That produces a different output than your original post, but if that's what you want, it can be simplified to: 

my @sorted_indexes = sort { $array[$a] cmp $array[$b] } 0..$#array;

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Note that cmp (not <=>) should be used here since you are comparing strings (not numbers).

In reply to Re^2: Remembering original order of an array by ikegami
in thread Remembering original order of an array by seaver

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