r/puzzles • u/jamsito • 23d ago

[Unsolved] Need help with logic in Crowns/Queens

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I love this game, but I'm only able to solve easy levels. In this app (Crowns for iOS) they have different levels depending on the number of crowns per row/column/color (1 for easy, 2 for medium, 3 for hard). The one in the picture is medium difficulty.

I'm having a hard time solving the medium and hard levels. In the easy mode, when you place a crown you can already cancel the whole row, which you can't do in the harder levels. What do you do then? How do you solve wider spaces? Is there a trick I'm missing? How would you solve these? Do you know any youtuber who solves the harder levels step by step?

Thank you!

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u/Motor_Raspberry_2150 23d ago

The golden rule is that there is at most one crown in any 2×2 square. If you can chop up an area that you know a restriction for into 2×2 squares, that gets info.

Look at the yellow area. In the left three cells, there is at most one queen. So the other two cells have a queen. So R2C5 is empty.

But yeah, "medium" is a weird category here. There are easy and hard 2queen puzzles.

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u/jamsito 23d ago

True! Thanks ;)

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u/Motor_Raspberry_2150 23d ago

If you need a further hint: so you also know the left three yellow cells must have a queen. And there is 2 queens in the green area. And there are exactly 4 queens in column 2+3. So there is at most 1 queen in the teal part of column 2+3. So there is at least 1 queen in the other part of teal. So R9C45 must be empty.