What This Document Is
This document contains solutions to Homework 1B for Georgia Tech’s Design and Analysis Algorithms course (CS 3510), assigned on September 13th. It’s a completed assignment submitted by a student, detailing their approach and answers to the posed problems. The homework focuses on algorithmic design and analysis, specifically utilizing divide and conquer strategies.
Why This Document Matters
This document is valuable for students currently enrolled in CS 3510 who are seeking to check their own work on Homework 1B. It can serve as a reference point for understanding potential solution approaches and identifying areas where their own solutions may differ. It’s particularly useful for clarifying understanding of concepts related to logarithmic time complexity and algorithmic correctness proofs.
Common Limitations or Challenges
This document represents *one* student’s solutions. It does not represent an official answer key or encompass all possible correct approaches. Relying solely on this document without independent problem-solving may hinder a student’s learning process. It also doesn't provide detailed explanations of *why* certain approaches were chosen, only the solutions themselves.
What This Document Provides
The full document includes:
* A response to a group working clarification question.
* A solution to Problem 2, involving a divide and conquer algorithm to find an element in a sorted array satisfying a specific condition, with a correctness justification and runtime analysis.
* A solution to Problem 3, concerning searching a sorted array of unknown length, also with justification and runtime analysis.
* A solution to Problem 4, addressing modular arithmetic and polynomial congruence, including a proof and a modular calculation.
This preview does *not* include the detailed algorithmic code, proofs, or calculations contained within the full solutions. It only provides a high-level overview of the homework’s content.
