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-----------------------------------------------------------------------------
Statistic identifier: St001874

-----------------------------------------------------------------------------
Collection: Permutations

-----------------------------------------------------------------------------
Description: Lusztig's a-function for the symmetric group.
Let $x$ be a permutation corresponding to the pair of tableaux $(P(x),Q(x))$
by the Robinson-Schensted correspondence and
$\operatorname{shape}(Q(x)')=( \lambda_1,...,\lambda_k)$
where $Q(x)'$ is the transposed tableau.
Then $a(x)=\sum\limits_{i=1}^{k}{\binom{\lambda_i}{2}}$.
See exercise 10 on page 198 in the book by Björner and Brenti "Combinatorics of Coxeter Groups" for equivalent characterisations and properties.

-----------------------------------------------------------------------------
References: [1]   Björner, A., Brenti, F. Combinatorics of Coxeter groups. [[zbMATH:1110.05001]]

-----------------------------------------------------------------------------
Code:
def statistic(x):
    Q = x.robinson_schensted()[1]
    return sum(binomial(c, 2) for c in Q.conjugate().shape())

-----------------------------------------------------------------------------
Statistic values:

[1]           => 0
[1,2]         => 0
[2,1]         => 1
[1,2,3]       => 0
[1,3,2]       => 1
[2,1,3]       => 1
[2,3,1]       => 1
[3,1,2]       => 1
[3,2,1]       => 3
[1,2,3,4]     => 0
[1,2,4,3]     => 1
[1,3,2,4]     => 1
[1,3,4,2]     => 1
[1,4,2,3]     => 1
[1,4,3,2]     => 3
[2,1,3,4]     => 1
[2,1,4,3]     => 2
[2,3,1,4]     => 1
[2,3,4,1]     => 1
[2,4,1,3]     => 2
[2,4,3,1]     => 3
[3,1,2,4]     => 1
[3,1,4,2]     => 2
[3,2,1,4]     => 3
[3,2,4,1]     => 3
[3,4,1,2]     => 2
[3,4,2,1]     => 3
[4,1,2,3]     => 1
[4,1,3,2]     => 3
[4,2,1,3]     => 3
[4,2,3,1]     => 3
[4,3,1,2]     => 3
[4,3,2,1]     => 6
[1,2,3,4,5]   => 0
[1,2,3,5,4]   => 1
[1,2,4,3,5]   => 1
[1,2,4,5,3]   => 1
[1,2,5,3,4]   => 1
[1,2,5,4,3]   => 3
[1,3,2,4,5]   => 1
[1,3,2,5,4]   => 2
[1,3,4,2,5]   => 1
[1,3,4,5,2]   => 1
[1,3,5,2,4]   => 2
[1,3,5,4,2]   => 3
[1,4,2,3,5]   => 1
[1,4,2,5,3]   => 2
[1,4,3,2,5]   => 3
[1,4,3,5,2]   => 3
[1,4,5,2,3]   => 2
[1,4,5,3,2]   => 3
