in terms of its prime factors. In conjunction with a fast multiplication this yields an O( n(log n log log n) 2) complexity algorithm for n!. This might be compared to computing n! by multiplying 1 times 2 times
If space complexity is an issue, they may be preferable. However, my findings are that the overhead of implementing the algorithm with a more complex data structure results in a slower overall runtime. Meanwhile, space concerns are not relevant with most "realistic" datasets. There are still ...
Topcoder Open 2011 started recently. This weekend was the first qualification round of the algorithm competition. I had an interesting experience during it, which I want to share. The second problem was not that hard, though my solution seems to be too stupid for it. You can check out the...
This paper considers 2-regions of grid cubes and proposes an algorithm for calculating the number of tunnels of such a region. The graph-theoretical algorithm proceeds layer by layer; a proof of its correctness is provided, and its time complexity is also given....
When testing a system, it is often necessary to execute a suspicious trace in a realistic environment. Due to nondeterministic choices existing in concurrent systems, such a particular trace may not be scheduled for execution. Thus it is useful to comput
Exploring the special structure of these Markov chains, we are able to develop an efficient algorithm to compute the degree distribution numerically. The complexity of our algorithm is O(t^2), where $t$ is the number of time steps for adding new nodes. We use three examples to demonstrate ...
Should we could discuss using something without the additional CESR complexity and just a raw hashing algorithm? I think benefits and trade-offs should be clear and an excellent topic for DSWG. What about if someone wants to use a different hashing algorithm? Will they be required to follow ...
One possible idea is to establish an immediate connection between eigenvectors and matrix elements. If this kind of connection can be figured out, it may be an appealing method for matrix diagonalization. Certainly, it is not easy to obtain the possible connection, because few precedents can be ...
algorithm. Through real-time monitoring of the building environment, artificial intelligence technology can continuously gather and evaluate data from multiple sources, such as sensors and Internet of Things devices, to provide the most up-to-date information on emission levels and respond quickly to ...
We propose an algorithm for calculating the relevance factor of a product based on the product description, constraints defined by the buyer and the product’s quality of service characteristics, such as the delivery time or the seller trust level. The proposed algorithm is based on widely known...