A website has a test bank of questions. Students use the website to sharpen their skills. Teachers also use it to generate quizzes. Suppose the website generated n questions for Teacher Alice. It also provided her a size-n array T such that Ti] denotes the topic covered by question i. Teacher Alice wants to rearrange the questions so no two consecutive questions cover the same topic. That is, we say the questions are scrambled. For example, if T = [2, 3, 2, 2, 1, 3] then Teacher Alice can rcorder the questions as 1,2, 3, 5, 4, 6 so the new topic-array is [2,3, 2, 1, 2, 3]. Q ----> Assume the questions covers topics 1, 2, ..., ki, where k is some constant. Given a size-n array T, design an O(n)-time algorithm that outputs a scrambled ordering of the questions if it's possible and returns –1 otherwise. Again, justify the correctness of your algorithm and explain why it runs in lincar time. For exam- ple, if the input is T = [2, 3, 2, 2, 1, 3], your algorithm should output 1,2, 3, 5, 4, 6. On the other hand, if the input is T = [3,1, 1, 2, 1, 1], your algorithm outputs -1.
A website has a test bank of questions. Students use the website to sharpen their skills. Teachers also use it to generate quizzes. Suppose the website generated n questions for Teacher Alice. It also provided her a size-n array T such that Ti] denotes the topic covered by question i. Teacher Alice wants to rearrange the questions so no two consecutive questions cover the same topic. That is, we say the questions are scrambled. For example, if T = [2, 3, 2, 2, 1, 3] then Teacher Alice can rcorder the questions as 1,2, 3, 5, 4, 6 so the new topic-array is [2,3, 2, 1, 2, 3]. Q ----> Assume the questions covers topics 1, 2, ..., ki, where k is some constant. Given a size-n array T, design an O(n)-time algorithm that outputs a scrambled ordering of the questions if it's possible and returns –1 otherwise. Again, justify the correctness of your algorithm and explain why it runs in lincar time. For exam- ple, if the input is T = [2, 3, 2, 2, 1, 3], your algorithm should output 1,2, 3, 5, 4, 6. On the other hand, if the input is T = [3,1, 1, 2, 1, 1], your algorithm outputs -1.
Programming Logic & Design Comprehensive
9th Edition
ISBN:9781337669405
Author:FARRELL
Publisher:FARRELL
Chapter6: Arrays
Section: Chapter Questions
Problem 17RQ
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