[1,5,2,3,4]   => 1
[1,5,2,4,3]   => 3
[1,5,3,2,4]   => 3
[1,5,3,4,2]   => 3
[1,5,4,2,3]   => 3
[1,5,4,3,2]   => 6
[2,1,3,4,5]   => 1
[2,1,3,5,4]   => 2
[2,1,4,3,5]   => 2
[2,1,4,5,3]   => 2
[2,1,5,3,4]   => 2
[2,1,5,4,3]   => 4
[2,3,1,4,5]   => 1
[2,3,1,5,4]   => 2
[2,3,4,1,5]   => 1
[2,3,4,5,1]   => 1
[2,3,5,1,4]   => 2
[2,3,5,4,1]   => 3
[2,4,1,3,5]   => 2
[2,4,1,5,3]   => 2
[2,4,3,1,5]   => 3
[2,4,3,5,1]   => 3
[2,4,5,1,3]   => 2
[2,4,5,3,1]   => 3
[2,5,1,3,4]   => 2
[2,5,1,4,3]   => 4
[2,5,3,1,4]   => 3
[2,5,3,4,1]   => 3
[2,5,4,1,3]   => 4
[2,5,4,3,1]   => 6
[3,1,2,4,5]   => 1
[3,1,2,5,4]   => 2
[3,1,4,2,5]   => 2
[3,1,4,5,2]   => 2
[3,1,5,2,4]   => 2
[3,1,5,4,2]   => 4
[3,2,1,4,5]   => 3
[3,2,1,5,4]   => 4
[3,2,4,1,5]   => 3
[3,2,4,5,1]   => 3
[3,2,5,1,4]   => 4
[3,2,5,4,1]   => 4
[3,4,1,2,5]   => 2
[3,4,1,5,2]   => 2
[3,4,2,1,5]   => 3
[3,4,2,5,1]   => 3
[3,4,5,1,2]   => 2
[3,4,5,2,1]   => 3
[3,5,1,2,4]   => 2
[3,5,1,4,2]   => 4
[3,5,2,1,4]   => 4
[3,5,2,4,1]   => 4
[3,5,4,1,2]   => 4
[3,5,4,2,1]   => 6
[4,1,2,3,5]   => 1
[4,1,2,5,3]   => 2
[4,1,3,2,5]   => 3
[4,1,3,5,2]   => 3
[4,1,5,2,3]   => 2
[4,1,5,3,2]   => 4
[4,2,1,3,5]   => 3
[4,2,1,5,3]   => 4
[4,2,3,1,5]   => 3
[4,2,3,5,1]   => 3
[4,2,5,1,3]   => 4
[4,2,5,3,1]   => 4
[4,3,1,2,5]   => 3
[4,3,1,5,2]   => 4
[4,3,2,1,5]   => 6
[4,3,2,5,1]   => 6
[4,3,5,1,2]   => 4
[4,3,5,2,1]   => 6
[4,5,1,2,3]   => 2
[4,5,1,3,2]   => 4
[4,5,2,1,3]   => 4
[4,5,2,3,1]   => 4
[4,5,3,1,2]   => 4
[4,5,3,2,1]   => 6
[5,1,2,3,4]   => 1
[5,1,2,4,3]   => 3
[5,1,3,2,4]   => 3
[5,1,3,4,2]   => 3
[5,1,4,2,3]   => 3
[5,1,4,3,2]   => 6
[5,2,1,3,4]   => 3
[5,2,1,4,3]   => 4
[5,2,3,1,4]   => 3
[5,2,3,4,1]   => 3
[5,2,4,1,3]   => 4
[5,2,4,3,1]   => 6
[5,3,1,2,4]   => 3
[5,3,1,4,2]   => 4
[5,3,2,1,4]   => 6
[5,3,2,4,1]   => 6
[5,3,4,1,2]   => 4
[5,3,4,2,1]   => 6
[5,4,1,2,3]   => 3
[5,4,1,3,2]   => 6
[5,4,2,1,3]   => 6
[5,4,2,3,1]   => 6
[5,4,3,1,2]   => 6
[5,4,3,2,1]   => 10
[1,2,3,4,5,6] => 0
[1,2,3,4,6,5] => 1
[1,2,3,5,4,6] => 1
[1,2,3,5,6,4] => 1
[1,2,3,6,4,5] => 1
[1,2,3,6,5,4] => 3
[1,2,4,3,5,6] => 1
[1,2,4,3,6,5] => 2
[1,2,4,5,3,6] => 1
[1,2,4,5,6,3] => 1
[1,2,4,6,3,5] => 2
[1,2,4,6,5,3] => 3
[1,2,5,3,4,6] => 1
[1,2,5,3,6,4] => 2
[1,2,5,4,3,6] => 3
[1,2,5,4,6,3] => 3
[1,2,5,6,3,4] => 2
