RE: Free will and humans
March 11, 2016 at 11:04 am
(This post was last modified: March 11, 2016 at 11:06 am by ErGingerbreadMandude.)
(March 11, 2016 at 8:22 am)Jehanne Wrote:(March 11, 2016 at 5:23 am)pool the great Wrote: Then you have 0 creativity
Then, please, show us your proof:
Quote:The travelling salesman problem (TSP) asks the following question: Given a list of cities and the distances between each pair of cities, what is the shortest possible route that visits each city exactly once and returns to the origin city? It is an NP-hard problem in combinatorial optimization, important in operations research and theoretical computer science.
Solution of a travelling salesman problem
TSP is a special case of the travelling purchaser problem and the vehicle routing problem.
In the theory of computational complexity, the decision version of the TSP (where, given a length L, the task is to decide whether the graph has any tour shorter than L) belongs to the class of NP-complete problems. Thus, it is possible that the worst-case running time for any algorithm for the TSP increases superpolynomially (perhaps, specifically, exponentially) with the number of cities.
The problem was first formulated in 1930 and is one of the most intensively studied problems in optimization. It is used as a benchmark for many optimization methods. Even though the problem is computationally difficult, a large number of heuristics and exact algorithms are known, so that some instances with tens of thousands of cities can be solved completely and even problems with millions of cities can be approximated within a small fraction of 1%.[1]
The TSP has several applications even in its purest formulation, such as planning, logistics, and the manufacture of microchips. Slightly modified, it appears as a sub-problem in many areas, such as DNA sequencing. In these applications, the concept city represents, for example, customers, soldering points, or DNA fragments, and the concept distance represents travelling times or cost, or a similarity measure between DNA fragments. The TSP also appears in astronomy, as astronomers observing many sources will want to minimise the time spent slewing the telescope between the sources. In many applications, additional constraints such as limited resources or time windows may be imposed.
https://en.wikipedia.org/wiki/Travelling...an_problem
Exactly the reason why I said you need to think creatively.
Ask me this, can I write an algorithm to accomplish an impossible task? Like get to moon in one jump?
Yes. Of course I can. You can't seem to figure it out because you are thinking one dimensionally