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### How to calcualte the Big-O complexity of the following algorithm?

I have been trying to calculate the Big-O of the following algorithm and it is coming out to be O(n^5) for me. I don't know what the correct answer is but most of my colleagues are getting O(n^3). <...
155 views

### Asymptotic Analysis of Nested Loops with Conditionals

I'm trying to run an analysis of a set of nested loops so that I can determine the value of variable sum after the outer loop is finished. The code is as follows: <...
114 views

### Time Complexity of the below code? [duplicate]

here is a nested loop where all the variable are integers.This is another question to the thread. I understood the solution part , but stuck in the time-complexity part. What is the time complexity ...
134 views

### algorithm analysis - complex dependant nested loop

First of all, I know there are many questions like this on the site. But I think this case is a bit different. Consider the following code: ...
119 views

### What would be the big-o time complexity of this scenario? [duplicate]

I am wondering what the time complexity of a for loop that increments the control variable, but also multiplies it inside the loop. For example ...
50 views

### What will be big O complexity for this loop? [duplicate]

I am not able to understand time complexity of this for loop. While outer loop is O(n) the inner loop jumps certain calculation. How to find the complexity? ...
218 views

### Time complexity dependent on magnitude of input [duplicate]

I'm trying to analyze an algorithm that looks like this: def foo(L): for n in L: for x in range(n): ... What would be its time complexity?...
1k views

### Find the efficiency class

I have to find the efficiency class of this algorithm b = 3 a = 4 for i = 4 to n^2 if (i mod 2 == 0) a = a+2 else b = b*3 end for I ...
570 views

### Big-O notation for nested loops that might skip iterations

When you have an algorithm that may skip a lot of iterations due to a hash table lookup, do you still count the iterations that are exited immediately? Hypothetical example: ...
409 views

### Finding time complexity when while loop included [duplicate]

There are two sorted arrays nums1 and nums2 of size m and n respectively. Find the median of the two sorted arrays. Example 1: nums1 = [1, 3] nums2 =  The median is 2.0 Example 2: nums1 = [1, ...
181 views

### Exponential nested Loop Big O complexity calculation [duplicate]

Can I get a bit of help over here, I can't seem to get to a finish point with this code complexity. I have trouble with making notations, exponential ones in particular..... I spent hours with this ...
411 views

### Why does the insertion-sort algorithm have a quadratic instead of a quasi-linear time complexity?

Can someone explain how the insertion sort have quadratic time complexity and not quasi-linear time complexity in the worst-case? Even in the case of a reversely sorted list, it's not like it'll have ...
88 views