[1,2,5,6,4,3] => 3
[1,2,6,3,4,5] => 1
[1,2,6,3,5,4] => 3
[1,2,6,4,3,5] => 3
[1,2,6,4,5,3] => 3
[1,2,6,5,3,4] => 3
[1,2,6,5,4,3] => 6
[1,3,2,4,5,6] => 1
[1,3,2,4,6,5] => 2
[1,3,2,5,4,6] => 2
[1,3,2,5,6,4] => 2
[1,3,2,6,4,5] => 2
[1,3,2,6,5,4] => 4
[1,3,4,2,5,6] => 1
[1,3,4,2,6,5] => 2
[1,3,4,5,2,6] => 1
[1,3,4,5,6,2] => 1
[1,3,4,6,2,5] => 2
[1,3,4,6,5,2] => 3
[1,3,5,2,4,6] => 2
[1,3,5,2,6,4] => 2
[1,3,5,4,2,6] => 3
[1,3,5,4,6,2] => 3
[1,3,5,6,2,4] => 2
[1,3,5,6,4,2] => 3
[1,3,6,2,4,5] => 2
[1,3,6,2,5,4] => 4
[1,3,6,4,2,5] => 3
[1,3,6,4,5,2] => 3
[1,3,6,5,2,4] => 4
[1,3,6,5,4,2] => 6
[1,4,2,3,5,6] => 1
[1,4,2,3,6,5] => 2
[1,4,2,5,3,6] => 2
[1,4,2,5,6,3] => 2
[1,4,2,6,3,5] => 2
[1,4,2,6,5,3] => 4
[1,4,3,2,5,6] => 3
[1,4,3,2,6,5] => 4
[1,4,3,5,2,6] => 3
[1,4,3,5,6,2] => 3
[1,4,3,6,2,5] => 4
[1,4,3,6,5,2] => 4
[1,4,5,2,3,6] => 2
[1,4,5,2,6,3] => 2
[1,4,5,3,2,6] => 3
[1,4,5,3,6,2] => 3
[1,4,5,6,2,3] => 2
[1,4,5,6,3,2] => 3
[1,4,6,2,3,5] => 2
[1,4,6,2,5,3] => 4
[1,4,6,3,2,5] => 4
[1,4,6,3,5,2] => 4
[1,4,6,5,2,3] => 4
[1,4,6,5,3,2] => 6
[1,5,2,3,4,6] => 1
[1,5,2,3,6,4] => 2
[1,5,2,4,3,6] => 3
[1,5,2,4,6,3] => 3
[1,5,2,6,3,4] => 2
[1,5,2,6,4,3] => 4
[1,5,3,2,4,6] => 3
[1,5,3,2,6,4] => 4
[1,5,3,4,2,6] => 3
[1,5,3,4,6,2] => 3
[1,5,3,6,2,4] => 4
[1,5,3,6,4,2] => 4
[1,5,4,2,3,6] => 3
[1,5,4,2,6,3] => 4
[1,5,4,3,2,6] => 6
[1,5,4,3,6,2] => 6
[1,5,4,6,2,3] => 4
[1,5,4,6,3,2] => 6
[1,5,6,2,3,4] => 2
[1,5,6,2,4,3] => 4
[1,5,6,3,2,4] => 4
[1,5,6,3,4,2] => 4
[1,5,6,4,2,3] => 4
[1,5,6,4,3,2] => 6
[1,6,2,3,4,5] => 1
[1,6,2,3,5,4] => 3
[1,6,2,4,3,5] => 3
[1,6,2,4,5,3] => 3
[1,6,2,5,3,4] => 3
[1,6,2,5,4,3] => 6
[1,6,3,2,4,5] => 3
[1,6,3,2,5,4] => 4
[1,6,3,4,2,5] => 3
[1,6,3,4,5,2] => 3
[1,6,3,5,2,4] => 4
[1,6,3,5,4,2] => 6
[1,6,4,2,3,5] => 3
[1,6,4,2,5,3] => 4
[1,6,4,3,2,5] => 6
[1,6,4,3,5,2] => 6
[1,6,4,5,2,3] => 4
[1,6,4,5,3,2] => 6
[1,6,5,2,3,4] => 3
[1,6,5,2,4,3] => 6
[1,6,5,3,2,4] => 6
[1,6,5,3,4,2] => 6
[1,6,5,4,2,3] => 6
[1,6,5,4,3,2] => 10
[2,1,3,4,5,6] => 1
[2,1,3,4,6,5] => 2
[2,1,3,5,4,6] => 2
[2,1,3,5,6,4] => 2
[2,1,3,6,4,5] => 2
[2,1,3,6,5,4] => 4
[2,1,4,3,5,6] => 2
[2,1,4,3,6,5] => 3
[2,1,4,5,3,6] => 2
[2,1,4,5,6,3] => 2
[2,1,4,6,3,5] => 3
[2,1,4,6,5,3] => 4
[2,1,5,3,4,6] => 2
[2,1,5,3,6,4] => 3
[2,1,5,4,3,6] => 4
[2,1,5,4,6,3] => 4
