[中譯] Puzzleup 2014 (5) Neighboring Digits

作者: LPH66 (-6.2598534e+18f)   2014-08-29 16:49:03
題目網址: http://www.puzzleup.com/2014/
http://www.puzzleup.com/2014/puzzle/?246
答題時限: 8月28日7PM-比賽結束(約12月17日)
加分時限: 8月28日7PM-9月3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)  
◆Neighboring Digits
What is the greatest number in which all the digits, except the first and the
last digit, are smaller than the geometric mean of its neighbors? (Neighbors
of a digit are the digits to the immediate left and right of that digit)
For this problem, the geometric mean of two numbers (including zero) is the
square root of the product of those two numbers.
試問符合以下條件的最大數為何:
此數的所有位數,除了首位及末位外,皆小於其鄰居的幾何平均。
(某位數的鄰居即為其左鄰及右鄰的數位)
在此問題中,兩數(包含零)的幾何平均定義為此兩數乘積的平方根。

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