Jan 8, 2011 · Here is a Java version which is well suited for small N and very large target sum, when complexity O(t*N) (the dynamic solution) is greater than the exponential algorithm. My version uses a meet in the middle attack, along with a little bit shifting in order to reduce the complexity from the classic naive O(n*2^n) to O(2^(n/2)) .

Dec 1, 2023 · According to Cormen et al. Introduction to Algorithms (Appendix B.5.3), the depth of a node X in a tree T is defined as the length of the simple path (number of edges) from the root node of T to X.

Robust peak detection algorithm (using z-scores) I came up with an algorithm that works very well for these types of datasets. It is based on the principle of dispersion: if a new datapoint is a given x number of standard deviations away from a moving mean, the algorithm gives a signal.

Aug 26, 2008 · Some of the answers do refer to Vincenty's formula for ellipsoids, but that algorithm was designed for use on 1960s' era desk calculators and it has stability & accuracy issues; we have better hardware and software now. Please see GeographicLib for a high quality library with implementations in various languages. –

An O(ND) Difference Algorithm and its Variations (1986, Eugene W. Myers) is a fantastic paper and you may want to start there. It includes pseudo-code and a nice visualization of the graph traversals involved in doing the diff. Section 4 of the paper introduces some refinements to the algorithm that make it very effective.

Feb 25, 2010 · Algorithm may yield an exact or approximate values. It also may compute a random value that is with high probability close to the exact value. A heuristic algorithm uses some insight on input values and computes not exact value (but may be close to optimal). In some special cases, heuristic can find exact solution.

Aug 3, 2011 · Unless P = NP, there is no polynomial-time algorithm for generating general Sudoku problems with exactly one solution. In his master's thesis, Takayuki Yato defined The Another Solution Problem (ASP), where the goal is, given a problem and some solution, to find a different solution to that problem or to show that none exists.

Aug 31, 2016 · One small correction, "HS256 (HMAC with SHA-256), on the other hand, is a symmetric algorithm" - HMAC does not utilize a symmetric-key algorithm (which would allow you to encrypt and decrypt the signature by its definition). It utilizes a cryptographic hash function and a secret cryptographic key underneath HMAC. Which implies calculation of ...

Big-O does not measure efficiency; it measures how well an algorithm scales with size (it could apply to other things than size too but that's what we likely are interested here) - and that only asymptotically, so if you are out of luck an algorithm with a "smaller" big-O may be slower (if the Big-O applies to cycles) than a different one until you reach extremely large numbers.

Jul 31, 2009 · The best way to deal with angle computation is to use atan2(y, x) that given a point x, y returns the angle from that point and the X+ axis in respect to the origin.