Show How Radix Sort Sorts Array

Radix sort is a non-comparative integer sorting algorithm that sorts data with integer keys by grouping the keys by individual digits. It is based on the principle of sorting keys by digit position in a stable manner.

Understanding Radix Sort

Before we delve into how radix sort sorts the given array <275, 251, 430, 351, 812, 151>, let's first understand the basics of radix sort. Radix sort processes the digits of the numbers from the least significant digit (LSD) to the most significant digit (MSD). The key idea is to perform a stable sort for each digit, such that the final result is a fully sorted list of numbers.

Sorting the Array

Now, let's apply radix sort to the array <275, 251, 430, 351, 812, 151> step by step:

Step 1: Sort by Ones Digit

• 430
• 151
• 351
• 251
• 812
• 275

Step 2: Sort by Tens Digit

• 812
• 151, 251
• 351
• 430
• 275

Step 3: Sort by Hundreds Digit

• 151
• 251
• 275
• 351
• 430
• 812

By following the steps of radix sort, we have successfully sorted the array <275, 251, 430, 351, 812, 151> in ascending order. Radix sort is a powerful algorithm for sorting integers efficiently, especially when dealing with a large number of elements. It exploits the properties of integer keys to achieve linear time complexity, making it a popular choice for sorting applications.

Next time you encounter a need to sort a list of integers, consider using radix sort for a fast and efficient sorting solution.