Puzzleup 2016 (10) Cube Travel - 拼圖

題目網址: http://www.puzzleup.com/2016/
http://www.puzzleup.com/2016/puzzle/?10
答題時限: ９月29日７ＰＭ－比賽結束（約12月14日）
加分時限: ９月29日７ＰＭ－10月４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）　　

◆CUBE TRAVEL

http://www.puzzleup.com/2016/img/puzzle/2016/10.jpg

You will make a travel through the edges of two cubes connected by their
vertices as shown in the figure.

- You will start on A, and finish on B.
- You can visit the vertices more than once except the finishing vertex B.
- You can't pass through the edges more than once.

In how many different ways can this travel be done?

Note: Two travels having same edges in different order will be considered as
different.

你將從上圖這兩個立方體在一個頂點相接的圖形的邊上進行移動。

- 路線從 A 開始，到 B 結束。
- 除了 B 之外的任一頂點皆可以經過多於一次。
- 任一條邊不能經過多於一次。

試問如此的移動有多少種不同的走法？

注意: 兩個走法若僅是經過的邊順序不同依然視為不同走法。

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是的, 2015 Q9 幾乎一字不改只改圖形...

然後我現在才發現我 2015 Q9 整個解錯題意 (死) (雖然後來那題不算分了但...

--
'Oh, Harry, don't you see?' Hermione breathed. 'If she could have done
one thing to make absolutely sure that every single person in this school
will read your interview, it was banning it!'
---'Harry Potter and the order of the phoenix', P513

--