bitmap求哈密顿距离-给定N(1<=N<=100000)个五维的点A(x1,x2,x3,x4,x5),求两个点X(x1,x2,x3,x4,x5)和Y( - 代码物语-Let code talk - ITeye技术网站


bitmap求哈密顿距离-给定N(1<=N<=100000)个五维的点A(x1,x2,x3,x4,x5),求两个点X(x1,x2,x3,x4,x5)和Y( - 代码物语-Let code talk - ITeye技术网站

  • 给定N(1<=N<=100000)个五维的点A(x1,x2,x3,x4,x5),求两个点X(x1,x2,x3,x4,x5)和Y(y1,y2,y3,y4,y5), 
  •  * 使得他们的哈密顿距离(d=|x1-y1| + |x2-y2| + |x3-y3| + |x4-y4| + |x5-y5|)最大。|x|=abs(x)。 
  •  *  
  •  * 第一种方法当然是暴力遍历一次,求得最大值 
  •  * 第二种方法借助bitmap 
  •  * 在网上找了两个相关的资料: 
  •  * http://www.cppblog.com/sonicmisora/archive/2009/09/14/96143.aspx 
  •  * http://wenku.baidu.com/view/1e51750abb68a98271fefaa8.html 
  •  *  
  •  * 我觉得这两个资料都不好理解 
  •  * 我的理解如下: 
  •  * 1. 
  •  * 这道题目里面,使用bitmap的关键是这个: 
  •  * 先看二维的点,我们约定形如Xij下标的数字(ij)是二进制,0表示正数,1表示负数,令 
  •  * X00=   x1 + x2 
  •  * X01=   x1 - x2 
  •  * X10= - x1 + x2 
  •  * X11= - x1 - x2 
  •  * 用一个一维数组a保存这四个值,即a[0]=X00,a[1]=X01,a[2]=X10,a[3]=X11 
  •  * 有N个点,那么就有二维数组:A[N][S],(S=00,01,10,11) 

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