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Permutation/8/25731486/Inversions/Sign/Exercise

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Compute, for the permutation

${}x$	${}1$	${}2$	${}3$	${}4$	${}5$	${}6$	${}7$	${}8$
${}\sigma (x)$	${}2$	${}5$	${}7$	${}3$	${}1$	${}4$	${}8$	${}6$

the number of inversions and the sign.

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Mathematical exercise