The improved algorithm for finding the occurrences of sequence P[1, . . . , m] in sequence T[1, . . . , n] can also be implemented in Perl in a straightforward way, as shown in the following Perl script. Recall that the suffix array of the sequence T[1, . . . , n] will be a permutation of array positions 0, 1, . . . , n − 1, because Perl arrays do not start with position 1 but, rather, with position 0.

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Recurrence relation

A recurrence relation or recursive relation is an equation that represents a function in terms of the values of its smaller inputs. Every recurrence relation T(n) is a recursive function of integer n and consists of a base case and a recursive case.