[中譯] Puzzleup 2018 (19) CLOSED AREAS

作者: buffalobill (水牛比爾)   2018-12-06 09:42:57
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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