Uncover the Numbers (Logic) --ZT from WXC

野菜花 · 发表于 2005-11-9 04:11:27

By commentate

Arthur and Bert each writes down a positive integer on a piece of paper and then shows it to Charles. Charles then writes two numbers on a blackboard, visible to Arthur and Bert: one of them is the sum of Arthur's and Bert's numbers, and the other is a random number.
After this Charles asks Arthur if he knows Bert's number. If Arthur says he doesn't know, then he asks Bert if he knows Arthur's number. If Bert says he doesn't know, Charles continues with Arthur, then if necessary with Bert and so on... until he gets a positive answer.

When will Charles get a positive answer?

husonghu · 发表于 2005-11-9 04:29:27

谢谢菜花ZT好题

也感谢原贴者commentate

QL · 发表于 2005-11-9 16:02:27

I haven't count very carefully yet, but it seems to be at most [min(a,b)/(2*|a-b|)]+1, where a,b are the two numbers shown on the board.

野菜花 · 发表于 2005-11-9 18:04:55

It is not exactly same as mine, but similar. Could you explain your logic?

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Uncover the Numbers (Logic) --ZT from WXC

谢谢菜花ZT好题[@};-][@};-] 也感谢原贴者commentate[@};-][@};-]

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