[2,1,5,6,3,4] => 3
[2,1,5,6,4,3] => 4
[2,1,6,3,4,5] => 2
[2,1,6,3,5,4] => 4
[2,1,6,4,3,5] => 4
[2,1,6,4,5,3] => 4
[2,1,6,5,3,4] => 4
[2,1,6,5,4,3] => 7
[2,3,1,4,5,6] => 1
[2,3,1,4,6,5] => 2
[2,3,1,5,4,6] => 2
[2,3,1,5,6,4] => 2
[2,3,1,6,4,5] => 2
[2,3,1,6,5,4] => 4
[2,3,4,1,5,6] => 1
[2,3,4,1,6,5] => 2
[2,3,4,5,1,6] => 1
[2,3,4,5,6,1] => 1
[2,3,4,6,1,5] => 2
[2,3,4,6,5,1] => 3
[2,3,5,1,4,6] => 2
[2,3,5,1,6,4] => 2
[2,3,5,4,1,6] => 3
[2,3,5,4,6,1] => 3
[2,3,5,6,1,4] => 2
[2,3,5,6,4,1] => 3
[2,3,6,1,4,5] => 2
[2,3,6,1,5,4] => 4
[2,3,6,4,1,5] => 3
[2,3,6,4,5,1] => 3
[2,3,6,5,1,4] => 4
[2,3,6,5,4,1] => 6
[2,4,1,3,5,6] => 2
[2,4,1,3,6,5] => 3
[2,4,1,5,3,6] => 2
[2,4,1,5,6,3] => 2
[2,4,1,6,3,5] => 3
[2,4,1,6,5,3] => 4
[2,4,3,1,5,6] => 3
[2,4,3,1,6,5] => 4
[2,4,3,5,1,6] => 3
[2,4,3,5,6,1] => 3
[2,4,3,6,1,5] => 4
[2,4,3,6,5,1] => 4
[2,4,5,1,3,6] => 2
[2,4,5,1,6,3] => 2
[2,4,5,3,1,6] => 3
[2,4,5,3,6,1] => 3
[2,4,5,6,1,3] => 2
[2,4,5,6,3,1] => 3
[2,4,6,1,3,5] => 3
[2,4,6,1,5,3] => 4
[2,4,6,3,1,5] => 4
[2,4,6,3,5,1] => 4
[2,4,6,5,1,3] => 4
[2,4,6,5,3,1] => 6
[2,5,1,3,4,6] => 2
[2,5,1,3,6,4] => 3
[2,5,1,4,3,6] => 4
[2,5,1,4,6,3] => 4
[2,5,1,6,3,4] => 3
[2,5,1,6,4,3] => 4
[2,5,3,1,4,6] => 3
[2,5,3,1,6,4] => 4
[2,5,3,4,1,6] => 3
[2,5,3,4,6,1] => 3
[2,5,3,6,1,4] => 4
[2,5,3,6,4,1] => 4
[2,5,4,1,3,6] => 4
[2,5,4,1,6,3] => 4
[2,5,4,3,1,6] => 6
[2,5,4,3,6,1] => 6
[2,5,4,6,1,3] => 4
[2,5,4,6,3,1] => 6
[2,5,6,1,3,4] => 3
[2,5,6,1,4,3] => 4
[2,5,6,3,1,4] => 4
[2,5,6,3,4,1] => 4
[2,5,6,4,1,3] => 4
[2,5,6,4,3,1] => 6
[2,6,1,3,4,5] => 2
[2,6,1,3,5,4] => 4
[2,6,1,4,3,5] => 4
[2,6,1,4,5,3] => 4
[2,6,1,5,3,4] => 4
[2,6,1,5,4,3] => 7
[2,6,3,1,4,5] => 3
[2,6,3,1,5,4] => 4
[2,6,3,4,1,5] => 3
[2,6,3,4,5,1] => 3
[2,6,3,5,1,4] => 4
[2,6,3,5,4,1] => 6
[2,6,4,1,3,5] => 4
[2,6,4,1,5,3] => 4
[2,6,4,3,1,5] => 6
[2,6,4,3,5,1] => 6
[2,6,4,5,1,3] => 4
[2,6,4,5,3,1] => 6
[2,6,5,1,3,4] => 4
[2,6,5,1,4,3] => 7
[2,6,5,3,1,4] => 6
[2,6,5,3,4,1] => 6
[2,6,5,4,1,3] => 7
[2,6,5,4,3,1] => 10
[3,1,2,4,5,6] => 1
[3,1,2,4,6,5] => 2
[3,1,2,5,4,6] => 2
[3,1,2,5,6,4] => 2
[3,1,2,6,4,5] => 2
[3,1,2,6,5,4] => 4
[3,1,4,2,5,6] => 2
[3,1,4,2,6,5] => 3
[3,1,4,5,2,6] => 2
[3,1,4,5,6,2] => 2
[3,1,4,6,2,5] => 3
[3,1,4,6,5,2] => 4
[3,1,5,2,4,6] => 2
[3,1,5,2,6,4] => 3
[3,1,5,4,2,6] => 4
