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标题: Average Salary [打印本页]

作者: HF: 时间: 2008-2-24 06:56
标题: Average Salary

Three friends want to know the average of their salaries. But each of them is reluctant to let anyone else to know how much he makes. Is there way to carry out the calculation?

作者: 忽悠接着忽悠 时间: 2008-2-24 08:14
标题: secret vote

secret vote

作者: yinyin's student 时间: 2008-2-24 11:37
标题: 回复：Average Salary

Let A, B, and C be friends. A gives an arbtrarily chosen number, say n, to B concealing from C. B tells the sum of n and own salary to C concealing from A. C adds own salary to the sum and tells the result to A concealing from B. Finally, A adds own salary to the number obtained from C and subtracts n to get the total sum of their salary. One third of the total sum is the average of thier salary. A tells this average to B and C.

作者: idiot94 时间: 2008-2-24 16:43
标题: wow, nice! :)

wow, nice! :)

作者: HF: 时间: 2008-2-24 18:27
标题: [:-Q]

作者: 孜孜不倦@. 时间: 2008-2-24 23:01
标题: [:-Q][:-Q][@};-]

www.ddhw.org---

作者: npt 时间: 2008-2-26 07:22
标题: Similar problem --- Jealous Professors

A group of jealous professors is locked up in a room. There is nothing else in the room but pencils and one tiny scrap of paper per person. The professors want to determine their average (mean, not median) salary so that each one can gloat or grieve over his or her personal situation compared to their peers. However, they are secretive people, and do not want to give away any personal salary information to anyone else. can they determine the average salary in such a way that no professor can discover any fact about the salary of anyone but himself or herself? For example, even facts such as "three people earn more than 40,000" or "no one earns more than 90,000" are not allowed.

作者: idiot94 时间: 2008-2-28 20:46
标题: 偶完蛋了。。。想了半天，还是没有想出来。。。[:((][:((]

恭候答案！！：）

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