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Identifier
  • St000246: Permutations ⟶ ℤ (values match St001583The projective dimension of the simple module corresponding to the point in the poset of the symmetric group under bruhat order.)
Values
=>
[]=>0 [1]=>0 [1,2]=>1 [2,1]=>0 [1,2,3]=>3 [1,3,2]=>2 [2,1,3]=>2 [2,3,1]=>1 [3,1,2]=>1 [3,2,1]=>0 [1,2,3,4]=>6 [1,2,4,3]=>5 [1,3,2,4]=>5 [1,3,4,2]=>4 [1,4,2,3]=>4 [1,4,3,2]=>3 [2,1,3,4]=>5 [2,1,4,3]=>4 [2,3,1,4]=>4 [2,3,4,1]=>3 [2,4,1,3]=>3 [2,4,3,1]=>2 [3,1,2,4]=>4 [3,1,4,2]=>3 [3,2,1,4]=>3 [3,2,4,1]=>2 [3,4,1,2]=>2 [3,4,2,1]=>1 [4,1,2,3]=>3 [4,1,3,2]=>2 [4,2,1,3]=>2 [4,2,3,1]=>1 [4,3,1,2]=>1 [4,3,2,1]=>0 [1,2,3,4,5]=>10 [1,2,3,5,4]=>9 [1,2,4,3,5]=>9 [1,2,4,5,3]=>8 [1,2,5,3,4]=>8 [1,2,5,4,3]=>7 [1,3,2,4,5]=>9 [1,3,2,5,4]=>8 [1,3,4,2,5]=>8 [1,3,4,5,2]=>7 [1,3,5,2,4]=>7 [1,3,5,4,2]=>6 [1,4,2,3,5]=>8 [1,4,2,5,3]=>7 [1,4,3,2,5]=>7 [1,4,3,5,2]=>6 [1,4,5,2,3]=>6 [1,4,5,3,2]=>5 [1,5,2,3,4]=>7 [1,5,2,4,3]=>6 [1,5,3,2,4]=>6 [1,5,3,4,2]=>5 [1,5,4,2,3]=>5 [1,5,4,3,2]=>4 [2,1,3,4,5]=>9 [2,1,3,5,4]=>8 [2,1,4,3,5]=>8 [2,1,4,5,3]=>7 [2,1,5,3,4]=>7 [2,1,5,4,3]=>6 [2,3,1,4,5]=>8 [2,3,1,5,4]=>7 [2,3,4,1,5]=>7 [2,3,4,5,1]=>6 [2,3,5,1,4]=>6 [2,3,5,4,1]=>5 [2,4,1,3,5]=>7 [2,4,1,5,3]=>6 [2,4,3,1,5]=>6 [2,4,3,5,1]=>5 [2,4,5,1,3]=>5 [2,4,5,3,1]=>4 [2,5,1,3,4]=>6 [2,5,1,4,3]=>5 [2,5,3,1,4]=>5 [2,5,3,4,1]=>4 [2,5,4,1,3]=>4 [2,5,4,3,1]=>3 [3,1,2,4,5]=>8 [3,1,2,5,4]=>7 [3,1,4,2,5]=>7 [3,1,4,5,2]=>6 [3,1,5,2,4]=>6 [3,1,5,4,2]=>5 [3,2,1,4,5]=>7 [3,2,1,5,4]=>6 [3,2,4,1,5]=>6 [3,2,4,5,1]=>5 [3,2,5,1,4]=>5 [3,2,5,4,1]=>4 [3,4,1,2,5]=>6 [3,4,1,5,2]=>5 [3,4,2,1,5]=>5 [3,4,2,5,1]=>4 [3,4,5,1,2]=>4 [3,4,5,2,1]=>3 [3,5,1,2,4]=>5 [3,5,1,4,2]=>4 [3,5,2,1,4]=>4 [3,5,2,4,1]=>3 [3,5,4,1,2]=>3 [3,5,4,2,1]=>2 [4,1,2,3,5]=>7 [4,1,2,5,3]=>6 [4,1,3,2,5]=>6 [4,1,3,5,2]=>5 [4,1,5,2,3]=>5 [4,1,5,3,2]=>4 [4,2,1,3,5]=>6 [4,2,1,5,3]=>5 [4,2,3,1,5]=>5 [4,2,3,5,1]=>4 [4,2,5,1,3]=>4 [4,2,5,3,1]=>3 [4,3,1,2,5]=>5 [4,3,1,5,2]=>4 [4,3,2,1,5]=>4 [4,3,2,5,1]=>3 [4,3,5,1,2]=>3 [4,3,5,2,1]=>2 [4,5,1,2,3]=>4 [4,5,1,3,2]=>3 [4,5,2,1,3]=>3 [4,5,2,3,1]=>2 [4,5,3,1,2]=>2 [4,5,3,2,1]=>1 [5,1,2,3,4]=>6 [5,1,2,4,3]=>5 [5,1,3,2,4]=>5 [5,1,3,4,2]=>4 [5,1,4,2,3]=>4 [5,1,4,3,2]=>3 [5,2,1,3,4]=>5 [5,2,1,4,3]=>4 [5,2,3,1,4]=>4 [5,2,3,4,1]=>3 [5,2,4,1,3]=>3 [5,2,4,3,1]=>2 [5,3,1,2,4]=>4 [5,3,1,4,2]=>3 [5,3,2,1,4]=>3 [5,3,2,4,1]=>2 [5,3,4,1,2]=>2 [5,3,4,2,1]=>1 [5,4,1,2,3]=>3 [5,4,1,3,2]=>2 [5,4,2,1,3]=>2 [5,4,2,3,1]=>1 [5,4,3,1,2]=>1 [5,4,3,2,1]=>0 [1,2,3,4,5,6]=>15 [1,2,3,4,6,5]=>14 [1,2,3,5,4,6]=>14 [1,2,3,5,6,4]=>13 [1,2,3,6,4,5]=>13 [1,2,3,6,5,4]=>12 [1,2,4,3,5,6]=>14 [1,2,4,3,6,5]=>13 [1,2,4,5,3,6]=>13 [1,2,4,5,6,3]=>12 [1,2,4,6,3,5]=>12 [1,2,4,6,5,3]=>11 [1,2,5,3,4,6]=>13 [1,2,5,3,6,4]=>12 [1,2,5,4,3,6]=>12 [1,2,5,4,6,3]=>11 [1,2,5,6,3,4]=>11 [1,2,5,6,4,3]=>10 [1,2,6,3,4,5]=>12 [1,2,6,3,5,4]=>11 [1,2,6,4,3,5]=>11 [1,2,6,4,5,3]=>10 [1,2,6,5,3,4]=>10 [1,2,6,5,4,3]=>9 [1,3,2,4,5,6]=>14 [1,3,2,4,6,5]=>13 [1,3,2,5,4,6]=>13 [1,3,2,5,6,4]=>12 [1,3,2,6,4,5]=>12 [1,3,2,6,5,4]=>11 [1,3,4,2,5,6]=>13 [1,3,4,2,6,5]=>12 [1,3,4,5,2,6]=>12 [1,3,4,5,6,2]=>11 [1,3,4,6,2,5]=>11 [1,3,4,6,5,2]=>10 [1,3,5,2,4,6]=>12 [1,3,5,2,6,4]=>11 [1,3,5,4,2,6]=>11 [1,3,5,4,6,2]=>10 [1,3,5,6,2,4]=>10 [1,3,5,6,4,2]=>9 [1,3,6,2,4,5]=>11 [1,3,6,2,5,4]=>10 [1,3,6,4,2,5]=>10 [1,3,6,4,5,2]=>9 [1,3,6,5,2,4]=>9 [1,3,6,5,4,2]=>8 [1,4,2,3,5,6]=>13 [1,4,2,3,6,5]=>12 [1,4,2,5,3,6]=>12 [1,4,2,5,6,3]=>11 [1,4,2,6,3,5]=>11 [1,4,2,6,5,3]=>10 [1,4,3,2,5,6]=>12 [1,4,3,2,6,5]=>11 [1,4,3,5,2,6]=>11 [1,4,3,5,6,2]=>10 [1,4,3,6,2,5]=>10 [1,4,3,6,5,2]=>9 [1,4,5,2,3,6]=>11 [1,4,5,2,6,3]=>10 [1,4,5,3,2,6]=>10 [1,4,5,3,6,2]=>9 [1,4,5,6,2,3]=>9 [1,4,5,6,3,2]=>8 [1,4,6,2,3,5]=>10 [1,4,6,2,5,3]=>9 [1,4,6,3,2,5]=>9 [1,4,6,3,5,2]=>8 [1,4,6,5,2,3]=>8 [1,4,6,5,3,2]=>7 [1,5,2,3,4,6]=>12 [1,5,2,3,6,4]=>11 [1,5,2,4,3,6]=>11 [1,5,2,4,6,3]=>10 [1,5,2,6,3,4]=>10 [1,5,2,6,4,3]=>9 [1,5,3,2,4,6]=>11 [1,5,3,2,6,4]=>10 [1,5,3,4,2,6]=>10 [1,5,3,4,6,2]=>9 [1,5,3,6,2,4]=>9 [1,5,3,6,4,2]=>8 [1,5,4,2,3,6]=>10 [1,5,4,2,6,3]=>9 [1,5,4,3,2,6]=>9 [1,5,4,3,6,2]=>8 [1,5,4,6,2,3]=>8 [1,5,4,6,3,2]=>7 [1,5,6,2,3,4]=>9 [1,5,6,2,4,3]=>8 [1,5,6,3,2,4]=>8 [1,5,6,3,4,2]=>7 [1,5,6,4,2,3]=>7 [1,5,6,4,3,2]=>6 [1,6,2,3,4,5]=>11 [1,6,2,3,5,4]=>10 [1,6,2,4,3,5]=>10 [1,6,2,4,5,3]=>9 [1,6,2,5,3,4]=>9 [1,6,2,5,4,3]=>8 [1,6,3,2,4,5]=>10 [1,6,3,2,5,4]=>9 [1,6,3,4,2,5]=>9 [1,6,3,4,5,2]=>8 [1,6,3,5,2,4]=>8 [1,6,3,5,4,2]=>7 [1,6,4,2,3,5]=>9 [1,6,4,2,5,3]=>8 [1,6,4,3,2,5]=>8 [1,6,4,3,5,2]=>7 [1,6,4,5,2,3]=>7 [1,6,4,5,3,2]=>6 [1,6,5,2,3,4]=>8 [1,6,5,2,4,3]=>7 [1,6,5,3,2,4]=>7 [1,6,5,3,4,2]=>6 [1,6,5,4,2,3]=>6 [1,6,5,4,3,2]=>5 [2,1,3,4,5,6]=>14 [2,1,3,4,6,5]=>13 [2,1,3,5,4,6]=>13 [2,1,3,5,6,4]=>12 [2,1,3,6,4,5]=>12 [2,1,3,6,5,4]=>11 [2,1,4,3,5,6]=>13 [2,1,4,3,6,5]=>12 [2,1,4,5,3,6]=>12 [2,1,4,5,6,3]=>11 [2,1,4,6,3,5]=>11 [2,1,4,6,5,3]=>10 [2,1,5,3,4,6]=>12 [2,1,5,3,6,4]=>11 [2,1,5,4,3,6]=>11 [2,1,5,4,6,3]=>10 [2,1,5,6,3,4]=>10 [2,1,5,6,4,3]=>9 [2,1,6,3,4,5]=>11 [2,1,6,3,5,4]=>10 [2,1,6,4,3,5]=>10 [2,1,6,4,5,3]=>9 [2,1,6,5,3,4]=>9 [2,1,6,5,4,3]=>8 [2,3,1,4,5,6]=>13 [2,3,1,4,6,5]=>12 [2,3,1,5,4,6]=>12 [2,3,1,5,6,4]=>11 [2,3,1,6,4,5]=>11 [2,3,1,6,5,4]=>10 [2,3,4,1,5,6]=>12 [2,3,4,1,6,5]=>11 [2,3,4,5,1,6]=>11 [2,3,4,5,6,1]=>10 [2,3,4,6,1,5]=>10 [2,3,4,6,5,1]=>9 [2,3,5,1,4,6]=>11 [2,3,5,1,6,4]=>10 [2,3,5,4,1,6]=>10 [2,3,5,4,6,1]=>9 [2,3,5,6,1,4]=>9 [2,3,5,6,4,1]=>8 [2,3,6,1,4,5]=>10 [2,3,6,1,5,4]=>9 [2,3,6,4,1,5]=>9 [2,3,6,4,5,1]=>8 [2,3,6,5,1,4]=>8 [2,3,6,5,4,1]=>7 [2,4,1,3,5,6]=>12 [2,4,1,3,6,5]=>11 [2,4,1,5,3,6]=>11 [2,4,1,5,6,3]=>10 [2,4,1,6,3,5]=>10 [2,4,1,6,5,3]=>9 [2,4,3,1,5,6]=>11 [2,4,3,1,6,5]=>10 [2,4,3,5,1,6]=>10 [2,4,3,5,6,1]=>9 [2,4,3,6,1,5]=>9 [2,4,3,6,5,1]=>8 [2,4,5,1,3,6]=>10 [2,4,5,1,6,3]=>9 [2,4,5,3,1,6]=>9 [2,4,5,3,6,1]=>8 [2,4,5,6,1,3]=>8 [2,4,5,6,3,1]=>7 [2,4,6,1,3,5]=>9 [2,4,6,1,5,3]=>8 [2,4,6,3,1,5]=>8 [2,4,6,3,5,1]=>7 [2,4,6,5,1,3]=>7 [2,4,6,5,3,1]=>6 [2,5,1,3,4,6]=>11 [2,5,1,3,6,4]=>10 [2,5,1,4,3,6]=>10 [2,5,1,4,6,3]=>9 [2,5,1,6,3,4]=>9 [2,5,1,6,4,3]=>8 [2,5,3,1,4,6]=>10 [2,5,3,1,6,4]=>9 [2,5,3,4,1,6]=>9 [2,5,3,4,6,1]=>8 [2,5,3,6,1,4]=>8 [2,5,3,6,4,1]=>7 [2,5,4,1,3,6]=>9 [2,5,4,1,6,3]=>8 [2,5,4,3,1,6]=>8 [2,5,4,3,6,1]=>7 [2,5,4,6,1,3]=>7 [2,5,4,6,3,1]=>6 [2,5,6,1,3,4]=>8 [2,5,6,1,4,3]=>7 [2,5,6,3,1,4]=>7 [2,5,6,3,4,1]=>6 [2,5,6,4,1,3]=>6 [2,5,6,4,3,1]=>5 [2,6,1,3,4,5]=>10 [2,6,1,3,5,4]=>9 [2,6,1,4,3,5]=>9 [2,6,1,4,5,3]=>8 [2,6,1,5,3,4]=>8 [2,6,1,5,4,3]=>7 [2,6,3,1,4,5]=>9 [2,6,3,1,5,4]=>8 [2,6,3,4,1,5]=>8 [2,6,3,4,5,1]=>7 [2,6,3,5,1,4]=>7 [2,6,3,5,4,1]=>6 [2,6,4,1,3,5]=>8 [2,6,4,1,5,3]=>7 [2,6,4,3,1,5]=>7 [2,6,4,3,5,1]=>6 [2,6,4,5,1,3]=>6 [2,6,4,5,3,1]=>5 [2,6,5,1,3,4]=>7 [2,6,5,1,4,3]=>6 [2,6,5,3,1,4]=>6 [2,6,5,3,4,1]=>5 [2,6,5,4,1,3]=>5 [2,6,5,4,3,1]=>4 [3,1,2,4,5,6]=>13 [3,1,2,4,6,5]=>12 [3,1,2,5,4,6]=>12 [3,1,2,5,6,4]=>11 [3,1,2,6,4,5]=>11 [3,1,2,6,5,4]=>10 [3,1,4,2,5,6]=>12 [3,1,4,2,6,5]=>11 [3,1,4,5,2,6]=>11 [3,1,4,5,6,2]=>10 [3,1,4,6,2,5]=>10 [3,1,4,6,5,2]=>9 [3,1,5,2,4,6]=>11 [3,1,5,2,6,4]=>10 [3,1,5,4,2,6]=>10 [3,1,5,4,6,2]=>9 [3,1,5,6,2,4]=>9 [3,1,5,6,4,2]=>8 [3,1,6,2,4,5]=>10 [3,1,6,2,5,4]=>9 [3,1,6,4,2,5]=>9 [3,1,6,4,5,2]=>8 [3,1,6,5,2,4]=>8 [3,1,6,5,4,2]=>7 [3,2,1,4,5,6]=>12 [3,2,1,4,6,5]=>11 [3,2,1,5,4,6]=>11 [3,2,1,5,6,4]=>10 [3,2,1,6,4,5]=>10 [3,2,1,6,5,4]=>9 [3,2,4,1,5,6]=>11 [3,2,4,1,6,5]=>10 [3,2,4,5,1,6]=>10 [3,2,4,5,6,1]=>9 [3,2,4,6,1,5]=>9 [3,2,4,6,5,1]=>8 [3,2,5,1,4,6]=>10 [3,2,5,1,6,4]=>9 [3,2,5,4,1,6]=>9 [3,2,5,4,6,1]=>8 [3,2,5,6,1,4]=>8 [3,2,5,6,4,1]=>7 [3,2,6,1,4,5]=>9 [3,2,6,1,5,4]=>8 [3,2,6,4,1,5]=>8 [3,2,6,4,5,1]=>7 [3,2,6,5,1,4]=>7 [3,2,6,5,4,1]=>6 [3,4,1,2,5,6]=>11 [3,4,1,2,6,5]=>10 [3,4,1,5,2,6]=>10 [3,4,1,5,6,2]=>9 [3,4,1,6,2,5]=>9 [3,4,1,6,5,2]=>8 [3,4,2,1,5,6]=>10 [3,4,2,1,6,5]=>9 [3,4,2,5,1,6]=>9 [3,4,2,5,6,1]=>8 [3,4,2,6,1,5]=>8 [3,4,2,6,5,1]=>7 [3,4,5,1,2,6]=>9 [3,4,5,1,6,2]=>8 [3,4,5,2,1,6]=>8 [3,4,5,2,6,1]=>7 [3,4,5,6,1,2]=>7 [3,4,5,6,2,1]=>6 [3,4,6,1,2,5]=>8 [3,4,6,1,5,2]=>7 [3,4,6,2,1,5]=>7 [3,4,6,2,5,1]=>6 [3,4,6,5,1,2]=>6 [3,4,6,5,2,1]=>5 [3,5,1,2,4,6]=>10 [3,5,1,2,6,4]=>9 [3,5,1,4,2,6]=>9 [3,5,1,4,6,2]=>8 [3,5,1,6,2,4]=>8 [3,5,1,6,4,2]=>7 [3,5,2,1,4,6]=>9 [3,5,2,1,6,4]=>8 [3,5,2,4,1,6]=>8 [3,5,2,4,6,1]=>7 [3,5,2,6,1,4]=>7 [3,5,2,6,4,1]=>6 [3,5,4,1,2,6]=>8 [3,5,4,1,6,2]=>7 [3,5,4,2,1,6]=>7 [3,5,4,2,6,1]=>6 [3,5,4,6,1,2]=>6 [3,5,4,6,2,1]=>5 [3,5,6,1,2,4]=>7 [3,5,6,1,4,2]=>6 [3,5,6,2,1,4]=>6 [3,5,6,2,4,1]=>5 [3,5,6,4,1,2]=>5 [3,5,6,4,2,1]=>4 [3,6,1,2,4,5]=>9 [3,6,1,2,5,4]=>8 [3,6,1,4,2,5]=>8 [3,6,1,4,5,2]=>7 [3,6,1,5,2,4]=>7 [3,6,1,5,4,2]=>6 [3,6,2,1,4,5]=>8 [3,6,2,1,5,4]=>7 [3,6,2,4,1,5]=>7 [3,6,2,4,5,1]=>6 [3,6,2,5,1,4]=>6 [3,6,2,5,4,1]=>5 [3,6,4,1,2,5]=>7 [3,6,4,1,5,2]=>6 [3,6,4,2,1,5]=>6 [3,6,4,2,5,1]=>5 [3,6,4,5,1,2]=>5 [3,6,4,5,2,1]=>4 [3,6,5,1,2,4]=>6 [3,6,5,1,4,2]=>5 [3,6,5,2,1,4]=>5 [3,6,5,2,4,1]=>4 [3,6,5,4,1,2]=>4 [3,6,5,4,2,1]=>3 [4,1,2,3,5,6]=>12 [4,1,2,3,6,5]=>11 [4,1,2,5,3,6]=>11 [4,1,2,5,6,3]=>10 [4,1,2,6,3,5]=>10 [4,1,2,6,5,3]=>9 [4,1,3,2,5,6]=>11 [4,1,3,2,6,5]=>10 [4,1,3,5,2,6]=>10 [4,1,3,5,6,2]=>9 [4,1,3,6,2,5]=>9 [4,1,3,6,5,2]=>8 [4,1,5,2,3,6]=>10 [4,1,5,2,6,3]=>9 [4,1,5,3,2,6]=>9 [4,1,5,3,6,2]=>8 [4,1,5,6,2,3]=>8 [4,1,5,6,3,2]=>7 [4,1,6,2,3,5]=>9 [4,1,6,2,5,3]=>8 [4,1,6,3,2,5]=>8 [4,1,6,3,5,2]=>7 [4,1,6,5,2,3]=>7 [4,1,6,5,3,2]=>6 [4,2,1,3,5,6]=>11 [4,2,1,3,6,5]=>10 [4,2,1,5,3,6]=>10 [4,2,1,5,6,3]=>9 [4,2,1,6,3,5]=>9 [4,2,1,6,5,3]=>8 [4,2,3,1,5,6]=>10 [4,2,3,1,6,5]=>9 [4,2,3,5,1,6]=>9 [4,2,3,5,6,1]=>8 [4,2,3,6,1,5]=>8 [4,2,3,6,5,1]=>7 [4,2,5,1,3,6]=>9 [4,2,5,1,6,3]=>8 [4,2,5,3,1,6]=>8 [4,2,5,3,6,1]=>7 [4,2,5,6,1,3]=>7 [4,2,5,6,3,1]=>6 [4,2,6,1,3,5]=>8 [4,2,6,1,5,3]=>7 [4,2,6,3,1,5]=>7 [4,2,6,3,5,1]=>6 [4,2,6,5,1,3]=>6 [4,2,6,5,3,1]=>5 [4,3,1,2,5,6]=>10 [4,3,1,2,6,5]=>9 [4,3,1,5,2,6]=>9 [4,3,1,5,6,2]=>8 [4,3,1,6,2,5]=>8 [4,3,1,6,5,2]=>7 [4,3,2,1,5,6]=>9 [4,3,2,1,6,5]=>8 [4,3,2,5,1,6]=>8 [4,3,2,5,6,1]=>7 [4,3,2,6,1,5]=>7 [4,3,2,6,5,1]=>6 [4,3,5,1,2,6]=>8 [4,3,5,1,6,2]=>7 [4,3,5,2,1,6]=>7 [4,3,5,2,6,1]=>6 [4,3,5,6,1,2]=>6 [4,3,5,6,2,1]=>5 [4,3,6,1,2,5]=>7 [4,3,6,1,5,2]=>6 [4,3,6,2,1,5]=>6 [4,3,6,2,5,1]=>5 [4,3,6,5,1,2]=>5 [4,3,6,5,2,1]=>4 [4,5,1,2,3,6]=>9 [4,5,1,2,6,3]=>8 [4,5,1,3,2,6]=>8 [4,5,1,3,6,2]=>7 [4,5,1,6,2,3]=>7 [4,5,1,6,3,2]=>6 [4,5,2,1,3,6]=>8 [4,5,2,1,6,3]=>7 [4,5,2,3,1,6]=>7 [4,5,2,3,6,1]=>6 [4,5,2,6,1,3]=>6 [4,5,2,6,3,1]=>5 [4,5,3,1,2,6]=>7 [4,5,3,1,6,2]=>6 [4,5,3,2,1,6]=>6 [4,5,3,2,6,1]=>5 [4,5,3,6,1,2]=>5 [4,5,3,6,2,1]=>4 [4,5,6,1,2,3]=>6 [4,5,6,1,3,2]=>5 [4,5,6,2,1,3]=>5 [4,5,6,2,3,1]=>4 [4,5,6,3,1,2]=>4 [4,5,6,3,2,1]=>3 [4,6,1,2,3,5]=>8 [4,6,1,2,5,3]=>7 [4,6,1,3,2,5]=>7 [4,6,1,3,5,2]=>6 [4,6,1,5,2,3]=>6 [4,6,1,5,3,2]=>5 [4,6,2,1,3,5]=>7 [4,6,2,1,5,3]=>6 [4,6,2,3,1,5]=>6 [4,6,2,3,5,1]=>5 [4,6,2,5,1,3]=>5 [4,6,2,5,3,1]=>4 [4,6,3,1,2,5]=>6 [4,6,3,1,5,2]=>5 [4,6,3,2,1,5]=>5 [4,6,3,2,5,1]=>4 [4,6,3,5,1,2]=>4 [4,6,3,5,2,1]=>3 [4,6,5,1,2,3]=>5 [4,6,5,1,3,2]=>4 [4,6,5,2,1,3]=>4 [4,6,5,2,3,1]=>3 [4,6,5,3,1,2]=>3 [4,6,5,3,2,1]=>2 [5,1,2,3,4,6]=>11 [5,1,2,3,6,4]=>10 [5,1,2,4,3,6]=>10 [5,1,2,4,6,3]=>9 [5,1,2,6,3,4]=>9 [5,1,2,6,4,3]=>8 [5,1,3,2,4,6]=>10 [5,1,3,2,6,4]=>9 [5,1,3,4,2,6]=>9 [5,1,3,4,6,2]=>8 [5,1,3,6,2,4]=>8 [5,1,3,6,4,2]=>7 [5,1,4,2,3,6]=>9 [5,1,4,2,6,3]=>8 [5,1,4,3,2,6]=>8 [5,1,4,3,6,2]=>7 [5,1,4,6,2,3]=>7 [5,1,4,6,3,2]=>6 [5,1,6,2,3,4]=>8 [5,1,6,2,4,3]=>7 [5,1,6,3,2,4]=>7 [5,1,6,3,4,2]=>6 [5,1,6,4,2,3]=>6 [5,1,6,4,3,2]=>5 [5,2,1,3,4,6]=>10 [5,2,1,3,6,4]=>9 [5,2,1,4,3,6]=>9 [5,2,1,4,6,3]=>8 [5,2,1,6,3,4]=>8 [5,2,1,6,4,3]=>7 [5,2,3,1,4,6]=>9 [5,2,3,1,6,4]=>8 [5,2,3,4,1,6]=>8 [5,2,3,4,6,1]=>7 [5,2,3,6,1,4]=>7 [5,2,3,6,4,1]=>6 [5,2,4,1,3,6]=>8 [5,2,4,1,6,3]=>7 [5,2,4,3,1,6]=>7 [5,2,4,3,6,1]=>6 [5,2,4,6,1,3]=>6 [5,2,4,6,3,1]=>5 [5,2,6,1,3,4]=>7 [5,2,6,1,4,3]=>6 [5,2,6,3,1,4]=>6 [5,2,6,3,4,1]=>5 [5,2,6,4,1,3]=>5 [5,2,6,4,3,1]=>4 [5,3,1,2,4,6]=>9 [5,3,1,2,6,4]=>8 [5,3,1,4,2,6]=>8 [5,3,1,4,6,2]=>7 [5,3,1,6,2,4]=>7 [5,3,1,6,4,2]=>6 [5,3,2,1,4,6]=>8 [5,3,2,1,6,4]=>7 [5,3,2,4,1,6]=>7 [5,3,2,4,6,1]=>6 [5,3,2,6,1,4]=>6 [5,3,2,6,4,1]=>5 [5,3,4,1,2,6]=>7 [5,3,4,1,6,2]=>6 [5,3,4,2,1,6]=>6 [5,3,4,2,6,1]=>5 [5,3,4,6,1,2]=>5 [5,3,4,6,2,1]=>4 [5,3,6,1,2,4]=>6 [5,3,6,1,4,2]=>5 [5,3,6,2,1,4]=>5 [5,3,6,2,4,1]=>4 [5,3,6,4,1,2]=>4 [5,3,6,4,2,1]=>3 [5,4,1,2,3,6]=>8 [5,4,1,2,6,3]=>7 [5,4,1,3,2,6]=>7 [5,4,1,3,6,2]=>6 [5,4,1,6,2,3]=>6 [5,4,1,6,3,2]=>5 [5,4,2,1,3,6]=>7 [5,4,2,1,6,3]=>6 [5,4,2,3,1,6]=>6 [5,4,2,3,6,1]=>5 [5,4,2,6,1,3]=>5 [5,4,2,6,3,1]=>4 [5,4,3,1,2,6]=>6 [5,4,3,1,6,2]=>5 [5,4,3,2,1,6]=>5 [5,4,3,2,6,1]=>4 [5,4,3,6,1,2]=>4 [5,4,3,6,2,1]=>3 [5,4,6,1,2,3]=>5 [5,4,6,1,3,2]=>4 [5,4,6,2,1,3]=>4 [5,4,6,2,3,1]=>3 [5,4,6,3,1,2]=>3 [5,4,6,3,2,1]=>2 [5,6,1,2,3,4]=>7 [5,6,1,2,4,3]=>6 [5,6,1,3,2,4]=>6 [5,6,1,3,4,2]=>5 [5,6,1,4,2,3]=>5 [5,6,1,4,3,2]=>4 [5,6,2,1,3,4]=>6 [5,6,2,1,4,3]=>5 [5,6,2,3,1,4]=>5 [5,6,2,3,4,1]=>4 [5,6,2,4,1,3]=>4 [5,6,2,4,3,1]=>3 [5,6,3,1,2,4]=>5 [5,6,3,1,4,2]=>4 [5,6,3,2,1,4]=>4 [5,6,3,2,4,1]=>3 [5,6,3,4,1,2]=>3 [5,6,3,4,2,1]=>2 [5,6,4,1,2,3]=>4 [5,6,4,1,3,2]=>3 [5,6,4,2,1,3]=>3 [5,6,4,2,3,1]=>2 [5,6,4,3,1,2]=>2 [5,6,4,3,2,1]=>1 [6,1,2,3,4,5]=>10 [6,1,2,3,5,4]=>9 [6,1,2,4,3,5]=>9 [6,1,2,4,5,3]=>8 [6,1,2,5,3,4]=>8 [6,1,2,5,4,3]=>7 [6,1,3,2,4,5]=>9 [6,1,3,2,5,4]=>8 [6,1,3,4,2,5]=>8 [6,1,3,4,5,2]=>7 [6,1,3,5,2,4]=>7 [6,1,3,5,4,2]=>6 [6,1,4,2,3,5]=>8 [6,1,4,2,5,3]=>7 [6,1,4,3,2,5]=>7 [6,1,4,3,5,2]=>6 [6,1,4,5,2,3]=>6 [6,1,4,5,3,2]=>5 [6,1,5,2,3,4]=>7 [6,1,5,2,4,3]=>6 [6,1,5,3,2,4]=>6 [6,1,5,3,4,2]=>5 [6,1,5,4,2,3]=>5 [6,1,5,4,3,2]=>4 [6,2,1,3,4,5]=>9 [6,2,1,3,5,4]=>8 [6,2,1,4,3,5]=>8 [6,2,1,4,5,3]=>7 [6,2,1,5,3,4]=>7 [6,2,1,5,4,3]=>6 [6,2,3,1,4,5]=>8 [6,2,3,1,5,4]=>7 [6,2,3,4,1,5]=>7 [6,2,3,4,5,1]=>6 [6,2,3,5,1,4]=>6 [6,2,3,5,4,1]=>5 [6,2,4,1,3,5]=>7 [6,2,4,1,5,3]=>6 [6,2,4,3,1,5]=>6 [6,2,4,3,5,1]=>5 [6,2,4,5,1,3]=>5 [6,2,4,5,3,1]=>4 [6,2,5,1,3,4]=>6 [6,2,5,1,4,3]=>5 [6,2,5,3,1,4]=>5 [6,2,5,3,4,1]=>4 [6,2,5,4,1,3]=>4 [6,2,5,4,3,1]=>3 [6,3,1,2,4,5]=>8 [6,3,1,2,5,4]=>7 [6,3,1,4,2,5]=>7 [6,3,1,4,5,2]=>6 [6,3,1,5,2,4]=>6 [6,3,1,5,4,2]=>5 [6,3,2,1,4,5]=>7 [6,3,2,1,5,4]=>6 [6,3,2,4,1,5]=>6 [6,3,2,4,5,1]=>5 [6,3,2,5,1,4]=>5 [6,3,2,5,4,1]=>4 [6,3,4,1,2,5]=>6 [6,3,4,1,5,2]=>5 [6,3,4,2,1,5]=>5 [6,3,4,2,5,1]=>4 [6,3,4,5,1,2]=>4 [6,3,4,5,2,1]=>3 [6,3,5,1,2,4]=>5 [6,3,5,1,4,2]=>4 [6,3,5,2,1,4]=>4 [6,3,5,2,4,1]=>3 [6,3,5,4,1,2]=>3 [6,3,5,4,2,1]=>2 [6,4,1,2,3,5]=>7 [6,4,1,2,5,3]=>6 [6,4,1,3,2,5]=>6 [6,4,1,3,5,2]=>5 [6,4,1,5,2,3]=>5 [6,4,1,5,3,2]=>4 [6,4,2,1,3,5]=>6 [6,4,2,1,5,3]=>5 [6,4,2,3,1,5]=>5 [6,4,2,3,5,1]=>4 [6,4,2,5,1,3]=>4 [6,4,2,5,3,1]=>3 [6,4,3,1,2,5]=>5 [6,4,3,1,5,2]=>4 [6,4,3,2,1,5]=>4 [6,4,3,2,5,1]=>3 [6,4,3,5,1,2]=>3 [6,4,3,5,2,1]=>2 [6,4,5,1,2,3]=>4 [6,4,5,1,3,2]=>3 [6,4,5,2,1,3]=>3 [6,4,5,2,3,1]=>2 [6,4,5,3,1,2]=>2 [6,4,5,3,2,1]=>1 [6,5,1,2,3,4]=>6 [6,5,1,2,4,3]=>5 [6,5,1,3,2,4]=>5 [6,5,1,3,4,2]=>4 [6,5,1,4,2,3]=>4 [6,5,1,4,3,2]=>3 [6,5,2,1,3,4]=>5 [6,5,2,1,4,3]=>4 [6,5,2,3,1,4]=>4 [6,5,2,3,4,1]=>3 [6,5,2,4,1,3]=>3 [6,5,2,4,3,1]=>2 [6,5,3,1,2,4]=>4 [6,5,3,1,4,2]=>3 [6,5,3,2,1,4]=>3 [6,5,3,2,4,1]=>2 [6,5,3,4,1,2]=>2 [6,5,3,4,2,1]=>1 [6,5,4,1,2,3]=>3 [6,5,4,1,3,2]=>2 [6,5,4,2,1,3]=>2 [6,5,4,2,3,1]=>1 [6,5,4,3,1,2]=>1 [6,5,4,3,2,1]=>0 [1,2,3,4,5,6,7]=>21 [1,2,3,4,5,7,6]=>20 [1,2,3,4,6,5,7]=>20 [1,2,3,6,4,7,5]=>18 [1,2,6,3,4,7,5]=>17 [1,3,2,4,5,6,7]=>20 [1,3,7,2,4,5,6]=>16 [1,3,7,6,5,4,2]=>10 [1,4,6,7,2,3,5]=>13 [1,4,6,7,5,3,2]=>10 [1,4,7,2,3,5,6]=>15 [1,4,7,6,5,3,2]=>9 [1,5,2,3,4,7,6]=>17 [1,5,2,7,3,4,6]=>15 [1,5,4,7,6,3,2]=>10 [1,5,6,2,7,3,4]=>13 [1,5,6,4,7,3,2]=>10 [1,5,6,7,2,3,4]=>12 [1,5,6,7,4,3,2]=>9 [1,5,7,2,3,4,6]=>14 [1,5,7,6,4,3,2]=>8 [1,6,2,3,4,7,5]=>16 [1,6,2,3,7,4,5]=>15 [1,6,2,7,3,4,5]=>14 [1,6,5,4,3,7,2]=>10 [1,6,5,4,7,3,2]=>9 [1,6,5,7,4,3,2]=>8 [1,6,7,2,3,4,5]=>13 [1,6,7,5,4,3,2]=>7 [1,7,2,3,4,5,6]=>16 [1,7,3,5,6,4,2]=>10 [1,7,3,6,5,4,2]=>9 [1,7,4,3,6,5,2]=>10 [1,7,4,5,3,6,2]=>10 [1,7,4,5,6,3,2]=>9 [1,7,4,6,5,3,2]=>8 [1,7,5,4,3,6,2]=>9 [1,7,5,4,6,3,2]=>8 [1,7,6,4,5,3,2]=>7 [1,7,6,5,4,3,2]=>6 [2,1,3,4,5,6,7]=>20 [2,1,3,4,7,5,6]=>18 [2,1,3,7,4,5,6]=>17 [2,1,6,3,4,5,7]=>17 [2,1,7,3,4,5,6]=>16 [2,1,7,6,5,4,3]=>10 [2,3,1,4,5,6,7]=>19 [2,3,4,1,5,6,7]=>18 [2,3,4,1,5,7,6]=>17 [2,3,4,5,1,6,7]=>17 [2,3,4,5,1,7,6]=>16 [2,3,4,5,6,1,7]=>16 [2,3,4,5,6,7,1]=>15 [2,3,4,5,7,1,6]=>15 [2,3,4,6,1,7,5]=>15 [2,3,4,6,7,1,5]=>14 [2,3,4,7,1,5,6]=>15 [2,3,5,6,7,1,4]=>13 [2,4,1,3,5,6,7]=>18 [2,5,1,3,4,6,7]=>17 [2,5,7,1,3,4,6]=>13 [2,6,1,3,4,5,7]=>16 [2,6,1,7,3,4,5]=>13 [2,6,5,4,3,1,7]=>10 [2,6,7,1,3,4,5]=>12 [2,7,1,3,4,5,6]=>15 [3,1,2,4,5,6,7]=>19 [3,1,2,4,5,7,6]=>18 [3,2,1,4,5,6,7]=>18 [3,2,4,5,6,7,1]=>14 [3,4,1,2,5,6,7]=>17 [3,4,2,5,6,7,1]=>13 [3,4,5,2,6,7,1]=>12 [3,4,5,6,2,7,1]=>11 [3,4,5,6,7,1,2]=>11 [3,5,6,1,2,4,7]=>13 [3,5,6,4,2,1,7]=>10 [3,6,1,2,4,5,7]=>15 [3,6,5,4,2,1,7]=>9 [4,1,2,3,5,6,7]=>18 [4,1,2,3,5,7,6]=>17 [4,1,6,2,3,5,7]=>15 [4,2,3,5,6,7,1]=>13 [4,2,5,1,3,6,7]=>15 [4,3,2,1,5,6,7]=>15 [4,3,2,5,6,7,1]=>12 [4,3,5,2,6,7,1]=>11 [4,3,6,5,2,1,7]=>10 [4,5,1,6,2,3,7]=>13 [4,5,2,3,6,7,1]=>11 [4,5,3,6,2,1,7]=>10 [4,5,6,1,2,3,7]=>12 [4,5,6,3,2,1,7]=>9 [4,6,1,2,3,5,7]=>14 [4,6,1,2,3,7,5]=>13 [4,6,5,3,2,1,7]=>8 [5,1,2,3,4,6,7]=>17 [5,1,2,3,4,7,6]=>16 [5,1,2,3,6,4,7]=>16 [5,1,2,3,6,7,4]=>15 [5,1,2,3,7,4,6]=>15 [5,1,2,6,3,4,7]=>15 [5,1,6,2,3,4,7]=>14 [5,1,6,2,3,7,4]=>13 [5,2,3,4,6,7,1]=>12 [5,2,6,7,1,3,4]=>10 [5,3,2,4,6,7,1]=>11 [5,3,2,6,1,4,7]=>12 [5,3,6,7,1,2,4]=>9 [5,4,3,2,1,6,7]=>11 [5,4,3,2,1,7,6]=>10 [5,4,3,2,6,1,7]=>10 [5,4,3,6,2,1,7]=>9 [5,4,6,3,2,1,7]=>8 [5,4,6,7,1,2,3]=>8 [5,6,1,2,3,4,7]=>13 [5,6,1,2,3,7,4]=>12 [5,6,3,4,1,2,7]=>9 [5,6,4,3,2,1,7]=>7 [5,6,7,1,2,3,4]=>9 [6,1,2,3,4,5,7]=>16 [6,1,2,3,4,7,5]=>15 [6,1,2,3,7,4,5]=>14 [6,1,2,7,3,4,5]=>13 [6,2,3,4,5,7,1]=>11 [6,2,4,5,3,1,7]=>10 [6,2,5,4,3,1,7]=>9 [6,3,2,5,4,1,7]=>10 [6,3,4,2,5,1,7]=>10 [6,3,4,5,2,1,7]=>9 [6,3,4,7,1,2,5]=>9 [6,3,5,4,2,1,7]=>8 [6,4,3,2,5,1,7]=>9 [6,4,3,2,7,1,5]=>8 [6,4,3,5,2,1,7]=>8 [6,4,5,7,1,2,3]=>7 [6,4,7,2,5,1,3]=>6 [6,4,7,3,5,1,2]=>5 [6,5,3,4,2,1,7]=>7 [6,5,4,3,2,1,7]=>6 [6,5,7,3,4,1,2]=>4 [6,7,1,2,3,4,5]=>11 [6,7,3,4,1,2,5]=>7 [6,7,4,5,1,2,3]=>5 [7,1,2,3,4,5,6]=>15 [7,2,1,3,4,5,6]=>14 [7,2,3,1,4,5,6]=>13 [7,2,3,4,1,5,6]=>12 [7,2,3,4,5,1,6]=>11 [7,3,1,2,4,5,6]=>13 [7,3,2,1,4,5,6]=>12 [7,3,2,4,1,5,6]=>11 [7,3,4,1,2,5,6]=>11 [7,4,1,2,3,5,6]=>12 [7,4,2,1,3,5,6]=>11 [7,4,5,6,1,2,3]=>6 [7,5,1,2,3,4,6]=>11 [7,5,6,1,2,3,4]=>7 [7,5,6,3,4,1,2]=>3 [7,6,1,2,3,4,5]=>10 [7,6,4,5,1,2,3]=>4 [7,6,5,1,2,3,4]=>6 [7,6,5,3,4,1,2]=>2 [7,6,5,4,1,2,3]=>3 [7,6,5,4,3,1,2]=>1 [7,6,5,4,3,2,1]=>0 [8,7,6,5,4,3,2,1]=>0 [7,6,8,5,4,3,2,1]=>2 [7,8,5,6,4,3,2,1]=>2 [7,8,6,4,5,3,2,1]=>2 [8,6,7,4,5,3,2,1]=>2 [7,6,5,4,8,3,2,1]=>4 [6,5,7,4,8,3,2,1]=>6 [7,8,6,5,3,4,2,1]=>2 [8,6,7,5,3,4,2,1]=>2 [8,7,5,6,3,4,2,1]=>2 [6,7,8,3,4,5,2,1]=>6 [7,8,6,5,4,2,3,1]=>2 [8,6,7,5,4,2,3,1]=>2 [8,7,5,6,4,2,3,1]=>2 [8,7,6,4,5,2,3,1]=>2 [8,6,5,7,3,2,4,1]=>4 [6,7,8,5,2,3,4,1]=>6 [8,5,6,7,2,3,4,1]=>6 [7,8,3,2,4,5,6,1]=>10 [7,6,5,4,3,2,8,1]=>6 [6,5,7,4,3,2,8,1]=>8 [6,5,4,3,7,2,8,1]=>10 [5,4,6,3,7,2,8,1]=>12 [3,4,5,2,6,7,8,1]=>18 [5,2,3,4,6,7,8,1]=>18 [4,3,2,5,6,7,8,1]=>18 [3,4,2,5,6,7,8,1]=>19 [4,2,3,5,6,7,8,1]=>19 [3,2,4,5,6,7,8,1]=>20 [2,3,4,5,6,7,8,1]=>21 [8,7,6,5,4,3,1,2]=>1 [7,8,6,5,4,3,1,2]=>2 [8,6,7,5,4,3,1,2]=>2 [8,7,5,6,4,3,1,2]=>2 [8,7,6,4,5,3,1,2]=>2 [8,7,6,5,3,4,1,2]=>2 [8,7,5,6,3,4,1,2]=>3 [7,8,5,6,3,4,1,2]=>4 [5,6,7,8,3,4,1,2]=>8 [7,8,3,4,5,6,1,2]=>8 [3,4,5,6,7,8,1,2]=>16 [8,7,6,5,4,2,1,3]=>2 [7,6,8,5,4,2,1,3]=>4 [8,7,6,5,4,1,2,3]=>3 [6,7,8,5,4,1,2,3]=>6 [8,5,6,7,4,1,2,3]=>6 [8,7,6,4,5,1,2,3]=>4 [8,6,7,4,5,1,2,3]=>5 [8,7,4,5,6,1,2,3]=>6 [7,8,4,5,6,1,2,3]=>7 [6,7,4,5,8,1,2,3]=>9 [7,6,5,8,3,2,1,4]=>6 [7,5,6,8,2,3,1,4]=>8 [6,7,5,8,3,1,2,4]=>8 [6,5,7,8,2,1,3,4]=>10 [8,7,6,5,1,2,3,4]=>6 [8,7,5,6,1,2,3,4]=>7 [7,8,5,6,1,2,3,4]=>8 [8,5,6,7,1,2,3,4]=>9 [5,6,7,8,1,2,3,4]=>12 [8,7,6,4,3,2,1,5]=>4 [8,7,6,4,2,1,3,5]=>6 [8,7,6,1,2,3,4,5]=>10 [8,6,7,1,2,3,4,5]=>11 [6,7,8,1,2,3,4,5]=>13 [7,8,5,4,2,1,3,6]=>8 [7,8,5,4,1,2,3,6]=>9 [8,7,1,2,3,4,5,6]=>15 [7,8,1,2,3,4,5,6]=>16 [8,6,5,4,3,2,1,7]=>6 [8,6,5,4,3,1,2,7]=>7 [8,5,6,3,4,1,2,7]=>9 [8,6,5,4,2,1,3,7]=>8 [8,6,4,3,2,1,5,7]=>10 [8,6,4,2,1,3,5,7]=>12 [8,2,3,4,1,5,6,7]=>18 [8,4,1,2,3,5,6,7]=>18 [8,3,2,1,4,5,6,7]=>18 [8,2,3,1,4,5,6,7]=>19 [8,3,1,2,4,5,6,7]=>19 [8,2,1,3,4,5,6,7]=>20 [8,1,2,3,4,5,6,7]=>21 [7,6,5,4,3,2,1,8]=>7 [6,7,5,4,3,2,1,8]=>8 [6,5,7,4,3,2,1,8]=>9 [5,6,7,4,3,2,1,8]=>10 [7,6,4,5,3,2,1,8]=>8 [6,5,4,7,3,2,1,8]=>10 [7,5,6,3,4,2,1,8]=>9 [7,6,4,3,5,2,1,8]=>9 [7,6,3,4,5,2,1,8]=>10 [7,5,4,3,6,2,1,8]=>10 [6,7,5,4,2,3,1,8]=>9 [6,5,7,3,2,4,1,8]=>11 [5,6,7,2,3,4,1,8]=>13 [2,3,4,5,6,7,1,8]=>22 [5,6,7,1,2,3,4,8]=>16 [6,7,1,2,3,4,5,8]=>18 [7,1,2,3,4,5,6,8]=>22 [6,5,4,3,2,1,7,8]=>13 [2,3,4,5,6,1,7,8]=>23 [5,6,3,4,1,2,7,8]=>16 [4,5,6,1,2,3,7,8]=>19 [6,1,2,3,4,5,7,8]=>23 [5,4,3,2,1,6,7,8]=>18 [2,3,4,5,1,6,7,8]=>24 [5,1,2,3,4,6,7,8]=>24 [4,3,2,1,5,6,7,8]=>22 [3,4,1,2,5,6,7,8]=>24 [3,2,1,4,5,6,7,8]=>25 [2,1,3,4,5,6,7,8]=>27 [1,2,3,4,5,6,7,8]=>28 [6,5,8,7,4,3,2,1]=>4 [3,5,8,7,6,4,2,1]=>8 [4,3,6,5,8,7,2,1]=>12 [2,6,8,7,5,4,3,1]=>8 [2,3,5,6,8,7,4,1]=>16 [3,2,6,5,4,8,7,1]=>16 [4,3,6,5,7,2,8,1]=>14 [3,2,6,5,7,4,8,1]=>16 [4,3,5,2,7,6,8,1]=>16 [3,2,5,4,7,6,8,1]=>18 [1,8,7,6,5,4,3,2]=>7 [1,7,8,6,5,4,3,2]=>8 [1,6,8,7,5,4,3,2]=>9 [1,7,6,8,5,4,3,2]=>9 [1,6,7,8,5,4,3,2]=>10 [1,5,8,7,6,4,3,2]=>10 [1,7,6,5,8,4,3,2]=>10 [1,3,5,7,8,6,4,2]=>16 [1,4,3,8,7,6,5,2]=>15 [1,6,5,4,3,8,7,2]=>15 [1,4,3,6,5,8,7,2]=>19 [2,1,8,7,6,5,4,3]=>12 [2,1,6,5,7,4,8,3]=>18 [2,1,5,4,7,6,8,3]=>20 [1,2,6,7,8,5,4,3]=>16 [3,2,1,8,7,6,5,4]=>15 [3,2,1,6,5,8,7,4]=>19 [1,2,3,5,6,7,8,4]=>24 [4,3,2,1,8,7,6,5]=>16 [3,4,2,1,7,8,6,5]=>18 [2,4,3,1,6,8,7,5]=>20 [2,4,3,1,7,6,8,5]=>20 [3,2,4,1,6,8,7,5]=>20 [3,2,4,1,7,6,8,5]=>20 [2,3,4,1,6,7,8,5]=>22 [2,1,4,3,8,7,6,5]=>20 [2,1,4,3,6,8,7,5]=>22 [2,1,4,3,7,6,8,5]=>22 [5,4,3,2,1,8,7,6]=>15 [3,2,5,4,1,8,7,6]=>19 [3,2,1,4,5,8,7,6]=>22 [2,3,1,4,5,7,8,6]=>24 [6,5,4,3,2,1,8,7]=>12 [4,3,5,2,6,1,8,7]=>18 [3,2,5,4,6,1,8,7]=>20 [2,3,4,5,6,1,8,7]=>22 [2,1,6,5,4,3,8,7]=>20 [2,1,4,6,5,3,8,7]=>22 [2,1,5,4,6,3,8,7]=>22 [4,3,2,1,6,5,8,7]=>20 [2,4,3,1,6,5,8,7]=>22 [3,2,4,1,6,5,8,7]=>22 [2,1,4,3,6,5,8,7]=>24 [2,1,3,4,5,6,8,7]=>26 [1,2,3,4,5,6,8,7]=>27 [5,7,6,4,3,2,1,8]=>9 [4,7,6,5,3,2,1,8]=>10 [3,2,7,6,5,4,1,8]=>15 [5,4,3,2,7,6,1,8]=>15 [3,2,5,4,7,6,1,8]=>19 [1,4,3,2,7,6,5,8]=>22 [1,3,4,2,6,7,5,8]=>24 [1,3,2,5,4,7,6,8]=>25 [1,2,3,5,4,7,6,8]=>26 [1,3,2,4,5,7,6,8]=>26 [1,2,3,4,5,7,6,8]=>27 [1,2,4,3,6,5,7,8]=>26 [1,3,2,5,4,6,7,8]=>26 [1,2,3,5,4,6,7,8]=>27 [1,3,2,4,5,6,7,8]=>27 [1,8,4,7,6,5,3,2]=>10 [1,8,5,4,7,6,3,2]=>11 [1,8,7,4,5,6,3,2]=>10 [1,8,7,4,6,5,3,2]=>9 [1,8,6,5,4,7,3,2]=>10 [1,8,7,5,4,6,3,2]=>9 [1,8,7,5,6,4,3,2]=>8 [2,1,4,5,8,6,7,3]=>20 [2,1,8,5,4,7,6,3]=>16 [2,3,4,8,5,6,7,1]=>18 [2,3,6,4,5,1,8,7]=>20 [2,3,7,4,5,6,8,1]=>18 [2,8,4,3,5,7,6,1]=>14 [4,2,3,1,8,6,7,5]=>18 [8,2,7,4,6,5,3,1]=>7 [4,3,2,7,5,6,8,1]=>16 [4,3,2,8,5,7,6,1]=>14 [6,3,2,5,4,1,8,7]=>16 [8,3,2,5,4,7,6,1]=>12 [8,3,2,7,6,5,4,1]=>8 [8,3,7,4,6,5,2,1]=>6 [7,3,6,5,4,2,1,8]=>10 [7,4,3,6,5,2,1,8]=>11 [7,6,3,5,4,2,1,8]=>9 [8,5,4,3,2,7,6,1]=>8 [8,7,4,3,6,5,2,1]=>4 [2,4,6,8,1,3,5,7]=>18 [2,4,6,1,7,3,8,5]=>19 [2,1,4,3,7,5,8,6]=>23 [2,4,1,3,7,5,8,6]=>22 [2,1,4,3,7,8,5,6]=>22 [2,4,7,8,1,3,5,6]=>17 [2,1,4,3,8,5,6,7]=>23 [2,4,5,6,7,1,8,3]=>18 [2,1,5,3,6,4,8,7]=>23 [2,1,5,6,3,4,8,7]=>22 [2,5,6,8,1,3,4,7]=>17 [2,1,5,3,7,4,8,6]=>22 [2,5,1,7,3,4,8,6]=>20 [2,1,5,7,3,8,4,6]=>20 [2,5,7,8,1,3,4,6]=>16 [2,3,5,6,1,7,8,4]=>20 [2,1,6,3,7,4,8,5]=>21 [2,6,7,1,3,4,8,5]=>18 [2,1,6,7,8,3,4,5]=>18 [2,6,7,8,1,3,4,5]=>15 [2,1,6,3,4,7,8,5]=>22 [2,1,6,3,4,5,8,7]=>23 [2,6,1,3,4,5,7,8]=>23 [2,7,8,1,3,4,5,6]=>17 [2,7,1,3,4,5,6,8]=>22 [2,3,4,5,7,8,1,6]=>20 [2,1,8,3,4,5,6,7]=>22 [2,8,1,3,4,5,6,7]=>21 [2,1,3,8,4,5,6,7]=>23 [2,3,4,5,6,8,1,7]=>21 [3,1,4,2,6,5,8,7]=>23 [3,4,1,2,6,5,8,7]=>22 [3,1,4,2,6,8,5,7]=>22 [3,4,6,8,1,2,5,7]=>17 [3,1,4,2,7,5,8,6]=>22 [3,4,1,2,7,8,5,6]=>20 [3,4,7,8,1,2,5,6]=>16 [3,1,5,2,6,4,8,7]=>22 [3,5,1,6,2,4,8,7]=>20 [3,1,5,6,2,8,4,7]=>20 [3,5,6,8,1,2,4,7]=>16 [3,1,5,2,7,4,8,6]=>21 [3,5,1,7,2,8,4,6]=>18 [3,5,7,8,1,2,4,6]=>15 [1,3,2,5,4,8,6,7]=>24 [1,3,5,8,2,4,6,7]=>21 [1,3,5,6,2,7,4,8]=>22 [3,1,6,2,7,4,8,5]=>20 [3,6,7,1,2,8,4,5]=>16 [3,6,1,7,8,2,4,5]=>16 [3,6,7,8,1,2,4,5]=>14 [1,3,2,6,4,7,5,8]=>24 [3,1,2,6,7,4,8,5]=>21 [1,3,2,6,4,8,5,7]=>23 [1,3,2,6,4,5,7,8]=>25 [1,3,2,7,4,8,5,6]=>22 [1,3,2,7,4,5,6,8]=>24 [1,3,2,8,4,5,6,7]=>23 [3,1,2,4,5,8,6,7]=>24 [1,3,2,4,5,8,6,7]=>25 [4,1,5,2,6,3,8,7]=>21 [4,5,6,1,2,3,8,7]=>18 [4,1,5,6,8,2,3,7]=>18 [4,5,6,8,1,2,3,7]=>15 [4,1,5,2,7,3,8,6]=>20 [4,1,5,2,7,8,3,6]=>19 [4,5,7,1,2,8,3,6]=>16 [4,5,1,7,8,2,3,6]=>16 [4,5,7,8,1,2,3,6]=>14 [1,4,2,5,3,7,6,8]=>24 [1,4,2,5,3,8,6,7]=>23 [1,4,2,5,3,6,7,8]=>25 [1,4,5,6,7,2,3,8]=>20 [4,1,6,2,7,3,8,5]=>19 [4,6,7,1,8,2,3,5]=>14 [4,6,7,8,1,2,3,5]=>13 [1,4,2,6,3,7,5,8]=>23 [1,4,2,6,7,8,3,5]=>20 [1,4,2,6,3,8,5,7]=>22 [4,1,2,3,6,5,8,7]=>23 [1,4,2,6,3,5,7,8]=>24 [1,4,2,7,3,8,5,6]=>21 [4,7,1,2,3,5,6,8]=>20 [1,4,2,7,3,5,6,8]=>23 [1,4,2,3,7,5,6,8]=>24 [1,4,2,3,5,7,6,8]=>25 [1,4,2,8,3,5,6,7]=>22 [4,1,2,3,8,5,6,7]=>22 [1,4,2,3,5,8,6,7]=>24 [1,4,2,3,5,6,7,8]=>26 [5,1,6,2,7,3,8,4]=>18 [1,5,2,6,3,7,4,8]=>22 [1,5,2,6,3,8,4,7]=>21 [1,5,2,6,3,4,7,8]=>23 [1,2,5,6,3,4,7,8]=>24 [1,5,2,7,3,8,4,6]=>20 [5,7,1,2,3,4,6,8]=>19 [1,5,2,7,3,4,6,8]=>22 [1,5,2,3,4,7,6,8]=>24 [5,1,2,8,3,4,6,7]=>20 [1,5,2,8,3,4,6,7]=>21 [1,5,8,2,3,4,6,7]=>20 [1,5,2,3,4,8,6,7]=>23 [1,2,3,5,4,8,6,7]=>25 [5,1,2,3,4,6,8,7]=>23 [1,5,2,3,4,6,7,8]=>25 [1,6,2,7,3,8,4,5]=>19 [1,6,7,8,2,3,4,5]=>16 [6,7,1,2,3,4,8,5]=>17 [6,1,7,2,3,4,5,8]=>19 [6,1,2,7,3,4,5,8]=>20 [1,6,2,7,3,4,5,8]=>21 [1,6,7,2,3,4,5,8]=>20 [1,6,2,3,4,7,5,8]=>23 [1,2,3,6,4,7,5,8]=>25 [6,1,8,2,3,4,5,7]=>18 [1,6,2,8,3,4,5,7]=>20 [1,6,8,2,3,4,5,7]=>19 [1,6,2,3,4,8,5,7]=>22 [1,2,3,6,4,8,5,7]=>24 [6,1,2,3,4,5,8,7]=>22 [1,6,2,3,4,5,7,8]=>24 [1,2,3,6,4,5,7,8]=>26 [1,7,2,8,3,4,5,6]=>19 [1,7,8,2,3,4,5,6]=>18 [1,7,2,3,8,4,5,6]=>20 [7,1,2,3,4,8,5,6]=>20 [1,7,2,3,4,8,5,6]=>21 [1,2,3,7,4,8,5,6]=>23 [7,1,2,3,4,5,8,6]=>21 [1,7,2,3,4,5,8,6]=>22 [1,2,7,3,4,5,8,6]=>23 [1,7,2,3,4,5,6,8]=>23 [1,2,3,7,4,5,6,8]=>25 [1,8,2,3,4,5,6,7]=>22 [1,2,3,8,4,5,6,7]=>24 [1,2,3,4,5,8,6,7]=>26 [5,3,2,6,1,4,8,7]=>18 [7,3,2,5,4,8,1,6]=>14 [8,4,5,2,3,7,6,1]=>10 [7,4,5,2,3,8,1,6]=>12 [6,4,5,2,3,1,8,7]=>14 [5,4,6,2,1,3,8,7]=>16 [3,6,1,5,4,2,8,7]=>18 [4,6,5,1,3,2,8,7]=>16 [5,6,4,3,1,2,8,7]=>14 [7,5,4,3,2,8,1,6]=>10 [8,6,4,3,7,2,5,1]=>6 [7,6,4,3,8,2,1,5]=>8 [6,7,4,3,8,1,2,5]=>10 [5,7,4,3,1,8,2,6]=>12 [4,7,5,1,3,8,2,6]=>14 [3,7,1,5,4,8,2,6]=>16 [2,1,7,5,4,8,3,6]=>18 [3,8,1,5,4,7,6,2]=>14 [4,8,5,1,3,7,6,2]=>12 [5,8,4,3,1,7,6,2]=>10 [6,8,4,3,7,1,5,2]=>8 [7,8,4,3,6,5,1,2]=>6 [6,8,5,7,3,1,4,2]=>6 [5,8,6,7,1,3,4,2]=>8 [4,8,6,1,7,3,5,2]=>10 [3,8,1,6,7,4,5,2]=>12 [2,1,8,6,7,4,5,3]=>14 [2,1,7,6,8,4,3,5]=>16 [3,7,1,6,8,4,2,5]=>14 [4,7,6,1,8,3,2,5]=>12 [5,7,6,8,1,3,2,4]=>10 [5,4,7,2,1,8,3,6]=>14 [6,4,7,2,8,1,3,5]=>12 [7,4,6,2,8,3,1,5]=>10 [8,4,6,2,7,3,5,1]=>8 [8,3,2,6,7,4,5,1]=>10 [7,3,2,6,8,4,1,5]=>12 [6,3,2,7,8,1,4,5]=>14 [5,3,2,7,1,8,4,6]=>16 [4,3,2,1,7,8,5,6]=>18 [3,4,1,2,8,7,6,5]=>18 [5,3,2,8,1,7,6,4]=>14 [6,3,2,8,7,1,5,4]=>12 [7,3,2,8,6,5,1,4]=>10 [8,4,7,2,6,5,3,1]=>6 [7,4,8,2,6,5,1,3]=>8 [6,4,8,2,7,1,5,3]=>10 [5,4,8,2,1,7,6,3]=>12 [4,5,8,1,2,7,6,3]=>14 [3,5,1,8,2,7,6,4]=>16 [2,1,5,8,3,7,6,4]=>18 [2,1,6,8,7,3,5,4]=>16 [3,6,1,8,7,2,5,4]=>14 [4,6,8,1,7,2,5,3]=>12 [5,6,8,7,1,2,4,3]=>10 [6,5,8,7,2,1,4,3]=>8 [7,5,8,6,2,4,1,3]=>6 [8,5,7,6,2,4,3,1]=>4 [5,7,8,6,1,4,2,3]=>8 [4,7,8,1,6,5,2,3]=>10 [3,7,1,8,6,5,2,4]=>12 [2,1,7,8,6,5,3,4]=>14 [3,8,1,7,6,5,4,2]=>10 [4,8,7,1,6,5,3,2]=>8 [5,8,7,6,1,4,3,2]=>6 [6,8,7,5,4,1,3,2]=>4 [4,2,5,1,3,6,7,8]=>22 [5,2,6,7,1,3,4,8]=>17 [3,2,7,8,1,4,5,6]=>17 [5,3,2,6,1,4,7,8]=>19 [7,4,3,8,1,2,5,6]=>13 [4,7,3,6,8,1,2,5]=>12 [6,7,3,4,8,1,2,5]=>11 [5,4,2,7,8,1,3,6]=>14 [6,4,7,2,5,1,3,8]=>13 [6,4,3,2,7,1,5,8]=>15 [5,4,3,2,8,1,6,7]=>15 [7,5,3,8,2,6,1,4]=>9 [8,5,4,7,2,6,1,3]=>7 [8,5,4,7,3,6,1,2]=>6 [8,1,2,7,6,3,4,5]=>14 [8,1,4,2,6,3,5,7]=>17 [8,3,1,2,4,7,5,6]=>17 [8,3,1,5,6,2,4,7]=>15 [6,3,8,1,2,7,4,5]=>14 [7,8,4,1,6,2,3,5]=>10 [8,3,4,1,6,7,2,5]=>13 [2,7,6,5,1,3,8,4]=>14 [8,3,6,5,1,7,2,4]=>10 [4,6,7,3,8,5,1,2]=>10 [3,5,2,7,1,8,6,4]=>16 [4,6,7,2,8,1,5,3]=>12 [5,6,7,8,2,1,4,3]=>10 [6,5,8,7,3,4,1,2]=>6 [3,6,7,4,5,8,1,2]=>12 [2,6,7,4,5,1,8,3]=>14 [1,6,7,4,5,2,3,8]=>16 [1,5,4,7,6,2,3,8]=>18 [2,5,4,7,6,1,8,3]=>16 [3,5,4,7,6,8,1,2]=>14 [4,5,3,7,8,6,1,2]=>12 [5,4,3,8,7,6,1,2]=>10 [6,4,8,3,7,5,1,2]=>8 [6,3,8,4,5,7,1,2]=>10 [5,3,4,8,6,7,1,2]=>12 [4,3,5,6,8,7,1,2]=>14 [3,2,5,6,1,8,7,4]=>18 [4,2,5,6,8,1,7,3]=>16 [5,2,4,8,6,1,7,3]=>14 [6,2,8,4,5,1,7,3]=>12 [7,8,2,4,5,1,6,3]=>10 [7,8,1,4,5,2,3,6]=>12 [6,1,8,4,5,2,3,7]=>14 [5,1,4,8,6,2,3,7]=>16 [4,1,3,2,8,6,5,7]=>20 [5,1,3,8,2,6,4,7]=>18 [6,1,8,3,2,5,4,7]=>16 [7,8,1,3,2,5,4,6]=>14 [7,8,2,3,1,5,6,4]=>12 [6,2,8,3,1,5,7,4]=>14 [5,2,3,8,1,6,7,4]=>16 [6,3,8,2,1,7,5,4]=>12 [7,8,3,2,1,6,5,4]=>10 [7,8,4,2,6,1,5,3]=>8 [5,4,2,8,7,1,6,3]=>12 [4,5,2,7,8,1,6,3]=>14 [2,5,3,7,1,6,8,4]=>18 [1,5,3,7,2,6,4,8]=>20 [1,6,7,3,2,5,4,8]=>18 [2,6,7,3,1,5,8,4]=>16 [3,6,7,2,1,8,5,4]=>14 [7,8,5,6,2,1,4,3]=>6 [6,5,8,7,1,2,3,4]=>10 [5,4,1,8,7,2,3,6]=>14 [6,4,8,1,7,2,3,5]=>12 [7,8,3,1,2,6,4,5]=>12 [5,3,1,8,2,7,4,6]=>16 [4,3,1,2,8,7,5,6]=>18 [4,2,1,3,8,5,7,6]=>20 [5,2,1,8,3,4,7,6]=>18 [6,2,8,1,3,4,7,5]=>16 [7,8,2,1,3,4,6,5]=>14 [6,3,1,5,2,4,8,7]=>18 [2,1,8,5,3,7,4,6]=>18 [8,2,6,1,4,3,7,5]=>14 [4,7,1,5,8,3,2,6]=>14 [8,6,1,3,4,2,5,7]=>14 [8,1,2,4,5,6,3,7]=>18 [8,2,5,1,3,6,4,7]=>16 [4,1,5,3,7,2,8,6]=>19 [5,2,7,1,3,8,4,6]=>17 [5,3,1,7,8,2,4,6]=>16 [1,7,3,4,2,5,8,6]=>20 [4,7,2,1,3,5,8,6]=>18 [4,5,2,3,7,6,1,8]=>17 [6,4,3,7,2,5,1,8]=>13 [8,4,3,6,5,1,2,7]=>11 [1,5,6,3,4,8,7,2]=>17 [4,6,2,7,3,5,1,8]=>15 [3,2,6,7,4,5,1,8]=>17 [4,7,2,6,5,3,1,8]=>13 [5,7,6,2,4,3,1,8]=>11 [1,7,5,4,8,3,6,2]=>13 [8,7,5,4,1,3,2,6]=>7 [6,8,5,4,2,1,3,7]=>9 [5,8,6,2,4,1,3,7]=>11 [4,8,2,6,5,1,3,7]=>13 [3,2,8,6,5,1,4,7]=>15 [4,1,2,6,5,8,7,3]=>19 [5,1,6,2,4,8,7,3]=>17 [6,1,5,4,2,8,7,3]=>15 [7,1,5,4,8,2,6,3]=>13 [8,1,5,4,7,6,2,3]=>11 [1,8,6,7,4,5,3,2]=>9 [8,1,6,7,4,5,2,3]=>9 [7,1,6,8,4,2,5,3]=>11 [6,1,7,8,2,4,5,3]=>13 [5,1,7,2,8,4,6,3]=>15 [4,1,2,7,8,5,6,3]=>17 [3,2,1,7,8,5,6,4]=>17 [3,2,8,7,1,5,4,6]=>15 [4,8,2,7,1,5,3,6]=>13 [5,8,7,2,1,4,3,6]=>11 [6,8,7,1,2,4,3,5]=>11 [7,8,6,1,4,2,3,5]=>9 [8,7,6,1,4,3,2,5]=>7 [1,7,6,8,4,3,5,2]=>11 [1,6,7,8,3,4,5,2]=>13 [8,6,7,1,3,4,2,5]=>9 [7,6,8,1,3,2,4,5]=>11 [5,7,8,2,1,3,4,6]=>13 [4,7,2,8,1,3,5,6]=>15 [3,2,6,8,4,1,5,7]=>17 [4,6,2,8,3,1,5,7]=>15 [5,6,8,2,3,1,4,7]=>13 [6,5,8,3,2,1,4,7]=>11 [7,5,8,3,1,2,4,6]=>11 [8,5,7,3,1,4,2,6]=>9 [1,5,7,3,8,4,6,2]=>15 [1,4,3,7,8,5,6,2]=>17 [8,4,3,7,1,5,2,6]=>11 [6,4,3,8,2,1,5,7]=>13 [4,5,2,3,8,1,6,7]=>17 [3,2,5,4,8,1,6,7]=>19 [4,5,2,3,1,8,7,6]=>17 [6,4,3,1,2,8,7,5]=>15 [7,4,3,1,8,2,6,5]=>13 [8,4,3,1,7,6,2,5]=>11 [1,5,8,3,7,6,4,2]=>13 [8,5,1,3,7,6,2,4]=>11 [7,5,1,3,8,2,6,4]=>13 [6,5,1,3,2,8,7,4]=>15 [5,6,1,2,3,8,7,4]=>17 [4,6,2,1,3,8,7,5]=>17 [3,2,6,1,4,8,7,5]=>19 [3,2,7,1,8,4,6,5]=>17 [4,7,2,1,8,3,6,5]=>15 [5,7,1,2,8,3,6,4]=>15 [6,7,1,8,2,3,5,4]=>13 [7,6,1,8,3,2,5,4]=>11 [8,6,1,7,3,5,2,4]=>9 [1,6,8,7,3,5,4,2]=>11 [1,7,8,6,5,3,4,2]=>9 [8,7,1,6,5,3,2,4]=>7 [7,8,1,6,5,2,3,4]=>9 [6,8,1,7,2,5,3,4]=>11 [5,8,1,2,7,6,3,4]=>13 [4,8,2,1,7,6,3,5]=>13 [3,2,8,1,7,6,4,5]=>15 [4,1,2,8,7,6,5,3]=>15 [5,1,8,2,7,6,4,3]=>13 [6,1,8,7,2,5,4,3]=>11 [7,1,8,6,5,2,4,3]=>9 [8,1,7,6,5,4,2,3]=>7 [1,4,3,8,7,5,6,2]=>16 [4,1,2,8,7,5,6,3]=>16 [3,2,5,1,6,4,8,7]=>21 [3,2,5,4,7,1,8,6]=>19 [4,2,5,3,7,6,8,1]=>17 [4,2,5,3,7,1,8,6]=>18 [4,2,5,3,6,1,8,7]=>19 [4,2,5,1,6,3,8,7]=>20 [3,1,5,4,6,2,8,7]=>21 [4,1,5,3,6,2,8,7]=>20 [4,3,5,1,6,2,8,7]=>19 [4,3,5,2,7,1,8,6]=>17 [4,3,6,2,7,5,8,1]=>15 [4,3,6,2,7,1,8,5]=>16 [4,3,6,1,7,2,8,5]=>17 [4,3,5,1,7,2,8,6]=>18 [3,1,5,4,7,2,8,6]=>20 [2,1,5,4,7,3,8,6]=>21 [3,1,5,4,7,6,8,2]=>19 [4,1,5,3,7,6,8,2]=>18 [4,3,5,1,7,6,8,2]=>17 [4,3,6,1,7,5,8,2]=>16 [4,3,6,5,7,1,8,2]=>15 [5,3,6,4,7,2,8,1]=>13 [5,3,6,4,7,1,8,2]=>14 [5,3,6,1,7,4,8,2]=>15 [5,1,6,3,7,4,8,2]=>16 [4,1,6,3,7,5,8,2]=>17 [3,1,6,4,7,5,8,2]=>18 [2,1,6,4,7,5,8,3]=>19 [2,1,6,4,7,3,8,5]=>20 [3,1,6,4,7,2,8,5]=>19 [4,1,6,3,7,2,8,5]=>18 [5,1,6,3,7,2,8,4]=>17 [5,3,6,1,7,2,8,4]=>16 [5,3,6,2,7,1,8,4]=>15 [5,3,6,2,7,4,8,1]=>14 [5,2,6,3,7,4,8,1]=>15 [5,2,6,3,7,1,8,4]=>16 [5,2,6,1,7,3,8,4]=>17 [4,2,5,1,7,3,8,6]=>19 [4,2,6,1,7,3,8,5]=>18 [4,2,6,3,7,1,8,5]=>17 [4,2,6,3,7,5,8,1]=>16 [3,2,6,4,7,5,8,1]=>17 [3,2,6,4,7,1,8,5]=>18 [3,2,6,1,7,4,8,5]=>19 [3,2,5,1,7,4,8,6]=>20 [3,2,4,1,7,5,8,6]=>21 [3,1,4,2,7,6,8,5]=>21 [3,2,5,1,7,6,8,4]=>19 [3,2,6,1,7,5,8,4]=>18 [3,2,6,5,7,1,8,4]=>17 [4,2,6,5,7,3,8,1]=>15 [4,2,6,5,7,1,8,3]=>16 [4,2,6,1,7,5,8,3]=>17 [4,2,5,1,7,6,8,3]=>18 [4,1,5,2,7,6,8,3]=>19 [3,1,5,2,7,6,8,4]=>20 [2,1,5,3,7,6,8,4]=>21 [2,1,6,3,7,5,8,4]=>20 [3,1,6,2,7,5,8,4]=>19 [4,1,6,2,7,5,8,3]=>18 [5,1,6,2,7,4,8,3]=>17 [5,2,6,1,7,4,8,3]=>16 [5,2,6,4,7,1,8,3]=>15 [5,2,6,4,7,3,8,1]=>14 [5,4,6,2,7,3,8,1]=>13 [5,4,6,2,7,1,8,3]=>14 [5,4,6,1,7,2,8,3]=>15 [5,1,6,4,7,2,8,3]=>16 [4,1,6,5,7,2,8,3]=>17 [3,1,6,5,7,2,8,4]=>18 [2,1,6,5,7,3,8,4]=>19 [3,1,6,5,7,4,8,2]=>17 [4,1,6,5,7,3,8,2]=>16 [5,1,6,4,7,3,8,2]=>15 [5,4,6,1,7,3,8,2]=>14 [5,4,6,3,7,1,8,2]=>13 [8,3,5,2,1,6,4,7]=>14 [8,6,3,5,2,4,1,7]=>9 [3,7,5,2,4,1,8,6]=>15 [8,3,7,5,2,4,6,1]=>8 [8,2,4,5,7,3,6,1]=>11 [2,4,5,7,3,1,8,6]=>18 [8,2,4,6,5,3,1,7]=>12 [8,2,5,4,6,1,3,7]=>13 [8,6,3,5,1,4,2,7]=>10 [8,6,1,4,5,3,2,7]=>11 [8,1,5,6,4,3,2,7]=>12 [5,7,4,3,2,1,8,6]=>12 [8,5,7,4,3,2,6,1]=>5 [4,6,8,3,2,7,5,1]=>10 [4,7,6,3,2,8,1,5]=>11 [1,4,6,7,3,2,8,5]=>18 [5,4,7,3,1,8,2,6]=>13 [1,7,4,5,3,2,8,6]=>17 [3,7,5,1,4,2,8,6]=>16 [5,7,4,2,1,3,8,6]=>14 [8,5,7,4,2,1,6,3]=>7 [8,3,7,5,1,4,6,2]=>9 [8,4,1,7,5,3,6,2]=>10 [4,6,3,8,7,1,5,2]=>11 [1,7,4,8,6,3,5,2]=>12 [8,4,7,6,3,5,2,1]=>4 [3,6,5,8,7,4,1,2]=>10 [3,1,5,8,6,7,4,2]=>15 [4,8,1,6,7,3,5,2]=>11 [3,6,4,1,8,7,5,2]=>14 [8,2,6,1,4,7,5,3]=>12 [2,7,6,8,1,4,3,5]=>13 [3,7,1,6,4,8,2,5]=>15 [1,7,3,5,6,8,2,4]=>16 [1,3,6,7,5,8,2,4]=>17 [3,7,6,5,8,2,1,4]=>10 [3,6,8,5,7,2,4,1]=>9 [2,3,5,7,6,8,1,4]=>17 [2,1,6,5,7,8,3,4]=>18 [4,2,7,6,8,3,1,5]=>13 [4,2,6,8,7,3,5,1]=>12 [3,8,2,4,6,7,5,1]=>13 [3,7,2,6,4,8,1,5]=>14 [3,2,6,1,4,7,8,5]=>20 [5,3,7,2,1,8,4,6]=>15 [4,7,3,2,1,5,8,6]=>16 [8,7,6,1,3,4,2,5]=>8 [8,5,7,3,2,1,6,4]=>8 [8,3,6,7,2,1,5,4]=>9 [3,7,8,6,2,1,5,4]=>10 [8,7,6,3,5,2,4,1]=>3 [2,7,4,8,1,6,5,3]=>13 [4,6,8,2,1,7,5,3]=>12 [8,4,1,5,7,2,6,3]=>12 [8,5,3,7,1,6,2,4]=>9 [8,5,7,2,1,3,6,4]=>10 [8,2,6,7,1,3,5,4]=>11 [8,3,6,1,7,5,2,4]=>10 [4,6,1,8,7,2,5,3]=>13 [8,1,2,5,6,7,4,3]=>14 [8,2,6,5,7,4,1,3]=>8 [2,1,7,8,5,6,4,3]=>14 [8,2,5,7,6,4,3,1]=>7 [2,7,6,8,5,4,1,3]=>9 [1,7,2,5,8,6,4,3]=>15 [1,7,4,8,2,6,5,3]=>14 [3,7,8,1,6,5,2,4]=>11 [2,7,8,6,1,3,5,4]=>12 [8,7,6,3,5,1,4,2]=>4 [8,4,7,6,5,1,3,2]=>5 [8,7,1,5,6,4,3,2]=>6 [8,1,6,7,5,4,3,2]=>7 [5,4,3,6,1,2,8,7]=>16 [2,7,6,4,5,8,1,3]=>12 [5,7,3,6,1,8,2,4]=>12 [2,1,7,6,5,8,3,4]=>16 [6,4,3,5,8,1,7,2]=>12 [7,3,5,4,8,6,1,2]=>10 [5,4,3,2,7,1,8,6]=>15 [4,3,6,2,8,7,5,1]=>13 [4,3,7,6,2,1,8,5]=>14 [6,4,3,1,7,2,8,5]=>15 [4,3,7,1,8,6,5,2]=>13 [5,3,8,7,6,4,2,1]=>7 [7,5,3,1,8,6,4,2]=>10 [1,8,6,5,3,7,4,2]=>11 [6,1,7,5,3,2,8,4]=>14 [7,6,5,3,2,1,8,4]=>9 [6,5,3,2,8,7,4,1]=>10 [5,2,6,3,8,7,4,1]=>13 [5,2,7,6,3,1,8,4]=>14 [6,5,2,1,7,3,8,4]=>15 [5,2,7,1,8,6,4,3]=>13 [6,2,8,7,5,4,3,1]=>7 [7,6,2,1,8,5,4,3]=>10 [6,1,7,2,8,5,4,3]=>13 [7,1,8,6,5,4,3,2]=>7 [4,5,2,6,3,1,8,7]=>17 [6,5,2,1,4,3,8,7]=>16 [6,5,2,7,4,8,3,1]=>10 [8,5,2,7,4,1,6,3]=>9 [8,3,7,5,2,1,6,4]=>9 [6,3,7,5,2,8,4,1]=>10 [3,1,6,5,4,2,8,7]=>19 [5,6,3,2,4,1,8,7]=>15 [3,6,2,4,1,5,8,7]=>19 [2,6,1,3,5,4,8,7]=>21 [6,7,2,3,4,8,5,1]=>12 [8,7,2,3,4,1,6,5]=>11 [5,1,7,3,8,4,6,2]=>14 [2,5,7,3,8,6,4,1]=>13 [7,6,1,3,5,8,4,2]=>11 [3,6,7,4,1,8,5,2]=>13 [5,6,3,7,4,8,1,2]=>11 [2,1,6,7,4,8,5,3]=>17 [2,1,8,7,4,3,6,5]=>16 [5,8,3,7,4,2,6,1]=>8 [3,8,7,4,1,2,6,5]=>12 [7,8,1,3,5,2,6,4]=>12 [5,8,7,3,2,6,1,4]=>8 [2,8,6,3,1,5,7,4]=>14 [8,1,6,3,2,5,4,7]=>15 [2,8,4,1,6,3,7,5]=>16 [4,8,1,2,7,6,3,5]=>14 [3,8,4,2,5,7,1,6]=>14 [6,8,3,5,2,7,4,1]=>8 [2,1,5,3,8,7,6,4]=>19 [6,5,3,2,8,7,1,4]=>11 [7,5,2,4,8,1,6,3]=>11 [3,4,2,8,5,7,6,1]=>15 [2,4,1,8,7,6,5,3]=>15 [8,4,2,1,7,5,3,6]=>13 [4,3,1,8,6,7,5,2]=>14 [3,1,4,8,6,5,7,2]=>17 [7,1,6,5,4,8,2,3]=>11 [3,7,5,6,8,4,2,1]=>9 [5,7,1,6,8,2,4,3]=>12 [8,6,2,5,1,7,4,3]=>9 [5,6,2,1,8,7,3,4]=>14 [4,6,2,5,8,3,7,1]=>13 [7,5,2,6,3,8,1,4]=>11 [4,1,2,3,6,8,7,5]=>21 [2,4,3,1,8,5,6,7]=>21 [7,5,2,8,3,4,6,1]=>10 [5,6,2,8,4,3,1,7]=>12 [4,7,2,8,1,5,3,6]=>14 [8,7,2,1,4,5,6,3]=>11 [3,6,8,7,1,5,4,2]=>10 [5,7,8,6,3,4,1,2]=>6 [7,1,8,5,4,3,6,2]=>10 [2,7,8,4,5,3,6,1]=>11 [5,7,3,8,1,4,6,2]=>11 [2,1,7,8,5,4,6,3]=>15 [2,1,5,8,4,6,3,7]=>19 [6,5,3,8,4,1,2,7]=>11 [7,5,8,4,3,6,2,1]=>5 [2,4,8,3,5,6,1,7]=>17 [4,1,8,3,6,5,2,7]=>16 [3,4,8,1,7,2,5,6]=>16 [8,4,1,3,7,2,6,5]=>13 [3,1,8,2,4,7,6,5]=>18 [2,3,8,1,4,6,7,5]=>19 [4,3,8,2,5,1,7,6]=>15 [6,3,8,4,2,5,7,1]=>11 [7,4,3,8,2,5,1,6]=>11 [2,1,4,8,3,5,7,6]=>21 [6,8,2,4,3,5,1,7]=>12 [4,8,2,3,5,1,6,7]=>16 [3,8,2,1,4,6,5,7]=>18 [2,8,1,3,4,5,7,6]=>20 [7,1,6,8,4,3,2,5]=>11 [7,1,6,5,8,3,2,4]=>11 [3,7,6,1,4,8,2,5]=>14 [2,7,8,4,1,6,5,3]=>12 [3,6,4,5,7,2,8,1]=>14 [1,8,2,7,3,4,5,6]=>18 [3,2,1,5,8,4,6,7]=>21 [5,4,3,2,1,8,6,7]=>16 [1,8,2,4,3,5,6,7]=>21 [1,7,2,4,3,5,6,8]=>22 [1,6,2,4,3,5,7,8]=>23 [1,5,2,4,3,6,7,8]=>24 [1,6,2,5,3,4,7,8]=>22 [1,7,2,5,3,4,6,8]=>21 [1,8,2,5,3,4,6,7]=>20 [1,8,2,6,3,4,5,7]=>19 [1,7,2,6,3,4,5,8]=>20 [1,8,2,7,3,5,4,6]=>17 [1,7,2,8,3,5,4,6]=>18 [1,6,2,8,3,5,4,7]=>19 [1,5,2,8,3,6,4,7]=>20 [1,4,2,8,3,6,5,7]=>21 [1,3,2,8,4,6,5,7]=>22 [1,2,3,8,4,6,5,7]=>23 [1,2,3,7,4,6,5,8]=>24 [1,3,2,7,4,6,5,8]=>23 [1,4,2,7,3,6,5,8]=>22 [1,5,2,7,3,6,4,8]=>21 [1,6,2,7,3,5,4,8]=>20 [1,7,2,6,3,5,4,8]=>19 [1,8,2,6,3,5,4,7]=>18 [1,8,2,5,3,6,4,7]=>19 [1,7,2,5,3,6,4,8]=>20 [1,6,2,5,3,7,4,8]=>21 [1,5,2,4,3,7,6,8]=>23 [1,6,2,4,3,7,5,8]=>22 [1,7,2,4,3,6,5,8]=>21 [1,8,2,4,3,6,5,7]=>20 [1,8,2,3,4,6,5,7]=>21 [1,7,2,3,4,6,5,8]=>22 [1,8,2,3,4,7,5,6]=>20 [1,8,2,4,3,7,5,6]=>19 [1,7,2,4,3,8,5,6]=>20 [1,6,2,4,3,8,5,7]=>21 [1,5,2,4,3,8,6,7]=>22 [1,6,2,5,3,8,4,7]=>20 [1,7,2,5,3,8,4,6]=>19 [1,8,2,5,3,7,4,6]=>18 [1,8,2,6,3,7,4,5]=>17 [1,7,2,6,3,8,4,5]=>18 [1,2,3,8,4,7,5,6]=>22 [1,3,2,8,4,7,5,6]=>21 [1,4,2,8,3,7,5,6]=>20 [1,5,2,8,3,7,4,6]=>19 [1,6,2,8,3,7,4,5]=>18 [1,7,2,8,3,6,4,5]=>17 [1,8,2,7,3,6,4,5]=>16 [6,7,8,1,4,3,2,5]=>10 [2,8,4,1,6,7,5,3]=>14 [4,8,5,7,1,6,2,3]=>10 [8,7,6,5,2,1,4,3]=>4 [8,3,1,5,4,7,2,6]=>14 [8,7,6,5,1,4,2,3]=>4 [7,5,1,3,8,4,2,6]=>13 [7,6,1,4,8,3,2,5]=>11 [7,1,3,5,8,2,4,6]=>16 [7,5,3,6,4,2,8,1]=>9 [8,2,6,3,4,7,5,1]=>11 [7,2,6,3,5,4,8,1]=>12 [6,2,7,4,3,5,8,1]=>13 [3,7,6,4,5,2,8,1]=>11 [2,7,6,5,3,4,8,1]=>12 [8,6,5,4,2,7,3,1]=>5 [6,5,8,4,2,7,3,1]=>7 [1,8,6,3,7,5,2,4]=>12 [8,7,5,2,6,4,3,1]=>4 [8,7,1,6,2,5,4,3]=>8 [1,7,2,8,5,3,4,6]=>17 [7,6,1,8,4,3,2,5]=>10 [8,6,1,7,4,2,5,3]=>9 [8,1,2,7,3,4,6,5]=>16 [7,1,2,8,3,5,4,6]=>17 [8,2,6,1,7,3,5,4]=>12 [4,7,5,6,8,3,2,1]=>8 [8,6,4,7,5,3,2,1]=>3 [5,4,8,1,7,2,6,3]=>12 [2,3,8,7,4,5,6,1]=>14 [7,2,8,6,4,3,5,1]=>8 [8,2,7,6,3,5,4,1]=>7 [8,1,7,6,5,2,4,3]=>8 [7,1,8,6,5,3,2,4]=>9 [1,2,8,7,6,3,4,5]=>16 [3,8,7,6,4,5,2,1]=>6 [2,8,7,6,5,3,4,1]=>7 [1,8,7,6,5,4,2,3]=>8 [3,8,6,7,1,5,2,4]=>10 [5,4,7,1,3,8,2,6]=>14 [5,6,2,1,4,8,3,7]=>16 [2,1,8,4,7,5,6,3]=>16 [4,1,3,2,8,5,6,7]=>21 [3,2,1,4,8,5,6,7]=>22 [1,8,4,2,5,3,6,7]=>19 [8,1,5,3,2,4,6,7]=>17 [3,8,1,5,2,4,6,7]=>18 [1,6,7,2,8,4,3,5]=>16 [6,7,1,4,2,8,3,5]=>14 [6,3,7,1,4,8,2,5]=>14 [3,7,8,1,5,2,4,6]=>14 [7,1,2,8,5,3,4,6]=>16 [1,7,2,8,4,5,3,6]=>17 [1,2,7,5,8,3,4,6]=>19 [2,8,1,7,4,3,6,5]=>15 [4,2,6,5,8,3,7,1]=>14 [5,2,4,7,3,6,8,1]=>15 [5,1,2,4,8,3,6,7]=>20 [4,3,6,1,5,8,2,7]=>17 [2,6,1,4,5,8,3,7]=>19 [2,5,3,4,1,8,6,7]=>20 [4,3,5,2,1,8,6,7]=>18 [3,1,6,7,5,8,2,4]=>16 [2,8,1,7,5,6,3,4]=>13 [5,3,6,8,4,7,2,1]=>10 [3,7,2,5,4,8,6,1]=>14 [8,4,2,5,7,3,6,1]=>10 [4,7,2,5,8,3,6,1]=>12 [5,2,6,8,4,3,7,1]=>12 [3,1,6,5,4,8,2,7]=>18 [4,1,6,5,8,3,2,7]=>16 [5,1,6,8,4,3,2,7]=>14 [8,5,4,7,6,3,2,1]=>4 [5,7,1,8,4,3,2,6]=>12 [2,7,1,5,4,3,8,6]=>18 [8,2,1,5,4,3,7,6]=>16 [8,4,1,5,7,3,2,6]=>12 [8,5,6,7,1,3,2,4]=>8 [8,4,6,1,7,3,2,5]=>10 [8,3,6,1,4,7,2,5]=>12 [2,7,6,1,4,3,8,5]=>16 [6,7,8,5,1,3,2,4]=>8 [5,7,6,8,2,3,4,1]=>8 [5,7,2,8,4,3,6,1]=>10 [6,7,8,2,4,3,5,1]=>8 [4,7,6,2,8,3,5,1]=>10 [8,3,6,2,4,7,5,1]=>10 [3,7,6,2,4,8,5,1]=>12 [5,7,3,8,4,6,2,1]=>8 [4,7,3,5,8,6,2,1]=>10 [8,7,2,1,4,3,6,5]=>12 [8,7,3,1,4,6,2,5]=>10 [8,7,6,3,2,5,4,1]=>4 [8,7,3,5,1,6,2,4]=>8 [8,7,2,5,1,3,6,4]=>10 [8,2,6,5,1,3,7,4]=>12 [8,4,6,5,7,1,2,3]=>8 [5,7,6,8,4,1,2,3]=>8 [4,7,6,5,8,1,2,3]=>10 [3,7,6,5,1,8,2,4]=>12 [2,6,5,7,3,4,8,1]=>14 [1,6,4,7,5,8,2,3]=>15 [8,5,3,6,2,7,4,1]=>8 [1,3,7,4,6,8,2,5]=>18 [4,7,5,6,3,2,8,1]=>10 [1,7,6,5,4,8,2,3]=>12 [8,1,6,5,7,2,4,3]=>10 [1,2,7,6,8,3,4,5]=>18 [6,1,7,5,3,8,2,4]=>13 [2,1,7,5,6,8,3,4]=>17 [5,4,1,7,6,8,2,3]=>14 [4,8,5,6,2,7,3,1]=>9 [3,8,6,4,2,7,5,1]=>10 [7,8,5,2,4,6,3,1]=>6 [2,8,6,3,7,4,5,1]=>11 [7,8,1,6,2,4,5,3]=>10 [6,8,1,4,7,2,5,3]=>11 [3,8,4,1,7,2,6,5]=>14 [5,4,7,1,8,3,2,6]=>13 [3,7,4,1,8,5,2,6]=>15 [6,7,1,4,8,3,2,5]=>12 [2,7,1,8,4,5,3,6]=>16 [6,1,2,8,4,3,5,7]=>18 [6,5,1,4,3,8,2,7]=>14 [1,6,2,5,8,3,4,7]=>19 [8,5,1,3,7,2,6,4]=>12 [8,4,2,1,7,3,6,5]=>13 [7,4,2,1,8,5,3,6]=>14 [1,5,4,2,8,3,6,7]=>20 [6,4,3,1,5,8,2,7]=>15 [3,7,6,8,4,5,2,1]=>8 [2,7,6,8,5,3,4,1]=>9 [1,7,6,8,5,4,2,3]=>10 [1,4,8,6,7,5,2,3]=>13 [2,4,8,6,7,3,5,1]=>12 [7,3,8,5,4,6,2,1]=>7 [3,4,8,5,6,7,2,1]=>12 [6,3,5,8,4,7,2,1]=>9 [5,4,3,8,6,7,2,1]=>10 [5,4,2,8,7,3,6,1]=>11 [6,2,5,8,7,3,4,1]=>10 [3,2,8,5,7,4,6,1]=>13 [1,3,8,7,5,6,2,4]=>14 [2,1,8,7,4,6,3,5]=>15 [3,1,8,5,7,6,2,4]=>14 [6,1,5,8,7,4,2,3]=>11 [5,4,1,8,7,6,2,3]=>12 [5,8,6,7,4,3,2,1]=>4 [4,8,7,5,6,3,2,1]=>5 [2,8,3,1,5,4,6,7]=>19 [2,5,3,4,7,1,8,6]=>19 [2,4,8,3,5,7,6,1]=>15 [4,2,5,3,1,8,6,7]=>19 [4,2,1,8,5,3,6,7]=>19 [5,4,1,3,8,2,6,7]=>17 [5,1,4,8,3,2,6,7]=>17 [1,5,8,4,3,2,6,7]=>17 [1,8,5,4,3,2,6,7]=>16 [1,7,4,3,8,5,2,6]=>16 [1,5,7,3,8,4,2,6]=>16 [5,1,4,7,8,3,2,6]=>15 [4,8,1,5,7,3,6,2]=>12 [8,1,5,3,7,4,6,2]=>12 [3,8,4,7,6,5,2,1]=>8 [1,6,8,5,3,7,4,2]=>12 [6,8,1,7,4,3,5,2]=>9 [6,4,8,1,7,3,5,2]=>10 [6,4,8,7,1,5,2,3]=>9 [7,6,4,1,3,8,2,5]=>11 [1,7,5,6,3,2,8,4]=>15 [4,2,1,7,8,5,3,6]=>17 [2,7,4,6,3,1,8,5]=>15 [2,6,8,4,3,7,5,1]=>12 [6,2,4,8,3,7,5,1]=>12 [7,2,6,3,4,1,8,5]=>14 [2,6,7,3,1,4,8,5]=>17 [2,7,1,8,3,5,4,6]=>17 [2,1,7,3,5,8,4,6]=>20 [8,7,1,3,6,2,4,5]=>11 [8,2,1,7,3,5,6,4]=>14 [7,8,2,6,3,1,5,4]=>9 [8,7,2,6,3,5,4,1]=>6 [1,2,8,7,4,5,6,3]=>16 [8,3,7,1,5,6,2,4]=>10 [8,6,1,2,7,5,3,4]=>11 [8,1,6,2,7,4,5,3]=>12 [1,8,5,2,6,7,4,3]=>14 [5,2,1,8,6,7,4,3]=>14 [2,8,5,7,6,4,3,1]=>8 [1,7,8,5,2,6,4,3]=>12 [7,8,1,6,4,2,5,3]=>9 [7,8,6,1,5,3,2,4]=>7 [7,3,8,6,1,5,2,4]=>9 [8,7,6,1,5,3,4,2]=>5 [8,7,1,6,4,5,3,2]=>6 [8,1,7,5,6,4,3,2]=>7 [1,8,6,7,5,4,3,2]=>8 [9,1,2,3,4,5,6,7,8]=>28 [8,1,2,3,4,5,6,9,7]=>28 [2,9,1,3,4,5,6,7,8]=>28 [9,3,1,2,4,5,6,7,8]=>26 [8,9,1,2,3,4,5,6,7]=>22 [9,7,8,1,2,3,4,5,6]=>16 [2,3,4,5,6,7,9,1,8]=>28 [2,3,4,5,6,7,8,9,1]=>28 [2,3,4,5,6,7,8,1,9]=>29 [2,3,4,5,6,7,1,8,9]=>30 [1,2,3,4,5,6,7,9,8]=>35 [2,1,3,4,5,6,7,8,9]=>35 [1,8,2,3,4,5,6,9,7]=>29 [7,1,2,3,4,5,6,9,8]=>29 [2,1,9,3,4,5,6,7,8]=>29 [2,8,1,3,4,5,6,7,9]=>29 [1,2,3,4,5,6,7,8,9]=>36 [3,2,4,5,6,7,8,9,1]=>27 [9,8,7,6,5,4,3,2,1]=>0 [8,7,6,5,4,3,2,1,9]=>8 [1,9,8,7,6,5,4,3,2]=>8 [8,7,6,4,5,3,2,1,9]=>9 [1,9,8,7,5,6,4,3,2]=>9 [8,7,5,4,6,3,2,1,9]=>10 [8,7,4,6,5,3,2,1,9]=>10 [1,9,8,6,5,7,4,3,2]=>10 [1,9,8,5,7,6,4,3,2]=>10 [9,2,1,3,4,5,6,7,8]=>27 [9,2,3,1,4,5,6,7,8]=>26 [4,2,3,5,6,7,8,9,1]=>26 [3,4,2,5,6,7,8,9,1]=>26 [9,8,1,2,3,4,5,6,7]=>21 [7,8,9,1,2,3,4,5,6]=>18 [9,8,7,1,2,3,4,5,6]=>15 [6,7,8,9,1,2,3,4,5]=>16 [9,6,7,8,1,2,3,4,5]=>13 [8,9,6,7,1,2,3,4,5]=>12 [9,8,6,7,1,2,3,4,5]=>11 [9,8,7,6,1,2,3,4,5]=>10 [9,5,6,7,8,1,2,3,4]=>12 [8,9,5,6,7,1,2,3,4]=>10 [9,8,5,6,7,1,2,3,4]=>9 [9,7,8,5,6,1,2,3,4]=>8 [9,8,7,5,6,1,2,3,4]=>7 [9,8,7,6,5,1,2,3,4]=>6 [7,8,9,4,5,6,1,2,3]=>9 [9,7,8,4,5,6,1,2,3]=>7 [9,8,7,4,5,6,1,2,3]=>6 [8,9,6,7,4,5,1,2,3]=>6 [9,8,6,7,4,5,1,2,3]=>5 [9,8,7,6,4,5,1,2,3]=>4 [9,8,7,6,5,4,1,2,3]=>3 [9,7,8,5,6,3,4,1,2]=>4 [9,8,7,5,6,3,4,1,2]=>3 [9,8,7,6,5,3,4,1,2]=>2 [9,8,7,6,5,4,3,1,2]=>1 [7,8,6,5,4,3,2,1,9]=>9 [1,8,9,7,6,5,4,3,2]=>9 [7,6,8,5,4,3,2,1,9]=>10 [6,8,7,5,4,3,2,1,9]=>10 [1,8,7,9,6,5,4,3,2]=>10 [1,7,9,8,6,5,4,3,2]=>10 [8,1,2,3,4,5,6,7,9]=>29 [1,9,2,3,4,5,6,7,8]=>29 [7,8,1,2,3,4,5,6,9]=>24 [1,8,9,2,3,4,5,6,7]=>24 [7,1,8,2,3,4,5,6,9]=>25 [6,8,1,2,3,4,5,7,9]=>25 [1,8,2,9,3,4,5,6,7]=>25 [1,7,9,2,3,4,5,6,8]=>25 [7,1,2,3,4,5,6,8,9]=>30 [3,4,1,2,5,6,7,8,9]=>32 [3,2,1,4,5,6,7,8,9]=>33 [4,5,6,1,2,3,7,8,9]=>27 [4,2,5,1,3,6,7,8,9]=>30 [4,3,2,1,5,6,7,8,9]=>30 [5,6,7,8,1,2,3,4,9]=>20 [5,2,6,7,1,3,4,8,9]=>25 [5,6,3,4,1,2,7,8,9]=>24 [5,3,2,6,1,4,7,8,9]=>27 [5,4,3,2,1,6,7,8,9]=>26 [6,2,7,8,9,1,3,4,5]=>18 [6,7,3,4,8,1,2,5,9]=>19 [6,3,2,7,8,1,4,5,9]=>22 [6,4,7,2,5,1,3,8,9]=>21 [6,4,3,2,7,1,5,8,9]=>23 [6,5,4,3,2,1,7,8,9]=>21 [7,4,8,2,5,9,1,3,6]=>16 [7,4,3,2,8,9,1,5,6]=>18 [7,8,5,6,3,4,1,2,9]=>12 [7,5,3,8,2,6,1,4,9]=>17 [7,5,4,3,2,8,1,6,9]=>18 [7,6,5,4,3,2,1,8,9]=>15 [8,6,9,4,7,2,5,1,3]=>8 [8,6,4,3,9,2,7,1,5]=>12 [8,6,5,4,3,2,9,1,7]=>12 [2,1,4,3,6,5,8,7,10,9]=>40 [4,3,2,1,6,5,8,7,10,9]=>36 [6,3,2,5,4,1,8,7,10,9]=>32 [8,3,2,5,4,7,6,1,10,9]=>28 [10,3,2,5,4,7,6,9,8,1]=>24 [2,1,6,5,4,3,8,7,10,9]=>36 [6,5,4,3,2,1,8,7,10,9]=>28 [8,5,4,3,2,7,6,1,10,9]=>24 [10,5,4,3,2,7,6,9,8,1]=>20 [2,1,8,5,4,7,6,3,10,9]=>32 [8,7,4,3,6,5,2,1,10,9]=>20 [10,7,4,3,6,5,2,9,8,1]=>16 [2,1,10,5,4,7,6,9,8,3]=>28 [10,9,4,3,6,5,8,7,2,1]=>12 [8,9,5,6,3,4,10,1,2,7]=>16 [2,1,4,3,8,7,6,5,10,9]=>36 [4,3,2,1,8,7,6,5,10,9]=>32 [8,3,2,7,6,5,4,1,10,9]=>24 [10,3,2,7,6,5,4,9,8,1]=>20 [2,1,8,7,6,5,4,3,10,9]=>28 [8,7,6,5,4,3,2,1,10,9]=>16 [9,7,6,5,4,3,2,10,1,8]=>14 [10,7,6,5,4,3,2,9,8,1]=>12 [2,1,10,7,6,5,4,9,8,3]=>24 [10,9,6,5,4,3,8,7,2,1]=>8 [2,1,4,3,10,7,6,9,8,5]=>32 [4,3,2,1,10,7,6,9,8,5]=>28 [10,3,2,9,6,5,8,7,4,1]=>16 [2,1,10,9,6,5,8,7,4,3]=>20 [10,9,8,5,4,7,6,3,2,1]=>4 [6,7,8,9,10,1,2,3,4,5]=>20 [7,3,2,8,9,10,1,4,5,6]=>24 [8,5,4,3,2,9,10,1,6,7]=>22 [2,1,4,3,6,5,10,9,8,7]=>36 [4,3,2,1,6,5,10,9,8,7]=>32 [6,3,2,5,4,1,10,9,8,7]=>28 [10,3,2,5,4,9,8,7,6,1]=>20 [2,1,6,5,4,3,10,9,8,7]=>32 [6,5,4,3,2,1,10,9,8,7]=>24 [10,5,4,3,2,9,8,7,6,1]=>16 [2,1,10,5,4,9,8,7,6,3]=>24 [10,9,4,3,8,7,6,5,2,1]=>8 [9,7,5,10,3,8,2,6,1,4]=>12 [2,1,4,3,10,9,8,7,6,5]=>28 [4,3,2,1,10,9,8,7,6,5]=>24 [10,3,2,9,8,7,6,5,4,1]=>12 [2,1,10,9,8,7,6,5,4,3]=>16 [10,9,8,7,6,5,4,3,2,1]=>0 [2,3,4,5,6,7,8,9,10,1]=>36 [2,3,4,5,6,7,8,9,1,10]=>37 [10,8,9,5,6,7,1,2,3,4]=>10 [10,8,9,4,5,6,1,2,3,7]=>13 [10,7,8,5,6,9,1,2,3,4]=>12 [10,7,8,4,5,9,1,2,3,6]=>14 [10,6,7,4,5,8,1,2,3,9]=>17 [10,7,8,3,4,9,1,2,5,6]=>16 [10,6,7,3,4,8,1,2,5,9]=>19 [9,8,10,5,6,7,1,2,3,4]=>11 [9,8,10,4,5,6,1,2,3,7]=>14 [9,7,10,5,6,8,1,2,3,4]=>12 [9,7,10,4,5,8,1,2,3,6]=>14 [9,6,10,4,5,7,1,2,3,8]=>16 [9,7,10,3,4,8,1,2,5,6]=>16 [9,6,10,3,4,7,1,2,5,8]=>18 [8,7,9,5,6,10,1,2,3,4]=>14 [8,7,9,4,5,10,1,2,3,6]=>16 [8,6,9,4,5,10,1,2,3,7]=>17 [7,6,8,4,5,9,1,2,3,10]=>20 [8,7,9,3,4,10,1,2,5,6]=>18 [8,6,9,3,4,10,1,2,5,7]=>19 [7,6,8,3,4,9,1,2,5,10]=>22 [9,6,10,5,7,8,1,2,3,4]=>13 [9,6,10,4,7,8,1,2,3,5]=>14 [9,5,10,4,6,7,1,2,3,8]=>17 [9,6,10,3,7,8,1,2,4,5]=>15 [9,5,10,3,6,7,1,2,4,8]=>18 [8,6,9,5,7,10,1,2,3,4]=>15 [8,6,9,4,7,10,1,2,3,5]=>16 [8,5,9,4,6,10,1,2,3,7]=>18 [7,5,8,4,6,9,1,2,3,10]=>21 [8,6,9,3,7,10,1,2,4,5]=>17 [8,5,9,3,6,10,1,2,4,7]=>19 [7,5,8,3,6,9,1,2,4,10]=>22 [8,4,9,3,5,10,1,2,6,7]=>21 [7,4,8,3,5,9,1,2,6,10]=>24 [9,6,10,2,7,8,1,3,4,5]=>16 [9,5,10,2,6,7,1,3,4,8]=>19 [8,6,9,2,7,10,1,3,4,5]=>18 [8,5,9,2,6,10,1,3,4,7]=>20 [7,5,8,2,6,9,1,3,4,10]=>23 [8,4,9,2,5,10,1,3,6,7]=>22 [7,4,8,2,5,9,1,3,6,10]=>25 [1,2,3,4,5,6,7,8,10,9]=>44 [2,1,3,4,5,6,7,8,9,10]=>44 [9,1,2,3,4,5,6,7,10,8]=>36 [2,10,1,3,4,5,6,7,8,9]=>36 [1,2,3,4,5,6,7,8,9,10]=>45 [9,8,7,6,5,4,3,2,1,10]=>9 [10,1,2,3,4,5,6,7,8,9]=>36 [10,9,1,2,3,4,5,6,7,8]=>28 [1,10,9,8,7,6,5,4,3,2]=>9 [9,8,7,5,6,4,3,2,1,10]=>10 [1,10,9,8,6,7,5,4,3,2]=>10 [10,2,1,3,4,5,6,7,8,9]=>35 [3,2,4,5,6,7,8,9,10,1]=>35 [2,4,6,8,10,1,3,5,7,9]=>30 [2,4,6,9,10,1,3,5,7,8]=>29 [2,4,7,8,10,1,3,5,6,9]=>29 [2,4,7,9,10,1,3,5,6,8]=>28 [2,4,8,9,10,1,3,5,6,7]=>27 [2,5,6,8,10,1,3,4,7,9]=>29 [2,5,6,9,10,1,3,4,7,8]=>28 [2,5,7,8,10,1,3,4,6,9]=>28 [2,5,7,9,10,1,3,4,6,8]=>27 [2,5,8,9,10,1,3,4,6,7]=>26 [2,6,7,8,10,1,3,4,5,9]=>27 [2,6,7,9,10,1,3,4,5,8]=>26 [2,6,8,9,10,1,3,4,5,7]=>25 [2,7,8,9,10,1,3,4,5,6]=>24 [3,4,6,8,10,1,2,5,7,9]=>29 [3,4,6,9,10,1,2,5,7,8]=>28 [3,4,7,8,10,1,2,5,6,9]=>28 [3,4,7,9,10,1,2,5,6,8]=>27 [3,4,8,9,10,1,2,5,6,7]=>26 [3,5,6,8,10,1,2,4,7,9]=>28 [3,5,6,9,10,1,2,4,7,8]=>27 [3,5,7,8,10,1,2,4,6,9]=>27 [3,5,7,9,10,1,2,4,6,8]=>26 [3,5,8,9,10,1,2,4,6,7]=>25 [3,6,7,8,10,1,2,4,5,9]=>26 [3,6,7,9,10,1,2,4,5,8]=>25 [3,6,8,9,10,1,2,4,5,7]=>24 [3,7,8,9,10,1,2,4,5,6]=>23 [4,5,6,8,10,1,2,3,7,9]=>27 [4,5,6,9,10,1,2,3,7,8]=>26 [4,5,7,8,10,1,2,3,6,9]=>26 [4,5,7,9,10,1,2,3,6,8]=>25 [4,5,8,9,10,1,2,3,6,7]=>24 [4,6,7,8,10,1,2,3,5,9]=>25 [4,6,7,9,10,1,2,3,5,8]=>24 [4,6,8,9,10,1,2,3,5,7]=>23 [4,7,8,9,10,1,2,3,5,6]=>22 [5,6,7,8,10,1,2,3,4,9]=>24 [5,6,7,9,10,1,2,3,4,8]=>23 [5,6,8,9,10,1,2,3,4,7]=>22 [5,7,8,9,10,1,2,3,4,6]=>21 [9,10,1,2,3,4,5,6,7,8]=>29 [8,9,10,1,2,3,4,5,6,7]=>24 [10,8,9,1,2,3,4,5,6,7]=>22 [10,9,8,1,2,3,4,5,6,7]=>21 [7,8,9,10,1,2,3,4,5,6]=>21 [10,7,8,9,1,2,3,4,5,6]=>18 [9,10,7,8,1,2,3,4,5,6]=>17 [10,9,7,8,1,2,3,4,5,6]=>16 [10,9,8,7,1,2,3,4,5,6]=>15 [10,6,7,8,9,1,2,3,4,5]=>16 [9,10,6,7,8,1,2,3,4,5]=>14 [10,9,6,7,8,1,2,3,4,5]=>13 [10,8,9,6,7,1,2,3,4,5]=>12 [10,9,8,6,7,1,2,3,4,5]=>11 [10,9,8,7,6,1,2,3,4,5]=>10 [9,10,5,6,7,8,1,2,3,4]=>13 [10,9,5,6,7,8,1,2,3,4]=>12 [8,9,10,5,6,7,1,2,3,4]=>12 [10,9,8,5,6,7,1,2,3,4]=>9 [9,10,7,8,5,6,1,2,3,4]=>9 [10,9,7,8,5,6,1,2,3,4]=>8 [10,9,8,7,5,6,1,2,3,4]=>7 [10,9,8,7,6,5,1,2,3,4]=>6 [10,7,8,9,4,5,6,1,2,3]=>9 [9,10,7,8,4,5,6,1,2,3]=>8 [10,9,7,8,4,5,6,1,2,3]=>7 [10,9,8,7,4,5,6,1,2,3]=>6 [10,8,9,6,7,4,5,1,2,3]=>6 [10,9,8,6,7,4,5,1,2,3]=>5 [10,9,8,7,6,4,5,1,2,3]=>4 [10,9,8,7,6,5,4,1,2,3]=>3 [9,10,7,8,5,6,3,4,1,2]=>5 [10,9,7,8,5,6,3,4,1,2]=>4 [10,9,8,7,5,6,3,4,1,2]=>3 [10,9,8,7,6,5,3,4,1,2]=>2 [10,9,8,7,6,5,4,3,1,2]=>1 [8,9,7,6,5,4,3,2,1,10]=>10 [1,9,10,8,7,6,5,4,3,2]=>10 [9,1,2,3,4,5,6,7,8,10]=>37 [1,10,2,3,4,5,6,7,8,9]=>37 [8,9,1,2,3,4,5,6,7,10]=>31 [1,9,10,2,3,4,5,6,7,8]=>31 [3,4,1,2,5,6,7,8,9,10]=>41 [3,2,1,4,5,6,7,8,9,10]=>42 [4,5,6,1,2,3,7,8,9,10]=>36 [4,2,5,1,3,6,7,8,9,10]=>39 [4,3,2,1,5,6,7,8,9,10]=>39 [5,6,7,8,1,2,3,4,9,10]=>29 [5,2,6,7,1,3,4,8,9,10]=>34 [5,6,3,4,1,2,7,8,9,10]=>33 [5,3,2,6,1,4,7,8,9,10]=>36 [5,4,3,2,1,6,7,8,9,10]=>35 [6,2,7,8,9,1,3,4,5,10]=>27 [6,7,3,4,8,1,2,5,9,10]=>28 [6,3,2,7,8,1,4,5,9,10]=>31 [6,4,7,2,5,1,3,8,9,10]=>30 [6,4,3,2,7,1,5,8,9,10]=>32 [6,5,4,3,2,1,7,8,9,10]=>30 [7,8,3,4,9,10,1,2,5,6]=>21 [7,8,9,4,5,6,1,2,3,10]=>18 [7,4,3,2,8,9,1,5,6,10]=>27 [7,8,5,6,3,4,1,2,9,10]=>21 [7,5,3,8,2,6,1,4,9,10]=>26 [7,5,4,3,2,8,1,6,9,10]=>27 [7,6,5,4,3,2,1,8,9,10]=>24 [8,5,9,10,2,6,7,1,3,4]=>15 [8,5,3,9,2,6,10,1,4,7]=>21 [8,6,9,4,7,2,5,1,3,10]=>17 [8,6,4,3,9,2,7,1,5,10]=>21 [8,6,5,4,3,2,9,1,7,10]=>21 [8,7,6,5,4,3,2,1,9,10]=>17 [9,7,5,4,3,10,2,8,1,6]=>15 [1,2,3,4,5,6,7,8,9,11,10]=>54 [2,1,3,4,5,6,7,8,9,10,11]=>54 [11,1,2,3,4,5,6,7,8,9,10]=>45 [10,9,8,7,6,5,4,3,2,1,11]=>10 [1,11,10,9,8,7,6,5,4,3,2]=>10 [2,3,4,5,6,7,8,9,10,11,1]=>45 [10,1,2,3,4,5,6,7,8,9,11]=>46 [1,11,2,3,4,5,6,7,8,9,10]=>46 [2,1,4,3,6,5,8,7,12,11,10,9]=>56 [2,1,4,3,6,5,12,9,8,11,10,7]=>52 [2,1,4,3,6,5,12,11,10,9,8,7]=>48 [2,1,4,3,8,7,6,5,12,11,10,9]=>52 [2,1,4,3,12,7,6,9,8,11,10,5]=>48 [2,1,4,3,12,7,6,11,10,9,8,5]=>44 [2,1,4,3,10,9,8,7,6,5,12,11]=>48 [2,1,4,3,12,9,8,7,6,11,10,5]=>44 [2,1,4,3,12,11,8,7,10,9,6,5]=>40 [2,1,4,3,12,11,10,9,8,7,6,5]=>36 [2,1,6,5,4,3,8,7,12,11,10,9]=>52 [2,1,6,5,4,3,10,9,8,7,12,11]=>52 [2,1,6,5,4,3,12,9,8,11,10,7]=>48 [2,1,6,5,4,3,12,11,10,9,8,7]=>44 [2,1,8,5,4,7,6,3,12,11,10,9]=>48 [2,1,12,5,4,7,6,9,8,11,10,3]=>44 [2,1,12,5,4,7,6,11,10,9,8,3]=>40 [2,1,10,5,4,9,8,7,6,3,12,11]=>44 [2,1,12,5,4,9,8,7,6,11,10,3]=>40 [2,1,12,5,4,11,8,7,10,9,6,3]=>36 [2,1,12,5,4,11,10,9,8,7,6,3]=>32 [2,1,8,7,6,5,4,3,10,9,12,11]=>48 [2,1,8,7,6,5,4,3,12,11,10,9]=>44 [2,1,12,7,6,5,4,9,8,11,10,3]=>40 [2,1,12,7,6,5,4,11,10,9,8,3]=>36 [2,1,10,9,6,5,8,7,4,3,12,11]=>40 [2,1,12,9,6,5,8,7,4,11,10,3]=>36 [2,1,12,11,6,5,8,7,10,9,4,3]=>32 [2,1,12,11,6,5,10,9,8,7,4,3]=>28 [2,1,10,9,8,7,6,5,4,3,12,11]=>36 [2,1,12,9,8,7,6,5,4,11,10,3]=>32 [2,1,12,11,8,7,6,5,10,9,4,3]=>28 [2,1,12,11,10,7,6,9,8,5,4,3]=>24 [2,1,12,11,10,9,8,7,6,5,4,3]=>20 [4,3,2,1,6,5,8,7,10,9,12,11]=>56 [4,3,2,1,6,5,8,7,12,11,10,9]=>52 [4,3,2,1,6,5,10,9,8,7,12,11]=>52 [4,3,2,1,6,5,12,9,8,11,10,7]=>48 [4,3,2,1,6,5,12,11,10,9,8,7]=>44 [4,3,2,1,8,7,6,5,10,9,12,11]=>52 [4,3,2,1,8,7,6,5,12,11,10,9]=>48 [4,3,2,1,10,7,6,9,8,5,12,11]=>48 [4,3,2,1,12,7,6,9,8,11,10,5]=>44 [4,3,2,1,12,7,6,11,10,9,8,5]=>40 [4,3,2,1,10,9,8,7,6,5,12,11]=>44 [4,3,2,1,12,9,8,7,6,11,10,5]=>40 [4,3,2,1,12,11,8,7,10,9,6,5]=>36 [4,3,2,1,12,11,10,9,8,7,6,5]=>32 [6,3,2,5,4,1,8,7,10,9,12,11]=>52 [6,3,2,5,4,1,8,7,12,11,10,9]=>48 [6,3,2,5,4,1,10,9,8,7,12,11]=>48 [6,3,2,5,4,1,12,9,8,11,10,7]=>44 [6,3,2,5,4,1,12,11,10,9,8,7]=>40 [8,3,2,5,4,7,6,1,10,9,12,11]=>48 [8,3,2,5,4,7,6,1,12,11,10,9]=>44 [10,3,2,5,4,7,6,9,8,1,12,11]=>44 [12,3,2,5,4,7,6,9,8,11,10,1]=>40 [12,3,2,5,4,7,6,11,10,9,8,1]=>36 [10,3,2,5,4,9,8,7,6,1,12,11]=>40 [12,3,2,5,4,9,8,7,6,11,10,1]=>36 [12,3,2,5,4,11,8,7,10,9,6,1]=>32 [12,3,2,5,4,11,10,9,8,7,6,1]=>28 [8,3,2,7,6,5,4,1,10,9,12,11]=>44 [8,3,2,7,6,5,4,1,12,11,10,9]=>40 [10,3,2,7,6,5,4,9,8,1,12,11]=>40 [12,3,2,7,6,5,4,9,8,11,10,1]=>36 [12,3,2,7,6,5,4,11,10,9,8,1]=>32 [10,3,2,9,6,5,8,7,4,1,12,11]=>36 [12,3,2,9,6,5,8,7,4,11,10,1]=>32 [12,3,2,11,6,5,8,7,10,9,4,1]=>28 [12,3,2,11,6,5,10,9,8,7,4,1]=>24 [10,3,2,9,8,7,6,5,4,1,12,11]=>32 [12,3,2,9,8,7,6,5,4,11,10,1]=>28 [12,3,2,11,8,7,6,5,10,9,4,1]=>24 [6,5,4,3,2,1,8,7,10,9,12,11]=>48 [6,5,4,3,2,1,8,7,12,11,10,9]=>44 [6,5,4,3,2,1,10,9,8,7,12,11]=>44 [6,5,4,3,2,1,12,9,8,11,10,7]=>40 [6,5,4,3,2,1,12,11,10,9,8,7]=>36 [8,5,4,3,2,7,6,1,12,11,10,9]=>40 [10,5,4,3,2,7,6,9,8,1,12,11]=>40 [12,5,4,3,2,7,6,9,8,11,10,1]=>36 [12,5,4,3,2,7,6,11,10,9,8,1]=>32 [10,5,4,3,2,9,8,7,6,1,12,11]=>36 [12,5,4,3,2,9,8,7,6,11,10,1]=>32 [12,5,4,3,2,11,8,7,10,9,6,1]=>28 [8,7,4,3,6,5,2,1,10,9,12,11]=>40 [8,7,4,3,6,5,2,1,12,11,10,9]=>36 [10,7,4,3,6,5,2,9,8,1,12,11]=>36 [12,7,4,3,6,5,2,9,8,11,10,1]=>32 [12,7,4,3,6,5,2,11,10,9,8,1]=>28 [10,9,4,3,6,5,8,7,2,1,12,11]=>32 [12,9,4,3,6,5,8,7,2,11,10,1]=>28 [12,11,4,3,6,5,8,7,10,9,2,1]=>24 [10,9,4,3,8,7,6,5,2,1,12,11]=>28 [12,9,4,3,8,7,6,5,2,11,10,1]=>24 [8,7,6,5,4,3,2,1,10,9,12,11]=>36 [8,7,6,5,4,3,2,1,12,11,10,9]=>32 [10,7,6,5,4,3,2,9,8,1,12,11]=>32 [12,7,6,5,4,3,2,9,8,11,10,1]=>28 [10,9,6,5,4,3,8,7,2,1,12,11]=>28 [12,9,6,5,4,3,8,7,2,11,10,1]=>24 [12,11,6,5,4,3,8,7,10,9,2,1]=>20 [10,9,8,5,4,7,6,3,2,1,12,11]=>24 [10,9,8,7,6,5,4,3,2,1,12,11]=>20 [2,4,6,8,10,12,1,3,5,7,9,11]=>45 [2,4,6,8,11,12,1,3,5,7,9,10]=>44 [2,4,6,9,10,12,1,3,5,7,8,11]=>44 [2,4,6,9,11,12,1,3,5,7,8,10]=>43 [2,4,6,10,11,12,1,3,5,7,8,9]=>42 [2,4,7,8,10,12,1,3,5,6,9,11]=>44 [2,4,7,8,11,12,1,3,5,6,9,10]=>43 [2,4,7,9,10,12,1,3,5,6,8,11]=>43 [2,4,7,9,11,12,1,3,5,6,8,10]=>42 [2,4,7,10,11,12,1,3,5,6,8,9]=>41 [2,4,8,9,10,12,1,3,5,6,7,11]=>42 [2,4,8,9,11,12,1,3,5,6,7,10]=>41 [2,4,8,10,11,12,1,3,5,6,7,9]=>40 [2,4,9,10,11,12,1,3,5,6,7,8]=>39 [2,5,6,8,10,12,1,3,4,7,9,11]=>44 [2,5,6,8,11,12,1,3,4,7,9,10]=>43 [2,5,6,9,10,12,1,3,4,7,8,11]=>43 [2,5,6,9,11,12,1,3,4,7,8,10]=>42 [2,5,6,10,11,12,1,3,4,7,8,9]=>41 [2,5,7,8,10,12,1,3,4,6,9,11]=>43 [2,5,7,8,11,12,1,3,4,6,9,10]=>42 [2,5,7,9,11,12,1,3,4,6,8,10]=>41 [2,5,7,10,11,12,1,3,4,6,8,9]=>40 [2,5,8,9,10,12,1,3,4,6,7,11]=>41 [2,5,8,9,11,12,1,3,4,6,7,10]=>40 [2,5,8,10,11,12,1,3,4,6,7,9]=>39 [2,5,9,10,11,12,1,3,4,6,7,8]=>38 [2,6,7,8,10,12,1,3,4,5,9,11]=>42 [2,6,7,8,11,12,1,3,4,5,9,10]=>41 [2,6,7,9,10,12,1,3,4,5,8,11]=>41 [2,6,7,9,11,12,1,3,4,5,8,10]=>40 [2,6,7,10,11,12,1,3,4,5,8,9]=>39 [2,6,8,9,10,12,1,3,4,5,7,11]=>40 [2,6,8,9,11,12,1,3,4,5,7,10]=>39 [2,6,8,10,11,12,1,3,4,5,7,9]=>38 [2,6,9,10,11,12,1,3,4,5,7,8]=>37 [2,7,8,9,10,12,1,3,4,5,6,11]=>39 [2,7,8,9,11,12,1,3,4,5,6,10]=>38 [2,7,8,10,11,12,1,3,4,5,6,9]=>37 [2,7,9,10,11,12,1,3,4,5,6,8]=>36 [2,8,9,10,11,12,1,3,4,5,6,7]=>35 [3,4,6,8,10,12,1,2,5,7,9,11]=>44 [3,4,6,8,11,12,1,2,5,7,9,10]=>43 [3,4,6,9,10,12,1,2,5,7,8,11]=>43 [3,4,6,9,11,12,1,2,5,7,8,10]=>42 [3,4,6,10,11,12,1,2,5,7,8,9]=>41 [3,4,7,8,10,12,1,2,5,6,9,11]=>43 [3,4,7,8,11,12,1,2,5,6,9,10]=>42 [3,4,7,9,10,12,1,2,5,6,8,11]=>42 [3,4,7,9,11,12,1,2,5,6,8,10]=>41 [3,4,7,10,11,12,1,2,5,6,8,9]=>40 [3,4,8,9,10,12,1,2,5,6,7,11]=>41 [3,4,8,9,11,12,1,2,5,6,7,10]=>40 [3,4,8,10,11,12,1,2,5,6,7,9]=>39 [3,4,9,10,11,12,1,2,5,6,7,8]=>38 [3,5,6,8,10,12,1,2,4,7,9,11]=>43 [3,5,6,8,11,12,1,2,4,7,9,10]=>42 [3,5,6,9,10,12,1,2,4,7,8,11]=>42 [3,5,6,9,11,12,1,2,4,7,8,10]=>41 [3,5,6,10,11,12,1,2,4,7,8,9]=>40 [3,5,7,8,10,12,1,2,4,6,9,11]=>42 [3,5,7,8,11,12,1,2,4,6,9,10]=>41 [3,5,7,9,10,12,1,2,4,6,8,11]=>41 [3,5,7,9,11,12,1,2,4,6,8,10]=>40 [3,5,7,10,11,12,1,2,4,6,8,9]=>39 [3,5,8,9,10,12,1,2,4,6,7,11]=>40 [3,5,8,9,11,12,1,2,4,6,7,10]=>39 [3,5,8,10,11,12,1,2,4,6,7,9]=>38 [3,5,9,10,11,12,1,2,4,6,7,8]=>37 [3,6,7,8,10,12,1,2,4,5,9,11]=>41 [3,6,7,8,11,12,1,2,4,5,9,10]=>40 [3,6,7,9,10,12,1,2,4,5,8,11]=>40 [3,6,7,9,11,12,1,2,4,5,8,10]=>39 [3,6,7,10,11,12,1,2,4,5,8,9]=>38 [3,6,8,9,10,12,1,2,4,5,7,11]=>39 [3,6,8,9,11,12,1,2,4,5,7,10]=>38 [3,6,8,10,11,12,1,2,4,5,7,9]=>37 [3,6,9,10,11,12,1,2,4,5,7,8]=>36 [3,7,8,9,10,12,1,2,4,5,6,11]=>38 [3,7,8,9,11,12,1,2,4,5,6,10]=>37 [3,7,8,10,11,12,1,2,4,5,6,9]=>36 [3,7,9,10,11,12,1,2,4,5,6,8]=>35 [3,8,9,10,11,12,1,2,4,5,6,7]=>34 [4,5,6,8,10,12,1,2,3,7,9,11]=>42 [4,5,6,8,11,12,1,2,3,7,9,10]=>41 [4,5,6,9,10,12,1,2,3,7,8,11]=>41 [4,5,6,9,11,12,1,2,3,7,8,10]=>40 [4,5,6,10,11,12,1,2,3,7,8,9]=>39 [4,5,7,8,10,12,1,2,3,6,9,11]=>41 [4,5,7,8,11,12,1,2,3,6,9,10]=>40 [4,5,7,9,10,12,1,2,3,6,8,11]=>40 [4,5,7,9,11,12,1,2,3,6,8,10]=>39 [4,5,7,10,11,12,1,2,3,6,8,9]=>38 [4,5,8,9,10,12,1,2,3,6,7,11]=>39 [4,5,8,9,11,12,1,2,3,6,7,10]=>38 [4,5,8,10,11,12,1,2,3,6,7,9]=>37 [4,5,9,10,11,12,1,2,3,6,7,8]=>36 [4,6,7,8,10,12,1,2,3,5,9,11]=>40 [4,6,7,8,11,12,1,2,3,5,9,10]=>39 [4,6,7,9,10,12,1,2,3,5,8,11]=>39 [4,6,7,9,11,12,1,2,3,5,8,10]=>38 [4,6,7,10,11,12,1,2,3,5,8,9]=>37 [4,6,8,9,10,12,1,2,3,5,7,11]=>38 [4,6,8,9,11,12,1,2,3,5,7,10]=>37 [4,6,8,10,11,12,1,2,3,5,7,9]=>36 [4,6,9,10,11,12,1,2,3,5,7,8]=>35 [4,7,8,9,10,12,1,2,3,5,6,11]=>37 [4,7,8,9,11,12,1,2,3,5,6,10]=>36 [4,7,8,10,11,12,1,2,3,5,6,9]=>35 [4,7,9,10,11,12,1,2,3,5,6,8]=>34 [4,8,9,10,11,12,1,2,3,5,6,7]=>33 [5,6,7,8,10,12,1,2,3,4,9,11]=>39 [5,6,7,8,11,12,1,2,3,4,9,10]=>38 [5,6,7,9,10,12,1,2,3,4,8,11]=>38 [5,6,7,9,11,12,1,2,3,4,8,10]=>37 [5,6,7,10,11,12,1,2,3,4,8,9]=>36 [5,6,8,9,10,12,1,2,3,4,7,11]=>37 [5,6,8,9,11,12,1,2,3,4,7,10]=>36 [5,6,8,10,11,12,1,2,3,4,7,9]=>35 [5,6,9,10,11,12,1,2,3,4,7,8]=>34 [5,7,8,9,10,12,1,2,3,4,6,11]=>36 [5,7,8,9,11,12,1,2,3,4,6,10]=>35 [5,7,8,10,11,12,1,2,3,4,6,9]=>34 [5,7,9,10,11,12,1,2,3,4,6,8]=>33 [5,8,9,10,11,12,1,2,3,4,6,7]=>32 [6,7,8,9,10,12,1,2,3,4,5,11]=>35 [6,7,8,9,11,12,1,2,3,4,5,10]=>34 [6,7,8,10,11,12,1,2,3,4,5,9]=>33 [6,7,9,10,11,12,1,2,3,4,5,8]=>32 [6,8,9,10,11,12,1,2,3,4,5,7]=>31 [7,8,9,10,11,12,1,2,3,4,5,6]=>30
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Description
The number of non-inversions of a permutation.
For a permutation of $\{1,\ldots,n\}$, this is given by $\operatorname{noninv}(\pi) = \binom{n}{2}-\operatorname{inv}(\pi)$.
References
[1] Reiner, V., Saliola, F., Welker, V. Spectra of Symmetrized Shuffling Operators arXiv:1102.2460
[2] The number of inversions of a permutation. St000018
Code
def statistic(pi):
        return binomial(len(pi),2)-pi.number_of_inversions()

Created
Feb 27, 2015 at 10:43 by Christian Stump
Updated
Jan 11, 2018 at 21:35 by Martin Rubey