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Games that challenge the player with critical thinking to solve levels. 

Games in which the player shoots things to progress, usually with a variety of guns, and other times with bows and arrows.

Typically refers to a style of game where a player's ship can rotate 360 degrees on a 2d plane and is responsible for shooting and destroying on coming asteroids. The asteroids start out large, but divide into smaller obstacles as they are damaged. The game becomes more difficult and chaotic as asteroids are broken into the smaller pieces.