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

Calculation of storage complexity, Since memory is becoming more & cheaper,...

Since memory is becoming more & cheaper, the prominence of runtime complexity is enhancing. However, it is very much significant to analyses the amount of memory utilized by a prog

Curve, write a c++ program to find out the area of a curve y=f(x) between x...

write a c++ program to find out the area of a curve y=f(x) between x=a and x=b

Full binary trees, Full Binary Trees: A binary tree of height h that had 2...

Full Binary Trees: A binary tree of height h that had 2h -1 elements is called a Full Binary Tree. Complete Binary Trees: A binary tree whereby if the height is d, and all of

Multiple stacks, how multiple stacks can be implemented using one dimension...

how multiple stacks can be implemented using one dimensional array

Algorithm, implement multiple stack in one dimensional array

implement multiple stack in one dimensional array

Best case, Best Case: If the list is sorted already then A[i] T (n) = ...

Best Case: If the list is sorted already then A[i] T (n) = c1n + c2 (n -1) + c3(n -1) + c4 (n -1)  = O (n), which indicates that the time complexity is linear. Worst Case:

Write an algorithm outputs number of books using psuedocode, A shop sells b...

A shop sells books, maps and magazines. Every item is identified by a unique 4 - digit code. All books have a code starting with a 1, all maps have a code which starts with a 2 and

Explain th term input and output- pseudocode, Explain th term input and ou...

Explain th term input and output-  Pseudocode Input and output indicated by the use of terms input number, print total, output total, print "result is" x and so on.

What is a range - a structured type in ruby, Range: A Structured Type in Ru...

Range: A Structured Type in Ruby Ruby has a numerous structured types, comprising arrays, hashes, sets, classes, streams, and ranges. In this section we would only discuss rang

Algorithm for inorder traversals, Step-1: For the current node, verify whet...

Step-1: For the current node, verify whether it contain a left child. If it has, then go to step-2 or else go to step-3 Step-2: Repeat step-1 for left child Step-3: Visit (th

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