Which time complexity denotes an algorithm whose performance grows linearly with its input size? a) O(1) b) O(n) c) O(log n) d) O(n^2)
Understand the Problem
The question is asking for the time complexity that characterizes algorithms whose performance is directly proportional to the size of the input, which is commonly referred to as linear time complexity.
Answer
O(n)
The time complexity that denotes an algorithm whose performance grows linearly with its input size is O(n).
Answer for screen readers
The time complexity that denotes an algorithm whose performance grows linearly with its input size is O(n).
More Information
The time complexity O(n) indicates that the algorithm's running time increases linearly with the size of the input data set, meaning the time taken is directly proportional to the number of elements processed.
Tips
A common mistake is confusing O(n) with other time complexities like O(1) or O(log n). O(n) involves iterating over all elements which is different from constant or logarithmic time.
Sources
- Big O Chart - FreeCodeCamp - freecodecamp.org
- Big O Notation Tutorial - GeeksforGeeks - geeksforgeeks.org
- So what the hell is O(x) Time? : r/compsci - Reddit - reddit.com
AI-generated content may contain errors. Please verify critical information
