Problem 3. Recursion Tree Q5. Match the following questions with their answers. Hint: Draw the recursion tree before answering the questions. How many levels in this recursion tree T(n) = 2T(n/3) + 2n if n = 9 What is the cost of the first level of this recursion tree T(n) = 2T(n/3) + 2n if n = 9? What is the cost of the last level of this recursion tree T(n) if n = 9= 2T(n/3) + 2n if n = 9? What is the total cost of this recursion tree T(n) = 2T(n/3) + 2n if n = 9? [Choose ] [Choose ] [Choose ] [Choose ] > >

Problem 3. Recursion Tree Q5. Match the following questions with their answers. Hint: Draw the recursion tree before answering the questions. How many levels in this recursion tree T(n) = 2T(n/3) + 2n if n = 9 What is the cost of the first level of this recursion tree T(n) = 2T(n/3) + 2n if n = 9? What is the cost of the last level of this recursion tree T(n) if n = 9= 2T(n/3) + 2n if n = 9? What is the total cost of this recursion tree T(n) = 2T(n/3) + 2n if n = 9? [Choose ] [Choose ] [Choose ] [Choose ] > >

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Create a recursion tree for T(n)=3T(n/2)+2n^2, with T(1)=c2, for n=8 . calculates the total number of comparisons.
Using the recursion tree method find the upper and lower bounds for the following recurrence (if they are the same, find the tight bound). T (n) = T (n/2) + 2T (n/3) + n.
Question Three A. Given the following Binary Search Tree (BST): 1. Write the pre-order of the nodes visited: 2. What is the height of the tree? 3. Remove the node E from the tree and re-draw the tree after removing the node B. What would be returned (if n is 5) after executing the following recursive int fun(int n) 1 if (n<2) return 2: else return 4+funin-1), C. Given a following graph: V= (a,b,c,d.f). E=((b.c).(c.b).(a.f).(d.a)) A. Draw the above graph. B. Is the graph( Directed - undirected / Connected- disconnected / Complete)? C. What is the size of the graph? 4/6
Given the following infix expression: (28 * (33 - 3) + 10) / (4 * 0.5) % 4 Give the equivalent postfix expression Draw the tree corresponding to the recursive calls to evaluate the postfix expression. What is the depth of your tree?
2. method. Assume that T(1) (1). Solve the following recurrences using the recursion tree d. T(n) = 4T(n/2) + n e. T(n) = 2T(n-2) +1 f. T(n)= T(n/2) +T(n/3) + n
How many calls? A recursive algorithm that solves a problem is expressedby the following relation: T(n) = 4T(n/3) + n . Draw a recursive call tree and usethis tree to estimate the number of recursive calls. Explain your exact calculations orapproximate estimate. Other methods may be used to verify the result.3.
Assume there is a rooted tree A. Write a recursive program that returns both the number of nodes(N) and number of edges(E) in A.
Use the recursive strategy described in the chapter to implement a binary tree. Each node in this method is a binary tree. Thus, a binary tree includes references to its left and right subtrees in addition to the element stored at its root.You could also wish to make mention of its progenitor.
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binomial tree, Bn is defined recursively as follows. B0 is the tree with a single vertex.Create Bn+1, where n is a nonegative integer, by making two copies of Bn; the first copy becomes the root tree of Bn+1, and the second copy becomes the leftmost child of the root in the first copy.Here are examples for n = 0 to 3: Draw the binomial tree for n = 4 (it pays to do this neatly and carefully as it will makes the rest of the questions easier to answer). Create a table that has the depth of each of B0 to B4 (note that B0 has a depth of 1). Determine the formula for these as a function of n, and include in your table your calculation for B5 (you should NOT have to draw B5!). Create a table that has the number of nodes in each of B0 to B4. Determine the formula for these as a function of n, and include in your table your calculation for B5 (you should NOT have to draw B5!).
Draw the recursion tree:
Draw the recursion tree to compute Fibonacci number for n=6.