,3,2]=>0111110=>62
[1,6,3,5,7,4,8,2]=>0111000=>56
[1,5,4,7,2,8,3,6]=>0111000=>56
[3,8,5,2,6,1,7,4]=>1101100=>108
[3,7,4,8,5,2,6,1]=>1101100=>108
[8,1,2,6,5,3,4,7]=>1010100=>84
[6,8,7,1,3,4,2,5]=>1100001=>97
[3,4,2,8,6,7,5,1]=>1100110=>102
[3,7,8,6,1,4,2,5]=>1100010=>98
[3,6,1,5,2,7,8,4]=>1101000=>104
[7,1,6,8,3,4,2,5]=>1110000=>112
[8,1,2,6,3,5,7,4]=>1011000=>88
[6,2,8,4,7,1,3,5]=>1101000=>104
[3,7,8,4,2,5,6,1]=>1101000=>104
[1,4,3,2,5,6,7,8,9]=>01100000=>96
[6,8,2,7,5,4,1,3]=>1101100=>108
[1,8,4,3,7,6,2,5]=>0111010=>58
[4,3,8,7,1,2,6,5]=>1010101=>85
[1,8,4,5,7,6,2,3]=>0101010=>42
[4,3,8,5,7,1,6,2]=>1110100=>116
[6,3,4,8,7,2,1,5]=>1110001=>113
[5,3,8,4,7,1,6,2]=>1111000=>120
[5,2,8,7,1,4,6,3]=>1110001=>113
[3,2,8,7,1,6,4,5]=>1101001=>105
[2,7,8,3,1,6,4,5]=>1011000=>88
[2,7,8,5,1,4,6,3]=>1010100=>84
[3,5,8,7,4,1,6,2]=>1101001=>105
[7,4,6,8,3,5,1,2]=>1011000=>88
[2,7,8,1,3,6,4,5]=>1001000=>72
[2,7,8,1,5,4,6,3]=>1011000=>88
[2,7,8,1,4,5,6,3]=>1010000=>80
[3,6,7,8,2,4,1,5]=>1100000=>96
[4,5,7,8,6,3,1,2]=>1010010=>82
[5,4,6,8,7,3,1,2]=>1011001=>89
[4,5,8,6,7,1,3,2]=>1100010=>98
[5,7,6,8,2,1,3,4]=>1100010=>98
[3,7,6,8,2,4,1,5]=>1100010=>98
[5,4,7,8,6,3,1,2]=>1011010=>90
[4,5,7,8,2,6,1,3]=>1100000=>96
[4,5,6,8,7,3,1,2]=>1010001=>81
[6,1,5,3,8,4,7,2]=>1111000=>120
[1,8,6,2,5,4,7,3]=>0111010=>58
[3,8,4,1,7,5,2,6]=>1101100=>108
[6,2,7,4,8,3,1,5]=>1111000=>120
[2,8,5,1,4,3,7,6]=>1010110=>86
[6,8,2,7,5,1,4,3]=>1110100=>116
[8,3,4,5,6,1,7,2]=>1110000=>112
[5,3,6,4,7,2,1,8]=>1111000=>120
[4,2,6,5,7,3,1,8]=>1110100=>116
[5,4,6,2,7,3,1,8]=>1111000=>120
[3,2,6,5,8,4,1,7]=>1101100=>108
[3,2,6,5,8,7,1,4]=>1100101=>101
[4,2,6,5,8,7,1,3]=>1100101=>101
[5,2,6,4,8,7,1,3]=>1101001=>105
[5,4,7,6,8,2,1,3]=>1101010=>106
[6,4,7,5,8,3,1,2]=>1011100=>92
[4,2,7,5,8,6,1,3]=>1100110=>102
[3,2,7,5,8,4,1,6]=>1101100=>108
[4,3,7,2,8,5,1,6]=>1110100=>116
[4,3,6,2,8,5,1,7]=>1110100=>116
[4,3,7,6,8,5,1,2]=>1010110=>86
[5,3,7,6,8,2,1,4]=>1110010=>114
[5,3,7,2,8,6,1,4]=>1110010=>114
[3,2,6,4,8,7,1,5]=>1101001=>105
[4,2,7,3,8,6,1,5]=>1110010=>114
[5,2,7,6,8,3,1,4]=>1110010=>114
[3,2,7,6,8,4,1,5]=>1101010=>106
[3,2,7,6,8,5,1,4]=>1100110=>102
[6,2,7,5,8,4,1,3]=>1101100=>108
[4,8,1,7,3,2,5,6]=>1110000=>112
[3,7,4,8,2,1,5,6]=>1101000=>104
[3,7,8,2,5,4,6,1]=>1101000=>104
[4,7,5,8,3,2,6,1]=>1110100=>116
[6,7,1,3,2,5,8,4]=>1101000=>104
[8,7,6,4,1,5,3,2]=>1111011=>123
[3,8,5,2,6,4,7,1]=>1101100=>108
[7,2,5,3,4,8,1,6]=>1110000=>112
[4,2,5,3,7,8,6,1]=>1110010=>114
[5,3,6,2,4,1,8,7]=>1110001=>113
[7,8,6,2,3,5,4,1]=>1101010=>106
[5,8,2,6,3,7,4,1]=>1111000=>120
[4,8,2,3,7,5,6,1]=>1100100=>100
[7,5,6,2,3,8,4,1]=>1101100=>108
[2,7,5,6,4,3,8,1]=>1011100=>92
[2,8,4,3,7,5,6,1]=>1011100=>92
[3,8,5,7,6,4,2,1]=>1101110=>110
[7,8,6,3,5,4,2,1]=>1111010=>122
[2,7,6,3,8,5,4,1]=>1011110=>94
[7,4,2,5,6,3,8,1]=>1111000=>120
[6,2,7,5,3,8,4,1]=>1111100=>124
[2,4,8,3,7,5,6,1]=>1010100=>84
[4,8,3,7,5,6,2,1]=>1110100=>116
[6,2,5,8,3,7,4,1]=>1111000=>120
[4,7,3,8,2,5,6,1]=>1110000=>112
[8,2,5,6,3,7,4,1]=>1111000=>120
[4,5,3,7,1,2,6,8]=>1010000=>80
[8,5,6,4,1,3,2,7]=>1101100=>108
[6,7,2,8,4,3,1,5]=>1111000=>120
[6,7,3,2,8,4,1,5]=>1111000=>120
[4,7,8,3,1,5,2,6]=>1110000=>112
[4,5,8,1,3,2,6,7]=>1100000=>96
[4,7,8,1,6,3,2,5]=>1110000=>112
[4,7,1,3,8,6,5,2]=>1100110=>102
[2,6,7,4,3,8,1,5]=>1011000=>88
[3,7,6,4,5,8,1,2]=>1001010=>74
[5,7,2,8,3,4,6,1]=>1110000=>112
[3,7,2,8,5,6,4,1]=>1101100=>108
[3,1,5,8,6,4,7,2]=>1101010=>106
[2,3,8,6,4,5,7,1]=>1001010=>74
[2,3,8,6,4,7,5,1]=>1001110=>78
[3,6,2,8,7,4,5,1]=>1101001=>105
[2,5,6,1,8,7,3,4]=>1010001=>81
[3,6,2,8,4,7,5,1]=>1101100=>108
[2,3,8,5,7,4,6,1]=>1001100=>76
[2,3,8,6,7,5,4,1]=>1001110=>78
[8,5,6,3,1,4,2,7]=>1110100=>116
[8,3,5,1,6,4,2,7]=>1111000=>120
[5,7,8,3,4,6,2,1]=>1110000=>112
[3,5,1,8,6,4,2,7]=>1101010=>106
[7,5,3,8,6,4,2,1]=>1111110=>126
[5,1,3,8,6,4,2,7]=>1101010=>106
[1,5,8,3,6,4,2,7]=>0111000=>56
[7,5,8,3,6,4,2,1]=>1111100=>124
[1,5,8,6,3,4,2,7]=>0110010=>50
[3,7,5,8,2,6,4,1]=>1101100=>108
[5,7,8,1,4,6,2,3]=>1100000=>96
[1,3,7,8,4,2,6,5]=>0101100=>44
[6,1,2,5,3,4,7,8]=>1010000=>80
[5,1,4,6,7,3,2,8]=>1110000=>112
[1,4,6,5,7,2,3,8]=>0100100=>36
[6,7,3,5,4,1,2,8]=>1011000=>88
[8,1,6,7,3,5,4,2]=>1111000=>120
[7,2,4,1,6,5,3,8]=>1110100=>116
[4,2,5,1,3,7,6,8]=>1100010=>98
[1,3,2,6,8,4,7,5]=>0101100=>44
[8,2,5,4,1,6,7,3]=>1111000=>120
[8,1,7,5,4,2,6,3]=>1111100=>124
[1,2,6,4,7,3,5,8]=>0011000=>24
[1,6,4,3,7,2,5,8]=>0111000=>56
[5,7,8,3,2,6,1,4]=>1110000=>112
[2,3,4,5,6,9,8,7,1]=>10000011=>131
[2,3,4,5,8,7,9,6,1]=>10000110=>134
[2,3,6,5,7,8,9,4,1]=>10011000=>152
[2,3,4,5,6,7,10,9,8,1]=>100000011=>259
[2,3,4,5,8,9,7,6,1]=>10000110=>134
[2,3,4,5,6,9,8,10,7,1]=>100000110=>262
[8,4,5,1,3,7,6,2]=>1101010=>106
[8,6,4,3,7,1,5,2]=>1111010=>122
[7,5,6,8,1,3,2,4]=>1100100=>100
[6,8,7,5,4,2,3,1]=>1101101=>109
[3,4,5,6,7,1,2,8,9]=>10000000=>128
[2,7,3,1,4,8,6,5]=>1010110=>86
[3,1,6,5,7,8,4,2]=>1101100=>108
[4,7,1,3,2,5,6,8]=>1100000=>96
[4,1,6,7,3,2,8,5]=>1110100=>116
[1,7,2,5,6,8,4,3]=>0111000=>56
[4,7,6,8,3,1,5,2]=>1110010=>114
[5,4,8,6,1,7,3,2]=>1111010=>122
[3,5,4,7,1,8,6,2]=>1101010=>106
[7,1,5,4,2,3,6,8]=>1101000=>104
[7,1,3,6,4,5,2,8]=>1101000=>104
[6,1,3,8,4,5,2,7]=>1101000=>104
[2,1,8,7,3,6,5,4]=>1011101=>93
[5,8,6,3,1,2,7,4]=>1011010=>90
[5,8,2,7,1,3,6,4]=>1101000=>104
[2,6,5,4,1,3,7,8]=>1001100=>76
[4,1,5,7,6,3,2,8]=>1110010=>114
[6,3,4,2,1,8,7,5]=>1110101=>117
[4,5,1,7,6,3,2,8]=>1110010=>114
[5,4,2,1,8,7,3,6]=>1111001=>121
[6,2,1,5,4,3,8,7]=>1111001=>121
[1,4,2,6,7,8,5,3]=>0110100=>52
[1,4,2,5,6,8,7,3]=>0110001=>49
[2,5,3,6,7,8,4,1]=>1011000=>88
[1,8,6,2,4,3,5,7]=>0110010=>50
[3,2,4,5,7,8,1,6]=>1100000=>96
[2,3,4,7,5,8,6,1]=>1000110=>70
[6,5,2,8,7,4,3,1]=>1111101=>125
[7,8,5,4,2,1,6,3]=>1111100=>124
[7,5,2,8,6,4,3,1]=>1111110=>126
[7,8,3,2,6,5,4,1]=>1111100=>124
[8,2,6,3,7,5,1,4]=>1110100=>116
[8,6,7,2,5,3,1,4]=>1110010=>114
[1,6,2,7,8,4,5,3]=>0111000=>56
[8,6,2,7,5,4,1,3]=>1101110=>110
[1,6,8,2,7,5,3,4]=>0110100=>52
[7,6,3,2,8,1,5,4]=>1111010=>122
[5,1,7,4,3,8,6,2]=>1111010=>122
[8,6,3,7,2,4,1,5]=>1110010=>114
[1,7,8,6,4,2,3,5]=>0101010=>42
[7,2,8,6,4,1,3,5]=>1101010=>106
[1,5,3,7,4,2,6,8]=>0111000=>56
[1,7,6,4,3,2,8,5]=>0111110=>62
[1,7,6,3,4,2,5,8]=>0110010=>50
[1,2,7,4,3,8,6,5]=>0011110=>30
[1,5,4,2,3,8,7,6]=>0101011=>43
[1,5,3,2,4,6,7,8]=>0110000=>48
[1,5,4,2,3,7,8,6]=>0101010=>42
[1,2,7,6,3,5,8,4]=>0011010=>26
[8,1,3,2,6,5,7,4]=>1101100=>108
[3,2,7,5,6,1,8,4]=>1101100=>108
[7,5,6,1,3,2,8,4]=>1101100=>108
[7,4,5,1,6,3,8,2]=>1111000=>120
[7,5,6,1,4,3,8,2]=>1110100=>116
[3,2,6,4,8,5,7,1]=>1101100=>108
[8,1,4,3,5,2,7,6]=>1110010=>114
[7,2,8,1,6,3,5,4]=>1111000=>120
[10,5,9,4,8,3,7,2,6,1]=>111110000=>496
[1,3,5,2,4,7,6,9,8,10]=>010001010=>138
[2,3,5,1,4,7,6,9,8]=>10000101=>133
[3,4,1,5,2,7,6,9,8]=>11000101=>197
[4,1,2,5,3,7,6,9,8]=>10100101=>165
[1,4,2,5,3,7,6,9,8,10]=>011001010=>202
[8,3,6,5,4,1,2,7]=>1011100=>92
[1,7,5,8,4,6,3,2]=>0111100=>60
[6,5,7,1,2,8,3,4]=>1010100=>84
[7,1,4,2,3,8,6,5]=>1100110=>102
[3,7,5,6,8,1,2,4]=>1000100=>68
[8,1,2,5,3,7,6,4]=>1011010=>90
[8,6,5,2,4,1,7,3]=>1110110=>118
[3,6,5,2,4,1,7,8]=>1100100=>100
[6,8,5,2,4,3,1,7]=>1110100=>116
[3,4,2,8,6,7,1,5]=>1100010=>98
[4,6,7,2,5,1,8,3]=>1110000=>112
[3,6,2,5,1,7,8,4]=>1101000=>104
[3,4,2,7,8,1,5,6]=>1100000=>96
[3,8,5,2,4,7,1,6]=>1100100=>100
[10,3,1,5,6,7,8,9,2,4]=>111000000=>448
[10,4,1,5,6,7,8,9,2,3]=>110100000=>416
[7,1,4,2,5,8,6,3]=>1110010=>114
[7,8,5,1,2,4,3,6]=>1010100=>84
[5,8,1,4,3,6,7,2]=>1110000=>112
[7,2,3,8,6,4,1,5]=>1101010=>106
[5,2,3,8,7,4,1,6]=>1101001=>105
[5,7,6,3,1,2,4,8]=>1010010=>82
[4,2,6,8,1,3,5,7,9]=>11000000=>192
[4,6,2,8,1,3,5,7,9]=>11000000=>192
[4,6,8,2,1,3,5,7,9]=>11000000=>192
[4,6,2,7,8,1,3,5]=>1100000=>96
[4,6,8,2,9,1,3,5,7]=>11000000=>192
[4,6,2,7,9,1,3,5,8]=>11000000=>192
[6,2,3,7,1,4,5,8]=>1100000=>96
[4,2,5,7,9,1,3,6,8]=>11000000=>192
[2,3,5,7,9,1,4,6,8]=>10000000=>128
[4,2,6,8,10,1,3,5,7,9]=>110000000=>384
[6,4,2,8,1,3,5,7,9]=>11010000=>208
[4,6,2,8,10,1,3,5,7,9]=>110000000=>384
[8,4,6,2,1,3,5,7,9]=>11010000=>208
[4,6,8,2,10,1,3,5,7,9]=>110000000=>384
[4,6,8,9,2,1,3,5,7]=>11000000=>192
[4,6,8,10,2,1,3,5,7,9]=>110000000=>384
[4,6,7,8,2,1,3,5]=>1100000=>96
[4,6,2,7,1,3,5,8,9]=>11000000=>192
[4,6,8,2,9,1,3,5,7,10]=>110000000=>384
[4,8,2,5,9,1,3,6,7]=>11000000=>192
[4,6,2,7,9,1,3,5,8,10]=>110000000=>384
[6,2,3,7,9,1,4,5,8]=>11000000=>192
[4,2,5,7,9,1,3,6,8,10]=>110000000=>384
[1,4,5,7,9,2,3,6,8]=>01000000=>64
[2,3,5,7,9,1,4,6,8,10]=>100000000=>256
[8,6,3,2,1,7,5,4]=>1111110=>126
[5,3,4,1,7,8,2,6]=>1110000=>112
[8,6,4,9,7,5,3,2,1]=>11111110=>254
[7,8,5,9,6,4,3,2,1]=>11111100=>252
[8,6,4,2,9,7,5,3,1]=>11111110=>254
[7,8,5,3,9,6,4,2,1]=>11111100=>252
[7,4,8,5,9,6,3,2,1]=>11111100=>252
[6,7,8,4,9,5,3,2,1]=>11111000=>248
[7,8,5,3,1,9,6,4,2]=>11111100=>252
[7,4,8,5,2,9,6,3,1]=>11111100=>252
[6,7,8,4,2,9,5,3,1]=>11111000=>248
[6,7,3,8,4,9,5,2,1]=>11111000=>248
[5,6,7,8,3,9,4,2,1]=>11110000=>240
[6,7,3,8,4,1,9,5,2]=>11111000=>248
[5,6,7,8,3,1,9,4,2]=>11110000=>240
[6,2,7,3,8,4,9,5,1]=>11111000=>248
[5,6,7,2,8,3,9,4,1]=>11110000=>240
[4,5,6,7,8,2,9,3,1]=>11100000=>224
[5,6,1,7,2,8,3,9,4]=>11110000=>240
[4,5,6,7,1,8,2,9,3]=>11100000=>224
[9,7,10,8,6,5,4,3,2,1]=>111111110=>510
[9,7,5,10,8,6,4,3,2,1]=>111111110=>510
[8,9,6,10,7,5,4,3,2,1]=>111111100=>508
[9,7,5,3,10,8,6,4,2,1]=>111111110=>510
[8,9,6,4,10,7,5,3,2,1]=>111111100=>508
[8,5,9,6,10,7,4,3,2,1]=>111111100=>508
[7,8,9,5,10,6,4,3,2,1]=>111111000=>504
[8,9,6,4,2,10,7,5,3,1]=>111111100=>508
[8,5,9,6,3,10,7,4,2,1]=>111111100=>508
[7,8,9,5,3,10,6,4,2,1]=>111111000=>504
[7,8,4,9,5,10,6,3,2,1]=>111111000=>504
[6,7,8,9,4,10,5,3,2,1]=>111110000=>496
[8,5,9,6,3,1,10,7,4,2]=>111111100=>508
[7,8,9,5,3,1,10,6,4,2]=>111111000=>504
[8,5,2,9,6,3,10,7,4,1]=>111111100=>508
[6,7,8,9,4,2,10,5,3,1]=>111110000=>496
[7,3,8,4,9,5,10,6,2,1]=>111111000=>504
[6,7,8,3,9,4,10,5,2,1]=>111110000=>496
[5,6,7,8,9,3,10,4,2,1]=>111100000=>480
[7,8,4,1,9,5,2,10,6,3]=>111111000=>504
[7,3,8,4,9,5,1,10,6,2]=>111111000=>504
[6,7,8,3,9,4,1,10,5,2]=>111110000=>496
[5,6,7,8,9,3,1,10,4,2]=>111100000=>480
[6,7,2,8,3,9,4,10,5,1]=>111110000=>496
[5,6,7,8,2,9,3,10,4,1]=>111100000=>480
[4,5,6,7,8,9,2,10,3,1]=>111000000=>448
[5,6,7,1,8,2,9,3,10,4]=>111100000=>480
[4,5,6,7,8,1,9,2,10,3]=>111000000=>448
[6,1,3,4,2,5,8,7]=>1100001=>97
[5,1,3,6,2,4,8,7]=>1100001=>97
[1,5,7,6,8,2,4,3]=>0110010=>50
[5,7,1,3,8,4,2,6]=>1101000=>104
[2,6,1,4,3,7,8,5]=>1010100=>84
[1,6,2,4,3,5,8,7]=>0110001=>49
[5,3,7,6,1,8,4,2]=>1111010=>122
[1,5,6,3,7,8,4,2]=>0111000=>56
[1,5,7,6,3,8,4,2]=>0111010=>58
[7,3,5,6,1,8,4,2]=>1111000=>120
[7,3,6,1,5,8,4,2]=>1111000=>120
[1,6,3,7,8,5,4,2]=>0111100=>60
[1,7,8,6,3,5,4,2]=>0111010=>58
[3,7,5,6,1,8,4,2]=>1101100=>108
[5,6,2,8,4,7,3,1]=>1111000=>120
[5,7,6,3,4,8,1,2]=>1010010=>82
[3,7,5,4,6,1,2,8]=>1001100=>76
[5,3,4,7,6,8,1,2]=>1010010=>82
[5,3,7,4,6,1,2,8]=>1011000=>88
[7,3,5,4,6,1,2,8]=>1011000=>88
[7,8,3,5,4,1,2,6]=>1011000=>88
[7,3,5,4,1,2,6,8]=>1011000=>88
[5,7,6,3,4,1,2,8]=>1010010=>82
[3,5,4,1,2,7,6,8]=>1001010=>74
[5,7,6,1,3,2,4,8]=>1100010=>98
[5,3,4,1,2,7,6,8]=>1010010=>82
[7,8,3,1,2,5,4,6]=>1011000=>88
[7,8,5,1,3,2,4,6]=>1100100=>100
[7,5,6,1,3,2,4,8]=>1100100=>100
[7,5,1,3,8,6,2,4]=>1100110=>102
[7,1,3,8,2,5,4,6]=>1101000=>104
[3,1,5,4,7,2,6,8]=>1101000=>104
[5,7,6,1,3,8,2,4]=>1100010=>98
[5,7,6,3,8,1,4,2]=>1110010=>114
[5,1,3,7,6,2,4,8]=>1100010=>98
[1,6,3,7,2,4,5,8]=>0110000=>48
[5,3,2,4,8,1,7,6]=>1110010=>114
[6,8,5,3,2,7,1,4]=>1110100=>116
[8,3,7,2,6,5,1,4]=>1110100=>116
[4,6,2,7,1,3,8,5]=>1100100=>100
[3,4,6,5,1,8,7,2]=>1100101=>101
[8,7,1,5,3,2,6,4]=>1111001=>121
[3,5,1,4,7,2,8,6]=>1100010=>98
[5,1,4,8,7,3,2,6]=>1110001=>113
[6,1,3,4,2,7,8,5]=>1100100=>100
[6,5,2,3,7,8,1,4]=>1100100=>100
[1,5,3,8,4,2,7,6]=>0111010=>58
[5,4,2,1,8,3,7,6]=>1111010=>122
[3,1,7,4,2,6,8,5]=>1101100=>108
[7,4,8,2,3,5,1,6]=>1101000=>104
[8,4,1,3,2,6,7,5]=>1101100=>108
[8,1,7,3,2,5,6,4]=>1111000=>120
[8,6,5,2,7,3,1,4]=>1110110=>118
[3,1,6,8,4,2,7,5]=>1101100=>108
[1,5,2,8,3,6,7,4]=>0111000=>56
[2,3,4,5,9,6,7,8,1]=>10000100=>132
[2,3,4,9,5,6,7,8,1]=>10001000=>136
[2,3,9,4,5,6,7,8,1]=>10010000=>144
[2,3,4,5,6,7,10,8,9,1]=>100000010=>258
[2,3,4,5,9,7,6,8,1]=>10000110=>134
[2,3,4,5,6,10,7,8,9,1]=>100000100=>260
[2,3,4,9,6,5,7,8,1]=>10001100=>140
[2,3,9,5,4,6,7,8,1]=>10011000=>152
[2,3,4,10,5,6,7,8,9,1]=>100010000=>272
[2,9,4,3,5,6,7,8,1]=>10110000=>176
[2,3,10,4,5,6,7,8,9,1]=>100100000=>288
[2,3,4,5,9,7,8,6,1]=>10000110=>134
[5,6,2,3,7,4,1,8]=>1101000=>104
[4,5,1,2,7,8,6,3]=>1010010=>82
[4,6,7,5,1,2,8,3]=>1010100=>84
[2,8,4,6,3,1,5,7]=>1011000=>88
[8,2,6,3,5,1,4,7]=>1110000=>112
[7,8,6,2,4,1,3,5]=>1100010=>98
[5,6,1,8,2,3,7,4]=>1101000=>104
[1,7,8,6,3,4,2,5]=>0110010=>50
[1,7,3,8,6,4,2,5]=>0111010=>58
[5,7,1,8,6,4,2,3]=>1101010=>106
[7,8,1,5,6,4,2,3]=>1101000=>104
[7,1,8,5,6,4,2,3]=>1101100=>108
[7,1,5,8,6,4,2,3]=>1101010=>106
[8,1,3,5,6,4,2,7]=>1101000=>104
[1,3,8,5,6,4,2,7]=>0101100=>44
[1,3,5,8,6,4,2,7]=>0101010=>42
[1,5,7,8,6,4,2,3]=>0101010=>42
[2,1,4,3,6,5,9,8,10,7]=>101010110=>342
[2,1,4,3,7,6,8,5,10,9]=>101011001=>345
[2,1,4,3,7,6,9,8,10,5]=>101011010=>346
[2,1,4,3,8,7,9,6,10,5]=>101011100=>348
[2,1,5,4,6,3,8,7,10,9]=>101100101=>357
[2,1,5,4,6,3,9,8,10,7]=>101100110=>358
[2,1,5,4,7,6,8,3,10,9]=>101101001=>361
[2,1,5,4,7,6,9,8,10,3]=>101101010=>362
[2,1,5,4,8,7,9,6,10,3]=>101101100=>364
[2,1,6,5,7,4,8,3,10,9]=>101110001=>369
[2,1,6,5,7,4,9,8,10,3]=>101110010=>370
[2,1,6,5,8,7,9,4,10,3]=>101110100=>372
[2,1,7,6,8,5,9,4,10,3]=>101111000=>376
[3,2,4,1,6,5,8,7,10,9]=>110010101=>405
[3,2,4,1,6,5,9,8,10,7]=>110010110=>406
[3,2,4,1,7,6,8,5,10,9]=>110011001=>409
[3,2,4,1,7,6,9,8,10,5]=>110011010=>410
[3,2,4,1,8,7,9,6,10,5]=>110011100=>412
[3,2,5,4,6,1,8,7,10,9]=>110100101=>421
[3,2,5,4,6,1,9,8,10,7]=>110100110=>422
[3,2,5,4,7,6,8,1,10,9]=>110101001=>425
[3,2,5,4,7,6,9,8,10,1]=>110101010=>426
[3,2,5,4,8,7,9,6,10,1]=>110101100=>428
[3,2,6,5,7,4,8,1,10,9]=>110110001=>433
[3,2,6,5,7,4,9,8,10,1]=>110110010=>434
[3,2,6,5,8,7,9,4,10,1]=>110110100=>436
[3,2,7,6,8,5,9,4,10,1]=>110111000=>440
[4,3,5,2,6,1,8,7,10,9]=>111000101=>453
[4,3,5,2,6,1,9,8,10,7]=>111000110=>454
[4,3,5,2,7,6,8,1,10,9]=>111001001=>457
[4,3,5,2,7,6,9,8,10,1]=>111001010=>458
[4,3,5,2,8,7,9,6,10,1]=>111001100=>460
[4,3,6,5,7,2,8,1,10,9]=>111010001=>465
[4,3,6,5,7,2,9,8,10,1]=>111010010=>466
[4,3,6,5,8,7,9,2,10,1]=>111010100=>468
[4,3,7,6,8,5,9,2,10,1]=>111011000=>472
[5,4,6,3,7,2,8,1,10,9]=>111100001=>481
[5,4,6,3,7,2,9,8,10,1]=>111100010=>482
[5,4,6,3,8,7,9,2,10,1]=>111100100=>484
[5,4,7,6,8,3,9,2,10,1]=>111101000=>488
[1,8,2,6,5,3,4,7]=>0110100=>52
[8,6,1,5,2,3,4,7]=>1100010=>98
[8,5,1,6,2,3,4,7]=>1100100=>100
[7,6,1,2,3,8,4,5]=>1001010=>74
[2,7,8,4,1,3,5,6]=>1001000=>72
[6,8,1,2,3,7,4,5]=>1001000=>72
[8,1,3,5,6,7,2,4]=>1100000=>96
[8,1,2,5,3,4,7,6]=>1010010=>82
[5,2,7,3,4,8,1,6]=>1110000=>112
[8,6,4,7,3,5,2,1]=>1111010=>122
[4,2,1,6,5,7,8,3]=>1110100=>116
[2,7,5,4,1,3,6,8]=>1001100=>76
[2,7,4,6,5,1,8,3]=>1011100=>92
[6,8,7,5,2,1,4,3]=>1110101=>117
[2,8,6,3,5,1,4,7]=>1010010=>82
[1,2,8,6,4,5,3,7]=>0011010=>26
[1,5,8,7,6,3,4,2]=>0110011=>51
[1,4,7,8,5,6,3,2]=>0110100=>52
[1,6,4,8,5,7,3,2]=>0111100=>60
[1,6,8,5,2,7,3,4]=>0110100=>52
[1,6,8,5,4,2,3,7]=>0101100=>44
[1,3,4,8,5,2,7,6]=>0100110=>38
[2,1,8,3,4,5,6,7,9]=>10100000=>160
[3,5,8,7,6,2,4,1]=>1100011=>99
[6,5,3,7,4,1,8,2]=>1111100=>124
[3,1,5,4,6,8,7,2]=>1101001=>105
[3,1,6,4,2,5,8,7]=>1101001=>105
[3,6,1,4,5,7,8,2]=>1100000=>96
[1,8,4,7,2,3,6,5]=>0101100=>44
[5,7,8,2,4,6,1,3]=>1100000=>96
[5,4,2,3,6,8,1,7]=>1101000=>104
[3,8,1,6,4,2,5,7]=>1101000=>104
[7,3,2,1,8,6,4,5]=>1111010=>122
[8,7,2,4,1,3,6,5]=>1100101=>101
[8,2,6,3,5,7,1,4]=>1110000=>112
[1,8,3,7,4,6,5,2]=>0111100=>60
[8,2,3,1,7,4,5,6]=>1101000=>104
[3,1,7,8,6,2,5,4]=>1101010=>106
[4,8,1,2,6,5,7,3]=>1010100=>84
[5,6,1,8,3,7,2,4]=>1110000=>112
[2,8,1,6,5,3,7,4]=>1011100=>92
[2,1,5,7,6,3,8,4]=>1011010=>90
[4,1,2,5,7,6,8,3]=>1010010=>82
[4,3,5,1,7,8,6,2]=>1110010=>114
[1,8,5,2,3,4,7,6]=>0100110=>38
[1,9,6,2,3,4,5,8,7]=>01000110=>70
[1,5,8,2,3,4,7,6]=>0100010=>34
[1,2,7,8,4,5,6,3]=>0011000=>24
[1,2,3,4,5,6,9,7,10,8]=>000000110=>6
[2,3,4,5,6,9,10,1,7,8]=>100000000=>256
[4,3,8,7,6,2,5,1]=>1110011=>115
[5,4,8,2,7,6,3,1]=>1111010=>122
[2,3,6,1,7,5,8,4]=>1001100=>76
[4,6,5,2,1,7,8,3]=>1110100=>116
[4,6,1,7,5,8,3,2]=>1110100=>116
[4,1,5,7,6,8,3,2]=>1110010=>114
[3,5,6,2,1,4,7,8]=>1100000=>96
[4,3,6,5,1,7,8,2]=>1110100=>116
[4,6,5,3,1,7,8,2]=>1110100=>116
[1,2,3,4,5,7,6,8,9,10]=>000001000=>8
[1,2,3,5,4,6,7,8,9,10]=>000100000=>32
[1,2,3,5,4,7,6,9,8,10]=>000101010=>42
[5,8,1,4,2,3,6,7]=>1100000=>96
[4,5,8,2,3,1,6,7]=>1100000=>96
[3,5,4,8,1,7,2,6]=>1101000=>104
[5,3,6,8,1,4,7,2]=>1110000=>112
[3,5,1,8,6,4,7,2]=>1101010=>106
[4,7,2,8,3,1,6,5]=>1110100=>116
[1,2,5,6,8,3,7,4]=>0011000=>24
[5,3,8,4,6,2,7,1]=>1111000=>120
[7,4,8,1,5,2,6,3]=>1111000=>120
[8,3,2,1,6,5,7,4]=>1111100=>124
[4,1,5,6,8,7,2,3]=>1100001=>97
[1,2,5,6,8,4,7,3]=>0011000=>24
[1,5,6,8,4,7,2,3]=>0101000=>40
[5,6,8,1,2,4,7,3]=>1010000=>80
[6,8,1,4,5,7,2,3]=>1100000=>96
[4,3,5,1,8,6,7,2]=>1110010=>114
[1,3,5,6,8,4,7,2]=>0101000=>40
[5,6,8,2,3,4,7,1]=>1100000=>96
[9,8,7,4,5,6,3,2,1]=>11110011=>243
[6,5,1,2,4,8,7,3]=>1010101=>85
[5,8,7,2,1,3,6,4]=>1101001=>105
[5,1,7,2,8,6,3,4]=>1110010=>114
[6,1,5,3,4,8,7,2]=>1110001=>113
[5,8,6,3,2,1,4,7]=>1110010=>114
[8,7,1,6,3,5,4,2]=>1111001=>121
[3,2,1,7,8,6,4,5]=>1101010=>106
[8,6,7,1,2,5,3,4]=>1010010=>82
[1,5,6,4,2,8,7,3]=>0111001=>57
[7,5,1,4,8,2,3,6]=>1100100=>100
[3,2,8,1,7,5,6,4]=>1101100=>108
[8,4,3,1,7,5,6,2]=>1111100=>124
[6,1,7,8,4,2,3,5]=>1101000=>104
[7,4,3,1,8,5,2,6]=>1111100=>124
[7,8,1,6,3,4,5,2]=>1110000=>112
[6,8,1,7,3,4,2,5]=>1110000=>112
[1,5,6,7,8,9,2,3,4]=>01000000=>64
[1,8,9,10,2,3,4,5,6,7]=>010000000=>128
[1,7,2,8,9,3,4,5,6]=>01100000=>96
[1,6,2,7,8,9,3,4,5]=>01100000=>96
[1,5,2,6,7,8,9,3,4]=>01100000=>96
[1,5,6,7,8,9,10,2,3,4]=>010000000=>128
[3,4,2,1,5,6,7,8,9]=>11000000=>192
[4,3,1,2,5,6,7,8,9]=>10100000=>160
[3,4,2,1,5,6,7,8,9,10]=>110000000=>384
[4,5,2,1,3,6,7,8,9]=>11000000=>192
[3,4,2,5,1,6,7,8,9]=>11000000=>192
[5,3,1,2,4,6,7,8,9]=>10100000=>160
[4,3,5,1,2,6,7,8,9]=>10100000=>160
[4,3,1,2,5,6,7,8,9,10]=>101000000=>320
[4,6,5,3,8,2,7,1]=>1110100=>116
[4,5,6,3,8,1,7,2]=>1110000=>112
[7,8,3,5,2,1,6,4]=>1111000=>120
[6,3,7,5,2,4,1,8]=>1110100=>116
[6,2,4,5,7,3,1,8]=>1110000=>112
[7,8,1,5,6,4,3,2]=>1111000=>120
[6,3,7,5,1,4,2,8]=>1110100=>116
[1,3,8,2,4,6,7,5]=>0100100=>36
[6,1,7,3,4,2,5,8]=>1110000=>112
[3,1,7,2,5,8,6,4]=>1101010=>106
[2,8,7,6,3,5,1,4]=>1010011=>83
[2,8,7,1,5,6,4,3]=>1011001=>89
[3,5,6,2,8,1,7,4]=>1101000=>104
[5,3,1,8,6,2,7,4]=>1111010=>122
[3,1,4,6,8,2,7,5]=>1100100=>100
[4,1,5,7,3,8,2,6]=>1110000=>112
[6,2,5,8,4,7,3,1]=>1111000=>120
[7,2,8,5,4,3,6,1]=>1111100=>124
[7,1,6,8,2,5,3,4]=>1110000=>112
[2,6,5,7,8,4,1,3]=>1001100=>76
[3,6,5,7,4,1,8,2]=>1101100=>108
[1,6,5,7,4,2,3,8]=>0101100=>44
[3,4,7,5,2,1,8,6]=>1100110=>102
[3,6,7,5,8,4,1,2]=>1001100=>76
[3,4,7,2,5,6,8,1]=>1100000=>96
[2,5,3,7,8,6,4,1]=>1011010=>90
[7,2,8,4,5,6,3,1]=>1111000=>120
[6,2,3,8,5,4,7,1]=>1101100=>108
[5,4,3,1,2,6,7,8,9]=>10110000=>176
[6,5,4,3,1,2,7,8,9]=>10111000=>184
[8,5,4,3,9,1,2,6,7]=>10111000=>184
[6,5,4,3,1,2,7,8,9,10]=>101110000=>368
[7,6,5,4,3,1,2,8,9,10]=>101111000=>376
[9,6,5,4,3,10,1,2,7,8]=>101111000=>376
[6,8,7,3,2,4,5,1]=>1110001=>113
[3,8,6,1,4,5,7,2]=>1100010=>98
[7,5,8,6,4,1,3,2]=>1101110=>110
[2,7,6,3,8,5,1,4]=>1010110=>86
[2,3,1,8,4,6,5,7]=>1001100=>76
[2,3,1,7,6,8,4,5]=>1001010=>74
[2,3,1,8,4,6,7,5]=>1001100=>76
[6,2,3,4,5,1,9,7,8]=>11000010=>194
[2,3,4,5,9,7,1,8,6]=>10000110=>134
[2,3,4,9,6,7,1,8,5]=>10001100=>140
[2,3,9,5,6,1,7,8,4]=>10011000=>152
[2,3,9,5,1,7,4,8,6]=>10011100=>156
[2,3,4,5,6,7,10,9,1,8]=>100000001=>257
[2,3,4,5,6,10,8,9,1,7]=>100000010=>258
[2,3,4,5,6,10,8,1,9,7]=>100000110=>262
[2,3,4,5,6,10,8,1,7,9]=>100000010=>258
[2,3,4,5,6,10,1,7,8,9]=>100000000=>256
[2,3,4,5,10,7,8,9,1,6]=>100000100=>260
[2,3,4,5,10,7,8,1,9,6]=>100001100=>268
[2,3,4,5,10,7,8,1,6,9]=>100000100=>260
[2,3,4,5,10,7,1,9,6,8]=>100001100=>268
[2,3,4,5,10,7,1,6,8,9]=>100000100=>260
[2,3,4,5,10,1,6,7,8,9]=>100000000=>256
[2,3,4,10,6,7,8,1,9,5]=>100011000=>280
[2,3,4,10,6,7,8,1,5,9]=>100001000=>264
[2,3,4,10,6,7,1,8,9,5]=>100011000=>280
[2,3,4,10,6,7,1,9,5,8]=>100011000=>280
[2,3,4,10,6,7,1,5,8,9]=>100001000=>264
[2,3,4,10,6,1,8,5,9,7]=>100011100=>284
[2,3,4,10,6,1,8,5,7,9]=>100011000=>280
[2,3,4,10,6,1,5,7,8,9]=>100001000=>264
[2,3,4,10,1,5,6,7,8,9]=>100000000=>256
[2,3,10,5,6,1,8,9,4,7]=>100110000=>304
[2,3,10,5,6,1,8,4,9,7]=>100110100=>308
[2,3,10,5,6,1,8,4,7,9]=>100110000=>304
[2,3,10,5,6,1,4,7,8,9]=>100010000=>272
[2,3,10,5,1,7,4,9,6,8]=>100111000=>312
[2,3,10,5,1,7,4,6,8,9]=>100110000=>304
[2,3,10,5,1,4,6,7,8,9]=>100010000=>272
[2,10,4,1,6,3,8,5,9,7]=>101110100=>372
[2,10,4,1,6,3,8,5,7,9]=>101110000=>368
[2,10,4,1,6,3,5,7,8,9]=>101100000=>352
[2,10,4,1,3,5,6,7,8,9]=>100100000=>288
[5,8,7,2,6,4,1,3]=>1101001=>105
[6,8,5,1,7,4,3,2]=>1111100=>124
[6,8,5,2,7,4,1,3]=>1101100=>108
[7,3,8,6,5,2,1,4]=>1110110=>118
[7,5,8,1,6,4,3,2]=>1111100=>124
[7,5,8,2,6,4,1,3]=>1101100=>108
[6,3,2,8,1,7,5,4]=>1111100=>124
[2,1,3,4,5,6,8,7,9]=>10000010=>130
[2,3,4,5,6,8,7,9,1]=>10000010=>130
[2,6,8,7,1,3,5,4]=>1001001=>73
[5,3,8,7,6,2,1,4]=>1110011=>115
[3,7,6,1,4,5,2,8]=>1100010=>98
[4,1,6,2,7,5,3,8]=>1110100=>116
[7,6,2,5,3,1,4,8]=>1110010=>114
[4,3,1,7,6,2,5,8]=>1110010=>114
[4,5,3,1,2,8,6,7]=>1010010=>82
[2,4,5,3,1,8,6,7]=>1010010=>82
[5,7,6,2,3,1,4,8]=>1100010=>98
[4,1,3,7,5,2,6,8]=>1100100=>100
[4,1,6,3,2,7,5,8]=>1110100=>116
[7,5,4,1,3,2,6,8]=>1101100=>108
[2,4,8,5,6,3,1,7]=>1010100=>84
[2,5,7,4,1,3,6,8]=>1001000=>72
[5,7,4,1,3,2,6,8]=>1101000=>104
[2,6,8,4,5,3,1,7]=>1011000=>88
[5,2,3,7,4,1,6,8]=>1101000=>104
[4,5,1,6,3,2,7,8]=>1110000=>112
[5,1,6,3,2,4,7,8]=>1110000=>112
[4,2,5,1,6,3,7,8]=>1110000=>112
[5,1,6,2,4,3,7,8]=>1110000=>112
[5,3,4,8,7,6,2,1]=>1110011=>115
[8,3,1,6,7,5,4,2]=>1111100=>124
[8,4,6,5,7,2,3,1]=>1101100=>108
[1,8,2,6,7,4,5,3]=>0111000=>56
[8,5,7,2,4,3,6,1]=>1110100=>116
[8,5,3,6,4,7,2,1]=>1111100=>124
[8,2,5,3,6,7,4,1]=>1111000=>120
[1,2,8,3,4,7,6,5]=>0010110=>22
[6,8,5,2,7,1,3,4]=>1100100=>100
[7,6,4,5,2,1,8,3]=>1111010=>122
[8,2,4,7,6,3,1,5]=>1110010=>114
[8,7,5,1,4,6,3,2]=>1110101=>117
[7,3,8,5,4,2,1,6]=>1111100=>124
[6,3,4,7,2,8,5,1]=>1110100=>116
[8,1,7,3,6,4,2,5]=>1111000=>120
[7,1,8,5,3,4,2,6]=>1110100=>116
[6,8,4,3,1,5,2,7]=>1111000=>120
[1,4,5,8,3,2,6,7]=>0110000=>48
[1,5,2,4,7,8,6,3]=>0110010=>50
[5,2,7,4,3,8,6,1]=>1111010=>122
[2,7,3,4,8,5,6,1]=>1010100=>84
[2,7,6,8,3,5,4,1]=>1011010=>90
[2,7,4,5,3,8,6,1]=>1011010=>90
[6,2,3,7,4,5,8,1]=>1101000=>104
[1,6,3,2,7,5,8,4]=>0111100=>60
[7,3,5,2,6,8,1,4]=>1110000=>112
[6,4,2,7,1,5,8,3]=>1111000=>120
[2,5,3,6,4,7,8,1]=>1011000=>88
[4,2,5,3,6,7,8,1]=>1110000=>112
[1,6,5,2,4,7,3,8]=>0110100=>52
[1,8,7,2,4,6,3,5]=>0110001=>49
[1,8,7,2,5,4,3,6]=>0111001=>57
[1,5,4,2,7,3,6,8]=>0111000=>56
[1,5,4,2,8,7,3,6]=>0111001=>57
[1,6,8,3,5,2,4,7]=>0110000=>48
[1,7,6,2,3,5,8,4]=>0101010=>42
[1,2,8,3,6,5,4,7]=>0011100=>28
[1,3,8,6,5,2,4,7]=>0100110=>38
[1,4,7,3,2,8,6,5]=>0110110=>54
[1,8,6,5,2,4,7,3]=>0110110=>54
[1,6,8,4,3,2,5,7]=>0111000=>56
[1,7,5,3,2,6,4,8]=>0111100=>60
[1,2,6,5,3,8,4,7]=>0011100=>28
[1,7,3,2,8,4,6,5]=>0111100=>60
[1,6,5,2,8,4,7,3]=>0111100=>60
[1,8,3,7,2,4,6,5]=>0110100=>52
[5,4,2,8,7,6,1,3]=>1101011=>107
[8,6,3,2,5,7,4,1]=>1111010=>122
[7,3,2,1,6,5,8,4]=>1111100=>124
[7,3,2,6,1,5,8,4]=>1111000=>120
[6,8,5,2,7,1,4,3]=>1110100=>116
[6,8,2,5,1,7,4,3]=>1111000=>120
[6,8,5,7,2,1,4,3]=>1110100=>116
[6,5,8,2,7,4,1,3]=>1101100=>108
[6,2,1,7,5,8,4,3]=>1111100=>124
[1,6,4,8,5,3,7,2]=>0111100=>60
[1,6,5,3,4,7,8,2]=>0110100=>52
[4,2,6,7,8,1,3,5]=>1100000=>96
[4,6,5,1,3,7,8,2]=>1100100=>100
[5,1,7,2,6,4,8,3]=>1111000=>120
[4,1,7,6,5,8,2,3]=>1100110=>102
[5,2,1,7,6,4,8,3]=>1111010=>122
[4,2,3,6,7,8,1,5]=>1100000=>96
[4,7,2,1,6,5,8,3]=>1110100=>116
[2,7,6,4,1,5,8,3]=>1011010=>90
[2,4,3,6,7,8,1,5]=>1010000=>80
[6,8,5,2,7,3,1,4]=>1110100=>116
[7,5,2,4,1,8,3,6]=>1110100=>116
[6,5,1,3,7,8,2,4]=>1100100=>100
[7,2,1,4,3,5,8,6]=>1110010=>114
[6,1,2,4,3,7,8,5]=>1010100=>84
[8,1,5,4,2,3,6,7]=>1101000=>104
[7,1,2,4,6,3,8,5]=>1010100=>84
[7,1,2,6,5,3,8,4]=>1011100=>92
[7,5,6,1,2,4,8,3]=>1010100=>84
[7,1,4,5,2,3,6,8]=>1100000=>96
[6,1,4,8,7,2,3,5]=>1100001=>97
[6,1,8,5,7,2,3,4]=>1100100=>100
[1,6,7,5,8,3,4,2]=>0110100=>52
[6,1,7,5,8,2,3,4]=>1100100=>100
[6,1,4,7,8,2,3,5]=>1100000=>96
[8,1,2,3,7,5,4,6]=>1001100=>76
[5,8,6,1,2,4,7,3]=>1010010=>82
[1,6,8,7,5,3,4,2]=>0110101=>53
[6,1,8,7,5,2,3,4]=>1100101=>101
[8,3,1,2,4,6,5,7]=>1010100=>84
[8,3,1,2,4,5,7,6]=>1010010=>82
[6,3,1,2,4,7,5,8]=>1010100=>84
[6,7,1,4,2,3,5,8]=>1100000=>96
[6,1,7,4,8,2,3,5]=>1101000=>104
[6,7,8,5,1,2,4,3]=>1010100=>84
[8,6,5,4,3,2,7,9,1]=>11111100=>252
[8,9,5,4,3,2,1,6,7]=>11111000=>248
[7,6,5,4,3,8,9,1,2]=>10111100=>188
[9,6,5,4,3,2,7,1,8]=>11111100=>252
[8,7,6,5,4,3,2,9,1,10]=>111111100=>508
[9,2,3,4,5,6,1,7,8]=>11000000=>192
[3,1,5,6,7,8,9,2,4]=>11000000=>192
[2,1,3,5,6,7,8,9,4]=>10010000=>144
[4,3,8,5,6,2,7,1]=>1110100=>116
[7,4,6,1,5,3,8,2]=>1111000=>120
[6,3,8,1,7,2,5,4]=>1111000=>120
[6,2,5,4,7,1,8,3]=>1111000=>120
[2,6,3,4,8,7,5,1]=>1010101=>85
[2,7,4,5,1,8,3,6]=>1011000=>88
[8,4,5,7,6,1,2,3]=>1001010=>74
[8,4,5,7,1,3,6,2]=>1101000=>104
[8,1,3,4,6,7,5,2]=>1100100=>100
[8,7,6,2,3,5,4,1]=>1101011=>107
[8,3,6,7,5,1,2,4]=>1010100=>84
[8,2,1,6,5,7,4,3]=>1111100=>124
[2,7,1,8,5,6,4,3]=>1011100=>92
[2,7,8,6,1,5,3,4]=>1010010=>82
[4,6,8,2,3,5,1,7]=>1100000=>96
[6,8,2,1,3,5,4,7]=>1101000=>104
[3,5,1,6,4,8,2,7]=>1101000=>104
[3,5,8,6,2,1,4,7]=>1100010=>98
[2,4,8,5,6,1,3,7]=>1000100=>68
[4,8,2,5,6,1,3,7]=>1100000=>96
[5,3,8,4,2,7,6,1]=>1111010=>122
[2,8,5,3,1,4,7,6]=>1010110=>86
[1,7,8,4,6,3,2,5]=>0111000=>56
[8,7,2,4,6,3,1,5]=>1110001=>113
[8,7,3,2,1,6,4,5]=>1111001=>121
[7,8,3,4,6,5,2,1]=>1110100=>116
[8,7,3,6,5,2,4,1]=>1110101=>117
[3,1,2,8,6,5,7,4]=>1001110=>78
[3,8,2,7,5,4,6,1]=>1101100=>108
[8,7,1,4,5,3,6,2]=>1110001=>113
[2,8,7,4,6,3,5,1]=>1011001=>89
[2,8,7,4,6,3,1,5]=>1011001=>89
[8,3,4,1,2,5,7,6]=>1010010=>82
[8,4,1,3,2,5,7,6]=>1101010=>106
[7,3,8,6,2,1,4,5]=>1110010=>114
[7,2,8,4,6,5,1,3]=>1101100=>108
[5,8,6,4,7,2,3,1]=>1101010=>106
[4,7,2,6,5,8,3,1]=>1110100=>116
[3,6,8,5,7,4,2,1]=>1101100=>108
[6,7,5,2,4,8,3,1]=>1110100=>116
[8,1,2,7,5,6,3,4]=>1010100=>84
[8,2,7,3,4,6,1,5]=>1110000=>112
[6,7,5,4,8,1,3,2]=>1101100=>108
[8,3,5,6,4,7,2,1]=>1111000=>120
[8,5,6,2,4,3,7,1]=>1110100=>116
[6,5,8,1,3,4,2,7]=>1100100=>100
[6,8,4,5,1,3,2,7]=>1101000=>104
[6,4,8,7,5,3,2,1]=>1111101=>125
[6,7,1,4,3,2,8,5]=>1110100=>116
[7,2,5,1,4,8,3,6]=>1110000=>112
[5,8,1,3,4,2,7,6]=>1100010=>98
[1,5,6,3,2,8,7,4]=>0111001=>57
[1,3,7,6,8,4,2,5]=>0101010=>42
[1,6,7,3,2,8,5,4]=>0111100=>60
[3,2,7,6,8,4,5,1]=>1101010=>106
[1,3,8,5,2,7,6,4]=>0101110=>46
[6,4,1,5,2,8,7,3]=>1111001=>121
[7,6,5,3,1,8,2,4]=>1110110=>118
[2,5,1,4,7,3,6,8]=>1010000=>80
[3,1,6,5,7,2,4,8]=>1100100=>100
[2,6,1,5,7,4,8,3]=>1011000=>88
[2,5,7,1,6,3,8,4]=>1011000=>88
[2,6,1,5,7,4,3,8]=>1011000=>88
[3,1,6,5,2,4,7,8]=>1100100=>100
[3,6,5,1,4,2,7,8]=>1100100=>100
[3,6,5,1,7,2,4,8]=>1100100=>100
[3,6,5,2,1,4,7,8]=>1100100=>100
[5,4,3,6,1,7,2,8]=>1111000=>120
[4,5,2,7,6,1,3,8]=>1100010=>98
[4,6,5,3,1,2,7,8]=>1010100=>84
[5,4,1,6,3,7,2,8]=>1111000=>120
[5,4,2,6,3,7,8,1]=>1111000=>120
[3,6,5,7,1,4,2,8]=>1100100=>100
[3,6,5,1,4,7,2,8]=>1100100=>100
[4,3,6,5,7,1,2,8]=>1010100=>84
[4,2,6,5,1,3,7,8]=>1100100=>100
[4,1,6,5,3,7,8,2]=>1110100=>116
[4,2,5,7,6,1,3,8]=>1100010=>98
[3,4,7,6,1,2,5,8]=>1000010=>66
[4,2,5,7,6,3,8,1]=>1110010=>114
[4,1,6,5,2,7,3,8]=>1110100=>116
[3,6,5,7,2,1,4,8]=>1100100=>100
[3,5,7,6,2,4,1,8]=>1100010=>98
[5,4,2,6,3,7,1,8]=>1111000=>120
[4,6,5,2,7,3,1,8]=>1110100=>116
[4,6,5,2,1,7,3,8]=>1110100=>116
[3,5,8,2,1,4,6,7]=>1100000=>96
[3,5,8,2,4,6,7,1]=>1100000=>96
[5,3,8,2,1,4,6,7]=>1110000=>112
[5,3,1,8,2,4,6,7]=>1110000=>112
[5,1,3,8,2,4,6,7]=>1100000=>96
[1,5,8,4,2,3,6,7]=>0101000=>40
[5,8,2,1,4,3,6,7]=>1110000=>112
[5,8,2,4,1,6,7,3]=>1110000=>112
[5,8,2,4,6,3,1,7]=>1110000=>112
[5,8,2,4,3,6,1,7]=>1110000=>112
[5,8,1,4,6,2,3,7]=>1100000=>96
