PuzzleUp 2010 (18) Three Digits - 拼圖

首頁：http://www.puzzleup.com/2010/
時限：2010/11/11（四）19:00～11/17（三）18:59

答案可上傳５次，但每改１次扣２０分（基本分為１００分）
在比賽期間內可隨時回答，但只有在時限內回答者有額外加分

◆Three Digits

You have a number where any numeral appears at most twice. The sum of all
neighboring three digits in this number is a square number.

What is the maximum possible value for this number?

Example: 74504 is such a number because no numeral appears more than twice
and 7+4+5, 4+5+0 and 5+0+4 are square numbers.

你有個數，每個數字多出現兩次。所有相鄰的三位數的和是平方數。

問此數最大多少？

例如：74504即為符合條件之數，因為每個數字皆沒有出現多於兩次，
且 7+4+5，4+5+0，5+0+4 皆為平方數。

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不算難...紙筆應該能解答

--
'You've sort of made up for it tonight,' said Harry. 'Getting the
sword. Finishing the Horcrux. Saving my life.'
'That makes me sound a lot cooler then I was,' Ron mumbled.
'Stuff like that always sounds cooler then it really was,' said
Harry. 'I've been trying to tell you that for years.'
-- Harry Potter and the Deathly Hollows, P.308

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