Puzzleup 2018 (19) CLOSED AREAS - 拼圖

題目網址: http://www.puzzleup.com/2018/
http://www.puzzleup.com/2018/puzzle/?19
答題時限: １２月6日７ＰＭ－比賽結束（約12月19日）
加分時限: １２月6日７ＰＭ－１２月12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）　　

◆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。
．被點亮的節段會構成一個以上的封閉區塊。
．每個被點亮的節段都會是封閉區塊的周邊。

問能構成多少種不同的圖形？

舉例來說，由7個節段所構成的1x2數位燈號，答案會是4種。

正方形區塊2種，雙正方形區塊1種，長方形區塊1種。

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