[1,5,8,4,6,7,2,3]=>0101000=>40
[5,1,8,4,6,7,2,3]=>1101000=>104
[5,8,2,4,6,3,7,1]=>1110000=>112
[3,8,4,6,7,2,1,5]=>1101000=>104
[3,8,4,6,7,2,5,1]=>1101000=>104
[8,4,3,6,7,2,5,1]=>1111000=>120
[8,4,3,6,7,2,1,5]=>1111000=>120
[8,6,2,4,5,3,7,1]=>1110010=>114
[1,8,6,4,5,7,2,3]=>0101010=>42
[8,6,2,4,5,3,1,7]=>1110010=>114
[1,8,6,4,2,3,5,7]=>0101010=>42
[3,8,1,6,2,4,5,7]=>1100000=>96
[3,8,6,2,1,4,5,7]=>1100010=>98
[3,8,6,2,4,1,5,7]=>1100010=>98
[3,8,6,2,4,5,7,1]=>1100010=>98
[8,3,6,2,4,5,1,7]=>1110000=>112
[8,1,3,6,2,4,5,7]=>1100000=>96
[8,3,6,7,2,1,4,5]=>1110000=>112
[3,8,6,7,2,1,4,5]=>1100010=>98
[8,2,6,4,5,1,7,3]=>1111000=>120
[1,8,4,6,7,5,2,3]=>0101100=>44
[8,4,6,2,3,7,5,1]=>1101100=>108
[8,4,7,2,1,3,6,5]=>1101100=>108
[2,7,1,6,3,5,8,4]=>1011000=>88
[8,4,2,1,5,3,7,6]=>1111010=>122
[8,2,1,4,7,3,6,5]=>1110100=>116
[1,6,2,5,8,4,7,3]=>0111000=>56
[3,2,1,7,4,5,8,6]=>1101010=>106
[2,6,8,5,1,7,4,3]=>1011100=>92
[2,1,5,8,7,3,6,4]=>1011001=>89
[3,2,1,6,7,4,8,5]=>1101100=>108
[4,3,1,7,8,5,2,6]=>1110100=>116
[5,6,8,2,4,3,7,1]=>1110000=>112
[2,8,5,3,6,4,7,1]=>1011100=>92
[1,2,8,6,4,7,3,5]=>0011010=>26
[5,3,2,7,8,6,4,1]=>1111010=>122
[4,2,7,8,3,5,6,1]=>1110000=>112
[2,8,3,7,1,4,6,5]=>1010100=>84
[2,8,7,1,5,3,6,4]=>1011001=>89
[7,3,5,6,4,2,8,1]=>1111000=>120
[3,8,4,2,7,6,5,1]=>1101110=>110
[4,8,3,2,7,5,6,1]=>1110100=>116
[3,2,4,8,7,5,6,1]=>1100101=>101
[2,6,8,1,5,3,4,7]=>1010000=>80
[3,2,5,6,8,1,4,7]=>1100000=>96
[3,8,1,6,4,5,2,7]=>1101000=>104
[8,1,3,6,5,4,2,7]=>1101100=>108
[7,4,3,6,2,1,8,5]=>1111100=>124
[1,2,4,8,6,3,7,5]=>0010110=>22
[7,2,1,5,3,4,8,6]=>1110010=>114
[5,7,2,3,1,4,8,6]=>1100010=>98
[7,1,5,2,4,6,8,3]=>1110000=>112
[8,4,2,7,3,5,6,1]=>1111000=>120
[1,8,6,4,7,5,3,2]=>0111110=>62
[7,4,1,5,8,6,3,2]=>1111010=>122
[4,5,8,7,3,1,2,6]=>1010001=>81
[1,3,8,7,6,4,2,5]=>0101011=>43
[2,8,5,1,7,4,6,3]=>1011100=>92
[1,8,6,4,7,5,2,3]=>0101110=>46
[2,7,4,6,3,8,5,1]=>1011100=>92
[1,2,8,6,4,7,5,3]=>0011110=>30
[3,4,5,6,7,9,1,2,8]=>10000000=>128
[3,4,5,7,8,9,1,2,6]=>10000000=>128
[3,5,6,7,8,9,1,2,4]=>10000000=>128
[3,4,5,6,8,9,10,1,2,7]=>100000000=>256
[3,5,6,7,8,9,10,1,2,4]=>100000000=>256
[3,4,5,6,7,8,1,2,9,10]=>100000000=>256
[3,4,5,6,9,1,2,7,8]=>10000000=>128
[3,4,5,6,1,2,7,8,9]=>10000000=>128
[5,1,6,7,8,9,2,3,4]=>11000000=>192
[4,1,8,6,3,7,5,2]=>1110110=>118
[8,4,3,1,6,2,5,7]=>1111000=>120
[7,5,4,3,8,1,6,2]=>1111100=>124
[3,5,4,1,7,8,2,6]=>1101000=>104
[6,4,2,1,5,7,3,8]=>1111000=>120
[3,1,5,8,7,2,4,6]=>1100001=>97
[3,2,5,7,8,4,6,1]=>1101000=>104
[5,3,7,4,2,6,8,1]=>1111000=>120
[5,3,7,4,2,6,1,8]=>1111000=>120
[5,3,8,4,2,1,6,7]=>1111000=>120
[5,2,8,4,3,1,6,7]=>1111000=>120
[5,1,8,4,3,2,6,7]=>1111000=>120
[5,2,7,4,3,6,1,8]=>1111000=>120
[5,2,7,4,3,6,8,1]=>1111000=>120
[5,3,7,4,1,6,8,2]=>1111000=>120
[3,1,5,7,8,4,6,2]=>1101000=>104
[3,1,5,7,8,4,2,6]=>1101000=>104
[5,2,7,4,1,3,8,6]=>1101010=>106
[6,2,3,7,4,8,5,1]=>1101100=>108
[6,2,3,7,4,8,1,5]=>1101000=>104
[6,2,3,7,4,5,1,8]=>1101000=>104
[6,1,3,7,4,5,8,2]=>1101000=>104
[1,2,8,6,4,3,5,7]=>0011010=>26
[6,1,3,7,4,5,2,8]=>1101000=>104
[1,8,6,3,5,4,2,7]=>0111010=>58
[2,6,1,8,5,3,4,7]=>1010100=>84
[4,5,7,8,1,6,3,2]=>1110000=>112
[2,5,7,8,4,6,3,1]=>1011000=>88
[1,8,2,7,5,3,4,6]=>0110100=>52
[2,5,4,1,8,6,7,3]=>1011010=>90
[5,6,8,3,4,2,7,1]=>1110000=>112
[4,1,5,3,8,6,7,2]=>1110010=>114
[7,3,5,1,4,8,6,2]=>1110010=>114
[7,1,3,2,4,5,6,8]=>1100000=>96
[3,8,7,1,4,2,5,6]=>1100001=>97
[5,1,7,8,2,4,3,6]=>1110000=>112
[8,5,4,6,1,7,3,2]=>1111100=>124
[5,3,2,1,4,6,8,7]=>1110001=>113
[5,3,2,4,8,1,6,7]=>1110000=>112
[5,3,2,4,7,1,8,6]=>1110010=>114
[8,4,5,3,7,1,2,6]=>1011000=>88
[4,8,1,7,3,5,6,2]=>1110000=>112
[5,3,2,4,6,8,1,7]=>1110000=>112
[1,2,5,6,7,3,8,9,4]=>00110000=>48
[1,2,4,3,5,7,8,9,6]=>00100100=>36
[2,7,6,3,1,4,8,5]=>1010110=>86
[3,7,4,5,6,8,2,1]=>1101000=>104
[8,7,1,4,2,5,3,6]=>1110001=>113
[4,6,8,3,7,1,5,2]=>1110000=>112
[4,7,3,5,8,1,6,2]=>1110000=>112
[8,4,3,5,7,1,6,2]=>1111000=>120
[1,7,6,4,2,5,3,8]=>0111010=>58
[7,6,4,2,8,3,1,5]=>1111010=>122
[8,5,2,4,3,7,1,6]=>1110100=>116
[8,5,1,4,3,7,6,2]=>1110110=>118
[7,5,4,1,3,6,8,2]=>1101100=>108
[3,6,7,2,5,1,8,4]=>1101000=>104
[2,6,5,7,1,4,8,3]=>1010100=>84
[3,5,1,7,8,4,6,2]=>1101000=>104
[1,5,2,4,6,8,7,3]=>0110001=>49
[8,1,2,4,7,6,5,3]=>1010110=>86
[3,4,1,8,6,7,5,2]=>1100110=>102
[4,3,8,5,1,7,6,2]=>1110110=>118
[6,1,3,2,8,5,7,4]=>1101100=>108
[3,1,2,4,5,6,7,9,8]=>10000001=>129
[8,5,3,2,4,7,1,6]=>1110100=>116
[6,7,4,2,5,8,3,1]=>1111000=>120
[8,5,4,2,6,3,1,7]=>1111100=>124
[8,5,2,1,6,4,3,7]=>1111100=>124
[8,4,6,5,1,3,2,7]=>1101100=>108
[1,3,8,4,7,5,2,6]=>0101100=>44
[5,3,7,1,4,6,8,2]=>1110000=>112
[5,7,2,6,1,4,8,3]=>1110000=>112
[3,8,5,7,6,1,2,4]=>1000110=>70
[8,4,7,5,2,1,3,6]=>1101100=>108
[3,8,6,4,7,2,1,5]=>1101010=>106
[5,2,7,4,6,8,3,1]=>1111000=>120
[4,8,6,3,7,2,1,5]=>1110010=>114
[2,8,3,1,7,6,4,5]=>1011010=>90
[2,5,6,4,8,1,7,3]=>1011000=>88
[5,7,2,1,6,8,3,4]=>1110000=>112
[4,7,8,5,1,6,2,3]=>1100100=>100
[4,5,2,1,6,7,8,3]=>1110000=>112
[4,5,6,3,1,7,8,2]=>1110000=>112
[3,5,6,7,4,1,8,2]=>1101000=>104
[3,5,1,4,2,8,7,6]=>1100011=>99
[3,5,1,4,2,6,8,7]=>1100001=>97
[3,5,1,4,2,6,7,8]=>1100000=>96
[1,3,8,4,6,2,5,7]=>0101000=>40
[1,8,4,2,3,7,5,6]=>0101100=>44
[1,4,8,3,2,7,6,5]=>0110110=>54
[1,3,7,6,5,2,4,8]=>0100110=>38
[1,2,8,6,7,5,4,3]=>0011110=>30
[1,7,5,4,3,2,6,8]=>0111100=>60
[8,9,10,1,5,6,7,3,4,2]=>111000000=>448
[8,9,10,5,6,7,1,3,4,2]=>110010000=>400
[8,9,10,1,5,6,3,4,7,2]=>111000000=>448
[8,9,10,5,6,1,3,4,7,2]=>110010000=>400
[8,9,10,5,6,3,4,7,1,2]=>101010000=>336
[8,9,5,6,10,1,3,4,7,2]=>110010000=>400
[8,9,5,6,10,3,4,7,1,2]=>101010000=>336
[8,9,10,1,5,6,7,3,2,4]=>111000000=>448
[8,9,10,5,6,7,1,3,2,4]=>110010000=>400
[8,9,10,1,5,6,3,7,2,4]=>111000000=>448
[8,9,10,5,6,1,3,7,2,4]=>110010000=>400
[8,9,10,5,6,3,7,1,2,4]=>101010000=>336
[8,9,5,6,10,1,3,7,2,4]=>110010000=>400
[8,9,5,6,10,3,7,1,2,4]=>101010000=>336
[8,9,10,1,5,6,3,2,4,7]=>111000000=>448
[8,9,10,5,6,1,3,2,4,7]=>110010000=>400
[8,9,10,5,6,3,1,2,4,7]=>101010000=>336
[8,9,10,5,6,3,2,4,7,1]=>111010000=>464
[8,9,5,6,10,1,3,2,4,7]=>110010000=>400
[8,9,5,6,10,3,1,2,4,7]=>101010000=>336
[8,9,5,6,10,3,2,4,7,1]=>111010000=>464
[8,9,10,1,5,3,6,7,2,4]=>111000000=>448
[8,9,10,5,1,3,6,7,2,4]=>110010000=>400
[8,9,10,5,3,6,7,1,2,4]=>101010000=>336
[8,9,5,10,1,3,6,7,2,4]=>110010000=>400
[8,9,5,10,3,6,7,1,2,4]=>101010000=>336
[8,9,10,1,5,3,6,2,4,7]=>111000000=>448
[8,9,10,5,1,3,6,2,4,7]=>110010000=>400
[8,9,10,5,3,6,1,2,4,7]=>101010000=>336
[8,9,10,5,3,6,2,4,7,1]=>111010000=>464
[8,9,5,10,1,3,6,2,4,7]=>110010000=>400
[8,9,5,10,3,6,1,2,4,7]=>101010000=>336
[8,9,5,10,3,6,2,4,7,1]=>111010000=>464
[8,9,5,3,6,10,1,2,4,7]=>101010000=>336
[8,9,5,3,6,10,2,4,7,1]=>111010000=>464
[8,5,9,10,1,3,6,7,2,4]=>110010000=>400
[8,5,9,10,3,6,7,1,2,4]=>101010000=>336
[8,5,9,10,1,3,6,2,4,7]=>110010000=>400
[8,5,9,10,3,6,1,2,4,7]=>101010000=>336
[8,5,9,10,3,6,2,4,7,1]=>111010000=>464
[3,8,5,7,4,6,2,1]=>1101100=>108
[4,2,5,7,8,6,3,1]=>1110010=>114
[6,7,2,4,5,1,8,3]=>1110000=>112
[5,2,7,8,3,6,1,4]=>1110000=>112
[2,4,7,8,1,3,6,5]=>1000100=>68
[8,5,1,2,3,7,4,6]=>1001100=>76
[5,2,8,3,1,4,7,6]=>1110010=>114
[8,7,2,5,1,4,3,6]=>1110001=>113
[8,4,1,3,2,7,6,5]=>1101110=>110
[8,3,5,1,2,4,7,6]=>1010010=>82
[8,6,5,1,7,4,2,3]=>1101110=>110
[8,7,4,5,1,2,6,3]=>1011001=>89
[3,8,6,2,7,1,5,4]=>1101010=>106
[3,4,8,2,1,7,6,5]=>1100110=>102
[3,8,4,2,1,7,6,5]=>1101110=>110
[8,3,1,7,5,6,2,4]=>1110100=>116
[8,4,1,7,5,2,6,3]=>1111100=>124
[8,4,2,7,5,3,1,6]=>1111100=>124
[8,4,3,7,5,1,2,6]=>1011100=>92
[8,5,7,6,4,3,1,2]=>1011110=>94
[8,4,7,6,5,2,1,3]=>1101110=>110
[8,3,1,4,7,6,2,5]=>1110010=>114
[8,3,5,7,6,2,4,1]=>1110010=>114
[1,4,6,8,2,5,7,3]=>0110000=>48
[3,6,2,4,8,1,7,5]=>1100100=>100
[7,3,8,2,4,6,1,5]=>1110000=>112
[1,5,2,6,8,3,7,4]=>0111000=>56
[4,5,3,1,8,2,6,7]=>1110000=>112
[7,2,8,4,1,3,5,6]=>1101000=>104
[6,1,7,3,2,8,4,5]=>1111000=>120
[6,2,1,7,3,8,4,5]=>1111000=>120
[5,8,2,1,3,4,6,7]=>1100000=>96
[4,2,5,1,8,3,6,7]=>1110000=>112
[7,4,2,8,3,1,5,6]=>1111000=>120
[7,4,2,8,3,5,1,6]=>1111000=>120
[6,7,8,5,2,1,4,3]=>1110100=>116
[1,6,2,7,8,4,3,5]=>0111000=>56
[10,1,9,5,6,7,8,2,3,4]=>110010000=>400
[9,1,10,8,6,7,2,3,4,5]=>110001010=>394
[8,1,9,10,7,2,3,4,5,6]=>110000100=>388
[10,1,8,9,2,3,4,5,6,7]=>110000000=>384
[3,1,10,9,6,7,8,2,4,5]=>110001001=>393
[3,1,9,10,8,7,2,4,5,6]=>110000110=>390
[3,1,8,9,10,2,4,5,6,7]=>110000000=>384
[7,3,4,1,8,6,2,5]=>1110010=>114
[4,7,6,3,5,8,2,1]=>1110010=>114
[3,7,6,5,2,4,8,1]=>1100110=>102
[1,4,7,8,6,2,5,3]=>0110010=>50
[1,6,7,8,3,2,5,4]=>0111000=>56
[1,3,2,7,8,4,6,5]=>0101100=>44
[6,8,2,3,5,7,4,1]=>1101000=>104
[5,7,1,4,6,2,8,3]=>1110000=>112
[9,8,7,6,5,1,3,4,2]=>11001111=>207
[9,8,7,6,1,4,5,3,2]=>11100111=>231
[8,7,1,5,4,6,3,2]=>1111001=>121
[9,8,7,1,5,6,4,3,2]=>11110011=>243
[9,8,1,6,7,5,4,3,2]=>11111001=>249
[9,1,7,8,6,5,4,3,2]=>11111100=>252
[4,5,7,1,8,6,2,3]=>1100010=>98
[4,3,8,6,5,2,7,1]=>1110110=>118
[2,3,8,6,5,1,7,4]=>1001110=>78
[5,4,7,3,1,2,6,8]=>1011000=>88
[7,6,2,1,5,4,3,8]=>1111010=>122
[3,1,2,6,5,7,8,4]=>1001100=>76
[7,3,2,6,1,4,8,5]=>1110100=>116
[3,2,5,6,8,4,1,7]=>1101000=>104
[7,2,6,8,5,4,3,1]=>1111100=>124
[3,7,5,6,2,4,1,8]=>1100100=>100
[1,3,4,5,6,7,2,9,8]=>01000001=>65
[3,4,5,6,7,1,9,2,8]=>11000000=>192
[3,2,4,1,6,5,8,7,9]=>11001010=>202
[4,2,5,1,6,3,8,7,9]=>11100010=>226
[4,2,6,1,7,3,8,5,9]=>11101000=>232
[4,2,6,1,8,3,9,5,7]=>11101000=>232
[4,2,6,1,7,3,5,9,8]=>11100001=>225
[4,2,5,1,3,7,6,9,8]=>11000101=>197
[3,2,5,4,6,1,8,7,9]=>11010010=>210
[4,2,5,1,6,3,8,7,10,9]=>111000101=>453
[4,2,5,1,7,6,8,3,9]=>11100100=>228
[4,2,6,1,7,3,8,5,10,9]=>111010001=>465
[4,2,6,1,7,3,9,8,5]=>11101001=>233
[4,2,6,1,8,3,9,5,10,7]=>111010100=>468
[4,2,5,1,3,6,8,7]=>1100001=>97
[4,2,6,1,7,3,5,8,9]=>11100000=>224
[4,2,6,1,8,3,9,5,7,10]=>111010000=>464
[4,2,5,1,3,8,9,6,7]=>11000100=>196
[4,2,6,1,7,3,5,9,8,10]=>111000010=>450
[3,2,1,6,7,4,5,9,8]=>11010001=>209
[4,2,5,1,3,7,6,9,8,10]=>110001010=>394
[1,4,5,2,3,7,6,9,8]=>01000101=>69
[5,3,4,2,7,1,8,6]=>1110010=>114
[5,6,8,2,1,3,4,7]=>1100000=>96
[6,5,2,1,3,8,4,7]=>1101100=>108
[2,4,3,5,6,8,1,7]=>1010000=>80
[6,3,2,4,8,5,1,7]=>1110100=>116
[6,3,1,2,7,8,4,5]=>1011000=>88
[8,4,7,1,2,5,3,6]=>1011000=>88
[7,4,6,1,8,5,2,3]=>1101100=>108
[8,5,6,7,2,1,4,3]=>1110100=>116
[2,5,6,3,8,4,7,1]=>1011000=>88
[6,8,4,2,3,1,7,5]=>1101100=>108
[1,7,6,2,8,3,5,4]=>0111010=>58
[7,1,5,6,3,2,8,4]=>1111000=>120
[4,1,3,8,5,2,7,6]=>1100110=>102
[1,8,5,4,7,2,3,6]=>0101100=>44
[8,2,5,6,4,3,1,7]=>1111000=>120
[2,4,3,8,6,5,1,7]=>1010110=>86
[3,1,4,5,8,6,2,7]=>1100010=>98
[1,8,3,2,5,4,6,7]=>0111000=>56
[5,1,7,3,2,8,4,6]=>1111000=>120
[5,7,8,1,3,2,4,6]=>1100000=>96
[8,2,4,1,6,7,3,5]=>1110000=>112
[8,7,3,6,2,4,1,5]=>1110001=>113
[1,7,4,8,3,6,2,5]=>0111000=>56
[7,8,6,1,3,5,4,2]=>1101010=>106
[1,7,5,8,4,3,2,6]=>0111100=>60
[6,3,1,2,7,8,5,4]=>1011100=>92
[8,2,7,5,3,4,1,6]=>1110100=>116
[6,3,1,2,8,7,5,4]=>1011101=>93
[8,4,7,2,6,3,1,5]=>1111000=>120
[1,2,5,7,8,3,6,4]=>0011000=>24
[7,6,3,4,2,1,8,5]=>1110110=>118
[8,4,6,2,3,7,1,5]=>1101000=>104
[3,4,5,8,1,7,2,6]=>1100000=>96
[6,3,4,2,7,8,1,5]=>1110000=>112
[5,6,3,7,8,2,1,4]=>1110000=>112
[8,6,3,4,7,2,1,5]=>1110010=>114
[4,3,8,6,7,5,1,2]=>1010110=>86
[4,5,6,2,7,8,3,1]=>1110000=>112
[4,5,6,2,7,1,8,3]=>1110000=>112
[4,5,6,2,1,7,8,3]=>1110000=>112
[4,5,6,2,1,7,3,8]=>1110000=>112
[6,8,7,2,3,1,4,5]=>1100001=>97
[4,5,1,6,7,3,2,8]=>1110000=>112
[2,5,1,8,3,7,4,6]=>1011000=>88
[5,7,2,1,3,8,4,6]=>1101000=>104
[3,7,5,4,1,6,8,2]=>1101100=>108
[7,1,5,4,2,6,3,8]=>1111000=>120
[8,5,6,3,7,2,1,4]=>1110100=>116
[7,6,5,4,3,1,2,9,8]=>10111101=>189
[8,7,6,5,4,3,1,2,10,9]=>101111101=>381
[7,6,5,4,2,1,3,9,8]=>11011101=>221
[7,6,5,4,1,3,2,9,8]=>11011101=>221
[9,8,7,6,5,3,2,4,1]=>11101111=>239
[9,8,7,6,5,2,4,3,1]=>11101111=>239
[10,9,8,7,6,5,4,2,3,1]=>110111111=>447
[2,7,4,5,6,8,1,3]=>1001000=>72
[2,3,4,6,8,1,7,5]=>1000100=>68
[2,3,4,8,6,7,9,5,1]=>10001100=>140
[2,3,8,5,6,7,9,1,4]=>10001000=>136
[2,8,4,5,6,7,9,3,1]=>10110000=>176
[8,3,4,5,6,7,9,2,1]=>11100000=>224
[2,3,4,5,7,9,1,8,6]=>10000100=>132
[2,3,4,6,7,1,9,5,8]=>10001000=>136
[2,3,4,5,9,7,8,10,6,1]=>100001100=>268
[2,3,5,8,1,6,7,4]=>1001000=>72
[2,3,5,6,1,7,9,4,8]=>10010000=>144
[2,3,4,9,6,7,8,10,1,5]=>100001000=>264
[2,4,5,1,6,7,9,8,3]=>10100001=>161
[2,3,9,5,6,7,8,10,4,1]=>100110000=>304
[2,4,7,5,6,8,1,3]=>1000100=>68
[3,4,1,5,6,7,9,2,8]=>11000000=>192
[2,9,4,5,6,7,8,10,3,1]=>101100000=>352
[3,2,4,5,6,7,9,1,8]=>11000000=>192
[9,3,4,5,6,7,8,10,1,2]=>101000000=>320
[2,3,4,5,6,8,10,1,9,7]=>100000100=>260
[2,3,4,7,6,9,8,5,1]=>10001101=>141
[2,3,4,5,7,8,1,10,6,9]=>100001000=>264
[2,3,4,6,9,1,7,8,5]=>10001000=>136
[2,3,4,6,7,1,8,10,5,9]=>100010000=>272
[7,3,4,6,2,8,1,5]=>1110000=>112
[2,5,4,6,8,7,9,1,3]=>10010010=>146
[2,3,5,7,1,6,9,4,8]=>10010000=>144
[2,3,5,6,1,7,8,10,9,4]=>100100001=>289
[4,7,6,5,2,8,3,1]=>1110110=>118
[4,3,5,8,6,7,9,2,1]=>11100100=>228
[2,5,4,8,6,7,3,1]=>1011010=>90
[2,4,6,1,5,7,9,3,8]=>10100000=>160
[2,4,5,1,6,7,8,10,3,9]=>101000000=>320
[7,5,4,1,6,8,2,3]=>1101100=>108
[2,4,8,5,6,7,9,1,3]=>10001000=>136
[3,5,1,4,6,7,9,8,2]=>11000001=>193
[3,4,1,5,6,7,8,10,2,9]=>110000000=>384
[4,2,3,5,6,7,9,1,8]=>11000000=>192
[3,2,4,5,6,7,8,10,9,1]=>110000001=>385
[8,5,2,1,7,6,3,4]=>1110110=>118
[2,7,3,6,4,1,8,5]=>1011100=>92
[7,2,1,8,5,6,4,3]=>1111100=>124
[3,6,5,1,4,8,2,7]=>1100100=>100
[6,3,5,4,8,1,2,7]=>1011000=>88
[2,5,1,4,6,3,8,7]=>1010001=>81
[3,1,5,6,4,2,8,7]=>1101001=>105
[8,5,6,4,3,1,7,2]=>1111100=>124
[8,3,5,6,7,1,2,4]=>1010000=>80
[2,1,4,7,3,6,8,5]=>1010100=>84
[5,3,7,6,4,8,2,1]=>1111010=>122
[3,7,6,4,2,8,1,5]=>1101010=>106
[8,6,1,4,3,7,2,5]=>1110010=>114
[8,4,7,5,1,6,3,2]=>1111100=>124
[2,1,5,3,7,8,6,4]=>1011010=>90
[5,1,4,7,6,8,2,3]=>1100010=>98
[8,4,1,3,7,6,5,2]=>1101110=>110
[8,3,4,1,6,7,5,2]=>1110100=>116
[8,1,4,2,6,5,7,3]=>1110100=>116
[8,6,4,3,7,2,1,5]=>1111010=>122
[5,8,1,4,3,2,6,7]=>1110000=>112
[5,6,4,3,8,2,7,1]=>1111000=>120
[1,6,4,3,8,2,7,5]=>0111100=>60
[6,7,4,1,3,2,5,8]=>1101000=>104
[7,8,1,4,3,2,5,6]=>1110000=>112
[7,1,8,4,5,3,6,2]=>1111000=>120
[4,3,1,8,6,5,7,2]=>1110110=>118
[4,3,2,7,5,1,8,6]=>1110110=>118
[5,2,3,7,4,1,8,6]=>1101010=>106
[2,1,7,4,3,6,8,5]=>1011100=>92
[7,1,2,4,5,6,8,3]=>1010000=>80
[2,8,7,1,4,5,6,3]=>1010001=>81
[8,7,1,3,4,5,6,2]=>1100001=>97
[5,8,3,1,4,6,7,2]=>1110000=>112
[1,7,2,5,4,6,8,3]=>0111000=>56
[2,5,3,8,1,6,7,4]=>1011000=>88
[1,6,4,2,5,7,8,3]=>0111000=>56
[6,5,3,4,1,7,8,2]=>1110100=>116
[5,6,3,4,1,7,8,2]=>1110000=>112
[2,5,3,1,4,7,8,6]=>1010010=>82
[6,8,2,3,1,5,7,4]=>1101000=>104
[4,3,1,5,2,7,8,6]=>1110010=>114
[5,2,3,1,4,7,8,6]=>1100010=>98
[7,2,1,3,5,6,8,4]=>1101000=>104
[5,2,4,7,8,6,3,1]=>1110010=>114
[5,4,8,7,2,3,1,6]=>1101001=>105
[8,1,4,5,3,6,2,7]=>1110000=>112
[8,3,5,1,4,6,2,7]=>1110000=>112
[5,8,2,1,7,4,3,6]=>1111000=>120
[6,5,7,2,1,8,4,3]=>1111100=>124
[1,5,4,7,3,8,6,2]=>0111010=>58
[7,4,1,3,8,5,6,2]=>1101100=>108
[3,6,8,4,1,7,2,5]=>1101000=>104
[2,1,8,4,7,6,3,5]=>1011010=>90
[2,7,5,6,8,4,3,1]=>1011100=>92
[3,5,2,4,7,8,6,1]=>1100010=>98
[7,5,6,3,8,2,1,4]=>1110100=>116
[1,6,2,7,4,5,8,3]=>0111000=>56
[7,4,2,6,1,5,8,3]=>1111000=>120
[8,4,1,6,2,5,7,3]=>1111000=>120
[7,3,4,5,1,6,8,2]=>1110000=>112
[1,4,2,6,3,7,5,9,8]=>01101001=>105
[1,3,2,6,4,7,5,9,8]=>01011001=>89
[2,1,6,3,7,4,8,5,9]=>10111000=>184
[8,4,2,7,6,1,5,3]=>1111010=>122
[8,4,7,1,2,6,5,3]=>1011100=>92
[8,4,7,6,1,2,5,3]=>1011010=>90
[8,7,6,2,1,5,3,4]=>1110011=>115
[5,7,8,1,6,2,4,3]=>1110000=>112
[7,9,6,8,4,5,2,3,1]=>11010100=>212
[7,9,5,8,4,6,2,3,1]=>11011000=>216
[7,9,5,8,3,6,2,4,1]=>11101000=>232
[6,8,4,7,5,2,1,3]=>1101100=>108
[7,9,5,8,3,6,4,1,2]=>10111000=>184
[7,9,5,8,6,3,4,1,2]=>10101100=>172
[7,9,8,5,6,3,4,1,2]=>10101001=>169
[6,9,5,8,4,7,2,3,1]=>11011000=>216
[7,9,4,8,3,6,2,5,1]=>11110000=>240
[7,9,5,8,2,6,1,4,3]=>11101000=>232
[6,8,2,7,1,5,4,3]=>1111000=>120
[7,9,5,8,3,6,4,2,1]=>11111000=>248
[8,10,6,9,4,7,2,5,3,1]=>111101000=>488
[6,8,7,4,2,5,1,3]=>1101001=>105
[7,9,5,8,6,3,1,4,2]=>11101100=>236
[8,10,6,9,4,7,5,2,3,1]=>110111000=>440
[7,9,8,5,3,6,4,1,2]=>10111001=>185
[8,10,6,9,7,4,5,2,3,1]=>110101100=>428
[9,7,5,8,6,3,4,1,2]=>10101110=>174
[8,10,9,6,7,4,5,2,3,1]=>110101001=>425
[6,8,4,5,7,2,1,3]=>1101000=>104
[6,8,4,2,5,1,3,7]=>1101000=>104
[6,5,4,3,2,7,1,8,9]=>11111000=>248
[5,4,3,2,6,1,7,8,9]=>11110000=>240
[4,3,2,5,1,6,7,8,9]=>11100000=>224
[3,2,4,1,5,6,7,8,9]=>11000000=>192
[2,5,3,7,6,4,8,1]=>1011010=>90
[3,1,5,7,6,4,2,8]=>1101010=>106
[3,1,6,5,4,7,2,8]=>1101100=>108
[2,5,6,8,3,4,7,1]=>1010000=>80
[4,1,3,6,5,2,7,8]=>1100100=>100
[3,6,2,4,5,7,1,8]=>1100000=>96
[3,6,2,5,4,7,1,8]=>1101000=>104
[3,5,1,7,6,4,2,8]=>1101010=>106
[3,6,1,4,5,7,2,8]=>1100000=>96
[4,3,1,6,5,2,7,8]=>1110100=>116
[4,1,2,6,5,3,7,8]=>1010100=>84
[4,6,1,3,5,2,7,8]=>1100000=>96
[3,6,4,2,5,7,1,8]=>1101000=>104
[4,2,6,3,5,1,7,8]=>1110000=>112
[3,4,7,6,5,1,2,8]=>1000110=>70
[4,5,2,7,1,3,6,8]=>1100000=>96
[4,6,1,2,5,3,7,8]=>1010000=>80
[2,6,5,1,4,8,7,3]=>1010101=>85
[5,8,4,7,1,3,6,2]=>1101000=>104
[6,4,7,1,3,5,2,8]=>1101000=>104
[6,8,1,3,5,7,4,2]=>1101000=>104
[5,8,3,2,7,4,6,1]=>1111000=>120
[6,8,3,1,5,4,7,2]=>1111000=>120
[6,8,1,2,5,3,7,4]=>1011000=>88
[5,2,8,3,4,6,7,1]=>1110000=>112
[5,2,7,1,6,4,8,3]=>1111000=>120
[4,5,2,6,1,3,7,8]=>1100000=>96
[4,3,5,8,6,1,7,2]=>1110010=>114
[5,1,3,6,7,4,2,8]=>1101000=>104
[4,2,8,3,6,7,5,1]=>1110100=>116
[3,1,7,8,5,6,2,4]=>1100100=>100
[6,2,1,7,5,3,4,8]=>1110100=>116
[3,7,1,8,5,2,4,6]=>1100100=>100
[4,2,8,6,7,1,3,5]=>1100010=>98
[6,1,2,4,7,3,5,8]=>1010000=>80
[5,3,1,6,4,7,2,8]=>1111000=>120
[1,2,4,5,8,7,3,6]=>0010001=>17
[1,3,4,7,5,8,6,2]=>0100110=>38
[1,5,2,3,7,8,6,4]=>0101010=>42
[4,2,8,1,6,5,7,3]=>1110100=>116
[1,3,5,2,7,4,6,9,8]=>01010001=>81
[1,2,4,3,6,5,8,7,9]=>00101010=>42
[1,3,5,7,2,4,6,9,8]=>01000001=>65
[1,3,5,7,2,4,6,9,8,10]=>010000010=>130
[1,3,5,7,2,9,4,6,8]=>01010000=>80
[5,6,1,4,8,3,2,7]=>1110000=>112
[3,6,4,1,7,2,8,5]=>1101100=>108
[5,6,2,1,3,7,4,8,9]=>11010000=>208
[3,2,5,1,6,4,7,8,9]=>11010000=>208
[6,7,2,1,8,3,4,9,5]=>11101000=>232
[3,6,4,1,7,2,8,5,9]=>11011000=>216
[3,6,7,2,1,4,8,5,9]=>11001000=>200
[4,2,6,1,7,5,3,8,9]=>11101000=>232
[4,3,2,6,1,7,5,8,9]=>11101000=>232
[4,7,2,5,1,8,3,9,6]=>11100100=>228
[4,3,7,8,2,1,5,9,6]=>11100100=>228
[3,5,2,7,1,8,6,4,9]=>11010100=>212
[5,4,3,2,7,1,8,6,9]=>11110100=>244
[6,4,2,8,1,9,7,5,3]=>11111010=>250
[4,3,6,2,8,1,9,7,5]=>11101010=>234
[6,5,4,3,2,8,1,9,7]=>11111010=>250
[2,4,1,5,3,6,7,8,9,10]=>101000000=>320
[5,6,2,1,3,7,4,8,9,10]=>110100000=>416
[3,2,5,1,6,4,7,8,9,10]=>110100000=>416
[6,7,2,1,8,3,4,9,5,10]=>111010000=>464
[3,6,4,1,7,2,8,5,9,10]=>110110000=>432
[3,6,7,2,1,4,8,5,9,10]=>110010000=>400
[4,2,6,1,7,5,3,8,9,10]=>111010000=>464
[4,3,2,6,1,7,5,8,9,10]=>111010000=>464
[3,4,7,1,8,2,9,5,10,6]=>110011000=>408
[7,8,9,3,2,1,4,5,10,6]=>111001000=>456
[4,7,2,5,1,8,3,9,6,10]=>111001000=>456
[4,3,7,8,2,1,5,9,6,10]=>111001000=>456
[3,5,2,7,1,8,6,4,9,10]=>110101000=>424
[5,4,3,2,7,1,8,6,9,10]=>111101000=>488
[5,8,9,2,1,6,3,10,7,4]=>111100100=>484
[5,3,8,6,4,1,9,2,10,7]=>111101100=>492
[3,5,8,2,6,1,9,4,10,7]=>110100100=>420
[5,4,3,8,9,2,1,6,10,7]=>111100100=>484
[6,4,2,8,1,9,7,5,3,10]=>111110100=>500
[4,3,6,2,8,1,9,7,5,10]=>111010100=>468
[6,5,4,3,2,8,1,9,7,10]=>111110100=>500
[5,3,7,2,9,1,10,8,6,4]=>111101010=>490
[5,4,3,7,2,9,1,10,8,6]=>111101010=>490
[7,6,5,4,3,2,9,1,10,8]=>111111010=>506
[5,2,6,3,7,8,4,1]=>1111000=>120
[2,4,1,3,7,8,6,5]=>1000110=>70
[2,6,1,5,7,8,4,3]=>1011000=>88
[5,1,6,4,7,8,2,3]=>1101000=>104
[8,4,6,3,7,5,1,2]=>1011100=>92
[4,7,6,8,2,3,5,1]=>1100010=>98
[5,7,4,8,1,2,6,3]=>1011000=>88
[3,6,7,5,8,1,4,2]=>1100100=>100
[3,7,5,6,8,2,4,1]=>1100100=>100
[2,7,1,6,8,4,5,3]=>1011000=>88
[1,5,4,7,2,6,3,8]=>0111000=>56
[2,4,5,8,3,1,7,6]=>1010010=>82
[1,4,7,5,8,3,6,2]=>0110100=>52
[2,6,8,7,3,5,1,4]=>1010001=>81
[4,7,8,6,2,5,1,3]=>1100010=>98
[4,8,7,3,5,6,2,1]=>1110001=>113
[1,7,6,3,5,4,2,8]=>0111010=>58
[4,3,8,1,6,5,7,2]=>1110100=>116
[1,3,6,2,5,8,7,4]=>0101001=>41
[5,8,7,1,4,6,3,2]=>1110001=>113
[6,2,5,1,3,4,8,7]=>1100001=>97
[2,6,5,1,3,4,8,7]=>1000101=>69
[4,6,5,1,2,7,3,8]=>1010100=>84
[5,6,4,1,2,7,3,8]=>1011000=>88
[8,1,5,6,2,4,3,7]=>1110000=>112
[6,4,5,1,2,7,3,8]=>1011000=>88
[5,4,6,1,3,2,7,8]=>1101000=>104
[5,7,1,4,3,2,6,8]=>1110000=>112
[2,6,4,1,3,7,5,8]=>1001100=>76
[7,8,5,3,2,1,6,4]=>1111100=>124
[1,2,6,7,8,4,5,3]=>0011000=>24
[6,1,4,8,2,7,5,3]=>1110100=>116
[5,2,3,7,1,8,4,6]=>1101000=>104
[7,2,3,1,8,4,6,5]=>1101100=>108
[5,4,1,7,3,2,8,6]=>1111010=>122
[7,3,4,5,1,8,6,2]=>1110010=>114
[1,5,6,7,4,8,2,3]=>0101000=>40
[6,3,2,5,7,4,8,1]=>1111000=>120
[5,7,3,8,1,2,4,6]=>1010000=>80
[4,5,2,7,6,3,1,8]=>1110010=>114
[4,5,2,1,7,6,3,8]=>1110010=>114
[2,6,7,8,3,1,4,5]=>1010000=>80
[6,3,2,5,1,7,8,4]=>1111000=>120
[4,6,3,7,8,2,1,5]=>1110000=>112
[5,6,7,1,8,4,2,3]=>1101000=>104
[1,7,8,4,6,5,2,3]=>0101100=>44
[1,7,3,2,8,6,5,4]=>0111110=>62
[3,7,1,2,8,6,5,4]=>1001110=>78
[2,7,8,1,6,5,3,4]=>1010100=>84
[2,5,8,1,7,6,3,4]=>1010010=>82
[8,1,5,7,3,4,6,2]=>1110000=>112
[5,8,2,7,6,3,1,4]=>1110010=>114
[2,8,4,7,6,3,1,5]=>1011010=>90
[1,8,2,4,7,6,3,5]=>0110010=>50
[4,5,8,7,1,6,2,3]=>1100001=>97
[1,8,2,4,6,7,5,3]=>0110100=>52
[2,5,1,8,4,7,6,3]=>1011010=>90
[3,4,2,8,1,7,6,5]=>1100110=>102
[2,4,5,8,1,7,6,3]=>1010010=>82
[3,1,8,2,6,7,5,4]=>1101100=>108
[2,6,8,1,4,3,7,5]=>1010100=>84
[4,1,8,2,6,7,3,5]=>1110000=>112
[1,6,5,2,8,7,3,4]=>0110101=>53
[2,6,1,5,8,7,3,4]=>1010001=>81
[8,1,7,3,5,2,4,6]=>1110000=>112
[8,1,3,2,7,6,4,5]=>1101010=>106
[7,3,4,8,6,2,5,1]=>1110010=>114
[7,5,8,1,6,2,3,4]=>1100100=>100
[6,8,4,5,3,1,7,2]=>1111000=>120
[6,7,5,3,2,8,4,1]=>1111100=>124
[7,6,1,3,5,2,4,8]=>1100010=>98
[6,2,4,5,3,8,1,7]=>1110000=>112
[6,1,5,4,7,2,3,8]=>1101000=>104
[6,8,5,4,7,1,3,2]=>1101100=>108
[1,6,8,4,2,5,7,3]=>0111000=>56
[7,5,8,1,3,4,2,6]=>1100100=>100
[1,4,2,8,3,5,7,6]=>0110010=>50
[1,3,5,4,8,7,2,6]=>0101001=>41
[1,6,2,4,8,3,7,5]=>0110100=>52
[1,7,8,5,4,2,6,3]=>0111100=>60
[1,5,2,8,6,4,7,3]=>0111010=>58
[1,6,5,2,7,4,8,3]=>0111100=>60
[5,1,6,7,4,2,8,3]=>1111000=>120
[6,8,1,5,2,3,7,4]=>1101000=>104
[1,5,4,2,8,6,7,3]=>0111010=>58
[1,8,5,4,6,2,7,3]=>0111100=>60
[1,7,5,4,6,2,8,3]=>0111100=>60
[5,8,4,1,6,2,7,3]=>1111000=>120
[6,4,5,1,7,2,8,3]=>1111000=>120
[4,8,1,3,7,6,2,5]=>1100010=>98
[4,5,3,1,2,8,7,6]=>1010011=>83
[6,4,2,3,1,8,7,5]=>1101101=>109
[6,5,2,1,3,8,7,4]=>1101101=>109
[7,6,1,8,2,5,3,4]=>1110010=>114
[8,4,2,3,7,6,1,5]=>1101010=>106
[5,7,8,1,2,4,3,6]=>1010000=>80
[1,7,6,8,3,5,4,2]=>0111010=>58
[5,7,6,4,2,1,3,8]=>1101010=>106
[6,5,7,4,1,3,2,8]=>1101100=>108
[4,6,1,8,3,5,2,7]=>1110000=>112
[7,1,6,8,2,5,4,3]=>1111000=>120
[4,7,1,8,3,2,5,6]=>1110000=>112
[4,8,3,6,1,5,2,7]=>1110000=>112
[1,7,8,6,4,5,3,2]=>0111010=>58
[3,2,8,6,4,5,1,7]=>1101010=>106
[8,4,3,6,2,5,1,7]=>1111000=>120
[1,6,8,7,4,3,5,2]=>0111001=>57
[3,1,2,6,8,7,5,4]=>1001101=>77
[5,7,4,2,1,8,6,3]=>1111010=>122
[8,6,5,7,2,4,3,1]=>1110110=>118
[7,4,6,1,8,5,3,2]=>1111100=>124
[7,4,6,3,8,1,5,2]=>1111000=>120
[7,4,8,1,6,3,2,5]=>1111000=>120
[7,4,8,3,6,2,1,5]=>1111000=>120
[6,4,8,2,3,5,7,1]=>1101000=>104
[6,4,8,2,5,7,1,3]=>1101000=>104
[6,2,4,5,8,3,7,1]=>1110000=>112
[6,8,2,4,7,3,5,1]=>1110000=>112
[8,4,6,2,7,1,3,5]=>1101000=>104
[6,8,4,2,7,1,3,5]=>1101000=>104
[6,8,2,4,1,7,3,5]=>1110000=>112
[7,5,1,6,2,4,8,3]=>1110100=>116
[4,2,5,7,1,6,8,3]=>1110000=>112
[2,4,8,5,6,7,3,1]=>1010100=>84
[4,5,2,3,8,7,1,6]=>1100001=>97
[2,5,4,7,6,1,3,8]=>1001010=>74
[5,2,3,7,6,1,4,8]=>1100010=>98
[4,2,3,7,6,1,5,8]=>1100010=>98
[4,2,7,3,5,1,6,8]=>1110000=>112
[5,6,2,3,8,4,7,1]=>1101000=>104
[5,6,2,3,1,7,8,4]=>1101000=>104
[5,7,2,3,4,1,6,8]=>1100000=>96
[6,2,7,3,5,1,4,8]=>1110000=>112
[7,2,6,3,5,1,4,8]=>1110000=>112
[6,5,2,3,1,7,8,4]=>1101100=>108
[6,5,2,3,8,4,7,1]=>1101100=>108
[7,5,2,1,4,6,8,3]=>1110100=>116
[8,5,2,3,1,6,4,7]=>1101100=>108
[8,6,2,3,1,5,4,7]=>1101010=>106
[8,2,6,3,1,7,4,5]=>1111000=>120
[1,6,3,4,2,7,5,8]=>0110100=>52
[8,5,2,7,3,4,6,1]=>1110100=>116
[1,7,2,4,5,6,8,3]=>0110000=>48
[1,8,3,2,5,6,4,7]=>0111000=>56
[7,2,8,1,4,6,3,5]=>1110000=>112
[2,7,8,1,5,6,3,4]=>1010000=>80
[6,8,2,3,1,5,4,7]=>1101000=>104
[5,8,2,3,1,6,4,7]=>1101000=>104
[5,7,2,1,4,6,8,3]=>1110000=>112
[4,2,7,1,5,6,8,3]=>1110000=>112
[4,2,3,8,1,7,5,6]=>1100100=>100
[4,2,1,5,3,7,6,8]=>1110010=>114
[5,1,3,8,4,6,7,2]=>1101000=>104
[5,1,3,2,6,7,8,4]=>1101000=>104
[5,1,3,4,2,7,6,8]=>1100010=>98
[6,1,3,4,2,7,5,8]=>1100100=>100
[7,2,1,3,5,8,4,6]=>1101000=>104
[6,8,7,2,3,4,5,1]=>1100001=>97
[1,9,8,10,7,6,5,4,3,2]=>011111110=>254
[2,8,7,9,6,5,4,3,1]=>10111110=>190
[3,7,2,8,1,4,5,6]=>1100000=>96
[5,2,3,7,4,6,1,8]=>1101000=>104
[2,5,3,7,4,6,1,8]=>1011000=>88
[2,6,7,3,4,5,1,8]=>1010000=>80
[6,2,7,3,4,5,1,8]=>1110000=>112
[3,8,4,5,2,1,6,7]=>1101000=>104
[2,7,6,3,4,5,1,8]=>1010010=>82
[2,8,7,5,1,3,4,6]=>1000101=>69
[3,1,2,9,4,5,6,7,8]=>10010000=>144
[4,1,2,3,9,5,6,7,8]=>10001000=>136
[5,1,2,3,4,9,6,7,8]=>10000100=>132
[6,1,2,3,4,5,9,7,8]=>10000010=>130
[2,1,10,3,4,5,6,7,8,9]=>101000000=>320
[3,1,2,10,4,5,6,7,8,9]=>100100000=>288
[3,4,1,2,9,5,6,7,8]=>10001000=>136
[4,1,2,3,10,5,6,7,8,9]=>100010000=>272
[4,5,1,2,3,9,6,7,8]=>10000100=>132
[5,1,2,3,4,10,6,7,8,9]=>100001000=>264
[5,6,1,2,3,4,9,7,8]=>10000010=>130
[6,1,2,3,4,5,10,7,8,9]=>100000100=>260
[6,7,1,2,3,4,5,9,8]=>10000001=>129
[7,1,2,3,4,5,6,10,8,9]=>100000010=>258
[4,5,7,2,8,3,6,1]=>1110000=>112
[9,7,5,3,1,8,6,4,2]=>11111110=>254
[9,6,3,8,5,2,7,4,1]=>11111100=>252
[8,5,2,9,6,3,7,4,1]=>11111100=>252
[9,5,1,6,2,7,3,8,4]=>11111000=>248
[9,5,1,8,4,7,3,6,2]=>11111000=>248
[8,4,7,3,6,2,9,5,1]=>11111000=>248
[7,3,8,4,6,2,9,5,1]=>11111000=>248
[9,4,7,2,5,8,3,6,1]=>11110000=>240
[9,4,6,1,8,3,5,7,2]=>11110000=>240
[8,3,5,7,2,9,4,6,1]=>11110000=>240
[7,2,8,3,9,4,5,6,1]=>11110000=>240
[8,3,7,2,9,4,5,6,1]=>11110000=>240
[5,8,3,7,2,9,4,6,1]=>11110000=>240
[4,5,6,9,3,8,2,7,1]=>11100000=>224
[4,5,6,8,2,9,3,7,1]=>11100000=>224
[9,3,6,5,4,7,1,8,2]=>11111000=>248
[8,2,9,3,6,5,4,7,1]=>11111000=>248
[6,5,4,8,2,9,3,7,1]=>11111000=>248
[5,6,4,8,2,9,3,7,1]=>11110000=>240
[9,2,7,4,5,6,3,8,1]=>11110000=>240
[7,4,5,6,3,9,2,8,1]=>11110000=>240
[5,7,4,6,3,9,2,8,1]=>11110000=>240
[10,8,6,4,2,9,7,5,3,1]=>111111110=>510
[10,7,4,1,8,5,2,9,6,3]=>111111100=>508
[9,6,3,8,5,2,10,7,4,1]=>111111100=>508
[9,5,1,7,3,10,6,2,8,4]=>111111000=>504
[10,6,2,7,3,8,4,9,5,1]=>111111000=>504
[7,3,8,4,10,6,2,9,5,1]=>111111000=>504
[8,4,7,3,10,6,2,9,5,1]=>111111000=>504
[10,5,8,3,6,1,9,4,7,2]=>111110000=>496
[9,4,7,2,10,5,8,3,6,1]=>111110000=>496
[10,5,7,2,8,3,9,4,6,1]=>111110000=>496
[8,3,10,5,7,2,9,4,6,1]=>111110000=>496
[8,3,9,4,7,2,10,5,6,1]=>111110000=>496
[9,3,5,7,1,10,4,6,8,2]=>111100000=>480
[10,4,6,8,2,9,3,5,7,1]=>111100000=>480
[10,4,5,6,7,1,8,2,9,3]=>111100000=>480
[8,2,9,3,10,4,5,6,7,1]=>111100000=>480
[9,3,8,2,10,4,5,6,7,1]=>111100000=>480
[5,6,9,3,7,1,10,4,8,2]=>111100000=>480
[5,6,10,4,8,2,9,3,7,1]=>111100000=>480
[5,6,9,3,8,2,10,4,7,1]=>111100000=>480
[6,5,9,3,8,2,10,4,7,1]=>111110000=>496
[9,2,7,6,5,4,10,3,8,1]=>111111000=>504
[10,3,7,6,5,4,8,1,9,2]=>111111000=>504
[9,2,10,3,7,6,5,4,8,1]=>111111000=>504
[7,6,5,4,9,2,10,3,8,1]=>111111000=>504
[6,4,7,5,10,3,9,2,8,1]=>111110000=>496
[6,4,7,5,9,2,10,3,8,1]=>111110000=>496
[7,5,6,4,9,2,10,3,8,1]=>111110000=>496
[6,5,7,4,9,2,10,3,8,1]=>111110000=>496
[5,6,7,3,8,4,9,1,10,2]=>111100000=>480
[5,6,7,3,8,4,10,2,9,1]=>111100000=>480
[5,6,8,4,7,3,10,2,9,1]=>111100000=>480
[6,5,8,4,7,3,10,2,9,1]=>111110000=>496
[5,2,1,3,6,7,8,4]=>1101000=>104
[1,6,5,7,2,8,3,4]=>0110100=>52
[7,5,2,6,1,8,4,3]=>1111100=>124
[6,1,5,2,7,8,4,3]=>1111000=>120
[1,6,5,7,2,8,4,3]=>0111100=>60
[1,5,4,6,2,8,7,3]=>0111001=>57
[1,5,4,6,2,8,3,7]=>0111000=>56
[1,5,6,4,8,2,3,7]=>0101000=>40
[6,2,1,5,8,4,7,3]=>1111000=>120
[7,5,6,8,4,1,3,2]=>1101100=>108
[8,3,7,5,1,4,2,6]=>1110100=>116
[8,1,5,7,3,6,2,4]=>1110000=>112
[8,3,2,6,4,5,1,7]=>1111000=>120
[8,5,3,7,4,1,2,6]=>1011100=>92
[8,5,6,2,7,1,3,4]=>1100100=>100
[8,4,7,2,6,5,1,3]=>1101100=>108
[8,5,7,3,2,6,1,4]=>1110100=>116
[8,1,2,3,6,4,7,5]=>1001100=>76
[7,6,2,3,5,8,1,4]=>1100010=>98
[4,5,3,7,8,1,6,2]=>1110000=>112
[3,4,2,8,1,6,7,5]=>1100100=>100
[8,3,4,1,5,7,6,2]=>1110010=>114
[4,3,7,5,1,6,2,8]=>1110100=>116
[5,2,6,1,4,3,7,8]=>1110000=>112
[3,5,2,8,6,7,4,1]=>1101010=>106
[5,3,7,4,2,8,6,1]=>1111010=>122
[7,4,8,2,3,5,6,1]=>1101000=>104
[5,6,2,8,7,1,4,3]=>1110001=>113
[4,6,3,5,2,7,8,1]=>1110000=>112
[4,1,6,3,5,7,2,8]=>1110000=>112
[3,1,5,7,4,6,8,2]=>1101000=>104
[7,2,5,8,6,1,4,3]=>1110010=>114
