Online JudgeProblem SetAuthorsOnline ContestsUser
Web Board
Home Page
F.A.Qs
Statistical Charts
Problems
Submit Problem
Online Status
Prob.ID:
Register
Update your info
Authors ranklist
Current Contest
Past Contests
Scheduled Contests
Award Contest
User ID:
Password:
  Register

Re:大牛们是如何想出构造的??偶至今还没有想明白呀!!!!!

Posted by nuciedh at 2007-06-18 23:48:28 on Problem 3239
In Reply To:大牛们是如何想出构造的??偶至今还没有想明白呀!!!!! Posted by:ecjtubaowp at 2007-06-18 22:50:37
一、当n mod 6 != 2 或 n mod 6 != 3时,有一个解为:

2,4,6,8,...,n,1,3,5,7,...,n-1       (n为偶数)

2,4,6,8,...,n-1,1,3,5,7,...,n       (n为奇数)

(上面序列第i个数为ai,表示在第i行ai列放一个皇后;... 省略的序列中,相邻两数以2递增。下同)

二、当n mod 6 == 2 或 n mod 6 == 3时,

(当n为偶数,k=n/2;当n为奇数,k=(n-1)/2)

k,k+2,k+4,...,n,2,4,...,k-2,k+3,k+5,...,n-1,1,3,5,...,k+1         (k为偶数,n为偶数)

k,k+2,k+4,...,n-1,2,4,...,k-2,k+3,k+5,...,n-2,1,3,5,...,k+1,n       (k为偶数,n为奇数)

k,k+2,k+4,...,n-1,1,3,5,...,k-2,k+3,...,n,2,4,...,k+1               (k为奇数,n为偶数)

k,k+2,k+4,...,n-2,1,3,5,...,k-2,k+3,...,n-1,2,4,...,k+1,n           (k为奇数,n为奇数)

Followed by:

Post your reply here:
User ID:
Password:
Title:

Content:

Home Page   Go Back  To top


All Rights Reserved 2003-2013 Ying Fuchen,Xu Pengcheng,Xie Di
Any problem, Please Contact Administrator