Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Can somebody please go through these questions? Consider a recursion tree that looks like this: n2 (n/22 (n/2) (n/2) (14)* (14) (14) (1/4)2 (1/4) (/4)

image text in transcribedimage text in transcribed

Can somebody please go through these questions?

Consider a recursion tree that looks like this: n2 (n/22 (n/2) (n/2) (14)* (14) (14) (1/4)2 (1/4) (/4) (1/4) (14) (1/4)* 1. Suppose this tree is generated by the recurrence relation T(n) = aT(n/6) + n. a) Give a non-negative integer or rational number for a. ---- b) Give a non-negative integer or rational number for b... c) Give a non-negative integer or rational number for k. ----- 2. Roughly (to within +/-1) how many levels would there be in this tree, as a function of n? Pick the best answer. a) na b) 2n c) n d) log(n) 3. How many leaves would there be in this tree, as a function of n? Pick the best answer. a) na b) n c) nalog23 d) logan 4. Solve the recurrence to obtain an asymptotic expression for T(n) as a function of n. Pick the best answer. a) T(n) is about 2" for large n. b) T(n) is about 4n2 for large n. c) T(n) is about n2 for large n d) T(n) is about logan for large n. Now consider a recursion tree that looks like this: n (2n/3) (40/9) (4n/9) (21/3) (4n/9) (40/9) 5.Suppose this tree is generated by the recurrence relation T(n) = aT(n/6) + n. a) Give a non-negative integer or rational number for a. ----- b) Give a non-negative integer or rational number for b. ----- c) Give a non-negative integer or rational number for k. ----- 6. Roughly how many levels would there be in this tree, as a function of n? Pick the best answer. a) na b) 2n c) n d) log(3/2)(n) 7. How many leaves would there be in this tree, as a function of n? Pick the best answer. a) 3/2 b) n c) nlogs/22 d) logs/27 8. Solve the recurrence to obtain an asymptotic expression for T(n) as a function of n. Pick the best answer. a) T(n) is about (3/2)" for large n. b) T(n) is about 4n lang/22 for large n. c) T(n) is about na for large n d) T(n) is about logs/2n for large n

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Principles Of Database Systems With Internet And Java Applications

Authors: Greg Riccardi

1st Edition

020161247X, 978-0201612479

More Books

Students also viewed these Databases questions

Question

Name three events that might change the balance of the plan assets.

Answered: 1 week ago

Question

1. In what ways has flexible working revolutionised employment?

Answered: 1 week ago