[4,3,6,1,5,7,8,2]=>1110000=>112
[3,5,4,1,2,6,7,8]=>1001000=>72
[5,3,1,4,6,7,8,2]=>1110000=>112
[4,6,7,1,3,5,8,2]=>1100000=>96
[5,6,1,3,4,7,2,8]=>1100000=>96
[2,5,3,7,8,4,6,1]=>1011000=>88
[4,6,2,1,3,7,8,5]=>1100100=>100
[3,6,2,4,1,7,5,8]=>1100100=>100
[3,2,6,7,4,8,5,1]=>1101100=>108
[7,1,3,8,4,5,2,6]=>1101000=>104
[7,1,8,3,4,6,2,5]=>1110000=>112
[6,3,2,7,5,8,4,1]=>1111100=>124
[6,2,7,1,4,5,3,8]=>1110000=>112
[4,2,6,1,5,7,3,8]=>1110000=>112
[2,5,4,1,3,6,7,8]=>1001000=>72
[5,4,1,2,6,7,3,8]=>1011000=>88
[6,5,2,7,4,1,3,8]=>1101100=>108
[6,5,7,3,1,4,2,8]=>1110100=>116
[6,7,4,3,1,5,8,2]=>1111000=>120
[4,2,5,6,7,8,9,1,3]=>11000000=>192
[3,1,6,7,8,4,5,2]=>1101000=>104
[7,4,5,6,2,1,8,3]=>1111000=>120
[4,2,5,6,7,8,9,10,1,3]=>110000000=>384
[6,4,5,2,7,1,8,3]=>1111000=>120
[3,7,5,6,2,1,8,4]=>1101100=>108
[1,7,6,3,8,4,5,2]=>0111010=>58
[6,4,1,2,7,8,3,5]=>1011000=>88
[6,4,1,3,5,2,7,8]=>1101000=>104
[5,1,8,3,4,6,2,7]=>1110000=>112
[4,5,8,2,3,7,1,6]=>1100000=>96
[7,3,4,8,2,5,1,6]=>1110000=>112
[4,7,2,5,1,6,8,3]=>1110000=>112
[6,5,4,7,2,8,3,1]=>1111100=>124
[3,2,4,6,5,8,1,7]=>1100100=>100
[3,5,4,8,7,1,6,2]=>1101001=>105
[7,5,2,1,6,3,4,8]=>1110100=>116
[6,3,1,7,4,2,5,8]=>1111000=>120
[8,7,2,1,5,3,6,4]=>1111001=>121
[6,8,5,3,7,4,2,1]=>1111100=>124
[7,2,8,1,5,6,4,3]=>1111000=>120
[8,3,6,4,1,5,7,2]=>1111000=>120
[7,5,6,1,4,8,2,3]=>1100100=>100
[5,7,2,6,3,8,4,1]=>1111000=>120
[8,4,1,2,3,6,7,5]=>1001100=>76
[5,6,4,2,1,8,3,7]=>1111000=>120
[6,8,1,3,2,7,5,4]=>1101100=>108
[5,7,3,6,4,1,2,8]=>1011000=>88
[7,2,4,3,8,1,5,6]=>1110000=>112
[2,5,4,6,1,3,8,7]=>1001001=>73
[2,4,3,5,8,1,6,7]=>1010000=>80
[2,6,5,3,8,1,4,7]=>1010100=>84
[6,1,2,4,3,5,7,8]=>1010000=>80
[1,7,6,8,4,3,2,5]=>0111010=>58
[1,7,6,5,3,8,2,4]=>0110110=>54
[6,1,2,4,3,5,8,7]=>1010001=>81
[4,6,1,3,7,8,5,2]=>1100100=>100
[8,4,1,5,2,6,7,3]=>1111000=>120
[1,5,6,3,8,7,2,4]=>0110001=>49
[5,3,2,6,8,7,1,4]=>1110001=>113
[6,3,5,2,7,1,4,8]=>1110000=>112
[8,5,2,6,7,1,4,3]=>1110100=>116
[5,3,8,7,1,4,2,6]=>1110001=>113
[6,4,5,3,1,8,7,2]=>1111001=>121
[8,5,1,2,3,6,7,4]=>1001100=>76
[2,8,6,1,5,4,7,3]=>1011010=>90
[8,3,2,6,1,5,7,4]=>1111000=>120
[3,8,6,4,7,1,2,5]=>1001010=>74
[1,8,7,5,4,3,2,6]=>0111101=>61
[8,6,4,7,1,3,2,5]=>1101010=>106
[3,1,4,7,6,2,5,8]=>1100010=>98
[5,3,4,1,6,2,7,8]=>1110000=>112
[2,7,1,4,6,3,5,8]=>1010000=>80
[7,3,1,6,5,2,4,8]=>1110100=>116
[7,1,5,2,4,6,3,8]=>1110000=>112
[6,1,4,5,2,7,3,8]=>1110000=>112
[6,1,5,8,2,7,4,3]=>1111000=>120
[7,1,2,3,6,4,5,8]=>1001000=>72
[7,1,2,3,9,5,6,10,8,4]=>100110010=>306
[6,1,2,9,4,5,3,10,8,7]=>101100110=>358
[9,1,2,3,8,5,10,7,6,4]=>100111100=>316
[9,1,2,8,4,3,10,7,5,6]=>101110100=>372
[8,1,2,7,4,10,6,5,3,9]=>101111000=>376
[9,1,8,3,2,5,10,7,4,6]=>111100100=>484
[8,1,7,3,2,10,6,4,5,9]=>111101000=>488
[7,1,2,3,10,5,6,9,8,4]=>100110010=>306
[6,1,2,10,4,5,3,9,8,7]=>101100110=>358
[8,1,2,3,10,5,9,6,7,4]=>100111000=>312
[8,1,2,10,4,3,9,5,7,6]=>101111000=>376
[7,1,2,10,4,9,5,3,6,8]=>101110000=>368
[8,1,10,3,2,5,9,4,7,6]=>111101000=>488
[7,1,10,3,2,9,4,5,6,8]=>111100000=>480
[10,1,2,3,9,5,8,7,6,4]=>100111100=>316
[10,1,2,9,4,3,8,7,5,6]=>101110100=>372
[10,1,2,9,4,8,3,6,5,7]=>101110000=>368
[9,1,2,8,4,7,6,5,3,10]=>101111000=>376
[10,1,9,3,2,5,8,7,4,6]=>111100100=>484
[10,1,9,3,2,8,5,6,4,7]=>111110000=>496
[9,1,8,3,2,7,6,4,5,10]=>111101000=>488
[8,1,2,3,10,9,5,7,6,4]=>100111001=>313
[8,1,2,10,3,9,4,7,6,5]=>101111000=>376
[7,1,2,10,9,4,6,3,5,8]=>101100001=>353
[8,1,10,2,4,9,3,7,6,5]=>111011000=>472
[7,1,10,2,9,3,6,4,5,8]=>111100000=>480
[10,1,2,3,9,8,5,6,7,4]=>100110010=>306
[10,1,2,9,3,8,4,6,7,5]=>101110000=>368
[10,1,2,9,8,4,3,5,6,7]=>101100010=>354
[9,1,2,8,7,4,5,6,3,10]=>101100100=>356
[10,1,9,2,4,8,3,6,7,5]=>111010000=>464
[10,1,9,2,8,3,4,5,6,7]=>111000000=>448
[9,1,8,2,7,3,5,6,4,10]=>111100000=>480
[10,1,9,8,3,2,6,4,5,7]=>111100010=>482
[9,1,8,7,3,2,4,5,6,10]=>111000100=>452
[8,10,1,3,4,9,2,7,6,5]=>110011000=>408
[7,10,1,3,9,2,6,4,5,8]=>110100000=>416
[10,9,1,3,4,8,2,6,7,5]=>110010001=>401
[10,9,1,3,8,2,4,5,6,7]=>110000001=>385
[9,8,1,3,7,2,5,6,4,10]=>110100010=>418
[10,9,1,8,2,3,6,4,5,7]=>110100001=>417
[9,8,1,7,2,3,4,5,6,10]=>110000010=>386
[6,3,1,8,5,4,7,2]=>1111100=>124
[6,1,3,8,7,4,5,2]=>1101001=>105
[2,8,4,6,5,1,7,3]=>1011100=>92
[7,4,1,3,6,5,2,8]=>1101100=>108
[5,7,2,8,1,3,6,4]=>1101000=>104
[5,4,1,2,6,3,8,7]=>1011001=>89
[6,5,1,4,7,3,2,8]=>1110100=>116
[2,7,8,4,1,3,6,5]=>1001100=>76
[2,4,6,5,7,8,1,3]=>1000100=>68
[2,4,6,7,5,8,1,3]=>1000100=>68
[2,4,6,3,7,8,1,5]=>1010000=>80
[2,4,5,6,8,7,1,3]=>1000001=>65
[2,4,5,6,8,3,7,1]=>1010000=>80
[2,4,5,6,3,8,1,7]=>1010000=>80
[2,3,4,6,8,5,1,7]=>1000100=>68
[5,2,8,3,4,1,6,7]=>1110000=>112
[3,6,4,1,2,7,8,5]=>1001100=>76
[4,1,7,3,8,6,2,5]=>1110010=>114
[8,4,1,2,5,3,7,6]=>1011010=>90
[1,5,2,7,6,8,4,3]=>0111010=>58
[4,7,6,8,3,1,2,5]=>1010010=>82
[4,8,2,7,6,5,1,3]=>1100110=>102
[7,4,2,8,6,5,1,3]=>1101110=>110
[8,6,5,2,7,1,4,3]=>1110110=>118
[6,5,8,2,7,1,4,3]=>1110100=>116
[7,5,8,2,1,6,4,3]=>1111100=>124
[3,2,1,6,5,8,4,7]=>1101100=>108
[2,6,4,8,5,7,3,1]=>1011100=>92
[6,3,1,4,5,8,2,7]=>1110000=>112
[3,4,8,5,2,1,7,6]=>1100110=>102
[4,8,7,1,3,2,6,5]=>1100101=>101
[5,8,7,4,6,1,3,2]=>1101001=>105
[3,4,1,8,7,6,2,5]=>1100011=>99
[1,3,5,6,8,7,2,4]=>0100001=>33
[2,8,7,5,4,1,6,3]=>1011101=>93
[8,1,5,7,4,2,6,3]=>1111000=>120
[5,8,7,3,4,1,6,2]=>1110001=>113
[4,6,1,3,2,8,5,7]=>1100100=>100
[2,6,5,8,3,1,4,7]=>1010100=>84
[6,7,8,2,4,5,3,1]=>1110000=>112
[3,2,8,4,5,7,1,6]=>1101000=>104
[6,1,8,2,4,5,3,7]=>1110000=>112
[8,3,6,4,2,7,1,5]=>1111000=>120
[1,3,8,4,7,6,2,5]=>0101010=>42
[8,3,7,5,4,1,2,6]=>1011100=>92
[2,6,4,7,8,5,1,3]=>1001100=>76
[5,4,3,7,6,1,8,2]=>1111010=>122
[8,6,3,7,1,4,2,5]=>1110010=>114
[3,1,2,8,7,6,4,5]=>1001011=>75
[8,5,4,1,2,3,7,6]=>1001110=>78
[8,3,2,1,6,4,7,5]=>1111100=>124
[2,3,8,4,1,7,5,6]=>1001100=>76
[4,6,1,3,2,7,8,5]=>1100100=>100
[6,7,2,5,8,4,1,3]=>1101000=>104
[4,1,7,8,2,5,6,3]=>1110000=>112
[3,4,6,7,1,5,8,2]=>1100000=>96
[3,4,5,7,8,1,6,2]=>1100000=>96
[1,8,7,4,3,5,2,6]=>0111001=>57
[2,4,5,8,1,3,7,6]=>1000010=>66
[2,7,8,6,5,3,1,4]=>1010110=>86
[6,3,1,5,8,4,2,7]=>1111000=>120
[2,8,3,5,6,1,4,7]=>1010000=>80
[1,3,6,4,2,7,5,8]=>0101100=>44
[2,3,7,5,8,1,4,6]=>1000100=>68
[3,2,8,5,6,1,4,7]=>1100100=>100
[7,2,5,8,1,4,6,3]=>1110000=>112
[4,7,5,8,1,2,6,3]=>1010100=>84
[4,7,5,8,1,2,3,6]=>1000100=>68
[3,4,7,5,2,8,1,6]=>1100100=>100
[4,3,2,5,7,8,1,6]=>1110000=>112
[2,4,7,5,8,3,1,6]=>1010100=>84
[2,5,4,7,3,8,1,6]=>1011000=>88
[3,7,8,4,2,1,6,5]=>1101100=>108
[5,6,7,9,1,2,3,4,8]=>10000000=>128
[4,5,6,7,9,1,2,3,8]=>10000000=>128
[7,8,10,1,2,3,4,5,6,9]=>100000000=>256
[4,5,6,7,8,10,1,2,3,9]=>100000000=>256
[8,5,4,7,6,3,1,2]=>1011110=>94
[1,5,4,8,7,6,2,3]=>0101011=>43
[3,2,4,5,8,1,6,7]=>1100000=>96
[3,6,8,4,2,7,1,5]=>1101000=>104
[1,4,7,6,3,8,2,5]=>0110010=>50
[3,6,5,1,7,2,8,4]=>1101100=>108
[7,4,1,6,2,8,5,3]=>1111100=>124
[1,3,6,8,2,4,7,5]=>0100100=>36
[1,6,7,4,3,8,2,5]=>0111000=>56
[7,3,1,6,5,2,8,4]=>1111100=>124
[8,5,4,1,6,2,7,3]=>1111100=>124
[4,7,2,8,5,1,6,3]=>1110100=>116
[7,8,6,2,1,5,4,3]=>1111010=>122
[8,6,2,7,3,5,1,4]=>1110010=>114
[2,1,3,8,7,5,6,4]=>1001101=>77
[8,1,7,3,6,5,2,4]=>1110100=>116
[1,6,5,7,4,8,3,9,2]=>01111000=>120
[5,4,6,3,8,2,7,1,9]=>11110000=>240
[1,6,7,5,8,4,9,3,10,2]=>011110000=>240
[1,6,4,7,3,8,5,2]=>0111100=>60
[1,2,3,4,5,6,8,10,7,9]=>000000100=>4
[3,4,5,6,7,8,2,1,9]=>11000000=>192
[3,4,5,6,7,2,1,8,9]=>11000000=>192
[4,5,6,7,8,1,2,3,9]=>10000000=>128
[4,8,1,6,3,7,2,5]=>1110000=>112
[8,5,4,1,6,3,7,2]=>1111100=>124
[1,7,6,2,4,8,5,3]=>0110110=>54
[5,7,3,2,4,8,6,1]=>1110010=>114
[2,6,8,5,4,3,1,7]=>1011100=>92
[2,8,4,6,3,5,1,7]=>1011000=>88
[2,7,8,3,6,4,5,1]=>1011000=>88
[3,8,1,4,6,5,2,7]=>1100100=>100
[2,7,5,4,1,8,3,6]=>1011100=>92
[4,6,1,8,5,3,2,7]=>1110100=>116
[3,8,5,2,1,6,4,7]=>1101100=>108
[5,1,4,8,2,6,3,7]=>1110000=>112
[4,5,8,1,3,7,6,2]=>1100010=>98
[8,6,7,1,4,3,2,5]=>1110010=>114
[1,4,7,8,6,3,5,2]=>0110010=>50
[8,5,2,6,3,4,7,1]=>1110100=>116
[8,3,6,1,2,7,4,5]=>1011000=>88
[3,8,6,1,2,5,7,4]=>1001010=>74
[3,7,6,2,1,8,5,4]=>1101110=>110
[4,3,7,6,1,8,5,2]=>1110110=>118
[8,6,3,2,7,1,5,4]=>1111010=>122
[6,8,1,5,4,7,2,3]=>1101000=>104
[6,7,2,5,4,8,1,3]=>1101000=>104
[7,6,2,4,8,5,1,3]=>1100110=>102
[4,6,8,7,3,1,2,5]=>1010001=>81
[4,7,5,2,6,3,8,1]=>1110100=>116
[3,5,6,2,8,1,4,7]=>1100000=>96
[8,9,10,4,5,6,2,3,1,7]=>110100000=>416
[8,9,4,5,6,10,2,3,1,7]=>110100000=>416
[8,9,10,4,5,2,3,6,1,7]=>110100000=>416
[8,9,4,5,10,2,3,6,1,7]=>110100000=>416
[8,9,4,5,2,3,6,10,1,7]=>110100000=>416
[8,4,5,9,10,2,3,6,1,7]=>110100000=>416
[8,4,5,9,2,3,6,10,1,7]=>110100000=>416
[8,9,10,4,5,6,2,1,3,7]=>110100000=>416
[8,9,4,5,6,10,2,1,3,7]=>110100000=>416
[8,9,10,4,5,2,6,1,3,7]=>110100000=>416
[8,9,4,5,10,2,6,1,3,7]=>110100000=>416
[8,9,4,5,2,6,10,1,3,7]=>110100000=>416
[8,4,5,9,10,2,6,1,3,7]=>110100000=>416
[8,4,5,9,2,6,10,1,3,7]=>110100000=>416
[8,9,10,4,5,2,1,3,6,7]=>110100000=>416
[8,9,4,5,10,2,1,3,6,7]=>110100000=>416
[8,9,4,5,2,10,1,3,6,7]=>110100000=>416
[8,9,4,5,2,1,3,6,10,7]=>110100100=>420
[8,4,5,9,10,2,1,3,6,7]=>110100000=>416
[8,4,5,9,2,10,1,3,6,7]=>110100000=>416
[8,4,5,9,2,1,3,6,10,7]=>110100100=>420
[8,9,10,4,2,5,6,1,3,7]=>110100000=>416
[8,9,4,10,2,5,6,1,3,7]=>110100000=>416
[8,9,4,2,5,6,10,1,3,7]=>110100000=>416
[8,4,9,10,2,5,6,1,3,7]=>110100000=>416
[8,4,9,2,5,6,10,1,3,7]=>110100000=>416
[8,9,10,4,2,5,1,3,6,7]=>110100000=>416
[8,9,4,10,2,5,1,3,6,7]=>110100000=>416
[8,9,4,2,5,10,1,3,6,7]=>110100000=>416
[8,9,4,2,5,1,3,6,10,7]=>110100100=>420
[8,4,9,10,2,5,1,3,6,7]=>110100000=>416
[8,4,9,2,5,1,3,6,10,7]=>110100100=>420
[8,4,2,5,9,10,1,3,6,7]=>110100000=>416
[8,4,2,5,9,1,3,6,10,7]=>110100100=>420
[4,8,9,10,2,5,6,1,3,7]=>110000000=>384
[4,8,9,2,5,6,10,1,3,7]=>110000000=>384
[4,8,9,10,2,5,1,3,6,7]=>110000000=>384
[4,8,9,2,5,10,1,3,6,7]=>110000000=>384
[4,8,9,2,5,1,3,6,10,7]=>110000100=>388
[4,8,2,5,9,10,1,3,6,7]=>110000000=>384
[4,8,2,5,9,1,3,6,10,7]=>110000100=>388
[5,1,2,4,3,7,6,8]=>1010010=>82
[6,1,8,2,4,3,5,7]=>1110000=>112
[1,6,8,2,5,3,4,7]=>0110000=>48
[8,7,6,2,4,5,1,3]=>1100011=>99
[8,7,6,2,4,5,3,1]=>1110011=>115
[5,4,8,7,1,2,6,3]=>1011001=>89
[2,5,6,4,3,8,1,7]=>1011000=>88
[8,7,3,5,1,4,6,2]=>1110001=>113
[8,6,3,5,2,1,4,7]=>1110010=>114
[8,7,3,5,2,4,6,1]=>1110001=>113
[8,4,2,7,6,5,1,3]=>1101110=>110
[4,6,3,8,5,2,7,1]=>1110100=>116
[8,7,1,4,5,6,2,3]=>1100001=>97
[4,1,3,8,5,6,2,7]=>1100100=>100
[5,2,8,3,1,6,7,4]=>1111000=>120
[1,7,8,6,3,2,5,4]=>0111010=>58
[3,7,2,4,5,6,1,8]=>1100000=>96
[3,2,8,1,5,7,4,6]=>1101000=>104
[3,4,6,7,2,1,5,8]=>1100000=>96
[2,6,7,1,4,3,8,5]=>1010100=>84
[4,2,5,3,8,6,7,1]=>1110010=>114
[3,2,7,4,8,5,6,1]=>1101100=>108
[7,2,5,1,6,3,8,4]=>1111000=>120
[6,3,8,5,4,2,7,1]=>1111100=>124
[7,4,6,1,3,5,2,8]=>1101000=>104
[1,5,3,8,7,4,6,2]=>0111001=>57
[5,1,3,8,7,4,6,2]=>1101001=>105
[2,5,3,8,7,4,1,6]=>1011001=>89
[6,8,3,5,1,2,7,4]=>1011000=>88
[5,8,2,7,4,6,3,1]=>1111000=>120
[4,5,2,8,3,7,1,6]=>1110000=>112
[7,8,5,1,6,4,3,2]=>1111100=>124
[8,7,5,1,6,4,3,2]=>1111101=>125
[4,5,8,3,1,2,7,6]=>1010010=>82
[4,6,8,3,2,1,7,5]=>1110100=>116
[4,6,8,3,5,1,2,7]=>1010000=>80
[1,4,6,3,7,5,2,8]=>0110100=>52
[4,5,2,6,8,7,3,1]=>1110001=>113
[1,7,6,3,8,5,2,4]=>0110110=>54
[1,3,8,7,4,5,6,2]=>0101001=>41
[7,3,1,8,4,5,6,2]=>1111000=>120
[3,2,8,7,4,5,6,1]=>1101001=>105
[6,2,4,3,7,5,8,1]=>1110100=>116
[6,4,2,5,1,7,8,3]=>1111000=>120
[3,8,2,1,5,7,6,4]=>1101010=>106
[1,3,2,8,7,4,6,5]=>0101101=>45
[7,5,2,8,3,1,6,4]=>1111100=>124
[5,4,2,7,3,8,6,1]=>1111010=>122
[4,6,3,7,8,1,2,5]=>1010000=>80
[8,3,5,4,7,1,2,6]=>1011000=>88
[6,2,5,4,1,7,8,3]=>1111000=>120
[4,1,5,6,3,8,7,2]=>1110001=>113
[8,5,1,6,3,2,4,7]=>1110100=>116
[6,8,7,4,3,2,5,1]=>1111001=>121
[8,1,5,4,6,7,3,2]=>1111000=>120
[2,8,5,1,3,7,6,4]=>1001110=>78
[2,4,5,8,3,7,6,1]=>1010010=>82
[5,6,4,1,8,2,7,3]=>1111000=>120
[6,4,5,1,3,8,7,2]=>1101001=>105
[6,1,3,5,4,8,2,7]=>1101000=>104
[1,3,8,7,2,5,6,4]=>0101001=>41
[2,5,4,1,8,3,7,6]=>1011010=>90
[5,1,4,8,3,7,6,2]=>1110010=>114
[8,4,1,2,7,6,5,3]=>1011110=>94
[4,8,3,2,7,6,5,1]=>1110110=>118
[1,8,7,3,4,6,5,2]=>0110101=>53
[4,3,1,2,6,5,8,7,9]=>10101010=>170
[6,5,3,1,2,4,8,7,9]=>10101010=>170
[8,7,5,3,1,2,4,6,9]=>10101010=>170
[7,5,3,1,2,4,6,9,8]=>10101001=>169
[5,3,1,2,4,7,6,9,8]=>10100101=>165
[4,1,2,6,5,3,8,7,9]=>10101010=>170
[6,5,3,1,2,4,8,7,10,9]=>101010101=>341
[6,3,1,2,4,8,7,5,9]=>10101010=>170
[8,7,5,3,1,2,4,6,10,9]=>101010101=>341
[8,5,3,1,2,4,6,9,7]=>10101010=>170
[10,9,7,5,3,1,2,4,6,8]=>101010101=>341
[5,3,1,2,4,6,8,7]=>1010001=>81
[8,5,7,3,1,2,4,6]=>1010100=>84
[7,5,3,1,2,4,6,8,9]=>10101000=>168
[3,1,2,8,7,5,4,6]=>1001101=>77
[5,3,1,2,4,9,7,6,8]=>10100110=>166
[7,5,3,1,2,4,6,9,8,10]=>101010010=>338
[3,1,2,7,5,4,6,9,8]=>10011001=>153
[5,3,1,2,4,7,6,9,8,10]=>101001010=>330
[1,5,3,2,4,7,6,9,8]=>01100101=>101
[1,4,3,8,5,7,2,6]=>0110100=>52
[6,7,1,5,2,8,4,3]=>1111000=>120
[1,5,3,7,6,4,8,2]=>0111010=>58
[4,8,1,3,6,2,7,5]=>1100100=>100
[2,7,3,4,8,6,5,1]=>1010110=>86
[1,8,2,4,7,3,6,5]=>0110100=>52
[2,7,1,6,5,8,3,4]=>1010100=>84
[6,2,3,8,1,5,7,4]=>1101000=>104
[2,5,7,4,8,3,6,1]=>1011000=>88
[8,5,6,2,4,7,1,3]=>1100100=>100
[4,8,5,6,7,1,3,2]=>1100100=>100
[8,1,5,7,3,6,4,2]=>1111000=>120
[4,3,7,1,2,8,5,6]=>1010100=>84
[2,7,6,4,3,8,5,1]=>1011110=>94
[3,8,6,2,7,5,4,1]=>1101110=>110
[4,8,1,6,2,5,3,7]=>1110000=>112
[1,8,4,2,5,7,3,6]=>0111000=>56
[5,8,3,1,2,4,6,7]=>1010000=>80
[1,4,8,5,2,3,6,7]=>0100100=>36
[1,4,8,5,2,3,7,6]=>0100110=>38
[7,1,4,2,6,8,3,5]=>1110000=>112
[1,5,8,7,2,4,3,6]=>0110001=>49
[1,5,4,2,8,3,7,6]=>0111010=>58
[1,2,8,7,3,5,4,6]=>0011001=>25
[8,7,1,3,2,5,4,6]=>1101001=>105
[6,7,4,2,8,1,3,5]=>1101000=>104
[4,1,6,8,7,2,3,5]=>1100001=>97
[4,7,5,6,2,8,3,1]=>1110100=>116
[8,4,3,6,7,5,2,1]=>1111100=>124
[6,7,5,2,8,4,3,1]=>1111100=>124
[6,8,4,3,2,7,5,1]=>1111100=>124
[2,1,4,3,6,5,9,7,10,8]=>101010110=>342
[2,1,4,3,7,5,8,6,10,9]=>101011001=>345
[2,1,4,3,7,5,9,6,10,8]=>101011010=>346
[2,1,4,3,8,5,9,6,10,7]=>101011100=>348
[2,1,5,3,6,4,8,7,10,9]=>101100101=>357
[2,1,5,3,6,4,9,7,10,8]=>101100110=>358
[2,1,5,3,7,4,8,6,10,9]=>101101001=>361
[2,1,5,3,7,4,9,6,10,8]=>101101010=>362
[2,1,5,3,8,4,9,6,10,7]=>101101100=>364
[2,1,6,3,7,4,8,5,10,9]=>101110001=>369
[2,1,6,3,7,4,9,5,10,8]=>101110010=>370
[2,1,6,3,8,4,9,5,10,7]=>101110100=>372
[2,1,7,3,8,4,9,5,10,6]=>101111000=>376
[3,1,4,2,6,5,9,7,10,8]=>110010110=>406
[3,1,4,2,7,5,8,6,10,9]=>110011001=>409
[3,1,4,2,7,5,9,6,10,8]=>110011010=>410
[3,1,4,2,8,5,9,6,10,7]=>110011100=>412
[3,1,5,2,6,4,9,7,10,8]=>110100110=>422
[3,1,5,2,8,4,9,6,10,7]=>110101100=>428
[3,1,6,2,7,4,8,5,10,9]=>110110001=>433
[3,1,6,2,7,4,9,5,10,8]=>110110010=>434
[3,1,6,2,8,4,9,5,10,7]=>110110100=>436
[3,1,7,2,8,4,9,5,10,6]=>110111000=>440
[4,1,5,2,6,3,9,7,10,8]=>111000110=>454
[4,1,5,2,7,3,8,6,10,9]=>111001001=>457
[4,1,5,2,7,3,9,6,10,8]=>111001010=>458
[4,1,5,2,8,3,9,6,10,7]=>111001100=>460
[4,1,6,2,7,3,8,5,10,9]=>111010001=>465
[4,1,6,2,7,3,9,5,10,8]=>111010010=>466
[4,1,6,2,8,3,9,5,10,7]=>111010100=>468
[4,1,7,2,8,3,9,5,10,6]=>111011000=>472
[5,1,6,2,7,3,9,4,10,8]=>111100010=>482
[5,1,6,2,8,3,9,4,10,7]=>111100100=>484
[5,1,7,2,8,3,9,4,10,6]=>111101000=>488
[2,9,8,7,6,5,1,4,3]=>10101111=>175
[2,10,9,8,7,6,5,1,4,3]=>101011111=>351
[6,1,7,3,5,8,2,4]=>1110000=>112
[1,3,7,6,4,8,2,5]=>0101010=>42
[2,6,4,8,7,3,1,5]=>1011001=>89
[2,1,8,7,3,5,4,6]=>1011001=>89
[6,1,5,8,7,4,3,2]=>1111001=>121
[6,1,8,5,7,4,3,2]=>1111100=>124
[8,5,1,4,7,6,3,2]=>1110110=>118
[8,1,3,7,2,4,6,5]=>1100100=>100
[2,6,7,3,5,8,4,1]=>1011000=>88
[2,6,7,3,5,8,1,4]=>1010000=>80
[5,3,1,6,4,8,2,7]=>1111000=>120
[2,5,6,7,1,4,8,3]=>1010000=>80
[4,7,5,3,2,8,1,6]=>1110100=>116
[4,7,5,2,8,6,1,3]=>1100110=>102
[3,8,6,7,2,5,4,1]=>1101010=>106
[5,8,1,2,7,4,3,6]=>1011000=>88
[6,3,1,8,2,4,5,7]=>1110000=>112
[4,6,3,7,8,1,5,2]=>1110000=>112
[6,3,1,8,4,5,2,7]=>1111000=>120
[2,1,4,7,5,8,6,3]=>1010110=>86
[7,6,2,4,8,3,1,5]=>1110010=>114
[6,5,8,1,4,3,7,2]=>1110100=>116
[8,1,4,2,7,5,6,3]=>1110100=>116
[9,3,4,5,6,7,1,2,10,8]=>101000010=>322
[1,7,2,8,3,9,4,10,5,6]=>011110000=>240
[1,7,2,8,3,9,10,4,5,6]=>011100000=>224
[1,7,2,8,9,3,4,10,5,6]=>011010000=>208
[1,7,2,8,9,3,10,4,5,6]=>011100000=>224
[1,7,2,8,9,10,3,4,5,6]=>011000000=>192
[1,7,8,2,3,9,4,10,5,6]=>010110000=>176
[1,7,8,2,3,9,10,4,5,6]=>010100000=>160
[1,7,8,2,9,3,4,10,5,6]=>011010000=>208
[1,7,8,2,9,3,10,4,5,6]=>011100000=>224
[1,7,8,2,9,10,3,4,5,6]=>011000000=>192
[1,7,8,9,2,3,4,10,5,6]=>010010000=>144
[1,7,8,9,2,3,10,4,5,6]=>010100000=>160
[1,7,8,9,2,10,3,4,5,6]=>011000000=>192
[7,1,2,8,3,9,4,10,5,6]=>101110000=>368
[7,1,2,8,3,9,10,4,5,6]=>101100000=>352
[7,1,2,8,9,3,4,10,5,6]=>101010000=>336
[7,1,2,8,9,3,10,4,5,6]=>101100000=>352
[7,1,2,8,9,10,3,4,5,6]=>101000000=>320
[7,1,8,2,3,9,4,10,5,6]=>110110000=>432
[7,1,8,2,3,9,10,4,5,6]=>110100000=>416
[7,1,8,2,9,3,4,10,5,6]=>111010000=>464
[7,1,8,2,9,10,3,4,5,6]=>111000000=>448
[7,1,8,9,2,3,4,10,5,6]=>110010000=>400
[7,1,8,9,2,3,10,4,5,6]=>110100000=>416
[7,1,8,9,2,10,3,4,5,6]=>111000000=>448
[7,1,8,9,10,2,3,4,5,6]=>110000000=>384
[7,8,1,2,3,9,4,10,5,6]=>100110000=>304
[7,8,1,2,3,9,10,4,5,6]=>100100000=>288
[7,8,1,2,9,3,4,10,5,6]=>101010000=>336
[7,8,1,2,9,3,10,4,5,6]=>101100000=>352
[7,8,1,2,9,10,3,4,5,6]=>101000000=>320
[7,8,1,9,2,3,4,10,5,6]=>110010000=>400
[7,8,1,9,2,3,10,4,5,6]=>110100000=>416
[7,8,1,9,2,10,3,4,5,6]=>111000000=>448
[7,8,1,9,10,2,3,4,5,6]=>110000000=>384
[7,8,9,1,2,3,4,10,5,6]=>100010000=>272
[7,8,9,1,2,3,10,4,5,6]=>100100000=>288
[7,8,9,1,2,10,3,4,5,6]=>101000000=>320
[7,8,9,1,10,2,3,4,5,6]=>110000000=>384
[8,6,3,5,2,1,7,4]=>1111010=>122
[6,8,3,1,2,5,4,7]=>1011000=>88
[5,8,6,4,7,1,2,3]=>1001010=>74
[2,5,1,8,7,3,4,6]=>1010001=>81
[7,2,4,3,8,6,1,5]=>1110010=>114
[1,7,6,5,4,3,2,9,8]=>01111101=>125
[6,8,4,3,5,1,7,2]=>1111000=>120
[1,4,7,3,6,8,2,5]=>0110000=>48
[3,7,1,4,6,8,2,5]=>1100000=>96
[2,4,7,3,6,8,1,5]=>1010000=>80
[8,5,7,6,1,3,2,4]=>1100110=>102
[2,7,5,6,1,8,4,3]=>1011100=>92
[1,2,6,7,4,5,8,3]=>0011000=>24
[6,5,2,8,7,1,4,3]=>1110101=>117
[7,2,3,6,8,1,4,5]=>1100000=>96
[2,6,1,3,8,5,4,7]=>1001100=>76
[6,4,1,8,3,2,5,7]=>1111000=>120
[5,8,1,4,2,7,3,6]=>1110000=>112
[2,3,1,6,8,7,4,5]=>1001001=>73
[6,4,8,2,1,7,3,5]=>1111000=>120
[2,3,1,8,7,5,6,4]=>1001101=>77
[1,5,6,7,2,4,3,8]=>0110000=>48
[2,8,6,4,1,5,3,7]=>1011010=>90
[1,5,7,3,6,2,4,8]=>0110000=>48
[6,7,4,5,1,3,8,2]=>1101000=>104
[1,6,5,3,8,2,4,7]=>0110100=>52
[5,6,1,2,4,8,3,7]=>1010000=>80
[8,7,4,5,1,3,2,6]=>1101001=>105
[8,5,1,2,7,4,3,6]=>1011100=>92
[4,1,8,7,2,5,3,6]=>1110001=>113
[2,6,3,8,4,1,7,5]=>1011100=>92
[3,2,4,6,1,8,7,5]=>1100101=>101
[3,6,7,4,1,2,5,8]=>1001000=>72
[1,4,7,5,8,2,3,6]=>0100100=>36
[1,6,8,4,7,3,2,5]=>0111000=>56
[3,6,7,5,4,8,1,2]=>1001100=>76
[4,5,7,2,6,3,8,1]=>1110000=>112
[2,1,5,7,4,6,8,3]=>1011000=>88
[2,3,5,7,8,1,6,4]=>1001000=>72
[1,5,7,4,2,3,6,8]=>0101000=>40
[2,4,7,5,3,6,8,1]=>1010100=>84
[8,1,7,2,4,6,3,5]=>1110000=>112
[1,2,4,7,8,6,3,5]=>0010010=>18
[2,4,7,8,3,5,1,6]=>1010000=>80
[1,3,6,2,5,8,4,7]=>0101000=>40
[1,5,3,6,8,2,4,7]=>0110000=>48
[4,8,1,2,6,3,7,5]=>1010100=>84
[5,8,1,2,6,3,7,4]=>1011000=>88
[1,6,2,3,7,5,8,4]=>0101100=>44
[4,1,2,6,5,7,8,3]=>1010100=>84
[1,8,4,2,7,3,6,5]=>0111100=>60
[1,7,5,2,3,8,6,4]=>0101110=>46
[8,1,4,7,3,5,2,6]=>1110000=>112
[8,4,3,6,1,7,2,5]=>1111000=>120
[2,6,1,8,3,7,4,5]=>1011000=>88
[8,4,2,1,3,7,5,6]=>1101100=>108
[2,5,1,7,6,8,3,4]=>1010010=>82
[5,3,1,8,2,4,7,6]=>1110010=>114
[1,2,6,3,7,5,8,4]=>0011100=>28
[5,1,8,3,2,4,7,6]=>1110010=>114
[3,1,5,4,6,7,8,2]=>1101000=>104
[2,8,5,7,3,1,4,6]=>1010100=>84
[2,6,8,7,3,1,4,5]=>1010001=>81
[7,4,2,1,3,8,5,6]=>1101100=>108
[7,2,1,3,8,5,4,6]=>1101100=>108
[2,1,7,3,8,6,4,5]=>1011010=>90
[1,7,5,3,2,4,8,6]=>0110110=>54
[1,4,2,7,6,5,8,3]=>0110110=>54
[3,4,1,6,5,7,8,2]=>1100100=>100
[2,8,7,3,4,1,5,6]=>1010001=>81
[5,7,6,2,3,8,1,4]=>1100010=>98
[4,5,7,6,2,8,1,3]=>1100010=>98
[3,1,8,7,5,2,6,4]=>1101101=>109
[4,5,6,8,7,2,1,3]=>1100001=>97
[2,8,3,1,5,4,7,6]=>1011010=>90
[3,8,4,1,5,2,7,6]=>1101010=>106
[5,1,7,8,3,2,6,4]=>1111000=>120
[1,8,6,2,4,3,7,5]=>0110110=>54
[4,8,3,1,6,2,7,5]=>1110100=>116
[2,8,3,1,6,4,7,5]=>1011100=>92
[6,2,7,1,5,8,4,3]=>1111000=>120
[1,7,8,9,6,5,4,3,2]=>01111100=>124
[1,6,7,8,9,5,4,3,2]=>01111000=>120
[1,5,6,7,8,9,4,3,2]=>01110000=>112
[1,4,5,6,7,8,9,3,2]=>01100000=>96
[1,8,9,10,7,6,5,4,3,2]=>011111100=>252
[1,7,6,8,9,5,4,3,2]=>01111100=>124
[1,7,8,9,10,6,5,4,3,2]=>011111000=>248
[1,6,5,7,8,9,4,3,2]=>01111000=>120
[1,6,7,8,9,10,5,4,3,2]=>011110000=>240
[1,5,4,6,7,8,9,3,2]=>01110000=>112
[1,5,6,7,8,9,10,4,3,2]=>011100000=>224
[1,4,5,6,7,8,9,10,3,2]=>011000000=>192
[4,8,5,1,3,2,6,7]=>1100100=>100
[5,4,3,1,2,7,6,8]=>1011010=>90
[4,1,6,5,2,3,7,8]=>1100100=>100
[7,1,5,2,3,6,4,8]=>1101000=>104
[4,1,6,3,7,2,5,8]=>1110000=>112
[4,6,1,2,8,3,7,5]=>1010100=>84
[4,1,3,6,7,2,5,8]=>1100000=>96
[2,6,5,1,3,4,7,8]=>1000100=>68
[2,6,7,4,3,1,5,8]=>1011000=>88
[2,6,3,1,7,4,5,8]=>1011000=>88
[6,5,3,7,2,4,1,8]=>1110100=>116
[2,3,6,7,1,5,4,8]=>1001000=>72
[2,7,5,8,1,3,6,4]=>1001100=>76
[5,1,6,7,3,2,4,8]=>1110000=>112
[5,6,1,4,7,2,3,8]=>1100000=>96
[1,2,5,7,8,6,3,4]=>0010010=>18
[1,2,6,7,4,5,3,8]=>0011000=>24
[1,2,7,8,4,6,3,5]=>0011000=>24
[8,6,5,2,1,7,4,3]=>1111110=>126
[4,3,8,6,7,1,5,2]=>1110010=>114
[8,3,2,4,7,1,6,5]=>1110100=>116
[7,3,2,8,6,1,5,4]=>1111010=>122
[7,5,8,2,6,1,4,3]=>1110100=>116
[5,6,8,2,7,4,1,3]=>1101000=>104
[7,4,1,2,6,5,8,3]=>1011100=>92
[5,2,7,4,6,1,8,3]=>1111000=>120
[7,4,1,2,3,6,8,5]=>1001100=>76
[5,4,8,6,3,2,1,7]=>1111010=>122
[8,4,6,7,3,1,5,2]=>1111000=>120
[4,6,8,5,1,2,7,3]=>1010100=>84
[4,1,3,6,8,5,2,7]=>1100100=>100
[6,3,5,7,1,2,8,4]=>1011000=>88
[1,8,5,3,2,4,6,7]=>0110100=>52
[1,6,7,3,4,2,5,8]=>0110000=>48
[1,6,8,3,4,2,5,7]=>0110000=>48
[1,8,7,5,3,4,2,6]=>0110101=>53
[1,7,8,5,3,4,2,6]=>0110100=>52
[1,7,6,8,4,2,3,5]=>0101010=>42
[1,7,8,6,4,3,2,5]=>0111010=>58
[9,8,7,6,5,2,1,3,4]=>11001111=>207
[9,8,6,4,7,2,5,1,3]=>11010101=>213
[7,2,8,9,10,1,3,4,5,6]=>110000000=>384
[9,7,8,6,5,4,3,2,1]=>11111110=>254
[5,1,7,8,4,2,3,6]=>1101000=>104
[3,8,2,1,6,7,5,4]=>1101100=>108
[2,8,3,1,7,5,6,4]=>1011100=>92
[8,5,6,2,1,4,7,3]=>1110100=>116
[9,10,6,4,2,1,3,5,8,7]=>110101100=>428
[10,7,8,4,2,1,3,6,5,9]=>110110100=>436
[9,7,10,4,2,1,3,6,8,5]=>110110100=>436
[8,9,10,4,2,1,3,7,6,5]=>110111000=>440
[10,8,5,6,2,1,4,3,7,9]=>111010010=>466
[9,10,5,6,2,1,4,3,8,7]=>111010100=>468
[10,7,5,8,2,1,4,6,3,9]=>111010100=>468
[9,7,5,10,2,1,4,6,8,3]=>111010100=>468
[8,9,5,10,2,1,4,7,6,3]=>111011000=>472
[10,6,7,8,2,1,5,4,3,9]=>111101000=>488
[9,6,7,10,2,1,5,4,8,3]=>111101000=>488
[8,6,9,10,2,1,5,7,4,3]=>111101000=>488
[7,8,9,10,2,1,6,5,4,3]=>111110000=>496
[10,8,6,3,4,2,1,5,7,9]=>111001010=>458
[9,10,6,3,4,2,1,5,8,7]=>111001100=>460
[10,7,8,3,4,2,1,6,5,9]=>111010100=>468
[9,7,10,3,4,2,1,6,8,5]=>111010100=>468
[8,9,10,3,4,2,1,7,6,5]=>111011000=>472
[10,8,5,3,6,2,4,1,7,9]=>111010010=>466
[9,10,5,3,6,2,4,1,8,7]=>111010100=>468
[10,7,5,3,8,2,4,6,1,9]=>111010100=>468
[9,7,5,3,10,2,4,6,8,1]=>111010100=>468
[8,9,5,3,10,2,4,7,6,1]=>111011000=>472
[10,6,7,3,8,2,5,4,1,9]=>111101000=>488
[9,6,7,3,10,2,5,4,8,1]=>111101000=>488
[8,6,9,3,10,2,5,7,4,1]=>111101000=>488
[7,8,9,3,10,2,6,5,4,1]=>111110000=>496
[10,8,4,5,6,3,2,1,7,9]=>111100010=>482
[9,10,4,5,6,3,2,1,8,7]=>111100100=>484
[10,7,4,5,8,3,2,6,1,9]=>111100100=>484
[9,7,4,5,10,3,2,6,8,1]=>111100100=>484
[8,9,4,5,10,3,2,7,6,1]=>111101000=>488
[10,6,4,7,8,3,5,2,1,9]=>111101000=>488
[9,6,4,7,10,3,5,2,8,1]=>111101000=>488
[8,6,4,9,10,3,5,7,2,1]=>111101000=>488
[7,8,4,9,10,3,6,5,2,1]=>111110000=>496
[10,5,6,7,8,4,3,2,1,9]=>111110000=>496
[9,5,6,7,10,4,3,2,8,1]=>111110000=>496
[8,5,6,9,10,4,3,7,2,1]=>111110000=>496
[7,5,8,9,10,4,6,3,2,1]=>111110000=>496
[2,10,4,5,6,7,9,1,3,8]=>100100000=>288
[10,3,4,5,6,7,1,9,2,8]=>111000000=>448
[2,7,4,1,5,8,3,6]=>1011000=>88
[2,1,6,4,7,8,3,5]=>1011000=>88
[5,7,8,3,4,2,1,6]=>1110000=>112
[4,7,5,3,8,2,6,1]=>1110100=>116
[2,6,4,7,8,5,3,1]=>1011100=>92
[7,8,4,5,6,1,3,2]=>1101000=>104
[2,5,1,8,4,6,7,3]=>1011000=>88
[5,2,8,4,6,7,1,3]=>1101000=>104
[6,5,8,3,4,2,1,7]=>1110100=>116
[1,3,5,8,4,6,7,2]=>0101000=>40
[8,2,7,6,3,4,5,1]=>1110010=>114
[6,8,7,3,2,1,4,5]=>1110001=>113
[3,4,8,2,7,1,5,6]=>1100000=>96
[7,2,6,1,4,8,3,5]=>1110000=>112
[7,8,1,2,4,6,3,5]=>1010000=>80
[7,2,8,3,4,5,1,6]=>1110000=>112
[6,1,8,3,4,2,5,7]=>1110000=>112
[7,5,1,2,4,3,8,6]=>1010110=>86
[7,6,8,1,4,2,3,5]=>1100010=>98
[2,4,3,7,8,5,6,1]=>1010100=>84
[2,1,7,6,3,4,5,8]=>1010010=>82
[6,3,5,2,1,8,4,7]=>1111000=>120
[6,1,5,3,8,2,4,7]=>1110000=>112
[2,3,6,8,5,1,7,4]=>1001100=>76
[3,2,4,8,6,1,7,5]=>1100110=>102
[2,1,3,8,4,5,7,6]=>1001010=>74
[3,1,2,8,5,4,7,6]=>1001110=>78
[2,1,3,7,8,4,6,5]=>1001100=>76
[2,1,3,8,4,7,6,5]=>1001110=>78
[3,1,2,8,4,5,7,6]=>1001010=>74
[1,2,8,7,5,4,6,3]=>0011101=>29
[4,6,7,2,3,8,1,5]=>1100000=>96
[3,2,6,5,7,8,1,4]=>1100100=>100
[3,2,7,5,6,8,1,4]=>1100100=>100
[2,1,8,7,4,6,5,3]=>1011101=>93
[6,1,5,8,4,7,3,2]=>1111000=>120
[1,4,6,8,5,7,2,3]=>0100100=>36
[2,8,5,1,6,4,3,7]=>1011100=>92
[2,4,7,1,8,3,6,5]=>1010100=>84
[6,1,5,4,2,3,8,7]=>1101001=>105
[6,4,5,1,2,8,3,7]=>1011000=>88
[8,4,1,5,7,6,3,2]=>1111010=>122
[8,1,6,3,5,2,4,7]=>1110000=>112
[4,6,2,5,3,8,1,7]=>1110000=>112
[4,6,5,2,1,8,3,7]=>1110100=>116
[5,8,4,3,6,7,2,1]=>1111000=>120
[6,8,2,1,5,3,4,7]=>1110000=>112
[2,5,3,8,6,7,4,1]=>1011010=>90
[3,2,6,5,1,8,4,7]=>1101100=>108
[7,4,5,8,1,6,2,3]=>1101000=>104
[4,5,8,1,6,7,3,2]=>1110000=>112
[5,1,8,4,6,7,3,2]=>1111000=>120
[6,5,3,8,1,7,2,4]=>1110100=>116
[8,3,7,1,6,2,4,5]=>1110000=>112
[8,1,4,6,5,7,2,3]=>1100100=>100
[8,1,7,5,6,4,2,3]=>1101100=>108
[8,6,1,5,3,7,2,4]=>1110010=>114
[7,2,3,6,8,1,5,4]=>1101000=>104
[2,6,3,7,8,1,4,5]=>1010000=>80
[6,3,8,7,2,1,5,4]=>1111001=>121
[7,2,5,6,3,4,8,1]=>1110000=>112
[7,2,8,6,3,1,5,4]=>1111010=>122
[7,2,4,5,8,6,3,1]=>1110010=>114
[6,3,8,4,7,2,5,1]=>1111000=>120
[7,2,3,6,8,5,4,1]=>1101100=>108
[7,2,8,5,4,1,3,6]=>1101100=>108
[7,4,5,2,8,1,6,3]=>1111000=>120
[7,5,4,2,8,1,6,3]=>1111100=>124
[7,6,3,2,8,4,5,1]=>1111010=>122
[7,2,3,6,8,4,5,1]=>1101000=>104
[7,2,5,4,8,3,6,1]=>1111000=>120
[7,2,8,3,6,1,4,5]=>1110000=>112
[7,4,5,2,8,3,6,1]=>1111000=>120
[3,1,6,7,4,5,2,8]=>1101000=>104
[3,1,5,4,7,6,2,8]=>1101010=>106
[7,3,6,8,2,4,5,1]=>1110000=>112
[5,1,3,2,4,6,8,7]=>1100001=>97
[8,4,2,5,1,7,3,6]=>1111000=>120
[6,4,2,5,7,3,8,1]=>1111000=>120
[5,7,8,4,2,3,6,1]=>1101000=>104
[6,4,5,2,8,3,7,1]=>1111000=>120
[6,5,2,4,3,8,7,1]=>1110101=>117
[6,5,3,4,1,8,2,7]=>1110100=>116
[6,4,5,3,8,1,2,7]=>1011000=>88
[5,6,4,8,3,1,2,7]=>1011000=>88
[7,2,4,6,3,8,5,1]=>1110100=>116
[2,8,3,7,6,1,5,4]=>1011010=>90
[5,4,2,6,8,7,3,1]=>1111001=>121
[3,7,2,5,8,6,4,1]=>1101010=>106
[4,6,5,3,8,1,7,2]=>1110100=>116
[2,4,8,7,6,1,5,3]=>1010011=>83
[3,2,8,7,4,6,5,1]=>1101101=>109
[8,2,6,5,1,4,3,7]=>1110100=>116
[4,8,5,2,7,6,3,1]=>1110110=>118
[2,8,6,5,7,1,3,4]=>1000110=>70
[3,8,4,7,2,1,6,5]=>1101100=>108
[4,8,5,1,7,6,3,2]=>1110110=>118
[5,8,1,7,6,2,3,4]=>1100010=>98
[3,4,6,2,5,7,1,8]=>1100000=>96
[1,7,5,2,6,8,3,4]=>0110100=>52
[5,1,7,2,4,6,3,8]=>1110000=>112
[6,8,2,1,3,4,7,5]=>1100100=>100
[5,2,1,7,6,4,3,8]=>1111010=>122
[7,4,8,3,6,5,1,2]=>1011100=>92
[6,4,8,5,1,7,2,3]=>1101100=>108
[5,2,8,1,3,6,7,4]=>1101000=>104
[6,3,2,7,4,5,8,1]=>1111000=>120
[7,4,3,8,5,6,1,2]=>1011100=>92
[6,2,1,8,7,4,5,3]=>1111001=>121
[6,2,1,8,7,3,5,4]=>1111001=>121
[5,2,1,7,6,3,4,8]=>1110010=>114
[4,2,6,8,5,7,1,3]=>1100100=>100
[8,6,4,3,2,7,5,1]=>1111110=>126
[1,3,4,7,8,2,6,5]=>0100100=>36
[1,5,4,3,8,7,2,6]=>0111001=>57
[1,2,5,8,4,3,6,7]=>0011000=>24
[1,5,8,2,6,4,3,7]=>0111000=>56
[10,9,8,6,4,2,1,3,5,7]=>110101011=>427
[10,8,7,6,4,2,1,3,5,9]=>110101110=>430
[10,7,9,6,4,2,1,3,8,5]=>110111100=>444
[10,9,8,7,6,4,2,1,3,5]=>110101111=>431
[10,8,6,5,4,2,1,3,7,9]=>110111010=>442
[10,9,8,6,5,4,2,1,3,7]=>110111011=>443
[10,8,5,7,4,2,1,6,3,9]=>111110010=>498
[10,5,9,7,4,2,1,6,8,3]=>111110100=>500
[10,9,8,5,7,4,2,1,6,3]=>111110011=>499
[10,8,7,6,5,4,2,1,3,9]=>110111110=>446
[10,7,9,6,5,4,2,1,8,3]=>111111100=>508
[10,6,9,8,5,7,2,1,4,3]=>111011010=>474
[10,8,6,4,3,2,1,5,7,9]=>111101010=>490
[10,9,8,6,4,3,2,1,5,7]=>111101011=>491
[10,8,7,6,4,3,2,1,5,9]=>111101110=>494
[10,7,9,6,4,3,2,1,8,5]=>111111100=>508
[10,8,6,3,5,2,4,1,7,9]=>111001010=>458
[10,9,8,6,3,5,2,4,1,7]=>111001011=>459
[10,8,3,7,5,2,4,6,1,9]=>111010010=>466
[10,3,9,7,5,2,4,6,8,1]=>111010100=>468
[10,9,8,3,7,5,2,4,6,1]=>111010011=>467
[10,8,7,6,3,5,2,4,1,9]=>111001110=>462
[10,7,9,6,3,5,2,4,8,1]=>111001100=>460
