The document discusses searching and sorting algorithms, focusing on linear search, binary search, insertion sort, selection sort, and bubble sort. Linear search checks each element sequentially, while binary search operates on sorted arrays by comparing the middle element. Several sorting techniques are described, highlighting their methods and suitability for different data sizes.

1. SEARCHING
AND
SORTING

2. SEARCHING
Searching is a method of finding
a element position from group of
elements in data structure, such as
array, linked list, tree or graph.

4. LINEAR SEARCH :
 Linear search is also called as sequential search.
 It is a basic and simple search algorithm.
 Linear search starts at the beginning of the list and
checks every element in the list.
 Linear search compares the element with all the other
elements given in the list. If the element is matched it
returns the valve index, else it returns -1.

5. HOW LINEAR SEARCH WORKS ?
Now, let's see the working of the linear search Algorithm.
let's take an unsorted array. It will be easy to understand the working of
linear search with an example.
Let the elements of array are -
Let the element to be searched is K = 41
Now, start from the first element and compare K with each element of the array.
The value of K, i.e., 41, is not matched with the first element of the
array. So, move to the next element. And follow the same process until
the respective element is found.

6. Now, the element to be searched is found. So algorithm will return
the index of the element matched.

7. BINARY SEARCH :
 Binary search is used for searching an element
in a sorted array.
 It is useful when there are large number of
element in an array.
 These searching technique looks for a
particular element by comparing the middle
most element of the collection.

8. How does Binary search work ?
Now, let’s see the working of the Binary search algorithm.
Let the elements of array are-
Let the element to be searched is, K=56

9. Now, the element to search is found. So algorithm will return
the index of the element matched.

10. SORTING :
Sorting is a method of
elements of array in a particular
format either ascending or
descending.

11. Insertion
sort
Selection
sort
Bubble
sort
Sorting

12. INSERTION SORTING :
 Insertion sort algorithm arranges a list of
elements.
 In Insertion sort algorithm every iteration
moves an element from unsorted to sorted
portion.
 Until all the elements are sorted in the list.
 This algorithm is not suitable for the large data
set.

13. How does Insertion sort work ?

14. SELECTION SORTING :
 In Selection sorting algorithm the first element
in the list is selected and it is compared with all
the remaining elements in the list.
 If any element is smaller than the selected
element then the both are swapped.
 So, the first position is filled with smallest
element.
 This procedure is repeated until the entire list
is sorted.

15. How does Selection sort work ?
Now, let's see the working of the Selection sort Algorithm.
To understand the working of the Selection sort algorithm, let's take an unsorted array.
Let the elements of array are –

16. Now, the array is completely sorted.

17. BUBBLE SORTING :
 Bubble sort is the simplest sorting algorithm . It
always arrange the data in descending order.
 Bubble sort algorithm is not suitable for the
huge data set.
 Bubble sort algorithm compares two items at a
time and swapping them if they are in the
wrong order.
 The iteration is repeated until no swaps are
needed, which means list is sorted.

18. How does Bubble sort work ?
Now, let’s see the working of the Bubble sort
Algorithm. Suppose we have a list of array of 5 elements
A[5]={40,50,30,20,10}
Iteration-I:
A[0]=40 40 40 40 40 40
A[1]=50 50 50 30 30 30
A[2]=30 30 30 50 20 20
A[3]=20 20 20 20 50 10
A[4]=10 10 10 10 10 50

19. Iteration-II:
40 30 30 30
30 40 20 20
20 20 40 10
10 10 10 40
50 50 50 50
Iteration-III:
30 20 20
20 30 10
10 10 30
40 40 40
50 50 50

20. Iteration-IV:
20 10 10
10 20 20
30 30 30
40 40 40
50 50 50
Presented by:
Ch.Sreeja
Ch.Sandeep
K.Bhavani
S.Anil
R.Mounika