Conceptual Question: Can you explain the following Sorting Algorithms and provide an example of how they work and function? Radix Bucket Heap Merge What are their complexities and how fast are they?
Conceptual Question:
Can you explain the following Sorting
Radix
Bucket
Heap
Merge
What are their complexities and how fast are they?
- How it works:
Radix Sort is a non-comparative sorting algorithm that sorts numbers based on individual digits or characters from the least significant digit (LSD) to the most significant digit (MSD) or vice versa. It processes the data in passes, sorting by each digit position.
- Example:
Consider the list of integers: [170, 45, 75, 90, 802, 24, 2, 66]. Radix sort would start by sorting based on the ones digit, resulting in [170, 90, 802, 2, 24, 75, 45, 66]. It then sorts based on the tens digit, hundreds digit, and so on until the list is fully sorted.
- Complexity:
Radix Sort has a time complexity of O(n * k), where n is the number of elements and k is the number of digits or characters in the largest number or string. It's generally efficient for integer sorting, especially when k is small.
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