### Q1 Show the steps of sorting the integers 23, 48, 11, 3, 79, 35, 7, 19 by using i. Selection sort ii. Bubble sort iii. Insertion sort iv. Merge sort v. In-Place Quick sort (with 1 st element as pivot) ``` # Selection sort 23 48 11 3 79 35 7 19 3 [48 11 23 79 35 7 19] 3 7 [11 23 79 35 48 19] 3 7 11 [23 79 35 48 19] 3 7 11 19 [79 35 48 23] 3 7 11 19 23 [35 48 79] 3 7 11 19 23 35 [48 79] 3 7 11 19 23 35 48 [79] # Bubble Sort [23 11 3 48 35 7 19] 79 [11 3 23 35 7 19] 48 79 [3 11 23 7 19] 35 48 79 [3 11 7 19] 23 35 48 79 [3 7 11] 19 23 35 48 79 3 7 11 19 23 35 48 79 # Insertion Sort 23 48 11 3 79 35 7 19 [23 48] 11 3 79 35 7 19 [11 23 48] 3 79 35 7 19 [3 11 23 48] 79 35 7 19 [3 11 23 48 79] 35 7 19 [3 11 23 35 48 79] 7 19 [3 7 11 23 35 48 79] 19 [3 7 11 19 23 35 48 79] # Merge Sort {23 48 11 3 79 35 7 19} {23 48 11 3}{79 35 7 19} {23 48}{11 3} {79 35}{7 19} {23}{48}{11}{3}{79}{35}{7}{19} {23 48}{3 11}{35 79}{7 19} {3 11 23 48} {7 19 35 79} {3 7 11 19 23 35 48 79} # Qucik sort index | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | StoreIndex data | 23| 48| 11| 3| 79| 35| 7| 19| 1 Step 1| 23| 48| 11| 3| 79| 35| 7| 19| 1 Step 2| 23| 11| 48| 3| 79| 35| 7| 19| 2 Step 3| 23| 11| 3| 48| 79| 35| 7| 19| 3 Step 4| 23| 11| 3| 48| 79| 35| 7| 19| 3 Step 5| 23| 11| 3| 48| 79| 35| 7| 19| 3 Step 6| 23| 11| 3| 7| 79| 35| 48| 19| 4 Step 7| 23| 11| 3| 7| 19| 35| 48| 79| 5 Step 8| 19| 11| 3| 7| 23| 35| 48| 79| 5 ``` ### Q2 Show the steps for sorting the integers 79, 48, 35, 23, 19, 11, 7, 3 by using the above five methods. ``` # Selection Sort 79 48 35 23 19 11 7 3 3 [48 35 23 19 11 7 79] 3 7 [35 23 19 11 48 79] 3 7 11 [23 19 35 48 79] 3 7 11 19 [23 35 48 79] 3 7 11 19 23 [35 48 79] 3 7 11 19 23 35 [48 79] 3 7 11 19 23 35 48 [79] # Bubble Sort 79 48 35 23 19 11 7 3 [48 35 23 19 11 7 3] 79 [35 23 19 11 7 3] 48 79 [23 19 11 7 3] 35 48 79 [19 11 7 3] 23 35 48 79 [11 7 3] 19 23 35 48 79 [7 3] 11 19 23 35 48 79 [3] 7 11 19 23 35 48 79 3 7 11 19 23 35 48 79 # Insertion Sort 79 48 35 23 19 11 7 3 [48 79] 35 23 19 11 7 3 [35 48 79] 23 19 11 7 3 [23 35 48 79] 19 11 7 3 [19 23 35 48 79] 11 7 3 [11 19 23 35 48 79] 7 3 [7 11 19 23 35 48 79] 3 [3 7 11 19 23 35 48 79] # Merge Sort {79 48 35 23 19 11 7 3} {79 48 35 23} {19 11 7 3} {79 48} {35 23} {19 11} {7 3} {79} {48} {35} {23} {19} {11} {7} {3} {48 79} {23 35} {11 19} {3 7} {23 35 48 79} {3 7 11 19} {3 7 11 19 23 35 48 79} # Quick Sort index | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | StoreIndex data | 79| 48| 35| 23| 19| 11| 7| 3| 1 Step 1| 79| 48| 35| 23| 19| 11| 7| 3| 2 Step 2| 79| 48| 35| 23| 19| 11| 7| 3| 3 Step 3| 79| 48| 35| 23| 19| 11| 7| 3| 4 Step 4| 79| 48| 35| 23| 19| 11| 7| 3| 5 Step 5| 79| 48| 35| 23| 19| 11| 7| 3| 6 Step 6| 79| 48| 35| 23| 19| 11| 7| 3| 7 Step 7| 79| 48| 35| 23| 19| 11| 7| 3| 8 Step 8| 3| 48| 35| 23| 19| 11| 7| 79| 8 ``` ### Q3 | Algorithms | Data is in random order | Data is ascesndinf order(Guess) | Data is in descending order | In place? (yes or no) | | --- | --- | --- | --- | --- | | Selection | O(n^2) | O(n^2) | O(n^2) | yes | | Bubble | O(n^2) | O(n) | O(n^2) | yes | | Insertion | O(n^2) | O(n) | O(n^2) | yes | | Merge | O(n log n) | O(n log n) | O(n log n) | no | | Quick | O(n log n) | O(n^2) | O(n^2) | yes |