Author Topic: Most Discarded Tiles  (Read 2728 times)

Offline JT Atomico

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Re: Most Discarded Tiles
« Reply #15 on: November 03, 2017, 02:16:06 AM »
Mr Numbers, does your double counting mean that you only discarded 50?

I think I have a game which discards 53, but I’ll have to play it through once more…
« Last Edit: November 03, 2017, 02:26:20 AM by JT Atomico »

Offline MrNumbers

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Re: Most Discarded Tiles
« Reply #16 on: November 03, 2017, 02:38:49 AM »
Mr Numbers, does your double counting mean that you only discarded 50?

I think I have a game which discards 53, but I’ll have to play it through once more…
Yes, I discarded only 50. But I reconstructed this only theoretically, on paper, so after I will try it with actual tiles, maybe I could find some other, better solution.
"I never lose. Either I win or I learn." (Nelson Mandela)

Offline JT Atomico

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Re: Most Discarded Tiles
« Reply #17 on: November 03, 2017, 03:05:51 AM »
Here is my 53 discard game: https://imgur.com/a/ceVYP

I think it's very possible that this can be improved upon, so a bit of tinkering is still in order!

Great puzzle, Dan! Thanks. :D

Offline MrNumbers

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Re: Most Discarded Tiles
« Reply #18 on: November 03, 2017, 04:12:07 AM »
Your method is a little bit different, and I am not sure it corresponds to the rules of the quiz: when it is time for discard - you keep some tiles, which could be discarded on current step. On the other hand, the main question is "how many tiles could be discarded in a game", without specifying the details of discarding :)
« Last Edit: November 03, 2017, 05:12:14 AM by MrNumbers »

Offline JT Atomico

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Re: Most Discarded Tiles
« Reply #19 on: November 03, 2017, 04:54:46 AM »
Your method is a little bit different, and I am not sure it corresponds to the rules of the quiz: when it is time for discard - you keep some tiles, which could be discarded on current step.

Dan's question was just:

So with this thinking in mind, what's the maximum number of tiles that could be discarded in a basic game?

So I think my method is valid, since the tiles could be drawn in that order. :)

Offline ny1050220

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Re: Most Discarded Tiles
« Reply #20 on: November 03, 2017, 07:55:19 AM »
Here is me summarizing previous posts (aka literature review ::) ):
MrNumbers selects a certain tile from the entire pool at each step, places it strategically, and discards all the tiles that would be discarded if they were randomly drawn at next step.
JT Atomico arranges the tiles into a certain order (aka gives a permutation of the tiles), draws tiles sequentially, places the tiles where he wants to, and continues as per normal game play (discards a tile when it can't be placed).
It seems that we have two problems to solve now.


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