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Re:大牛们是如何想出构造的??偶至今还没有想明白呀!!!!!

Posted by alpc55 at 2007-08-29 21:32:16 on Problem 3239
In Reply To: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
> 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)

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