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in Class 12 by kratos

Define Big 'O' notation. State the two factors which determine the complexity of an algorithm.

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+4 votes
by kratos
 
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Big 'O' Notation : Big O notation is used to describe the performance or complexity of an algorithm. For a given function g(n), it is denoted by O(g(n)) the set of functions

O(g(n)) = {f(n) : there exist positive constants c and n0 such that

0 < f(n) < cg(n) for all n > n0}.

Two factors which determine the complexity of an algorithm :

(1) Time Complexity :

The amount of computer time, algorithm needs to run to completion.

(2) Space Complexity :

The amount of memory, algorithm needs to run to completion.

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