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How to detect a counterfeit coin? (称球问题)

Suppose there is a pile of coins on a table, which are completely identical in appearance, but you are told that one of the coins is counterfeit. It differs from ...


Counterfeit coins I

There are 10 bags with 100 identical coins in each bag. In all bags but one, each coin weighs 10 grams. However, all the coins in the counterfeit bag weigh ...


The gold bar

You've got someone working for you for seven days and a gold bar to pay them. The gold bar is segmented into seven connected pieces. You must give them a ...


Darting

There are two identical circles on the wall, not overlapped. you throw arrow to the wall, if hit inside any of the circles, you get 1, if outside, you get ...


Box Stacking

You are given a set of n types of rectangular 3-D boxes, where the i^th box has height h(i), width w(i) and depth d(i) (all real numbers). You want to ...