[3,1,5,4,6,2] => 4
[3,1,5,6,2,4] => 3
[3,1,5,6,4,2] => 4
[3,1,6,2,4,5] => 2
[3,1,6,2,5,4] => 4
[3,1,6,4,2,5] => 4
[3,1,6,4,5,2] => 4
[3,1,6,5,2,4] => 4
[3,1,6,5,4,2] => 7
[3,2,1,4,5,6] => 3
[3,2,1,4,6,5] => 4
[3,2,1,5,4,6] => 4
[3,2,1,5,6,4] => 4
[3,2,1,6,4,5] => 4
[3,2,1,6,5,4] => 6
[3,2,4,1,5,6] => 3
[3,2,4,1,6,5] => 4
[3,2,4,5,1,6] => 3
[3,2,4,5,6,1] => 3
[3,2,4,6,1,5] => 4
[3,2,4,6,5,1] => 4
[3,2,5,1,4,6] => 4
[3,2,5,1,6,4] => 4
[3,2,5,4,1,6] => 4
[3,2,5,4,6,1] => 4
[3,2,5,6,1,4] => 4
[3,2,5,6,4,1] => 4
[3,2,6,1,4,5] => 4
[3,2,6,1,5,4] => 6
[3,2,6,4,1,5] => 4
[3,2,6,4,5,1] => 4
[3,2,6,5,1,4] => 6
[3,2,6,5,4,1] => 7
[3,4,1,2,5,6] => 2
[3,4,1,2,6,5] => 3
[3,4,1,5,2,6] => 2
[3,4,1,5,6,2] => 2
[3,4,1,6,2,5] => 3
[3,4,1,6,5,2] => 4
[3,4,2,1,5,6] => 3
[3,4,2,1,6,5] => 4
[3,4,2,5,1,6] => 3
[3,4,2,5,6,1] => 3
[3,4,2,6,1,5] => 4
[3,4,2,6,5,1] => 4
[3,4,5,1,2,6] => 2
[3,4,5,1,6,2] => 2
[3,4,5,2,1,6] => 3
[3,4,5,2,6,1] => 3
[3,4,5,6,1,2] => 2
[3,4,5,6,2,1] => 3
[3,4,6,1,2,5] => 3
[3,4,6,1,5,2] => 4
[3,4,6,2,1,5] => 4
[3,4,6,2,5,1] => 4
[3,4,6,5,1,2] => 4
[3,4,6,5,2,1] => 6
[3,5,1,2,4,6] => 2
[3,5,1,2,6,4] => 3
[3,5,1,4,2,6] => 4
[3,5,1,4,6,2] => 4
[3,5,1,6,2,4] => 3
[3,5,1,6,4,2] => 4
[3,5,2,1,4,6] => 4
[3,5,2,1,6,4] => 4
[3,5,2,4,1,6] => 4
[3,5,2,4,6,1] => 4
[3,5,2,6,1,4] => 4
[3,5,2,6,4,1] => 4
[3,5,4,1,2,6] => 4
[3,5,4,1,6,2] => 4
[3,5,4,2,1,6] => 6
[3,5,4,2,6,1] => 6
[3,5,4,6,1,2] => 4
[3,5,4,6,2,1] => 6
[3,5,6,1,2,4] => 3
[3,5,6,1,4,2] => 4
[3,5,6,2,1,4] => 4
[3,5,6,2,4,1] => 4
[3,5,6,4,1,2] => 4
[3,5,6,4,2,1] => 6
[3,6,1,2,4,5] => 2
[3,6,1,2,5,4] => 4
[3,6,1,4,2,5] => 4
[3,6,1,4,5,2] => 4
[3,6,1,5,2,4] => 4
[3,6,1,5,4,2] => 7
[3,6,2,1,4,5] => 4
[3,6,2,1,5,4] => 6
[3,6,2,4,1,5] => 4
[3,6,2,4,5,1] => 4
[3,6,2,5,1,4] => 6
[3,6,2,5,4,1] => 7
[3,6,4,1,2,5] => 4
[3,6,4,1,5,2] => 4
[3,6,4,2,1,5] => 6
[3,6,4,2,5,1] => 6
[3,6,4,5,1,2] => 4
[3,6,4,5,2,1] => 6
[3,6,5,1,2,4] => 4
[3,6,5,1,4,2] => 7
[3,6,5,2,1,4] => 7
[3,6,5,2,4,1] => 7
[3,6,5,4,1,2] => 7
[3,6,5,4,2,1] => 10
[4,1,2,3,5,6] => 1
[4,1,2,3,6,5] => 2
[4,1,2,5,3,6] => 2
[4,1,2,5,6,3] => 2
[4,1,2,6,3,5] => 2
[4,1,2,6,5,3] => 4
[4,1,3,2,5,6] => 3
[4,1,3,2,6,5] => 4
[4,1,3,5,2,6] => 3
[4,1,3,5,6,2] => 3
[4,1,3,6,2,5] => 4
[4,1,3,6,5,2] => 4
[4,1,5,2,3,6] => 2
[4,1,5,2,6,3] => 3
[4,1,5,3,2,6] => 4
