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.

 


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

Kids bring back some very vibrant childhood memories. The memories which are buried deep down, forgotten and almost lost. Until there is a kid (especially
One of the principles of politics and world power equations is that they are never static,  but dynamic and change at no stated interval. Thus we
Hola Mohalla is an annual Sikh festival which is celebrated on the day after Holi. It is an annual fair which is held for three days at Anandpur Sahib

Related Articles

One of the principles of politics and world power equations is that they are never static,  but dynamic and change at no stated interval. Thus we
 The US election build-up is in full swing. As is the practice, the battle is only between 2 mainstream parties namely the Republican party and the
Photo from https://pl.wikipedia.org/wiki/Boeing_P-8_Poseidon The Indian navy has a long and checkered history and was a creation of the English
Kashmir state was a part of the empire of Maharajah of Punjab, Ranjit Singh. Earlier it was a part of the Mughal empire and Jahangir the emperor loved
Background Pakistan never accepted the accession of Kashmir to India and insisted on a plebiscite in the valley to ascertain the wishes of the people