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quick sort has a best case time complexity of O(nlogn) and worst case time complexity of 0(n^2).

the best case occurs when the pivot element choosen as the center or close to the center element of the list.the time complexity can be derived for this case as:

t(n)=2*t(n/2)+n.

whereas the worst case time complexity for quick sort happens when the pivot element is towards the end of the list.the time complexity for this can be derived using the recurrence eqn:

t(n)=t(n-1)+n

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