Construct the Suffix Array of a String solved by 357

March 18, 2014, 8:26 p.m. by Rosalind Team

In “Find the Longest Repeat in a String”, we saw that suffix trees can be too memory intensive to apply in practice.

In 1993, Udi Manber and Gene Myers introduced suffix arrays as a memory-efficient alternative to suffix trees. To construct SuffixArray(Text), we first sort all suffixes of Text lexicographically, assuming that "$" comes first in the alphabet. The suffix array is the list of starting positions of these sorted suffixes. For example,

SuffixArray("panamabananas$") = (13, 5, 3, 1, 7, 9, 11, 6, 4, 2, 8, 10, 0, 12).

Suffix Array Construction Problem

Construct the suffix array of a string.

Given: A string Text.

Return: SuffixArray(Text).

Sample Dataset

AACGATAGCGGTAGA$

Sample Output

15, 14, 0, 1, 12, 6, 4, 2, 8, 13, 3, 7, 9, 10, 11, 5

Extra Datasets

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