Recent questions tagged quick-sort

During sorting, one complete processing of all elements whose final positions have not yet been determined is called a pass.Which of the following sequences cannot be the...

While sorting the numbers $\text{(70, 48, 76, 58, 43, 47, 78, 53)}$ using quicksort, the last number is chosen as pivot, what will be the permutation of the numbers after...

Consider the Quick sort algorithm which sorts elements in ascending order using the first element as pivot. Then which of the following input sequence will require a maxi...

The best case behaviour occurs for quick sort is, if partition splits the array of size $n$ into$n/2:(n/2)-1$ $n/2:n/3$ $n/4:3n/2$ $n/4:3n/4$

Randomized quicksort is applied to $n$ distinct keys, where $n$ is divisible by $16$.A pivot is chosen uniformly at random.What is the probability that both recursive sub...

Consider an array of $2n$ elements of the form:$1,2n-1,2,2n-2,3,2n-3,4,2n-4,\ldots,n,n$For example, when $n=8$:$1,15,2,14,3,13,4,12,5,11,6,10,7,9,8,8$What is the number o...

Consider the problem of sorting an array of $n$ comparable elements in which there are only four distinct keys.It is possible to design an algorithm that makes at most $4...

Why do $2$-pivot and $3$-pivot quicksort generally perform better than $1$-pivot quicksort?They always perform fewer comparisons. They always perform fewer exchanges. The...

In the worst case, approximately how many key comparisons and exchanges does the standard $\texttt{partition()}$ procedure perform on a subarray of length $n$?$\frac{n}{2...

The standard $2$-way quicksort partition procedure uses the first element as the pivot and stops both scans when they encounter an element equal to the pivot.It is applie...

An array contains $n\geq 8$ distinct elements:$a_1<a_2<\cdots<a_n$The array is sorted using randomized quicksort.What is the probability that $a_7$ and $a_8$ are compared...

1. what is the space Complexity of efficient Quick sort algorithem for best case ? in a lecture Reddy Sir Said that it is O(1) is this correct  2.if in the gate exam if t...

Consider that the quick sort algorithm is used to sort an array of $n$ distinct randomly ordered elements. In every call, the pivot is chosen as the first element of the ...

In quick sorting algorithm 2 elements i and j are compared if and only if among all the elements, the element to be picked as pivot is either i or j. Is this statement tr...

Consider the QuickSort algorithm with the last element chosen as the pivot. If the goal is to sort the given array \(a = [30, 40, 50, 60, 70, 80]\) in ascending order, ho...

13, 60,19,52,45,27,41,30,34,32.. Is this sequence in an array a worst case for Quicksort if first element is choosen as pivot always?I have tried to run algorithm of Quic...

Which of the following statement(s) is/are true?(a) Quicksort and merge sort are both examples of divide and conquer algorithms.(b) If we randomly choose a pivot element ...

In QuickSort algorithm, which of the following statements is NOT true regarding the partition process?a) Partition always divides the array into two non-empty subsets.b) ...