[4,1,5,3,6,2] => 4
[4,1,5,6,2,3] => 3
[4,1,5,6,3,2] => 4
[4,1,6,2,3,5] => 2
[4,1,6,2,5,3] => 4
[4,1,6,3,2,5] => 4
[4,1,6,3,5,2] => 4
[4,1,6,5,2,3] => 4
[4,1,6,5,3,2] => 7
[4,2,1,3,5,6] => 3
[4,2,1,3,6,5] => 4
[4,2,1,5,3,6] => 4
[4,2,1,5,6,3] => 4
[4,2,1,6,3,5] => 4
[4,2,1,6,5,3] => 6
[4,2,3,1,5,6] => 3
[4,2,3,1,6,5] => 4
[4,2,3,5,1,6] => 3
[4,2,3,5,6,1] => 3
[4,2,3,6,1,5] => 4
[4,2,3,6,5,1] => 4
[4,2,5,1,3,6] => 4
[4,2,5,1,6,3] => 4
[4,2,5,3,1,6] => 4
[4,2,5,3,6,1] => 4
[4,2,5,6,1,3] => 4
[4,2,5,6,3,1] => 4
[4,2,6,1,3,5] => 4
[4,2,6,1,5,3] => 6
[4,2,6,3,1,5] => 4
[4,2,6,3,5,1] => 4
[4,2,6,5,1,3] => 6
[4,2,6,5,3,1] => 7
[4,3,1,2,5,6] => 3
[4,3,1,2,6,5] => 4
[4,3,1,5,2,6] => 4
[4,3,1,5,6,2] => 4
[4,3,1,6,2,5] => 4
[4,3,1,6,5,2] => 6
[4,3,2,1,5,6] => 6
[4,3,2,1,6,5] => 7
[4,3,2,5,1,6] => 6
[4,3,2,5,6,1] => 6
[4,3,2,6,1,5] => 7
[4,3,2,6,5,1] => 7
[4,3,5,1,2,6] => 4
[4,3,5,1,6,2] => 4
[4,3,5,2,1,6] => 6
[4,3,5,2,6,1] => 6
[4,3,5,6,1,2] => 4
[4,3,5,6,2,1] => 6
[4,3,6,1,2,5] => 4
[4,3,6,1,5,2] => 6
[4,3,6,2,1,5] => 7
[4,3,6,2,5,1] => 7
[4,3,6,5,1,2] => 6
[4,3,6,5,2,1] => 7
[4,5,1,2,3,6] => 2
[4,5,1,2,6,3] => 3
[4,5,1,3,2,6] => 4
[4,5,1,3,6,2] => 4
[4,5,1,6,2,3] => 3
[4,5,1,6,3,2] => 4
[4,5,2,1,3,6] => 4
[4,5,2,1,6,3] => 4
[4,5,2,3,1,6] => 4
[4,5,2,3,6,1] => 4
[4,5,2,6,1,3] => 4
[4,5,2,6,3,1] => 4
[4,5,3,1,2,6] => 4
[4,5,3,1,6,2] => 4
[4,5,3,2,1,6] => 6
[4,5,3,2,6,1] => 6
[4,5,3,6,1,2] => 4
[4,5,3,6,2,1] => 6
[4,5,6,1,2,3] => 3
[4,5,6,1,3,2] => 4
[4,5,6,2,1,3] => 4
[4,5,6,2,3,1] => 4
[4,5,6,3,1,2] => 4
[4,5,6,3,2,1] => 6
[4,6,1,2,3,5] => 2
[4,6,1,2,5,3] => 4
[4,6,1,3,2,5] => 4
[4,6,1,3,5,2] => 4
[4,6,1,5,2,3] => 4
[4,6,1,5,3,2] => 7
[4,6,2,1,3,5] => 4
[4,6,2,1,5,3] => 6
[4,6,2,3,1,5] => 4
[4,6,2,3,5,1] => 4
[4,6,2,5,1,3] => 6
[4,6,2,5,3,1] => 7
[4,6,3,1,2,5] => 4
[4,6,3,1,5,2] => 6
[4,6,3,2,1,5] => 7
[4,6,3,2,5,1] => 7
[4,6,3,5,1,2] => 6
[4,6,3,5,2,1] => 7
[4,6,5,1,2,3] => 4
[4,6,5,1,3,2] => 7
[4,6,5,2,1,3] => 7
[4,6,5,2,3,1] => 7
[4,6,5,3,1,2] => 7
[4,6,5,3,2,1] => 10
[5,1,2,3,4,6] => 1
[5,1,2,3,6,4] => 2
[5,1,2,4,3,6] => 3
[5,1,2,4,6,3] => 3
[5,1,2,6,3,4] => 2
[5,1,2,6,4,3] => 4
[5,1,3,2,4,6] => 3
[5,1,3,2,6,4] => 4
[5,1,3,4,2,6] => 3
[5,1,3,4,6,2] => 3
[5,1,3,6,2,4] => 4
[5,1,3,6,4,2] => 4
[5,1,4,2,3,6] => 3
[5,1,4,2,6,3] => 4
