a linear search searching the sock drawer for matching socks takes at most 5 comparisons, and if each comparison takes 1 second, how long will it take for all of the comparisons.

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19-12-2022
Mathematics

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a linear search searching the sock drawer for matching socks takes at most 5 comparisons, and if each comparison takes 1 second, how long will it take for all of the comparisons.

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debjitbhowal4568 debjitbhowal4568 · Answer 1 · 2022-12-25T16:48:41-05:00

It will take 10 seconds for all of the comparisons.

A sequential search algorithm that starts at one end and goes through each element of a list until the desired element is found, otherwise the search continues till the end of the data set is called Linear Search.

Worst-case time complexity of linear search algorithm is O(N).

Since it takes at most 5 comparisons, there are 5 pairs (or 10 socks) in the drawer.

Time taken for each comparison is 1 second.

Therefore, time taken for all of the comparisons = 10 x 1 = 10 seconds.

Hence, time taken for all of the comaprisons is 10 seconds.

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