What is Dutch national flag algorithm?

One algorithm is to have the top group grow down from the top of the array, the bottom group grow up from the bottom, and keep the middle group just above the bottom. The algorithm indexes three locations, the bottom of the top group, the top of the bottom group, and the top of the middle group.

What is the time complexity of Dutch national flag problem?

Since the array is only traversed once, the time complexity of the algorithm given below is O(n).

Is Dutch national flag stable?

1 Answer. It is definitely O(n) : trivially doable in O(nk) as long as the number of colors k is constant.

How to implement 3 Way QuickSort?

The basic quicksort technique is just finding an element as pivot then partition the array around pivot, after that, recur for sub arrays on left and right of the pivot. The three-way quicksort is similar, but there are three sections. array arr[1 to n] is divided into three parts.

How does count sort work?

Counting sort is a sorting technique based on keys between a specific range. It works by counting the number of objects having distinct key values (kind of hashing). Then doing some arithmetic to calculate the position of each object in the output sequence.

How do I partition an array?

Partition An Array

You are given an array(arr) of integers and a pivot.
You have to re-arrange the given array in such a way that all elements smaller or equal to pivot lie on the left side of pivot and all elements greater than pivot lie on its right side.
You have to achieve this in linear time.

What is 3 way partition?

3 way quick sort basically partitions the array in 3 parts. First part is lesser than the pivot , Second part is equal to pivot and third part is greater than pivot.It is linear-time partition algorithm. This partition is similar to Dutch National Flag problem.

Is counting sort fastest?

Counting sort runs in O ( n ) O(n) O(n) time, making it asymptotically faster than comparison-based sorting algorithms like quicksort or merge sort.