題目網址: https://www.puzzleup.com/2020/
https://www.puzzleup.com/2020/puzzle/?7
答題時限: 12月17日7PM-比賽結束(約12月30日)
加分時限: 12月17日7PM-12月22日6:59PM
答對可得基本分100分。答案可上傳5次,每改1次答案從基本分扣20分。
比賽期間內可隨時上傳答案,加分時限內答對第n天加(6-n)分
另依題目的難易有額外加分(如有80%的人這題答錯,答對者加80分)
◆COUNTERFEIT COINS
There are 16 coins, 3 of which are slightly heavier or lighter than the
others. The counterfeit coins have the same weight but it is not known
whether they are heavier or lighter than the genuine ones.
Using a balance scale, what is the minimum number of weighings in order to
determine whether the counterfeit coins are heavier or lighter?
Notes:
-All the coins look identical.
-The genuine coins have the same weight.
-You can compare any number of coins on the balance scale.
這裡有 16 個硬幣,其中三個是假幣;
三個假幣的重量都相等但和真幣不同,而且假幣究竟比真幣重或輕也未知。
試問使用天平,要確定假幣究竟比真幣重或輕最少需要幾次稱重?
注意:
- 所有硬幣外觀都相同。
- 真幣的重量也都相等。
- 天平上可以放上任意枚硬幣比較。
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應該是個滿標準的秤硬幣題