[中译] Puzzleup 2018 (19) CLOSED AREAS

楼主: buffalobill (水牛比尔)   2018-12-06 09:42:57
题目网址: http://www.puzzleup.com/2018/
http://www.puzzleup.com/2018/puzzle/?19
答题时限: 12月6日7PM-比赛结束(约12月19日)
加分时限: 12月6日7PM-12月12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)  
◆CLOSED AREAS
http://www.puzzleup.com/2018/img/puzzle/2018/19.jpg
http://www.puzzleup.com/2018/img/puzzle/2018/19-1.png
A 2x2 digital display consists of 12 segments. You will create a shape
by turning some of the segments on. Rules:
‧ At least one of the segments will be on.
‧ Turned on segments will create one or more closed area.
‧ Each turned on segment will be on the perimeter of a closed area.
How many different shapes can be created?
For example: for a 1x2 digital display with 7 segments the answer would
be 4.
2 shapes with 1 square, 1 shape with 2 squares and 1 shape with a rectangle.
http://www.puzzleup.com/2018/img/puzzle/2018/19-2.png
有个2x2的数位灯号,由十二个节段构成。你要点亮其中节段以构成图形。规则如下:
.至少要有一个节段是点亮的。
.被点亮的节段会构成一个以上的封闭区块。
.每个被点亮的节段都会是封闭区块的周边。
问能构成多少种不同的图形?
举例来说,由7个节段所构成的1x2数位灯号,答案会是4种。
正方形区块2种,双正方形区块1种,长方形区块1种。

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