The Burrows-Wheeler transform (BWT) is a data compression algorithm that is utilised in high-throughput genomic sequencing. Make a SuffixArray client that performs the following BWT computation in linear time: Consider the N-by-N matrix, where each row represents a different cyclic rotation of the original text string, given an N-by-N string (ended by a special end-of-file character $ that is smaller than any other character). Sort the columns alphabetically. The Burrows-Wheeler transform is represented by the rightmost column of the sorted matrix. Mississippi's BWT, for example, is ipssm$pissii. The Burrows-Wheeler inverse transform is used to invert the BWT (BWI). Mississippi$, for example, is the BWI of ipssm$pissii. Create a client that quickly calculates the BWI given the BWT of a text string.

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