ACBX

AcronymDefinition
ACBXAdvanced Cabin Baggage X-Ray (airport security)
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In the first case we have abcx with a < b < c and b > x (because [tau] avoids 132), and we can make the transformations abcx [right arrow] acbx [right arrow] axbc, arriving at a permutation with two fewer inversions.
In the first case we have abcx with a < b < c and b > x ([tau] avoids 132), and we can make the transformations abcx [right arrow] acbx [right arrow] axbc, arriving at a permutation with two fewer inversions.