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Problem 418
Posted: Fri Dec 04, 2015 11:56 am
by demongolem
I think that as an added help the problem should state that c / a does not have to be an integer. I wasted like 10 minutes before I went and solved f(165) seeing that there was no way that the ratio could be an integer and get the f(165) = 19 stated in the problem.
Re: Problem 418
Posted: Fri Nov 10, 2023 4:38 am
by Waldovski
I have a question that is hopefully cryptic enough (feel free to delete if not).
Are opt. packages (IP, say) in the spirit of PE? I kind of let LP slide sometimes but IP feels like a step too far.
Re: Problem 418
Posted: Sat Nov 11, 2023 12:09 pm
by RobertStanforth
The spirit of PE is about learning the theory and tools to solve problems.
Whether higher level tools such as Integer Programming fall within that depends on your own goals. Learning about IP, and modelling
Problem 418 (
View Problem) as an IP problem, can be a challenge and an accomplishment in themselves. However, if it feels to you like cheating somehow, then do set yourself the goal of solving using vanilla programming methods.
Many PE members use Mathematica, which also provides a wealth of higher-level tools. This is valid and legitimate. However, all problems can be solved in "conventional" programming languages.
Waldovski wrote: Fri Nov 10, 2023 4:38 am
I have a question that is hopefully cryptic enough (feel free to delete if not).
Are opt. packages (IP, say) in the spirit of PE? I kind of let LP slide sometimes but IP feels like a step too far.