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  • https://math.libretexts.org/Bookshelves/Applied_Mathematics/Mathematical_Biology_(Chasnov)/07%3A_Sequence_Alignment/7.02%3A_Brute_Force_Alignment
    One (bad) approach to sequence alignment is to align the two sequences in all possible ways, score the alignments with an assumed scoring system, and determine the highest scoring alignment. The probl...One (bad) approach to sequence alignment is to align the two sequences in all possible ways, score the alignments with an assumed scoring system, and determine the highest scoring alignment. The problem with this brute-force approach is that the number of possible alignments grows exponentially with sequence length; and for sequences of reasonable length, the computation is already impossible.

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