Question: Consider an array A [ 1 . . n ] and an interger k . A has a property that A [ i ] A

Consider an array A[1..n] and an interger k. A has a property that A[i]A[i+k] for all
positive integers in-k. Given a search query x, we want to find i such that A[i]=x.
If x does not exist in the array, we simply return -1. How fast can we search in this array?
Derive in terms of big-O of a function in n and k.
Consider an array A [ 1 . . n ] and an interger k

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Programming Questions!

Q:

# 5: Fourier Interpolant and DFT 1 The Discrete Fourier Transform (DFT) of a periodic array fj , for j = 0, 1, . . . , N 1 (corresponding to data at equally spaced points, starting at the left end...

Q:

# 5: Fourier Interpolant and DFT 1 The Discrete Fourier Transform (DFT) of a periodic array fj , for j = 0, 1, . . . , N 1 (corresponding to data at equally spaced points, starting at the left end...

Q:

(5 points) Assume we consume a unit of memory to store a number. (2.5 points) Counting sort is not an in-place algorithm. What is the memory con- sumption of counting sort with n input numbers, and...

Q:

We saw an algorithm for making a heap (slow-make-heap) that we described as "rather inefficient". Analyse the worst case for this algorithm, and compare it to the linear-time algorithm make-heap. In...

Q:

****JAVA****FILL IN PROGRAM**** package sorting; import java.util.*; public class Sort { public static int[] insertion_sort (int[] array) { // } public static int[] merge_sort (int[] array, int p,...

Q:

Suppose that, instead of sorting an array, we just require that the elements increase on average. More precisely, we call an n-element array A k-sorted if, for all i = 1, 2, . . . ,n ? k, the...

Q:

ImplementapopmethodfortheDynamicArrayclass,giveninCodeFrag- ment 5.3, that removes the last element of the array, and that shrinks the capacity, N , of the array by half any time the number of...

Q:

Consider the following program which provides a software approach to mutual exclusion: Integer array control [1: N]; integer k Where 1 k N, and each element of control is either 0, 1, Or 2. All...

Q:

OurDynamicArrayclass,asgiveninCodeFragment5.3,doesnotsupport use of negative indices with getitem . Update that method to better match the semantics of a Python list. import ctypes # provides...

Q:

for the above input the output should be values: 12 5 4 7 6 2 13 1 18 15 54 17 38 85 92 37 29 20 rowPos: 0 2 3 5 8 9 -1 12 -1 15 colPos: 2 4 6 1 8 2 6 7 8 1 7 9 3 5 8 0 1 8 Most influential user: 8...

Q:

According to the African Development Bank (AfDB) president, Akinwumi Adesina, Africa is at the bottom of the global value chain with its share of global manufacturing at around only 1.9 percent....

Q:

Swift, LLC purchased equipment (7-year property) for use in its business on October 15, 2021. This was the only asset Swift, LLC acquired during 2021. The cost of the equipment was $2,000,000. In...

Q:

the lower risk nature of long - term debt in a firms capital structure is due to the fact that _ _ _ _ _ . Group of answers: the debt holders are the true owners of the firm, creditors have a higher...

Q:

ABC Company supplies ink cartridges for printers on the aftermarket (i.e. they sell replacement cartridges). The demand for the cartridge is 400 units per week, with a standard deviation of demand of