[5,1,4,3,2,6] => 6
[5,1,4,3,6,2] => 6
[5,1,4,6,2,3] => 4
[5,1,4,6,3,2] => 6
[5,1,6,2,3,4] => 2
[5,1,6,2,4,3] => 4
[5,1,6,3,2,4] => 4
[5,1,6,3,4,2] => 4
[5,1,6,4,2,3] => 4
[5,1,6,4,3,2] => 7
[5,2,1,3,4,6] => 3
[5,2,1,3,6,4] => 4
[5,2,1,4,3,6] => 4
[5,2,1,4,6,3] => 4
[5,2,1,6,3,4] => 4
[5,2,1,6,4,3] => 6
[5,2,3,1,4,6] => 3
[5,2,3,1,6,4] => 4
[5,2,3,4,1,6] => 3
[5,2,3,4,6,1] => 3
[5,2,3,6,1,4] => 4
[5,2,3,6,4,1] => 4
[5,2,4,1,3,6] => 4
[5,2,4,1,6,3] => 4
[5,2,4,3,1,6] => 6
[5,2,4,3,6,1] => 6
[5,2,4,6,1,3] => 4
[5,2,4,6,3,1] => 6
[5,2,6,1,3,4] => 4
[5,2,6,1,4,3] => 6
[5,2,6,3,1,4] => 4
[5,2,6,3,4,1] => 4
[5,2,6,4,1,3] => 6
[5,2,6,4,3,1] => 7
[5,3,1,2,4,6] => 3
[5,3,1,2,6,4] => 4
[5,3,1,4,2,6] => 4
[5,3,1,4,6,2] => 4
[5,3,1,6,2,4] => 4
[5,3,1,6,4,2] => 6
[5,3,2,1,4,6] => 6
[5,3,2,1,6,4] => 7
[5,3,2,4,1,6] => 6
[5,3,2,4,6,1] => 6
[5,3,2,6,1,4] => 7
[5,3,2,6,4,1] => 7
[5,3,4,1,2,6] => 4
[5,3,4,1,6,2] => 4
[5,3,4,2,1,6] => 6
[5,3,4,2,6,1] => 6
[5,3,4,6,1,2] => 4
[5,3,4,6,2,1] => 6
[5,3,6,1,2,4] => 4
[5,3,6,1,4,2] => 6
[5,3,6,2,1,4] => 7
[5,3,6,2,4,1] => 7
[5,3,6,4,1,2] => 6
[5,3,6,4,2,1] => 7
[5,4,1,2,3,6] => 3
[5,4,1,2,6,3] => 4
[5,4,1,3,2,6] => 6
[5,4,1,3,6,2] => 6
[5,4,1,6,2,3] => 4
[5,4,1,6,3,2] => 7
[5,4,2,1,3,6] => 6
[5,4,2,1,6,3] => 7
[5,4,2,3,1,6] => 6
[5,4,2,3,6,1] => 6
[5,4,2,6,1,3] => 7
[5,4,2,6,3,1] => 7
[5,4,3,1,2,6] => 6
[5,4,3,1,6,2] => 7
[5,4,3,2,1,6] => 10
[5,4,3,2,6,1] => 10
[5,4,3,6,1,2] => 7
[5,4,3,6,2,1] => 10
[5,4,6,1,2,3] => 4
[5,4,6,1,3,2] => 7
[5,4,6,2,1,3] => 7
[5,4,6,2,3,1] => 7
[5,4,6,3,1,2] => 7
[5,4,6,3,2,1] => 10
[5,6,1,2,3,4] => 2
[5,6,1,2,4,3] => 4
[5,6,1,3,2,4] => 4
[5,6,1,3,4,2] => 4
[5,6,1,4,2,3] => 4
[5,6,1,4,3,2] => 7
[5,6,2,1,3,4] => 4
[5,6,2,1,4,3] => 6
[5,6,2,3,1,4] => 4
[5,6,2,3,4,1] => 4
[5,6,2,4,1,3] => 6
[5,6,2,4,3,1] => 7
[5,6,3,1,2,4] => 4
[5,6,3,1,4,2] => 6
[5,6,3,2,1,4] => 7
[5,6,3,2,4,1] => 7
[5,6,3,4,1,2] => 6
[5,6,3,4,2,1] => 7
[5,6,4,1,2,3] => 4
[5,6,4,1,3,2] => 7
[5,6,4,2,1,3] => 7
[5,6,4,2,3,1] => 7
[5,6,4,3,1,2] => 7
[5,6,4,3,2,1] => 10
[6,1,2,3,4,5] => 1
[6,1,2,3,5,4] => 3
[6,1,2,4,3,5] => 3
[6,1,2,4,5,3] => 3
[6,1,2,5,3,4] => 3
[6,1,2,5,4,3] => 6
[6,1,3,2,4,5] => 3
[6,1,3,2,5,4] => 4
[6,1,3,4,2,5] => 3
[6,1,3,4,5,2] => 3
[6,1,3,5,2,4] => 4
[6,1,3,5,4,2] => 6
[6,1,4,2,3,5] => 3
