"For N = 7 we find there are 9780 such sets. How many are there for N = 30 ?"
Does case N=30 include all those 9780 of case N=7 ?
If I ask "someone please send me a private message to confirm the number of sets in case N=16"
will it violate forum rules?
Problem 376
Forum rules
As your posts will be visible to the general public you are requested to be thoughtful in not posting anything that might explicitly give away how to solve a particular problem.
This forum is NOT meant to discuss solution methods for a problem.
See also the topics:
Don't post any spoilers
Comments, questions and clarifications about PE problems.
As your posts will be visible to the general public you are requested to be thoughtful in not posting anything that might explicitly give away how to solve a particular problem.
This forum is NOT meant to discuss solution methods for a problem.
In particular don't post any code fragments or results.
Don't start begging others to give partial answers to problems
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Don't start a new topic for a problem if there already exists one
Don't start begging others to give partial answers to problems
Don't ask for hints how to solve a problem
Don't start a new topic for a problem if there already exists one
See also the topics:
Don't post any spoilers
Comments, questions and clarifications about PE problems.
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sivakd
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Re: problem 376 clarification
Yes, N = 30 includes cases for N < 30.
I think it probably won't violate the rules if that's what you wish but I would say you at least wait till the first 50 are complete before asking for confirmation via pm. Also, frankly if you know how to solve for N = 7 then it's just a matter of figuring out how to solve it efficiently for 30 and the result for 16 should not matter. I also usually have a bruit-force version for almost all problems to understand the problem and to debug. If you write such a program, you can easily go up to N = 10 to 13 before it becomes very slow. But that should confirm the values for your fast algorithm.
I think it probably won't violate the rules if that's what you wish but I would say you at least wait till the first 50 are complete before asking for confirmation via pm. Also, frankly if you know how to solve for N = 7 then it's just a matter of figuring out how to solve it efficiently for 30 and the result for 16 should not matter. I also usually have a bruit-force version for almost all problems to understand the problem and to debug. If you write such a program, you can easily go up to N = 10 to 13 before it becomes very slow. But that should confirm the values for your fast algorithm.

puzzle is a euphemism for lack of clarity