linear-expected-time algorithm, Data Structure & Algorithms

Assignment Help:

Implement a linear-expected-time algorithm for selecting the kth smallest element

Algorithm description

1. If |S| = 1, then k = 1 and return the element in S as the answer.

2. Pick a pivot element, v[S]. Partition S-{v} into S1 and S2, as done with quicksort

3. If k<=|S1|, then the kth smallest element must be in S1. In this case, return quickselect(S1,k).

4. If k=1+|S1|, the pivot is the kth smallest element and return it.

5. Otherwise, the kth smallest element lies in S2, and it is the (k-|

S1|-1)st smallest element in S2, and return quickselect(S2,k-| S1|-1).

Deliverables

1. Source code, i.e. *.java file

2. Time complexity analysis

Related Discussions:- linear-expected-time algorithm

Splaying procedure, For splaying, three trees are maintained, the central, ...

For splaying, three trees are maintained, the central, left & right sub trees. At first, the central subtree is the complete tree and left and right subtrees are empty. The target

The various ways in which lc code can be accessed, Problem Your LC code...

Problem Your LC code is stored in a memory location as shown and the variable name is LC LC Memory address Content(LC code)

What is quick sort, What is quick sort? Answer Quick sort is on...

What is quick sort? Answer Quick sort is one of the fastest sorting algorithm used for sorting a list. A pivot point is chosen. Remaining elements are divided or portio

Sorting algorithm is best if the list is already sorted, Which sorting algo...

Which sorting algorithm is best if the list is already sorted? Why? Insertion sort as there is no movement of data if the list is already sorted and complexity is of the order

Which are the two standard ways of traversing a graph, Which are the two st...

Which are the two standard ways of traversing a graph? i. The depth-first traversal ii. The breadth-first traversal

Pseudo code, since the gregorian calendar was introduced in 1752,a leap yea...

since the gregorian calendar was introduced in 1752,a leap year occurs every 4 years.you are to write a pseudo code to find out whether a year is a leap year.your progrm should dis

Algorithm to add element in the end of circular linked list, Q. Write down ...

Q. Write down an algorithm to add an element in the end of the circular linked list. A n s . Algo rithm to Add the Element at the End of Circular Linked Lists

Array, how to define the size of array

how to define the size of array

Python programming, how to write a function of area of a circle using pytho...

how to write a function of area of a circle using python

For loop, for (i = 0; i sequence of statements } Here, the loop e...

for (i = 0; i sequence of statements } Here, the loop executes n times. Thus, the sequence of statements also executes n times. Since we suppose the time complexity of th

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages