## What is the time complexity of quick select?

Time Complexity Analysis: The time complexity for the average case for quick select is O(n) (reduced from O(nlogn) — quick sort). The worst case time complexity is still O(n²) but by using a random pivot, the worst case can be avoided in most cases.

**What is the time complexity of a quicksort algorithm?**

Time Complexity The best-case time complexity of quicksort is O(n*logn). Average Case Complexity – It occurs when the array elements are in jumbled order that is not properly ascending and not properly descending. The average case time complexity of quicksort is O(n*logn).

**What is the best time complexity of randomized quick sort?**

O(n^2)

If the input contains elements that are all the same, the runtime of randomized quick-sort is O(n^2). That’s assuming you’re using the same PARTITION algorithm as in the deterministic version. The analysis is identical. Even if all elements are same the depth of randomized partition tree is still O(lg n) .

### Is Quick Select Stable?

QuickSort is an unstable algorithm because we do swapping of elements according to pivot’s position (without considering their original positions).

**What is the time complexity and space complexity of quick sort?**

What is the average case run time complexity of Quick Sort? The average case run time of quick sort is O(n logn) . This case happens when we dont exactly get evenly balanced partitions. We might get at worst a 3-to-1 split on either side of pivot element.

**What is the best time complexity of bubble sort?**

O(n)

The bubble sort is made up of only a few lines of code. With a best-case running time complexity of O(n), the bubble sort is helpful in determining whether or not a list is sorted. Other sorting methods frequently cycle through their entire sorting sequence, taking O(n2) or O(n log n) time to complete.

#### What is the complexity of computing the median?

Time Complexity to find median = O(n Log n) as we need to sort the array first. Note that we can find median in O(n) time using methods discussed here and here. Basic Program related to Median: Maximize the median of an array.