So far, we have discussed the following:<\/p>\n
- \n
- Sorting algorithms<\/a>: Introduction to data sorting<\/li>\n
- Bubble sort<\/a><\/li>\n
- Comb sort<\/a><\/li>\n
- Big O notation<\/a><\/li>\n
- Selection sort<\/a><\/li>\n
- Insertion sort<\/a><\/li>\n
- Counting sort<\/a><\/li>\n
- Heap sort<\/a><\/li>\n
- Merge sort<\/a><\/li>\n
- Quick sort<\/a><\/li>\n<\/ul>\n
Bucket sort definition<\/h2>\n
Bucket (Bin) sort is a special sorting technique that consists in dividing the elements of the input vector into different groups (buckets or bins). These groups are formed on the basis of a uniform distribution<\/a>. The groups are then individually sorted by an arbitrary sorting algorithm and the output sorted output is the union of the results of the individual buckets. The computational complexity of the algorithm then depends on the algorithm used to sort individual buckets, the number of buckets created and on how uniformly the values are distributed in the input.<\/p>\n
Bucket sort explained<\/h2>\n
If we need to sort a large amount of data that has the property that it is evenly distributed (e.g. order numbers), by dividing it into subgroups we can reduce the amount of comparisons between elements, which will help us to reduce the sorting time. Once the data is sorted, we can keep it in buckets, and when we add new elements to the buckets, we can sort only the buckets to which the new element has been added. Sorted data is also easier and faster to sort if we use a suitable algorithm, such as insertion sort<\/a>. Partitioning into multiple buckets also allows us to use parallel sorting and data processing techniques.<\/p>\n
The basic principle of the bucket sort algorithm is as follows:<\/p>\n
- \n
- Determine bucket count<\/strong> – By analyzing data range once, we can determine the maximum value<\/li>\n
- Create empty buckets (typically using an array of lists)<\/strong><\/li>\n
- Distribute elements into buckets<\/strong>
\nThe most appropriate way is to scatter<\/em><\/strong> them using a simple hash function.<\/li>\n- Sort each bucket individually<\/strong><\/li>\n
- Gather<\/em> the results from each bucket in the correct order<\/strong><\/li>\n<\/ol>\n
Bucket sort animation, visualization, gif<\/h2>\n
![\"Visual](\"https:\/\/msgprogramator.sk\/wp-content\/uploads\/2024\/08\/bucket-sort-ilustracia-890-740.webp\")
Visual representation of the Bucket-Sort algorithm.<\/figcaption><\/figure>\n Bucket sort advantages<\/h2>\n
- \n
- Relatively efficient for data with a uniform distribution: decimal numbers with a range of 0.0 to 1.0, or integers in a narrow range<\/li>\n
- Stable if a stable sorting algorithm is used to sort the data for groups<\/li>\n
- It can be parallelized to spread the computational load across multiple processors.<\/li>\n<\/ul>\n
Bucket sort disadvantages<\/h2>\n
- \n
- Requires additional memory space to create buckets<\/li>\n
- An inappropriately chosen variance function can significantly increase the time complexity.<\/li>\n<\/ul>\n
Bucket sort time complexity<\/h2>\n
- Create empty buckets (typically using an array of lists)<\/strong><\/li>\n
- Bubble sort<\/a><\/li>\n
![\"Bucket](\"https:\/\/msgprogramator.sk\/wp-content\/uploads\/2024\/08\/vystup-z-prikladu-bucket-sort-670-820.webp\")
<\/p>\n