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

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.

A game that has some of or all of the mechanics: Limited interaction or the ability to be played without interaction, rapid growth - often exponential, prestige mechanic(s), An end goal/mission or a general goal of getting a higher amount of currency, and a system of buying and upgrading buildings, units, or similar.