Question

1a. Use the substitution method to prove that, if T(n) = T(n/3) + 5, then T(n)...

1a. Use the substitution method to prove that, if T(n) = T(n/3) + 5, then T(n) = O(log n). Hint: do not forget the inductive assumption.

1b. Given the recurrence T(n) = 2T(b √ nc) + n, determine the big-Θ height of its associated recursion tree.

1c. For the recurrence in part b, provide a mathematical formula for the total work that is performed at depth 4 of the associated recursion tree. Hint: the root has depth equal to zero.

Engineering   Computer-Science   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Use mathematical induction to prove the solution of problem T(n) = 9T(n/3) + n, T(n) =...
Use mathematical induction to prove the solution of problem T(n) = 9T(n/3) + n, T(n) = _____________________________. is correct (Only prove the big-O part of the result. Hint: Consider strengthening your inductive hypothesis if failed in your first try.)
Use a recursion tree to determine a good asymptotic upper bound on the recurrence T(n) =...
Use a recursion tree to determine a good asymptotic upper bound on the recurrence T(n) = 2T(n/3) + n Use the substitution method to verify your answer.
Use a recursion tree to determine a good asymptotic upper bound on the recurrence T(n) =...
Use a recursion tree to determine a good asymptotic upper bound on the recurrence T(n) = 2T(n/3) + 2n. Use the substitution method to verify your answer.
Given T(n)= T(n-1) + 2*n, using the substitution method prove that its big O for T(n)...
Given T(n)= T(n-1) + 2*n, using the substitution method prove that its big O for T(n) is O(n^2). 1. You must provide full proof. 2. Determine the value or the range of C.
Use the substitution method to show that for the recurrence equation: T( 1 )=2 T( n...
Use the substitution method to show that for the recurrence equation: T( 1 )=2 T( n )=T(n-1) + 4n the solution is T( n )= Big Theta( n2 )
Master Theorem: Let T(n) = aT(n/b) + f(n) for some constants a ≥ 1, b >...
Master Theorem: Let T(n) = aT(n/b) + f(n) for some constants a ≥ 1, b > 1. (1). If f(n) = O(n logb a− ) for some constant > 0, then T(n) = Θ(n logb a ). (2). If f(n) = Θ(n logb a ), then T(n) = Θ(n logb a log n). (3). If f(n) = Ω(n logb a+ ) for some constant > 0, and af(n/b) ≤ cf(n) for some constant c < 1, for all large n,...
give T(n)=T(n-1)+2^n use substituiton method prove that it’s big oh O(n^2)
give T(n)=T(n-1)+2^n use substituiton method prove that it’s big oh O(n^2)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT