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Longest common subsequence
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=== First property === ''LCS''(''X''^''A'',''Y''^''A'') = ''LCS''(''X'',''Y'')^''A'', for all strings ''X'', ''Y'' and all symbols ''A'', where ^ denotes string concatenation. This allows one to simplify the ''LCS'' computation for two sequences ending in the same symbol. For example, ''LCS''("BANANA","ATANA") = ''LCS''("BANAN","ATAN")^"A", Continuing for the remaining common symbols, ''LCS''("BANANA","ATANA") = ''LCS''("BAN","AT")^"ANA".
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