Given the recursive algorithms below: - Express the time complexity using recurrence equation. - Simplify the recurrence equation using the master theorem. - Simplify the recurrence equation using repeated substitution. a) int recursive(int n) { int sum=0, i; if (n==1) return 1; else { for (i = 1; i <= n; i++) { sum = sum + i; }} return sum+ recursive(n/2) + recursive(n/2); } }

Given the recursive algorithms below: - Express the time complexity using recurrence equation. - Simplify the recurrence equation using the master theorem. - Simplify the recurrence equation using repeated substitution. a) int recursive(int n) { int sum=0, i; if (n==1) return 1; else { for (i = 1; i <= n; i++) { sum = sum + i; }} return sum+ recursive(n/2) + recursive(n/2); } }

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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For funX |C Solved xb Answer x+ CodeW X https://codeworko... 田) CodeWorkout X267: Recursion Programming Exercise: Cumulative Sum For function sumtok, write the missing recursive call. This function returns the sum of the values from1 to k. Examples: sumtok(5) -> 15 Your Answer: 1 public int sumtok(int k) { 2. } (0 => ) return 0; 3. } else { return > 6. { Check my answer! Reset Next exercise 1:09 AM
Use back substitution method to compute the following recursive function. Note that final results must be presented as a function of n. Show at least three substitutions before moving to k steps to get credit.
iii. Let K be an integer and suppose F(K) is recursively defined by: F( int k) If (k==0) return 5 else return F(k-1)+2 Find and Trace F(7)
1. Consider the following program: Algorithm recursive (int n){ IF n<= 3 then return (0); ELSE recursive(n/3); recursive(n/3); recursive(n/3); FOR i=1 to n do something; ENDFOR ENDIF a. What is the recurrence relation? b. Solve the recurrence relation from (a) in terms of n and show the O(). Attach File Browse My Computer Browse Content Collection A Moving to the next question prevents changes to this answer. O Type here to search
Algorithm problem w/ recurrence: Frying pancakes: a small pan can only hold two pancakes at a time. Each pancake needs to be fried on both sides. Frying one side takes 1 minute, no matter how many pancakes are on the pan. Consider this recursive algorithm: If n <= 2, fry the pancakes or the two pancakes together on each side. If n > 2, fry any two pancakes together on each side and then apply the same process recursively to the remaining n-2 pancakes. a. Set up and solve the recurrence for the amount of time this algorithm needs to fry n pancakes. b. Explain why this algorithm does not fry the pancakes in the minimum time for all n > 0. c. Give a correct recursive algorithm that executes the task in the minimum amount of time. > I was not sure how to start this. I have had trouble with recurrence in the past. Also from the work that I did do, I didn't know how there could be a better algorithm. Thanks in advance
Ackermann’s function is a recursive mathematical algorithm that can be used to test how well a computer performs recursion. Write a function A(m, n) that solves Ackermann’s function. Use the following logic in your function: If m = 0 then return n + 1 If n = 0 then return A(m-1, 1) Otherwise, return A(m-1, A(m, n-1)) Test your function in a driver program that displays the following values:A(0, 0) A(0, 1) A(1, 1) A(1, 2) A(1, 3) A(2, 2) A(3, 2)
A recursive sequence is defined by - d k = 6 d k − 1 + 3 , for all integers k ≥ 2 and d1 = 2 Use iteration to guess an explicit formula for the above sequence.
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Write recursive and iterative methods to compute the summation of following series: ao aj az az an 5 20 80 320 4an-1 For example: a, = 5, n = 4 public static double m(.. , ..) public static double iterative_m( .. , ..) ao + az + a, +az = 425
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9. Ackermann's Function Ackermann's function is a recursive mathematical algorithm that can be used to test how well a computer performs recursion. Write a method ackermann (m, n), which solves Ackermann's function. Use the following logic in your method: If m = 0 then return n + 1 If n = 0 then return ackermann (m Otherwise, return ackermann(m 1, 1) 1, ackermann (m, n - 1))