Time Complexity where loop variable is incremented by 1, 2, 3, 4 ..
What is the time complexity of below code?
void fun(int n) { int j = 1, i = 0; while (i < n) { // Some O(1) task i = i + j; j++; } } |
chevron_right
filter_none
The loop variable ‘i’ is incremented by 1, 2, 3, 4, … until i becomes greater than or equal to n.
The value of i is x(x+1)/2 after x iterations. So if loop runs x times, then x(x+1)/2 < n. Therefore time complexity can be written as Θ(√n).
This article is contributed by Piyush Gupta. Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above
Recommended Posts:
- Time Complexity of a Loop when Loop variable “Expands or Shrinks” exponentially
- Time Complexity of Loop with Powers
- Time taken by Loop unrolling vs Normal loop
- A Time Complexity Question
- An interesting time complexity question
- Time Complexity of building a heap
- Practice Questions on Time Complexity Analysis
- Understanding Time Complexity with Simple Examples
- Time complexity of recursive Fibonacci program
- Time Complexity Analysis | Tower Of Hanoi (Recursion)
- Python Code for time Complexity plot of Heap Sort
- C program for Time Complexity plot of Bubble, Insertion and Selection Sort using Gnuplot
- Cyclomatic Complexity
- What does 'Space Complexity' mean?
- Complexity Analysis of Binary Search
