Multidimensional array in one dimensional array, Data Structure & Algorithms

Assignment Help:

Q. By giving an example show how multidimensional array can be represented in one the dimensional array.                                                                            

Ans:

Multidimensional array: Multidimensional arrays can be defined as "arrays of arrays". For example, a bidimensional array may be imagined as a bidimensional table made of the elements, all of them of the same uniform data type.

int arr[3][5]; represents a bidimensional array of 3 per 5 elements of the type int. Similarly a three dimensional array such as

int arr[3][4][2]; represent an outer array of the three elements , each of which is a two dimensional array of the four rows, each of which is a one dimensional array of the five elements.

Multidimensional arrays are not restricted to the two or three indices (which means two dimensional or three dimensional). They may contain as many indices as required. Moreover the amount of memory needed for an array quickly increases with the each dimension.
For example: char   arr   [100][365][24][60][60];declaration  would   consume   more   than the  3 gigabytes of the memory.

The memory does not have rows and columns, so whether it is a one dimensional array or two dimensional arrays it does not matter, the array elements are stored linearly in the one continuous chain. For example, the multidimensional array

int arr[3][4][2]= {

{ {1,2},{3,4},{5,6},{7,8} },

{ {9,1},{1,2},{3,7},{4,7} },

{ {6,1},{18,19},{20,21},{22,23} },

}; is stored in memory just like the one-dimensional array as follows:

67_Multidimensional array.png

Multidimensional arrays are just an abstraction for the programmers, since we can obtain the same results with an easy array just by placing a factor between its indices.


Related Discussions:- Multidimensional array in one dimensional array

Recursive function, The location of a node in a binary search tree is defin...

The location of a node in a binary search tree is defined as a string such as LLRRL, which represents the node that you find by starting at the root, and traversing Left, traverse

What is a data structure, Question 1 What is a data structure? Discuss bri...

Question 1 What is a data structure? Discuss briefly on types of data structures Question 2 Explain the insertion and deletion operation of linked list in detail Question

What is algorithms optimality, What is algorithm's Optimality? Optimali...

What is algorithm's Optimality? Optimality  is  about  the  complexity  of  the  problem  that  algorithm  solves.  What  is  the  minimum amount  of  effort  any  algorithm  w

Procedures, what is far and near procedures in system programming?

what is far and near procedures in system programming?

State warnock algorithm, Warnock's Algorithm An interesting approach to...

Warnock's Algorithm An interesting approach to the hidden-surface problem was presented by Warnock. His method does not try to decide exactly what is happening in the scene but

Booth algorithm, what is boot algorithm and some example

what is boot algorithm and some example

Implement a min-heap, Description A heap is an efficient tree-based data...

Description A heap is an efficient tree-based data structure that can be used as a priority queue. Recall that the abstract data type of a priority queue has the following opera

Explain the term - branching, Explain the term - Branching There are t...

Explain the term - Branching There are two common ways of branching: case of ..... otherwise ...... endcase  if ..... then ..... else ..... endif   case of

Methods of collision resolution, Methods of Collision Resolution 1)  Co...

Methods of Collision Resolution 1)  Collision Resolution by separate chaining  2)  Collision Resolution by open addressing

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