Above is an illustration of a gear system. The circles represent gears and the edges imply that the two gear are connected. Can the gear system work?
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This is the only rule that all gear should follow in order for the system to function. Consider the image below,
gear system
Red and blue indicates two different direction of rotation. Since there are no two neighboring gears share the same color, all of them follows the rule! Hence we conclude that the gear system can work.