Computer Science Engineering (CSE) Exam  >  Computer Science Engineering (CSE) Questions  >  Which one of the following is the recurrence ... Start Learning for Free
Which one of the following is the recurrence equation for the worst case time complexity of the Quicksort algorithm for sorting n(≥ 2) numbers? In the recurrence equations given in the options below, c is a constant.
  • a)
    T(n)= 2T{nl2) + cn
  • b)
    T (n )= T ( n - 1 ) + T(1) + cn
  • c)
    T( n ) = 2 T( n - 1) + cn
  • d)
    T(n)= T(n/2) + cn
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Which one of the following is the recurrence equation for the worst ca...
In worst case the pivot element position may be either first or last. In that case the elements are always divided in 1 : (n - 1) proportion. The recurrence relation for such a proportional division would be
View all questions of this test
Most Upvoted Answer
Which one of the following is the recurrence equation for the worst ca...
The correct recurrence equation for the worst case time complexity of the Quicksort algorithm for sorting n elements is:

T(n) = T(n-1) + T(0) + O(n)

This equation represents the time complexity of the algorithm when the pivot chosen is always the smallest or largest element in the partition, leading to unbalanced partitions. In this case, the algorithm essentially reduces the problem size by one for each recursive call, resulting in a worst-case time complexity of O(n^2).
Explore Courses for Computer Science Engineering (CSE) exam

Top Courses for Computer Science Engineering (CSE)

Which one of the following is the recurrence equation for the worst case time complexity of the Quicksort algorithm for sorting n(≥ 2) numbers? In the recurrence equations given in the options below, c is a constant.a)T(n)= 2T{nl2) + cnb)T (n )= T ( n - 1 ) + T(1) + cnc)T( n ) = 2 T( n - 1) + cnd)T(n)= T(n/2) + cnCorrect answer is option 'B'. Can you explain this answer?
Question Description
Which one of the following is the recurrence equation for the worst case time complexity of the Quicksort algorithm for sorting n(≥ 2) numbers? In the recurrence equations given in the options below, c is a constant.a)T(n)= 2T{nl2) + cnb)T (n )= T ( n - 1 ) + T(1) + cnc)T( n ) = 2 T( n - 1) + cnd)T(n)= T(n/2) + cnCorrect answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Which one of the following is the recurrence equation for the worst case time complexity of the Quicksort algorithm for sorting n(≥ 2) numbers? In the recurrence equations given in the options below, c is a constant.a)T(n)= 2T{nl2) + cnb)T (n )= T ( n - 1 ) + T(1) + cnc)T( n ) = 2 T( n - 1) + cnd)T(n)= T(n/2) + cnCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which one of the following is the recurrence equation for the worst case time complexity of the Quicksort algorithm for sorting n(≥ 2) numbers? In the recurrence equations given in the options below, c is a constant.a)T(n)= 2T{nl2) + cnb)T (n )= T ( n - 1 ) + T(1) + cnc)T( n ) = 2 T( n - 1) + cnd)T(n)= T(n/2) + cnCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Which one of the following is the recurrence equation for the worst case time complexity of the Quicksort algorithm for sorting n(≥ 2) numbers? In the recurrence equations given in the options below, c is a constant.a)T(n)= 2T{nl2) + cnb)T (n )= T ( n - 1 ) + T(1) + cnc)T( n ) = 2 T( n - 1) + cnd)T(n)= T(n/2) + cnCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE). Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
Here you can find the meaning of Which one of the following is the recurrence equation for the worst case time complexity of the Quicksort algorithm for sorting n(≥ 2) numbers? In the recurrence equations given in the options below, c is a constant.a)T(n)= 2T{nl2) + cnb)T (n )= T ( n - 1 ) + T(1) + cnc)T( n ) = 2 T( n - 1) + cnd)T(n)= T(n/2) + cnCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Which one of the following is the recurrence equation for the worst case time complexity of the Quicksort algorithm for sorting n(≥ 2) numbers? In the recurrence equations given in the options below, c is a constant.a)T(n)= 2T{nl2) + cnb)T (n )= T ( n - 1 ) + T(1) + cnc)T( n ) = 2 T( n - 1) + cnd)T(n)= T(n/2) + cnCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Which one of the following is the recurrence equation for the worst case time complexity of the Quicksort algorithm for sorting n(≥ 2) numbers? In the recurrence equations given in the options below, c is a constant.a)T(n)= 2T{nl2) + cnb)T (n )= T ( n - 1 ) + T(1) + cnc)T( n ) = 2 T( n - 1) + cnd)T(n)= T(n/2) + cnCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Which one of the following is the recurrence equation for the worst case time complexity of the Quicksort algorithm for sorting n(≥ 2) numbers? In the recurrence equations given in the options below, c is a constant.a)T(n)= 2T{nl2) + cnb)T (n )= T ( n - 1 ) + T(1) + cnc)T( n ) = 2 T( n - 1) + cnd)T(n)= T(n/2) + cnCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Which one of the following is the recurrence equation for the worst case time complexity of the Quicksort algorithm for sorting n(≥ 2) numbers? In the recurrence equations given in the options below, c is a constant.a)T(n)= 2T{nl2) + cnb)T (n )= T ( n - 1 ) + T(1) + cnc)T( n ) = 2 T( n - 1) + cnd)T(n)= T(n/2) + cnCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
Explore Courses for Computer Science Engineering (CSE) exam

Top Courses for Computer Science Engineering (CSE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev