BZOJ3714 PA2014Kuglarz(最小生成树)

  每次询问所获得的可以看做是两个前缀和的异或。我们只要知道任意前缀和的异或就可以得到答案了。并且显然地,如果知道了a和b的异或及a和c的异或,也就知道了b和c的异或。所以一次询问可以看做是在两点间连边,所要求的东西就是最小生成树了。

#include<iostream> 
#include<cstdio>
#include<cmath>
#include<cstdlib>
#include<cstring>
#include<algorithm>
using namespace std;
int read()
{
    int x=0,f=1;char c=getchar();
    while (c<'0'||c>'9') {if (c=='-') f=-1;c=getchar();}
    while (c>='0'&&c<='9') x=(x<<1)+(x<<3)+(c^48),c=getchar();
    return x*f;
}
#define N 2010
int n,fa[N];
long long ans=0;
struct data
{
    int x,y,z;
    bool operator <(const data&a) const
    {
        return z<a.z;
    }
}edge[N*N];
int find(int x){return fa[x]==x?x:fa[x]=find(fa[x]);}
int main()
{
#ifndef ONLINE_JUDGE
    freopen("bzoj3714.in","r",stdin);
    freopen("bzoj3714.out","w",stdout);
    const char LL[]="%I64d\n";
#else
    const char LL[]="%lld\n";
#endif
    n=read();int t=0;
    for (int i=1;i<=n;i++)
        for (int j=i;j<=n;j++)
        t++,edge[t].x=i-1,edge[t].y=j,edge[t].z=read();
    sort(edge+1,edge+t+1);
    for (int i=0;i<=n;i++) fa[i]=i;
    for (int i=1;i<=t;i++)
    if (find(edge[i].x)!=find(edge[i].y)) ans+=edge[i].z,fa[find(edge[i].x)]=find(edge[i].y);
    cout<<ans;
    return 0;
}

 

posted @ 2018-09-29 15:03  Gloid  阅读(110)  评论(0编辑  收藏  举报