[10,9,3,8,6,5,2,7,4,1]=>111111001=>505
[10,9,8,7,6,3,5,2,4,1]=>111001111=>463
[10,8,6,5,4,3,2,1,7,9]=>111111010=>506
[10,8,5,7,4,3,2,6,1,9]=>111110010=>498
[10,5,9,7,4,3,2,6,8,1]=>111110100=>500
[10,9,8,5,7,4,3,2,6,1]=>111110011=>499
[10,8,4,7,6,3,5,2,1,9]=>111101010=>490
[10,4,9,7,6,3,5,2,8,1]=>111101100=>492
[10,4,9,6,8,3,5,7,2,1]=>111101000=>488
[10,9,8,4,7,6,3,5,2,1]=>111101011=>491
[10,7,9,6,5,4,3,2,8,1]=>111111100=>508
[10,6,9,8,5,4,3,7,2,1]=>111111010=>506
[10,5,9,8,7,4,6,3,2,1]=>111110110=>502
[3,5,6,2,4,7,8,1]=>1100000=>96
[3,5,6,7,2,4,8,1]=>1100000=>96
[3,5,7,6,8,2,4,1]=>1100010=>98
[3,5,7,2,6,8,4,1]=>1101000=>104
[3,5,2,7,6,8,4,1]=>1101010=>106
[3,5,7,4,2,6,8,1]=>1101000=>104
[3,5,4,7,2,6,8,1]=>1101000=>104
[3,4,5,7,2,6,8,1]=>1100000=>96
[3,4,5,7,2,8,6,1]=>1100010=>98
[3,5,4,7,8,2,6,1]=>1101000=>104
[3,5,4,7,2,8,6,1]=>1101010=>106
[3,2,5,7,4,8,6,1]=>1101010=>106
[3,5,7,4,2,8,6,1]=>1101010=>106
[3,5,7,8,4,2,6,1]=>1101000=>104
[2,3,5,7,8,4,6,1]=>1001000=>72
[3,5,2,7,8,6,4,1]=>1101010=>106
[3,5,7,8,2,6,4,1]=>1101000=>104
[3,5,7,8,6,2,4,1]=>1100010=>98
[3,2,5,6,7,8,9,1,4]=>11000000=>192
[4,2,5,6,7,3,8,1]=>1110000=>112
[4,2,5,6,7,8,9,3,1]=>11100000=>224
[8,6,1,4,3,5,2,7]=>1110010=>114
[6,1,8,4,3,5,2,7]=>1111000=>120
[5,1,6,4,8,2,3,7]=>1101000=>104
[8,1,4,2,5,3,6,7]=>1110000=>112
[2,8,4,1,5,3,6,7]=>1011000=>88
[8,4,1,3,5,2,6,7]=>1101000=>104
[4,1,8,3,5,2,6,7]=>1110000=>112
[8,3,1,2,5,4,6,7]=>1011000=>88
[3,1,8,2,5,4,6,7]=>1101000=>104
[4,2,5,1,8,7,6,3]=>1110011=>115
[5,2,4,8,1,7,6,3]=>1110010=>114
[7,3,2,4,6,8,1,5]=>1110000=>112
[1,4,8,6,7,2,5,3]=>0110010=>50
[1,4,5,7,3,8,2,6]=>0110000=>48
[1,2,5,6,7,4,8,9,3]=>00110000=>48
[4,6,8,1,2,5,3,7]=>1010000=>80
[3,5,6,8,2,1,4,7]=>1100000=>96
[8,2,5,4,1,3,7,6]=>1101010=>106
[2,4,5,8,6,3,1,7]=>1010010=>82
[5,4,8,2,3,1,7,6]=>1101010=>106
[4,7,5,8,2,3,1,6]=>1100100=>100
[4,6,7,5,1,8,3,2]=>1110100=>116
[1,7,3,6,5,8,2,4]=>0110100=>52
[8,3,4,2,6,7,1,5]=>1110000=>112
[7,5,3,8,6,2,1,4]=>1110110=>118
[7,3,1,8,2,6,5,4]=>1111100=>124
[4,6,7,5,2,8,3,1]=>1110100=>116
[5,8,7,2,4,3,1,6]=>1110001=>113
[5,1,2,8,6,7,3,4]=>1010010=>82
[2,5,7,8,6,1,4,3]=>1010010=>82
[7,2,6,8,4,5,1,3]=>1101000=>104
[5,1,7,6,8,2,3,4]=>1100010=>98
[1,7,6,2,4,3,8,5]=>0110110=>54
[7,1,6,2,4,5,3,8]=>1110000=>112
[5,7,1,6,2,3,4,8]=>1100000=>96
[6,2,5,8,3,4,1,7]=>1110000=>112
[5,6,8,7,1,3,2,4]=>1100001=>97
[1,5,3,4,8,2,6,7]=>0110000=>48
[2,1,3,6,5,8,4,7]=>1001100=>76
[2,8,6,5,7,4,3,1]=>1011110=>94
[2,8,6,5,7,4,1,3]=>1001110=>78
[6,5,2,7,4,3,1,8]=>1111100=>124
[6,5,2,8,4,3,7,1]=>1111100=>124
[7,5,8,3,4,2,1,6]=>1110100=>116
[7,6,8,5,2,4,1,3]=>1100110=>102
[5,3,7,2,4,1,8,6]=>1110010=>114
[5,1,2,8,6,3,7,4]=>1011010=>90
[6,1,5,7,2,4,3,8]=>1110000=>112
[4,1,8,2,6,5,7,3]=>1110100=>116
[6,1,4,7,8,5,3,2]=>1110100=>116
[6,1,5,7,8,4,2,3]=>1101000=>104
[4,6,1,5,7,2,8,3]=>1110000=>112
[2,5,8,4,6,3,7,1]=>1011000=>88
[4,3,7,1,2,6,8,5]=>1010100=>84
[8,1,6,5,2,7,4,3]=>1111100=>124
[6,8,1,5,2,7,4,3]=>1111000=>120
[5,6,2,7,4,8,3,1]=>1111000=>120
[1,7,3,2,4,8,6,5]=>0110110=>54
[4,3,1,8,2,6,7,5]=>1110100=>116
[4,8,1,3,2,5,7,6]=>1100010=>98
[1,7,5,3,8,6,2,4]=>0110110=>54
[2,5,3,8,1,4,7,6]=>1010010=>82
[4,2,5,8,1,3,7,6]=>1100010=>98
[8,1,2,4,3,5,7,6]=>1010010=>82
[2,4,3,8,1,5,7,6]=>1010010=>82
[3,1,7,4,8,6,5,2]=>1101110=>110
[6,4,5,3,2,8,7,1]=>1111001=>121
[2,7,3,8,5,1,6,4]=>1011100=>92
[8,7,3,2,5,6,4,1]=>1111001=>121
[3,1,8,2,6,5,4,7]=>1101100=>108
[7,6,2,8,1,4,5,3]=>1110010=>114
[2,3,8,4,1,5,7,6]=>1001010=>74
[8,4,2,3,1,5,7,6]=>1101010=>106
[8,2,3,4,1,5,7,6]=>1100010=>98
[7,1,6,2,4,8,3,5]=>1110000=>112
[2,7,8,1,4,3,6,5]=>1010100=>84
[6,5,8,1,3,2,4,7]=>1100100=>100
[2,1,8,5,3,4,6,7]=>1010100=>84
[8,4,1,3,2,5,6,7]=>1101000=>104
[8,6,1,2,3,5,4,7]=>1001010=>74
[7,8,1,5,2,4,6,3]=>1110000=>112
[2,8,6,3,1,5,4,7]=>1011010=>90
[5,7,2,8,4,1,6,3]=>1111000=>120
[2,5,6,3,8,1,4,7]=>1010000=>80
[1,3,4,5,6,7,2,8,9]=>01000000=>64
[7,4,5,6,8,1,3,2]=>1101000=>104
[7,6,8,1,4,5,3,2]=>1110010=>114
[7,5,1,8,4,6,3,2]=>1111100=>124
[1,7,8,5,6,4,3,2]=>0111100=>60
[2,8,1,7,4,5,3,6]=>1011000=>88
[7,3,6,2,5,4,8,1]=>1111000=>120
[1,6,2,3,5,8,4,7]=>0101000=>40
[1,8,5,6,4,3,7,2]=>0111100=>60
[2,6,8,4,5,1,7,3]=>1011000=>88
[4,6,5,7,8,1,3,2]=>1100100=>100
[2,5,8,6,4,7,1,3]=>1001010=>74
[5,3,2,1,7,8,4,6]=>1111000=>120
[8,4,1,3,6,7,2,5]=>1101000=>104
[1,6,5,3,8,4,7,2]=>0111100=>60
[7,6,2,3,5,1,4,8]=>1100010=>98
[6,2,5,3,4,8,1,7]=>1110000=>112
[6,2,5,3,4,8,7,1]=>1110001=>113
[2,6,5,3,4,8,1,7]=>1010100=>84
[5,3,4,8,1,7,2,6]=>1110000=>112
[5,1,3,4,8,7,2,6]=>1100001=>97
[1,5,3,4,8,7,2,6]=>0110001=>49
[5,1,3,8,4,7,6,2]=>1101010=>106
[5,3,8,1,4,7,6,2]=>1110010=>114
[4,3,5,8,1,7,6,2]=>1110010=>114
[3,6,5,4,8,1,2,7]=>1001100=>76
[3,6,5,4,8,2,7,1]=>1101100=>108
[3,5,2,4,8,7,6,1]=>1100011=>99
[2,5,3,6,8,4,1,7]=>1011000=>88
[4,6,2,5,1,7,8,3]=>1110000=>112
[2,3,6,5,8,4,1,7]=>1001100=>76
[2,3,1,7,4,8,6,5]=>1001110=>78
[2,3,8,7,6,4,1,5]=>1001011=>75
[2,6,3,7,4,1,5,8]=>1011000=>88
[7,5,2,3,1,6,4,8]=>1101100=>108
[1,8,3,6,4,2,7,5]=>0111100=>60
[2,1,7,4,8,5,3,6]=>1011100=>92
[8,1,7,3,2,5,4,6]=>1111000=>120
[7,8,5,2,6,4,3,1]=>1111100=>124
[4,2,8,1,3,6,7,5]=>1100100=>100
[8,1,2,5,7,4,6,3]=>1011000=>88
[7,4,6,3,1,2,5,8]=>1011000=>88
[6,4,1,3,7,2,5,8]=>1101000=>104
[3,7,5,1,4,6,2,8]=>1100100=>100
[6,8,7,4,1,5,2,3]=>1101001=>105
[8,6,4,7,5,1,3,2]=>1101110=>110
[6,1,2,4,7,8,3,5]=>1010000=>80
[2,4,6,5,7,1,8,3]=>1010100=>84
[3,2,8,9,10,1,4,5,6,7]=>110000000=>384
[4,2,6,7,8,5,3,1]=>1110100=>116
[6,2,4,7,8,5,3,1]=>1110100=>116
[3,5,2,1,7,8,6,4]=>1101010=>106
[4,2,7,8,6,5,1,3]=>1100110=>102
[1,2,7,8,6,4,5,3]=>0011010=>26
[4,8,1,2,6,5,3,7]=>1010100=>84
[7,1,6,3,2,4,8,5]=>1110100=>116
[6,4,8,1,2,3,7,5]=>1001100=>76
[7,4,1,3,6,8,5,2]=>1101100=>108
[7,1,8,3,2,6,5,4]=>1111100=>124
[7,2,5,1,6,4,3,8]=>1111000=>120
[5,2,7,1,4,6,3,8]=>1110000=>112
[6,3,8,5,7,1,4,2]=>1110100=>116
[2,4,3,8,5,7,1,6]=>1010100=>84
[2,8,3,1,4,6,5,7]=>1010100=>84
[4,5,7,6,1,3,8,2]=>1100010=>98
[3,7,1,6,5,8,2,4]=>1100100=>100
[7,4,3,6,8,2,1,5]=>1111000=>120
[3,8,5,4,7,6,1,2]=>1001110=>78
[1,4,6,8,7,3,5,2]=>0110001=>49
[4,6,5,1,3,8,7,2]=>1100101=>101
[5,4,6,2,1,8,7,3]=>1111001=>121
[3,2,8,5,1,4,6,7]=>1100100=>100
[3,5,4,1,2,8,6,7]=>1001010=>74
[5,3,8,1,4,2,6,7]=>1110000=>112
[5,3,8,1,4,2,7,6]=>1110010=>114
[1,4,7,5,8,6,2,3]=>0100110=>38
[8,5,7,6,3,4,1,2]=>1010110=>86
[7,5,2,6,1,4,8,3]=>1110100=>116
[2,4,5,1,8,3,7,6]=>1010010=>82
[7,2,8,5,3,4,1,6]=>1110100=>116
[6,4,5,3,1,7,8,2]=>1111000=>120
[7,3,5,6,4,1,8,2]=>1111000=>120
[1,4,7,6,8,5,2,3]=>0100110=>38
[2,3,4,7,8,9,1,5,6]=>10000000=>128
[2,3,6,7,8,9,1,4,5]=>10000000=>128
[2,5,6,7,8,9,1,3,4]=>10000000=>128
[2,3,4,5,1,9,6,7,8]=>10000100=>132
[2,3,4,1,8,9,5,6,7]=>10001000=>136
[2,3,4,5,8,9,10,1,6,7]=>100000000=>256
[2,3,1,7,8,9,4,5,6]=>10010000=>144
[2,3,4,7,8,9,10,1,5,6]=>100000000=>256
[2,1,6,7,8,9,3,4,5]=>10100000=>160
[2,3,6,7,8,9,10,1,4,5]=>100000000=>256
[2,5,6,7,8,9,10,1,3,4]=>100000000=>256
[2,5,6,3,4,1,8,7]=>1010001=>81
[4,6,2,1,5,8,3,7]=>1110000=>112
[4,6,7,2,3,8,5,1]=>1100100=>100
[2,3,5,8,7,4,1,6]=>1001001=>73
[2,3,5,8,7,4,6,1]=>1001001=>73
[4,5,3,7,8,1,2,6]=>1010000=>80
[2,3,5,8,1,6,4,7]=>1001000=>72
[1,7,4,5,8,3,6,2]=>0111000=>56
[8,6,1,5,4,2,7,3]=>1111010=>122
[2,8,5,6,3,1,4,7]=>1010100=>84
[4,8,2,6,1,5,7,3]=>1110000=>112
[2,3,7,8,1,5,4,6]=>1001000=>72
[5,2,6,7,8,3,1,4]=>1110000=>112
[5,6,2,7,8,3,1,4]=>1110000=>112
[2,3,7,5,8,4,6,1]=>1001100=>76
[3,7,8,5,1,4,6,2]=>1100100=>100
[2,5,6,7,1,8,4,3]=>1011000=>88
[8,5,3,6,4,2,1,7]=>1111100=>124
[2,3,7,8,5,4,6,1]=>1001100=>76
[6,4,7,8,1,2,5,3]=>1011000=>88
[7,5,8,1,2,3,6,4]=>1001100=>76
[1,2,8,7,4,6,5,3]=>0011101=>29
[5,1,4,8,7,3,6,2]=>1110001=>113
[4,3,1,8,7,5,6,2]=>1110101=>117
[4,3,2,7,6,1,5,8]=>1110010=>114
[7,2,6,5,3,1,4,8]=>1110100=>116
[1,3,7,6,2,4,8,5]=>0100110=>38
[1,3,8,2,7,4,6,5]=>0101100=>44
[8,2,7,1,6,4,3,5]=>1111000=>120
[4,3,2,8,1,7,5,6]=>1110100=>116
[7,5,4,1,6,3,8,2]=>1111100=>124
[1,6,5,3,2,4,8,7]=>0110101=>53
[1,7,3,5,2,4,8,6]=>0110010=>50
[4,3,7,2,5,1,6,8]=>1110000=>112
[5,1,4,3,2,6,8,7]=>1110001=>113
[7,2,1,3,5,4,6,8]=>1101000=>104
[8,3,7,5,4,2,6,1]=>1111100=>124
[1,6,8,7,5,2,3,4]=>0100101=>37
[4,3,6,1,8,5,2,7]=>1110100=>116
[1,3,6,2,5,4,8,7]=>0101001=>41
[1,4,8,7,3,6,2,5]=>0110001=>49
[1,2,7,3,8,4,9,5,10,6]=>001111000=>120
[3,6,5,1,4,7,8,2]=>1100100=>100
[5,4,1,8,7,3,6,2]=>1111001=>121
[6,2,4,7,5,3,1,8]=>1110100=>116
[6,2,5,1,8,7,3,4]=>1110001=>113
[3,2,6,1,5,8,7,4]=>1101001=>105
[1,6,3,8,4,7,2,5]=>0111000=>56
[8,1,5,2,4,7,3,6]=>1110000=>112
[7,5,8,1,4,2,3,6]=>1100100=>100
[4,1,2,3,6,5,8,7,9]=>10001010=>138
[4,1,2,3,6,5,8,7,10,9]=>100010101=>277
[4,1,6,2,3,5,8,7,9]=>11000010=>194
[1,3,4,8,5,6,2,7]=>0100100=>36
[3,2,7,1,8,6,5,4]=>1101110=>110
[1,3,8,5,6,7,2,4]=>0100100=>36
[6,2,4,1,5,7,8,3]=>1110000=>112
[5,8,4,1,3,6,7,2]=>1101000=>104
[6,7,2,3,8,1,4,5]=>1100000=>96
[3,2,7,4,8,1,5,6]=>1101000=>104
[5,2,8,1,7,4,6,3]=>1111000=>120
[2,5,4,7,3,1,8,6]=>1011010=>90
[4,6,3,1,2,5,7,8]=>1010000=>80
[7,4,6,8,3,1,2,5]=>1011000=>88
[8,5,4,7,3,1,2,6]=>1011100=>92
[7,3,2,1,5,4,8,6]=>1111010=>122
[2,5,6,4,8,1,3,7]=>1001000=>72
[5,4,1,6,2,3,7,8]=>1101000=>104
[1,3,6,5,2,4,7,8]=>0100100=>36
[6,4,5,1,2,8,7,3]=>1011001=>89
[5,4,1,2,7,6,3,8]=>1011010=>90
[5,8,7,3,1,2,4,6]=>1010001=>81
[2,7,8,1,4,5,3,6]=>1010000=>80
[4,1,2,8,7,3,6,5]=>1010101=>85
[6,1,2,4,3,8,7,5]=>1010101=>85
[3,7,8,1,2,4,6,5]=>1000100=>68
[7,3,4,1,2,6,8,5]=>1010100=>84
[8,4,3,1,2,6,5,7]=>1011100=>92
[3,8,2,7,4,5,1,6]=>1101000=>104
[8,6,2,3,5,4,1,7]=>1101010=>106
[8,2,6,1,3,5,4,7]=>1101000=>104
[8,4,3,7,2,5,6,1]=>1111000=>120
[8,3,1,7,4,5,2,6]=>1111000=>120
[8,2,4,5,1,7,3,6]=>1110000=>112
[6,8,2,4,5,1,7,3]=>1110000=>112
[4,3,8,1,7,5,6,2]=>1110100=>116
[8,4,3,7,1,5,6,2]=>1111000=>120
[8,3,4,7,2,6,5,1]=>1110100=>116
[8,1,3,7,6,4,5,2]=>1101010=>106
[8,3,7,1,4,5,6,2]=>1110000=>112
[8,7,3,6,1,2,5,4]=>1011001=>89
[8,3,7,6,2,4,5,1]=>1110010=>114
[8,7,2,3,6,1,5,4]=>1101001=>105
[8,2,7,1,3,4,6,5]=>1100100=>100
[5,1,8,4,2,3,7,6]=>1101010=>106
[8,2,4,7,3,1,6,5]=>1110100=>116
[8,2,7,6,3,1,4,5]=>1110010=>114
[6,8,1,4,7,3,2,5]=>1110000=>112
[8,5,7,2,6,3,1,4]=>1110100=>116
[5,8,2,7,3,1,6,4]=>1111000=>120
[8,1,2,6,7,5,4,3]=>1011100=>92
[8,4,1,7,5,6,2,3]=>1101100=>108
[8,2,4,7,6,5,1,3]=>1100110=>102
[8,2,7,6,4,5,1,3]=>1101010=>106
[8,4,7,2,3,6,5,1]=>1101100=>108
[8,2,4,7,3,6,5,1]=>1110100=>116
[8,1,7,6,4,5,2,3]=>1101010=>106
[8,1,2,7,6,4,5,3]=>1011010=>90
[8,1,4,7,3,6,5,2]=>1110100=>116
[2,3,1,9,8,7,6,5,4]=>10011111=>159
[3,4,2,1,9,8,7,6,5]=>11001111=>207
[4,5,3,2,1,9,8,7,6]=>11100111=>231
[5,6,4,3,2,1,9,8,7]=>11110011=>243
[6,7,5,4,3,2,1,9,8]=>11111001=>249
[2,8,1,5,3,7,6,4]=>1011010=>90
[1,8,2,4,7,5,6,3]=>0110100=>52
[2,3,8,4,7,1,6,5]=>1001100=>76
[1,8,2,3,5,6,4,7]=>0101000=>40
[1,4,7,6,2,3,5,8]=>0100010=>34
[1,7,6,2,3,8,4,5]=>0101010=>42
[1,8,2,3,7,6,4,5]=>0101010=>42
[1,7,3,8,6,2,5,4]=>0111010=>58
[5,8,2,3,7,4,1,6]=>1101000=>104
[4,2,8,3,7,6,1,5]=>1110010=>114
[1,3,5,6,4,8,2,7]=>0101000=>40
[3,1,7,8,5,2,4,6]=>1100100=>100
[7,1,2,3,4,5,9,6,10,8]=>100001010=>266
[4,6,1,8,2,7,5,3]=>1110100=>116
[6,3,5,2,8,4,7,1]=>1111000=>120
[1,6,3,5,2,8,4,7]=>0111000=>56
[5,4,8,6,3,7,2,1]=>1111010=>122
[6,4,5,8,1,3,7,2]=>1101000=>104
[6,3,5,1,8,4,7,2]=>1111000=>120
[2,6,3,1,5,8,4,7]=>1011000=>88
[2,5,4,8,6,3,1,7]=>1011010=>90
[2,5,4,8,6,3,7,1]=>1011010=>90
[1,2,5,4,8,6,3,7]=>0011010=>26
[6,4,5,8,2,1,7,3]=>1111000=>120
[5,3,4,1,2,6,8,7]=>1010001=>81
[1,4,3,5,2,8,6,7]=>0110010=>50
[1,3,5,4,8,2,6,7]=>0101000=>40
[3,5,4,8,2,6,1,7]=>1101000=>104
[3,6,4,5,1,2,8,7]=>1001001=>73
[4,3,5,1,8,6,2,7]=>1110010=>114
[3,5,4,8,1,6,2,7]=>1101000=>104
[3,4,8,5,6,1,2,7]=>1000100=>68
[3,4,8,5,6,2,1,7]=>1100100=>100
[3,5,4,8,1,6,7,2]=>1101000=>104
[2,4,3,1,5,8,6,7]=>1010010=>82
[1,7,6,2,5,4,8,3]=>0111010=>58
[5,6,1,7,4,3,8,2]=>1111000=>120
[3,7,2,1,5,6,8,4]=>1101000=>104
[3,1,5,6,4,2,7,8]=>1101000=>104
[8,3,4,1,6,5,7,2]=>1110100=>116
[8,1,6,4,3,5,2,7]=>1111000=>120
[1,3,7,8,2,6,4,5]=>0101000=>40
[2,1,6,5,3,8,7,4]=>1011101=>93
[3,7,5,6,4,2,1,8]=>1101100=>108
[6,1,4,3,7,5,8,2]=>1110100=>116
[4,6,8,5,3,7,2,1]=>1110100=>116
[4,6,8,5,1,3,7,2]=>1100100=>100
[8,3,5,4,6,1,2,7]=>1011000=>88
[3,4,5,6,1,7,2,9,8]=>11000001=>193
[1,7,4,5,2,6,8,3]=>0111000=>56
[1,4,5,9,6,7,2,8,3]=>01100100=>100
[3,4,5,6,7,1,8,2,10,9]=>110000001=>385
[2,4,5,9,6,1,7,3,8]=>10100100=>164
[3,4,5,7,6,1,9,2,8]=>11000100=>196
[1,4,2,6,5,3,8,7]=>0110101=>53
[3,1,5,8,4,6,2,7]=>1101000=>104
[3,5,6,9,7,1,8,2,4]=>11000010=>194
[1,4,8,5,6,2,7,9,3]=>01101000=>104
[1,4,5,6,10,7,8,2,9,3]=>011000100=>196
[2,4,5,6,10,7,1,8,3,9]=>101000100=>324
[3,4,5,6,8,7,1,10,2,9]=>110000100=>388
[2,5,9,6,7,3,1,4,8]=>10100100=>164
[4,1,5,2,7,6,3,9,8]=>11100101=>229
[3,4,1,6,9,5,7,2,8]=>11001000=>200
[8,2,6,3,4,1,5,7]=>1110000=>112
[4,6,5,8,2,1,3,7]=>1100100=>100
[1,4,8,3,5,6,2,7]=>0110000=>48
[1,8,7,4,2,3,6,5]=>0101101=>45
[6,7,9,8,1,3,4,2,5]=>11000001=>193
[9,1,5,2,8,6,3,7,4]=>11110100=>244
[3,5,6,7,10,8,1,9,2,4]=>110000010=>386
[1,7,4,5,2,6,8,9,3]=>01110000=>112
[1,4,5,9,6,7,2,8,10,3]=>011001000=>200
[4,3,1,8,5,7,2,6]=>1110100=>116
[7,3,2,4,8,1,6,5]=>1110100=>116
[3,7,2,4,5,8,1,6]=>1100000=>96
[3,2,7,4,6,1,8,5]=>1101100=>108
[8,3,2,4,6,1,7,5]=>1110100=>116
[8,3,2,4,5,7,1,6]=>1110000=>112
[7,4,6,2,1,3,8,5]=>1101100=>108
[3,6,7,2,4,1,8,5]=>1100100=>100
[8,4,7,2,3,5,6,1]=>1101000=>104
[3,8,6,7,1,5,4,2]=>1101010=>106
[4,3,2,8,6,1,5,7]=>1110010=>114
[4,1,6,3,2,5,7,8]=>1110000=>112
[5,7,1,8,4,3,6,2]=>1111000=>120
[5,4,8,7,6,2,3,1]=>1101011=>107
[8,4,6,3,1,5,2,7]=>1111000=>120
[3,6,1,5,2,4,7,8]=>1100000=>96
[3,7,6,2,5,4,1,8]=>1101010=>106
[2,7,1,5,3,4,6,8]=>1010000=>80
[8,4,5,1,2,7,6,3]=>1011010=>90
[5,2,3,8,7,1,6,4]=>1101001=>105
[7,5,2,4,1,3,8,6]=>1100110=>102
[7,2,6,8,5,1,3,4]=>1100100=>100
[8,6,5,4,1,3,7,2]=>1101110=>110
[8,2,3,4,1,6,7,5]=>1100100=>100
[9,2,3,4,5,6,1,8,7]=>11000010=>194
[9,2,3,4,5,1,7,8,6]=>11000100=>196
[9,2,3,4,1,6,7,8,5]=>11001000=>200
[9,2,3,1,5,6,7,8,4]=>11010000=>208
[9,2,1,4,5,6,7,8,3]=>11100000=>224
[10,2,3,4,5,6,7,1,9,8]=>110000010=>386
[5,2,3,4,1,9,6,8,7]=>11000110=>198
[10,2,3,4,5,6,1,8,9,7]=>110000100=>388
[4,2,3,1,9,5,7,8,6]=>11001100=>204
[10,2,3,4,5,1,7,8,9,6]=>110001000=>392
[3,2,1,9,4,6,7,8,5]=>11011000=>216
[10,2,3,4,1,6,7,8,9,5]=>110010000=>400
[2,1,9,3,5,6,7,8,4]=>10110000=>176
[10,2,3,1,5,6,7,8,9,4]=>110100000=>416
[10,2,1,4,5,6,7,8,9,3]=>111000000=>448
[7,4,3,8,1,6,5,2]=>1111100=>124
[6,5,1,4,3,8,7,2]=>1110101=>117
[4,7,6,2,5,8,1,3]=>1100010=>98
[6,3,2,4,5,8,1,7]=>1110000=>112
[2,6,4,5,8,3,1,7]=>1011000=>88
[3,7,4,8,6,2,5,1]=>1101010=>106
[7,3,5,2,8,1,4,6]=>1110000=>112
[1,5,8,7,4,2,3,6]=>0101001=>41
[1,7,2,4,5,8,6,3]=>0110010=>50
[1,4,6,8,7,2,5,3]=>0110001=>49
[1,6,2,7,5,3,4,8]=>0110100=>52
[1,3,7,2,6,4,5,8]=>0101000=>40
[1,7,3,2,8,5,6,4]=>0111100=>60
[1,6,5,2,4,8,3,7]=>0110100=>52
[1,7,3,8,4,2,5,6]=>0111000=>56
[1,6,2,4,7,5,8,3]=>0110100=>52
[1,6,2,7,4,3,8,5]=>0111100=>60
[1,5,8,2,3,6,4,7]=>0101000=>40
[6,8,9,1,2,3,4,5,7]=>10000000=>128
[5,8,9,1,2,3,4,6,7]=>10000000=>128
[2,5,3,6,7,1,4,8]=>1010000=>80
[6,4,1,5,7,2,3,8]=>1101000=>104
[6,4,1,5,7,3,8,2]=>1111000=>120
[1,2,7,3,8,5,6,4]=>0011100=>28
[7,4,1,6,3,8,2,5]=>1111000=>120
[1,5,7,4,3,8,6,2]=>0111010=>58
[2,7,3,1,4,5,8,6]=>1010010=>82
[2,3,4,5,1,7,6,9,8]=>10000101=>133
[2,3,4,1,6,5,8,7,9]=>10001010=>138
[2,3,4,5,6,7,1,9,8,10]=>100000010=>258
[2,3,4,5,1,8,6,9,7]=>10000110=>134
[2,3,4,1,7,5,8,6,9]=>10001100=>140
[2,3,4,5,1,7,6,9,8,10]=>100001010=>266
[6,5,8,3,2,7,1,4]=>1110100=>116
[8,4,3,1,7,6,5,2]=>1111110=>126
[1,2,6,7,5,3,4,8]=>0010100=>20
[1,2,6,8,7,4,5,3]=>0011001=>25
[3,4,5,6,7,9,1,8,2]=>11000000=>192
[3,4,5,6,8,2,7,1]=>1100000=>96
[3,4,5,6,7,8,10,1,9,2]=>110000000=>384
[3,4,5,6,7,9,2,8,1]=>11000000=>192
[3,4,5,6,7,1,9,8,2]=>11000001=>193
[7,2,1,4,5,6,3,8]=>1110000=>112
[1,5,6,7,3,4,2,8]=>0110000=>48
[4,6,8,5,2,1,7,3]=>1110100=>116
[1,6,7,8,2,4,5,3]=>0110000=>48
[4,7,8,2,1,3,5,6]=>1100000=>96
[5,7,8,3,2,4,6,1]=>1110000=>112
[5,7,8,2,3,1,6,4]=>1101000=>104
[5,3,4,2,1,9,8,7,6]=>11100111=>231
[6,5,3,4,2,1,9,8,7]=>11101011=>235
[7,6,4,5,3,2,1,9,8]=>11110101=>245
[4,5,2,7,8,6,1,3]=>1100010=>98
[1,3,5,8,7,2,6,4]=>0101001=>41
[6,4,1,8,5,7,3,2]=>1111100=>124
[4,1,3,8,7,5,2,6]=>1100101=>101
[8,5,1,6,7,2,4,3]=>1110100=>116
[3,6,7,2,1,5,8,4]=>1101000=>104
[2,5,6,1,3,8,7,4]=>1001001=>73
[7,2,5,6,1,3,8,4]=>1101000=>104
[6,4,1,2,5,8,3,7]=>1011000=>88
[4,6,3,5,7,1,8,2]=>1110000=>112
[4,7,3,5,2,6,8,1]=>1110000=>112
[2,3,5,4,7,1,8,6]=>1001010=>74
[6,8,4,1,5,7,3,2]=>1111000=>120
[8,1,6,2,3,7,5,4]=>1101100=>108
[7,8,9,6,1,2,3,4,10,5]=>100011000=>280
[2,8,9,10,7,1,3,4,5,6]=>100000100=>260
[8,9,7,5,6,1,2,3,10,4]=>100110100=>308
[2,9,10,8,6,7,1,3,4,5]=>100001010=>266
[7,8,9,5,1,2,3,4,10,6]=>100011000=>280
[7,8,9,1,6,2,3,4,10,5]=>110010000=>400
[2,8,9,10,6,1,3,4,5,7]=>100001000=>264
[2,8,9,10,1,7,3,4,5,6]=>101000000=>320
[2,8,3,6,4,1,7,5]=>1011100=>92
[6,5,3,4,8,2,1,7]=>1110100=>116
[5,4,8,7,3,6,2,1]=>1111001=>121
[3,4,5,1,2,6,7,8,9]=>10000000=>128
[5,2,7,6,8,3,4,1]=>1110010=>114
[7,3,4,2,8,5,6,1]=>1110100=>116
[4,2,3,5,6,7,8,9,10,1]=>110000000=>384
[1,7,8,4,3,6,5,2]=>0111100=>60
[1,7,8,3,6,5,4,2]=>0111100=>60
[6,4,5,8,7,2,1,3]=>1101001=>105
[5,8,1,7,2,4,3,6]=>1110000=>112
[2,5,7,3,8,1,4,6]=>1010000=>80
[8,3,5,2,1,6,7,4]=>1111000=>120
[2,6,4,7,1,8,5,3]=>1011100=>92
[1,6,5,7,3,8,2,4]=>0110100=>52
[1,8,5,3,7,6,2,4]=>0110110=>54
[6,4,2,3,8,7,5,1]=>1101101=>109
[6,5,1,3,8,4,2,7]=>1101100=>108
[6,1,4,2,7,8,3,5]=>1110000=>112
[6,5,1,3,7,8,4,2]=>1101100=>108
[5,1,3,2,7,8,6,4]=>1101010=>106
[5,6,8,2,4,7,1,3]=>1100000=>96
[6,7,4,2,3,8,5,1]=>1101100=>108
[5,8,7,3,2,4,6,1]=>1110001=>113
[5,1,3,2,6,8,4,7]=>1101000=>104
[5,7,1,4,6,8,2,3]=>1100000=>96
[2,4,1,7,5,6,3,8]=>1010100=>84
[1,4,3,7,6,2,8,5]=>0110110=>54
[1,6,2,5,7,3,8,4]=>0111000=>56
[1,4,3,8,2,5,7,6]=>0110010=>50
[1,5,7,3,6,4,2,8]=>0111000=>56
[1,6,7,2,4,8,3,5]=>0110000=>48
[3,7,2,8,4,1,5,6]=>1101000=>104
[2,4,1,5,3,6,8,7,9]=>10100010=>162
[2,4,1,7,3,8,5,6,9]=>10101000=>168
[5,3,4,1,7,8,6,2]=>1110010=>114
[4,7,6,5,8,2,3,1]=>1100110=>102
[2,3,8,4,5,7,1,6]=>1001000=>72
[4,1,8,3,2,6,5,7]=>1110100=>116
[1,2,6,8,4,3,5,7]=>0011000=>24
[7,2,6,3,1,8,4,5]=>1111000=>120
[5,8,4,1,3,7,2,6]=>1101000=>104
[3,4,2,1,6,8,5,7]=>1100100=>100
[8,1,3,5,6,4,7,2]=>1101000=>104
[3,4,7,1,5,6,2,8]=>1100000=>96
[4,8,2,6,5,3,7,1]=>1110100=>116
[4,8,7,2,5,6,1,3]=>1100001=>97
[5,8,6,4,7,3,2,1]=>1111010=>122
[8,5,2,3,1,6,7,4]=>1101100=>108
[2,8,6,3,5,1,7,4]=>1011010=>90
[8,3,2,6,4,1,7,5]=>1111100=>124
[8,4,1,5,3,6,7,2]=>1111000=>120
[8,3,5,1,4,6,7,2]=>1110000=>112
[8,5,1,3,4,6,7,2]=>1100100=>100
[3,8,6,2,5,4,7,1]=>1101010=>106
[3,8,4,6,5,2,7,1]=>1101100=>108
[8,1,7,4,2,5,3,6]=>1111000=>120
[8,3,2,5,1,4,7,6]=>1110010=>114
[8,4,5,1,2,6,7,3]=>1011000=>88
[8,1,5,3,2,6,7,4]=>1111000=>120
[8,1,5,2,4,6,7,3]=>1110000=>112
[5,2,6,4,1,3,8,7]=>1101001=>105
[7,1,3,5,2,8,6,4]=>1101010=>106
[8,6,4,7,1,3,5,2]=>1101010=>106
[6,8,4,3,2,1,7,5]=>1111100=>124
[2,1,8,5,4,3,7,6]=>1011110=>94
[6,2,8,5,4,1,3,7]=>1101100=>108
[6,4,8,5,3,2,7,1]=>1111100=>124
[9,10,6,7,4,5,2,3,1,8]=>110101000=>424
[8,5,4,6,2,7,1,3]=>1101100=>108
[6,8,5,4,7,2,3,1]=>1101100=>108
[2,5,7,3,4,8,1,6]=>1010000=>80
[5,2,4,7,8,1,3,6]=>1100000=>96
[8,5,9,3,6,1,2,4,7]=>10101000=>168
[9,7,1,5,8,3,6,2,4]=>11100010=>226
[9,7,5,4,1,3,8,2,6]=>11011010=>218
[8,9,4,5,10,1,2,3,6,7]=>100100000=>288
[8,4,3,9,10,1,2,5,6,7]=>101100000=>352
[9,6,10,1,3,7,8,2,4,5]=>110001000=>392
[9,10,6,7,4,5,1,2,3,8]=>100101000=>296
[9,6,4,10,3,7,1,2,5,8]=>101101000=>360
[10,1,8,9,6,7,4,5,2,3]=>110101000=>424
[10,8,6,1,4,9,3,7,2,5]=>111001010=>458
[10,8,6,5,4,1,3,9,2,7]=>110111010=>442
[10,8,7,6,5,4,3,1,2,9]=>101111110=>382
[4,8,5,6,1,2,7,3]=>1010100=>84
[2,5,6,8,7,1,4,3]=>1010001=>81
[1,7,8,5,4,6,2,3]=>0101100=>44
[4,6,8,1,5,2,7,3]=>1110000=>112
[5,3,8,1,2,6,7,4]=>1011000=>88
[8,2,3,6,4,1,7,5]=>1101100=>108
[2,3,7,5,8,6,1,4]=>1000110=>70
[3,8,5,1,2,4,7,6]=>1000110=>70
[1,3,6,4,8,2,7,5]=>0101100=>44
[1,2,3,4,6,5,7,8,9,10]=>000010000=>16
[1,2,3,4,5,6,8,7,9,10]=>000000100=>4
[1,7,6,2,8,5,3,4]=>0110110=>54
[1,5,8,6,4,7,2,3]=>0101010=>42
[5,6,2,8,1,7,3,4]=>1110000=>112
[6,8,4,5,1,3,7,2]=>1101000=>104
[5,2,3,8,1,4,6,7]=>1100000=>96
[1,6,8,3,2,4,5,7]=>0110000=>48
[9,6,5,4,3,2,1,7,8]=>11111100=>252
[10,7,6,5,4,3,2,1,8,9]=>111111100=>508
[9,8,5,4,3,2,1,6,7]=>11111001=>249
[8,6,5,2,4,3,7,1]=>1110110=>118
[6,2,5,3,7,4,8,1]=>1111000=>120
[8,5,4,2,6,3,7,1]=>1111100=>124
[8,5,3,2,6,4,7,1]=>1111100=>124
[7,4,6,5,8,2,3,1]=>1101100=>108
[7,3,6,5,8,2,4,1]=>1110100=>116
[7,3,6,4,8,2,5,1]=>1111000=>120
[7,3,5,4,8,2,6,1]=>1111000=>120
[7,3,6,8,4,5,1,2]=>1011000=>88
[1,6,5,7,4,2,8,3]=>0111100=>60
[1,2,7,4,8,5,6,3]=>0011100=>28
[2,6,7,4,8,5,1,3]=>1001100=>76
[2,5,8,6,4,3,7,1]=>1011010=>90
[6,4,2,5,7,1,8,3]=>1111000=>120
[2,7,5,4,6,8,1,3]=>1001100=>76
[9,1,2,3,4,5,8,7,6]=>10000110=>134
[9,1,2,3,4,8,6,7,5]=>10001100=>140
[8,1,4,7,3,5,6,2]=>1110000=>112
[9,1,2,8,4,5,6,7,3]=>10110000=>176
[8,3,7,2,4,5,6,1]=>1110000=>112
[9,1,8,3,4,5,6,7,2]=>11100000=>224
[10,1,2,3,4,5,6,9,8,7]=>100000110=>262
[9,1,2,3,4,7,8,6,5]=>10001100=>140
[10,1,2,3,4,5,9,7,8,6]=>100001100=>268
[9,1,2,3,6,8,5,7,4]=>10011000=>152
[9,1,2,5,8,4,6,7,3]=>10110000=>176
[10,1,2,3,9,5,6,7,8,4]=>100110000=>304
[8,1,4,5,7,3,6,2]=>1110000=>112
[9,1,4,8,3,5,6,7,2]=>11100000=>224
[10,1,2,9,4,5,6,7,8,3]=>101100000=>352
[9,3,8,2,4,5,6,7,1]=>11100000=>224
[5,6,3,4,2,8,7,1]=>1110001=>113
[2,5,7,4,6,8,1,3]=>1001000=>72
[2,5,6,4,1,3,8,7]=>1001001=>73
[4,6,1,3,5,7,2,8]=>1100000=>96
[3,2,7,5,8,1,6,4]=>1101100=>108
[4,3,6,8,5,2,1,7]=>1110100=>116
[4,5,3,2,1,8,6,7]=>1110010=>114
[3,6,5,8,1,7,4,2]=>1101100=>108
[4,1,6,8,5,2,3,7]=>1100100=>100
[4,5,2,8,6,7,1,3]=>1100010=>98
[4,5,2,8,6,7,3,1]=>1110010=>114
[3,5,8,6,2,4,7,1]=>1100010=>98
[2,5,1,6,4,8,3,7]=>1011000=>88
[3,2,4,5,8,6,1,7]=>1100010=>98
[4,5,2,1,3,8,6,7]=>1100010=>98
[4,2,3,6,8,5,1,7]=>1100100=>100
[4,5,1,3,2,8,6,7]=>1100010=>98
[3,4,5,8,6,1,7,2]=>1100010=>98
[3,4,5,8,6,1,2,7]=>1000010=>66
[6,4,1,3,7,8,2,5]=>1101000=>104
[6,3,1,2,5,4,8,7]=>1011001=>89
[7,3,1,2,5,4,8,6]=>1011010=>90
[8,2,6,4,1,3,7,5]=>1101100=>108
[1,5,8,2,4,3,7,6]=>0110010=>50
[4,3,7,8,2,6,5,1]=>1110100=>116
[3,8,5,1,2,6,7,4]=>1001100=>76
[2,4,7,8,3,6,5,1]=>1010100=>84
[5,4,7,8,3,6,1,2]=>1011000=>88
[6,8,1,3,2,5,7,4]=>1101000=>104
[1,4,8,5,7,2,3,6]=>0100100=>36
[1,8,7,3,2,4,5,6]=>0110001=>49
[8,6,2,7,3,4,1,5]=>1110010=>114
[8,6,2,7,3,4,5,1]=>1110010=>114
[5,6,3,2,8,7,1,4]=>1110001=>113
[5,1,6,7,8,3,2,4]=>1110000=>112
[1,5,6,3,7,2,4,8]=>0110000=>48
[1,5,6,7,4,2,3,8]=>0101000=>40
[5,1,6,7,3,4,2,8]=>1110000=>112
[8,6,1,7,3,4,5,2]=>1110010=>114
[6,8,5,1,7,4,2,3]=>1101100=>108
[8,4,2,3,5,7,6,1]=>1101010=>106
[4,8,5,2,3,1,6,7]=>1100100=>100
[5,4,8,3,1,2,6,7]=>1011000=>88
[8,4,7,3,2,5,6,1]=>1111000=>120
[6,8,5,1,7,3,4,2]=>1110100=>116
[6,2,7,3,8,1,4,5]=>1110000=>112
[8,4,2,6,7,1,5,3]=>1111000=>120
[1,7,8,3,6,5,2,4]=>0110100=>52
[4,6,7,5,1,8,2,3]=>1100100=>100
[3,5,2,6,8,7,4,1]=>1101001=>105
[7,3,6,8,4,1,2,5]=>1011000=>88
[6,4,2,3,7,5,8,1]=>1101100=>108
[6,3,7,5,1,2,8,4]=>1011100=>92
[7,2,5,4,8,6,3,1]=>1111010=>122
[6,2,3,8,7,4,5,1]=>1101001=>105
[7,1,2,8,4,6,5,3]=>1011100=>92
[3,5,8,1,2,7,6,4]=>1001010=>74
[1,4,3,6,8,5,2,7]=>0110100=>52
[7,6,2,8,5,3,4,1]=>1110110=>118
[6,8,3,5,4,7,2,1]=>1111000=>120
[8,2,7,6,4,1,3,5]=>1101010=>106
[8,3,7,5,1,6,2,4]=>1110100=>116
[8,5,7,1,4,2,6,3]=>1110100=>116
[4,7,1,5,6,3,2,8]=>1110000=>112
[4,5,7,1,6,3,8,2]=>1110000=>112
[3,9,2,1,4,5,6,7,8]=>11000000=>192
[4,6,5,7,2,3,8,1]=>1100100=>100
[3,6,7,2,5,8,4,1]=>1101000=>104
[5,3,6,7,4,8,1,2]=>1011000=>88
[4,2,7,8,3,6,5,1]=>1110100=>116
[4,2,7,8,5,6,1,3]=>1100100=>100
[5,4,3,7,8,1,6,2]=>1111000=>120
[3,5,7,8,4,2,1,6]=>1101000=>104
[4,6,7,3,2,8,1,5]=>1110000=>112
[4,6,5,3,7,8,1,2]=>1010100=>84
[5,6,2,4,7,8,3,1]=>1110000=>112
[5,6,3,2,8,4,7,1]=>1111000=>120
[5,6,2,8,3,4,7,1]=>1110000=>112
[3,7,4,8,1,6,5,2]=>1101100=>108
[5,2,4,8,6,7,3,1]=>1110010=>114
[5,2,6,4,8,7,3,1]=>1111001=>121
[2,4,7,8,6,5,1,3]=>1000110=>70
[3,4,5,6,8,9,1,7,2]=>11000000=>192
[3,4,6,7,8,9,1,5,2]=>11000000=>192
[3,5,6,7,8,9,1,4,2]=>11000000=>192
[4,5,6,7,8,9,1,3,2]=>11000000=>192
[3,4,5,6,7,9,10,1,8,2]=>110000000=>384
[3,4,5,7,8,9,10,1,6,2]=>110000000=>384
[5,2,6,7,8,1,4,3]=>1110000=>112
[3,4,6,7,8,9,10,1,5,2]=>110000000=>384
[4,5,6,7,8,9,10,1,3,2]=>110000000=>384
[4,8,2,7,5,3,1,6]=>1110100=>116
[1,2,4,6,5,8,3,7]=>0010100=>20
[5,4,2,3,1,7,8,6]=>1101010=>106
[3,5,8,1,7,4,2,6]=>1101000=>104
[5,8,6,1,7,2,3,4]=>1100010=>98
[5,1,4,3,8,2,6,7]=>1110000=>112
[8,4,7,5,6,2,1,3]=>1101100=>108
[3,8,6,7,5,2,4,1]=>1100110=>102
[8,2,5,4,7,3,6,1]=>1111000=>120
[4,2,8,7,3,6,5,1]=>1110101=>117
[3,7,8,6,1,4,5,2]=>1100010=>98
[4,6,7,8,2,1,5,3]=>1110000=>112
[4,7,6,3,8,1,5,2]=>1110010=>114
[3,8,1,4,6,2,5,7]=>1100000=>96
[2,4,5,3,8,7,1,6]=>1010001=>81
[4,7,5,6,2,8,1,3]=>1100100=>100
[8,7,5,1,6,3,2,4]=>1110101=>117
[7,8,6,2,3,5,1,4]=>1100010=>98
[2,8,4,6,7,3,5,1]=>1011000=>88
[4,1,6,7,8,2,5,3]=>1110000=>112
[8,6,3,4,1,2,7,5]=>1010110=>86
[2,5,8,4,6,1,3,7]=>1001000=>72
[4,7,8,6,5,1,3,2]=>1100110=>102
[8,4,6,7,3,5,2,1]=>1111000=>120
[6,8,4,7,3,5,2,1]=>1111000=>120
[7,4,5,8,3,6,2,1]=>1111000=>120
[8,4,7,3,5,6,2,1]=>1111000=>120
[3,6,4,2,8,1,7,5]=>1101100=>108
[3,4,8,6,2,1,7,5]=>1100110=>102
[8,4,6,2,1,7,3,5]=>1111000=>120
[3,8,6,2,1,7,4,5]=>1101010=>106
[3,1,8,2,4,6,5,7]=>1100100=>100
[8,1,7,6,2,5,4,3]=>1111010=>122
[8,5,4,3,7,6,1,2]=>1011110=>94
[4,8,1,3,6,7,5,2]=>1100100=>100
[3,5,8,6,1,7,4,2]=>1101010=>106
[8,1,4,7,5,2,6,3]=>1110100=>116
[1,4,8,6,7,3,5,2]=>0110010=>50
[4,1,6,7,8,5,3,2]=>1110100=>116
[3,7,8,6,4,1,5,2]=>1101010=>106
[5,4,2,3,6,7,8,9,1]=>11010000=>208
[6,5,4,2,3,7,8,9,1]=>11011000=>216
[7,6,5,4,2,3,8,9,1]=>11011100=>220
[4,6,1,5,7,2,3,8]=>1100000=>96
[4,8,5,3,2,7,1,6]=>1110100=>116
[5,4,8,1,3,7,2,6]=>1101000=>104
[8,4,5,3,1,7,2,6]=>1111000=>120
[7,4,5,3,1,8,6,2]=>1111010=>122
[5,6,8,7,2,4,3,1]=>1110001=>113
[5,7,8,6,4,2,3,1]=>1101010=>106
[6,8,7,5,1,3,2,4]=>1100101=>101
[3,8,2,6,7,5,1,4]=>1100100=>100
[4,7,6,3,8,2,5,1]=>1110010=>114
[6,7,4,1,8,2,5,3]=>1111000=>120
[5,7,6,8,3,2,4,1]=>1110010=>114
[7,6,4,2,8,1,5,3]=>1111010=>122
[6,3,4,8,7,1,2,5]=>1010001=>81
[2,7,4,8,1,6,3,5]=>1011000=>88
[5,3,1,6,7,8,2,4]=>1110000=>112
[3,4,7,8,6,1,2,5]=>1000010=>66
[2,1,4,7,8,6,3,5]=>1010010=>82
[2,4,5,8,1,6,3,7]=>1010000=>80
[3,4,6,8,2,5,7,1]=>1100000=>96
[1,8,5,6,4,2,3,7]=>0101100=>44
[1,8,7,6,2,4,5,3]=>0110011=>51
[6,4,8,5,7,3,1,2]=>1011100=>92
[1,6,4,7,2,5,8,3]=>0111000=>56
[2,7,5,1,8,6,3,4]=>1010110=>86
[4,7,1,6,5,3,8,2]=>1110100=>116
[1,7,5,6,4,8,2,3]=>0101100=>44
[2,4,8,5,7,3,1,6]=>1010100=>84
[8,3,1,4,6,2,7,5]=>1110100=>116
[7,2,6,4,5,8,1,3]=>1101000=>104
[7,2,5,4,6,8,1,3]=>1101000=>104
[4,6,7,8,9,1,2,3,5]=>10000000=>128
[5,7,8,9,1,2,3,4,6]=>10000000=>128
[6,4,5,7,3,8,2,9,1,10]=>111100000=>480
[2,7,1,5,3,8,6,4]=>1011010=>90
[3,5,7,2,8,4,1,6]=>1101000=>104
[2,4,3,8,5,1,7,6]=>1010110=>86
[7,3,2,1,4,8,6,5]=>1110110=>118
[2,8,3,4,1,7,6,5]=>1010110=>86
[4,7,6,8,2,5,3,1]=>1110010=>114
[2,6,7,1,4,5,8,3]=>1010000=>80
[8,7,2,6,1,5,3,4]=>1110001=>113
[7,1,3,8,2,6,4,5]=>1101000=>104
[2,7,3,4,1,5,8,6]=>1010010=>82
[2,5,8,1,6,7,3,4]=>1010000=>80
[6,2,8,3,4,5,1,7]=>1110000=>112
[7,3,4,6,8,2,1,5]=>1110000=>112
[5,1,3,7,2,8,4,6]=>1101000=>104
[5,2,4,6,1,7,8,3]=>1110000=>112
[3,8,4,6,1,5,7,2]=>1101000=>104
[8,7,3,2,5,1,6,4]=>1111001=>121
[3,6,4,1,2,5,8,7]=>1001001=>73
[5,2,7,1,4,3,6,8]=>1110000=>112
[6,3,1,4,2,5,8,7]=>1110001=>113
[5,2,3,1,4,6,8,7]=>1100001=>97
[4,2,7,1,3,5,8,6]=>1100010=>98
[3,5,1,7,6,2,8,4]=>1101010=>106
[8,3,6,2,7,5,4,1]=>1111100=>124
[8,4,2,6,5,3,7,1]=>1111100=>124
[5,4,2,7,1,8,6,3]=>1111010=>122
[4,1,7,6,5,3,2,8]=>1110110=>118
[2,3,6,7,1,8,5,4]=>1001100=>76
[3,6,1,2,7,8,5,4]=>1001100=>76
[4,5,1,8,7,6,3,2]=>1110011=>115
[8,4,5,2,7,6,3,1]=>1111010=>122
[4,1,3,6,7,5,2,8]=>1100100=>100
[3,1,4,5,7,6,2,8]=>1100010=>98
[4,5,1,3,6,8,7,2]=>1100001=>97
[3,8,5,1,2,4,6,7]=>1000100=>68
[8,5,1,2,4,3,6,7]=>1010100=>84
[5,8,4,1,2,3,6,7]=>1001000=>72
[3,5,8,1,4,2,7,6]=>1100010=>98
[2,8,5,7,1,4,3,6]=>1010100=>84
[4,8,7,5,1,2,3,6]=>1000101=>69
[8,1,2,4,6,3,7,5]=>1010100=>84
[7,6,1,4,2,3,8,5]=>1100110=>102
[6,1,2,7,8,4,3,5]=>1011000=>88
[7,8,1,2,5,3,4,6]=>1010000=>80
[1,8,4,7,5,2,3,6]=>0101100=>44
