Puzzleup 2018 (17) DIGITAL DISPLAY - 拼圖

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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