Category "time-complexity"

What is the time-complexity of the pseudo-inverse in pytorch (i.e. torch.pinverse)?

Let's say I have a matrix X with n, m == X.shape in PyTorch. What is the time complexity of calculating the pseudo-inverse with torch.pinverse? In other words,

Recursive and Iterative Binary Search: Which one is more efficient and why?

I have written the algorithms for recursive and iterative binary search: Recursive AlgorithmBinSrch(a, i,l,x) // Given an array a[i :l] of elementsin nondecre

Leetcode word ladder : How is this solution most efficient?

I'm doing this question in Leetcode : https://leetcode.com/problems/word-ladder/ My solution was a BFA approach, and only one nested loop: def ladderLength(self

Finding Big O of the Harmonic Series

Prove that 1 + 1/2 + 1/3 + ... + 1/n is O(log n). Assume n = 2^k I put the series into the summation, but I have no idea how to tackle this problem. Any he

String comparison time complexity

Which comparison would take longer time? a = helloworldhelloworldhelloworldb = https://www.somerandomurls.com/directory/anotherdirectory/helloworld.htmlif a !=

Nested for loop in Big Oh Complexity

for(int i = 0; i < n; i++) { for(int j = 0; j < i; j++){ // do swap stuff, constant time } } I read that single for loop is O(N) and trav

What is O(log(n!)) and O(n!) and Stirling Approximation

What is O(log(n!)) and O(n!)? I believe it is O(n log(n)) and O(n^n)? Why? I think it has to do with Stirling Approximation, but I don't get the explanation v

Squares of a Sorted Array, why sorted() method is faster than O(n) method? [closed]

I am working on leetcode algorithm problem 977. Squares of a Sorted Array. Why the submissions using built-in method sorted is faster than my

Using Big O Notation, what is the correct label for this algorithm?

I am curious. What is the correct way to describe this using Big-O Notation? var prices = [100, 180, 260, 590, 40, 310, 535, 10, 5, 3]; var biggest_profit = 0;

How does sorting with an index work in MongoDB?

I'm wondering how sorting with an index actually works in MongoDB. There are a couple articles in the MongoDB documentation, but they don't actually describe ho