Radix Sort Presentation DSAvs 2025 (1).pptx

radix sort

1. Advance Sorting Radix Sort THE THIRD 202 5

2. What is Radix Sort? Definition: Radix Sort is a non-comparative sorting algorithm that sorts data by processing individual digits. Key Idea: Elements are sorted digit by digit, from least significant digit (LSD) to most significant digit (MSD). Stability: Maintains the relative order of elements with equal keys. Illustration: Example of sorting [79,85,73,43,84,96,14,33,11,48] using LSD.

3. Radix Sort: A Non-Comparative Sorting Algorithm Find the maximum number to determine the number of digits. Sort the array based on each digit, starting with the least significant digit (LSD). Use a stable subroutine (e.g., Counting Sort) to sort elements by each digit. Repeat until all digits are processed.

4. Radix Sort: Characteristics • Time Complexity: • O(d \times (n + b)) , where: • d = number of digits • n = number of elements • b = base (typically 10 for decimal numbers). • Space Complexity: O(n + b) . • Stable: Preserves order of equal keys. • Efficient for: Numbers with a fixed number of digits or when b is small.

5. Radix Sort: Implementation Input Array: [170, 45, 75, 90, 802, 24, 2, 66]. Step 1 (LSD - Units Place): [802, 2, 24, 45, 75, 66, 170, 90]. Step 2 (Tens Place): [802, 2, 24, 45, 66, 170, 75, 90]. Step 3 (Hundreds Place): [2, 24, 45, 66, 75, 90, 170, 802]. Output: [2, 24, 45, 66, 75, 90, 170, 802].

6. Radix Sort: Implementation using rust DEMO

7. Radix Sort: Comparison with Other Algorithms

8. Radix Sort: Advantages and Disadvantages Advantages: Linear time complexity for small ranges. Stable sorting algorithm. Great for sorting large datasets with numeric keys. Disadvantages: Requires additional space for buckets. Limited to data types where digits can be extracted. Slower for datasets with a large number of digits or strings.

9. Why Use Radix Sort? • Efficient for sorting numbers and fixed-length strings. • Simpler than other algorithms for certain datasets. • Practical and widely used in scenarios requiring stability and efficiency. Takeaway: Radix Sort is a powerful tool for specific types of sorting problems.