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Recurrence Complexity Calculations

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Questions and Answers

What is the solution to the recurrence relation T(n) = T(n - 5) + c?

T(n) = Θ(n) (correct)

T(n) = Θ(1)

T(n) = Θ(n^2)

T(n) = Θ(log n)

Which of the following describes the growth of T(n) = T(n/5) + c?

T(n) = Θ(n^5)

T(n) = Θ(n)

T(n) = Θ(log n) (correct)

T(n) = Θ(5^n)

In the recurrence T(n) = 2T(n/2) + c, what is the complexity of T(n)?

T(n) = Θ(log n)

T(n) = Θ(n^2)

T(n) = Θ(n)

T(n) = Θ(n log n) (correct)

What is the dominant term in the recurrence relation T(n) = cn + T(n/4) + T(3n/4)?

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If a function T(n) has the relation T(n) = T(n/2) + 5n, what is the expected complexity?

<p>T(n) = Θ(n log n)</p> Signup and view all the answers

Study Notes

Recurrence Complexity Calculations

Solve for the following recurrence equations using guess and check and induction:
- T(n) = T(n - 5) + c
- T(n) = T(n/5) + c
- T(n) = 2T(n/2) + c
- T(n) = cn + T(n/4) + T(3n/4)

Finding Complexity with Recurrence Relations

Determine the time complexity of the function using recurrence relations:

def recursiveF1(n,m,o):
   if n 
- --

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Description

This quiz focuses on solving recurrence equations using various methods like guess and check, as well as induction. Participants will tackle different types of recurrence relations to determine their time complexities, enhancing their understanding of algorithm analysis.