[6,1,4,2,5,3] => 4
[6,1,4,3,2,5] => 6
[6,1,4,3,5,2] => 6
[6,1,4,5,2,3] => 4
[6,1,4,5,3,2] => 6
[6,1,5,2,3,4] => 3
[6,1,5,2,4,3] => 6
[6,1,5,3,2,4] => 6
[6,1,5,3,4,2] => 6
[6,1,5,4,2,3] => 6
[6,1,5,4,3,2] => 10
[6,2,1,3,4,5] => 3
[6,2,1,3,5,4] => 4
[6,2,1,4,3,5] => 4
[6,2,1,4,5,3] => 4
[6,2,1,5,3,4] => 4
[6,2,1,5,4,3] => 7
[6,2,3,1,4,5] => 3
[6,2,3,1,5,4] => 4
[6,2,3,4,1,5] => 3
[6,2,3,4,5,1] => 3
[6,2,3,5,1,4] => 4
[6,2,3,5,4,1] => 6
[6,2,4,1,3,5] => 4
[6,2,4,1,5,3] => 4
[6,2,4,3,1,5] => 6
[6,2,4,3,5,1] => 6
[6,2,4,5,1,3] => 4
[6,2,4,5,3,1] => 6
[6,2,5,1,3,4] => 4
[6,2,5,1,4,3] => 7
[6,2,5,3,1,4] => 6
[6,2,5,3,4,1] => 6
[6,2,5,4,1,3] => 7
[6,2,5,4,3,1] => 10
[6,3,1,2,4,5] => 3
[6,3,1,2,5,4] => 4
[6,3,1,4,2,5] => 4
[6,3,1,4,5,2] => 4
[6,3,1,5,2,4] => 4
[6,3,1,5,4,2] => 7
[6,3,2,1,4,5] => 6
[6,3,2,1,5,4] => 7
[6,3,2,4,1,5] => 6
[6,3,2,4,5,1] => 6
[6,3,2,5,1,4] => 7
[6,3,2,5,4,1] => 7
[6,3,4,1,2,5] => 4
[6,3,4,1,5,2] => 4
[6,3,4,2,1,5] => 6
[6,3,4,2,5,1] => 6
[6,3,4,5,1,2] => 4
[6,3,4,5,2,1] => 6
[6,3,5,1,2,4] => 4
[6,3,5,1,4,2] => 7
[6,3,5,2,1,4] => 7
[6,3,5,2,4,1] => 7
[6,3,5,4,1,2] => 7
[6,3,5,4,2,1] => 10
[6,4,1,2,3,5] => 3
[6,4,1,2,5,3] => 4
[6,4,1,3,2,5] => 6
[6,4,1,3,5,2] => 6
[6,4,1,5,2,3] => 4
[6,4,1,5,3,2] => 7
[6,4,2,1,3,5] => 6
[6,4,2,1,5,3] => 7
[6,4,2,3,1,5] => 6
[6,4,2,3,5,1] => 6
[6,4,2,5,1,3] => 7
[6,4,2,5,3,1] => 7
[6,4,3,1,2,5] => 6
[6,4,3,1,5,2] => 7
[6,4,3,2,1,5] => 10
[6,4,3,2,5,1] => 10
[6,4,3,5,1,2] => 7
[6,4,3,5,2,1] => 10
[6,4,5,1,2,3] => 4
[6,4,5,1,3,2] => 7
[6,4,5,2,1,3] => 7
[6,4,5,2,3,1] => 7
[6,4,5,3,1,2] => 7
[6,4,5,3,2,1] => 10
[6,5,1,2,3,4] => 3
[6,5,1,2,4,3] => 6
[6,5,1,3,2,4] => 6
[6,5,1,3,4,2] => 6
[6,5,1,4,2,3] => 6
[6,5,1,4,3,2] => 10
[6,5,2,1,3,4] => 6
[6,5,2,1,4,3] => 7
[6,5,2,3,1,4] => 6
[6,5,2,3,4,1] => 6
[6,5,2,4,1,3] => 7
[6,5,2,4,3,1] => 10
[6,5,3,1,2,4] => 6
[6,5,3,1,4,2] => 7
[6,5,3,2,1,4] => 10
[6,5,3,2,4,1] => 10
[6,5,3,4,1,2] => 7
[6,5,3,4,2,1] => 10
[6,5,4,1,2,3] => 6
[6,5,4,1,3,2] => 10
[6,5,4,2,1,3] => 10
[6,5,4,2,3,1] => 10
[6,5,4,3,1,2] => 10
[6,5,4,3,2,1] => 15

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Created: Aug 14, 2020 at 20:27 by Rene Marczinzik

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Last Updated: Apr 26, 2023 at 14:16 by Nadia Lafreniere