sorting and its types

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

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.

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

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.

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

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

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

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

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;

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]+" ");
} }

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.

23 15 29 11 1
23 15 29 11 1
Pass
1:
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

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

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

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

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;

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]+" ");
}}

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 .

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.

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

75 57 25 19 4
Pass 1:
75 57 25 19 4
57 75 25 19 4
0,1

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

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

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

sorting and its types

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sorting and its types