EPISODE · Dec 30, 2016 · 25 MIN
1. 三人分蛋糕问题
from 大老李聊数学(全集)
小时候我们常有这样的经历,如果有一块蛋糕,你要和一个小伙伴分享,大人会说,你们这样分:你们一个先分成两块,然后另一个先挑。这个方法小时候我就觉得十分巧妙。因为分蛋糕的那个会想,如果我分的不一样大,人家先挑的就会拿走那块大的,所以我只有尽量分成两块差不多大的,这样我拿哪块都不会太吃亏。这个方法的巧妙之处就在于自动达到了让双方不能说都非常满意,但至少不会妒忌的程度。 那我们今天要说的话题就是如果三个人分蛋糕的问题。有没有一种三人分蛋糕的方法,也能达到如上两人分蛋糕的效果呢? (专辑封面有一张走刀法的示意图)
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