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

Implementation of stack using arrays, A Stack has an ordered list of elemen...

A Stack has an ordered list of elements & an array is also utilized to store ordered list of elements. Therefore, it would be very simple to manage a stack by using an array. Thoug

Algorithm, implement multiple stacks in a single dimensional array. write a...

implement multiple stacks in a single dimensional array. write algorithm for various stack operation for them

Small program on Algorithms , Objective The goal of this project is to ext...

Objective The goal of this project is to extend and implement an algorithm presented in the course and to apply notions introduced by the course to this program/algorithm. The ass

Merge sorting, ESO207: Programming Assignment 1 Due on 6 Sept, 2015. To be ...

ESO207: Programming Assignment 1 Due on 6 Sept, 2015. To be submitted online. Problem In this assignment you are required to implement k-way Merge Sort algorithm. In this version p

Computer arhitecture, The controversy of RISC versus CISC never ends. Suppo...

The controversy of RISC versus CISC never ends. Suppose that you represent an advocate for the RISC approach; write at least a one-page critic of the CISC approach showing its disa

Stack, implement multiple stacks ina single dimensional array. write algori...

implement multiple stacks ina single dimensional array. write algorithams for various stack operation for them.

Explain in detail about the ruby arrays, Explain in detail about the Ruby a...

Explain in detail about the Ruby arrays Ruby arrays have many interesting and powerful methods. Besides indexing operations which go well beyond those discussed above, arrays h

Files structures, The structures of files vary from operating system to ope...

The structures of files vary from operating system to operating system. In this unit, we will discuss the fundamentals of file structures with the generic file organisations. A

Limitation of binary search, Limitation of Binary Search: - (i)  The co...

Limitation of Binary Search: - (i)  The complexity of Binary search is O (log2 n). The complexity is similar irrespective of the position of the element, even if it is not pres

Determine the precondition of a binary search, Determine the precondition o...

Determine the precondition of a binary search For instance, precondition of a binary search is that array searched is sorted however checking this precondition is so expensive

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