Example of binary search, Data Structure & Algorithms

Assignment Help:

Let us assume a file of 5 records that means n = 5

And k is a sorted array of keys of those 5 records.

1185_Example.png

Let key = 55, low = 0, high = 4

Iteration 1: mid = (0+4)/2 = 2 k(mid) = k (2) = 33

Now key > k (mid)

Thus low = mid + 1 = 3

Iteration 2: low = 3, high = 4 (low <= high)

Mid = 3+4 / 2 = 3.5 ~ 3 (integer value)

 Here key > k (mid)

Thus low = 3+1 = 4

Iteration 3: low = 4, high = 4 (low<= high)

Mid = (4+4)/2 = 4

Here key = k(mid)

Thus, the record is at mid+1 position that means 5


Related Discussions:- Example of binary search

Complexity, Complexity : How do the resource needs of a program or algorith...

Complexity : How do the resource needs of a program or algorithm scale (the growth of resource requirements as a function of input). In other words, what happens with the performan

Illustrate the back face detection method, Illustrate the Back Face Detecti...

Illustrate the Back Face Detection Method A single polyhedron is a convex solid, which has no external angle between faces less  than 180° and there is a simple object space me

Example of single node with multiple elements, The class Element represents...

The class Element represents a single node that can be part of multiple elements on a hotplate and runs in its own thread. The constructor accepts the initial temperature and a hea

Graph, For the following graph find the adjacency matrix and adjacency list...

For the following graph find the adjacency matrix and adjacency list representation of the graph.

Aa-trees, Red-Black trees have introduced a new property in the binary sear...

Red-Black trees have introduced a new property in the binary search tree that means an extra property of color (red, black). However, as these trees grow, in their operations such

Order of the matrix, /* The program accepts matrix like input & prints the ...

/* The program accepts matrix like input & prints the 3-tuple representation of it*/ #include void main() { int a[5][5],rows,columns,i,j; printf("enter the order of

Applications of avl trees, AVL trees are applied into the given situations:...

AVL trees are applied into the given situations: There are few insertion & deletion operations Short search time is required Input data is sorted or nearly sorted

Linear node is given by means of pointer, A linear collection of data eleme...

A linear collection of data elements where the linear node is given by means of pointer is known as Linked list

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd