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Forum: Puzzles 2020-06-25, 19:38
Replies: 16
Views: 3,013
Posted By yae9911
PARI/GP confirms x=2^7* 5 * 23 * 127 * 659 *...

PARI/GP confirms
x=2^7* 5 * 23 * 127 * 659 * 53323 * 1876187 * 97544836889 * 665320793909
%111 = 7998766649128898059663516612687535453720960
(21:22) gp > eulerphi(x)
%112 =...
Forum: Puzzles 2020-04-27, 18:31
Replies: 44
Views: 6,635
Posted By yae9911
The optimum result of 70.007... for 10 days and 8...

The optimum result of 70.007... for 10 days and 8 nodes corresponds to only one unlabeled connected graph. There are several ways to chose the root node in this graph all leading to the same...
Forum: Puzzles 2020-02-22, 11:59
Replies: 20
Views: 8,373
Posted By yae9911
There are much better methods than random search....

There are much better methods than random search. You can e.g. use the available 10 shortcut steps hierarchically. Part of it to roughly set the desired game length (Hint: Use feedback loops with...
Forum: Puzzles 2020-02-11, 21:50
Replies: 20
Views: 8,373
Posted By yae9911
Thanks! :thumbs-up: Well then I don't have...

Thanks! :thumbs-up:

Well then I don't have to worry about it anymore. I got both with the random simulation, with which I can recalculate the original game quite accurately, and with an exact...
Forum: Puzzles 2020-02-11, 20:55
Replies: 20
Views: 8,373
Posted By yae9911
May I ask you for a little help? The article by...

May I ask you for a little help? The article by Althoen, King and Schilling states: The expected playing time for a 100-square game played with a six-sided die (...neither snakes nor ladders), i.e.,...
Forum: Puzzles 2020-01-08, 08:23
Replies: 59
Views: 10,485
Posted By yae9911
Since we are not getting a solution from IBM for...

Since we are not getting a solution from IBM for the time being, we could at least try to find out together what a record solution could have looked like. That would be a little more fun than...
Forum: Puzzles 2019-12-12, 22:31
Replies: 183
Views: 14,919
Posted By yae9911
If someone has such an idea, it is best if he...

If someone has such an idea, it is best if he himself submits this as a proposal for a new sequence. I'm not going to take this job off your hands for now. At best, I can help with the procedure of...
Forum: Puzzles 2019-12-12, 19:16
Replies: 183
Views: 14,919
Posted By yae9911
Hardly almost 9 years have passed, and already...

Hardly almost 9 years have passed, and already the topic comes out again. When I searched for entries of b2 in the OEIS, I came across the sequence A174862, which contained a link to this discussion....
Forum: Puzzles 2019-12-06, 05:45
Replies: 59
Views: 10,485
Posted By yae9911
The behavior of PARI's intnum is not unexpected,...

The behavior of PARI's intnum is not unexpected, because of the discontinuity of derivative of abs(x) at zero. _num_ means numerical integration and unless the method automatically splits the...
Forum: Puzzles 2019-12-04, 21:24
Replies: 59
Views: 10,485
Posted By yae9911
I have noticed the same "problem" for the MSE of...

I have noticed the same "problem" for the MSE of the example function, but I forgot to mention this concern in my submission to the challenge team. If the team continues this new tradition of never...
Forum: Puzzles 2019-12-04, 19:48
Replies: 59
Views: 10,485
Posted By yae9911
December 2019

I'm not here long enough to know whether usually only the same user may open the discussion on the new Ponder This Challenge. The new task is already available on-line at this link:

...
Forum: Puzzles 2019-12-04, 15:27
Replies: 89
Views: 11,116
Posted By yae9911
Once it was clear that the "**" problem had been...

Once it was clear that the "**" problem had been solved, it was planned to give the submitters of record setting solutions an additional "*". Apparently, however, all submitted "**" solutions reached...
Forum: Puzzles 2019-12-04, 15:01
Replies: 89
Views: 11,116
Posted By yae9911
@uau: With the suggestion that Oleg's first...

@uau: With the suggestion that Oleg's first solution was not yet optimal, you are probably right, because I received an E-mail from IBM's puzzlemaster Oded dated Nov 12, 2019, 10:22 AM, in which he...
Forum: sweety439 2019-11-29, 14:39
Replies: 17
Views: 1,709
Posted By yae9911
The cited GitHub repositories don't provide the...

The cited GitHub repositories don't provide the programs to calculate the sets of minimal base-n representations, but the lists themselves are given.

See e.g. for n=8:minimal.8.txt...
Forum: Puzzles 2019-11-28, 18:04
Replies: 89
Views: 11,116
Posted By yae9911
To support the end stage of the challenge a bit,...

To support the end stage of the challenge a bit, it certainly does not hurt to provide some more information. None of this is directly suited to solving the problem, but you can then classify how...
Forum: Puzzles 2019-11-19, 07:57
Replies: 89
Views: 11,116
Posted By yae9911
If your program solves A301371(7) and A301371(8),...

If your program solves A301371(7) and A301371(8), you may also try A085000(7) and A085000(8). For both results, independent confirmations are desirable.
Forum: Puzzles 2019-11-17, 14:05
Replies: 89
Views: 11,116
Posted By yae9911
I am really happy that you have a little fun with...

I am really happy that you have a little fun with the problem. I can give you a simple tip on random exchanges of matrix entries: Instead of just greedily looking for improvements to the...
Forum: Puzzles 2019-11-17, 11:01
Replies: 89
Views: 11,116
Posted By yae9911
Among the examples of structured matrices with...

Among the examples of structured matrices with determinant value 929587995, were there also some that did not have the very special structure of Latin squares? That would be a justification for my...
Forum: Puzzles 2019-11-15, 22:46
Replies: 89
Views: 11,116
Posted By yae9911
To contribute something more substantial than...

To contribute something more substantial than "pseudo-hints": On my aged Windows computer one 9x9 determinant takes ~ 6.2e-7 s, using 8 byte floats and Gauss elimination from LAPACK running on one...
Forum: Puzzles 2019-11-15, 15:39
Replies: 89
Views: 11,116
Posted By yae9911
Well, 9x9 is normally not done with pencil and...

Well, 9x9 is normally not done with pencil and paper. But doable, block-wise. And when talking of the "structure" of a matrix, there are many things to consider. E.g. symmetry, block-structure (think...
Forum: Puzzles 2019-11-14, 23:59
Replies: 89
Views: 11,116
Posted By yae9911
From where do you take the conviction that there...

From where do you take the conviction that there is no shortcut? I do not know if you should call it a shortcut, if someone realizes what I said a few posts above with "Much more promising would be...
Forum: Puzzles 2019-11-14, 21:25
Replies: 89
Views: 11,116
Posted By yae9911
Will earn **:tu:but not * :sad:

Will earn **:tu:but not * :sad:
Forum: Puzzles 2019-11-13, 17:49
Replies: 89
Views: 11,116
Posted By yae9911
It is probably hopeless to deny that I am that...

It is probably hopeless to deny that I am that person. Years ago, we wrote an article about upper bounds of determinants, and in the update to this by Markus Sigg, just the non-Latin determinants...
Forum: Puzzles 2019-11-13, 12:06
Replies: 89
Views: 11,116
Posted By yae9911
The motivation to use this wording was to inhibit...

The motivation to use this wording was to inhibit that someone finds a non-Latin square with exactly the already shown value of the maximum Latin-square determinant. Nobody could give me an answer of...
Forum: Puzzles 2019-11-13, 11:49
Replies: 89
Views: 11,116
Posted By yae9911
Guess why I mentioned OEIS. A309259 excludes both...

Guess why I mentioned OEIS. A309259 excludes both of your reported determinant values being determinants of a Latin square.
Showing results 1 to 25 of 31

 
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