[BJWC 2011]元素

题目大意:

你有n个二元组(x,y),要求从中任取几个,使得x的值亦或起来不为0,且y之和最大。

题解:

显然是以x来构造线性基的,然而加入元素的个数是有限制的,那当然就是大的先来喽,排个序就OK啦!

代码:

#include <bits/stdc++.h>
#define ll long long
using namespace std;
ll n,ans,b[65];
struct point{
    ll x,y;
} a[10005];
bool cmp(point a,point b){
    return a.y>b.y;
}
void insert(ll x,ll y){
    for (int i=63;i>=0;i--)
        if (x>>i)
            if (b[i]) x^=b[i]; 
            else {b[i]=x,ans+=y; break;}
}
int main(){
    scanf("%lld",&n);
    for (int i=1;i<=n;i++)
        scanf("%lld%lld",&a[i].x,&a[i].y);
    sort(a+1,a+1+n,cmp);
    for (int i=1;i<=n;i++) insert(a[i].x,a[i].y);
    printf("%lld
",ans);
    return 0;
}
原文地址:https://www.cnblogs.com/WR-Eternity/p/10273907.html