[8,4,7,2,1,6,3,5]=>1111000=>120
[4,5,8,2,1,6,7,3]=>1110000=>112
[7,4,2,5,3,6,1,8]=>1111000=>120
[3,1,6,7,5,2,4,8]=>1100100=>100
[8,4,2,5,3,6,7,1]=>1111000=>120
[4,8,1,5,3,6,7,2]=>1110000=>112
[4,1,7,5,2,6,3,8]=>1110100=>116
[5,1,4,6,3,7,8,2]=>1110000=>112
[7,1,5,3,6,8,2,4]=>1110000=>112
[8,1,5,3,6,7,2,4]=>1110000=>112
[3,6,5,2,4,7,8,1]=>1100100=>100
[1,7,5,4,6,8,2,3]=>0101100=>44
[4,7,8,2,5,6,1,3]=>1100000=>96
[2,8,5,4,6,7,1,3]=>1001100=>76
[7,5,1,3,2,6,4,8,9]=>11011000=>216
[9,6,1,3,4,2,7,8,5]=>11001100=>204
[8,3,6,1,4,2,7,5,9]=>11101000=>232
[9,8,1,7,2,3,4,5,6]=>11000001=>193
[9,3,4,7,1,5,2,8,6]=>11100100=>228
[7,5,1,3,2,6,4,8,9,10]=>110110000=>432
[9,6,1,3,4,2,7,8,5,10]=>110011000=>408
[8,3,6,1,4,2,7,5,9,10]=>111010000=>464
[10,1,8,3,2,5,7,4,9,6]=>111101000=>488
[10,3,7,1,4,5,2,8,9,6]=>111001000=>456
[9,3,4,7,1,5,2,8,6,10]=>111001000=>456
[7,10,1,3,8,2,6,5,9,4]=>110110000=>432
[10,9,5,1,8,2,4,3,6,7]=>111010001=>465
[10,3,4,5,8,1,6,2,9,7]=>111000100=>452
[4,5,2,6,1,8,3,7]=>1110000=>112
[5,1,8,6,7,3,4,2]=>1110010=>114
[6,8,3,2,4,1,5,7]=>1110000=>112
[6,5,2,4,1,7,8,3]=>1110100=>116
[5,4,8,2,1,3,6,7]=>1101000=>104
[1,4,8,3,2,6,5,7]=>0110100=>52
[1,3,8,4,2,7,5,6]=>0101100=>44
[7,2,8,3,1,4,5,6]=>1110000=>112
[8,1,3,2,7,5,4,6]=>1101100=>108
[9,8,7,5,6,4,3,2,10,1]=>111110110=>502
[8,7,5,4,6,3,2,9,1]=>11111010=>250
[8,7,4,6,5,3,2,9,1]=>11111010=>250
[2,3,4,7,8,9,6,5,1]=>10001100=>140
[2,3,6,7,8,9,5,4,1]=>10011000=>152
[2,5,6,7,8,9,4,3,1]=>10110000=>176
[2,3,4,5,6,1,9,8,7]=>10000011=>131
[2,3,4,5,1,9,8,7,6]=>10000111=>135
[2,3,4,5,6,9,10,8,7,1]=>100000110=>262
[2,3,4,1,8,9,7,6,5]=>10001110=>142
[2,3,4,5,8,9,10,7,6,1]=>100001100=>268
[2,3,1,7,8,9,6,5,4]=>10011100=>156
[2,3,4,7,8,9,10,6,5,1]=>100011000=>280
[2,1,6,7,8,9,5,4,3]=>10111000=>184
[2,3,6,7,8,9,10,5,4,1]=>100110000=>304
[2,5,6,7,8,9,10,4,3,1]=>101100000=>352
[9,10,2,4,6,8,1,3,5,7]=>110000000=>384
[7,8,2,4,6,10,1,3,5,9]=>110000000=>384
[9,7,10,2,4,6,8,1,3,5]=>110000100=>388
[8,9,10,7,2,4,6,1,3,5]=>110000100=>388
[5,6,2,4,8,10,1,3,7,9]=>110000000=>384
[5,6,9,10,2,4,8,1,3,7]=>110000000=>384
[7,5,8,2,4,6,10,1,3,9]=>110010000=>400
[7,9,5,10,2,4,6,8,1,3]=>110010000=>400
[5,8,9,10,7,2,4,6,1,3]=>110000100=>388
[6,7,8,5,2,4,10,1,3,9]=>110010000=>400
[9,6,7,5,10,2,4,8,1,3]=>110011000=>408
[8,9,6,10,5,7,2,4,1,3]=>110011000=>408
[7,8,9,10,6,5,2,4,1,3]=>110011000=>408
[3,4,2,6,8,10,1,5,7,9]=>110000000=>384
[3,4,9,10,2,6,8,1,5,7]=>110000000=>384
[3,4,7,8,2,6,10,1,5,9]=>110000000=>384
[9,3,4,7,10,2,6,8,1,5]=>111000000=>448
[8,9,10,3,4,7,2,6,1,5]=>111000000=>448
[5,3,6,2,4,8,10,1,7,9]=>111000000=>448
[5,3,6,9,10,2,4,8,1,7]=>111000000=>448
[5,7,3,8,2,4,6,10,1,9]=>111000000=>448
[5,7,9,3,10,2,4,6,8,1]=>111000000=>448
[8,5,9,10,3,7,2,4,6,1]=>111010000=>464
[3,6,7,8,5,2,4,10,1,9]=>110010000=>400
[9,3,6,7,5,10,2,4,8,1]=>111010000=>464
[6,8,3,9,10,5,7,2,4,1]=>111010000=>464
[7,8,9,10,3,6,5,2,4,1]=>111010000=>464
[4,5,6,3,2,8,10,1,7,9]=>111000000=>448
[4,5,6,3,9,10,2,8,1,7]=>111000000=>448
[7,4,5,3,8,2,6,10,1,9]=>111100000=>480
[7,4,5,9,3,10,2,6,8,1]=>111100000=>480
[4,8,5,9,10,3,7,2,6,1]=>111010000=>464
[6,7,4,8,3,5,2,10,1,9]=>111100000=>480
[6,7,9,4,3,5,10,2,8,1]=>111100000=>480
[8,6,9,4,10,3,5,7,2,1]=>111101000=>488
[7,4,8,9,10,6,3,5,2,1]=>111101000=>488
[5,6,7,8,4,3,2,10,1,9]=>111100000=>480
[9,5,6,7,4,3,10,2,8,1]=>111110000=>496
[8,9,5,6,4,10,3,7,2,1]=>111110000=>496
[7,8,9,5,10,4,6,3,2,1]=>111110000=>496
[7,6,1,8,2,5,4,3]=>1111010=>122
[8,4,1,6,7,3,5,2]=>1111000=>120
[5,8,4,2,1,6,3,7]=>1111000=>120
[7,6,4,1,2,5,3,8]=>1011010=>90
[5,4,2,8,1,6,3,7]=>1111000=>120
[8,7,2,6,4,5,3,1]=>1111001=>121
[7,2,8,4,3,6,1,5]=>1111000=>120
[1,7,5,4,8,6,2,3]=>0101110=>46
[4,8,6,3,5,2,1,7]=>1110010=>114
[5,8,6,3,2,7,1,4]=>1110010=>114
[5,7,6,3,2,4,8,1]=>1110010=>114
[5,7,3,2,8,6,4,1]=>1111010=>122
[4,5,1,6,8,2,7,3]=>1110000=>112
[1,2,4,5,6,8,10,9,3,7]=>001000001=>65
[1,2,3,5,7,8,10,6,9,4]=>000101000=>40
[1,2,4,5,7,8,10,3,9,6]=>001001000=>72
[1,2,4,6,7,5,10,8,3,9]=>001010010=>82
[1,3,4,2,7,8,10,5,9,6]=>010011000=>152
[1,3,4,6,7,2,10,8,5,9]=>010010010=>146
[1,2,3,5,6,9,8,10,7,4]=>000100110=>38
[1,2,4,5,6,9,8,10,3,7]=>001000010=>66
[1,2,3,5,7,9,6,10,8,4]=>000101010=>42
[1,2,4,5,7,9,3,10,8,6]=>001001010=>74
[1,2,4,6,5,9,7,10,3,8]=>001010100=>84
[1,3,4,2,7,9,5,10,8,6]=>010011010=>154
[1,3,4,6,2,9,7,10,5,8]=>010010100=>148
[1,2,3,5,8,7,9,6,10,4]=>000101100=>44
[1,2,4,5,8,7,9,3,10,6]=>001001100=>76
[1,2,4,6,8,5,9,3,10,7]=>001010100=>84
[1,2,4,7,6,8,5,9,3,10]=>001011000=>88
[1,3,4,2,8,7,9,5,10,6]=>010011100=>156
[1,3,4,6,8,2,9,5,10,7]=>010010100=>148
[1,3,4,7,6,8,2,9,5,10]=>010011000=>152
[1,2,3,6,5,9,7,10,8,4]=>000110110=>54
[1,2,4,6,3,9,7,10,8,5]=>001010110=>86
[1,2,5,4,6,9,7,10,3,8]=>001100100=>100
[1,3,2,6,4,9,7,10,8,5]=>010110110=>182
[1,3,5,2,6,9,7,10,4,8]=>010100100=>164
[1,2,3,6,8,5,9,7,10,4]=>000110100=>52
[1,2,4,6,8,3,9,7,10,5]=>001010100=>84
[1,2,5,4,8,6,9,3,10,7]=>001101100=>108
[1,2,5,7,4,8,6,9,3,10]=>001101000=>104
[1,3,2,6,8,4,9,7,10,5]=>010110100=>180
[1,3,5,2,8,6,9,4,10,7]=>010101100=>172
[1,3,5,7,2,8,6,9,4,10]=>010101000=>168
[1,4,3,5,8,2,9,6,10,7]=>011001100=>204
[1,4,3,7,5,8,2,9,6,10]=>011011000=>216
[2,1,3,6,4,9,7,10,8,5]=>100110110=>310
[2,1,5,3,6,9,7,10,4,8]=>101100100=>356
[2,1,3,6,8,4,9,7,10,5]=>100110100=>308
[2,1,5,3,8,6,9,4,10,7]=>101101100=>364
[2,1,5,7,3,8,6,9,4,10]=>101101000=>360
[2,4,1,5,8,3,9,6,10,7]=>101001100=>332
[2,4,1,7,5,8,3,9,6,10]=>101011000=>344
[1,6,3,7,2,4,8,5]=>0110100=>52
[8,9,7,6,5,4,3,1,2]=>10111110=>190
[8,6,7,5,4,3,2,1,9]=>11111100=>252
[8,7,9,6,5,4,3,1,2]=>10111110=>190
[9,7,8,6,5,4,3,1,2]=>10111110=>190
[4,3,7,1,6,2,5,8]=>1110000=>112
[4,3,1,6,7,2,5,8]=>1110000=>112
[6,3,1,5,7,2,4,8]=>1110000=>112
[8,7,9,6,5,4,2,3,1]=>11011110=>222
[5,2,1,4,8,6,7,3]=>1110010=>114
[4,5,2,1,3,7,6,8]=>1100010=>98
[8,2,7,4,1,6,5,3]=>1111100=>124
[3,2,8,4,1,6,5,7]=>1101100=>108
[3,7,6,4,1,5,8,2]=>1101010=>106
[7,1,6,5,4,2,8,3]=>1111100=>124
[7,1,8,4,2,3,6,5]=>1101100=>108
[2,7,6,4,5,1,8,3]=>1011010=>90
[4,6,8,1,7,3,5,2]=>1110000=>112
[3,6,8,1,5,7,4,2]=>1101000=>104
[2,8,3,1,6,7,4,5]=>1011000=>88
[4,5,6,8,2,1,7,3]=>1110000=>112
[4,5,6,8,1,3,7,2]=>1100000=>96
[4,5,8,3,2,1,7,6]=>1110010=>114
[4,5,1,3,2,6,7,8]=>1100000=>96
[4,7,3,2,1,6,5,8]=>1110100=>116
[4,7,8,3,5,1,6,2]=>1110000=>112
[4,7,1,3,5,6,2,8]=>1100000=>96
[4,8,3,2,1,6,7,5]=>1110100=>116
[5,2,8,1,4,6,7,3]=>1110000=>112
[5,6,3,7,8,1,4,2]=>1110000=>112
[5,7,1,4,3,6,2,8]=>1110000=>112
[6,2,3,7,1,5,4,8]=>1101000=>104
[6,2,8,1,5,4,7,3]=>1111000=>120
[6,1,3,4,5,2,7,8]=>1100000=>96
[7,1,3,4,5,6,2,8]=>1100000=>96
[7,2,5,1,3,6,4,8]=>1101000=>104
[6,5,2,7,8,4,3,1]=>1111100=>124
[7,5,3,6,4,2,1,8]=>1111100=>124
[2,3,6,5,8,4,7,1]=>1001100=>76
[1,3,6,7,5,2,4,8]=>0100100=>36
[1,5,2,6,8,7,3,4]=>0110001=>49
[3,2,1,5,6,7,8,9,4]=>11010000=>208
[3,2,6,1,4,7,8,9,5]=>11001000=>200
[4,3,2,1,6,7,8,9,5]=>11101000=>232
[3,2,7,8,1,4,5,9,6]=>11000100=>196
[4,7,2,5,1,3,8,9,6]=>11000100=>196
[4,3,2,7,1,5,8,9,6]=>11100100=>228
[5,4,3,2,1,7,8,9,6]=>11110100=>244
[4,3,2,8,9,1,5,6,7]=>11100000=>224
[8,5,6,3,4,1,2,9,7]=>10101010=>170
[5,3,8,2,6,1,4,9,7]=>11100010=>226
[5,4,3,2,8,1,6,9,7]=>11110010=>242
[6,5,4,3,2,1,8,9,7]=>11111010=>250
[6,9,4,7,2,5,1,3,8]=>11010000=>208
[6,4,3,9,2,7,1,5,8]=>11110000=>240
[6,5,4,3,2,9,1,7,8]=>11111000=>248
[5,6,1,2,3,7,8,9,10,4]=>100100000=>288
[2,5,1,3,6,7,8,9,10,4]=>100100000=>288
[3,2,1,5,6,7,8,9,10,4]=>110100000=>416
[6,7,8,1,2,3,4,9,10,5]=>100010000=>272
[2,6,7,1,3,4,8,9,10,5]=>100010000=>272
[6,3,4,1,2,7,8,9,10,5]=>101010000=>336
[3,2,6,1,4,7,8,9,10,5]=>110010000=>400
[4,3,2,1,6,7,8,9,10,5]=>111010000=>464
[2,7,8,9,1,3,4,5,10,6]=>100001000=>264
[7,3,4,8,1,2,5,9,10,6]=>101001000=>328
[3,2,7,8,1,4,5,9,10,6]=>110001000=>392
[4,7,2,5,1,3,8,9,10,6]=>110001000=>392
[4,3,2,7,1,5,8,9,10,6]=>111001000=>456
[5,4,3,2,1,7,8,9,10,6]=>111101000=>488
[8,3,4,9,10,1,2,5,6,7]=>101000000=>320
[8,9,4,5,6,1,2,3,10,7]=>100100100=>292
[4,3,2,8,9,1,5,6,10,7]=>111000100=>452
[8,5,6,3,4,1,2,9,10,7]=>101010100=>340
[5,3,8,2,6,1,4,9,10,7]=>111000100=>452
[5,4,3,2,8,1,6,9,10,7]=>111100100=>484
[6,5,4,3,2,1,8,9,10,7]=>111110100=>500
[5,9,10,2,6,7,1,3,4,8]=>110000000=>384
[9,5,6,3,4,10,1,2,7,8]=>101010000=>336
[5,3,9,2,6,10,1,4,7,8]=>111000000=>448
[5,4,3,2,9,10,1,6,7,8]=>111100000=>480
[6,9,4,7,2,5,1,3,10,8]=>110100010=>418
[6,4,3,9,2,7,1,5,10,8]=>111100010=>482
[6,5,4,3,2,9,1,7,10,8]=>111110010=>498
[7,6,5,4,3,2,1,9,10,8]=>111111010=>506
[10,7,8,5,6,3,4,1,2,9]=>101010100=>340
[7,5,10,3,8,2,6,1,4,9]=>111010000=>464
[7,5,4,3,10,2,8,1,6,9]=>111110000=>496
[7,6,5,4,3,2,10,1,8,9]=>111111000=>504
[5,3,4,7,2,1,6,8]=>1110000=>112
[7,6,9,5,4,3,2,1,8]=>11111100=>252
[4,8,5,7,1,2,3,6]=>1000100=>68
[4,2,3,7,6,1,8,5]=>1100110=>102
[4,2,6,3,1,5,7,8]=>1110000=>112
[2,1,8,7,4,3,6,5,10,9]=>101110101=>373
[4,6,3,2,5,8,7,1]=>1110001=>113
[5,8,4,3,2,6,1,7]=>1111000=>120
[1,5,7,4,8,6,2,3]=>0101010=>42
[6,1,5,7,3,8,2,4]=>1110000=>112
[1,2,7,8,6,4,3,5]=>0011010=>26
[3,5,1,7,8,6,2,4]=>1100010=>98
[5,2,4,1,7,6,8,3]=>1110010=>114
[2,1,4,3,6,5,7,9,10,8]=>101010010=>338
[2,1,4,3,5,7,8,6,10,9]=>101001001=>329
[2,1,4,3,5,7,6,9,10,8]=>101001010=>330
[2,1,4,3,5,6,8,9,10,7]=>101000100=>324
[2,1,3,5,6,4,8,7,10,9]=>100100101=>293
[2,1,3,5,6,4,7,9,10,8]=>100100010=>290
[2,1,3,5,4,7,8,6,10,9]=>100101001=>297
[2,1,3,5,4,7,6,9,10,8]=>100101010=>298
[2,1,3,5,4,6,8,9,10,7]=>100100100=>292
[2,1,3,4,6,7,8,5,10,9]=>100010001=>273
[2,1,3,4,6,7,5,9,10,8]=>100010010=>274
[2,1,3,4,6,5,8,9,10,7]=>100010100=>276
[2,1,3,4,5,7,8,9,10,6]=>100001000=>264
[1,3,4,2,6,5,7,9,10,8]=>010010010=>146
[1,3,4,2,5,7,8,6,10,9]=>010001001=>137
[1,3,4,2,5,7,6,9,10,8]=>010001010=>138
[1,3,4,2,5,6,8,9,10,7]=>010000100=>132
[1,3,2,5,6,4,8,7,10,9]=>010100101=>165
[1,3,2,5,6,4,7,9,10,8]=>010100010=>162
[1,3,2,5,4,7,8,6,10,9]=>010101001=>169
[1,3,2,5,4,7,6,9,10,8]=>010101010=>170
[1,3,2,5,4,6,8,9,10,7]=>010100100=>164
[1,3,2,4,6,7,8,5,10,9]=>010010001=>145
[1,3,2,4,6,7,5,9,10,8]=>010010010=>146
[1,3,2,4,6,5,8,9,10,7]=>010010100=>148
[1,3,2,4,5,7,8,9,10,6]=>010001000=>136
[1,2,4,5,6,3,8,7,10,9]=>001000101=>69
[1,2,4,5,6,3,7,9,10,8]=>001000010=>66
[1,2,4,5,3,7,8,6,10,9]=>001001001=>73
[1,2,4,5,3,7,6,9,10,8]=>001001010=>74
[1,2,4,5,3,6,8,9,10,7]=>001000100=>68
[1,2,4,3,6,7,8,5,10,9]=>001010001=>81
[1,2,4,3,6,7,5,9,10,8]=>001010010=>82
[1,2,4,3,6,5,8,9,10,7]=>001010100=>84
[1,2,4,3,5,7,8,9,10,6]=>001001000=>72
[1,2,3,5,6,7,8,4,10,9]=>000100001=>33
[1,2,3,5,6,7,4,9,10,8]=>000100010=>34
[1,2,3,5,6,4,8,9,10,7]=>000100100=>36
[1,2,3,5,4,7,8,9,10,6]=>000101000=>40
[2,3,4,9,6,7,8,5,1]=>10001100=>140
[2,3,9,5,6,7,8,4,1]=>10011000=>152
[2,9,4,5,6,7,8,3,1]=>10110000=>176
[9,3,4,5,6,7,8,2,1]=>11100000=>224
[2,3,4,5,6,10,8,9,7,1]=>100000110=>262
[2,3,4,1,9,7,8,6,5]=>10001110=>142
[2,3,4,5,10,7,8,9,6,1]=>100001100=>268
[2,3,1,9,6,7,8,5,4]=>10011100=>156
[2,3,4,10,6,7,8,9,5,1]=>100011000=>280
[2,1,9,5,6,7,8,4,3]=>10111000=>184
[2,3,10,5,6,7,8,9,4,1]=>100110000=>304
[1,9,4,5,6,7,8,3,2]=>01110000=>112
[2,10,4,5,6,7,8,9,3,1]=>101100000=>352
[10,3,4,5,6,7,8,9,2,1]=>111000000=>448
[5,6,4,7,3,9,1,8,2]=>11110000=>240
[5,6,4,9,1,8,2,7,3]=>11110000=>240
[5,9,1,8,2,7,3,6,4]=>11110000=>240
[9,1,8,2,7,3,6,4,5]=>11110000=>240
[5,4,3,8,1,7,2,6]=>1111000=>120
[5,4,9,1,8,2,7,3,6]=>11110000=>240
[5,4,6,3,9,1,8,2,7]=>11110000=>240
[5,4,6,3,7,2,9,1,8]=>11110000=>240
[6,5,7,4,8,3,10,1,9,2]=>111110000=>496
[5,6,4,8,2,9,1,7,3]=>11110000=>240
[6,5,7,4,10,1,9,2,8,3]=>111110000=>496
[5,7,3,9,1,8,2,6,4]=>11110000=>240
[6,5,10,1,9,2,8,3,7,4]=>111110000=>496
[6,4,9,1,8,2,7,3,5]=>11110000=>240
[4,5,9,1,8,2,7,3,6]=>11100000=>224
[5,10,1,9,2,8,3,7,4,6]=>111100000=>480
[6,4,5,3,9,1,8,2,7]=>11110000=>240
[5,6,4,10,1,9,2,8,3,7]=>111100000=>480
[5,4,7,3,6,2,9,1,8]=>11110000=>240
[5,6,4,7,3,10,1,9,2,8]=>111100000=>480
[5,6,4,7,3,8,2,10,1,9]=>111100000=>480
[7,3,1,5,6,8,4,2]=>1111000=>120
[2,10,1,3,4,5,6,9,7,8]=>100000100=>260
[2,9,1,3,4,5,6,7,10,8]=>100000010=>258
[10,3,1,2,4,5,6,9,7,8]=>101000100=>324
[3,1,10,2,4,5,6,9,7,8]=>110000100=>388
[9,3,1,2,4,5,6,7,10,8]=>101000010=>322
[3,1,9,2,4,5,6,7,10,8]=>110000010=>386
[7,2,3,1,6,8,4,5]=>1101000=>104
[4,1,8,2,5,6,3,7]=>1110000=>112
[5,7,8,1,6,2,3,4]=>1100000=>96
[1,6,4,2,7,3,8,5]=>0111100=>60
[1,4,2,5,8,6,3,7]=>0110010=>50
[4,3,2,1,8,9,7,6,5]=>11101110=>238
[4,8,2,1,5,7,3,6]=>1110000=>112
[5,2,7,1,6,3,4,8]=>1110000=>112
[4,8,2,5,1,6,3,7]=>1110000=>112
[5,8,1,2,4,6,3,7]=>1010000=>80
[5,1,7,3,6,4,2,8]=>1111000=>120
[3,2,7,5,6,1,4,8]=>1100100=>100
[3,2,7,1,6,4,5,8]=>1101000=>104
[6,3,1,7,5,4,2,8]=>1111100=>124
[9,8,3,4,5,6,7,1,2]=>10100001=>161
[9,8,2,3,4,5,6,1,7]=>11000001=>193
[6,2,8,7,3,4,5,1]=>1110001=>113
[9,4,5,6,7,8,2,1,3]=>11010000=>208
[9,3,4,5,6,7,2,1,8]=>11100000=>224
[10,9,3,4,5,6,7,8,1,2]=>101000001=>321
[10,9,2,3,4,5,6,7,1,8]=>110000001=>385
[7,2,9,8,3,4,5,6,1]=>11100001=>225
[9,8,2,3,4,5,1,6,7]=>11000001=>193
[7,3,4,8,5,6,2,1]=>1110100=>116
[9,5,6,7,8,2,1,3,4]=>11001000=>200
[7,3,6,8,4,5,2,1]=>1111000=>120
[8,3,9,4,5,6,7,2,1]=>11110000=>240
[10,4,5,6,7,8,9,2,1,3]=>110100000=>416
[9,3,4,5,6,2,1,7,8]=>11100000=>224
[10,3,4,5,6,7,8,2,1,9]=>111000000=>448
[5,6,2,8,3,1,7,4]=>1111000=>120
[1,4,7,5,6,2,8,3]=>0110100=>52
[1,7,4,8,3,5,6,2]=>0111000=>56
[5,3,1,4,8,6,2,7]=>1110010=>114
[5,2,4,8,3,1,6,7]=>1110000=>112
[7,4,5,1,8,6,2,3]=>1101010=>106
[8,1,5,7,6,3,2,4]=>1110010=>114
[1,8,6,7,5,3,2,4]=>0110110=>54
[7,4,8,3,1,6,5,2]=>1111100=>124
[8,1,5,3,7,6,2,4]=>1110010=>114
[6,4,8,7,3,5,1,2]=>1011001=>89
[6,1,4,2,3,5,7,8]=>1100000=>96
[6,5,1,8,3,7,4,2]=>1111100=>124
[7,1,4,3,8,6,5,2]=>1110110=>118
[8,5,4,1,7,3,2,6]=>1111100=>124
[4,5,3,8,1,7,6,2]=>1110010=>114
[4,7,6,3,2,8,5,1]=>1110110=>118
[5,7,6,3,8,2,4,1]=>1110010=>114
[6,8,4,7,1,2,5,3]=>1011000=>88
[1,3,7,6,8,4,5,2]=>0101010=>42
[6,1,5,7,2,8,3,4]=>1110000=>112
[1,8,7,2,5,6,3,4]=>0110001=>49
[1,8,2,6,7,4,3,5]=>0111000=>56
[2,5,4,8,7,6,1,3]=>1001011=>75
[1,8,7,6,3,5,4,2]=>0111011=>59
[1,8,5,7,6,4,3,2]=>0111110=>62
[1,6,2,7,3,8,4,9,5]=>01111000=>120
[1,8,5,2,9,6,3,10,7,4]=>011111100=>252
[7,2,4,1,8,5,3,6]=>1110100=>116
[7,3,2,1,4,6,8,5]=>1110100=>116
[4,7,2,6,1,8,3,5]=>1110000=>112
[8,7,3,5,2,1,6,4]=>1111001=>121
[7,5,3,2,1,6,8,4]=>1111100=>124
[6,8,1,3,4,2,5,7]=>1100000=>96
[2,5,7,1,3,6,4,8]=>1001000=>72
[1,4,7,2,5,3,6,8]=>0110000=>48
[4,5,3,1,2,6,8,7]=>1010001=>81
[4,5,1,3,8,2,6,7]=>1100000=>96
[4,1,5,3,2,7,6,8]=>1110010=>114
[7,3,5,1,4,2,6,8]=>1110000=>112
[6,2,1,7,4,3,8,5]=>1111100=>124
[2,4,3,6,7,1,5,8]=>1010000=>80
[7,3,5,2,1,6,4,8]=>1111000=>120
[4,6,5,2,1,3,7,8]=>1100100=>100
[2,5,6,1,4,3,7,8]=>1010000=>80
[6,1,5,3,7,2,4,8]=>1110000=>112
[3,6,5,4,1,7,2,8]=>1101100=>108
[10,9,3,8,7,6,5,4,2,1]=>111111101=>509
[8,7,6,4,5,3,2,1,10,9]=>111101101=>493
[10,9,8,6,5,4,7,3,2,1]=>111111011=>507
[6,7,1,9,2,3,4,5,8]=>11000000=>192
[6,1,8,9,2,3,4,5,7]=>11000000=>192
[8,1,9,10,2,3,4,5,6,7]=>110000000=>384
[6,8,7,5,4,2,1,3]=>1101101=>109
[1,6,8,7,3,2,4,5]=>0110001=>49
[8,7,5,4,6,1,3,2]=>1101101=>109
[1,7,8,2,4,6,3,5]=>0110000=>48
[7,5,4,8,1,3,6,2]=>1101100=>108
[5,6,1,8,4,3,7,2]=>1111000=>120
[1,8,2,6,7,5,4,3]=>0111100=>60
[2,7,5,1,6,8,3,4]=>1010100=>84
[8,5,4,2,7,3,6,1]=>1111100=>124
[3,8,6,1,2,4,5,7]=>1000010=>66
[1,8,5,3,2,7,4,6]=>0111100=>60
[1,8,4,7,2,3,5,6]=>0101000=>40
[3,2,8,1,7,5,4,6]=>1101100=>108
[3,4,5,6,2,1,7,8,9]=>11000000=>192
[3,4,5,2,1,6,7,8,9]=>11000000=>192
[7,1,5,6,2,3,4,8]=>1100000=>96
[6,5,1,7,2,3,4,8]=>1100100=>100
[1,6,8,2,7,3,4,5]=>0110000=>48
[1,6,8,7,3,4,2,5]=>0110001=>49
[4,1,3,6,7,8,5,2]=>1100100=>100
[7,4,1,5,6,8,3,2]=>1111000=>120
[4,1,2,6,7,8,5,3]=>1010100=>84
[5,10,4,9,3,8,2,1,7,6]=>111101000=>488
[5,10,4,9,3,2,8,7,1,6]=>111100100=>484
[5,10,4,9,3,2,8,1,7,6]=>111101000=>488
[5,10,4,9,3,2,1,8,7,6]=>111101100=>492
[5,10,4,3,9,8,2,7,1,6]=>111100010=>482
[5,10,4,3,9,8,2,1,7,6]=>111101010=>490
[5,10,4,3,9,2,8,7,1,6]=>111100100=>484
[5,10,4,3,9,2,8,1,7,6]=>111101000=>488
[5,10,4,3,9,2,1,8,7,6]=>111101100=>492
[5,10,4,3,2,9,8,7,1,6]=>111100110=>486
[5,10,4,3,2,9,8,1,7,6]=>111101010=>490
[5,10,4,3,2,9,1,8,7,6]=>111101100=>492
[5,10,4,3,2,1,9,8,7,6]=>111101110=>494
[5,4,10,9,3,8,2,7,1,6]=>111100001=>481
[5,4,10,9,3,8,2,1,7,6]=>111101001=>489
[5,4,10,9,3,2,8,7,1,6]=>111100101=>485
[5,4,10,9,3,2,8,1,7,6]=>111101001=>489
[5,4,10,9,3,2,1,8,7,6]=>111101101=>493
[5,4,10,3,9,8,2,7,1,6]=>111100010=>482
[5,4,10,3,9,8,2,1,7,6]=>111101010=>490
[5,4,10,3,9,2,8,7,1,6]=>111100100=>484
[5,4,10,3,9,2,8,1,7,6]=>111101000=>488
[5,4,10,3,9,2,1,8,7,6]=>111101100=>492
[5,4,10,3,2,9,8,7,1,6]=>111100110=>486
[5,4,10,3,2,9,8,1,7,6]=>111101010=>490
[5,4,10,3,2,9,1,8,7,6]=>111101100=>492
[5,4,10,3,2,1,9,8,7,6]=>111101110=>494
[5,4,3,10,9,8,2,7,1,6]=>111100011=>483
[5,4,3,10,9,8,2,1,7,6]=>111101011=>491
[5,4,3,10,9,2,8,7,1,6]=>111100101=>485
[5,4,3,10,9,2,8,1,7,6]=>111101001=>489
[5,4,3,10,9,2,1,8,7,6]=>111101101=>493
[5,4,3,10,2,9,8,7,1,6]=>111100110=>486
[5,4,3,10,2,9,8,1,7,6]=>111101010=>490
[5,4,3,10,2,9,1,8,7,6]=>111101100=>492
[5,4,3,10,2,1,9,8,7,6]=>111101110=>494
[5,4,3,2,10,9,8,7,1,6]=>111100111=>487
[5,4,3,2,10,9,8,1,7,6]=>111101011=>491
[5,4,3,2,10,9,1,8,7,6]=>111101101=>493
[5,4,3,2,10,1,9,8,7,6]=>111101110=>494
[3,4,5,8,9,1,2,6,7]=>10000000=>128
[3,4,7,8,9,1,2,5,6]=>10000000=>128
[3,6,7,8,9,1,2,4,5]=>10000000=>128
[3,4,5,6,1,7,2,8,9]=>11000000=>192
[3,4,5,1,6,2,7,8,9]=>11000000=>192
[3,4,5,6,7,10,1,2,8,9]=>100000000=>256
[3,4,1,5,9,2,6,7,8]=>11000000=>192
[3,4,5,6,9,10,1,2,7,8]=>100000000=>256
[3,4,5,8,9,10,1,2,6,7]=>100000000=>256
[1,3,7,8,9,2,4,5,6]=>01000000=>64
[3,4,7,8,9,10,1,2,5,6]=>100000000=>256
[2,6,7,8,9,1,3,4,5]=>10000000=>128
[3,6,7,8,9,10,1,2,4,5]=>100000000=>256
[3,7,8,2,1,4,5,6]=>1100000=>96
[6,3,7,1,8,2,4,5]=>1110000=>112
[3,7,8,1,5,2,6,4]=>1101000=>104
[2,1,4,3,6,5,10,7,9,8]=>101010110=>342
[2,1,4,3,8,5,7,6,10,9]=>101011001=>345
[2,1,4,3,10,9,7,5,6,8]=>101010101=>341
[2,1,4,3,10,5,6,8,9,7]=>101010100=>340
[2,1,6,3,5,4,8,7,10,9]=>101100101=>357
[2,1,6,3,5,4,10,7,9,8]=>101100110=>358
[2,1,8,7,5,3,4,6,10,9]=>101010101=>341
[2,1,10,7,5,9,4,3,6,8]=>101110100=>372
[2,1,10,8,5,3,6,4,9,7]=>101110110=>374
[2,1,8,3,4,6,7,5,10,9]=>101010001=>337
[2,1,10,9,4,6,7,3,5,8]=>101100001=>353
[2,1,10,3,9,6,4,8,5,7]=>101111000=>376
[2,1,10,3,4,5,7,8,9,6]=>101001000=>328
[4,1,3,2,6,5,8,7,10,9]=>110010101=>405
[4,1,3,2,6,5,10,7,9,8]=>110010110=>406
[4,1,3,2,8,5,7,6,10,9]=>110011001=>409
[4,1,3,2,10,9,7,5,6,8]=>110010101=>405
[4,1,3,2,10,5,6,8,9,7]=>110010100=>404
[6,5,3,1,2,4,10,7,9,8]=>101010110=>342
[8,5,3,7,2,1,4,6,10,9]=>111010001=>465
[10,5,3,7,2,9,4,1,6,8]=>111110000=>496
[10,5,3,8,2,1,6,4,9,7]=>111110100=>500
[8,6,3,1,4,2,7,5,10,9]=>111011001=>473
[10,6,3,9,4,2,7,1,5,8]=>111101000=>488
[10,6,3,1,9,2,4,8,5,7]=>111011000=>472
[10,7,3,1,4,5,2,8,9,6]=>111001100=>460
[6,1,2,4,5,3,8,7,10,9]=>101000101=>325
[6,1,2,4,5,3,10,7,9,8]=>101000110=>326
[8,7,2,4,5,1,3,6,10,9]=>110000101=>389
[10,7,2,4,5,9,3,1,6,8]=>111000100=>452
[10,8,2,4,5,1,6,3,9,7]=>111000110=>454
[8,1,7,4,2,6,3,5,10,9]=>111100001=>481
[10,9,7,4,2,6,3,1,5,8]=>111100101=>485
[10,1,8,4,9,6,2,3,5,7]=>110101000=>424
[10,1,8,4,2,5,7,3,9,6]=>111101000=>488
[8,1,2,3,5,6,7,4,10,9]=>100100001=>289
[10,9,2,3,5,6,7,1,4,8]=>110000001=>385
[10,1,9,3,5,6,2,8,4,7]=>111100000=>480
[10,1,2,9,5,3,7,8,4,6]=>101110000=>368
[1,5,4,7,8,3,6,2]=>0111000=>56
[5,1,4,7,8,3,6,2]=>1110000=>112
[4,8,1,5,6,2,3,7]=>1100000=>96
[5,6,4,1,7,3,8,2]=>1111000=>120
[4,3,7,8,2,5,1,6]=>1110000=>112
[3,7,8,5,4,2,1,6]=>1101100=>108
[1,7,4,5,6,8,3,2]=>0111000=>56
[7,2,4,5,6,8,3,1]=>1110000=>112
[2,7,4,5,6,8,3,1]=>1011000=>88
[2,4,7,8,3,1,6,5]=>1010100=>84
[5,4,3,6,8,1,7,2]=>1111000=>120
[3,7,4,5,8,1,6,2]=>1101000=>104
[1,4,3,5,6,8,2,7]=>0110000=>48
[1,4,6,5,8,2,7,3]=>0110100=>52
[4,6,1,7,3,2,8,5]=>1110100=>116
[1,7,3,6,4,2,8,5]=>0111100=>60
[4,7,3,5,1,2,8,6]=>1010010=>82
[1,6,4,2,3,5,8,7]=>0101001=>41
[4,8,3,5,2,1,6,7]=>1110000=>112
[10,9,7,6,5,4,3,8,2,1]=>111111101=>509
[1,6,8,4,7,5,3,2]=>0111100=>60
[8,7,3,1,5,2,6,4]=>1111001=>121
[4,7,1,6,8,2,3,5]=>1100000=>96
[4,6,5,8,2,3,7,1]=>1100100=>100
[7,1,8,2,4,5,3,6]=>1110000=>112
[5,7,8,2,3,4,1,6]=>1100000=>96
[5,2,3,8,7,1,4,6]=>1100001=>97
[8,7,1,3,2,6,4,5]=>1101001=>105
[2,7,6,4,8,3,1,5]=>1011010=>90
[2,6,3,7,5,8,4,1]=>1011100=>92
[7,5,1,2,3,8,4,6]=>1001100=>76
[4,3,5,2,6,1,7,8,9]=>11100000=>224
[4,5,3,6,2,7,1,8,9]=>11100000=>224
[3,2,4,1,5,6,7,8,9,10]=>110000000=>384
[3,4,2,5,1,6,7,8,9,10]=>110000000=>384
[4,3,5,2,6,1,7,8,9,10]=>111000000=>448
[4,5,3,6,2,7,1,8,9,10]=>111000000=>448
[5,4,6,3,7,2,8,1,9,10]=>111100000=>480
[8,6,2,1,3,7,4,5]=>1101010=>106
[4,2,3,6,8,5,7,1]=>1100100=>100
[4,7,3,2,6,5,1,8]=>1110100=>116
[4,3,7,8,2,1,6,5]=>1110100=>116
[4,8,7,2,1,5,6,3]=>1110001=>113
[7,3,8,2,5,1,6,4]=>1111000=>120
[4,5,3,8,6,1,2,7]=>1010010=>82
[6,3,5,8,4,1,2,7]=>1011000=>88
[7,3,8,4,5,1,2,6]=>1011000=>88
[4,8,7,5,1,2,6,3]=>1010101=>85
[7,8,4,6,1,3,5,2]=>1101000=>104
[4,8,7,5,1,3,6,2]=>1100101=>101
[4,5,3,6,8,1,2,7]=>1010000=>80
[7,8,6,2,1,4,3,5]=>1110010=>114
[7,8,6,3,1,2,5,4]=>1011010=>90
[3,7,6,4,1,5,2,8]=>1101010=>106
[5,2,8,4,7,1,3,6]=>1101000=>104
[7,3,1,2,8,6,5,4]=>1011110=>94
[8,7,1,3,2,4,5,6]=>1100001=>97
[4,1,3,6,5,7,2,8]=>1100100=>100
[4,1,3,5,7,2,8,6]=>1100010=>98
[5,1,8,2,4,6,3,7]=>1110000=>112
[6,8,2,1,4,5,3,7]=>1110000=>112
[4,2,7,3,6,8,5,1]=>1110100=>116
[3,1,5,8,6,7,2,4]=>1100010=>98
[6,8,2,1,4,5,7,3]=>1110000=>112
[2,1,4,3,6,5,10,7,8,9]=>101010100=>340
[2,1,4,3,8,5,6,7,10,9]=>101010001=>337
[2,1,4,3,10,9,6,5,8,7]=>101011101=>349
[2,1,4,3,10,5,6,7,8,9]=>101010000=>336
[2,1,6,3,4,5,8,7,10,9]=>101000101=>325
[2,1,6,3,4,5,10,7,8,9]=>101000100=>324
[2,1,10,7,4,9,6,3,8,5]=>101111100=>380
[2,1,10,9,4,3,6,7,8,5]=>101110001=>369
[2,1,8,3,4,5,6,7,10,9]=>101000001=>321
[2,1,10,9,4,5,6,3,8,7]=>101100101=>357
[2,1,10,3,8,5,4,7,6,9]=>101111000=>376
[4,1,2,3,6,5,10,7,8,9]=>100010100=>276
[4,1,2,3,8,5,6,7,10,9]=>100010001=>273
[4,1,2,3,10,9,6,5,8,7]=>100011101=>285
[6,5,2,1,4,3,8,7,10,9]=>111010101=>469
[6,5,2,1,4,3,10,7,8,9]=>111010100=>468
[8,5,2,7,4,1,6,3,10,9]=>111110001=>497
[10,5,2,7,4,9,6,1,8,3]=>111111000=>504
[10,5,2,9,4,1,6,7,8,3]=>111110000=>496
[8,7,2,1,4,5,6,3,10,9]=>111000101=>453
[10,7,2,9,4,5,6,1,8,3]=>111100100=>484
[10,9,2,1,8,5,4,7,6,3]=>111111001=>505
[10,9,2,1,4,5,6,7,8,3]=>111000001=>449
[6,1,2,3,4,5,8,7,10,9]=>100000101=>261
[8,7,2,3,4,1,6,5,10,9]=>110010101=>405
[10,7,2,3,4,9,6,1,8,5]=>110011100=>412
[10,9,2,3,4,1,6,7,8,5]=>110010001=>401
[8,1,6,3,2,5,4,7,10,9]=>111100001=>481
[10,9,6,3,2,5,4,1,8,7]=>111101101=>493
[10,1,6,3,8,5,2,7,4,9]=>111110000=>496
[10,1,8,3,2,5,6,7,4,9]=>111100000=>480
[10,9,2,3,4,5,6,1,8,7]=>110000101=>389
[10,1,8,3,4,5,2,7,6,9]=>111001000=>456
[10,1,2,7,4,3,6,5,8,9]=>101110000=>368
[1,5,4,8,7,3,2,6]=>0111001=>57
[4,3,1,2,6,5,7,8]=>1010100=>84
[7,1,4,5,8,3,6,2]=>1110000=>112
[7,5,8,1,2,4,6,3]=>1010100=>84
[6,1,5,2,8,7,4,3]=>1111001=>121
[8,4,6,3,1,2,7,5]=>1011100=>92
[3,8,6,4,1,5,7,2]=>1101010=>106
[8,7,1,4,5,2,3,6]=>1100001=>97
[3,8,6,4,5,1,7,2]=>1101010=>106
[3,7,6,4,5,1,2,8]=>1001010=>74
[7,4,6,3,1,2,8,5]=>1011100=>92
[4,6,2,5,7,8,1,3]=>1100000=>96
[4,6,3,5,7,1,2,8]=>1010000=>80
[4,7,3,5,8,6,1,2]=>1010010=>82
[4,8,3,5,7,1,6,2]=>1110000=>112
[4,8,3,5,6,1,2,7]=>1010000=>80
[4,7,2,5,6,8,1,3]=>1100000=>96
[4,8,2,5,6,7,1,3]=>1100000=>96
[1,4,7,2,6,5,8,3]=>0110100=>52
[1,5,7,2,6,4,8,3]=>0111000=>56
[7,2,4,6,1,8,3,5]=>1110000=>112
[1,2,7,8,3,5,4,6]=>0011000=>24
[1,7,6,2,8,5,4,3]=>0111110=>62
[1,2,7,8,3,4,6,5]=>0010100=>20
[1,7,6,8,3,4,2,5]=>0110010=>50
[3,4,1,7,8,6,5,2]=>1100110=>102
[2,4,8,6,5,7,1,3]=>1000110=>70
[5,1,3,4,8,2,7,6]=>1100010=>98
[8,7,3,6,1,4,2,5]=>1110001=>113
[6,5,1,8,3,4,7,2]=>1110100=>116
[8,2,1,5,6,4,7,3]=>1111000=>120
[7,5,6,1,3,4,8,2]=>1100100=>100
[5,7,2,4,6,1,8,3]=>1110000=>112
[2,1,5,6,3,8,7,4]=>1011001=>89
[3,2,7,5,8,6,4,1]=>1101110=>110
[2,4,5,3,8,1,7,6]=>1010010=>82
[7,2,5,4,3,8,6,1]=>1111010=>122
[8,5,3,1,2,6,7,4]=>1011100=>92
[7,2,5,1,3,6,8,4]=>1101000=>104
[8,4,7,3,1,2,6,5]=>1011100=>92
[1,8,7,3,5,2,6,4]=>0111001=>57
[2,4,8,3,6,5,7,1]=>1010100=>84
[3,1,8,2,6,5,7,4]=>1101100=>108
[4,6,7,8,5,2,1,3]=>1100100=>100
[4,7,2,1,8,6,5,3]=>1110110=>118
[5,6,2,8,4,1,7,3]=>1111000=>120
[5,7,2,4,8,6,1,3]=>1100010=>98
[6,7,2,4,8,5,1,3]=>1100100=>100
[6,7,3,2,8,5,1,4]=>1110100=>116
[7,2,3,1,8,6,5,4]=>1101110=>110
[7,2,8,3,5,6,1,4]=>1110000=>112
[7,2,3,8,4,6,1,5]=>1101000=>104
[1,7,3,4,8,5,2,6]=>0110100=>52
[1,7,3,8,5,4,2,6]=>0111100=>60
[7,2,8,4,5,3,1,6]=>1111000=>120
[2,8,6,4,3,1,7,5]=>1011110=>94
[1,7,3,4,8,2,5,6]=>0110000=>48
[1,5,8,3,4,6,2,7]=>0110000=>48
[1,3,8,4,2,5,7,6]=>0101010=>42
[1,4,7,6,2,3,8,5]=>0100110=>38
[1,8,4,6,7,2,3,5]=>0101000=>40
[1,4,2,3,7,8,6,5]=>0100110=>38
[5,7,1,6,4,8,3,2]=>1111000=>120
[1,2,9,7,5,3,10,8,6,4]=>001111110=>126
[7,4,5,8,1,3,6,2]=>1101000=>104
[1,4,3,6,2,5,8,7]=>0110001=>49
[1,4,6,3,2,5,8,7]=>0110001=>49
[1,3,6,5,8,2,4,7]=>0100100=>36
[1,4,6,3,2,8,5,7]=>0110100=>52
[6,8,4,1,5,7,2,3]=>1101000=>104
[5,2,6,7,4,1,8,3]=>1111000=>120
[8,5,6,4,1,7,3,2]=>1111100=>124
[7,8,3,1,6,4,5,2]=>1111000=>120
[5,8,2,6,3,1,7,4]=>1111000=>120
[4,5,8,1,6,3,7,2]=>1110000=>112
[8,1,4,6,2,5,7,3]=>1110000=>112
[4,5,8,1,6,2,7,3]=>1110000=>112
[5,2,6,8,1,4,3,7]=>1110000=>112
[6,7,3,8,2,1,4,5]=>1110000=>112
[2,4,1,5,6,7,8,10,3,9]=>101000000=>320
[2,7,3,5,4,1,8,6]=>1011010=>90
[2,6,3,7,4,1,8,5]=>1011100=>92
[2,1,4,8,5,3,7,6]=>1010110=>86
[2,7,3,8,4,1,6,5]=>1011100=>92
[2,6,3,1,5,4,8,7]=>1011001=>89
[1,5,8,3,4,7,2,6]=>0110000=>48
[5,3,8,1,4,6,2,7]=>1110000=>112
[4,5,8,1,3,6,2,7]=>1100000=>96
[7,4,6,5,2,8,3,1]=>1111100=>124
[4,1,3,8,5,7,6,2]=>1100110=>102
[4,1,3,7,2,8,6,5]=>1100110=>102
[4,6,3,1,7,2,8,5]=>1110100=>116
[7,2,6,3,1,8,5,4]=>1111100=>124
[4,8,7,2,5,3,1,6]=>1110001=>113
[1,6,3,2,8,7,4,5]=>0111001=>57
[2,8,1,7,5,4,6,3]=>1011100=>92
[6,8,3,1,5,7,2,4]=>1110000=>112
[8,7,3,1,2,5,6,4]=>1011001=>89
[7,4,5,1,2,6,8,3]=>1011000=>88
[1,3,5,7,2,8,4,9,6]=>01010100=>84
[1,3,5,6,2,7,4,9,8]=>01010001=>81
[1,3,4,5,2,7,6,9,8]=>01000101=>69
[3,5,7,1,2,4,6,9,8]=>10000001=>129
[1,3,5,7,2,9,4,6,8,10]=>010100000=>160
[3,5,7,8,1,9,2,4,6]=>11000000=>192
[1,3,5,7,2,9,4,10,6,8]=>010101000=>168
[3,5,6,7,1,8,2,9,4]=>11010000=>208
[1,3,5,7,2,8,4,9,6,10]=>010101000=>168
[1,3,5,6,2,7,4,9,8,10]=>010100010=>162
[1,3,4,5,2,7,6,9,8,10]=>010001010=>138
[5,4,3,6,1,7,8,2]=>1111000=>120
[3,2,7,8,5,6,1,4]=>1100100=>100
[4,8,3,2,1,7,5,6]=>1110100=>116
[5,1,2,6,4,7,8,3]=>1011000=>88
[7,1,2,3,4,9,6,8,5]=>10001100=>140
[7,1,2,3,4,8,6,9,5]=>10001100=>140
[8,1,2,3,9,5,6,7,4]=>10011000=>152
[7,1,2,3,9,5,6,8,4]=>10011000=>152
[7,1,2,3,8,5,6,9,4]=>10011000=>152
[6,1,2,3,8,5,9,7,4]=>10011010=>154
[6,1,2,3,7,5,8,9,4]=>10011000=>152
[6,1,2,8,4,5,9,7,3]=>10110010=>178
[6,1,2,7,4,5,8,9,3]=>10110000=>176
[5,1,2,7,4,9,6,8,3]=>10110100=>180
[5,1,2,7,4,8,6,9,3]=>10110100=>180
[5,1,2,6,4,7,8,9,3]=>10110000=>176
[4,1,6,3,8,5,9,7,2]=>11101010=>234
[4,1,6,3,7,5,8,9,2]=>11101000=>232
[4,1,5,3,6,7,8,9,2]=>11100000=>224
[10,1,2,3,4,5,7,8,9,6]=>100001000=>264
[8,1,2,3,4,5,10,7,9,6]=>100001100=>268
[8,1,2,3,4,5,9,7,10,6]=>100001100=>268
[9,1,2,3,4,10,6,7,8,5]=>100011000=>280
[8,1,2,3,4,10,6,7,9,5]=>100011000=>280
[8,1,2,3,4,9,6,7,10,5]=>100011000=>280
[7,1,2,3,4,9,6,10,8,5]=>100011010=>282
[7,1,2,3,4,8,6,9,10,5]=>100011000=>280
[8,1,2,3,10,5,6,7,9,4]=>100110000=>304
[8,1,2,3,9,5,6,7,10,4]=>100110000=>304
[7,1,2,3,10,5,6,8,9,4]=>100110000=>304
[7,1,2,3,8,5,6,9,10,4]=>100110000=>304
[6,1,2,3,8,5,10,7,9,4]=>100110100=>308
[6,1,2,3,8,5,9,7,10,4]=>100110100=>308
[6,1,2,3,7,5,8,9,10,4]=>100110000=>304
[6,1,2,9,4,5,10,7,8,3]=>101100100=>356
[6,1,2,8,4,5,10,7,9,3]=>101100100=>356
[6,1,2,8,4,5,9,7,10,3]=>101100100=>356
[6,1,2,7,4,5,8,9,10,3]=>101100000=>352
[5,1,2,7,4,9,6,10,8,3]=>101101010=>362
[5,1,2,7,4,8,6,9,10,3]=>101101000=>360
[5,1,2,6,4,7,8,9,10,3]=>101100000=>352
[4,1,6,3,8,5,9,7,10,2]=>111010100=>468
[4,1,6,3,7,5,8,9,10,2]=>111010000=>464
[4,1,5,3,6,7,8,9,10,2]=>111000000=>448
[1,9,8,7,6,4,3,2,5]=>01110111=>119
[1,9,8,7,5,4,3,2,6]=>01111011=>123
[1,9,8,6,5,4,3,2,7]=>01111101=>125
[1,9,7,6,5,4,3,2,8]=>01111110=>126
[1,9,8,7,6,5,2,3,4]=>01001111=>79
[1,10,9,8,7,6,5,3,2,4]=>011011111=>223
[1,9,8,7,6,3,4,2,5]=>01100111=>103
[1,10,9,8,7,6,4,3,2,5]=>011101111=>239
