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A circle has 2000 white points. In one move, you may color any two points black if they are symmetric with respect to some line through the center. Can you color all points black?

Unlike standard textbooks that focus on theory, Engel’s book focuses on —the art of problem-solving. It is divided into chapters that teach you how to classify a problem and apply a specific strategy.

Here’s a of the classic problem-solving book Problem-Solving Strategies by Arthur Engel , with a focus on its PDF availability, contents, and utility.

While the book is published by Springer and is a copyrighted text, it is widely available through academic channels.

If you are preparing for Mathematical Olympiads (IMO, USAMO, Putnam) or simply want to level up your algorithmic thinking, this book is widely considered the "bible" of competitive problem solving.