Algorithm and Complexity Analysis For each of the program segment below, identif

Question

Algorithm and Complexity Analysis For each of the program segment below, identify the time complexity in Big O notation (Make sure to complete all the calculations before drawing your conclusion on the final Big O. You may want to refer to the math equation sheet to do the calculation though. 1 point each): 7. a) II Fragment 1 Il Fragment 2 sum0 for (int i-1; iknA2; i-i*2) b) sum 0 for (#1 ; i-m i i*3) sum++; sum-sum++ for (int j=n; P0j--) sum-; c) I Fragment 3 d) Fragment 4 sum = 0; for (i-n; i-1; i-) sum0; for (i-n: i: 1 ; i--) for (j-i;jken; j++) for (j = 1;jc=100; j++) sum++ sum++; e) Il Fragment 5 sum = 0; for (i-1; c10; i++) for (int j=1 ; j

Explanation / Answer

Ans:

1) O(n)

2)O(n) (n*n in same loop, so loop excution like n only.complexity won't increase)

3O(nlogn)

4)O(nlogn)

5)O(nlogn) (n*n in same loop, so loop excution like n only.complexity won't increase)

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