[中譯] Puzzleup 2018 (17) DIGITAL DISPLAY

作者: buffalobill (水牛比爾)   2018-11-22 09:38:20
題目網址: http://www.puzzleup.com/2018/
http://www.puzzleup.com/2018/puzzle/?17
答題時限: 11月22日7PM-比賽結束(約12月12日)
加分時限: 11月22日7PM-11月28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)  
◆DIGITAL DISPLAY
http://www.puzzleup.com/2018/img/puzzle/2018/17.jpg
http://www.puzzleup.com/2018/img/puzzle/2018/17-1.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.
‧ When multiple segments are on, those segments will form a connected
shape.
How many different shapes can be created?
For example, for a square-shaped display with 4 segments, the answer
would be 13.
1 shape with all segments on; 4 shapes for one, two or three turned on
segments each.
http://www.puzzleup.com/2018/img/puzzle/2018/17-2.png
有個2x2的數位燈號,由十二個節段構成。你要點亮其中節段以構成圖形。規則如下:
.至少要有一個節段是點亮的。
.如果有複數節段被點亮,則這些節段會是聯通的。
問能構成多少種不同的圖形?
舉例來說,四個節段所構成的正方形燈號,答案會是13種。
全節段亮起1種;一節段4種;二節段與三節段亦同。

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