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Bucket Sort
Post author: Dhruv Punetha
Post published: May 10, 2021
Post category: Algorithms
Post comments: 0 Comments
Bucket Sort is a sorting algorithm that works by distributing the elements of an array Into a number of buckets. Now each of those buckets are sorted individually. Utilizing some other sorting algorithm or recursively applying Bucket sort to it. It is a distribution sort, a generalization of pigeonhole sort. The computational complexity depends on the algorithm used to sort each bucket, the number of buckets to use, and whether the input is uniformly distributed. When the input contains several keys that are close to each other (clustering), those elements are likely to be placed in the same bucket, which results in some buckets containing more elements than average.
Enter an array from the user.
Find the max and the min element from the array.
Now calculate the range of each bucket using ((max-min)/numbuk) (numbuk=number of buckets)
Create numbuk buckets for storing elements.
Store elements in their respective buckets by first calculating its index with respect to bucket bukindex= (array element -min) / range.
And then storing it in its respective bucket.
After that, we sort each bucket.
Gather the sorted elements and print them.
The average time complexity for Bucket Sort is O(n + k) and The worst time complexity is O(n²) . While The space complexity for Bucket Sort is O(n+k). If the insertion time in the bucket can be brought to O(1) then the algorithm will take O(n) time. The O(1) can be achieved by using a linked list to represent a bucket.
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