Puzzleup 2015 (19) Queens - 拼圖

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題目網址: http://www.puzzleup.com/2015/
http://www.puzzleup.com/2015/puzzle/?19
答題時限: 12月3日7PM-比賽結束
加分時限: 12月3日7PM-12月9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)  

◆QUEENS

In how many ways can white and black queens be placed on a 4x4 chess board,
such that every row and every column has more white queens than black queens?

Note:
- In each square you can place only one queen (white or black) or you can
leave it empty.

在一個 4x4 的棋盤上擺放黑后與白后,使得每行每列白后的數量皆比黑后多,
有幾種擺法?

註:
- 每個格子上或者僅能擺一個皇后 (黑的或白的),或者可以留空。

If the problem was asked for a 3x3 board, then the answer would be 451.

Examples:

若問題改問 3x3 棋盤,則答案為 451。以下為幾例:





--
LPH [acronym]
= Let Program Heal us
-- New Uncyclopedian Dictionary, Minmei Publishing Co.

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