hdu 5536 Chip Factory 字典树+bitset 铜牌题

Posted 2020-08-09 smilesundream

Chip Factory

Time Limit: 18000/9000 MS (Java/Others)    Memory Limit: 262144/262144 K (Java/Others)
Total Submission(s): 1842    Accepted Submission(s): 833

Problem Description

John is a manager of a CPU chip factory, the factory produces lots of chips everyday. To manage large amounts of products, every processor has a serial number. More specifically, the factory produces  chips today, the -th chip produced this day has a serial number .

At the end of the day, he packages all the chips produced this day, and send it to wholesalers. More specially, he writes a checksum number on the package, this checksum is defined as below:

which  are three different integers between  and . And  is symbol of bitwise XOR.

Can you help John calculate the checksum number of today?

 

 

Input

The first line of input contains an integer  indicating the total number of test cases.

The first line of each test case is an integer , indicating the number of chips produced today. The next line has  integers , separated with single space, indicating serial number of each chip.




There are at most  testcases with 

 

 

Output

For each test case, please output an integer indicating the checksum number in a line.

 

 

Sample Input

2 3 1 2 3 3 100 200 300

 

 

Sample Output

6 400

 题意：给你n个整型数(n<=1e3)，现在可以从其中选出s1,s2,s3三个数字，要求求出(s1+s2)^s3的最大值，至多

1e3组测试数据。

#include <cstdio>
#include <iostream>
#include <algorithm>
#include <cstring>
#include <iostream>
#include <cmath>
#include <map>
#include <bitset>
#include <stack>
#include <queue>
#include <vector>
#include <bitset>
#include <set>
#define MM(a,b) memset(a,b,sizeof(a));
#define inf 0x3f3f3f3f
using namespace std;
typedef long long ll;
#define CT continue
#define SC scanf
const int N=1e3+10;

int ch[40*N][3];
int a[N],sz,num[40*N],val[40*N];
bitset<32> v;

void add(int k)
{
   int p=0;
   for(int i=30;i>=0;i--){
      int id=v[i];
      if(ch[p][id]==-1)  ch[p][id]=++sz;
      p=ch[p][id];
      num[p]+=k;
   }
   if(k!=-1) val[p]=v.to_ullong();//返回bitset的值
}

int query()
{
   int p=0;
   for(int i=30;i>=0;i--){
      int id=v[i],ano=ch[p][!id];
      if(ano!=-1&&num[ano]!=0) p=ano;
      else p=ch[p][id];
   }
   return val[p];
}

int main()
{
    int cas,n;
    SC("%d",&cas);
    while(cas--){
        MM(ch,-1);MM(num,0);sz=0;
        SC("%d",&n);
        for(int i=1;i<=n;i++){
            SC("%d",&a[i]);
            v=a[i];
            add(1);
        }

        int ans=0;
        for(int i=1;i<=n;i++){
            v=a[i];add(-1);
            for(int j=i+1;j<=n;j++){
               v=a[j];add(-1);
               v=a[i]+a[j];
               ans=max(ans,(a[i]+a[j])^query());
               v=a[j];add(1);
            }
            v=a[i];add(1);
        }
        printf("%d\n",ans);
    }
    return 0;
}

　错因：刚开始想到的是枚举下s1+s2，然后，，插入s3，，，但是发现根本处理不了重合的情况，，，。。

解答:其实先依次添加元素建好字典树后，，可以n^2的枚举s1+s2，同时在字典树中抹去这两个元素，

这时再插入s3，，每次操作完成后都将s1,s2再添加进去。。