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Search: Posts Made By: uau
Forum: Puzzles 2022-11-14, 15:31
Replies: 66
Views: 2,713
Posted By uau
It's not really possible for large n for two...

It's not really possible for large n for two differing digits already - there should only be a finite amount of examples.

If there are a large number n of tests, each with the same probability p...
Forum: Puzzles 2022-11-12, 15:38
Replies: 66
Views: 2,713
Posted By uau
I do not believe there exists a largest such...

I do not believe there exists a largest such prime. There are probably arbitrarily large primes that are all one repeating digit except for a single different one (like 99949999).

An integer...
Forum: Puzzles 2022-08-18, 20:26
Replies: 12
Views: 2,646
Posted By uau
Pretty obviously there are unless you assume the...

Pretty obviously there are unless you assume the bonus question is impossible (and it already has listed solvers) - would have to be an implausibly low constant of proportionality for it to be...
Forum: Puzzles 2022-08-04, 15:45
Replies: 8
Views: 1,144
Posted By uau
That's my point about noticing there's only a...

That's my point about noticing there's only a single square from which you can reach more than two others. It follows that there's only one square where you have more than one choice other than...
Forum: Puzzles 2022-08-04, 02:24
Replies: 8
Views: 1,144
Posted By uau
Why would that matter much? Isn't the key thing...

Why would that matter much? Isn't the key thing to notice that there's only a single square from which you can reach more than two others?
Forum: Puzzles 2022-07-22, 04:06
Replies: 9
Views: 2,011
Posted By uau
Here's the program I used and some notes: ...

Here's the program I used and some notes:

Sizes 2 or 3 mod 4 like 22/23 are actually easier to calculate: for such sizes, the result is just half the total polyomino count (which you can look up...
Forum: Puzzles 2022-06-20, 13:42
Replies: 9
Views: 2,011
Posted By uau
Well my code is faster, but not a totally...

Well my code is faster, but not a totally different approach - still proportional to the overall number of polyominoes. I'll send details in PM.
Forum: Puzzles 2022-06-19, 14:03
Replies: 9
Views: 2,011
Posted By uau
Those values match what I got. There are some...

Those values match what I got. There are some things I'd say about the calculation, but they'd be kind of spoilery, so perhaps better left for private messages or after the month is over.
Forum: Puzzles 2022-06-17, 23:51
Replies: 9
Views: 2,011
Posted By uau
Has anyone here tried to calculate values...

Has anyone here tried to calculate values especially far? I've computed up to 23 (with a fast enough program that calculating the next few values would be realistic if I left it running for a while).
Forum: Puzzles 2022-06-06, 18:33
Replies: 8
Views: 1,486
Posted By uau
Should be 3^2. Some constant times square...

Should be 3^2.

Some constant times square root, not caring to specify what exactly that constant is.
Forum: Puzzles 2022-06-06, 13:55
Replies: 8
Views: 1,486
Posted By uau
If you don't go through all the numbers to check...

If you don't go through all the numbers to check whether it is of the given form, but instead just flip each odd square times a power of two (go flip 1, 1*2, 1*4, ... until you go over the total...
Forum: Puzzles 2022-06-05, 17:50
Replies: 8
Views: 1,486
Posted By uau
Why would you want to divide this into 12 cases?...

Why would you want to divide this into 12 cases? That seems unnecessarily clumsy. If you want to divide it like this, 4 categories is enough (for each combination of the two criteria I gave). Some of...
Forum: Puzzles 2022-06-04, 19:54
Replies: 7
Views: 2,970
Posted By uau
Note that you can permute the order of x_i...

Note that you can permute the order of x_i arbitrarily if you also permute y_i the same way.
Take the example solution given in the problem statement and order the x_i in ascending order:

x =...
Forum: Puzzles 2022-06-04, 18:31
Replies: 8
Views: 1,486
Posted By uau
This is a rather vague description, but I assume...

This is a rather vague description, but I assume you mean changing the lockers divisible by 3 (and not changing starting from locker 1, and then every third from it).

If you always start from the...
Forum: Puzzles 2022-05-02, 16:58
Replies: 9
Views: 1,719
Posted By uau
Even that is slower than necessary - there's a...

Even that is slower than necessary - there's a straightforward O(n2) algorithm.

By the way, the way to present the problem feels slightly weird to me - the introduction about how every size 2n set...
Forum: Puzzles 2022-04-29, 14:11
Replies: 21
Views: 2,589
Posted By uau
Guess I'm too used to using the Python shell only...

Guess I'm too used to using the Python shell only through IPython. In IPython, a line with semicolons will only show the return value from the last statement (and the semicolon-using solutions here...
Forum: Puzzles 2022-04-27, 17:27
Replies: 21
Views: 2,589
Posted By uau
You say that print() is not permitted. Then what...

You say that print() is not permitted. Then what is allowed? If the only allowed thing is to return some object and have Python display it in the default manner, that does not seem to enable the...
Forum: Puzzles 2022-04-04, 03:27
Replies: 7
Views: 2,970
Posted By uau
You're wrong.

You're wrong.
Forum: Puzzles 2022-04-04, 02:20
Replies: 7
Views: 2,970
Posted By uau
Why do you call that "optimal"? It does not meet...

Why do you call that "optimal"? It does not meet the criterion.
Forum: Puzzles 2022-03-22, 00:56
Replies: 21
Views: 4,035
Posted By uau
Official solution has finally been published 3...

Official solution has finally been published 3 weeks into the next month. No analysis though, just a far from optimal answer. Here are the best solutions I found:

68 for the base problem:
98 for...
Forum: Puzzles 2022-03-01, 23:29
Replies: 21
Views: 4,035
Posted By uau
Here's a not-quite-a-solution to the bonus...

Here's a not-quite-a-solution to the bonus problem. This could be considered somewhat of a spoiler to some aspects of the problem, but the month is over even if an official solution hasn't been...
Forum: Puzzles 2022-02-28, 02:40
Replies: 21
Views: 4,035
Posted By uau
Improved to 68 and 100 (well below half the...

Improved to 68 and 100 (well below half the targets now).
Forum: Puzzles 2022-02-27, 20:33
Replies: 21
Views: 4,035
Posted By uau
I've checked them enough that I'm pretty sure.

I've checked them enough that I'm pretty sure.
Forum: Puzzles 2022-02-24, 03:20
Replies: 13
Views: 2,349
Posted By uau
Why do you think so? If you have any collection...

Why do you think so? If you have any collection of cards that includes at least one of each type, then you can make the total of that collection equal an arbitrary value by dropping one card. So...
Forum: Puzzles 2022-02-23, 19:27
Replies: 13
Views: 2,349
Posted By uau
No, it doesn't matter which card the extra is. As...

No, it doesn't matter which card the extra is. As long as there's one of each five types, the sixth can be a duplicate of any other.
Showing results 1 to 25 of 152

 
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