Question

What is the logic/pseudocode behind suffix array pattern search and its efficiency?

Answer 1

The logic behind suffix array pattern search is to create a sorted list of suffixes and use binary search. It has a time complexity of O(m log n).

Step-by-step explanation:

The logic behind the suffix array pattern search is to create a sorted list of all the suffixes of a given text and then use binary search to find the pattern we are looking for. The pseudocode for suffix array pattern search involves the following steps:

1. Create a suffix array by sorting all the suffixes of the text.
2. Perform a binary search on the suffix array to find the pattern we are searching for.
3. If the pattern is found, return the index where the pattern starts in the text.
4. If the pattern is not found, return -1.

Using the suffix array pattern search has an efficiency of O(m log n), where m is the length of the pattern and n is the length of the text. This is because creating the suffix array takes O(n log n) time and binary search takes O(log n) time, resulting in a total time complexity of O(m log n).