Radix SortRadix sort processes the elements the same way in which the names of the students are sorted according to their alphabetical order. There are 26 radix in that case due to the fact that, there are 26 alphabets in English. In the first pass, the names are grouped according to the ascending order of the first letter of names. In the second pass, the names are grouped according to the ascending order of the second letter. The same process continues until we find the sorted list of names. The bucket are used to store the names produced in each pass. The number of passes depends upon the length of the name with the maximum letter. In the case of integers, radix sort sorts the numbers according to their digits. The comparisons are made among the digits of the number from LSB to MSB. The number of passes depend upon the length of the number with the most number of digits. Complexity
ExampleConsider the array of length 6 given below. Sort the array by using Radix sort. A = {10, 2, 901, 803, 1024} Pass 1: (Sort the list according to the digits at 0's place) 10, 901, 2, 803, 1024. Pass 2: (Sort the list according to the digits at 10's place) 02, 10, 901, 803, 1024 Pass 3: (Sort the list according to the digits at 100's place) 02, 10, 1024, 803, 901. Pass 4: (Sort the list according to the digits at 1000's place) 02, 10, 803, 901, 1024 Therefore, the list generated in the step 4 is the sorted list, arranged from radix sort.Algorithm
C ProgramOutput: The sorted array is: 23 23 23 34 45 65 67 89 90 101 Java ProgramOutput: The sorted array is: 23 23 23 34 45 65 67 89 90 101 C# ProgramOutput: The sorted array is: 23 23 23 34 45 65 67 89 90 101
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