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Top 4 Sorting Algorithms: Quick, Insertion, Shell & Merge Sort
- 1. SORTING
- 2. TYPES: • Quick Sort • Insertion Sort • Shell Sort • Merge Sort
- 4. INSERTION SORT: • One of the simplest algorithm. • Requires (n-1) steps…’n’-no. of elements. • Data movement takes place with the help of ’tmp’ and not by swapping.
- 7. SHELL SORT
- 8. SHELL SORT: • Named after Donald shell. • It compares the elements that are at distance. Shell sort is sometimes referred to as ”diminishing increment” sort. • The sorting number that is chosen must always be an odd number.
- 9. Original 81 94 11 96 12 35 17 95 28 58 41 75 15 After 5-sort 35 17 11 28 12 41 75 15 96 58 81 94 95 After 3-sort 28 12 11 35 15 41 58 17 94 75 81 96 95 After 1-sort 11 12 15 17 28 35 41 58 75 81 94 95 96
- 10. MERGE SORT
- 11. MERGE SORT: • It is a fine example of a recursive algorithm. • Makes use of 2 input array that are sorted among them. • Almost (n-1) comparisons. • Divide and conquer strategy.
- 12. 1 13 24 26 2 15 27 38 1 1 13 24 26 2 15 27 38 1 2 1 13 24 26 2 15 27 38 1 2 13
- 13. 1 13 24 26 2 15 27 38 1 2 13 15 1 13 24 26 2 15 27 38 1 2 13 15 24 1 13 24 26 2 15 27 38 1 2 13 15 24 26
- 14. 1 13 24 26 2 15 27 38 1 2 13 15 24 26 27 1 13 24 26 2 15 27 38 1 2 13 15 24 26 27 38
- 15. QUICK SORT
- 16. 8 1 5 14 4 15 12 6 2 11 7 10 6 1 5 7 4 2 8 14 15 11 1 0 12 1 4 2 5 6 7 8 11 10 12 14 15 1 2 4 5 6 7 8 11 10 12 14 15 1 2 4 5 6 7 8 10 11 12 14 15 8