Algorithm and Data Structure - Linear Search
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The document provides an overview of searching algorithms, focusing on linear search and its implementation. It explains the basic steps of linear search, advantages and disadvantages, along with examples of its operation on different datasets. The discussion highlights the importance of selecting the appropriate search algorithm based on the application's requirements.
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DSA Lec 5+6(Search+Sort) (1).pdfMustafaJutt4 This document discusses sequential and interval searching techniques in data structures. It provides examples of linear search and binary search algorithms. Linear search sequentially checks each element to find a match, having a worst-case complexity of O(n). Binary search repeatedly targets the midpoint of a sorted array, dividing the search space in half, with a worst-case complexity of O(log n). Selection sort is also discussed as an example of an iterative sorting algorithm, which finds the minimum element and places it in the first position in each pass.
Searching
SearchingA. S. M. Shafi The document discusses two searching algorithms - linear search and binary search. Linear search sequentially compares the target element to each element in the array, while binary search uses a divide and conquer approach to quickly hone in on the target element in a sorted array. Both algorithms are demonstrated with pseudocode and examples.
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- 1. Algorithm and Data Structure Andi Nurkholis, S.Kom, M.Kom Study Program of Informatics Faculty of Engineering and Computer Science SY. 2020-2021 May 03, 2021
- 3. 3 What is Searching? Searching for data stored in different data structures is a crucial part of pretty much every single application. There are many different algorithms available to utilize when searching, and each have different implementations and rely on different data structures to get the job done.
- 4. 4 Searching Algorithm 1) Linear Search 2) Binary Search Being able to choose a specific algorithm for a given task is a key skill for developers and can mean the difference between a fast, reliable and stable application and an application that crumbles from a simple request.
- 6. 6 Linear Search Linear search is a very basic and simple search algorithm. In Linear search, we search an element or value in a given array by traversing the array from the starting, till the desired element or value is found. Linear search also known as sequential search
- 7. Steps of Linear Search 1. Traverse the array using a for loop 2. In every iteration, compare the target value with the current value of the array. • If the values match, return the current index of the array. • If the values do not match, move on to the next array element. 3. If no match is found, return -1 7
- 8. Example 8 data_1 = {3, 8, 6, 1, 9, 5, 7, 0, 2, 4} 1) Find value 7 in array data_1 data_2 = {8, 0, 1, 9, 2, 4, 3, 7, 5, 3} 2) Find value 3 in array data_2 data_3 = {7, 6, 1, 9, 3, 8, 5, 0, 1, 2} 3) Find value 4 in array data_3
- 9. Answer 1 9 Step 1 3 8 6 1 9 5 7 0 2 4 Value searched for 7 Value in 0-index array is 3 Is value 7 = 3? FALSE Then Algorithm is CONTINUE
- 10. Answer 1 (cont.) 10 3 8 6 1 9 5 7 0 2 4 Step 2 Value searched for 7 Value in 1-index array is 8 Is value 7 = 8? FALSE Then Algorithm is CONTINUE
- 11. Answer 1 (cont.) 11 3 8 6 1 9 5 7 0 2 4 Step 3 Value searched for 7 Value in 2-index array is 6 Is value 7 = 6? FALSE Then Algorithm is CONTINUE
- 12. Answer 1 (cont.) 12 3 8 6 1 9 5 7 0 2 4 Step 4 Value searched for 7 Value in 3-index array is 1 Is value 7 = 1? FALSE Then Algorithm is CONTINUE
- 13. Answer 1 (cont.) 13 3 8 6 1 9 5 7 0 2 4 Step 5 Value searched for 7 Value in 4-index array is 9 Is value 7 = 9? FALSE Then Algorithm is CONTINUE
- 14. Answer 1 (cont.) 14 3 8 6 1 9 5 7 0 2 4 Step 6 Value searched for 7 Value in 5-index array is 5 Is value 7 = 5? FALSE Then Algorithm is CONTINUE
