as Y . Thus, if X = GAXTYAWBGTAUGBTABGRGTAXB and Y = GTAB, then the answer is 3 as shown by the red fonts. We cannot select the underlined GTAB as it overlaps with a red GTAB (i.e., among overlapping sub-sequences, you can select only one of them). Describe an O(m + n) time algorithm to obtain the count. Write a pseudo-code.
as Y . Thus, if X = GAXTYAWBGTAUGBTABGRGTAXB and Y = GTAB, then the answer is 3 as shown by the red fonts. We cannot select the underlined GTAB as it overlaps with a red GTAB (i.e., among overlapping sub-sequences, you can select only one of them). Describe an O(m + n) time algorithm to obtain the count. Write a pseudo-code.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Question
You are given a string X of length n and another string Y of length m ≤n. Say,
the indexes p1, p2, p3, p4 and q1, q2, q3, q4 form two sub-sequences, i.e., 0 ≤ p1 < p2 < p3 < p4 < n
and 0 ≤q1 < q2 < q3 < q4 < n; then, they are non-overlapping if p4 < q1.
The task is to count the maximum number of non-overlapping sub-sequences of X that are the
same as Y . Thus, if X = GAXTYAWBGTAUGBTABGRGTAXB and Y = GTAB, then the answer is
3 as shown by the red fonts. We cannot select the underlined GTAB as it overlaps with a red GTAB
(i.e., among overlapping sub-sequences, you can select only one of them).
Describe an O(m + n) time
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