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Penalty theory in wall puzzles

Nikoli-style pencil-and-paper logic puzzles, like Sudoku, Yajilin, and many more, have very simple rules. But you can often build puzzles that require thinking in really cool ways, seemingly totally unrelated to what the rules literally say.

Wait, it feels like I've written this intro before...

A Slay the Spire puzzle

You are peacefully going about your day when you are suddenly thrust into the following position in a game of Slay the Spire. What do you do?

Penalty theory in dynasty puzzles

Nikoli-style pencil-and-paper logic puzzles, like Sudoku, Yajilin, and many more, have very simple rules. But you can often build puzzles that require thinking in really cool ways, seemingly totally unrelated to what the rules literally say.