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Search: Posts Made By: Walter
Forum: Puzzles 2022-01-11, 12:58
Replies: 25
Views: 3,274
Posted By Walter
With n = 9, d = 7 I get the following values: ...

With n = 9, d = 7 I get the following values:

min: 117390
max: 194304

And with n = 10, d = 8:

min: 1747537
max: 1772281
Forum: Puzzles 2022-01-10, 07:33
Replies: 25
Views: 3,274
Posted By Walter
Oops. I had hard coded something for the n=7/d=5...

Oops. I had hard coded something for the n=7/d=5 case. After changing this, I am getting the following values:

min: 8265
max: 23209

Anyone else getting those values?
Forum: Puzzles 2022-01-10, 05:38
Replies: 25
Views: 3,274
Posted By Walter
Just to add on to my previous response: the...

Just to add on to my previous response: the number of primes that can be generated with the max and min wheel in my solution corresponds to the same values that Zoozie posted (741 primes for the min...
Forum: Puzzles 2022-01-09, 21:46
Replies: 25
Views: 3,274
Posted By Walter
I can confirm the scores for n = 7 and d = 5. ...

I can confirm the scores for n = 7 and d = 5.

For n = 8 and d = 6, I get the following scores:
max: 19690
min: 6905

Average execution time (using Cython, and only one thread - could be easily...
Forum: Puzzles 2021-06-02, 22:38
Replies: 20
Views: 4,640
Posted By Walter
Interesting case! Would definitely be curious to...

Interesting case! Would definitely be curious to see thoughts on how to handle this kind of situation better. I am not so sure. isn't 9999998 correct matches just as bad as only 2 correct matches in...
Forum: Puzzles 2021-06-02, 21:26
Replies: 20
Views: 4,640
Posted By Walter
Yes, you are completely right. And I realize this...

Yes, you are completely right. And I realize this is a much more intuitive explanation than my attempt :bow:

Think of docplex as a black box. There are plenty of other libraries I could have used:...
Forum: Puzzles 2021-06-02, 21:24
Replies: 20
Views: 4,640
Posted By Walter
Viliam, not sure if you are familiar with linear...

Viliam, not sure if you are familiar with linear programming/ constraint programming, but it might be a bit confusing at first and requires a slightly different way of thinking. This is certainly not...
Forum: Puzzles 2021-06-02, 20:50
Replies: 20
Views: 4,640
Posted By Walter
I like your approach, Viliam. I would be really...

I like your approach, Viliam. I would be really curious to see how it performs in a Monte Carlo simulation, but it isn't as easy to implement as my method.

You can even improve the performance a...
Forum: Puzzles 2021-06-02, 19:50
Replies: 20
Views: 4,640
Posted By Walter
My approach would be to formulate the problem as...

My approach would be to formulate the problem as a 0-1 linear program.

We will have variables $x_{ij} \in \{0,1\}$ which are 1 if letter $i$ matches with envelope $j$ and 0, otherwise.

Clearly,...
Forum: Puzzles 2021-05-05, 17:13
Replies: 17
Views: 4,502
Posted By Walter
Ah, right. That makes perfect sense.

Ah, right. That makes perfect sense.
Forum: Puzzles 2021-05-05, 11:48
Replies: 17
Views: 4,502
Posted By Walter
I believe I have solved the first part of the...

I believe I have solved the first part of the problem. I.e. I have a set of T triplets that satisfy the conditions 1-4.

However, I am a bit confused by the second part:



Should there be a...
Forum: Puzzles 2021-05-02, 18:43
Replies: 17
Views: 4,502
Posted By Walter
Thanks, LaurV. 0scar also kindly explained it to...

Thanks, LaurV. 0scar also kindly explained it to me. This really confused me, but it is clear now.
Forum: Puzzles 2021-05-02, 14:44
Replies: 17
Views: 4,502
Posted By Walter
Ah, you are right. I had missed that F0 = 1....

Ah, you are right. I had missed that F0 = 1. :picard: With that, 2 is indeed correct.

Regarding (1), I am pretty sure it isn't the same either way.

m_k >= a_k, hence a_k mod m_k is either 0 or...
Forum: Puzzles 2021-05-02, 12:30
Replies: 17
Views: 4,502
Posted By Walter
I believe there are some mistakes in the problem...

I believe there are some mistakes in the problem statement, can anyone confirm this?

1.
For every natural number n, we have that for some k, n is equivalent to a_k modulo m_k (i.e. m_k divides...
Forum: Puzzles 2020-09-10, 12:38
Replies: 33
Views: 13,881
Posted By Walter
I have some solutions, but it felt way too easy,...

I have some solutions, but it felt way too easy, so I am pretty sure I am missing something and would like to check my understanding of the problem:

First of all, for the RPS(5) game, is the...
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