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## Bucket Sort

Bucket Sort also called as bin sort, is a simple sorting algorithm that works by partitioning an array into several buckets. Each bucket is then sorted separately, possibly utilizing a various sorting algorithm, or by recursively applying the bucket sorting algorithm. It is a distribution sort, and is a cousin of radix sort in the most to minimum substantial number flavor. Bucket sort is really a generalization associated with pigeonhole sort, Because bucket sort isn’t an evaluation sort, the actual O(n log n) lower bound is actually inapplicable. The actual computational complexity estimations include the number of buckets.

Bucket sort is actually probably the easiest distribution sorting algorithm. The essential requirement is that the size of the universe from which the elements to be sorted are drawn is really a little, set constant, say m.

For instance, guess that we're sorting elements drawn from {0, 1, . . ., m-1}, i.e., the set of integers in the interval [0, m-1]. Bucket sort uses m counters. The ith counter keeps track of the number of incidences from the ith element of the actual world. The figure below demonstrates exactly how this is done.  In this figure, the universal set is assumed to be {0, 1, . . ., 9}. Consequently, ten counter are required-one to keep track of the number of zeroes, one to keep track of the number of ones, and so on. A single pass through the data suffices to count all of the elements. Once the counts have been determined, the sorted sequence is easily obtained. E.g., the sorted sequence contains no zeroes, two ones, one two, and so on.

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