BASIC DIFFERENCES BETWEEN SPACE COMPLEXITY AND TIME COMPLEXITY

 

SPACE COMPLEXITY:

The space complexity of an algorithm is the amount of memory it requires to run to completion.

the space needed by a program contains the following components:

1)  Instruction space:

-stores the executable version of programs and is generally fixed.

2) Data space:

It contains:

a)  Space required by constants and simple variables.Its space is fixed.

b)  Space needed by fixed size stucture variables such as array and structures.

c)  dynamically allocated space.This space is usually variable.

3) enviorntal stack:

-Needed to stores information required to reinvoke suspended processes or functions.

the following data is saved on the stack

- return address.

-value of all local variables

-value of all formal parameters in the function..

TIME COMPLEXITY:

The time complexity of an algorithm is the amount of time it needs to run to completion. namely space

To measure the time complexity we can count all operations performed in an algorithm and if we know the time taken for each operation then we can easily compute the total time taken by the algorithm.This time varies from system to system.

Our intention is to estimate execution time of an algorithm irrespective of the computer on which it will be used. Hence identify the key operation and count such operation performed till the program completes its execution.

The time complexity can be expressd as a function of a key operation performed.

The space and time complexity is usually expressed in the form of function f(n),where n is the input size for a given instance of a problem being solved.

f(n) helps us to predict the rate of growthof complexity that will increase as size of input to the problem increases.

f(1) also helps us to predict complexity of two or more algorithms in order ro find which is more efficient.

 

Like it on Facebook, +1 on Google, Tweet it or share this article on other bookmarking websites.


Written by
deven rana
\"Live as if you were to die tomorrow. Learn as if you were to live forever.”
  • No comments found

Latest Articles

Well I don't think there's a better way to express your love for someone, than through songs. Cards, or the well planned 'unexpected gift at an unexpected
BUZZ SONGS (170 Hits)
If you're a Rock fan, you'll be aware that Rock music helps to raise your energy levels quickly. It creates a buzz, that re-energizes you. In this post
It all started off in Manchester, a band was formed by the Gallagher brothers. Liam & Noel Gallagher, started writing, & composing music, hoping

Related Articles

MECHANICAL ENGINEERING which is also known commonly as mother of all engineering because mostly all other Branches ,Topics, Syllabus and Concepts fall
1.Introduction to highways: The highways are one of the four major modes of the transportation i.e Airways, Waterways, Railways and the Highways.
Tacheometry In Plane Surveying the various methods employed to do the surveying are Chain Surveying, Compass Surveying, Theodolite Surveying, Plane
Introduction If you have heard about or if you have worked with a construction project or if you have ever planned a travelling trip using the google
Engineering is one of the most famous and rewarding courses all over the world. It is one of the most sought after professional courses in India and abroad.