This document discusses different types of sorting algorithms. It describes internal sorting and external sorting, with internal sorting handling all data in memory and external sorting requiring external memory. Bubble sort, selection sort, and insertion sort are briefly explained as examples of sorting methods. Bubble sort works by comparing adjacent elements and swapping if out of order, selection sort finds the minimum element and selection sort inserts elements into the sorted position. Pseudocode and examples are provided for each algorithm.

1. Sorting
And Its
Types

2. SORTING
Sorting refers to operations of
arranging a set of data in a given
order.
10 20 30 40 50 60
30 10 60 20 50 40 Unsorted List
Sorted List

3. BASIC TYPES :
Internal Sorting:
If all the data to be sorted can be
adjusted in main memory then it is
called as Internal Sorting.
External Sorting:
If data to be stored is large and aquires
external memory then the type is called
as External Sorting.

4. METHODS OF SORTING:
Bubble Sort
Selection Sort
Insertion Sort

5. BUBBLE SORT

6. ALGORITHM
Bubble Sort:
Algorithm of bubble sort includes two steps
repeated until the list is sorted.
 Compare adjacent elements, if the
element on right side is smaller then
swap their positions.
 Compare first element, second element
and so on on completion of Pass 1 the
largest element is at last position.

7. Pass 1:
50 10 30 20 40
50 10 30 20 40
10 50 30 20 40
10 30 50 20 40
10 30 20 50 40
10 30 20 40 50
0,1
1,2
2,3
3,4
Number Of Passes = Max – 1 = 5 – 1 = 4

8. Pass 2:
10 30 20 40 50
10 30 20 40 50
10 30 20 40 50
10 30 20 40 50
0,1
1,2
2,3

9. Pass 3:
10 30 20 40 50
10 30 20 40 50
10 30 20 40 50
0,1
1,2

10. Pass 4:
10 30 20 40 50 0,1
10 30 20 40 50
10 30 20 40 50 Sorted list

11. To sort numbers in ascending order using bubble sort
technique
import java.util.*;
public class bubbleSort{
public static void main(String a[]) throws Exception
{
int i,j,n;
int a[] = {50,10,30,20,40};
System.out.println("Values Before the sort:n");
for(i = 0; i < a.length; i++)
System.out.print( a[i]+" ");
System.out.println();
n=a.length;

12. for(i = 1; i < n; i++)
{
for(j = 0; j < (n-i); j++)
{
if(a[j] > a[j+1]){
t = a[j];
a[j]=a[j+1];
a[j+1]=t;
}
}
}
System.out.print("Values after the sort:n");
for(i = 0; i <a.length; i++)
System.out.print(a[i]+" ");
} }

13. SELECTION SORT

14. ALGORITHM
Selection Sort:
Here in selection sort the algorithm depends on the
zeroth element majorly.
 The Zeroth element is compared with the first
element and if the element at right is found smaller
then their positions are swapped or exchanged.
 The same procedure is carried with all elements of
the list resulting into a fully sorted list.

15. 23 15 29 11 1
23 15 29 11 1
Pass
1:
Number Of Passes = Max – 1 = 5 – 1 = 4
15 23 29 11 1
15 23 29 11 1
11 23 29 15 1
1 23 29 15 11
0,1
0,2
0,3
0,4

16. 1 23 29 15 11
Pass 2:
1 29 23 15 11
1 15 23 29 11
1 11 23 29 15
1,2
1,3
1,4

17. 1 11 23 29 15
Pass 3:
1 11 23 29 15
1 11 15 29 23
2,3
2,4

18. Pass 4:
1 11 15 29 23
1 11 15 23 29
1 11 15 23 29 Sorted List
3,4

19. To sort numbers in ascending order using selection
sort technique
import java.util.*;
public class selectionSort{
public static void main(String a[]) throws Exception
{
int i,j;
int a[] = {23,15,29,11,1};
System.out.println("Values Before the sort:n");
for(i = 0; i < a.length; i++)
System.out.print( a[i]+" ");
System.out.println();
n=a.length;

20. for(i = 0; i < n; i++)
{
for(j = i+1; j < n; j++)
{
if(a[i] > a[j]){
t = a[j];
a[j]=a[i];
a[i]=t;
}
}
}
System.out.print("Values after the sort:n");
for(i = 0; i <a.length; i++)
System.out.print(a[i]+" ");
}}

21. INSERTION SORT

22. Mathematical applications : in the search for
greater value, or the smallest value. In
many other applications.
This method is effective when dealing
with small numbers .

23. ALGORITHM
Insertion Sort
In insertion sort the elements are compared
and inserted to respective index place.
 It starts with comparision of 1st and 0th
element in pass 1.
 In pass 2 the second element is compared
with the 1st and 0th element.
 Doing so with all the elements in the list
appropriate element is inserted by shifting
elements on right.

24. public insertionSort( int [] a r r )
{
f or ( i n t i = 1; i < arr.Length; ++i)
{
i n t temp = a r r [ i ] ;
i n t pos = i ;
}
arr[pos] = temp;
}
}
Select
while (arr[pos-1].CompareTo(temp) > 0 &&pos > 0)
{
Comparing
arr[pos] = arr[pos-1];
pos--;
Shift
Insert

25. 75 57 25 19 4
Pass 1:
75 57 25 19 4
Number Of Passes = Max – 1 = 5 – 1 = 4
57 75 25 19 4
0,1

26. Pass 2:
57 75 25 19 4
25 57 75 19 4
0,2

27. 25 57 75 19 4
Pass 3:
19 25 57 75 4
0,3

28. 4 19 25 57 75
Pass 4:
19 25 57 75 4 0,4

29. Thank You…!