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

Illustrate the intervals in mathematics, Illustrate the intervals in mathem...

Illustrate the intervals in mathematics Carrier set of a Range of T is the set of all sets of values v ∈ T such that for some start value s ∈ T and end value e ∈ T, either s ≤

Maximum numbers of nodes a binary tree of depth d, Maximum numbers of nodes...

Maximum numbers of nodes a binary tree of depth d The maximum numbers of nodes a binary tree of depth d can have is 2 d+1 -1.

Total impedent of the circuit, an electrical student designed a circuit in...

an electrical student designed a circuit in which the impedence in one part of a series circuit is 2+j8 ohms and the impedent is another part of the circuit is 4-j60 ohm mm program

Sort list of distinct numbers in ascending order - quicksort, (1) Sort a li...

(1) Sort a list of distinct numbers in ascending order, using the following divide- and-conquer strategy (Quicksort): divide the list of numbers into two lists: one that contains a

Array implementation of lists, In the array implementation of the lists, we...

In the array implementation of the lists, we will use the array to hold the entries and a separate counter to keep track of the number of positions are occupied. A structure will b

Search engines - applications of linear and binary search, Search engines e...

Search engines employ software robots to survey the Web & build their databases. Web documents retrieved & indexed through keywords. While you enter a query at search engine websit

Explain the method of overlapping and intersecting, Overlapping or Interse...

Overlapping or Intersecting A polygon overlaps or intersects the current background if any of its sides cuts the edges of the viewport as depicted at the top right corner of th

Explain first - fit method, First - Fit Method: -    The free list is trave...

First - Fit Method: -    The free list is traversed sequentially to search the 1st free block whose size is larger than or equal to the amount requested. Once the block is found it

Algorithm for a function that takes in integer as argument, Write a detaile...

Write a detailed description of a function that takes in an integer as an argument, then prints out the squares of all positive integers whose squares are less than the input. (The

Design a binary search tree, Binary Search Tree usage: Write a progra...

Binary Search Tree usage: Write a program to compare the time taken for a search in a skewed tree, a balanced tree, and a random tree. Speci cally, your program should do the

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