What is the complexity of following recursive code?
The Q&A of What is the time complexity of the following recursive function?:int DoSomething (int n){if {n< = 2)return 1;elsereturn DoSomething (floor (sqrt (n)))+n;} a) b)c)d)The correct answer is option 'D'.
Table of Contents
What is the time complexity of the following recurrence relation?
Recurrence relations to remember
Reappearance | Algorithm | great solution oh |
---|---|---|
T(n) = T(n-1) + O(1) | sequential search | In) |
T(n) = 2 T(n/2) + O(1) | tree tour | In) |
T(n) = T(n-1) + O(n) | Selection classification (other classes n2) | in 2) |
T(n) = 2 T(n/2) + O(n) | Mergesort (Quicksort average case) | O(n record n) |
How to calculate the complexity of a recursive function?
The most important point to remember is that the time depends on the number of books. Time can be represented as the order of n, that is, O(n). The time taken is in order of n. There is one more method to find the time complexity, that is, using the recurrence relation.
What is the time complexity of the recursive Fibonacci program?
Analysis of the recursive Fibonacci program: We know that the recursive Fibonacci equation is =++. What this means is that the time needed to compute fib(n) is equal to the sum of the time needed to compute fib(n-1) and fib(n-2). This also includes the constant time to perform the above addition.
Why is the time complexity in the for loop so high?
And here the for loop takes n/2 since we’re incrementing by 2, and the recursion takes n/5 and since the for loop is called recursively, therefore the time complexity is due to asymptotic behavior and considerations of the worst of cases. or the upper bound that large O strives for, we are only interested in the largest term, so O(n^2).
What is the difference between linear and recursive functions?
The first function is called recursively n times before reaching the base case, so it is O(n), often called linear. The second function calls n-5 for each time, so we deduct five from n before calling the function, but n-5 is also O(n). (Actually called order of n/5 times. And, O(n/5) = O(n) ).