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--------------------------------------------------------------------------------------------- In this DSA tutorial we will study and understand the working of Radix Sort sorting algorithm. Radix sort also known as bucket sort, is a non comparative sorting algorithm.
It avoids comparison by creating and distributing elements into buckets according to their radix.
For elements with more than one significant digit, this bucketing process is repeated for each digit, while preserving the ordering of the prior step, until all digits have been considered. For this reason, radix sort has also been called bucket sort and digital sort.
Typically Radix sort uses counting sort as a subroutine to sort.
Radix sort has linear time complexity which is better than O(nlog n) of comparative sorting algorithms.
Worst complexity: n*k/d
Average complexity: n*k/d
Space complexity: n+2^d
Working -
Step 1 - Take input array and find MAX number in the array
Step 2 - Define 10 queues each representing a bucket for each digit from 0 to 9.
Step 3 - Consider the least significant digit of each number in the list which is to be sorted.
Step 4 - Insert each number into their respective queue based on the least significant digit.
Step 5 - Group all the numbers from queue 0 to queue 9 in the order they have inserted into their respective queues.
Step 6 - Repeat from step 3 based on the next least significant digit.
Step 7 - Repeat from step 2 until all the numbers are grouped based on the most significant digit.
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