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

Insert function, INSERT FUNCTION /*prototypes of insert & find function...

INSERT FUNCTION /*prototypes of insert & find functions */ list * insert_list(list *); list * find(list *, int); /*definition of  anyinsert function */ list * inser

Stack and array, how to implement multiple stack using single dimension arr...

how to implement multiple stack using single dimension array in c

Sorting on several keys, Thus far, we have been considering sorting depend ...

Thus far, we have been considering sorting depend on single keys. However, in real life applications, we may desire to sort the data on several keys. The simplest instance is that

Elaborate the symbols of abstract data type, Elaborate the symbols of abstr...

Elaborate the symbols of abstract data type length(a)-returns the number of characters in symbol a. capitalize(a)-returns the symbol generated from a by making its first cha

Example of pre order traversal, Example of pre order traversal: Reading of...

Example of pre order traversal: Reading of a book, since we do not read next chapter unless we complete all sections of previous chapter & all its sections. Figure  : Rea

Difference in grounded header and circular header Link List, Q. State the d...

Q. State the difference between a grounded header link list and a circular header link list?     Ans: A header linked list is a linked list which all the time c

Algorithm to sort a given list by quick sort method, Q. Write down an algor...

Q. Write down an algorithm to sort a given list by making use of Quick sort method. Describe the behaviour of Quick sort when input given to us is already sorted.

Circularly linked lists implementation, CIRCULARLY LINKED LISTS IMPLEMENTAT...

CIRCULARLY LINKED LISTS IMPLEMENTATION A linked list wherein the last element points to the first element is called as CIRCULAR linked list. The chains do not specified first o

Fifo, give any example of page replacement using fifo and use your own refe...

give any example of page replacement using fifo and use your own reference string

Graphs, In this unit, we will describe a data structure called Graph. Actua...

In this unit, we will describe a data structure called Graph. Actually, graph is a general tree along no parent-child relationship. In computer science, Graphs have several applica

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