作者buffalobill (水牛比尔)
看板puzzle
标题[中译] Puzzleup 2019 (04) ROTATED NUMBER
时间Thu Aug 15 11:41:07 2019
题目网址:
http://www.puzzleup.com/2019/
http://www.puzzleup.com/2019/puzzle/?04
答题时限: 08月15日7PM-比赛结束
加分时限: 08月15日7PM-08月21日6:59PM
答对可得基本分100分。答案可上传5次,每改1次答案从基本分扣20分。
比赛期间内可随时上传答案,加分时限内答对第n天加(6-n)分
另依题目的难易有额外加分(如有80%的人这题答错,答对者加80分)
◆ROTATED NUMBER
The digital digits 0,1,2,5,6,8,9 are also digits when they are rotated
180 degrees (0-->0, 1-->1, 2-->2, 5-->5, 6-->9, 8-->8, 9-->6). Let's
call the numbers that only these digits are used as “Rotated Numbers”.
What is the largest rotated number having all the digits different and
the result is also a rotated number when its rotation is subtracted from
itself?
Example: 9028 is such a number (9028-8206=822).
数位数字0,1,2,5,6,8,9,在旋转180度後仍然是数字(0-->0, 1-->1, 2-->2, 5-->5,
6-->9, 8-->8, 9-->6)。我们将只由上述数字所构成的数称为「旋转数」。
有个每位数字皆不相同的旋转数,减去其旋转後的数仍为旋转数,
问该旋转数最大为何?
范例:9028符合条件 (9028-8206=822)。
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※ 编辑: buffalobill (60.251.148.94 台湾), 08/16/2019 11:17:02