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now that weamp;#39;ve seen bit vectors and weamp;#39;ve seen wavelet trees I want to return to the burrows-wheeler transform because we can now talk about how we can use the burrows-wheeler transform in an efficient way to index a text and to allow us to do queries on texts okay and so armed with this new tool of wavelet trees letamp;#39;s return to a specific question that we delayed until now which was how do we reverse the burrows-wheeler transform efficiently we learned how to do it but when we were doing it ourselves we were going through this process where we were just sort of visually following the process of jumping to the row in the first column where we have the same character with the same rank as the character we were looking at in the last column right so like we started in the first row we found the a of rank 3 then we looked over here and saw the a of rank 3 and so we said we jump to here and we sell to B of rank 1 and then jump to here and then we saw the a of rank 2