For the function defined by f(n) = 6
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Write a Linear Search algorithm to search for a number 14 in the following list of integer numbers. How many search operations will be required in this example. Show all the intermediate steps.
| 85 | 65 | 47 | 41 | 9 | 35 | 18 | 25 | 36 | 14 |
Write Prim’s algorithm to calculate the minimum cost spanning tree of the following graph and calculate the time complexity of the algorithm. Show all the intermediate steps.
Solve the following recurrence relation using recurrence tree and iteration methods
T(n) = T(n-1) + n
Define time complexity of an algorithm and calculate how many times the assignment operation will execute in the following code fragment
for( i = 1, i <= n, i++)
for (j = 1, j <= m, j ++) {
x = x + 1;
Write important features of Bubble Sort algorithm. How is it different from Selection Sort and Insertion Sort algorithms in terms of the sorting processes? Apply Bubble Sort algorithm to do sorting of the following array of integer numbers in ascending order.
| 33 | 17 | 27 | 14 | 6 | 45 | 11 | 22 | 15 | 5 |
Write and apply the partition procedure of Quick Sort algorithm to the following array. Show all the intermediate steps.
| 25 | 27 | 15 | 35 | 13 | 50 | 33 | 14 | 40 | 27 |
Formulate a Knapsack problem and apply it to find an optimal solution for the following Knapsack problem. Use any two approaches:
- Kapacity of Knapsack: 25
- Number of Objects: 7
