An array -S- contain n distinct elements- Consider a functionfi which is defined as-fi-max a-b-c-a-b-c- S and a b cWhat is the worst case time complexity to find set of all possible elements which are returned by function fiwhen array -S- is passed as an argument-

(a) If we observe their are ^nC_3 sets of 3 element possible. Out of nbsp; n elements only 2 samellest element cannot be present in " max element set ". So we ...

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Standard XII

Mathematics

Number of Functions Possible from Set A to Set B

An array 'S' ...

Question

An array 'S' contain n distinct elements. Consider a function $f_{i}$ which is defined as:

$f_{i} = {max (a, b, c) | \forall_{a, b, c} \in S a n d a \neq b \neq c}$

What is the worst case time complexity to find set of all possible elements which are returned by function $f_{i}$
when array 'S' is passed as an argument?

$O (n^{2})$

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$O (n^{3})$

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O(n)

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O(n logn)

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Solution

The correct option is C O(n)
(a)
If we observe their are $^{n} C_{3}$ sets of 3-element possible. Out of n-elements only 2-samellest element cannot be present in " max-element set ". So we can use 2-pass of selection sort to find 2-smallest elements, other than these two elements all will be present in "max-element set". So it will take
O(n) time.

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An array 'S' contain n distinct elements. Consider a functionfi which is defined as: fi={max(a,b,c)|∀a,b,c∈Sanda≠b≠c} What is the worst case time complexity to find set of all possible elements which are returned by function fi when array 'S' is passed as an argument?