1. (16 pts.) Sorted Array Given a sorted array A of n (possibly negative) distinct integers,...

Question

Question

Answer 1

Answer #1

Please find the solutions below.!!!

Given that tue avay sORTED. ue can this Popely to imprae the mate use .Complesthy to ol. 0log ) -1 a S7100130 ex 1-A ao in

Below is the BinarySearch Algorithm..!!!!!

Algoitm BinaySeasch Carsc1,min,maa,y if (mancmin) then neturn false mid- (mantmin) la f arrCmidj> koy then heturn Binaty fear

If there are any doubts, comment down here. Нарру Lear ning..!! We are right here to help you. PLEASE give PLEASE give an UPV

Answer 2

Similar Homework Help Questions

Design and analysis of algorithms Type in answer Problem 5. Given a sorted array of distinct...

Design and analysis of algorithms Type in answer Problem 5. Given a sorted array of distinct integers A[1- -n], you want to find out whether there is an index I for which Ai-i. Give a divide-and-conquer algorithm that runs in time O(log n)
6. Let T(1..n] be a sorted array of distinct integers, some of which may be negative....

6. Let T(1..n] be a sorted array of distinct integers, some of which may be negative. Give an algorithm that can find an index i such that 1 <i<n and T[i] = i, provided such an index exists. Your algorithm should take a time in O(lg n) in the worst case. Answers must be proven (or at least well justified)
1. Design and write a Divide& Conquer algorithm that, given an array A of n distinct...

1. Design and write a Divide& Conquer algorithm that, given an array A of n distinct integers which is already sorted into ascending order, will find if there is some i such that Ali] in worst-case 0(log n) time.

We know that binary search on a sorted array of size n takes O(log n) time....

We know that binary search on a sorted array of size n takes O(log n) time. Design a similar divide-and-conquer algorithm for searching in a sorted singly linked list of size n. Describe the steps of your algorithm in plain English. Write a recurrence equation for the runtime complexity. Solve the equation by the master theorem.
(13 pts) Given an array AlI,2,. .. ,n] integers, design and analyze an efficient Divide-and-Conqu...

(13 pts) Given an array AlI,2,. .. ,n] integers, design and analyze an efficient Divide-and-Conquer algorithm to find some i and j, where j > 1, such that A[j]-Ali] is maximized. For example, given A 6, 1,3,8,4,5, 12,6], the maximum value of AL] - Ali] for j > i is 12-1 11 where j -7 and i 2. Give the underlying recurrence relation for your algorithm and analyze its running time. You should carefully state all details of your algorithm:...
Let A = [A[1], A[2],…..,A[n]] be an array of n distinct integers. For 1 <= j...

Let A = [A[1], A[2],…..,A[n]] be an array of n distinct integers. For 1 <= j <= n, the index j is a happy index if A[i] < A[j] for all 1 <= i < j. Describe an O(n)- time algorithm that finds all the happy indices in the array A. Partial credit will be given for an O(n log(n))-time algorithm and a minimal credit will be given for an O(n^2) –time algorithm. What is the running time of your...

1. Please write a Divide-and-Conquer Java algorithm solving the following problem: Given an "almost sorted" array...

1. Please write a Divide-and-Conquer Java algorithm solving the following problem: Given an "almost sorted" array of distinct integers, and an integer x, return the index of x in the array. If the element x is not present in the array, return -1. "Almost sorted" means the following. Assume you had a sorted array A[0…N], and then split it into two pieces A[0…M] and A[M+1…N], and move the second piece upfront to get the following: A[M+1]…A[N]A[0]…A[M]. Thus, the "almost sorted"...
The input is an array of N integers ( sorted ) and an integer X. The...

The input is an array of N integers ( sorted ) and an integer X. The algorithm returns true if X is in the array and false if X is not in the array. Describe an algorithm that solves the problem with a worst case of O(log N) time.
ALGORITHM PROBLEM: A) Significant Inversions: We are given a sequence of n arbitrary but distinct real...

ALGORITHM PROBLEM: A) Significant Inversions: We are given a sequence of n arbitrary but distinct real numbers <a1 , a2 ,..., an>. We define a significant inversion to be a pair i < j such that ai > 2 aj . Design and analyze an O(n log n) time algorithm to count the number of significant inversions in the given sequence. [Hint: Use divide-&-conquer. Do the “combine” step carefully] B) The Maximum-Sum Monotone Sub-Array Problem: Input: An array A[1..n] of...

Suppose you have a sorted array of positive and negative integers and would like to determine...

Suppose you have a sorted array of positive and negative integers and would like to determine if there exist some value of x such that both x and -x are in the array. Consider the following three algorithms: Algorithm #1: For each element in the array, do a sequential search to see if its negative is also in the array. Algorithm #2:For each element in the array, do a binary search to see if its negative is also in the...