[1,9,8,7,4,5,3,2,6]=>01110011=>115
[1,10,9,8,7,5,4,3,2,6]=>011110111=>247
[1,9,8,5,6,4,3,2,7]=>01111001=>121
[1,10,9,8,6,5,4,3,2,7]=>011111011=>251
[1,8,4,5,6,3,2,7]=>0111000=>56
[1,9,6,7,5,4,3,2,8]=>01111100=>124
[1,10,9,7,6,5,4,3,2,8]=>011111101=>253
[1,7,8,6,5,4,3,2,9]=>01111100=>124
[1,10,8,7,6,5,4,3,2,9]=>011111110=>254
[8,5,1,7,4,6,3,2]=>1111100=>124
[3,4,8,1,6,7,2,5]=>1100000=>96
[3,6,7,8,4,1,5,2]=>1101000=>104
[2,3,7,8,4,6,1,5]=>1001000=>72
[1,3,7,8,4,6,2,5]=>0101000=>40
[3,1,7,8,4,6,2,5]=>1101000=>104
[4,3,8,1,6,7,2,5]=>1110000=>112
[4,8,7,3,6,1,2,5]=>1010001=>81
[5,8,4,3,7,1,2,6]=>1011000=>88
[4,1,8,3,7,5,2,6]=>1110100=>116
[2,4,8,3,6,7,1,5]=>1010000=>80
[1,6,5,8,7,3,2,4]=>0110101=>53
[5,6,4,8,7,2,1,3]=>1101001=>105
[7,2,6,8,3,5,1,4]=>1110000=>112
[7,2,8,6,5,3,1,4]=>1110110=>118
[4,8,3,7,6,1,2,5]=>1010010=>82
[2,8,4,7,1,3,6,5]=>1001100=>76
[8,9,2,3,4,5,6,1,7]=>11000000=>192
[7,8,9,2,3,4,5,1,6]=>11000000=>192
[6,7,8,9,2,3,4,1,5]=>11000000=>192
[5,6,7,8,9,2,3,1,4]=>11000000=>192
[9,10,2,3,4,5,6,7,1,8]=>110000000=>384
[8,9,10,2,3,4,5,6,1,7]=>110000000=>384
[7,8,9,2,3,4,1,5,6]=>11000000=>192
[7,8,9,10,2,3,4,5,1,6]=>110000000=>384
[6,7,8,9,2,3,1,4,5]=>11000000=>192
[5,6,7,8,9,10,2,3,1,4]=>110000000=>384
[4,5,6,7,8,1,9,2,3]=>11000000=>192
[4,5,6,7,8,9,10,2,1,3]=>110000000=>384
[6,8,3,4,5,2,1,7]=>1110000=>112
[3,7,1,4,5,6,2,8]=>1100000=>96
[7,9,3,4,5,6,2,1,8]=>11100000=>224
[3,9,2,1,5,6,7,8,4]=>11010000=>208
[3,6,1,4,5,2,7,8]=>1100000=>96
[3,8,1,4,5,6,7,2,9]=>11000000=>192
[8,10,3,4,5,6,7,2,1,9]=>111000000=>448
[6,9,3,4,5,2,7,1,8]=>11100000=>224
[3,8,2,4,5,1,7,6]=>1100010=>98
[3,9,2,4,1,6,7,8,5]=>11001000=>200
[3,7,2,1,5,6,4,8]=>1101000=>104
[3,6,8,1,5,4,7,2]=>1101000=>104
[3,8,9,1,5,6,7,4,2]=>11010000=>208
[3,10,2,1,5,6,7,8,9,4]=>110100000=>416
[3,7,1,4,5,6,2,8,9]=>11000000=>192
[3,9,1,4,5,6,7,8,2,10]=>110000000=>384
[1,7,4,6,3,5,2,8]=>0111000=>56
[1,3,6,5,7,2,4,8]=>0100100=>36
[1,7,2,5,6,4,3,8]=>0111000=>56
[1,6,8,5,4,3,7,2]=>0111100=>60
[2,5,7,8,4,3,1,6]=>1011000=>88
[6,8,5,3,2,4,1,7]=>1110100=>116
[1,6,8,5,3,2,7,4]=>0111100=>60
[4,6,1,8,7,5,3,2]=>1110101=>117
[1,3,7,6,8,5,2,4]=>0100110=>38
[4,1,7,8,6,5,2,3]=>1100110=>102
[5,4,3,7,6,1,2,8]=>1011010=>90
[4,7,6,1,2,3,8,5]=>1000110=>70
[4,5,2,6,7,8,1,3]=>1100000=>96
[2,8,7,6,5,4,3,1,9]=>10111110=>190
[2,1,4,9,8,7,6,5,3]=>10101111=>175
[3,7,6,5,4,2,1,9,8]=>11011101=>221
[3,2,1,6,9,8,7,5,4]=>11011011=>219
[4,6,5,3,2,1,9,8,7]=>11101011=>235
[1,7,6,2,3,8,5,4]=>0101110=>46
[4,5,1,3,7,6,2,8]=>1100010=>98
[7,2,3,8,6,4,5,1]=>1101010=>106
[1,5,4,3,8,6,2,7]=>0111010=>58
[1,3,7,5,8,4,6,2]=>0101100=>44
[7,8,1,5,3,4,6,2]=>1110000=>112
[7,3,5,4,1,6,2,8]=>1111000=>120
[3,5,7,1,6,4,2,8]=>1101000=>104
[3,7,5,6,1,4,2,8]=>1100100=>100
[1,7,5,6,3,4,8,2]=>0110100=>52
[5,3,1,2,7,8,4,6]=>1011000=>88
[5,1,3,7,8,2,6,4]=>1101000=>104
[5,8,1,2,7,6,4,3]=>1011010=>90
[1,6,7,4,5,3,2,8]=>0111000=>56
[1,4,2,6,7,5,3,8]=>0110100=>52
[1,8,2,4,6,5,3,7]=>0110100=>52
[7,2,1,6,4,3,8,5]=>1111100=>124
[1,4,8,7,2,3,6,5]=>0100101=>37
[4,1,3,6,5,8,2,7]=>1100100=>100
[4,3,7,1,5,8,2,6]=>1110000=>112
[1,8,6,5,2,7,4,3]=>0111110=>62
[1,8,6,2,7,4,3,5]=>0111010=>58
[7,2,6,4,1,8,5,3]=>1111100=>124
[6,4,1,8,3,7,5,2]=>1111100=>124
[4,5,8,7,3,6,2,1]=>1110001=>113
[3,5,4,1,7,8,6,2]=>1101010=>106
[2,9,8,7,6,1,5,4,3]=>10110111=>183
[6,8,7,2,1,5,4,3]=>1111001=>121
[4,9,8,7,6,5,2,1,3]=>11001111=>207
[5,9,8,7,6,2,1,4,3]=>11100111=>231
[2,10,9,8,7,6,1,5,4,3]=>101101111=>367
[6,9,8,7,2,1,5,4,3]=>11110011=>243
[7,9,8,2,1,6,5,4,3]=>11111001=>249
[2,10,9,8,1,7,6,5,4,3]=>101111011=>379
[8,9,2,1,7,6,5,4,3]=>11111100=>252
[2,10,9,1,8,7,6,5,4,3]=>101111101=>381
[8,1,6,3,7,5,4,2]=>1111100=>124
[8,5,1,3,7,6,4,2]=>1101110=>110
[8,3,6,5,4,2,1,7]=>1111100=>124
[6,1,3,5,7,2,8,4]=>1101000=>104
[2,8,1,5,6,4,3,7]=>1011000=>88
[1,6,7,5,8,4,2,3]=>0101100=>44
[7,4,1,6,5,2,8,3]=>1111100=>124
[7,4,2,8,6,5,3,1]=>1111110=>126
[6,8,4,7,3,2,5,1]=>1111000=>120
[5,8,7,3,2,1,6,4]=>1111001=>121
[5,8,7,2,6,4,3,1]=>1111001=>121
[6,8,7,3,5,1,4,2]=>1110001=>113
[7,2,5,6,8,3,4,1]=>1110000=>112
[1,6,5,7,8,3,2,4]=>0110100=>52
[8,6,7,2,3,5,4,1]=>1101010=>106
[5,4,8,6,7,3,1,2]=>1011010=>90
[4,2,7,3,1,6,8,5]=>1110100=>116
[7,3,6,4,2,1,8,5]=>1111100=>124
[4,8,5,2,7,3,1,6]=>1110100=>116
[6,4,3,1,8,5,2,7]=>1111100=>124
[7,4,3,1,5,8,6,2]=>1111010=>122
[7,4,8,6,5,3,1,2]=>1011110=>94
[4,8,5,2,6,7,3,1]=>1110100=>116
[7,3,2,1,8,5,6,4]=>1111100=>124
[7,8,1,9,2,3,4,5,6]=>11000000=>192
[6,7,8,1,9,2,3,4,5]=>11000000=>192
[5,6,7,8,1,9,2,3,4]=>11000000=>192
[9,1,2,3,4,5,7,6,8]=>10000100=>132
[2,1,3,4,5,9,6,7,8]=>10000100=>132
[1,5,7,2,4,3,8,6]=>0110010=>50
[1,2,7,5,8,4,3,6]=>0011100=>28
[5,1,3,8,2,7,4,6]=>1101000=>104
[5,7,1,3,2,8,4,6]=>1101000=>104
[7,1,6,3,2,8,4,5]=>1111000=>120
[8,1,7,2,3,6,5,4]=>1101100=>108
[7,1,2,6,4,3,8,5]=>1011100=>92
[1,4,7,8,3,2,5,6]=>0110000=>48
[8,7,1,3,2,4,6,5]=>1100101=>101
[8,1,6,3,2,4,7,5]=>1110100=>116
[1,8,2,7,6,3,5,4]=>0111010=>58
[8,1,6,3,2,7,4,5]=>1111000=>120
[8,2,1,7,6,3,4,5]=>1110010=>114
[6,8,4,3,5,1,2,7]=>1011000=>88
[8,7,3,5,4,1,2,6]=>1011001=>89
[6,3,8,5,7,2,1,4]=>1110100=>116
[8,7,3,6,4,1,2,5]=>1011001=>89
[5,2,7,4,6,1,3,8]=>1101000=>104
[8,7,2,3,5,1,4,6]=>1100001=>97
[7,6,3,4,1,8,2,5]=>1110010=>114
[6,3,5,2,8,1,4,7]=>1110000=>112
[6,4,5,3,1,7,2,8]=>1111000=>120
[8,7,2,4,3,1,5,6]=>1110001=>113
[7,6,2,3,1,4,8,5]=>1100110=>102
[4,7,6,2,3,1,5,8]=>1100010=>98
[4,7,6,1,3,2,8,5]=>1100110=>102
[7,2,6,5,4,3,1,9,8]=>11111001=>249
[3,2,1,9,5,8,7,6,4]=>11011110=>222
[6,3,5,4,2,1,9,8,7]=>11110011=>243
[4,3,2,1,9,7,8,6,5]=>11101110=>238
[2,8,1,3,5,6,4,7]=>1001000=>72
[2,6,3,4,7,8,5,1]=>1010100=>84
[7,6,3,1,8,5,2,4]=>1110110=>118
[7,2,1,3,6,8,5,4]=>1101100=>108
[7,6,3,8,1,5,2,4]=>1110010=>114
[1,6,4,7,8,5,3,2]=>0111100=>60
[7,2,5,8,6,1,3,4]=>1100010=>98
[4,1,3,6,2,5,8,7]=>1100001=>97
[7,1,4,6,3,2,5,8]=>1110000=>112
[7,4,5,8,6,2,3,1]=>1101010=>106
[6,7,2,3,8,4,1,5]=>1101000=>104
[2,7,8,1,5,4,3,6]=>1011000=>88
[1,5,2,6,8,7,4,3]=>0111001=>57
[1,2,3,4,5,6,8,9,7,10]=>000000100=>4
[1,8,3,7,5,2,6,4]=>0111100=>60
[8,1,3,6,5,2,7,4]=>1101100=>108
[7,1,3,8,5,2,6,4]=>1101100=>108
[4,7,1,5,2,6,8,3]=>1110000=>112
[7,4,1,5,2,6,8,3]=>1111000=>120
[3,1,6,7,5,2,8,4]=>1101100=>108
[8,6,2,4,5,1,7,3]=>1110010=>114
[8,6,7,5,2,1,4,3]=>1110110=>118
[7,1,4,5,2,6,8,3]=>1110000=>112
[4,1,6,2,3,8,7,5]=>1100101=>101
[4,1,7,6,5,2,8,3]=>1110110=>118
[8,4,1,5,6,2,7,3]=>1111000=>120
[8,4,5,3,6,1,7,2]=>1111000=>120
[2,8,4,7,3,5,6,1]=>1011000=>88
[1,5,4,8,3,2,6,7]=>0111000=>56
[1,5,7,6,3,8,2,4]=>0110010=>50
[2,6,3,1,7,8,4,5]=>1011000=>88
[2,1,7,8,3,5,4,6]=>1011000=>88
[1,5,8,6,7,4,2,3]=>0101010=>42
[8,7,1,3,5,2,6,4]=>1101001=>105
[3,7,8,2,5,4,1,6]=>1101000=>104
[4,7,6,5,8,1,3,2]=>1100110=>102
[4,7,8,6,2,1,5,3]=>1110010=>114
[4,8,6,3,2,1,7,5]=>1110110=>118
[5,1,4,7,6,8,3,2]=>1110010=>114
[5,6,4,7,1,8,3,2]=>1111000=>120
[5,3,7,4,6,1,8,2]=>1111000=>120
[4,1,5,7,8,6,3,2]=>1110010=>114
[3,6,7,1,5,4,8,2]=>1101000=>104
[3,6,4,7,5,8,2,1]=>1101100=>108
[9,1,2,3,4,8,6,5,7]=>10001100=>140
[9,1,2,3,8,5,6,4,7]=>10011000=>152
[8,1,2,9,4,5,6,3,7]=>10110000=>176
[9,1,8,3,4,5,6,2,7]=>11100000=>224
[7,1,2,3,4,9,5,8,6]=>10001100=>140
[10,1,2,3,4,5,9,7,6,8]=>100001100=>268
[6,1,2,3,8,4,5,9,7]=>10010010=>146
[10,1,2,3,4,9,6,7,5,8]=>100011000=>280
[5,1,2,8,3,4,6,9,7]=>10100010=>162
[9,1,2,3,10,5,6,7,4,8]=>100110000=>304
[4,1,9,2,3,5,6,8,7]=>11000010=>194
[10,1,2,9,4,5,6,7,3,8]=>101100000=>352
[3,8,1,2,4,5,6,9,7]=>10000010=>130
[10,1,9,3,4,5,6,7,2,8]=>111000000=>448
[8,2,1,3,4,5,6,9,7]=>11000010=>194
[8,1,2,3,4,5,10,6,9,7]=>100001100=>268
[9,1,2,3,8,5,4,7,6]=>10011100=>156
[7,1,2,3,4,9,5,6,10,8]=>100010010=>274
[6,1,2,3,9,4,7,8,5]=>10011000=>152
[6,1,2,3,9,4,5,7,10,8]=>100100010=>290
[5,1,2,8,3,6,4,9,7]=>10110010=>178
[5,1,2,10,3,4,6,7,9,8]=>101000010=>322
[9,8,2,1,4,5,6,7,3]=>11100001=>225
[8,1,7,3,2,4,5,6]=>1110000=>112
[4,1,8,2,5,3,6,9,7]=>11100010=>226
[4,1,9,2,3,5,6,7,10,8]=>110000010=>386
[3,9,1,4,2,5,6,8,7]=>11000010=>194
[3,9,1,2,4,5,6,7,10,8]=>100000010=>258
[8,2,3,1,4,5,6,9,7]=>11000010=>194
[10,2,1,3,4,5,6,7,9,8]=>110000010=>386
[6,4,7,1,5,2,8,3]=>1111000=>120
[4,8,1,3,5,2,7,6]=>1100010=>98
[1,6,5,2,8,7,4,3]=>0111101=>61
[2,3,4,5,7,8,1,9,6]=>10000100=>132
[1,3,4,5,2,6,7,8,9]=>01000000=>64
[1,2,3,4,5,7,8,6,9,10]=>000001000=>8
[2,3,4,5,7,9,1,6,8]=>10000000=>128
[1,2,3,4,5,7,8,9,6,10]=>000001000=>8
[2,3,4,5,1,6,7,9,8]=>10000001=>129
[4,5,6,1,7,8,9,2,3]=>11000000=>192
[2,1,4,5,3,6,7,8,9]=>10100000=>160
[2,4,5,6,1,7,8,9,10,3]=>101000000=>320
[1,3,2,5,4,6,7,8,9]=>01010000=>80
[2,3,5,6,1,7,8,9,10,4]=>100100000=>288
[4,1,7,2,5,8,3,6]=>1110000=>112
[3,2,5,8,6,1,7,4]=>1101010=>106
[4,5,1,7,2,8,6,3]=>1110010=>114
[2,8,5,3,6,7,4,1]=>1011100=>92
[2,3,4,5,9,8,6,7,1]=>10000101=>133
[2,3,4,9,7,5,8,6,1]=>10001110=>142
[2,3,9,6,4,7,8,5,1]=>10011100=>156
[8,3,5,2,6,7,4,1]=>1111000=>120
[2,8,6,3,4,7,5,1]=>1010110=>86
[2,9,5,3,6,7,8,4,1]=>10111000=>184
[9,4,2,5,6,7,8,3,1]=>11110000=>240
[4,7,1,8,5,3,6,2]=>1110100=>116
[6,4,7,2,5,3,1,8]=>1111000=>120
[7,1,4,3,6,8,2,5]=>1110000=>112
[6,3,1,5,4,8,7,2]=>1111001=>121
[4,1,6,2,8,3,5,7,9]=>11100000=>224
[4,1,6,2,8,3,9,5,7]=>11101000=>232
[4,1,6,2,7,3,8,5,9]=>11101000=>232
[7,1,3,8,5,4,2,6]=>1101100=>108
[4,8,7,3,5,1,6,2]=>1110001=>113
[5,3,8,7,1,6,2,4]=>1110001=>113
[3,4,1,6,2,8,7,5]=>1100101=>101
[5,2,6,7,4,3,1,8]=>1111000=>120
[8,5,1,6,4,3,2,7]=>1111100=>124
[8,6,3,5,2,7,1,4]=>1110010=>114
[8,4,6,2,1,5,7,3]=>1111000=>120
[8,5,2,1,6,4,7,3]=>1111100=>124
[1,7,2,8,5,4,6,3]=>0111100=>60
[6,7,1,4,8,5,3,2]=>1110100=>116
[7,3,2,8,5,1,4,6]=>1110100=>116
[4,1,7,3,2,8,5,6]=>1110100=>116
[8,3,5,2,4,7,1,6]=>1110000=>112
[4,3,7,8,6,1,5,2]=>1110010=>114
[1,2,6,3,7,8,5,4]=>0011100=>28
[6,1,3,7,8,5,4,2]=>1101100=>108
[8,7,9,1,4,5,6,2,3]=>11000010=>194
[7,6,9,1,4,5,2,8,3]=>11100100=>228
[9,8,10,1,4,5,6,7,2,3]=>110000010=>386
[2,6,4,7,5,3,1,8]=>1011100=>92
[5,6,3,7,2,8,4,1]=>1111000=>120
[4,5,1,8,6,2,7,3]=>1110010=>114
[5,6,1,8,7,2,3,4]=>1100001=>97
[4,5,1,6,8,7,3,2]=>1110001=>113
[3,9,2,4,5,6,7,8,1]=>11000000=>192
[3,8,6,1,5,2,4,7]=>1100010=>98
[3,2,8,1,5,6,4,7]=>1101000=>104
[5,8,7,3,2,1,4,6]=>1110001=>113
[3,4,7,6,8,2,1,5]=>1100010=>98
[2,8,1,3,7,5,6,4]=>1001100=>76
[1,8,7,2,5,6,4,3]=>0111001=>57
[3,4,7,1,5,8,2,6]=>1100000=>96
[4,2,7,1,5,8,3,6]=>1110000=>112
[1,3,5,2,4,6,7,8,9]=>01000000=>64
[4,1,2,3,5,6,8,7,9]=>10000010=>130
[1,2,4,7,3,5,6,8,9]=>00100000=>32
[5,1,2,3,4,7,6,8,9]=>10000100=>132
[2,4,6,3,5,1,7,8]=>1010000=>80
[4,1,6,2,5,8,3,7]=>1110000=>112
[1,8,2,5,7,3,4,6]=>0110000=>48
[1,4,6,3,8,5,2,7]=>0110100=>52
[4,5,6,3,1,7,2,8]=>1110000=>112
[3,4,6,2,5,1,7,8]=>1100000=>96
[1,4,7,5,2,3,6,8]=>0100100=>36
[1,4,6,5,8,2,3,7]=>0100100=>36
[1,4,8,3,7,6,2,5]=>0110010=>50
[1,4,5,3,7,2,6,8]=>0110000=>48
[2,5,7,6,8,3,4,1]=>1010010=>82
[3,1,6,7,2,8,5,4]=>1101100=>108
[1,5,3,6,8,4,7,2]=>0111000=>56
[6,5,1,3,8,4,7,2]=>1101100=>108
[1,7,4,8,5,3,2,6]=>0111100=>60
[7,3,1,6,8,4,5,2]=>1111000=>120
[8,5,1,4,6,7,3,2]=>1110100=>116
[3,4,7,5,6,8,2,1]=>1100100=>100
[3,4,7,8,5,2,6,1]=>1100100=>100
[7,4,2,3,6,5,1,8]=>1101100=>108
[7,2,4,3,1,5,6,8]=>1110000=>112
[6,3,1,4,8,5,7,2]=>1110100=>116
[6,3,5,4,8,7,1,2]=>1011001=>89
[2,6,4,3,1,7,5,8]=>1011100=>92
[4,8,1,7,5,6,3,2]=>1110100=>116
[1,5,7,2,8,4,6,3]=>0111000=>56
[5,8,7,2,3,6,4,1]=>1101001=>105
[4,6,5,1,2,3,7,8]=>1000100=>68
[1,8,7,5,2,6,3,4]=>0110101=>53
[1,7,6,3,4,5,8,2]=>0110010=>50
[1,8,7,4,5,6,2,3]=>0101001=>41
[1,8,7,3,6,4,2,5]=>0111001=>57
[1,4,7,5,8,2,6,3]=>0110100=>52
[1,4,7,2,3,6,5,8]=>0100100=>36
[1,7,2,5,6,3,4,8]=>0110000=>48
[1,2,6,5,8,3,4,7]=>0010100=>20
[1,5,8,2,6,3,4,7]=>0110000=>48
[6,8,3,2,7,5,1,4]=>1110100=>116
[7,3,6,8,1,2,5,4]=>1011000=>88
[4,1,5,7,2,6,3,8]=>1110000=>112
[5,7,2,1,3,6,4,8]=>1101000=>104
[7,1,10,9,2,3,4,5,6,8]=>110000001=>385
[6,7,9,1,2,3,4,5,10,8]=>100000010=>258
[2,8,1,9,10,3,4,5,6,7]=>101000000=>320
[8,7,1,10,2,3,4,5,6,9]=>110000100=>388
[3,5,6,7,2,4,1,8]=>1100000=>96
[6,4,7,5,2,3,1,8]=>1101100=>108
[1,5,6,4,8,3,2,7]=>0111000=>56
[2,1,5,6,4,8,3,7]=>1011000=>88
[5,1,4,7,8,6,2,3]=>1100010=>98
[1,6,7,2,8,5,4,3]=>0111100=>60
[5,3,2,1,7,8,6,4]=>1111010=>122
[7,4,3,8,6,1,5,2]=>1111010=>122
[4,3,7,1,5,8,6,2]=>1110010=>114
[8,2,4,5,3,1,7,6]=>1110010=>114
[1,4,3,2,7,5,8,6]=>0110110=>54
[1,5,2,8,6,3,10,9,7,4]=>011101101=>237
[4,1,5,2,8,6,3,10,9,7]=>111001101=>461
[1,7,5,2,8,6,3,10,9,4]=>011111001=>249
[4,1,7,5,2,8,3,10,9,6]=>111011001=>473
[6,4,1,7,5,2,8,3,10,9]=>111110001=>497
[3,4,1,7,2,8,5,10,9,6]=>110011001=>409
[3,6,4,1,7,2,8,5,10,9]=>110110001=>433
[1,5,2,9,8,6,3,10,7,4]=>011101110=>238
[4,1,5,2,9,8,6,3,10,7]=>111001110=>462
[1,7,5,2,9,6,3,10,8,4]=>011111010=>250
[4,1,7,5,2,9,3,10,8,6]=>111011010=>474
[4,1,9,6,5,2,7,3,10,8]=>111011010=>474
[3,4,1,7,2,9,5,10,8,6]=>110011010=>410
[3,6,1,9,4,2,7,5,10,8]=>110110010=>434
[1,8,7,5,2,9,6,3,10,4]=>011111100=>252
[4,1,8,7,5,2,9,3,10,6]=>111011100=>476
[6,4,1,8,5,2,9,3,10,7]=>111110100=>500
[7,6,4,1,8,5,2,9,3,10]=>111111000=>504
[3,4,1,8,7,2,9,5,10,6]=>110011100=>412
[3,6,4,1,8,2,9,5,10,7]=>110110100=>436
[3,7,6,4,1,8,2,9,5,10]=>110111000=>440
[1,9,6,5,2,7,3,10,8,4]=>011111010=>250
[6,1,9,4,2,7,3,10,8,5]=>111110010=>498
[5,4,1,9,6,2,7,3,10,8]=>111101010=>490
[9,3,1,6,2,7,4,10,8,5]=>111110010=>498
[9,5,3,1,6,2,7,4,10,8]=>111110010=>498
[6,1,8,5,2,9,7,3,10,4]=>111110100=>500
[6,4,1,8,2,9,7,3,10,5]=>111110100=>500
[8,5,4,1,6,2,9,3,10,7]=>111110100=>500
[5,7,4,1,8,6,2,9,3,10]=>111101000=>488
[3,6,1,8,2,9,7,4,10,5]=>110110100=>436
[5,8,3,1,6,2,9,4,10,7]=>111100100=>484
[5,3,7,1,8,6,2,9,4,10]=>111101000=>488
[4,3,8,1,9,5,2,6,10,7]=>111010100=>468
[7,4,3,5,1,8,2,9,6,10]=>111101000=>488
[9,6,2,1,3,7,4,10,8,5]=>110111010=>442
[5,9,2,1,6,3,7,4,10,8]=>111100010=>482
[6,8,2,1,3,9,7,4,10,5]=>110110100=>436
[8,2,5,1,6,3,9,4,10,7]=>111100100=>484
[2,5,7,1,8,6,3,9,4,10]=>101101000=>360
[2,4,8,1,9,5,3,6,10,7]=>101010100=>340
[4,8,7,2,6,1,3,5]=>1100001=>97
[4,5,8,2,1,7,3,6]=>1110000=>112
[6,8,4,1,7,3,2,5]=>1111000=>120
[5,6,4,3,2,1,7,8,9]=>11110000=>240
[5,6,4,3,2,1,7,8,9,10]=>111100000=>480
[4,5,3,2,1,6,7,8,9]=>11100000=>224
[6,7,5,4,3,2,1,8,9,10]=>111110000=>496
[6,7,4,3,2,1,5,8,9]=>11110000=>240
[5,6,4,3,2,7,1,8,9]=>11110000=>240
[7,5,4,3,1,2,6,8,9]=>10111000=>184
[6,5,4,3,7,1,2,8,9]=>10111000=>184
[6,7,9,8,5,4,3,2,1]=>11111001=>249
[7,6,8,9,5,4,3,2,1]=>11111100=>252
[7,8,10,9,6,5,4,3,2,1]=>111111001=>505
[6,7,5,9,8,4,3,2,1]=>11111001=>249
[5,7,9,8,6,4,3,2,1]=>11110101=>245
[7,6,8,5,9,4,3,2,1]=>11111100=>252
[6,5,8,9,7,4,3,2,1]=>11111010=>250
[8,7,9,10,6,5,4,3,2,1]=>111111100=>508
[6,3,1,8,2,7,5,4]=>1111100=>124
[6,4,1,3,2,5,7,8]=>1101000=>104
[4,1,7,8,3,2,5,6]=>1110000=>112
[5,4,7,1,3,6,2,8]=>1101000=>104
[7,6,2,8,4,5,3,1]=>1111010=>122
[5,8,2,1,3,6,4,7]=>1101000=>104
[7,6,4,3,5,2,1,9,8]=>11110101=>245
[7,6,3,5,4,2,1,9,8]=>11110101=>245
[8,5,1,7,3,4,6,2]=>1110100=>116
[5,7,6,3,4,1,8,2]=>1110010=>114
[7,8,9,10,1,5,6,3,4,2]=>111000000=>448
[1,8,3,5,2,6,4,7]=>0111000=>56
[3,4,6,1,8,5,7,2]=>1100100=>100
[2,3,8,7,4,5,1,6]=>1001001=>73
[1,8,3,5,7,4,2,6]=>0111000=>56
[2,5,8,4,6,7,1,3]=>1001000=>72
[9,8,6,1,2,3,4,5,7]=>10000101=>133
[9,8,7,5,1,2,3,4,6]=>10001011=>139
[9,8,7,6,4,1,2,3,5]=>10010111=>151
[9,8,7,6,5,3,1,2,4]=>10101111=>175
[7,1,2,6,4,3,5,8]=>1011000=>88
[7,1,2,6,5,3,4,8]=>1010100=>84
[4,7,8,6,2,3,5,1]=>1100010=>98
[7,1,2,4,8,6,5,3]=>1010110=>86
[2,7,5,6,4,8,1,3]=>1001100=>76
[2,8,3,6,5,7,1,4]=>1010100=>84
[9,8,4,7,6,5,3,2,1]=>11111101=>253
[9,8,3,7,6,5,4,2,1]=>11111101=>253
[9,3,8,7,6,5,4,2,1]=>11111110=>254
[9,2,8,7,6,5,4,3,1]=>11111110=>254
[10,9,8,5,7,6,4,3,2,1]=>111111011=>507
[9,8,4,6,5,7,3,2,1]=>11111001=>249
[10,9,8,4,7,6,5,3,2,1]=>111111011=>507
[9,8,3,6,5,4,7,2,1]=>11111001=>249
[10,9,4,8,7,6,5,3,2,1]=>111111101=>509
[9,3,7,6,5,4,8,2,1]=>11111100=>252
[9,2,7,6,5,4,3,8,1]=>11111100=>252
[10,3,9,8,7,6,5,4,2,1]=>111111110=>510
[10,2,9,8,7,6,5,4,3,1]=>111111110=>510
[7,4,3,1,6,5,2,8]=>1111100=>124
[3,5,1,2,6,8,7,4]=>1001001=>73
[3,1,2,4,8,7,5,6]=>1000101=>69
[5,4,1,2,3,7,8,6]=>1001010=>74
[1,6,7,2,5,8,3,4]=>0110000=>48
[7,8,5,6,2,4,3,1]=>1110100=>116
[5,3,8,6,2,4,1,7]=>1110010=>114
[2,7,4,6,3,8,1,5]=>1011000=>88
[5,4,7,8,6,2,1,3]=>1101010=>106
[2,7,4,8,3,1,5,6]=>1011000=>88
[8,2,1,3,7,4,6,5]=>1101100=>108
[6,5,8,2,3,4,7,1]=>1100100=>100
[7,8,2,3,6,4,5,1]=>1101000=>104
[8,2,4,1,3,7,5,6]=>1100100=>100
[4,2,6,7,5,1,8,3]=>1110100=>116
[4,7,2,5,3,8,1,6]=>1110000=>112
[3,5,7,4,2,8,1,6]=>1101000=>104
[2,4,7,6,3,8,1,5]=>1010010=>82
[4,6,8,5,1,2,3,7]=>1000100=>68
[4,6,5,7,1,2,3,8]=>1000100=>68
[4,6,5,7,1,3,8,2]=>1100100=>100
[3,4,7,6,1,8,2,5]=>1100010=>98
[8,5,2,1,6,3,4,7]=>1110100=>116
[7,1,8,5,3,2,4,6]=>1110100=>116
[9,10,2,1,6,4,3,5,7,8]=>111100000=>480
[7,10,2,1,8,4,3,5,6,9]=>111100000=>480
[2,9,1,10,7,4,3,5,6,8]=>101100100=>356
[2,8,1,9,4,3,10,5,6,7]=>101110000=>368
[10,8,5,2,1,6,3,4,7,9]=>111010010=>466
[9,5,2,1,10,6,3,4,7,8]=>111011000=>472
[10,7,2,1,8,5,3,4,6,9]=>111010100=>468
[9,2,1,10,7,5,3,4,6,8]=>111010100=>468
[2,8,1,9,3,10,5,4,6,7]=>101110000=>368
[10,6,2,1,7,3,8,4,5,9]=>111101000=>488
[9,2,1,10,6,3,7,4,5,8]=>111101000=>488
[8,2,1,9,3,10,6,4,5,7]=>111101000=>488
[7,2,1,8,3,9,4,10,5,6]=>111110000=>496
[10,8,6,3,1,4,2,5,7,9]=>111001010=>458
[3,9,1,10,6,4,2,5,7,8]=>110101000=>424
[10,7,3,1,8,4,2,5,6,9]=>111100100=>484
[9,3,1,10,7,4,2,5,6,8]=>111100100=>484
[8,3,1,9,4,2,10,5,6,7]=>111110000=>496
[10,8,5,1,6,3,2,4,7,9]=>111010010=>466
[9,5,1,10,6,3,2,4,7,8]=>111011000=>472
[10,7,1,8,5,3,2,4,6,9]=>111010100=>468
[9,1,10,7,5,3,2,4,6,8]=>111010100=>468
[8,3,1,9,2,10,5,4,6,7]=>111110000=>496
[10,6,1,7,3,2,8,4,5,9]=>111101000=>488
[9,1,10,6,3,2,7,4,5,8]=>111101000=>488
[8,1,9,3,2,10,6,4,5,7]=>111101000=>488
[7,1,8,3,2,9,4,10,5,6]=>111110000=>496
[10,8,4,1,5,2,6,3,7,9]=>111100010=>482
[9,4,1,10,5,2,6,3,7,8]=>111110000=>496
[10,7,1,8,4,2,5,3,6,9]=>111100100=>484
[9,1,10,7,4,2,5,3,6,8]=>111100100=>484
[8,1,9,4,2,10,5,3,6,7]=>111110000=>496
[10,6,1,7,2,8,4,3,5,9]=>111101000=>488
[9,1,10,6,2,7,4,3,5,8]=>111101000=>488
[8,1,9,2,10,6,4,3,5,7]=>111101000=>488
[7,1,8,2,9,4,3,10,5,6]=>111110000=>496
[10,5,1,6,2,7,3,8,4,9]=>111110000=>496
[9,1,10,5,2,6,3,7,4,8]=>111110000=>496
[8,1,9,2,10,5,3,6,4,7]=>111110000=>496
[7,1,8,2,9,3,10,5,4,6]=>111110000=>496
[8,6,1,3,2,7,5,4]=>1101110=>110
[8,1,7,5,2,4,6,3]=>1110100=>116
[8,2,7,5,4,1,6,3]=>1111100=>124
[8,6,1,2,7,3,5,4]=>1011010=>90
[4,2,8,5,7,1,6,3]=>1110100=>116
[6,8,7,4,5,3,2,1]=>1111001=>121
[5,2,6,7,4,8,3,1]=>1111000=>120
[6,5,8,1,7,3,2,4]=>1110100=>116
[6,4,8,1,5,2,3,7]=>1101000=>104
[7,2,4,1,6,3,5,8]=>1110000=>112
[4,2,1,3,6,5,8,7,9]=>11001010=>202
[4,2,1,3,6,5,8,7,10,9]=>110010101=>405
[6,2,1,4,3,5,8,7,9]=>11100010=>226
[2,6,1,5,3,4,8,7]=>1010001=>81
[3,8,7,5,4,2,6,1]=>1101101=>109
[5,7,8,2,3,6,4,1]=>1101000=>104
[2,8,7,3,1,4,5,6]=>1010001=>81
[5,6,1,2,4,7,8,3]=>1010000=>80
[10,2,3,1,4,5,6,7,8,9]=>110000000=>384
[9,2,3,4,1,5,6,7,8]=>11000000=>192
[9,8,4,5,7,6,3,2,1]=>11110101=>245
[9,8,5,4,6,7,3,2,1]=>11111001=>249
[10,9,8,6,5,7,4,3,2,1]=>111111011=>507
[10,9,8,4,5,7,6,3,2,1]=>111101011=>491
[9,8,4,5,3,7,6,2,1]=>11110101=>245
[9,8,3,5,7,6,4,2,1]=>11110101=>245
[9,8,5,4,6,3,7,2,1]=>11111001=>249
[9,8,4,3,6,7,5,2,1]=>11111001=>249
[10,9,8,5,4,6,7,3,2,1]=>111110011=>499
[3,8,6,7,5,4,2,1]=>1101110=>110
[7,8,5,1,4,6,2,3]=>1100100=>100
[8,2,7,5,4,6,1,3]=>1101100=>108
[8,4,7,6,3,1,2,5]=>1011010=>90
[4,6,7,1,3,2,8,5]=>1100100=>100
[6,4,7,5,3,2,8,1]=>1111100=>124
[8,4,6,3,1,5,7,2]=>1111000=>120
[7,3,1,4,5,6,8,2]=>1110000=>112
[6,7,3,4,2,1,8,5]=>1110100=>116
[6,4,8,3,1,5,7,2]=>1111000=>120
[7,4,2,3,5,1,8,6]=>1101010=>106
[3,1,6,5,2,4,8,7]=>1100101=>101
[2,5,3,8,6,4,1,7]=>1011010=>90
[5,8,4,1,3,2,7,6]=>1101010=>106
[5,3,4,7,6,1,8,2]=>1110010=>114
[4,5,2,1,6,3,8,7]=>1110001=>113
[4,5,2,1,6,7,3,8]=>1110000=>112
[5,3,8,6,2,4,7,1]=>1110010=>114
[2,5,1,6,4,3,8,7]=>1011001=>89
[3,6,2,8,5,7,1,4]=>1100100=>100
[4,6,8,1,5,7,2,3]=>1100000=>96
[4,1,2,5,7,6,3,8]=>1010010=>82
[4,6,5,8,1,7,3,2]=>1110100=>116
[2,1,3,6,4,8,7,5]=>1001101=>77
[4,8,1,2,7,5,6,3]=>1010100=>84
[1,6,4,3,8,7,5,2]=>0111101=>61
[4,5,1,6,8,7,2,3]=>1100001=>97
[3,4,7,2,5,8,6,1]=>1100010=>98
[2,5,1,8,6,4,7,3]=>1011010=>90
[2,5,8,7,3,1,4,6]=>1010001=>81
[9,8,7,4,3,2,1,5,6]=>11110011=>243
[9,8,7,6,3,2,1,4,5]=>11100111=>231
[3,8,7,2,6,1,4,5]=>1100001=>97
[8,4,5,1,6,7,2,3]=>1101000=>104
[8,4,7,3,1,5,2,6]=>1111000=>120
[2,5,1,8,3,6,4,7]=>1011000=>88
[5,8,4,7,3,2,1,6]=>1111000=>120
[5,6,8,4,2,7,1,3]=>1101000=>104
[4,3,8,6,1,2,5,7]=>1010010=>82
[4,8,6,5,7,1,3,2]=>1100110=>102
[7,2,3,5,6,8,4,1]=>1101000=>104
[5,8,1,3,4,7,2,6]=>1100000=>96
[8,3,4,2,7,6,1,5]=>1110010=>114
[8,7,5,6,4,1,3,2]=>1101101=>109
[8,7,4,2,3,6,5,1]=>1101101=>109
[8,4,2,3,7,6,5,1]=>1101110=>110
[7,2,4,5,3,1,6,8]=>1110000=>112
[7,6,3,1,4,5,8,2]=>1110010=>114
[3,7,4,6,2,1,8,5]=>1101100=>108
[5,4,1,7,8,6,2,3]=>1101010=>106
[5,3,4,7,8,1,6,2]=>1110000=>112
[4,3,7,6,5,1,8,2]=>1110110=>118
[5,1,4,8,2,3,7,6]=>1100010=>98
[3,2,8,5,4,1,6,7]=>1101100=>108
[7,8,9,1,3,4,5,6,2]=>11000000=>192
[6,1,2,9,3,4,5,7,8]=>10100000=>160
[4,1,2,3,5,9,6,7,8]=>10000100=>132
[3,1,2,4,5,6,9,7,8]=>10000010=>130
[1,2,8,3,4,6,5,7]=>0010100=>20
[8,1,2,7,3,5,4,6]=>1011000=>88
[5,7,1,2,6,3,4,8]=>1010000=>80
[1,2,7,5,6,3,4,8]=>0010100=>20
[5,1,4,7,2,3,6,8]=>1100000=>96
[4,8,1,2,3,6,5,7]=>1000100=>68
[1,3,4,2,5,6,7,8,9]=>01000000=>64
[1,2,4,5,6,3,7,8,9]=>00100000=>32
[1,2,3,5,6,7,8,4,9]=>00010000=>16
[2,1,5,3,6,7,4,8,9]=>10110000=>176
[1,3,5,6,4,2,7,8,9]=>01010000=>80
[3,5,2,1,6,4,7,8,9]=>11010000=>208
[2,1,3,6,4,7,8,9,5]=>10011000=>152
[1,3,4,6,7,2,8,5,9]=>01001000=>72
[3,2,6,1,4,7,8,5,9]=>11001000=>200
[2,4,6,1,7,5,3,8,9]=>10101000=>168
[4,6,3,2,1,7,5,8,9]=>11101000=>232
[2,4,1,7,5,8,3,9,6]=>10101100=>172
[4,3,7,2,1,5,8,9,6]=>11100100=>228
[1,3,5,7,8,6,4,2,9]=>01010100=>84
[3,5,7,2,1,8,6,4,9]=>11010100=>212
[5,7,4,3,2,1,8,6,9]=>11110100=>244
[2,4,6,8,1,9,7,5,3]=>10101010=>170
[4,6,8,3,2,1,9,7,5]=>11101010=>234
[6,8,5,4,3,2,1,9,7]=>11111010=>250
[1,3,4,2,5,6,7,8,9,10]=>010000000=>128
[1,2,4,5,6,3,7,8,9,10]=>001000000=>64
[1,2,3,5,6,7,8,4,9,10]=>000100000=>32
[2,1,5,3,6,7,4,8,9,10]=>101100000=>352
[1,3,5,6,4,2,7,8,9,10]=>010100000=>160
[3,5,2,1,6,4,7,8,9,10]=>110100000=>416
[2,1,3,6,4,7,8,9,5,10]=>100110000=>304
[1,3,4,6,7,2,8,5,9,10]=>010010000=>144
[3,2,6,1,4,7,8,5,9,10]=>110010000=>400
[2,4,6,1,7,5,3,8,9,10]=>101010000=>336
[4,6,3,2,1,7,5,8,9,10]=>111010000=>464
[1,3,4,2,7,8,5,9,10,6]=>010011000=>152
[3,2,1,7,4,5,8,9,10,6]=>110101000=>424
[1,2,4,5,7,8,9,6,3,10]=>001001000=>72
[4,3,7,2,1,5,8,9,6,10]=>111001000=>456
[1,3,5,7,8,6,4,2,9,10]=>010101000=>168
[3,5,7,2,1,8,6,4,9,10]=>110101000=>424
[5,7,4,3,2,1,8,6,9,10]=>111101000=>488
[2,1,5,3,8,6,9,10,7,4]=>101101100=>364
[1,3,5,6,8,9,4,2,10,7]=>010100100=>164
[3,5,2,8,1,6,9,4,10,7]=>110100100=>420
[5,4,8,3,2,1,6,9,10,7]=>111100100=>484
[2,4,6,8,1,9,7,5,3,10]=>101010100=>340
[4,6,8,3,2,1,9,7,5,10]=>111010100=>468
[6,8,5,4,3,2,1,9,7,10]=>111110100=>500
[3,5,7,9,2,1,10,8,6,4]=>110101010=>426
[5,7,9,4,3,2,1,10,8,6]=>111101010=>490
[7,9,6,5,4,3,2,1,10,8]=>111111010=>506
[6,2,3,8,7,1,4,5]=>1100001=>97
[8,2,3,6,4,7,5,1]=>1101100=>108
[7,2,3,6,4,8,1,5]=>1101000=>104
[4,5,6,3,7,2,8,1,9]=>11100000=>224
[1,5,6,7,4,8,3,9,2]=>01110000=>112
[4,5,1,3,2,6,8,7]=>1100001=>97
[6,4,7,5,1,3,2,8]=>1101100=>108
[5,3,1,6,2,7,8,4]=>1111000=>120
[6,7,2,4,1,8,3,5]=>1110000=>112
[5,1,6,3,2,7,8,4]=>1111000=>120
[5,2,1,6,4,7,3,8]=>1111000=>120
[5,4,1,6,2,7,8,3]=>1111000=>120
[6,7,2,5,4,1,3,8]=>1101000=>104
[7,1,3,5,4,2,8,6]=>1101010=>106
[7,6,8,2,4,5,3,1]=>1110010=>114
[4,2,8,6,5,1,3,7]=>1100110=>102
[3,8,5,4,7,1,2,6]=>1001100=>76
[1,4,8,3,6,2,7,5]=>0110100=>52
[6,3,2,4,8,7,1,5]=>1110001=>113
[8,3,2,7,4,1,5,6]=>1111000=>120
[7,3,2,6,5,8,1,4]=>1110100=>116
[3,6,2,5,7,4,8,1]=>1101000=>104
[2,7,1,5,8,6,4,3]=>1011010=>90
[7,2,4,1,6,8,5,3]=>1110100=>116
[6,4,7,2,3,8,5,1]=>1101100=>108
[6,1,8,5,7,4,2,3]=>1101100=>108
[7,1,4,3,6,5,8,2]=>1110100=>116
[7,1,5,6,3,4,8,2]=>1110000=>112
[6,1,8,5,4,7,3,2]=>1111100=>124
[7,6,1,5,4,2,8,3]=>1111010=>122
[5,1,6,8,7,2,4,3]=>1110001=>113
[4,6,7,5,3,1,8,2]=>1110100=>116
[5,3,2,6,8,7,4,1]=>1111001=>121
[5,4,6,2,8,7,3,1]=>1111001=>121
[4,5,8,6,7,2,3,1]=>1100010=>98
[4,5,7,6,1,2,8,3]=>1010010=>82
[4,6,5,7,2,1,8,3]=>1110100=>116
[2,3,7,5,6,1,10,9,4,8]=>100110001=>305
[2,3,4,10,6,9,8,5,1,7]=>100011010=>282
[2,3,6,5,9,10,8,4,1,7]=>100110010=>306
[2,3,9,5,8,7,4,1,10,6]=>100111100=>316
[2,5,4,9,6,10,8,3,1,7]=>101101010=>362
[2,5,4,8,9,7,3,1,10,6]=>101101100=>364
[2,3,4,10,6,7,1,9,8,5]=>100011010=>282
[2,3,7,5,6,1,10,9,8,4]=>100110011=>307
[2,3,4,10,6,8,9,1,7,5]=>100011000=>280
[2,3,6,5,8,10,9,1,7,4]=>100110001=>305
[2,3,8,5,7,9,1,10,6,4]=>100111000=>312
[2,5,4,8,6,10,9,1,7,3]=>101101001=>361
[2,5,4,7,8,9,1,10,6,3]=>101101000=>360
[2,3,4,10,6,9,8,7,5,1]=>100011110=>286
[2,3,6,5,9,10,8,7,4,1]=>100110110=>310
[2,3,7,5,9,8,10,6,4,1]=>100111010=>314
[2,3,9,5,8,7,6,4,1,10]=>100111100=>316
[2,5,4,9,6,10,8,7,3,1]=>101101110=>366
[2,5,4,9,7,8,10,6,3,1]=>101101100=>364
[2,5,4,8,9,7,6,3,1,10]=>101101100=>364
[2,3,4,10,7,9,8,1,6,5]=>100010110=>278
[2,3,5,7,10,9,8,1,6,4]=>100100011=>291
[2,3,8,6,9,7,1,10,5,4]=>100111100=>316
[2,4,7,5,10,9,8,1,6,3]=>101010011=>339
[2,4,6,8,9,7,1,10,5,3]=>101010100=>340
[2,3,4,10,7,8,9,6,5,1]=>100011100=>284
[2,3,5,7,10,8,9,6,4,1]=>100101010=>298
[2,3,7,6,8,9,10,5,4,1]=>100111000=>312
[2,3,9,6,7,8,5,4,1,10]=>100111000=>312
[2,4,7,5,10,8,9,6,3,1]=>101011010=>346
[2,4,6,7,8,9,10,5,3,1]=>101010000=>336
[2,4,6,9,7,8,5,3,1,10]=>101010100=>340
[2,6,5,8,9,7,10,4,3,1]=>101110100=>372
[2,6,5,7,8,9,4,3,1,10]=>101110000=>368
[3,7,4,5,10,9,8,1,6,2]=>110100011=>419
[3,6,4,8,9,7,1,10,5,2]=>110110100=>436
[3,7,4,5,10,8,9,6,2,1]=>110101010=>426
[3,6,4,7,8,9,10,5,2,1]=>110110000=>432
[3,6,4,9,7,8,5,2,1,10]=>110110100=>436
[3,5,6,8,9,7,10,4,2,1]=>110100100=>420
[3,5,6,7,8,9,4,2,1,10]=>110100000=>416
[7,4,8,6,3,5,1,2]=>1011010=>90
[2,3,4,7,8,6,1,5]=>1000010=>66
[6,3,7,1,4,2,8,5]=>1110100=>116
[4,3,2,7,6,5,1,9,8,10]=>111011010=>474
[4,3,2,1,7,6,9,8,5,10]=>111011010=>474
[4,3,2,7,6,1,9,8,5,10]=>111011010=>474
[4,3,2,7,6,9,8,5,1,10]=>111011010=>474
[4,3,7,6,2,1,9,8,5,10]=>111011010=>474
[4,3,7,6,2,9,8,5,1,10]=>111011010=>474
[4,3,2,1,7,6,5,9,10,8]=>111011010=>474
[4,3,2,7,6,5,1,9,10,8]=>111011010=>474
[4,3,2,1,7,6,9,5,10,8]=>111011010=>474
[4,3,2,7,6,1,9,5,10,8]=>111011010=>474
[4,3,2,7,6,9,5,1,10,8]=>111011010=>474
[4,3,7,6,2,1,9,5,10,8]=>111011010=>474
[4,3,7,6,2,9,5,1,10,8]=>111011010=>474
[4,3,2,1,7,6,9,10,8,5]=>111011010=>474
[4,3,2,7,6,1,9,10,8,5]=>111011010=>474
[4,3,2,7,6,9,1,10,8,5]=>111011010=>474
[4,3,2,7,6,9,10,8,5,1]=>111011010=>474
[4,3,7,6,2,1,9,10,8,5]=>111011010=>474
[4,3,7,6,2,9,1,10,8,5]=>111011010=>474
[4,3,7,6,2,9,10,8,5,1]=>111011010=>474
[4,3,2,1,7,9,6,5,10,8]=>111011010=>474
[4,3,2,7,1,9,6,5,10,8]=>111011010=>474
[4,3,2,7,9,6,5,1,10,8]=>111011010=>474
[4,3,7,2,1,9,6,5,10,8]=>111011010=>474
[4,3,7,2,9,6,5,1,10,8]=>111011010=>474
[4,3,2,1,7,9,6,10,8,5]=>111011010=>474
[4,3,2,7,1,9,6,10,8,5]=>111011010=>474
[4,3,2,7,9,6,1,10,8,5]=>111011010=>474
[4,3,2,7,9,6,10,8,5,1]=>111011010=>474
[4,3,7,2,1,9,6,10,8,5]=>111011010=>474
[4,3,7,2,9,6,1,10,8,5]=>111011010=>474
[4,3,7,2,9,6,10,8,5,1]=>111011010=>474
[4,3,7,9,6,2,1,10,8,5]=>111011010=>474
[4,3,7,9,6,2,10,8,5,1]=>111011010=>474
[4,7,3,2,1,9,6,5,10,8]=>111011010=>474
[4,7,3,2,9,6,5,1,10,8]=>111011010=>474
[4,7,3,2,1,9,6,10,8,5]=>111011010=>474
[4,7,3,2,9,6,1,10,8,5]=>111011010=>474
[4,7,3,2,9,6,10,8,5,1]=>111011010=>474
[4,7,3,9,6,2,1,10,8,5]=>111011010=>474
[4,6,3,5,1,8,2,7]=>1110000=>112
[8,5,7,6,2,3,4,1]=>1100110=>102
[3,5,6,7,8,9,2,4,1]=>11000000=>192
[3,4,6,7,8,2,5,1]=>1100000=>96
[2,4,6,7,8,9,1,3,5]=>10000000=>128
[2,5,6,7,3,8,1,4]=>1010000=>80
[2,5,6,7,8,9,3,1,4]=>10100000=>160
[5,8,4,6,2,1,7,3]=>1111000=>120
[2,4,7,5,8,6,3,1]=>1010110=>86
[1,6,8,3,4,2,7,5]=>0110100=>52
[4,1,7,6,2,8,3,5]=>1110010=>114
[4,1,8,2,7,5,3,6]=>1110100=>116
[4,1,7,2,8,5,3,6]=>1110100=>116
[2,5,6,3,7,4,8,1]=>1011000=>88
[2,6,5,3,8,4,7,1]=>1011100=>92
[2,6,5,3,7,4,8,1]=>1011100=>92
[7,1,6,3,5,4,8,2]=>1111000=>120
[5,7,3,2,8,4,1,6]=>1111000=>120
[2,8,6,1,7,5,3,4]=>1010110=>86
[8,1,5,2,7,4,3,6]=>1111000=>120
[7,1,4,2,8,5,3,6]=>1110100=>116
[2,6,8,1,7,5,3,4]=>1010100=>84