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s = n while (s > 4) s = s / 2 else s = s - 1 Let $T(n) = \Theta(S(n))$ where $S(n)$ is number of while-loop runs. $S(n)=1 + S(n/2)$ if $n$ is even $S(n)=... 1answer 251 views ### Big Oh notation for a function with two inputs of linear growth I'm quite new to time-complexity analysis so I might have misunderstood some basic concepts but lets say we have the following function: ... 1answer 34 views ### Little bit confusing to compute time complexity of nested loop [duplicate] 1 for(i=1; i<=n; i++){ 2 for(j=1; j<=n; j*=2){ 3 a[i][j]=b[i][j-1]+1; 4 } 5 } line 1 : n+1 times lnie 2 : n/2+1 times line 3 : constant time c ... 1answer 166 views ### time complexity when power is involved in iteration How do I calculate the time complexity of the following method? Would you please provide explanation? I know it's going to involve sqrt(n) * <something>. I ... 2answers 1k views ### Time complexity of euler totient function Code for finding$\phi$(n) is ... 2answers 1k views ### Solving complexity using summation I have the following algorithm: func() { for(i=1; i<n; i=i*2) print("aa"); } How can I find Big-Oh using summation? 1answer 1k views ### Complexity of while loop using series For the following code fragment: i = 1; s = 1; while(s <= n) { i++; s = s+i; printf("x"); } How can we go about proving the time complexity of ... 1answer 146 views ### Complexity of a loop If the body of a simple for loop has time complexity$O(n)$and it is executed$n-1$times what is the time complexity of the complete loop? I am trying to figure out the correct answer to this ... 0answers 97 views ### How many operations does this algorithm require? I have the following algorithm x = 0 S = {} k = 1 while x + a[k] < n do S = S + {k} x = x + a[k] k = k + 1 end where ... 1answer 3k views ### Recursion call inside a for loop time I'm analyzing a piece of code that has a recursive call inside a for loop such as: ... 0answers 275 views ### Run time analysis of a program with nested for loops Problem Let's say we are given a program and we want to find an algorithm that analyses its asymptotic complexity. This program can only have two types of statements: ... 1answer 395 views ### How to get O(Big-oh) notation for following Code [duplicate] What i came up with is this 1) inner loop goes to 2n and at each. step it increments n/3 times threfore 2log n times it will execute 2) outer goes to n incrementing by 1 threfore n times Hence for ... 2answers 3k views ### Time Complexity of a iterative program [duplicate] ... 0answers 40 views ### Time complexity of a nested loop [duplicate] I need to figure out the complexity of the following loop in theta notation but I can't figure it out. Some help would be much appreciated. ... 3answers 2k views ### Nested Loop Time Complexity vs Successive Loops An algorithm has a calculation whose worst case time complexity$T(x)=O(x^2)$that outputs solutions$y$&$z$for input$x$(the algorithm's worst case time complexity is greater than quadratic ... 1answer 241 views ### Calculate the complexity of an algorithm [duplicate] I have an algorithm here and it wants me to calculate the complexity: ... 0answers 292 views ### How to calculate runtime complexity of the nested loops with variable length Suppose I have a task to write an algorithm that runs through an array of strings and checks if each value in the array contains s character. The algorithm will ... 2answers 173 views ### Complexity of the algorithm to find occurences of a given number in a given array I have an algorithm that I think its complexity is O(n^2). However, our teacher insists that the algorithm takes O(n) time. How can it be? Here is the pseudo-code of the algorithm: ... 1answer 411 views ### Time complexity of nested loops help [duplicate] How exaclty do you determine this specific codes runtime is theta(n^2)??I can see theres two while loops which go from i and j to n but would like a more precise way of determing this? If someone ... 0answers 59 views ### Big-Oh of algorithm I found an algorithm which sorts the digits of a number to its smallest form. IE 54321 ==> 12345. The algorithm looks like: ... 2answers 1k views ### Looping and branching with Algorithmic Differentiation Algorithmic (aka Automatic) Differentiation is a wonderful technique for numerical computation of derivatives. I understand how it relates to the fact that we know how to deal with every elementary ... 0answers 36 views ### Time complexity ($\Theta$) of function [duplicate] Let f be the function with one argument - positive integer n ... 2answers 411 views ### Prove correctness of iterative LCM algorithm I have been trying to prove the following algorithm, without success. Here is the C-Style pseudocode: ... 1answer 494 views ### Big O complexity of algorithm with a nested for loop only running once I have been debating with someone about the big O complexity of the following algorithm. We have a different understanding of the theory. Basically one of us thinks that this algo is automatically O(N^... 1answer 535 views ### Calculate Complexity, loop incremented by log(k) I'm preparing for an exam, and I ran across the following algorithm: ... 1answer 813 views ### Triple nested loop where outer and inner loop are dependent on n I am trying to count the exact/total number of iterations these nested for-loops are executed: ... 2answers 121 views ### Approximating the runtime of a practice problem [duplicate] I'm studying for an algorithms exam and came upon the problem : ... 0answers 57 views ### Behavior of an algorithm with inner loop step by 2 and outer loop decrements inner loop times [duplicate] I designed an algorithm like this but I do not know how to perform its analysis to determine how it runs$($$O(n), O(n^2), O(log(n), etc$$)$... 3answers 1k views ### Analyzing the time complexity of nested loops So I've been given a piece of pseudo code that involves nested loops. The answer to this question is Θ(n^5) but I do not understand why it is so. What is the time complexity of this code? ... 0answers 466 views ### Bridge Crossing Problem Proof? I'm trying to find an optimal solution that will work for the bridge crossing problem. In case you don't know it you can check out the Ted Ed video on it. They show how you can do it with 5 people but ... 0answers 15 views ### Big o of for loop with multiplication iteration [duplicate] For(int i=1;i<=n;i*=2) Statement I'm making notes for competitive exam and made this problem. But I'm not getting solution. Is it O( log n)? If so why? 0answers 48 views ### Complexity of this function [duplicate] I have this function ... 1answer 173 views ### Amortised analysis of a simple loop and 3 operations I'm trying to figure out amortised analysis of this loop and I can't figure out how to prove that complexity is$O(n \log n)$. Operation OP(S,X[i]) has complexity ... 0answers 29 views ### Time complexity of nested for loop function involving mod to filter out the execution [duplicate] I have to find the time complexity of the following program: ... 1answer 3k views ### What is the time complexity of the nested loop ($j=i \ldots n$inside$i=1 \ldots n$)? [duplicate] I am looking for the time complexity of the following nested loops, where the inner loop is shrinking. ... 4answers 1k views ### What is the time complexity of this algorithm? In my class my teacher calculated the time complexity for this algorithm, relative to the number of sum operations executed: She represented the cost of the algorithm by the following sum:$\sum\...
To initialize an array of length $n$ has complexity $O(n)$, as far as I understand. If I set every element to zero (with one code line), does that have time complexity $O(n)$ also? And in that case, ...