題目網址: http://www.puzzleup.com/2019/
http://www.puzzleup.com/2019/puzzle/?20
答題時限: 12月5日7PM-比賽結束
加分時限: 12月5日7PM-12月11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)
◆WEIGHING SET
You will specify three weights to form a weighing set and you will take
three of each weight. Your aim is to weigh all the integer weights from
1 to N using these nine weights in a two-tier balance scale.
What is the maximum number of N?
Notes:
‧ You can put weights on both sides of the scale.
‧ Each integer weight you weigh should be in balance.
為了構成測量用的組合,你要給定三個重量,然後將每個重量的砝碼各取三顆。
目標是用雙頭天平加上這九顆砝碼去量測1到N的所有整數重量出來。
問N的最大值為?
註:
.天平兩端皆可放砝碼。
.每個可以量測的整數重量都要衡平。