[1,4,6,5,3,8,2,7]=>0110100=>52
[2,4,5,8,7,1,3,6]=>1000001=>65
[3,1,6,8,7,5,4,2]=>1101101=>109
[3,1,8,7,5,6,4,2]=>1101101=>109
[5,1,8,7,6,3,4,2]=>1110011=>115
[8,2,7,5,3,6,4,1]=>1111100=>124
[8,7,2,3,1,5,6,4]=>1101001=>105
[2,8,5,7,6,1,3,4]=>1000110=>70
[1,8,7,2,6,4,5,3]=>0111001=>57
[8,7,2,1,6,4,5,3]=>1111001=>121
[1,8,4,7,6,2,5,3]=>0111010=>58
[8,7,1,6,4,3,5,2]=>1111001=>121
[8,4,1,7,3,6,5,2]=>1111100=>124
[5,4,6,3,8,1,7,2,9]=>11110000=>240
[1,6,5,7,4,9,2,8,3]=>01111000=>120
[5,6,4,7,3,9,1,8,2,10]=>111100000=>480
[5,4,8,1,7,2,6,3,9]=>11110000=>240
[5,4,8,1,6,3,7,2,9]=>11110000=>240
[1,6,5,9,2,8,3,7,4]=>01111000=>120
[1,6,5,9,2,7,4,8,3]=>01111000=>120
[1,6,7,5,8,4,10,2,9,3]=>011110000=>240
[8,3,6,2,1,5,4,7]=>1111000=>120
[4,5,6,7,8,9,1,10,2,3]=>110000000=>384
[2,5,6,7,8,1,9,3,4]=>10100000=>160
[4,5,6,7,1,2,8,3,9]=>10100000=>160
[1,3,6,7,8,9,2,4,5]=>01000000=>64
[3,5,6,7,8,1,2,9,4]=>10010000=>144
[3,2,5,4,7,6,8,10,9,1]=>110101001=>425
[3,2,5,4,6,9,7,8,10,1]=>110100100=>420
[3,2,5,4,6,8,7,10,9,1]=>110100101=>421
[3,2,5,4,6,7,10,8,9,1]=>110100010=>418
[3,2,4,7,5,6,9,8,10,1]=>110010010=>402
[3,2,4,7,5,6,8,10,9,1]=>110010001=>401
[3,2,4,6,5,9,7,8,10,1]=>110010100=>404
[3,2,4,6,5,8,7,10,9,1]=>110010101=>405
[3,2,4,6,5,7,10,8,9,1]=>110010010=>402
[3,2,4,5,9,6,7,8,10,1]=>110001000=>392
[3,2,4,5,8,6,7,10,9,1]=>110001001=>393
[3,2,4,5,7,6,10,8,9,1]=>110001010=>394
[3,2,4,5,6,10,7,8,9,1]=>110000100=>388
[2,5,3,4,7,6,9,8,10,1]=>101001010=>330
[2,5,3,4,7,6,8,10,9,1]=>101001001=>329
[2,5,3,4,6,9,7,8,10,1]=>101000100=>324
[2,5,3,4,6,8,7,10,9,1]=>101000101=>325
[2,5,3,4,6,7,10,8,9,1]=>101000010=>322
[2,4,3,7,5,6,9,8,10,1]=>101010010=>338
[2,4,3,7,5,6,8,10,9,1]=>101010001=>337
[2,4,3,6,5,9,7,8,10,1]=>101010100=>340
[2,4,3,6,5,7,10,8,9,1]=>101010010=>338
[2,4,3,5,9,6,7,8,10,1]=>101001000=>328
[2,4,3,5,8,6,7,10,9,1]=>101001001=>329
[2,4,3,5,7,6,10,8,9,1]=>101001010=>330
[2,4,3,5,6,10,7,8,9,1]=>101000100=>324
[2,3,7,4,5,6,9,8,10,1]=>100100010=>290
[2,3,7,4,5,6,8,10,9,1]=>100100001=>289
[2,3,6,4,5,9,7,8,10,1]=>100100100=>292
[2,3,6,4,5,8,7,10,9,1]=>100100101=>293
[2,3,6,4,5,7,10,8,9,1]=>100100010=>290
[2,3,5,4,9,6,7,8,10,1]=>100101000=>296
[2,3,5,4,8,6,7,10,9,1]=>100101001=>297
[2,3,5,4,7,6,10,8,9,1]=>100101010=>298
[2,3,5,4,6,10,7,8,9,1]=>100100100=>292
[2,3,4,9,5,6,7,8,10,1]=>100010000=>272
[2,3,4,8,5,6,7,10,9,1]=>100010001=>273
[2,3,4,7,5,6,10,8,9,1]=>100010010=>274
[2,3,4,6,5,10,7,8,9,1]=>100010100=>276
[1,7,3,6,8,2,5,4]=>0111000=>56
[4,5,1,8,7,3,6,2]=>1110001=>113
[3,8,5,2,6,7,4,1]=>1101100=>108
[4,3,8,5,2,6,1,7]=>1110100=>116
[3,6,4,7,5,2,1,8]=>1101100=>108
[5,7,4,1,2,6,8,3]=>1011000=>88
[2,8,6,7,5,3,1,4]=>1010110=>86
[7,4,5,2,6,3,1,8]=>1111000=>120
[8,6,3,4,5,1,7,2]=>1110010=>114
[8,6,3,5,4,1,7,2]=>1111010=>122
[8,7,4,5,1,3,6,2]=>1101001=>105
[8,6,2,5,3,1,4,7]=>1110010=>114
[8,4,7,3,1,2,5,6]=>1011000=>88
[8,7,3,5,1,6,4,2]=>1111001=>121
[4,8,3,2,6,1,7,5]=>1110100=>116
[4,3,7,6,1,5,2,8]=>1110010=>114
[7,5,4,3,6,1,8,2]=>1111100=>124
[4,6,8,5,3,1,2,7]=>1010100=>84
[5,6,8,4,3,7,2,1]=>1111000=>120
[7,5,8,4,2,1,6,3]=>1111100=>124
[1,4,8,7,6,2,5,3]=>0110011=>51
[7,2,4,1,5,3,8,6]=>1110010=>114
[8,5,3,4,1,7,2,6]=>1110100=>116
[2,8,5,4,3,6,1,7]=>1011100=>92
[8,6,5,3,1,2,7,4]=>1011110=>94
[7,4,6,5,3,2,8,1]=>1111100=>124
[5,6,7,2,3,8,4,1]=>1101000=>104
[8,4,2,6,5,7,3,1]=>1111100=>124
[1,7,4,2,8,5,6,3]=>0111100=>60
[3,2,1,7,4,6,8,5]=>1101100=>108
[6,2,5,7,1,4,3,8]=>1110000=>112
[4,8,5,3,1,2,6,7]=>1010100=>84
[8,5,2,4,6,1,3,7]=>1100100=>100
[1,5,3,4,7,2,6,8]=>0110000=>48
[8,4,6,1,5,7,3,2]=>1111000=>120
[6,4,7,2,1,3,8,5]=>1101100=>108
[6,7,3,1,2,4,8,5]=>1010100=>84
[3,1,8,7,6,2,5,4]=>1101011=>107
[1,3,8,6,7,2,5,4]=>0101010=>42
[5,2,3,6,1,8,4,7]=>1101000=>104
[3,2,6,4,7,1,5,8]=>1101000=>104
[3,6,2,5,7,8,4,1]=>1101000=>104
[2,7,4,6,8,3,5,1]=>1011000=>88
[3,7,6,8,1,5,4,2]=>1101010=>106
[1,5,7,6,8,4,2,3]=>0101010=>42
[2,7,4,6,8,5,3,1]=>1011100=>92
[3,7,6,8,5,1,4,2]=>1100110=>102
[7,1,3,8,6,2,4,5]=>1100010=>98
[2,7,1,8,6,5,3,4]=>1010110=>86
[2,3,4,5,7,6,8,9,1]=>10000100=>132
[2,3,4,5,7,8,6,9,1]=>10000100=>132
[2,3,4,5,8,7,6,9,1]=>10000110=>134
[2,3,4,5,7,9,8,6,1]=>10000101=>133
[4,5,6,3,7,8,9,2,1]=>11100000=>224
[3,4,5,6,2,7,8,9,10,1]=>110000000=>384
[2,4,5,6,3,7,8,9,10,1]=>101000000=>320
[2,3,5,6,4,7,8,9,10,1]=>100100000=>288
[8,1,5,2,6,4,7,3]=>1111000=>120
[4,6,7,5,1,2,3,8]=>1000100=>68
[5,3,4,7,6,2,1,8]=>1110010=>114
[7,4,5,3,8,1,6,2]=>1111000=>120
[7,3,6,1,4,2,8,5]=>1110100=>116
[8,7,2,6,4,5,1,3]=>1101001=>105
[1,2,3,4,7,9,5,6,8]=>00001000=>8
[1,2,3,4,6,7,9,5,8]=>00001000=>8
[1,2,3,4,8,5,6,9,7]=>00001010=>10
[1,2,3,4,7,8,5,9,6]=>00001100=>12
[2,6,4,8,3,5,1,7]=>1011000=>88
[1,4,8,5,3,2,7,6]=>0110110=>54
[3,5,8,4,6,7,1,2]=>1001000=>72
[1,2,4,8,5,7,3,6]=>0010100=>20
[7,3,4,1,8,2,5,6]=>1110000=>112
[5,6,3,1,8,2,4,7]=>1110000=>112
[7,3,6,5,1,8,4,2]=>1111100=>124
[5,7,2,1,4,8,6,3]=>1110010=>114
[7,6,3,5,2,1,8,4]=>1111010=>122
[7,1,4,6,8,5,3,2]=>1110100=>116
[7,2,5,1,6,4,8,3]=>1111000=>120
[2,7,1,5,6,4,8,3]=>1011000=>88
[1,5,7,8,4,6,3,2]=>0111000=>56
[1,4,8,5,7,6,3,2]=>0110110=>54
[2,8,1,5,6,4,7,3]=>1011000=>88
[3,7,2,8,1,5,6,4]=>1101000=>104
[7,3,2,5,1,6,8,4]=>1111000=>120
[8,7,2,1,3,6,5,4]=>1101101=>109
[7,3,2,8,1,4,6,5]=>1110100=>116
[3,6,2,1,8,4,7,5]=>1101100=>108
[4,6,5,3,1,8,7,2]=>1110101=>117
[4,5,2,6,7,3,8,1]=>1110000=>112
[9,3,10,1,2,4,5,6,7,8]=>101000000=>320
[10,3,1,9,2,4,5,6,7,8]=>111000000=>448
[3,1,4,10,2,5,6,7,8,9]=>110000000=>384
[8,6,7,4,3,1,5,2]=>1111010=>122
[4,7,1,8,5,3,2,6]=>1110100=>116
[8,6,7,1,4,3,5,2]=>1110010=>114
[8,6,7,2,1,3,5,4]=>1101010=>106
[8,5,6,1,7,4,2,3]=>1101100=>108
[6,4,1,2,5,7,8,3]=>1011000=>88
[6,1,5,4,2,7,3,8]=>1111000=>120
[6,4,2,3,1,7,5,8]=>1101100=>108
[3,4,6,1,8,2,7,5]=>1100100=>100
[5,3,1,4,7,6,2,8]=>1110010=>114
[6,4,5,2,7,1,3,8]=>1101000=>104
[7,4,3,5,1,6,2,8]=>1111000=>120
[7,5,3,6,2,1,4,8]=>1110100=>116
[6,4,3,7,1,8,2,5]=>1111000=>120
[3,1,2,7,6,4,5,8]=>1001010=>74
[5,1,2,7,6,3,4,8]=>1010010=>82
[5,6,1,7,2,4,3,8]=>1110000=>112
[3,5,6,8,1,2,7,4]=>1001000=>72
[2,6,5,7,1,3,4,8]=>1000100=>68
[2,3,7,1,5,6,4,8]=>1001000=>72
[2,6,5,3,4,1,7,8]=>1010100=>84
[2,6,1,3,5,4,7,8]=>1001000=>72
[4,6,1,5,2,8,7,3]=>1110001=>113
[6,1,5,4,2,7,8,3]=>1111000=>120
[4,6,1,5,2,7,8,3]=>1110000=>112
[2,8,6,5,1,3,7,4]=>1001110=>78
[5,1,8,6,2,7,4,3]=>1111010=>122
[3,6,8,2,7,5,1,4]=>1100100=>100
[5,6,4,1,7,2,8,3]=>1111000=>120
[3,8,6,1,5,7,4,2]=>1101010=>106
[8,1,6,3,4,2,5,7]=>1110000=>112
[7,4,2,3,1,6,8,5]=>1101100=>108
[6,4,2,3,7,8,1,5]=>1101000=>104
[4,3,6,2,5,8,1,7]=>1110000=>112
[9,8,10,7,6,5,4,3,1,2]=>101111110=>382
[8,7,9,6,5,4,2,1,3]=>11011110=>222
[8,9,7,6,5,4,2,1,3]=>11011110=>222
[8,9,7,6,5,4,2,3,1]=>11011110=>222
[10,7,1,2,3,4,8,9,5,6]=>100010100=>276
[1,6,4,5,7,3,2,8]=>0111000=>56
[1,6,4,5,7,2,8,3]=>0111000=>56
[1,7,5,6,4,8,3,2]=>0111100=>60
[1,5,6,7,3,2,4,8]=>0110000=>48
[8,2,4,3,1,7,5,6]=>1110100=>116
[8,2,1,4,3,7,5,6]=>1110100=>116
[7,6,8,2,1,5,3,4]=>1110010=>114
[8,6,2,5,1,3,7,4]=>1101010=>106
[7,1,6,8,3,2,4,5]=>1110000=>112
[5,7,2,6,4,1,8,3]=>1111000=>120
[4,5,6,1,3,8,2,7]=>1100000=>96
[6,3,5,7,4,2,8,1]=>1111000=>120
[7,6,4,8,5,3,1,2]=>1011110=>94
[8,2,1,6,4,7,3,5]=>1111000=>120
[1,3,8,6,5,2,7,4]=>0101110=>46
[2,7,3,8,5,6,4,1]=>1011100=>92
[1,2,8,5,7,4,6,3]=>0011100=>28
[1,6,8,5,4,7,2,3]=>0101100=>44
[5,7,1,8,3,2,6,4]=>1111000=>120
[2,1,3,8,6,4,7,5]=>1001110=>78
[8,2,5,4,3,7,1,6]=>1111000=>120
[5,8,4,3,7,6,2,1]=>1111010=>122
[8,1,5,3,4,7,2,6]=>1110000=>112
[6,1,8,7,4,5,3,2]=>1111001=>121
[1,5,8,6,4,3,7,2]=>0111010=>58
[5,8,6,4,2,1,7,3]=>1111010=>122
[2,6,1,8,4,7,5,3]=>1011100=>92
[5,3,8,6,1,2,7,4]=>1011010=>90
[5,8,1,4,6,2,7,3]=>1110000=>112
[3,7,6,2,1,4,8,5]=>1100110=>102
[4,6,2,3,7,1,8,5]=>1100100=>100
[6,8,7,5,1,3,4,2]=>1100101=>101
[6,4,3,2,7,8,5,1]=>1111100=>124
[2,7,6,1,5,3,8,4]=>1011010=>90
[7,8,6,4,2,5,3,1]=>1111010=>122
[6,4,5,8,7,1,3,2]=>1101001=>105
[6,4,1,7,8,3,2,5]=>1111000=>120
[2,3,4,5,8,6,7,9,1]=>10000100=>132
[2,3,4,5,9,6,8,7,1]=>10000110=>134
[9,3,4,5,2,6,7,8,1]=>11100000=>224
[6,2,3,4,5,7,8,9,10,1]=>110000000=>384
[2,6,3,4,5,7,8,9,10,1]=>101000000=>320
[2,3,6,4,5,7,8,9,10,1]=>100100000=>288
[6,4,3,8,7,2,5,1]=>1111001=>121
[5,4,7,2,1,3,8,6]=>1101010=>106
[7,8,2,3,4,5,1,6,9]=>11000000=>192
[1,8,9,3,4,5,6,2,7]=>01100000=>96
[2,6,4,5,7,1,8,3]=>1011000=>88
[3,7,4,6,1,5,8,2]=>1101000=>104
[3,4,6,5,2,8,1,7]=>1100100=>100
[4,6,7,5,8,2,1,3]=>1100100=>100
[2,5,7,6,4,1,8,3]=>1011010=>90
[5,1,4,6,2,7,8,3]=>1110000=>112
[1,2,5,3,7,8,6,4]=>0011010=>26
[4,8,3,5,1,2,7,6]=>1010010=>82
[6,1,3,7,2,8,4,5]=>1101000=>104
[3,8,5,4,1,7,2,6]=>1101100=>108
[3,1,5,8,2,6,7,4]=>1101000=>104
[2,8,5,3,1,7,4,6]=>1011100=>92
[6,5,2,3,7,1,8,4]=>1101100=>108
[7,2,1,6,4,8,3,5]=>1111000=>120
[2,1,3,7,5,8,4,6]=>1001100=>76
[6,2,4,5,7,1,8,3]=>1110000=>112
[2,3,8,7,1,4,6,5]=>1000101=>69
[4,2,7,5,6,8,1,3]=>1100100=>100
[2,1,3,4,5,8,6,7,9]=>10000100=>132
[6,8,2,5,4,7,3,1]=>1111000=>120
[9,2,3,4,5,1,6,7,8]=>11000000=>192
[7,2,3,4,5,6,9,1,8]=>11000000=>192
[10,2,3,4,5,6,7,1,8,9]=>110000000=>384
[6,2,3,4,5,9,1,7,8]=>11000000=>192
[10,2,3,4,5,6,1,7,8,9]=>110000000=>384
[5,2,3,4,9,1,6,7,8]=>11000000=>192
[10,2,3,4,5,1,6,7,8,9]=>110000000=>384
[4,2,3,9,1,5,6,7,8]=>11000000=>192
[10,2,3,4,1,5,6,7,8,9]=>110000000=>384
[3,2,9,1,4,5,6,7,8]=>11000000=>192
[2,7,6,3,8,4,5,1]=>1011010=>90
[4,6,8,2,3,1,7,5]=>1100100=>100
[4,7,2,3,5,1,8,6]=>1100010=>98
[6,4,2,1,3,7,5,8]=>1101100=>108
[2,8,1,3,4,5,6,10,7,9]=>100000100=>260
[10,7,1,2,3,4,5,9,6,8]=>100001100=>268
[5,3,2,7,6,1,8,4]=>1111010=>122
[5,6,4,2,8,7,1,3]=>1101001=>105
[5,7,4,2,6,1,8,3]=>1111000=>120
[5,4,7,1,6,2,8,3]=>1111000=>120
[4,5,8,7,6,2,1,3]=>1100011=>99
[6,4,7,1,2,3,8,5]=>1001100=>76
[4,5,6,8,2,9,3,10,7,1]=>111000100=>452
[10,4,5,6,9,3,8,2,7,1]=>111100000=>480
[4,5,10,6,9,3,8,2,7,1]=>111001000=>456
[4,5,8,2,6,10,9,3,7,1]=>111000001=>449
[10,6,9,5,4,3,8,2,7,1]=>111111000=>504
[8,2,6,10,9,5,4,3,7,1]=>111110001=>497
[8,2,10,4,5,6,7,1,9,3]=>111100000=>480
[4,5,6,8,2,10,7,1,9,3]=>111000100=>452
[10,4,5,6,8,2,7,1,9,3]=>111100000=>480
[4,5,10,6,8,2,7,1,9,3]=>111001000=>456
[4,5,10,8,2,6,7,1,9,3]=>111000010=>450
[10,6,8,2,7,1,9,5,4,3]=>111111000=>504
[10,8,2,6,7,1,9,5,4,3]=>111110010=>498
[8,2,7,1,9,3,10,4,5,6]=>111100000=>480
[4,5,8,2,7,1,9,3,10,6]=>111001000=>456
[4,5,9,3,10,7,1,8,2,6]=>111000100=>452
[4,5,7,1,9,3,8,2,6,10]=>111000000=>448
[8,2,7,1,9,5,4,3,10,6]=>111111000=>504
[9,5,4,3,10,7,1,8,2,6]=>111110100=>500
[7,1,9,5,4,3,8,2,6,10]=>111110000=>496
[8,2,6,10,4,5,7,1,9,3]=>111100000=>480
[4,8,2,6,10,5,7,1,9,3]=>111010000=>464
[4,10,8,2,5,6,7,1,9,3]=>111000010=>450
[8,2,6,10,5,7,1,9,4,3]=>111110000=>496
[10,8,2,5,6,7,1,9,4,3]=>111100010=>482
[9,3,10,4,5,7,1,8,2,6]=>111100000=>480
[4,9,3,10,5,7,1,8,2,6]=>111010000=>464
[4,9,3,10,7,1,8,2,5,6]=>111000100=>452
[4,7,1,9,3,8,2,5,6,10]=>111000000=>448
[9,4,3,10,5,7,1,8,2,6]=>111110000=>496
[9,4,3,10,7,1,8,2,5,6]=>111100100=>484
[7,1,9,4,3,8,2,5,6,10]=>111100000=>480
[5,10,7,1,8,2,4,3,9,6]=>111001100=>460
[5,7,1,8,2,4,3,9,6,10]=>111001000=>456
[10,5,7,1,9,4,2,6,8,3]=>111110000=>496
[9,4,2,5,6,7,1,10,8,3]=>111100010=>482
[10,5,7,1,8,3,9,4,2,6]=>111110000=>496
[10,7,1,8,3,9,4,2,5,6]=>111100100=>484
[7,1,8,3,9,4,2,5,6,10]=>111100000=>480
[4,2,5,10,7,1,8,3,9,6]=>111001100=>460
[4,2,5,7,1,8,3,9,6,10]=>111001000=>456
[6,1,7,3,8,4,5,2]=>1111000=>120
[8,2,3,1,6,4,7,5]=>1101100=>108
[1,8,7,2,3,4,6,5]=>0100101=>37
[1,8,3,7,6,2,5,4]=>0111010=>58
[1,3,8,2,5,6,4,7]=>0101000=>40
[1,3,2,7,4,6,8,5]=>0101100=>44
[1,3,8,4,6,2,7,5]=>0101100=>44
[8,2,3,6,7,4,5,1]=>1101000=>104
[5,6,4,2,1,7,3,8]=>1111000=>120
[2,5,7,6,3,8,4,1]=>1011010=>90
[6,4,7,1,2,5,3,8]=>1011000=>88
[4,5,6,7,8,9,1,2,10,3]=>101000000=>320
[4,5,6,7,8,1,3,9,2]=>11000000=>192
[1,2,7,5,8,6,3,4]=>0010110=>22
[2,1,9,8,7,6,5,3,4]=>10101111=>175
[2,1,9,8,7,6,4,3,5]=>10110111=>183
[2,1,9,8,7,6,3,5,4]=>10110111=>183
[2,1,10,9,8,7,6,5,3,4]=>101011111=>351
[7,4,5,1,6,8,2,3]=>1101000=>104
[1,7,8,4,2,6,3,5]=>0111000=>56
[6,3,2,5,7,4,1,8]=>1111000=>120
[6,2,1,5,3,7,8,4]=>1111000=>120
[6,2,5,1,3,8,7,4]=>1101001=>105
[6,2,8,5,1,3,7,4]=>1101100=>108
[10,9,7,3,6,1,2,4,8,5]=>101010101=>341
[9,7,3,6,1,2,4,10,8,5]=>101010110=>342
[7,3,10,9,6,1,2,4,8,5]=>101011001=>345
[7,3,9,6,1,2,4,10,8,5]=>101011010=>346
[9,6,1,2,4,10,7,3,8,5]=>101011100=>348
[8,4,10,9,7,3,6,1,2,5]=>101100101=>357
[10,8,4,9,7,3,6,1,2,5]=>101100110=>358
[7,3,8,4,10,9,6,1,2,5]=>101101001=>361
[7,3,10,8,4,9,6,1,2,5]=>101101010=>362
[10,7,3,8,4,9,6,1,2,5]=>101101100=>364
[6,1,2,7,3,8,4,10,9,5]=>101110001=>369
[6,1,2,7,3,10,8,4,9,5]=>101110010=>370
[6,1,2,10,7,3,8,4,9,5]=>101110100=>372
[10,6,1,2,7,3,8,4,9,5]=>101111000=>376
[6,1,3,10,9,7,2,4,8,5]=>110010101=>405
[6,1,3,9,7,2,4,10,8,5]=>110010110=>406
[10,9,6,1,3,7,2,4,8,5]=>110011001=>409
[9,6,1,3,7,2,4,10,8,5]=>110011010=>410
[10,7,2,4,9,6,1,3,8,5]=>110011100=>412
[6,1,3,8,4,10,9,7,2,5]=>110100101=>421
[6,1,3,10,8,4,9,7,2,5]=>110100110=>422
[8,4,10,9,6,1,3,7,2,5]=>110101001=>425
[10,8,4,9,6,1,3,7,2,5]=>110101010=>426
[9,6,1,3,8,4,10,7,2,5]=>110101100=>428
[7,2,6,1,3,8,4,10,9,5]=>110110001=>433
[7,2,6,1,3,10,8,4,9,5]=>110110010=>434
[10,7,2,6,1,3,8,4,9,5]=>110110100=>436
[7,2,10,6,1,3,8,4,9,5]=>110111000=>440
[8,3,6,1,4,10,9,7,2,5]=>111000101=>453
[10,8,3,6,1,4,9,7,2,5]=>111000110=>454
[10,9,6,1,4,8,3,7,2,5]=>111001001=>457
[9,6,1,4,10,8,3,7,2,5]=>111001010=>458
[8,3,9,6,1,4,10,7,2,5]=>111001100=>460
[8,3,7,2,6,1,4,10,9,5]=>111010001=>465
[10,8,3,7,2,6,1,4,9,5]=>111010010=>466
[8,3,10,7,2,6,1,4,9,5]=>111010100=>468
[7,2,8,3,10,6,1,4,9,5]=>111011000=>472
[9,4,10,8,3,7,2,6,1,5]=>111100010=>482
[8,3,9,4,10,7,2,6,1,5]=>111100100=>484
[7,2,8,3,9,4,10,6,1,5]=>111101000=>488
[4,1,7,8,3,6,5,2]=>1110100=>116
[6,4,2,1,7,3,5,8]=>1111000=>120
[5,8,4,2,1,3,6,7]=>1101000=>104
[4,5,3,6,7,8,9,1,2]=>10100000=>160
[5,3,4,6,7,8,9,1,2]=>10100000=>160
[1,7,5,8,4,3,6,2]=>0111100=>60
[5,8,1,6,4,7,2,3]=>1101000=>104
[2,4,7,5,1,8,6,3]=>1010110=>86
[2,3,7,1,8,5,6,4]=>1001100=>76
[6,5,1,2,7,4,8,3]=>1011100=>92
[3,6,5,7,8,2,4,1]=>1100100=>100
[3,6,5,1,8,7,4,2]=>1101101=>109
[7,8,1,2,5,4,3,6]=>1011000=>88
[2,8,4,3,5,1,7,6]=>1011010=>90
[5,2,4,7,6,8,1,3]=>1100010=>98
[3,1,5,7,4,8,6,2]=>1101010=>106
[4,1,7,6,8,2,5,3]=>1110010=>114
[7,2,6,4,1,5,3,8]=>1111000=>120
[1,2,6,5,8,3,7,4]=>0011100=>28
[7,3,5,6,1,4,2,8]=>1110000=>112
[5,8,3,1,6,7,4,2]=>1111000=>120
[4,5,8,1,7,3,6,2]=>1110000=>112
[4,7,1,6,8,5,2,3]=>1100100=>100
[5,8,7,1,6,4,2,3]=>1101001=>105
[1,7,3,8,2,5,4,6]=>0111000=>56
[8,4,1,3,6,7,5,2]=>1101100=>108
[5,3,1,8,6,7,4,2]=>1111010=>122
[6,2,7,1,4,3,5,8]=>1110000=>112
[9,5,4,3,2,1,6,7,8]=>11111000=>248
[10,3,4,1,2,5,6,7,8,9]=>101000000=>320
[8,3,2,6,5,1,7,4]=>1111100=>124
[7,3,2,6,5,1,4,8]=>1110100=>116
[2,6,8,4,7,1,3,5]=>1001000=>72
[7,8,6,3,2,5,4,1]=>1111010=>122
[5,2,8,6,3,1,4,7]=>1110010=>114
[1,6,4,8,2,3,5,7]=>0101000=>40
[2,8,5,6,4,1,7,3]=>1011100=>92
[1,4,7,3,5,8,6,2]=>0110010=>50
[3,7,8,2,5,1,6,4]=>1101000=>104
[8,6,1,4,3,2,7,5]=>1110110=>118
[7,3,8,2,4,1,5,6]=>1110000=>112
[6,3,7,8,1,2,5,4]=>1011000=>88
[7,6,1,5,2,3,8,4]=>1101010=>106
[5,1,8,6,7,2,3,4]=>1100010=>98
[5,7,1,6,8,2,3,4]=>1100000=>96
[6,8,4,2,1,7,3,5]=>1111000=>120
[6,3,2,8,1,7,4,5]=>1111000=>120
[6,4,1,3,7,8,5,2]=>1101100=>108
[6,8,5,4,3,7,1,2]=>1011100=>92
[5,7,4,8,3,1,2,6]=>1011000=>88
[6,1,2,4,8,3,7,5]=>1010100=>84
[2,5,6,8,1,4,7,3]=>1010000=>80
[7,4,1,6,5,2,3,8]=>1101100=>108
[4,1,6,5,2,3,8,7]=>1100101=>101
[4,5,1,7,8,6,2,3]=>1100010=>98
[8,5,7,3,4,6,2,1]=>1110100=>116
[6,8,7,4,3,5,2,1]=>1111001=>121
[6,8,7,5,3,4,2,1]=>1110101=>117
[5,8,6,2,4,7,3,1]=>1110010=>114
[4,8,6,2,5,7,3,1]=>1110010=>114
[1,6,4,7,5,3,2,8]=>0111100=>60
[1,6,5,3,2,7,4,8]=>0111100=>60
[1,6,8,7,4,5,3,2]=>0111001=>57
[1,4,7,5,3,2,6,8]=>0110100=>52
[1,7,5,4,3,2,8,6]=>0111110=>62
[1,4,7,5,3,2,8,6]=>0110110=>54
[1,7,4,6,8,5,3,2]=>0111100=>60
[6,8,7,2,3,5,4,1]=>1101001=>105
[5,7,6,1,8,2,4,3]=>1110010=>114
[4,8,6,5,7,2,3,1]=>1100110=>102
[2,7,8,5,1,4,3,6]=>1010100=>84
[8,5,6,2,4,7,3,1]=>1110100=>116
[3,5,8,4,2,6,1,7]=>1101000=>104
[8,1,3,6,4,5,2,7]=>1101000=>104
[1,2,3,7,4,8,5,9,6]=>00011100=>28
[1,2,3,4,7,5,9,8,6]=>00001101=>13
[1,2,6,3,7,4,9,8,5]=>00111001=>57
[1,2,3,8,6,4,9,7,5]=>00011110=>30
[1,2,3,6,4,9,8,7,5]=>00011011=>27
[5,1,6,2,7,3,9,8,4]=>11110001=>241
[1,5,2,8,6,3,9,7,4]=>01110110=>118
[1,5,2,6,3,9,8,7,4]=>01110011=>115
[1,2,7,5,3,9,8,6,4]=>00111101=>61
[1,2,5,3,9,8,7,6,4]=>00110111=>55
[4,1,7,5,2,9,8,6,3]=>11101101=>237
[4,1,5,2,9,8,7,6,3]=>11100111=>231
[1,6,4,2,9,8,7,5,3]=>01111011=>123
[1,4,2,9,8,7,6,5,3]=>01101111=>111
[7,5,3,1,9,8,6,4,2]=>11111101=>253
[5,3,1,9,8,7,6,4,2]=>11110111=>247
[1,2,3,4,8,5,9,6,10,7]=>000011100=>28
[1,2,3,4,5,8,6,10,9,7]=>000001101=>13
[1,2,3,7,4,8,5,10,9,6]=>000111001=>57
[1,2,3,4,9,7,5,10,8,6]=>000011110=>30
[1,2,3,4,7,5,10,9,8,6]=>000011011=>27
[1,6,2,7,3,8,4,10,9,5]=>011110001=>241
[1,2,6,3,9,7,4,10,8,5]=>001110110=>118
[1,2,6,3,7,4,10,9,8,5]=>001110011=>115
[1,2,3,8,6,4,10,9,7,5]=>000111101=>61
[1,2,3,6,4,10,9,8,7,5]=>000110111=>55
[5,1,6,2,9,7,3,10,8,4]=>111100110=>486
[5,1,6,2,7,3,10,9,8,4]=>111100011=>483
[1,5,2,6,3,10,9,8,7,4]=>011100111=>231
[1,2,7,5,3,10,9,8,6,4]=>001111011=>123
[1,2,5,3,10,9,8,7,6,4]=>001101111=>111
[7,4,1,8,5,2,10,9,6,3]=>111111001=>505
[4,1,9,7,5,2,10,8,6,3]=>111011110=>478
[4,1,7,5,2,10,9,8,6,3]=>111011011=>475
[4,1,5,2,10,9,8,7,6,3]=>111001111=>463
[1,8,6,4,2,10,9,7,5,3]=>011111101=>253
[1,6,4,2,10,9,8,7,5,3]=>011110111=>247
[1,4,2,10,9,8,7,6,5,3]=>011011111=>223
[7,5,3,1,10,9,8,6,4,2]=>111111011=>507
[5,3,1,10,9,8,7,6,4,2]=>111101111=>495
[4,3,1,6,2,5,8,7]=>1110001=>113
[7,5,2,1,8,4,3,6]=>1111100=>124
[5,3,1,4,7,8,2,6]=>1110000=>112
[7,1,2,4,8,3,5,6]=>1010000=>80
[8,6,1,3,5,7,4,2]=>1101010=>106
[7,1,5,8,2,3,4,6]=>1100000=>96
[3,6,8,5,1,4,2,7]=>1100100=>100
[5,2,4,1,6,8,3,7]=>1110000=>112
[2,5,3,4,6,8,1,7]=>1010000=>80
[4,7,1,2,5,6,3,8]=>1010000=>80
[6,7,3,1,8,2,4,5]=>1110000=>112
[7,3,1,4,6,2,8,5]=>1110100=>116
[7,4,1,2,5,6,3,8]=>1011000=>88
[5,4,1,3,6,8,7,2]=>1101001=>105
[5,7,4,8,1,6,3,2]=>1111000=>120
[4,3,1,2,5,7,6,8]=>1010010=>82
[2,3,4,5,8,7,6,1,9]=>10000110=>134
[1,3,4,5,6,9,8,7,2]=>01000011=>67
[1,2,3,4,5,8,9,7,6]=>00000110=>6
[1,2,3,4,8,9,6,7,5]=>00001100=>12
[1,2,3,8,9,5,6,7,4]=>00011000=>24
[1,2,4,7,8,5,6,3]=>0010100=>20
[1,2,8,9,4,5,6,7,3]=>00110000=>48
[8,3,6,5,7,4,2,1]=>1111100=>124
[8,2,6,5,7,4,3,1]=>1111100=>124
[8,4,7,1,5,2,6,3]=>1111000=>120
[8,2,6,3,7,5,4,1]=>1111100=>124
[8,2,5,3,7,6,4,1]=>1111010=>122
[8,5,7,1,4,3,6,2]=>1110100=>116
[5,3,1,8,4,2,6,7]=>1111000=>120
[4,5,3,6,8,7,1,2]=>1010001=>81
[2,1,6,5,8,7,3,4]=>1010101=>85
[6,1,5,4,7,3,8,2]=>1111000=>120
[9,4,2,3,5,6,7,8,1]=>11010000=>208
[3,1,8,4,2,7,6,5]=>1101110=>110
[2,8,7,4,1,3,6,5]=>1001101=>77
[8,2,3,1,7,6,4,5]=>1101010=>106
[8,7,2,3,1,6,4,5]=>1101001=>105
[7,2,5,8,3,1,4,6]=>1110000=>112
[6,8,2,3,1,7,4,5]=>1101000=>104
[8,2,5,7,3,1,4,6]=>1110000=>112
[8,2,7,3,1,4,5,6]=>1110000=>112
[5,3,2,8,7,1,6,4]=>1111001=>121
[8,6,7,4,1,3,5,2]=>1101010=>106
[4,1,3,6,5,2,8,7]=>1100101=>101
[4,6,3,2,5,1,8,7]=>1110001=>113
[4,8,3,2,6,5,7,1]=>1110100=>116
[4,8,3,6,5,2,7,1]=>1110100=>116
[8,1,6,2,5,4,7,3]=>1111000=>120
[2,4,3,8,6,1,7,5]=>1010110=>86
[2,6,3,8,5,4,7,1]=>1011100=>92
[6,1,3,2,5,8,7,4]=>1101001=>105
[6,8,4,2,5,3,7,1]=>1111000=>120
[6,8,4,3,5,2,7,1]=>1111000=>120
[8,1,4,6,5,3,7,2]=>1110100=>116
[1,4,2,5,6,7,9,8,3]=>01100001=>97
[2,1,4,5,6,9,7,3,8]=>10100010=>162
[3,5,4,6,1,2,8,7]=>1001001=>73
[3,1,5,2,9,6,7,8,4]=>11010100=>212
[4,5,1,6,8,7,9,2,3]=>11000010=>194
[1,4,2,5,6,7,8,10,9,3]=>011000001=>193
[2,1,4,5,6,7,10,8,3,9]=>101000010=>322
[2,3,1,5,9,6,7,4,8]=>10010100=>148
[1,2,4,5,7,9,6,3,8]=>00100100=>36
[3,4,6,5,7,1,2,9,8]=>10001001=>137
[3,1,9,4,2,6,7,8,5]=>11011000=>216
[7,3,5,6,1,8,2,4]=>1110000=>112
[1,2,5,3,9,6,8,7,4]=>00110110=>54
[3,1,5,2,6,10,7,8,9,4]=>110100100=>420
[4,5,1,7,6,8,2,9,3]=>11100100=>228
[4,5,1,6,7,9,8,10,2,3]=>110000010=>386
[5,7,6,3,4,2,8,1]=>1110010=>114
[4,6,7,2,3,5,8,1]=>1100000=>96
[6,5,4,8,7,2,3,1]=>1101101=>109
[7,2,8,3,9,4,10,5,1,6]=>111110000=>496
[7,2,8,3,9,4,10,1,5,6]=>111100000=>480
[7,2,8,3,9,10,4,5,1,6]=>111100000=>480
[7,2,8,3,9,10,4,1,5,6]=>111100000=>480
[7,2,8,3,9,10,1,4,5,6]=>111000000=>448
[7,2,8,9,3,4,10,5,1,6]=>111010000=>464
[7,2,8,9,3,4,10,1,5,6]=>111000000=>448
[7,2,8,9,3,10,4,5,1,6]=>111100000=>480
[7,2,8,9,3,10,4,1,5,6]=>111100000=>480
[7,2,8,9,3,10,1,4,5,6]=>111000000=>448
[7,2,8,9,10,3,4,5,1,6]=>111000000=>448
[7,2,8,9,10,3,4,1,5,6]=>111000000=>448
[7,2,8,9,10,3,1,4,5,6]=>111000000=>448
[7,8,2,3,9,4,10,5,1,6]=>110110000=>432
[7,8,2,3,9,4,10,1,5,6]=>110100000=>416
[7,8,2,3,9,10,4,5,1,6]=>110100000=>416
[7,8,2,3,9,10,4,1,5,6]=>110100000=>416
[7,8,2,3,9,10,1,4,5,6]=>110000000=>384
[7,8,2,9,3,4,10,5,1,6]=>111010000=>464
[7,8,2,9,3,4,10,1,5,6]=>111000000=>448
[7,8,2,9,3,10,4,5,1,6]=>111100000=>480
[7,8,2,9,3,10,4,1,5,6]=>111100000=>480
[7,8,2,9,3,10,1,4,5,6]=>111000000=>448
[7,8,2,9,10,3,4,5,1,6]=>111000000=>448
[7,8,2,9,10,3,4,1,5,6]=>111000000=>448
[7,8,2,9,10,3,1,4,5,6]=>111000000=>448
[7,8,2,9,10,1,3,4,5,6]=>110000000=>384
[7,8,9,2,3,4,10,5,1,6]=>110010000=>400
[7,8,9,2,3,4,10,1,5,6]=>110000000=>384
[7,8,9,2,3,10,4,5,1,6]=>110100000=>416
[7,8,9,2,3,10,4,1,5,6]=>110100000=>416
[7,8,9,2,3,10,1,4,5,6]=>110000000=>384
[7,8,9,2,10,3,4,5,1,6]=>111000000=>448
[7,8,9,2,10,3,4,1,5,6]=>111000000=>448
[7,8,9,2,10,3,1,4,5,6]=>111000000=>448
[7,8,9,2,10,1,3,4,5,6]=>110000000=>384
[7,8,9,10,2,3,4,1,5,6]=>110000000=>384
[7,8,9,10,2,3,1,4,5,6]=>110000000=>384
[7,8,9,10,2,1,3,4,5,6]=>110000000=>384
[4,8,7,6,5,3,2,1,9]=>11101110=>238
[5,9,8,7,6,4,3,2,1,10]=>111101110=>494
[5,8,7,4,6,3,2,1,9]=>11110010=>242
[8,4,7,6,5,3,2,1,9]=>11111100=>252
[5,7,4,3,6,2,1,8]=>1111000=>120
[6,9,8,5,7,4,1,3,2]=>11011001=>217
[9,8,7,5,1,6,4,3,2]=>11111011=>251
[10,9,8,6,1,7,5,4,3,2]=>111111011=>507
[1,2,8,3,4,5,6,9,7]=>00100010=>34
[1,9,5,2,3,8,4,6,7]=>01011000=>88
[1,2,9,3,4,5,6,7,10,8]=>001000010=>66
[1,8,2,9,4,3,5,6,7]=>01110000=>112
[1,3,2,4,9,8,5,6,7]=>01001001=>73
[2,1,3,4,5,9,8,6,7]=>10000101=>133
[1,2,3,4,5,9,6,7,10,8]=>000001010=>10
[9,1,7,2,3,4,5,8,6]=>11000100=>196
[1,10,6,2,3,4,9,5,7,8]=>010011000=>152
[1,8,5,2,3,4,6,9,7]=>01001010=>74
[9,8,1,2,3,5,6,4,7]=>10010001=>145
[1,5,2,9,3,10,4,6,7,8]=>011100000=>224
[1,4,2,3,9,5,6,8,7]=>01001010=>74
[1,8,5,6,2,3,7,4]=>0101100=>44
[4,9,8,1,2,5,3,6,7]=>10100001=>161
[1,2,4,3,10,9,5,6,7,8]=>001010001=>81
[1,3,2,4,5,9,6,8,7]=>01000110=>70
[1,8,3,9,4,2,5,6,7]=>01110000=>112
[1,3,2,4,5,10,9,6,7,8]=>010001001=>137
[2,3,1,4,9,8,5,6,7]=>10001001=>137
[2,1,3,4,5,9,6,10,7,8]=>100001100=>268
[7,2,4,6,8,1,5,3]=>1110000=>112
[6,2,5,4,7,8,1,3]=>1101000=>104
[3,8,2,6,1,7,4,5]=>1101000=>104
[8,5,6,1,3,2,7,4]=>1101100=>108
[5,3,7,8,2,6,1,4]=>1110000=>112
[4,5,8,3,6,1,7,2]=>1110000=>112
[4,5,8,7,2,3,1,6]=>1100001=>97
[8,2,6,4,3,7,5,1]=>1111100=>124
[6,3,1,8,7,4,5,2]=>1111001=>121
[8,6,3,2,7,4,5,1]=>1111010=>122
[1,3,6,8,7,4,5,2]=>0101001=>41
[5,7,1,3,6,2,4,8]=>1100000=>96
[4,7,5,2,3,6,8,1]=>1100100=>100
[3,6,4,1,2,5,7,8]=>1001000=>72
[4,7,1,3,2,5,8,6]=>1100010=>98
[4,7,1,3,2,6,8,5]=>1100100=>100
[5,7,1,3,6,2,8,4]=>1101000=>104
[6,8,2,5,7,3,1,4]=>1110000=>112
[4,8,5,2,3,6,1,7]=>1100100=>100
[5,8,6,3,4,7,2,1]=>1110010=>114
[3,7,5,4,2,8,1,6]=>1101100=>108
[4,6,5,1,7,8,2,3]=>1100100=>100
[4,7,1,3,2,8,5,6]=>1100100=>100
[3,6,5,1,8,2,4,7]=>1100100=>100
[5,8,7,3,4,2,6,1]=>1110001=>113
[8,7,6,5,4,1,9,3,2]=>11111110=>254
[8,7,6,5,2,9,1,3,4]=>11001110=>206
[8,7,6,3,9,2,1,4,5]=>11100110=>230
[8,7,4,9,3,2,1,6,5]=>11111010=>250
[8,5,9,4,3,2,1,6,7]=>11111000=>248
[6,9,5,4,3,2,1,7,8]=>11111000=>248
[9,8,7,6,5,4,1,10,3,2]=>111111110=>510
[8,7,6,5,2,1,4,3,9]=>11101110=>238
[9,8,7,6,5,2,10,1,3,4]=>110011110=>414
[8,7,6,3,2,5,1,4,9]=>11100110=>230
[8,7,6,5,1,9,4,3,2]=>11111110=>254
[9,8,7,6,3,10,2,1,4,5]=>111001110=>462
[8,7,4,3,6,2,1,9,5]=>11111010=>250
[8,7,6,2,9,5,1,3,4]=>11001110=>206
[9,8,7,4,10,3,2,1,6,5]=>111110110=>502
[8,5,4,7,3,2,1,6,9]=>11111000=>248
[8,7,3,9,6,2,1,4,5]=>11100110=>230
[9,8,5,10,4,3,2,1,6,7]=>111110010=>498
[6,5,8,4,3,2,1,7,9]=>11111000=>248
[8,4,9,7,3,2,1,6,5]=>11111010=>250
[9,6,10,5,4,3,2,1,7,8]=>111111000=>504
[5,9,8,4,3,2,1,6,7]=>11110001=>241
[7,10,6,5,4,3,2,1,9,8]=>111111010=>506
[8,5,2,3,7,4,6,1]=>1101100=>108
[6,3,1,5,4,8,2,7]=>1111000=>120
[4,7,6,3,5,2,8,1]=>1110010=>114
[1,7,5,3,4,8,6,2]=>0110110=>54
[5,8,2,3,4,7,6,1]=>1100010=>98
[8,7,3,2,6,4,5,1]=>1111001=>121
[8,3,1,4,7,5,2,6]=>1110100=>116
[5,3,1,6,4,8,7,2]=>1111001=>121
[3,4,8,5,7,2,6,1]=>1100100=>100
[8,5,1,2,7,6,4,3]=>1011110=>94
[10,7,8,1,2,3,4,5,6,9]=>100000100=>260
[6,7,10,1,2,3,4,5,8,9]=>100000000=>256
[8,2,6,3,1,5,4,7]=>1111000=>120
[3,7,8,5,6,2,4,1]=>1100100=>100
[1,10,2,3,4,7,5,6,8,9]=>010010000=>144
[7,4,3,6,2,5,8,1]=>1111000=>120
[4,3,8,7,1,6,2,5]=>1110001=>113
[1,5,3,8,4,7,2,6]=>0111000=>56
[8,2,3,1,6,5,7,4]=>1101100=>108
[8,4,2,7,1,3,6,5]=>1101100=>108
[8,4,2,3,1,6,7,5]=>1101100=>108
[4,7,2,3,6,5,8,1]=>1100100=>100
[3,8,2,6,4,7,1,5]=>1101000=>104
[1,7,5,8,6,2,4,3]=>0110110=>54
[6,5,1,7,4,8,3,2]=>1111100=>124
[10,9,8,6,7,5,4,3,2,1]=>111111011=>507
[7,6,3,5,1,4,8,2]=>1110010=>114
[6,5,4,1,7,2,3,8]=>1101100=>108
[8,3,6,1,7,4,5,2]=>1111000=>120
[7,1,2,6,4,8,3,5]=>1011000=>88
[3,5,1,8,6,2,4,7]=>1100010=>98
[8,7,5,6,4,3,2,1,9]=>11111010=>250
[8,6,5,7,4,3,2,1,9]=>11111100=>252
[9,8,7,6,4,3,2,5,1]=>11110111=>247
[9,8,7,6,4,3,5,2,1]=>11110111=>247
[8,5,6,7,4,3,2,1,9]=>11111000=>248
[10,9,7,6,8,5,4,3,2,1]=>111111101=>509
[6,7,5,8,4,3,2,1,9]=>11111000=>248
[10,8,7,6,9,5,4,3,2,1]=>111111110=>510
[8,9,7,6,4,3,2,1,5]=>11110110=>246
[7,6,5,3,2,1,4,8,9]=>11101100=>236
[9,8,7,6,4,3,5,1,2]=>10110111=>183
[9,8,7,6,4,3,2,5,1,10]=>111101110=>494
[9,8,7,6,4,5,2,3,1]=>11010111=>215
[9,8,7,6,4,3,5,2,1,10]=>111101110=>494
[9,8,7,6,5,3,4,2,1]=>11101111=>239
[1,8,7,5,4,6,2,3]=>0101101=>45
[8,1,6,7,4,5,3,2]=>1111000=>120
[8,1,6,4,7,5,3,2]=>1111100=>124
[6,4,8,1,5,3,7,2]=>1111000=>120
[1,6,4,3,5,8,2,7]=>0111000=>56
[5,1,4,3,7,8,6,2]=>1110010=>114
[5,7,1,8,6,3,2,4]=>1110010=>114
[5,7,6,3,4,2,1,8]=>1110010=>114
[4,1,3,7,6,5,2,8]=>1100110=>102
[8,7,6,5,4,2,3,1,9]=>11011110=>222
[4,3,6,1,2,7,8,5]=>1010100=>84
[1,10,9,8,6,5,7,4,3,2]=>011111011=>251
[2,9,8,6,5,7,4,3,1]=>10111101=>189
[3,1,4,5,6,7,9,2,10,8]=>110000010=>386
[5,8,3,6,7,2,4,1]=>1110000=>112
[8,1,6,2,5,7,4,3]=>1111000=>120
[2,7,1,5,3,6,8,4]=>1011000=>88
[6,8,7,3,4,2,5,1]=>1110001=>113
[1,8,6,2,4,7,5,3]=>0110110=>54
[5,7,3,6,4,2,1,8]=>1111000=>120
[5,7,3,6,4,1,8,2]=>1111000=>120
[3,7,5,6,4,1,8,2]=>1101100=>108
[7,1,8,2,3,4,5,9,6]=>11000100=>196
[6,8,1,2,3,4,5,9,7]=>10000010=>130
[9,6,7,4,5,2,3,1,8]=>11010100=>212
[8,9,6,7,4,5,2,1,3]=>11010100=>212
[10,8,9,6,7,4,5,2,1,3]=>110101010=>426
[9,8,6,5,4,3,7,2,1]=>11111101=>253
[2,8,5,7,3,4,6,1]=>1010100=>84
[2,3,6,4,5,1,7,8,9]=>10010000=>144
[2,3,4,8,5,6,7,1,9]=>10001000=>136
[3,5,4,7,2,6,1,8,9]=>11010000=>208
[2,6,4,1,5,3,7,8,9]=>10110000=>176
[4,5,2,6,3,1,7,8,9]=>11100000=>224
[3,6,4,5,9,2,7,8,1]=>11010000=>208
[2,5,4,7,8,6,3,1,9]=>10110100=>180
[4,6,2,5,8,3,7,1,9]=>11100000=>224
[3,5,7,6,1,4,2,8,9]=>11000100=>196
[5,6,2,3,7,4,1,8,9]=>11010000=>208
[5,7,2,3,6,9,4,8,1]=>11010000=>208
[2,8,4,1,6,3,7,5,9]=>10111000=>184
[4,6,7,8,3,1,5,2,9]=>11100000=>224
[6,7,2,3,4,8,5,1,9]=>11001000=>200
[3,5,9,7,1,8,2,6,4]=>11010010=>210
[5,7,8,3,9,4,1,6,2]=>11110000=>240
[7,8,2,3,4,5,9,6,1]=>11000100=>196
[2,4,3,1,5,6,7,8,9,10]=>101000000=>320
[2,3,6,4,5,1,7,8,9,10]=>100100000=>288
[3,4,5,2,1,6,7,8,9,10]=>110000000=>384
[2,3,4,8,5,6,7,1,9,10]=>100010000=>272
[3,5,4,7,2,6,1,8,9,10]=>110100000=>416
[2,6,4,1,5,3,7,8,9,10]=>101100000=>352
[4,5,2,6,3,1,7,8,9,10]=>111000000=>448
[3,6,4,5,9,2,7,8,1,10]=>110100000=>416
[2,5,4,7,8,6,3,1,9,10]=>101101000=>360
[4,6,2,5,8,3,7,1,9,10]=>111000000=>448
[3,5,7,6,1,4,2,8,9,10]=>110001000=>392
[5,6,2,3,7,4,1,8,9,10]=>110100000=>416
[2,5,4,8,6,10,7,3,9,1]=>101101100=>364
[4,7,2,5,6,10,3,8,9,1]=>111000000=>448
[2,3,9,5,6,1,7,8,4,10]=>100110000=>304
[5,7,2,3,6,9,4,8,1,10]=>110100000=>416
[2,8,4,1,6,3,7,5,9,10]=>101110000=>368
[4,6,7,8,3,1,5,2,9,10]=>111000000=>448
[6,7,2,3,4,8,5,1,9,10]=>110010000=>400
[3,6,4,10,8,7,1,5,9,2]=>110100110=>422
[2,7,4,9,6,3,10,8,5,1]=>101111010=>378
[4,6,8,7,3,9,10,5,2,1]=>111010100=>468
[6,8,2,3,4,7,10,5,9,1]=>110010000=>400
[3,5,9,7,1,8,2,6,4,10]=>110100100=>420
[5,7,8,3,9,4,1,6,2,10]=>111100000=>480
[7,8,2,3,4,5,9,6,1,10]=>110001000=>392
[4,6,8,10,9,1,5,2,7,3]=>111000001=>449
[6,8,9,3,4,10,5,1,7,2]=>111010000=>464
[8,9,2,3,4,5,6,10,7,1]=>110000100=>388
[2,1,3,8,5,4,6,7]=>1001100=>76
[5,3,6,8,2,4,1,7]=>1110000=>112
[1,7,8,6,3,2,4,5]=>0110010=>50
[7,1,2,5,3,8,4,6]=>1011000=>88
[3,7,4,2,5,1,8,6]=>1101010=>106
[1,8,3,4,5,7,2,6]=>0110000=>48
[2,6,7,5,3,8,1,4]=>1010100=>84
[4,5,2,6,8,7,1,3]=>1100001=>97
[4,5,2,6,8,3,1,7]=>1110000=>112
[4,5,7,6,2,1,3,8]=>1100010=>98
[7,8,2,6,5,4,3,1]=>1111100=>124
[5,3,7,8,4,2,1,6]=>1111000=>120
[7,3,6,8,1,5,4,2]=>1111000=>120
[9,7,8,5,6,2,4,1,3]=>11001010=>202
[9,7,8,4,6,2,5,1,3]=>11010010=>210
[9,6,8,4,7,2,5,1,3]=>11010100=>212
[8,9,6,4,7,2,5,1,3]=>11010100=>212
[8,9,6,7,4,2,5,1,3]=>11010100=>212
[9,7,8,3,6,2,5,1,4]=>11100010=>226
[9,5,8,4,7,2,6,1,3]=>11011000=>216
[7,6,9,4,8,2,5,1,3]=>11010100=>212
[8,6,9,7,4,2,5,1,3]=>11010110=>214
[10,8,9,6,4,7,2,5,1,3]=>110101010=>426
[8,9,6,4,7,5,2,1,3]=>11011100=>220
[10,8,9,6,7,4,2,5,1,3]=>110101010=>426
[8,9,6,7,4,2,5,3,1]=>11110100=>244
[7,5,8,2,4,3,6,1]=>1110100=>116
[6,5,8,2,3,4,1,7]=>1100100=>100
[8,1,5,3,4,6,2,7]=>1110000=>112
[5,8,7,2,4,3,6,1]=>1110001=>113
[1,7,2,4,8,5,6,3]=>0110100=>52
[5,8,2,3,7,4,6,1]=>1101000=>104
[7,8,2,3,5,4,6,1]=>1101000=>104
[8,4,1,3,2,6,5,7]=>1101100=>108
[8,7,2,3,5,4,6,1]=>1101001=>105
[1,7,6,8,4,5,3,2]=>0111010=>58
[2,7,3,1,8,5,6,4]=>1011100=>92
[3,8,5,2,1,6,7,4]=>1101100=>108
[10,1,2,9,6,3,4,5,7,8]=>101001000=>328
[4,1,2,10,3,5,9,6,7,8]=>101001000=>328
[2,8,6,1,5,7,4,3]=>1011010=>90
[8,3,5,1,7,6,4,2]=>1111010=>122
[8,3,5,4,7,1,6,2]=>1111000=>120
[6,4,1,5,7,8,2,3]=>1101000=>104
[4,8,7,1,2,5,3,6]=>1010001=>81
[8,7,2,6,1,4,3,5]=>1110001=>113
[6,1,7,3,8,2,4,5]=>1110000=>112
[7,1,8,6,4,2,3,5]=>1101010=>106
[4,1,3,5,8,2,6,7]=>1100000=>96
[1,8,5,7,4,6,3,2]=>0111100=>60
[1,4,7,6,8,3,5,2]=>0110010=>50
[1,7,2,8,6,5,3,4]=>0110110=>54
[5,7,1,6,4,2,3,8]=>1101000=>104
[4,8,2,7,5,1,6,3]=>1110100=>116
[2,8,4,6,7,1,5,3]=>1011000=>88
[3,8,5,1,4,2,6,7]=>1100100=>100
[1,7,6,2,5,3,8,4]=>0111010=>58
[1,7,5,2,4,3,8,6]=>0110110=>54
[2,8,5,1,4,3,6,7]=>1010100=>84
[9,7,6,5,4,3,2,8,1]=>11111110=>254
[3,1,4,6,2,5,8,7,9]=>11000010=>194
[1,3,2,5,7,4,6,9,8]=>01010001=>81
[7,6,3,5,4,8,2,1]=>1111010=>122
[1,9,8,5,6,7,4,3,2]=>01111001=>121
[1,10,9,8,5,6,7,4,3,2]=>011110011=>243
[1,9,8,5,4,6,7,3,2]=>01111001=>121
[1,10,9,5,6,7,8,4,3,2]=>011110001=>241
[1,9,5,4,6,7,8,3,2]=>01111000=>120
[1,10,4,5,6,7,8,9,3,2]=>011100000=>224
[3,1,2,5,7,6,8,4]=>1001010=>74
[5,1,7,3,2,6,8,4]=>1111000=>120
[4,7,2,3,5,1,6,8]=>1100000=>96
[4,8,2,3,7,5,1,6]=>1100100=>100
[8,7,2,4,3,5,6,1]=>1110001=>113
[8,6,2,4,3,5,1,7]=>1110010=>114
[8,1,2,4,7,3,5,6]=>1010000=>80
[7,6,2,8,4,5,1,3]=>1101010=>106
[6,8,1,5,7,3,2,4]=>1110000=>112
[4,1,7,5,6,8,2,3]=>1100100=>100
[3,7,6,2,1,4,5,8]=>1100010=>98
[1,6,8,7,2,5,4,3]=>0111001=>57
[1,4,8,7,6,3,5,2]=>0110011=>51
[1,2,3,4,7,5,6,9,8]=>00001001=>9
[3,1,8,4,5,2,7,6]=>1101010=>106
[2,3,7,6,1,8,4,5]=>1001010=>74
[4,8,5,2,1,3,7,6]=>1100110=>102
[5,8,4,2,1,3,7,6]=>1101010=>106
[9,8,7,6,5,3,1,4,2]=>11101111=>239
[9,8,7,6,4,1,5,3,2]=>11110111=>247
[9,8,6,1,7,5,4,3,2]=>11111101=>253
[9,7,1,8,6,5,4,3,2]=>11111110=>254
[4,6,7,5,2,3,1,8]=>1100100=>100
[6,2,5,3,1,8,7,4]=>1111001=>121
[6,2,5,3,8,7,1,4]=>1110001=>113
[6,4,5,3,8,7,1,2]=>1011001=>89
[1,6,4,5,8,7,3,2]=>0111001=>57
[8,4,7,5,2,3,1,6]=>1101100=>108
[8,2,7,4,5,3,1,6]=>1111000=>120
[8,2,4,7,5,3,1,6]=>1110100=>116
[8,2,6,7,5,3,1,4]=>1110100=>116
[8,4,6,7,5,3,1,2]=>1011100=>92
[6,4,5,8,7,3,1,2]=>1011001=>89
[6,2,8,7,5,3,1,4]=>1110101=>117
[4,6,5,3,8,7,1,2]=>1010101=>85
[6,7,2,4,5,3,1,8]=>1110000=>112
[6,8,7,4,5,3,1,2]=>1011001=>89
[2,8,4,7,5,3,1,6]=>1011100=>92
[5,8,7,4,6,3,1,2]=>1011001=>89
[6,5,8,4,7,2,1,3]=>1101100=>108
[4,8,6,2,5,7,1,3]=>1100010=>98
[8,1,6,2,5,7,3,4]=>1110000=>112
[6,8,1,2,4,7,3,5]=>1010000=>80
[8,1,5,3,2,7,4,6]=>1111000=>120
[8,3,7,6,2,5,4,1]=>1111010=>122
[1,2,7,4,5,6,8,9,3]=>00110000=>48
[5,3,1,2,6,7,8,9,10,4]=>101100000=>352
[7,3,4,5,1,2,8,9,10,6]=>101001000=>328
[8,3,4,5,6,1,2,9,10,7]=>101000100=>324
[1,2,3,4,7,8,5,6,9]=>00001000=>8
[1,2,3,4,6,5,8,7,9]=>00001010=>10
[1,2,3,4,8,9,5,6,7]=>00001000=>8
[4,6,1,3,5,8,2,7]=>1100000=>96
[4,5,1,3,8,7,2,6]=>1100001=>97
[6,2,7,1,8,3,4,5]=>1110000=>112
[6,4,5,8,1,7,2,3]=>1101000=>104
[6,2,8,5,1,4,7,3]=>1110100=>116
[2,4,7,6,1,8,3,5]=>1010010=>82
[2,1,7,8,9,3,4,5,6]=>10100000=>160
[2,6,7,8,9,10,1,3,4,5]=>100000000=>256
[9,7,5,3,8,6,4,2,1]=>11111110=>254
[10,8,9,7,6,5,4,3,2,1]=>111111110=>510
[7,4,5,8,6,3,2,1]=>1111010=>122
[8,6,9,7,4,3,2,1,5]=>11110110=>246
[8,6,3,2,1,4,9,7,5]=>11101110=>238
[8,6,4,9,7,5,2,1,3]=>11011110=>222
[10,8,6,4,9,7,5,3,2,1]=>111111110=>510
[9,7,5,3,8,6,4,1,2]=>10111110=>190
[10,8,6,4,2,1,9,7,5,3]=>111111110=>510
[9,6,7,8,5,4,3,2,1]=>11111100=>252
[10,8,9,6,5,4,3,2,1,7]=>111111010=>506
[8,5,6,9,7,4,3,2,1]=>11111010=>250
[9,7,10,8,5,4,3,2,1,6]=>111110110=>502
[8,6,3,2,1,9,7,4,5]=>11110110=>246
[9,7,8,4,3,2,1,5,6]=>11110010=>242
[9,7,4,3,2,1,5,10,8,6]=>111101110=>494
[8,6,3,4,9,7,5,2,1]=>11101110=>238
[8,6,9,7,3,2,1,4,5]=>11100110=>230
[9,7,5,10,8,6,3,2,1,4]=>111011110=>478
[9,7,5,2,3,8,6,4,1]=>11011110=>222
[8,6,2,1,3,4,9,7,5]=>11001110=>206
[10,8,6,4,9,7,5,2,1,3]=>110111110=>446
[8,6,4,9,7,5,1,2,3]=>10011110=>158
[10,8,6,4,1,2,9,7,5,3]=>101111110=>382
[2,5,1,6,3,7,4,8,9]=>10110000=>176
[2,6,1,7,3,8,4,9,5]=>10111000=>184
[3,4,6,1,7,2,8,5,9]=>11001000=>200
[3,2,6,1,7,4,8,5,9]=>11011000=>216
[4,2,5,6,1,7,3,8,9]=>11100000=>224
[3,4,2,6,1,7,5,8,9]=>11001000=>200
[4,2,5,7,1,8,3,9,6]=>11100100=>228
[3,4,2,7,1,8,5,9,6]=>11001100=>204
[5,3,6,4,7,1,8,2,9]=>11110000=>240
[3,5,2,6,7,1,8,4,9]=>11010000=>208
[4,3,5,2,7,1,8,6,9]=>11100100=>228
[4,6,2,7,5,8,1,9,3]=>11101000=>232
[4,3,6,2,7,8,1,9,5]=>11101000=>232
[4,5,3,6,2,8,1,9,7]=>11100010=>226
[2,5,1,6,3,7,4,8,9,10]=>101100000=>352
[3,4,5,1,6,2,7,8,9,10]=>110000000=>384
[2,6,1,7,3,8,4,9,5,10]=>101110000=>368
[3,4,6,1,7,2,8,5,9,10]=>110010000=>400
[3,2,6,1,7,4,8,5,9,10]=>110110000=>432
[4,2,5,6,1,7,3,8,9,10]=>111000000=>448
[3,4,2,6,1,7,5,8,9,10]=>110010000=>400
[3,2,7,1,8,4,9,5,10,6]=>110111000=>440
[4,5,6,7,1,8,2,9,3,10]=>111000000=>448
[3,4,2,7,1,8,5,9,6,10]=>110011000=>408
[5,3,6,4,7,1,8,2,9,10]=>111100000=>480
[3,5,2,6,7,1,8,4,9,10]=>110100000=>416
[4,3,5,2,7,1,8,6,9,10]=>111001000=>456
[5,2,6,7,8,1,9,3,10,4]=>111100000=>480
[5,3,6,4,8,1,9,2,10,7]=>111100100=>484
[3,5,2,6,8,1,9,4,10,7]=>110100100=>420
[4,3,5,2,8,1,9,6,10,7]=>111001100=>460
[4,6,2,7,5,8,1,9,3,10]=>111010000=>464
[4,3,6,2,7,8,1,9,5,10]=>111010000=>464
[4,5,3,6,2,8,1,9,7,10]=>111000100=>452
[5,3,7,2,8,6,9,1,10,4]=>111101000=>488
[4,5,3,7,2,8,9,1,10,6]=>111001000=>456
[5,4,6,3,7,2,9,1,10,8]=>111100010=>482
[7,6,5,9,4,3,2,1,8]=>11111100=>252
[7,6,5,4,3,9,2,1,8]=>11111100=>252
[7,9,8,5,4,3,2,1,6]=>11111001=>249
[8,7,10,6,5,4,3,2,1,9]=>111111100=>508
[7,6,9,8,4,3,2,1,5]=>11110101=>245
[8,7,6,10,5,4,3,2,1,9]=>111111100=>508
[7,6,5,9,8,3,2,1,4]=>11101101=>237
[7,6,5,4,9,8,2,1,3]=>11011101=>221
[8,7,6,5,4,10,3,2,1,9]=>111111100=>508
[7,6,5,4,3,9,8,1,2]=>10111101=>189
[8,7,6,5,4,3,10,2,1,9]=>111111100=>508
[1,6,2,3,8,5,7,4]=>0101100=>44
[3,4,2,6,8,5,7,1]=>1100100=>100
[9,8,7,6,5,2,3,4,1]=>11001111=>207
[6,1,7,8,9,2,3,4,5]=>11000000=>192
[4,5,6,7,1,9,2,3,8]=>11000000=>192
[3,5,6,7,9,1,2,4,8]=>10000000=>128
[5,1,6,7,8,2,9,3,4]=>11100000=>224
[4,1,6,7,8,9,2,3,5]=>11000000=>192
[5,1,6,7,8,9,10,2,3,4]=>110000000=>384
[7,4,1,3,6,8,2,5]=>1101000=>104
[6,8,1,2,7,3,4,5]=>1010000=>80
[1,6,2,8,7,3,4,5]=>0110001=>49
[1,6,8,5,7,4,3,2]=>0111100=>60
[3,8,1,2,4,7,6,5]=>1000110=>70
[1,4,5,7,3,6,8,2]=>0110000=>48
[2,3,8,1,4,6,5,7]=>1000100=>68
[3,6,2,4,7,5,8,1]=>1100100=>100
[3,1,8,4,6,2,5,7]=>1101000=>104
[4,2,7,3,5,8,1,6]=>1110000=>112
[3,1,8,4,5,6,2,7]=>1101000=>104
[4,2,7,8,6,3,1,5]=>1110010=>114
[7,1,4,2,8,6,3,5]=>1110010=>114
[2,3,7,4,8,1,6,5]=>1001100=>76
[1,6,3,5,8,7,4,2]=>0111001=>57
[8,4,6,3,5,1,7,2]=>1111000=>120
[7,3,2,6,8,4,5,1]=>1111000=>120
[2,4,5,7,1,6,8,3]=>1010000=>80
[8,4,2,6,7,3,5,1]=>1111000=>120
[4,1,5,7,8,6,2,3]=>1100010=>98
[6,1,4,8,2,3,7,5]=>1100100=>100
[7,6,2,3,5,8,4,1]=>1101010=>106
[2,8,5,7,6,3,4,1]=>1010110=>86
[2,5,7,8,6,4,1,3]=>1001010=>74
[7,4,1,6,2,5,8,3]=>1111000=>120
[8,7,4,6,2,5,3,1]=>1111001=>121
[1,7,5,4,6,2,3,8]=>0101100=>44
[6,2,7,5,3,1,4,8]=>1110100=>116
[6,1,7,4,8,5,2,3]=>1101100=>108
[8,2,4,6,3,1,7,5]=>1110100=>116
[2,3,1,5,6,8,9,4,7]=>10010000=>144
[5,6,2,4,8,7,3,1]=>1110001=>113
[8,5,6,2,3,7,4,1]=>1101100=>108
[7,8,1,4,5,6,2,3]=>1100000=>96
[5,6,7,8,9,1,3,4,2]=>11000000=>192
[6,7,8,9,1,3,4,5,2]=>11000000=>192
[6,7,8,9,1,4,5,2,3]=>11000000=>192
[6,7,8,9,1,4,5,3,2]=>11100000=>224
[6,7,8,9,1,5,4,3,2]=>11110000=>240
[7,8,9,1,4,5,6,2,3]=>11000000=>192
[7,8,9,1,4,5,6,3,2]=>11100000=>224
[7,8,9,1,5,6,3,4,2]=>11100000=>224
[7,8,9,1,5,6,4,3,2]=>11110000=>240
[7,8,9,1,6,5,4,3,2]=>11111000=>248
[8,9,1,5,6,7,3,4,2]=>11100000=>224
[8,9,1,5,6,7,4,3,2]=>11110000=>240
[8,9,1,6,7,4,5,2,3]=>11010000=>208
[8,9,1,6,7,4,5,3,2]=>11110000=>240
[8,9,1,6,7,5,4,3,2]=>11111000=>248
[9,1,7,8,5,6,3,4,2]=>11101000=>232
[9,1,7,8,5,6,4,3,2]=>11111000=>248
[5,6,7,8,9,10,1,3,4,2]=>110000000=>384
[5,6,7,8,9,10,1,4,3,2]=>111000000=>448
[7,8,9,10,1,4,5,6,2,3]=>110000000=>384
[7,8,9,10,1,4,5,6,3,2]=>111000000=>448
[7,8,9,10,1,5,6,4,3,2]=>111100000=>480
[7,8,9,10,1,6,5,4,3,2]=>111110000=>496
[8,9,10,1,4,5,6,7,2,3]=>110000000=>384
[8,9,10,1,4,5,6,7,3,2]=>111000000=>448
[8,9,10,1,5,6,7,2,3,4]=>110000000=>384
[8,9,10,1,5,6,7,4,3,2]=>111100000=>480
[8,9,10,1,6,7,4,5,2,3]=>110100000=>416
[8,9,10,1,6,7,4,5,3,2]=>111100000=>480
[8,9,10,1,6,7,5,4,3,2]=>111110000=>496
[8,9,10,1,7,6,5,4,3,2]=>111111000=>504
[9,10,1,6,7,8,3,4,5,2]=>111000000=>448
[9,10,1,6,7,8,4,5,2,3]=>110100000=>416
[9,10,1,6,7,8,4,5,3,2]=>111100000=>480
[9,10,1,6,7,8,5,4,3,2]=>111110000=>496
[9,10,1,7,8,5,6,3,4,2]=>111010000=>464
[9,10,1,7,8,5,6,4,3,2]=>111110000=>496
[9,10,1,7,8,6,5,4,3,2]=>111111000=>504
[10,1,8,9,6,7,4,5,3,2]=>111101000=>488
[10,1,8,9,6,7,5,4,3,2]=>111111000=>504
[10,1,8,9,7,6,5,4,3,2]=>111111100=>508
[8,3,1,2,5,4,7,6]=>1011010=>90
[8,1,5,3,7,4,2,6]=>1111000=>120
[1,2,6,7,8,3,5,4]=>0011000=>24
[1,2,4,8,6,7,3,5]=>0010010=>18
[8,1,2,6,5,7,3,4]=>1010100=>84
[7,1,2,6,5,8,3,4]=>1010100=>84
[7,4,8,3,5,6,2,1]=>1111000=>120
[2,6,1,4,7,5,8,3]=>1010100=>84
[3,1,5,7,2,6,8,4]=>1101000=>104
[3,1,7,5,2,6,8,4]=>1101100=>108
[3,2,7,5,1,6,8,4]=>1101100=>108
[5,2,7,3,1,6,8,4]=>1111000=>120
[6,7,2,1,3,4,8,5]=>1100100=>100
[4,6,3,1,2,7,8,5]=>1010100=>84
[2,3,4,5,7,9,6,8,1]=>10000100=>132
[2,3,4,6,9,5,7,8,1]=>10001000=>136
[2,3,5,6,8,4,7,1]=>1001000=>72
[2,3,5,9,4,6,7,8,1]=>10010000=>144
[2,4,5,8,3,6,7,1]=>1010000=>80
[2,4,9,3,5,6,7,8,1]=>10100000=>160
[5,9,8,7,6,4,3,1,2]=>10110111=>183
[5,4,8,7,6,3,2,1,9]=>11110110=>246
[4,5,8,7,6,3,1,2]=>1010011=>83
[6,5,9,8,7,4,3,1,2]=>10111011=>187
[8,7,4,6,5,3,1,2]=>1011101=>93
[9,5,8,7,6,4,3,1,2]=>10111110=>190
[6,10,9,8,7,5,4,3,1,2]=>101110111=>375
[8,1,4,3,6,2,5,7]=>1110000=>112
[1,6,3,7,8,4,2,5]=>0111000=>56
[5,3,8,4,6,7,2,1]=>1111000=>120
[4,3,5,8,6,7,2,1]=>1110010=>114
[3,2,7,8,5,6,4,1]=>1101100=>108
[4,7,3,8,5,6,2,1]=>1110100=>116
[7,1,4,8,5,6,3,2]=>1110100=>116
[4,3,8,7,2,5,6,1]=>1110001=>113
[1,7,3,8,6,4,5,2]=>0111010=>58
[7,4,2,8,5,6,3,1]=>1111100=>124
[3,4,8,2,6,7,5,1]=>1100100=>100
[1,6,3,8,7,4,5,2]=>0111001=>57
[1,4,5,8,7,6,2,3]=>0100011=>35
[5,2,1,3,8,4,6,7]=>1101000=>104
[1,4,3,5,8,2,6,7]=>0110000=>48
[2,1,3,8,6,4,5,7]=>1001010=>74
[1,3,6,4,5,8,2,7]=>0101000=>40
[6,1,4,3,5,8,2,7]=>1110000=>112
[6,5,1,3,8,2,4,7]=>1100100=>100
[1,4,3,8,6,2,5,7]=>0110010=>50
[4,1,3,8,6,2,5,7]=>1100010=>98
[7,1,5,4,6,3,8,2]=>1111000=>120
[8,9,7,6,5,4,3,2,10,1]=>111111100=>508
[7,6,8,5,4,3,2,9,1]=>11111100=>252
[6,8,7,5,4,3,2,9,1]=>11111010=>250
[6,4,7,8,3,5,1,2]=>1011000=>88
[3,5,6,7,1,8,4,2]=>1101000=>104
[3,5,2,4,8,6,7,1]=>1100010=>98
[3,7,6,1,4,8,5,2]=>1100110=>102
[8,4,7,1,5,6,2,3]=>1101000=>104
[2,7,8,3,6,1,5,4]=>1011000=>88
[1,7,8,3,6,2,5,4]=>0111000=>56
[7,4,3,5,8,1,6,2]=>1111000=>120
[7,3,6,4,1,8,5,2]=>1111100=>124
[7,8,4,3,6,1,5,2]=>1111000=>120
[7,1,6,4,3,8,5,2]=>1111100=>124
[8,7,3,4,1,5,2,6]=>1110001=>113
[7,2,6,4,3,8,5,1]=>1111100=>124
[1,7,5,4,3,8,2,6]=>0111100=>60
[2,3,4,5,6,1,8,9,7]=>10000010=>130
[2,3,4,5,1,7,8,9,6]=>10000100=>132
[2,6,3,1,4,7,8,5]=>1010100=>84
[2,9,3,4,5,6,1,7,8]=>10100000=>160
[2,3,4,5,6,7,1,9,10,8]=>100000010=>258
[2,7,3,4,1,8,5,6]=>1010100=>84
[2,8,3,4,5,1,6,9,7]=>10100010=>162
[2,7,3,4,1,5,8,9,6]=>10100100=>164
[2,3,4,5,1,7,8,9,10,6]=>100001000=>264
[2,6,3,1,4,7,8,9,5]=>10101000=>168
[2,3,1,5,6,7,8,9,10,4]=>100100000=>288
[8,6,4,5,1,3,7,2]=>1101010=>106
[7,4,8,5,3,6,1,2]=>1011100=>92
[8,4,6,5,1,3,7,2]=>1101100=>108
[4,5,3,8,7,1,2,6]=>1010001=>81
[8,5,4,7,6,1,2,3]=>1001110=>78
[7,5,8,2,4,3,1,6]=>1110100=>116
[2,3,7,8,1,4,6,5]=>1000100=>68
[8,2,3,5,4,1,7,6]=>1101010=>106
[7,1,3,8,2,4,6,5]=>1100100=>100
[7,2,3,6,4,1,8,5]=>1101100=>108
[6,5,2,4,1,8,3,7]=>1110100=>116
[5,7,2,4,1,3,8,6]=>1100010=>98
[6,2,5,4,1,8,3,7]=>1111000=>120
[4,2,5,3,7,6,9,8,1]=>11100101=>229
[4,2,6,3,7,5,9,8,1]=>11101001=>233
[4,2,6,3,8,5,9,7,1]=>11101010=>234
[4,2,6,3,8,5,1,7,9]=>11101000=>232
[4,2,6,3,5,8,1,7]=>1110000=>112
[4,2,6,3,8,5,7,1,9]=>11101000=>232
[4,2,6,3,5,8,7,1,9]=>11100010=>226
[4,2,3,6,5,8,7,1,9]=>11001010=>202
[4,2,5,3,7,6,9,8,1,10]=>111001010=>458
[5,2,6,3,7,4,9,8,1]=>11110001=>241
[4,2,6,3,7,5,9,8,1,10]=>111010010=>466
[4,2,7,3,8,5,9,6,1]=>11101100=>236
[4,2,6,3,8,5,9,7,1,10]=>111010100=>468
[4,2,6,3,9,5,1,7,8]=>11101000=>232
[4,2,6,3,8,5,10,7,1,9]=>111010100=>468
[4,2,6,3,8,5,7,9,1]=>11101000=>232
[4,2,6,3,8,5,10,7,9,1]=>111010100=>468
[4,2,6,3,5,8,1,7,9]=>11100000=>224
[4,2,6,3,8,5,7,10,9,1]=>111010001=>465
[4,2,3,6,8,5,7,1,9]=>11001000=>200
[4,2,6,3,5,8,7,10,9,1]=>111000101=>453
[2,4,6,3,5,8,7,1,9]=>10100010=>162
[4,2,3,6,5,8,7,10,9,1]=>110010101=>405
[7,4,2,6,8,5,3,1]=>1111100=>124
[8,5,2,4,6,3,1,7]=>1110100=>116
[7,4,1,2,8,5,6,3]=>1011100=>92
[6,4,1,8,5,2,3,7]=>1101100=>108
[8,4,1,6,3,5,2,7]=>1111000=>120
[7,3,4,1,6,8,5,2]=>1110100=>116
[8,6,2,3,5,7,4,1]=>1101010=>106
[8,6,2,5,7,3,4,1]=>1110010=>114
[6,3,4,8,5,1,2,7]=>1010100=>84
[8,5,1,2,7,4,6,3]=>1011100=>92
[7,2,6,8,3,4,5,1]=>1110000=>112
[1,6,7,5,4,8,2,3]=>0101100=>44
[1,8,5,4,2,6,3,7]=>0111100=>60
[3,4,5,6,9,2,1,8,7]=>11000010=>194
[3,4,5,8,2,9,1,7,6]=>11000100=>196
[3,4,7,2,8,9,1,5,6]=>11000000=>192
[3,6,2,7,8,9,1,5,4]=>11010000=>208
[5,2,6,7,8,9,1,4,3]=>11100000=>224
[3,4,5,6,9,1,7,8,2]=>11000000=>192
[3,4,5,6,7,10,2,1,9,8]=>110000010=>386
[3,4,5,8,9,6,1,7,2]=>11000100=>196
[3,4,5,6,9,2,10,1,8,7]=>110000100=>388
[3,4,7,8,5,9,1,2,6]=>10001000=>136
[3,4,5,9,2,6,1,8,7]=>11000010=>194
[3,4,5,8,2,9,10,1,6,7]=>110000000=>384
[3,6,7,4,8,9,1,5,2]=>11010000=>208
[3,4,8,2,5,9,1,7,6]=>11000100=>196
[3,4,7,2,8,9,10,1,6,5]=>110010000=>400
[5,6,3,7,8,9,1,4,2]=>11100000=>224
[3,7,2,4,8,9,1,5,6]=>11000000=>192
[3,6,2,7,8,9,10,1,5,4]=>110100000=>416
[6,2,3,7,8,9,1,5,4]=>11010000=>208
[5,2,6,7,8,9,10,1,3,4]=>110000000=>384
[8,9,7,6,5,4,1,3,2]=>11011110=>222
[8,7,9,6,5,4,1,3,2]=>11011110=>222
[9,7,8,6,5,4,1,3,2]=>11011110=>222
[9,10,8,7,6,5,4,1,3,2]=>110111110=>446
[10,8,7,6,5,4,3,2,9,1]=>111111110=>510
[5,7,3,6,2,1,4,8]=>1110000=>112
[1,3,2,4,5,6,9,7,8]=>01000010=>66
[2,3,1,4,5,6,9,7,8]=>10000010=>130
[5,8,6,1,2,4,3,7]=>1010010=>82
[4,1,5,7,3,6,8,2]=>1110000=>112
[1,4,5,7,6,8,2,3]=>0100010=>34
[5,7,2,1,6,8,4,3]=>1111000=>120
[2,6,3,1,7,8,5,4]=>1011100=>92
[6,2,5,7,4,1,8,3]=>1111000=>120
[3,6,1,8,7,4,5,2]=>1101001=>105
[4,3,9,5,6,7,8,2,1]=>11101000=>232
[2,9,4,5,6,7,8,1,10,3]=>101100000=>352
[3,2,8,5,6,7,1,9,4]=>11011000=>216
[7,8,4,5,6,1,3,9,2]=>11010000=>208
[3,4,1,9,6,7,8,2,5]=>11000100=>196
[4,8,9,5,6,7,2,1,3]=>11001000=>200
[4,3,10,5,6,7,8,9,2,1]=>111010000=>464
[3,2,9,5,6,7,8,1,10,4]=>110110000=>432
[8,9,4,5,6,7,1,3,10,2]=>110100000=>416
[4,2,3,8,6,7,1,9,5]=>11001100=>204
[6,8,4,5,1,3,7,9,2]=>11010000=>208
[4,7,1,3,5,6,8,2]=>1100000=>96
[4,3,5,7,8,2,6,1]=>1110000=>112
[3,5,1,4,9,7,8,2,6]=>11000010=>194
[8,3,4,9,6,7,2,5,1]=>11100100=>228
[3,4,1,10,6,7,8,9,2,5]=>110001000=>392
[4,7,9,5,6,2,1,8,3]=>11101000=>232
[4,9,10,5,6,7,8,2,1,3]=>110010000=>400
[5,3,2,7,6,4,1,8]=>1111010=>122
[5,3,7,4,6,2,1,8]=>1111000=>120
[5,7,3,2,1,8,6,4]=>1111010=>122
[5,7,6,3,2,1,8,4]=>1111010=>122
[3,2,7,5,4,1,8,6]=>1101110=>110
[1,7,3,5,4,2,6,8]=>0111000=>56
[5,3,7,4,1,8,6,2]=>1111010=>122
[7,3,5,4,1,6,8,2]=>1111000=>120
[7,5,1,6,8,3,2,4]=>1110100=>116
[5,3,1,7,6,8,2,4]=>1110010=>114
[7,1,5,3,2,4,8,6]=>1110010=>114
[8,1,2,5,3,4,6,7,9]=>10100000=>160
[7,1,5,2,4,3,6,8]=>1110000=>112
[1,9,2,3,6,4,5,7,8]=>01010000=>80
[9,1,2,3,6,4,5,7,8,10]=>100100000=>288
[8,1,2,6,4,3,5,7,9]=>10110000=>176
[8,1,2,6,3,5,4,7,9]=>10110000=>176
[1,9,2,3,7,5,4,6,8]=>01011000=>88
[1,9,2,3,7,4,6,5,8]=>01011000=>88
[6,8,7,3,2,1,5,4]=>1111001=>121
[3,6,8,7,2,4,1,5]=>1100001=>97
[5,7,3,6,2,1,8,4]=>1111000=>120
[3,6,5,2,4,8,1,7]=>1100100=>100
[5,6,7,8,9,3,2,1,4]=>11100000=>224
[6,7,8,9,3,4,1,2,5]=>10100000=>160
[6,7,8,9,3,4,2,1,5]=>11100000=>224
[7,8,9,3,4,5,1,2,6]=>10100000=>160
[7,8,9,3,4,5,2,1,6]=>11100000=>224
[7,8,9,4,5,2,3,1,6]=>11010000=>208
[7,8,9,4,5,3,2,1,6]=>11110000=>240
[8,9,4,5,6,2,3,1,7]=>11010000=>208
[8,9,4,5,6,3,2,1,7]=>11110000=>240
[8,9,5,6,3,4,1,2,7]=>10101000=>168
[8,9,5,6,3,4,2,1,7]=>11101000=>232
[8,9,5,6,4,3,2,1,7]=>11111000=>248
[9,6,7,4,5,3,2,1,8]=>11110100=>244
[5,6,7,8,9,10,3,2,1,4]=>111000000=>448
[7,8,9,10,3,4,5,1,2,6]=>101000000=>320
[7,8,9,10,3,4,5,2,1,6]=>111000000=>448
[7,8,9,10,4,5,2,3,1,6]=>110100000=>416
[7,8,9,10,4,5,3,2,1,6]=>111100000=>480
[7,8,9,10,5,4,3,2,1,6]=>111110000=>496
[8,9,10,3,4,5,6,1,2,7]=>101000000=>320
[8,9,10,3,4,5,6,2,1,7]=>111000000=>448
[8,9,10,4,5,6,1,2,3,7]=>100100000=>288
[8,9,10,4,5,6,3,2,1,7]=>111100000=>480
[8,9,10,5,6,3,4,1,2,7]=>101010000=>336
[8,9,10,5,6,3,4,2,1,7]=>111010000=>464
[8,9,10,5,6,4,3,2,1,7]=>111110000=>496
[8,9,10,6,5,4,3,2,1,7]=>111111000=>504
[9,10,5,6,7,2,3,4,1,8]=>110010000=>400
[9,10,5,6,7,3,4,1,2,8]=>101010000=>336
[9,10,5,6,7,3,4,2,1,8]=>111010000=>464
[9,10,5,6,7,4,3,2,1,8]=>111110000=>496
[9,10,6,7,4,5,3,2,1,8]=>111101000=>488
[9,10,6,7,5,4,3,2,1,8]=>111111000=>504
[9,10,7,6,5,4,3,2,1,8]=>111111100=>508
[10,7,8,5,6,3,4,2,1,9]=>111010100=>468
[10,7,8,5,6,4,3,2,1,9]=>111110100=>500
[10,7,8,6,5,4,3,2,1,9]=>111111100=>508
[1,8,3,6,2,4,7,5]=>0110100=>52
[1,8,7,5,6,4,2,3]=>0101101=>45
[6,8,2,1,5,4,3,7]=>1111000=>120
[10,9,1,2,3,7,8,4,5,6]=>100100001=>289
[10,9,1,2,8,7,3,4,5,6]=>101000101=>325
[9,8,1,10,7,2,3,4,5,6]=>110000110=>390
[8,6,1,2,3,4,5,9,10,7]=>100001100=>268
[5,7,1,2,3,4,8,9,10,6]=>100001000=>264
[10,4,1,2,3,7,8,9,5,6]=>100110000=>304
[10,3,1,2,9,7,8,4,5,6]=>101100100=>356
[2,9,1,10,8,7,3,4,5,6]=>101000110=>326
[6,3,2,1,5,8,4,7]=>1111000=>120
[4,3,5,6,2,8,1,7]=>1110000=>112
[6,3,5,2,7,8,4,1]=>1111000=>120
[4,5,3,1,6,8,2,7]=>1110000=>112
[3,4,6,7,5,1,8,2]=>1100100=>100
[7,4,1,2,5,6,8,3]=>1011000=>88
[4,8,2,6,7,1,5,3]=>1110000=>112
[6,5,8,3,7,1,4,2]=>1110100=>116
[4,2,6,1,3,5,8,7,9]=>11000010=>194
[4,2,6,1,8,3,5,7,9]=>11100000=>224
[4,2,6,1,3,5,8,7,10,9]=>110000101=>389
[4,2,8,1,3,6,5,7,9]=>11001000=>200
[4,2,6,1,8,3,5,7,10,9]=>111000001=>449
[4,2,6,1,9,3,5,8,7]=>11100010=>226
[4,2,6,1,8,3,10,5,7,9]=>111010000=>464
[9,7,1,8,2,3,4,5,6]=>11000010=>194
[9,6,1,7,2,8,3,4,5]=>11100100=>228
[8,6,1,9,7,2,3,4,5]=>11000110=>198
[9,8,6,1,7,2,3,4,5]=>11000101=>197
[8,5,1,9,6,2,7,3,4]=>11101100=>236
[9,8,5,1,6,2,7,3,4]=>11101001=>233
[9,7,5,1,8,6,2,3,4]=>11001110=>206
[9,8,7,5,1,6,2,3,4]=>11001011=>203
[9,7,4,1,8,5,2,6,3]=>11111010=>250
[9,8,7,4,1,5,2,6,3]=>11110011=>243
[8,6,4,1,9,7,5,2,3]=>11011110=>222
[9,8,6,4,1,7,5,2,3]=>11011101=>221
[9,8,7,6,4,1,5,2,3]=>11010111=>215
[9,8,7,5,3,1,6,4,2]=>11111011=>251
[10,7,1,8,2,9,3,4,5,6]=>111000100=>452
[9,7,1,10,8,2,3,4,5,6]=>110000110=>390
[10,9,7,1,8,2,3,4,5,6]=>110000101=>389
[10,6,1,7,2,8,3,9,4,5]=>111101000=>488
[9,6,1,10,7,2,8,3,4,5]=>111001100=>460
[10,9,6,1,7,2,8,3,4,5]=>111001001=>457
[10,8,6,1,9,7,2,3,4,5]=>110001110=>398
[10,9,8,6,1,7,2,3,4,5]=>110001011=>395
[9,5,1,10,6,2,7,3,8,4]=>111111000=>504
[10,9,5,1,6,2,7,3,8,4]=>111110001=>497
[8,5,1,9,6,2,10,7,3,4]=>111011100=>476
[10,8,5,1,9,6,2,7,3,4]=>111011010=>474
[10,9,8,5,1,6,2,7,3,4]=>111010011=>467
[9,7,5,1,10,8,6,2,3,4]=>110011110=>414
[10,9,7,5,1,8,6,2,3,4]=>110011101=>413
[10,9,8,7,5,1,6,2,3,4]=>110010111=>407
[9,7,4,1,10,8,5,2,6,3]=>111110110=>502
[10,9,7,4,1,8,5,2,6,3]=>111110101=>501
[10,9,8,7,4,1,5,2,6,3]=>111100111=>487
[10,8,6,4,1,9,7,5,2,3]=>110111110=>446
[10,9,8,6,4,1,7,5,2,3]=>110111011=>443
[10,9,8,7,6,4,1,5,2,3]=>110101111=>431
[10,9,7,5,3,1,8,6,4,2]=>111111101=>509
[10,9,8,7,5,3,1,6,4,2]=>111110111=>503
[10,9,8,7,6,5,3,1,4,2]=>111011111=>479
[9,1,2,8,4,3,5,6,7]=>10110000=>176
[8,1,9,3,2,4,6,5,7]=>11101000=>232
[9,8,2,1,3,5,6,4,7]=>11010001=>209
[8,1,9,2,4,5,6,3,7]=>11100000=>224
[2,3,4,10,6,7,8,9,1,5]=>100001000=>264
[2,3,10,5,6,7,8,9,1,4]=>100010000=>272
[2,3,4,5,6,10,1,9,7,8]=>100000100=>260
[2,3,4,5,10,1,8,9,6,7]=>100001000=>264
[2,3,10,1,6,7,8,9,4,5]=>100100000=>288
[1,5,2,4,7,6,8,3]=>0110010=>50
[1,4,3,6,5,8,7,9,2]=>01101010=>106
[1,4,2,6,5,8,7,9,3]=>01101010=>106
[1,5,2,6,4,8,7,9,3]=>01110010=>114
[1,5,2,7,4,8,6,9,3]=>01110100=>116
[1,5,2,7,4,9,6,8,3]=>01110100=>116
[1,5,2,7,4,6,9,8,3]=>01110001=>113
[1,5,2,4,7,6,9,8,3]=>01100101=>101
[1,2,5,4,7,6,9,8,3]=>00110101=>53
[1,4,2,6,5,8,7,10,9,3]=>011010101=>213
[1,5,2,6,3,8,7,9,4]=>01110010=>114
[1,5,2,6,4,8,7,10,9,3]=>011100101=>229
[1,6,2,7,4,8,5,9,3]=>01111000=>120
[1,5,2,7,4,8,6,10,9,3]=>011101001=>233
[1,5,2,8,4,9,6,7,3]=>01110100=>116
[1,5,2,7,4,9,6,10,8,3]=>011101010=>234
[1,5,2,7,4,6,8,9,3]=>01110000=>112
[1,5,2,7,4,9,6,8,10,3]=>011101000=>232
[1,5,2,4,7,9,6,8,3]=>01100100=>100
[1,5,2,7,4,6,9,8,10,3]=>011100010=>226
[1,2,5,7,4,6,9,8,3]=>00110001=>49
[1,5,2,4,7,6,9,8,10,3]=>011001010=>202
[1,2,5,4,7,6,9,8,10,3]=>001101010=>106
[2,5,4,7,1,8,3,6]=>1011000=>88
[1,5,4,7,3,8,2,6]=>0111000=>56
[1,2,6,7,3,5,4,8]=>0011000=>24
[9,10,7,8,5,3,6,4,1,2]=>101110100=>372
[9,10,7,8,5,3,1,6,4,2]=>111110100=>500
[9,10,7,5,8,6,3,4,1,2]=>101011100=>348
[9,10,7,5,8,6,3,1,4,2]=>111011100=>476
[9,10,7,5,8,3,6,4,1,2]=>101110100=>372
[9,10,7,5,8,3,1,6,4,2]=>111110100=>500
[9,10,7,5,3,8,6,4,1,2]=>101111100=>380
[9,10,7,5,3,8,6,1,4,2]=>111011100=>476
[9,10,7,5,3,8,1,6,4,2]=>111110100=>500
[9,10,7,5,3,1,8,6,4,2]=>111111100=>508
[9,7,10,8,5,6,3,1,4,2]=>111010110=>470
[9,7,10,8,5,3,6,4,1,2]=>101110110=>374
[9,7,10,8,5,3,6,1,4,2]=>111010110=>470
[9,7,10,8,5,3,1,6,4,2]=>111110110=>502
[9,7,10,5,8,6,3,1,4,2]=>111011100=>476
[9,7,10,5,8,3,1,6,4,2]=>111110100=>500
[9,7,10,5,3,8,6,4,1,2]=>101111100=>380
[9,7,10,5,3,8,6,1,4,2]=>111011100=>476
[9,7,10,5,3,8,1,6,4,2]=>111110100=>500
[9,7,10,5,3,1,8,6,4,2]=>111111100=>508
[9,7,5,10,8,6,3,4,1,2]=>101011110=>350
[9,7,5,10,8,6,3,1,4,2]=>111011110=>478
[9,7,5,10,8,3,6,4,1,2]=>101110110=>374
[9,7,5,10,8,3,6,1,4,2]=>111010110=>470
[9,7,5,10,8,3,1,6,4,2]=>111110110=>502
[9,7,5,10,3,8,6,4,1,2]=>101111100=>380
[9,7,5,10,3,8,6,1,4,2]=>111011100=>476
[9,7,5,10,3,8,1,6,4,2]=>111110100=>500
[9,7,5,10,3,1,8,6,4,2]=>111111100=>508
[9,7,5,3,10,8,6,4,1,2]=>101111110=>382
[9,7,5,3,10,8,6,1,4,2]=>111011110=>478
[9,7,5,3,10,8,1,6,4,2]=>111110110=>502
[9,7,5,3,10,1,8,6,4,2]=>111111100=>508
[8,1,2,4,6,3,5,7]=>1010000=>80
[4,5,6,7,9,8,3,2,1]=>11100001=>225
[5,4,6,7,8,9,3,2,1]=>11110000=>240
[5,6,7,8,10,9,4,3,2,1]=>111100001=>481
[6,5,7,8,9,4,3,2,1]=>11111000=>248
[6,5,7,8,9,10,4,3,2,1]=>111110000=>496
[4,5,6,7,8,10,9,3,2,1]=>111000001=>449
[4,5,6,7,3,9,8,2,1]=>11100001=>225
[3,5,6,7,9,8,4,2,1]=>11010001=>209
[5,4,6,7,8,3,9,2,1]=>11110000=>240
[4,3,6,7,8,9,5,2,1]=>11101000=>232
[5,4,6,7,8,9,10,3,2,1]=>111100000=>480
[3,4,5,6,8,9,7,1,2]=>10000010=>130
[3,4,5,7,8,9,6,1,2]=>10000100=>132
[3,5,6,7,8,9,4,1,2]=>10010000=>144
[4,5,6,7,8,9,3,1,2]=>10100000=>160
[3,4,5,6,7,9,10,8,1,2]=>100000010=>258
[3,4,5,8,1,9,7,6,2]=>11000110=>198
[3,4,5,6,8,9,10,7,1,2]=>100000100=>260
[3,4,7,1,8,9,6,5,2]=>11001100=>204
[3,6,1,7,8,9,4,5,2]=>11010000=>208
[3,4,6,7,8,9,10,5,1,2]=>100010000=>272
[5,1,6,7,8,9,4,3,2]=>11110000=>240
[3,5,6,7,8,9,10,4,1,2]=>100100000=>288
[1,5,6,7,8,9,3,2,4]=>01100000=>96
[3,4,5,6,7,10,1,8,9,2]=>110000000=>384
[3,4,5,8,9,6,7,1,2]=>10000100=>132
[3,4,5,6,9,1,10,8,7,2]=>110000110=>390
[3,4,7,8,5,9,6,1,2]=>10001100=>140
[3,4,5,9,1,6,7,8,2]=>11000000=>192
[3,4,5,8,1,9,10,7,6,2]=>110001100=>396
[3,4,8,1,5,9,7,6,2]=>11000110=>198
[3,4,7,1,8,9,10,5,6,2]=>110010000=>400
[5,6,3,7,8,9,4,1,2]=>10110000=>176
[3,7,8,4,5,6,1,2]=>1001000=>72
[3,7,1,4,8,9,6,5,2]=>11001100=>204
[3,6,1,7,8,9,10,5,4,2]=>110110000=>432
[5,2,6,7,8,9,3,1,4]=>11100000=>224
[6,1,3,7,8,9,4,5,2]=>11010000=>208
[5,1,6,7,8,9,10,4,3,2]=>111100000=>480
[1,2,6,7,8,9,4,3,5]=>00110000=>48
[1,3,8,6,7,4,5,2]=>0101010=>42
[2,6,5,3,7,1,8,4]=>1011100=>92
[5,7,1,3,6,4,8,2]=>1101000=>104
[8,2,5,4,1,7,3,6]=>1111000=>120
[8,1,7,6,4,2,3,5]=>1101010=>106
[1,8,6,3,7,4,5,2]=>0111010=>58
[5,7,3,4,2,8,6,1]=>1110010=>114
[5,8,3,4,2,7,6,1]=>1110010=>114
[7,6,4,2,3,8,5,1]=>1101110=>110
[3,5,6,8,2,4,7,1]=>1100000=>96
[4,8,7,3,2,5,6,1]=>1110001=>113
[3,7,4,2,6,8,5,1]=>1101100=>108
[6,4,8,7,3,2,5,1]=>1111001=>121
[5,6,2,8,7,4,3,1]=>1111001=>121
[6,2,8,3,7,4,5,1]=>1111000=>120
[3,7,5,6,4,2,8,1]=>1101100=>108
[5,2,3,8,6,1,4,7]=>1100010=>98
[1,4,3,8,5,6,2,7]=>0110100=>52
[7,8,2,6,4,3,5,1]=>1111000=>120
[4,5,8,7,2,3,6,1]=>1100001=>97
[7,8,6,1,4,2,5,3]=>1110010=>114
[6,10,5,1,2,3,4,7,8,9]=>100010000=>272
[10,5,4,1,2,3,6,7,8,9]=>100110000=>304
[8,3,6,5,2,7,1,4]=>1110100=>116
[5,1,3,6,4,2,7,8]=>1101000=>104
[6,1,2,4,7,5,3,8]=>1010100=>84
[8,3,1,4,6,7,2,5]=>1110000=>112
[7,8,5,1,2,6,3,4]=>1010100=>84
[6,4,5,1,8,7,3,2]=>1111001=>121
[8,6,2,1,7,3,5,4]=>1111010=>122
[9,3,4,5,6,8,7,2,1]=>11100010=>226
[9,4,3,5,6,7,8,2,1]=>11110000=>240
[10,9,3,4,5,6,8,7,2,1]=>111000101=>453
[9,8,3,4,5,7,6,2,1]=>11100101=>229
[9,8,4,3,5,6,7,2,1]=>11110001=>241
[10,9,4,3,5,6,7,8,2,1]=>111100001=>481
[10,3,4,5,6,7,9,8,2,1]=>111000010=>450
[9,3,4,5,6,2,8,7,1]=>11100010=>226
[9,2,4,5,6,8,7,3,1]=>11100010=>226
[9,4,3,5,6,7,2,8,1]=>11110000=>240
[9,3,2,5,6,7,8,4,1]=>11110000=>240
[10,4,3,5,6,7,8,9,2,1]=>111100000=>480
[7,8,6,1,4,3,5,2]=>1110010=>114
[4,6,3,5,7,2,8,1,9]=>11100000=>224
[5,6,3,4,7,2,8,1,9]=>11100000=>224
[4,3,6,2,5,7,1,8]=>1110000=>112
[1,5,7,4,6,8,3,9,2]=>01110000=>112
[1,6,5,7,3,4,8,2]=>0110100=>52
[1,6,7,4,5,8,3,9,2]=>01110000=>112
[1,7,5,6,8,4,9,3,10,2]=>011110000=>240
[1,2,3,4,8,5,9,6,7]=>00001100=>12
[1,2,3,4,5,8,6,9,7,10]=>000001100=>12
[1,2,3,7,4,5,8,6,9]=>00010100=>20
[1,2,3,4,8,6,5,7,9]=>00001100=>12
[1,2,3,4,9,7,5,6,8]=>00001010=>10
[1,2,3,4,5,9,6,10,7,8]=>000001100=>12
[8,2,6,5,1,7,4,3]=>1111100=>124
[7,6,4,1,2,5,8,3]=>1011010=>90
[2,6,5,4,8,7,1,3]=>1001101=>77
[5,6,7,1,3,2,4,8]=>1100000=>96
[7,1,8,4,3,2,6,5]=>1111100=>124
[2,1,4,9,3,5,6,7,8]=>10100000=>160
[3,7,1,2,4,5,6,9,8]=>10000001=>129
[3,1,2,6,9,4,5,7,8]=>10010000=>144
[4,6,1,2,3,5,9,7,8]=>10000010=>130
[1,8,5,2,7,6,4,3]=>0111110=>62
[1,7,6,8,2,5,4,3]=>0111010=>58
[1,7,8,6,2,5,4,3]=>0111010=>58
[4,6,5,7,1,8,2,3]=>1100100=>100
[7,5,3,6,8,4,2,1]=>1111100=>124
[7,2,5,6,4,8,3,1]=>1111000=>120
[7,4,6,2,8,5,3,1]=>1111100=>124
[9,7,6,5,4,3,8,2,1]=>11111110=>254
[9,8,6,5,4,7,3,2,1]=>11111101=>253
[5,4,3,2,1,9,7,8,6]=>11110110=>246
[10,8,7,6,5,4,3,9,2,1]=>111111110=>510
[10,9,7,6,5,4,8,3,2,1]=>111111101=>509
[1,6,3,4,2,5,8,7]=>0110001=>49
[1,5,7,6,2,3,8,4]=>0101010=>42
[1,4,3,7,6,2,5,8]=>0110010=>50
[1,3,7,4,6,8,5,2]=>0101100=>44
[3,7,4,6,8,1,5,2]=>1101000=>104
[2,6,7,5,3,4,1,8]=>1010100=>84
[2,4,1,7,5,6,8,3]=>1010100=>84
[7,2,4,8,3,5,1,6]=>1110000=>112
[5,6,1,4,3,8,7,2]=>1110001=>113
[5,8,6,4,3,1,7,2]=>1111010=>122
[4,1,3,7,8,6,5,2]=>1100110=>102
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Description
The decimal representation of a binary word.
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descent bottoms
Description
The descent bottoms of a permutation as a binary word.
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