- 15. Answer 1 (cont.) 15 3 8 6 1 9 5 7 0 2 4 Step 7 Value searched for 7 Value in 6-index array is 7 Is value 7 = 7? TRUE Then Algorithm is STOP
- 16. 16 Final Result Value searched for 7 is FOUND in step 7
- 17. Answer 2 17 Step 1 8 0 1 9 2 4 3 7 5 3 Value searched for 3 Value in 0-index array is 8 Is value 3 = 8? FALSE Then Algorithm is CONTINUE
- 18. Answer 2 (cont.) 18 8 0 1 9 2 4 3 7 5 3 Step 2 Value searched for 3 Value in 1-index array is 0 Is value 3 = 0? FALSE Then Algorithm is CONTINUE
- 19. Answer 2 (cont.) 19 8 0 1 9 2 4 3 7 5 3 Step 3 Value searched for 3 Value in 2-index array is 1 Is value 3 = 1? FALSE Then Algorithm is CONTINUE
- 20. Answer 2 (cont.) 20 8 0 1 9 2 4 3 7 5 3 Step 4 Value searched for 3 Value in 3-index array is 9 Is value 3 = 9? FALSE Then Algorithm is CONTINUE
- 21. Answer 2 (cont.) 21 8 0 1 9 2 4 3 7 5 3 Step 5 Value searched for 3 Value in 4-index array is 2 Is value 3 = 2? FALSE Then Algorithm is CONTINUE
- 22. Answer 2 (cont.) 22 8 0 1 9 2 4 3 7 5 3 Step 6 Value searched for 3 Value in 5-index array is 4 Is value 3 = 4? FALSE Then Algorithm is CONTINUE
- 23. Answer 2 (cont.) 23 8 0 1 9 2 4 3 7 5 3 Step 7 Value searched for 3 Value in 6-index array is 3 Is value 3 = 3? TRUE Then Algorithm is STOP
- 24. 24 Final Result Value searched for 3 is FOUND in step 7, although as can be seen in the array there is other 3 value on the 9-index
- 25. Answer 3 25 Step 1 7 6 1 9 3 8 5 0 1 2 Value searched for 4 Value in 0-index array is 7 Is value 4 = 8? FALSE Then Algorithm is CONTINUE
- 26. Answer 3 (cont.) 26 7 6 1 9 3 8 5 0 1 2 Step 2 Value searched for 4 Value in 1-index array is 6 Is value 4 = 6? FALSE Then Algorithm is CONTINUE
- 27. Answer 3 (cont.) 27 7 6 1 9 3 8 5 0 1 2 Step 3 Value searched for 4 Value in 2-index array is 1 Is value 4 = 1? FALSE Then Algorithm is CONTINUE
- 28. Answer 3 (cont.) 28 7 6 1 9 3 8 5 0 1 2 Step 4 Value searched for 4 Value in 3-index array is 9 Is value 4 = 9? FALSE Then Algorithm is CONTINUE
- 29. Answer 3 (cont.) 29 7 6 1 9 3 8 5 0 1 2 Step 5 Value searched for 4 Value in 4-index array is 3 Is value 4 = 3? FALSE Then Algorithm is CONTINUE
- 30. Answer 3 (cont.) 30 7 6 1 9 3 8 5 0 1 2 Step 6 Value searched for 4 Value in 5-index array is 8 Is value 4 = 8? FALSE Then Algorithm is CONTINUE
- 31. Answer 3 (cont.) 31 7 6 1 9 3 8 5 0 1 2 Step 7 Value searched for 4 Value in 6-index array is 5 Is value 4 = 5? FALSE Then Algorithm is CONTINUE
- 32. Answer 3 (cont.) 32 7 6 1 9 3 8 5 0 1 2 Step 8 Value searched for 4 Value in 7-index array is 0 Is value 4 = 0? FALSE Then Algorithm is CONTINUE
- 33. Answer 3 (cont.) 33 7 6 1 9 3 8 5 0 1 2 Step 9 Value searched for 4 Value in 8-index array is 1 Is value 4 = 1? FALSE Then Algorithm is CONTINUE
- 34. Answer 3 (cont.) 34 7 6 1 9 3 8 5 0 1 2 The Last Step Value searched for 4 Value in 9-index array is 2 Is value 4 = 2? FALSE Then Algorithm is STOP
- 35. 35 Final Result Value searched for 4 is NOT FOUND, even though it was done until the end of the index array
- 36. Advantage of Linear Search 1. Will perform fast searches of small to medium array. With today's powerful computers, small to medium arrays can be searched relatively quickly. 2. The array value does not need to sorted. Unlike a binary search, linear searching does not require an ordered list. 3. Not affected by insertions and deletions. As the linear search does not require the list to be sorted, additional elements can be added and deleted. 36
- 37. Disadvantage of Linear Search 1. Slow searching of large array. For example, when searching through a database of everyone in the Northern Ireland to find a particular name, it might be necessary to search through 1.8 million names before you found the one you wanted. 2. Inversely, when a key element matches the last element in the array or a key element doesn't matches any element then Linear search algorithm is a worst case. 37
- 38. Thank You, Next … Binary Search May 03, 2021 Andi Nurkholis, S.Kom, M.Kom Study Program of Informatics Faculty of Engineering and Computer Science SY. 2020-2021