Radix Sort
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The document discusses Radix sort, an algorithm for sorting numbers. It begins with a numerical example of numbers to be sorted. It then explains the Radix sort algorithm in 6 steps - defining queues for each digit, inserting numbers into queues based on least significant digit, grouping numbers from queues in order, and repeating for each more significant digit. It analyzes the time complexity of Radix sort as O(n) in all cases. Code and output are listed but not shown. References for Radix sort are provided.
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Radix Sort
- 1. Data Structures and Algorithms DigitalAssignment – Submitted by -TirthVishalbhai Dave (20BCE1548)
- 2. RADIX SORT ▪ Numerical example ▪ Algorithm ▪ Complexity ▪ Code ▪ Output
- 3. Numerical Example Array to be sorted is : 954,009,354,411
- 4. Algorithm • Step 1 - Define 10 queues each representing a bucket for each digit from 0 to 9. • Step 2 - Consider the least significant digit of each number in the list which is to be sorted. • Step 3 - Insert each number into their respective queue based on the least significant digit.
- 5. • Step 4 - Group all the numbers from queue 0 to queue 9 in the order they have inserted into their respective queues. • Step 5 - Repeat from step 3 based on the next least significant digit. • Step 6 - Repeat from step 2 until all the numbers are grouped based on the most significant digit.
- 6. COMPLEXITY To sort an unsorted list with 'n' number of elements, Radix sort algorithm needs the following complexities... ▪ Worst Case : O(n) ▪ Best Case : O(n) ▪ Average Case : O(n)
- 7. CODE
- 8. CODE
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