Answered: Give a recursive (decrease-by-one)…

Give a recursive (decrease-by-one) algorithm for finding the position of the smallest element in an array of n real numbers. and Determine the running time complexity of this algorithm.

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

See similar textbooks

Similar questions

Explain the halting condition for the recursive binary search and why all recursive algorithms need one.
A recursive algorithm has been developed as shown below: Input: List A = (a₁,..., an) such that N > 1 Output: value x foo(A) if length(A) == 1 return a₁ A' = (a₁,..., aN-1) q = foo(A') if (q> an) else return q return an State what problem this algorithm solves and write down the two recurrence equations that characterise this recursive algorithm.
Explain the halting condition for the recursive binary search and why all recursive algorithms need one.
Give an account of the stopping condition for the recursive binary search, and elaborate on why such a condition is required of all recursive algorithms.
Design and implement an algorithm using recursion and backtracking to sort an array of integers into ascending order. Consider the given array as input and produce a sorted array as output. Each time you take an integer from the input array, place it at the end of the output array. If the result is unsorted, backtrack.
Devise a recursive algorithm for finding n! mod m where n and m are positive integers.
Another recursive algorithm is applied to some data A = (a₁, ..., am) where m = 2* (i.e. 2, 4, 8,16 ...) where x is an integer ≥ 1. The running time T is characterised using the following recurrence equations: T(1) = c when the size of A is 1 T(m) = 2T (2) + c otherwise Determine the running time complexity of this algorithm.
The recursive algorithm below takes as input an array A of distinct integers, indexed between s andf, and an integer k. The algorithm returns the index of the integer k in the array A, or ?1 if the integerk is not contained within A. Complete the missing portion of the algorithm in such a way that you makethree recursive calls to subarrays of approximately one third the size of A.• Write and justify a recurrence for the runtime T(n) of the above algorithm.• Use the recursion tree to show that the algorithm runs in time O(n).FindK(A,s,f,k)if s < fif f = s + 1if k = A[s] return sif k = A[f] return felseq1 = b(2s + f)=3cq2 = b(q1 + 1 + f)=2c... to be continued.else... to be continued.
The n-th harmonic is the sum of the reciprocals of the first n natural numbers given by: 17 1.1 1 1 H₁ =Σ =1+=+=+ - 2 3 4 k=1 k +. + n (i) Write a recursive algorithm of this function returning, H, with nε N. (ii) Give a recurrence relation for the number of divisions the recursive algorithm calculates for an input n & N. iii) Solve the recurrence relation and give the O(n) of the algorithm.
Give the pseudocode and java code for a recursive algorithm that finds the maximum element in an array A of n elements.
Please show and explain so I can nderstand.
Give an account of the stopping condition for the recursive binary search, and elaborate on why such a condition is required of all recursive algorithms.