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As announced in the rules, the length of game was determined probabilistically with a .00346 chance of ending with each given more. This parameter was chosen so that the expected median length of a game would be 200 moves.

上面的200是如何计算出来的？谢谢！

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关键词：Determined determine Parameter paramete Expected 求教

Is this a subgame perfect equilibrium? If so, you'd better provide the setting in detail, and maybe solve it by back induction.