# What is the best and worst complexity of radix sort?

## What is the best and worst complexity of radix sort?

On the other hand, space complexity of the radix sort is better than the counting sort. Bucket sort requires dynamic memory. Bucket sort worst case time complexity is O(n^2), whereas radix sort is O(d(n+b)). Radix sort is stable but bucket sort is stable if its sub-routine sort is stable.

## What is the complexity of radix sort?

The time complexity of radix sort is given by the formula,T(n) = O(d*(n+b)), where d is the number of digits in the given list, n is the number of elements in the list, and b is the base or bucket size used, which is normally base 10 for decimal representation.

What is radix sort explain with an example?

Radix sort is one of the sorting algorithms used to sort a list of integer numbers in order. In radix sort algorithm, a list of integer numbers will be sorted based on the digits of individual numbers. For example, if the largest number is a 3 digit number then that list is sorted with 3 passes.

### Which sorting Has Highest worst case complexity?

Time and Space Complexity Comparison Table :

Sorting Algorithm Time Complexity Space Complexity
Best Case Worst Case
Insertion Sort Ω(N) O(1)
Merge Sort Ω(N log N) O(N)
Heap Sort Ω(N log N) O(1)

### Is radix sort faster than merge sort?

Generally speaking, the Big O complexity for Radix sort should be better than Merge and Quick sort. The biggest factors are n which is the total size of the initial array and k which is how many iterations need to be made which is based of how many digits the biggest number contains.

Is radix sort faster than Quicksort?

The benchmark will be somewhat unscientific, only using random data, but should hopefully be sufficient to answer the question: Is radix sort faster than quicksort for integer arrays? The benchmark shows the MSB in-place radix sort to be consistently over 3 times faster than quicksort for large arrays.

## What is the principle of radix sort?

Radix sort is an integer sorting algorithm that sorts data with integer keys by grouping the keys by individual digits that share the same significant position and value (place value). Radix sort uses counting sort as a subroutine to sort an array of numbers.

## Which sort has lowest worst case?

This discussion on Which of the following sorting algorithms has the lowest worst-case complexity?…

• Bubble sort it’s O(n^2).
• Quick sort it’s O(n^2).
• Selection sort O(n^2).
• Merge Sort everything is O(nlogn) as divide and conquer in all cases.

Is Big O average or worst case?

Worst case — represented as Big O Notation or O(n) Big-O, commonly written as O, is an Asymptotic Notation for the worst case, or ceiling of growth for a given function. It provides us with an asymptotic upper bound for the growth rate of the runtime of an algorithm.

### Why is radix sort not used?

Since radix sort isn’t universally applicable, typically has to be tailored to the actual use, and uses lots of extra memory, it’s hard to put it into a library function or template. You need only S(n) \in O(n) space for sorting with radix, i.e. same as for heap or quick sort.

Radix sort is harder to generalize than most other sorting algorithms. It requires fixed size keys, and some standard way of breaking the keys into pieces. Thus it never finds its way into libraries. The other answers here fail to give examples of when radix sort is actually used.