Is 20 tokens in one move possible?

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ujtagr
Posts: 2
Joined: 03 September 2023, 12:19

Is 20 tokens in one move possible?

Post by ujtagr »

I was a bit bored today so I decided to try to set up a position where you can go from 0 completed tasks to 20 by placing a single tile. The most I could accomplish was 17:

https://imgur.com/xLs99wA

When you place the yellow 4-tile into the hole in the middle, 17 tasks are completed.
I managed to find several other positions where 17 is doable, mostly by just switching colours. I also found a position where you can complete 18 tasks but that requires a 19th task to be completed a move earlier.

I wonder if anyone can find a 0 -> 20 position or prove such a position is impossible.
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oranjon
Posts: 22
Joined: 26 July 2021, 11:48

Re: Is 20 tokens in one move possible?

Post by oranjon »

I don’t have time to investigate this myself, but I love these kind of problems.

Good luck, and please post back if you find it. :)
ujtagr
Posts: 2
Joined: 03 September 2023, 12:19

Re: Is 20 tokens in one move possible?

Post by ujtagr »

oranjon wrote: 10 February 2024, 21:42 I don’t have time to investigate this myself, but I love these kind of problems.

Good luck, and please post back if you find it. :)
When I have time again, I'm also considering trying to find a position where you use all the tiles in the game and every single task is completed. I'm also really curious whether it's possible. :D
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