What is the time complexity of pseudo code?

In short: the while loop will each time run at most two iterations. This makes the algorithm O(n). It is clear that we will only execute the while loop if i < j . Furthermore if j mod 2 == 1 (so j is odd), then it will set j = i , and thus the while loop will no longer run.

What is the time complexity of a for loop?

The loop executes N times, so the sequence of statements also executes N times. Since we assume the statements are O(1), the total time for the for loop is N * O(1), which is O(N) overall.

What is the time complexity of for loop and while loop?

Each iteration in the while loop, either one or both indexes move toward each other. In the worst case, only one index moves toward each other at any time. The loop iterates n-1 times, but the time complexity of the entire algorithm is O(n log n) due to sorting.

What is the time complexity for 3 for loops?

3. for (j = 0; j < N; j++) g(k); Each time through the loop g(k) takes k operations and the loop executes N times. Since you don’t know the relative size of k and N, the overall complexity is O(N * k).

How do you find the time complexity of a nested loop?

Two nested loops: O(n²) + 2 + 1 = sum of arithmatic series from i = 0 to n – 1 = n(n – 1)/2 = n²/2 – n/2 = O(n²). At each step of the iteration, the nested loop is doing an O(1) operation. So overall time complexity = O(n²) * O(1) = O(n²).

How do you find the time complexity of a code?

For any loop, we find out the runtime of the block inside them and multiply it by the number of times the program will repeat the loop. All loops that grow proportionally to the input size have a linear time complexity O(n) . If you loop through only half of the array, that’s still O(n) .

What is the time complexity of two for loops?

What is the time complexity of nested for loop?

Every time the outer loop executes, the inner loop executes M times. As a result, the statements in the inner loop execute a total of N * M times. Thus, the total complexity for the two loops is O(N2).

What is the time complexity of an infinite loop?

Time complexity of an infinite loop Infinite loop is executed “Infinite times”. Therefore, there is no “algorithm time complexity” for an infinite loop.

What is the time complexity of two non nested for loops?

So we can say the complexity of each for loop is O(n) as each loop will run n times. So you specified these loops are not nested in a linear scenario for first loop O(n)+ second loop O(n)+ third loop O(n) which will give you 3O(n) .

Are two for loops always O N 2?

They aren’t always O(n^2) . You can easily create a situation where one of the loops affects the iterations of the other, yielding a different complexity.