How is the efficiency of an algorithm determined?

In computer science, algorithmic efficiency is a property of an algorithm which relates to the amount of computational resources used by the algorithm. An algorithm must be analyzed to determine its resource usage, and the

Which is more efficient ifelse or multi line programming?

An additional quirk of ifelse () is that although it is more programmer efficient, as it is more concise and understandable than multi-line alternatives, it is often less computationally efficient than a more verbose alternative.

Which is the fastest Fibonacci calculation in Python?

The iterative solution is by far the fastest and does not corrupt the stack even for n=100k (0.162 seconds). It does not return the intermediate Fibonacci numbers indeed. If you want to compute the n th even Fibonacci number, you could adapt the iterative approach like this: Or if you are interested in every even number on the way, use a generator:

Which is the fastest algorithm to find prime numbers?

Rabin-Miller is a standard probabilistic primality test. (you run it K times and the input number is either definitely composite, or it is probably prime with probability of error 4 -K. (a few hundred iterations and it’s almost certainly telling you the truth) There is a non-probabilistic (deterministic) variant of Rabin Miller.

Which is the best definition of an efficient estimator?

What is an Efficient Estimator? An efficient estimator is the “best possible” or “optimal” estimator of a parameter of interest. The definition of “best possible” depends on one’s choice of a loss function which quantifies the relative degree of undesirability of estimation errors of different magnitudes.

Which is the most efficient way to calculate the least common?

See Knuth ‘s ” The Art of Computer Programming ” Volume 2, “Seminumerical Algorithms” § 4.5.2. Yes, LCM using GCD is fast and easy to code. One small but important detail: in order to avoid overflows, calculate the final result like this: lcm = a / gcd * b instead of lcm = a * b / gcd. – Bolo Jul 1 ’10 at 1:41

Which is the most efficient way to calculate the GCD?

The Euclidean algorithm is generally how the gcd is computed. The direct implementation of the classic algorithm is efficient, but there are variations that take advantage of binary arithmetic to do a little better. See Knuth ‘s ” The Art of Computer Programming ” Volume 2, “Seminumerical Algorithms” § 4.5.2.

Which is the most efficient way to calculate LCM?

Here is a highly efficient approach to find the LCM of two numbers in python. Take successive multiples of the larger of the two numbers until the result is a multiple of the smaller. this might work..