RADIX SORT INTRODUCTION TO ALGORITHMS

2.  It is a sorting algorithm that is used to sort numbers
and it is non comparative sorting method.
 Radix sort was developed for sorting large integers, but it
treats an integer as a string of digits, so it is really a string
sorting algorithm.
 There are two types of radix sorting:
MSD :-
Radix sort starts sorting from the beginning of strings (most
significant digit).
LSD :-
Radix sort starts sorting from the end of strings (least
significant digit)

3.  Suppose we have 3-digits number and total number
which we will sort are 5.
lets starts, we have numbers 120,234,204,101,230
We have 3-digits numbers so the number of passes will
be 3. suppose we have 5 buckets,
Pass 1: sorting 1 digit from right.
120 has 1st digit 0 put it in 0 bucket, this process repeats
as it is for remaining bucket
0 1 2 3 4
230
120
101 204
234

4. We collect all numbers from bottom up sequence from
bucket so it will be like this
120,230 ,101,234,204
Pass 2:
We will take 2nd -digit of number in Pass 2 .IN 120 “2 ” Is
2nd number put it in 2 bucket and this process is repeats as
it is in remaining buckets.
We collect numbers from bucket from bottom up sequence
so we get sorted numbers
101,204,120,230,234.
0 1 2 3 4
204
101
234
230120

5. Pass 3:
We will take 3rd digit number in Pass 3 .In 101 “1 ” Is 3rd
number put it in 1st bucket and this process is repeats as it is
in remaining buckets.
We collect numbers from bucket by bottom up sequence
0 1 2 3 4
RADIX SORT :
Sorted numbers are
101,120,204,230,234.
120
101
234
230
204