The C++ Quickselect() function's best case runtime is _____.

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BlackTom AI · Accepted Answer

The question asks about the best-case time complexity of the Quickselect() function in C++.
A few common theoretical options to compare against are: O(N), O(N log N), and O(N^2).
In the best case for Quickselect, the pivot chosen partitions the array into one highly imbalanced side and a nearly empty other side in each step, effectively reducing the problem size by a constant factor at each recursive call.
When Quickselect behaves ideally, the work done at each level is proportional to the number of elements being partitioned, and since we repeatedly shrink the problem by a constant fraction, the total cost sums to a linear function of N.
By contrast, O(N log N) would describe an average-case cost for some algorithms, while O(N^2) would correspond to a highly unlucky series of pivots or a poor partitioning strategy.
Therefore, considering the typical best-case pivot behavior and the linear-time accumulation across the recursion, the best-case growth aligns with linear time in N.
Note that missing option choices in the provided set prevent a side-by-side comparison, but the standard best-case analysis for Quickselect centers on achieving a single-pass-like reduction with limited additional work, yielding linear time overall.

CIS-279-OLH-CRN47413 Quiz: Chapter 3

The C++ Quickselect() function's best case runtime is _____.

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