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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.

Games where multiple players work together against AI opponents or the game itself.

Focused on imparting a skill, lesson, or piece of information to its player that would be helpful to them in other aspects of life, such as a faster typing ability or knowledge about a period in history.