The time complexity of the following code snippet isc=0; while (n>=1) {for(i=1;i>=n;i++){ c++;}n=n/2;}
Question
The time complexity of the following code snippet isc=0; while (n>=1) {for(i=1;i>=n;i++){ c++;}n=n/2;}
Solution
The given code snippet consists of a while loop and a nested for loop.
The outer while loop runs as long as n is greater than or equal to 1, and in each iteration, n is halved. This means the while loop runs in O(log n) time complexity.
However, there seems to be a mistake in the inner for loop. The condition is i>=n which means the loop will not run at all because i starts from 1 and n is always greater than 1. If the condition is supposed to be i<=n, then the for loop would run n times.
Assuming the condition is i<=n, the time complexity of the inner for loop is O(n).
Since the for loop is nested inside the while loop, we multiply the time complexities to get the overall time complexity. Therefore, the time complexity of the code snippet would be O(n log n).
However, if the condition is indeed i>=n, then the for loop does not run at all and the time complexity of the code snippet would be O(log n).
Similar Questions
What is the time complexity of the following code : int a = 0, i = N; while (i > 0) { a += i; i /= 2; }
What is time complexity of following code : int count = 0; for (int i = N; i > 0; i /= 2) { for (int j = 0; j < i; j++) { count += 1; } }
What is the time complexity of the following code fragment?for(i=1; i<n; i= i*2) a[i]=0;
What is the time complexity of the following code? for(int i = 0; i < n; i++) { for(int j = 0; j < i; j++) { System.out.println(i * j); } } a. O(n) b. O(2^n) c. O(n^2) d. O(n log n)
What is the time complexity of the following code fragment?for(i=1; i<n; i= i*2) a[i]=0; Group of answer choicesO(n/2)O(n^(1/2))O(n^2)O(log n)
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.