0h n0

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Discuss strategies, share personal achievements, explain the mathematics, reverse engineer, and compute algorithms for the game 0h n0 made by Q42.

The rules of the game are very simple:

Blue dots can see others in their own row and column.
They see at least one.
Their numbers tell how many.
Red dots block their view.

The game can be played at https://0hn0.com, Google Play, or on the Apple App Store.

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tuna@discuss.tchncs.de

Explaining "One specific dot is included in all solutions imaginable" (discuss.tchncs.de)

submitted 3 months ago by tuna@discuss.tchncs.de to c/0hn0@discuss.tchncs.de

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When I first started out, this was a confusing hint. It is saying something specific, but at the same time it feels vague.

It's best to understand this hint with an example.

Let's suppose there exists a 5x7 board, with a 9️⃣ in this position:

⚫️⚫️⚫️⚫️⚫️
⚫️⚫️⚫️⚫️⚫️
⚫️9️⃣⚫️⚫️⚫️
⚫️⚫️⚫️⚫️⚫️
⚫️⚫️⚫️⚫️⚫️
⚫️⚫️⚫️⚫️⚫️
⚫️⚫️⚫️⚫️⚫️

Let's try coming up with valid solutions using trial-and-error, and see if we can spot any patterns:

⚫️🔵⚫️⚫️⚫️
⚫️🔵⚫️⚫️⚫️
🔵9️⃣🔵🔵🔵
⚫️🔵⚫️⚫️⚫️
⚫️🔵⚫️⚫️⚫️
⚫️🔵⚫️⚫️⚫️
⚫️🔴⚫️⚫️⚫️

⚫️🔵⚫️⚫️⚫️
⚫️🔵⚫️⚫️⚫️
🔴9️⃣🔵🔵🔵
⚫️🔵⚫️⚫️⚫️
⚫️🔵⚫️⚫️⚫️
⚫️🔵⚫️⚫️⚫️
⚫️🔵⚫️⚫️⚫️

⚫️🔵⚫️⚫️⚫️
⚫️🔵⚫️⚫️⚫️
🔵9️⃣🔵🔵🔴
⚫️🔵⚫️⚫️⚫️
⚫️🔵⚫️⚫️⚫️
⚫️🔵⚫️⚫️⚫️
⚫️🔵⚫️⚫️⚫️

⚫️🔴⚫️⚫️⚫️
⚫️🔵⚫️⚫️⚫️
🔵9️⃣🔵🔵🔵
⚫️🔵⚫️⚫️⚫️
⚫️🔵⚫️⚫️⚫️
⚫️🔵⚫️⚫️⚫️
⚫️🔵⚫️⚫️⚫️

It seems like no matter how we draw it, we always have blue dots in these positions:

⚫️⚫️⚫️⚫️⚫️
⚫️🔵⚫️⚫️⚫️
⚫️9️⃣🔵🔵⚫️
⚫️🔵⚫️⚫️⚫️
⚫️🔵⚫️⚫️⚫️
⚫️🔵⚫️⚫️⚫️
⚫️⚫️⚫️⚫️⚫️

That's what the hint means :)

There are 2 strategies I know of that can find where the blue dots are without having to exhaustively list all solutions. I'll have to share in future posts!

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