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In computer science, the lexicographically minimal string rotation or lexicographically least circular substring is the problem of finding the rotation of a string possessing the lowest lexicographical order of all such rotations. For example, the lexicographically minimal rotation of "bbaaccaadd" would be "aaccaaddbb".
If n is greater than the length of the string then most implementations return the whole string (exceptions exist – see code examples). Note that for variable-length encodings such as UTF-8 , UTF-16 or Shift-JIS , it can be necessary to remove string positions at the end, in order to avoid invalid strings.
Suffix arrays are closely related to suffix trees: . Suffix arrays can be constructed by performing a depth-first traversal of a suffix tree. The suffix array corresponds to the leaf-labels given in the order in which these are visited during the traversal, if edges are visited in the lexicographical order of their first character.
For a simple quoted string literal, the evaluator needs to remove only the quotes, but the evaluator for an escaped string literal incorporates a lexer, which unescapes the escape sequences. For example, in the source code of a computer program, the string net_worth_future = (assets – liabilities);
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Let be the suffix array of the string =,, … $ of length , where $ is a sentinel letter that is unique and lexicographically smaller than any other character. Let S [ i , j ] {\displaystyle S[i,j]} denote the substring of S {\displaystyle S} ranging from i {\displaystyle i} to j {\displaystyle j} .
For instance, the lexical grammar for many programming languages specifies that a string literal starts with a " character and continues until a matching " is found (escaping makes this more complicated), that an identifier is an alphanumeric sequence (letters and digits, usually also allowing underscores, and disallowing initial digits), and ...
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