UVAlive3662 Another Minimum Spanning Tree 莫队算法

时间:2024-01-03 19:21:56

就是莫队的模板题

/*
Memory: 0 KB Time: 1663 MS
Language: C++11 4.8.2 Result: Accepted
*/ #include<cstdio>
#include<cstring>
#include<algorithm>
#include<iostream>
#include<cstdlib>
#include<cmath>
using namespace std;
typedef long long LL;
const int INF=0x3f3f3f3f;
const int maxn=;
struct Point
{
int x,y,id;
bool operator<(const Point &e)const
{
if(x==e.x)return y<e.y;
return x<e.x;
}
} point[maxn];
struct Edge
{
int u,v,w;
bool operator<(const Edge &e)const
{
return w<e.w;
}
} edge[maxn*];
int tot;
void addedge(int u,int v,int w)
{
++tot;
edge[tot].u=u;
edge[tot].v=v;
edge[tot].w=w;
}
struct Node
{
int minval,pos;
void init()
{
minval=INF;
pos=-;
}
} node[maxn];
int lowbit(int x)
{
return x&(-x);
}
void update(int i,int val,int pos)
{
while(i>)
{
if(val<node[i].minval)
{
node[i].minval=val;
node[i].pos=pos;
}
i-=lowbit(i);
}
}
int query(int i,int m)
{
int minval=INF,pos=-;
while(i<=m)
{
if(node[i].minval<minval)
{
minval=node[i].minval;
pos=node[i].pos;
}
i+=lowbit(i);
}
return pos;
}
int dis(Point a,Point b)
{
return abs(a.x-b.x)+abs(a.y-b.y);
}
int c[maxn],b[maxn],n;
void build()
{
sort(point+,point+n+);
for(int i=; i<=n; ++i)
b[i]=c[i]=point[i].y-point[i].x;
sort(c+,c++n);
int m=unique(c+,c++n)-(c+);
for(int i=; i<=m; ++i)
node[i].init();
for(int i=n; i>; --i)
{
int pos=lower_bound(c+,c++m,b[i])-c;
int tt=query(pos,m);
if(tt!=-)addedge(point[i].id,point[tt].id,dis(point[i],point[tt]));
update(pos,point[i].x+point[i].y,i);
}
}
int fa[maxn];
int find(int x)
{
if(x==fa[x])return x;
return fa[x]=find(fa[x]);
}
LL solve()
{
sort(edge+,edge++tot);
for(int i=; i<=n; ++i)
fa[i]=i;
int cnt=;
LL mst=;
for(int i=; i<=tot; ++i)
{
int fx=find(edge[i].u);
int fy=find(edge[i].v);
if(fx==fy)continue;
fa[fy]=fx;
mst+=edge[i].w;
cnt++;
if(cnt>=n)break;
}
return mst;
}
int main()
{ int cas=;
while(~scanf("%d",&n),n)
{
tot=;
for(int i=; i<=n; ++i)
scanf("%d%d",&point[i].x,&point[i].y),point[i].id=i;
build();
for(int i=; i<=n; ++i)
point[i].y=-point[i].y;
build();
for(int i=; i<=n; ++i)
point[i].y=-point[i].y,swap(point[i].x,point[i].y);
build();
for(int i=; i<=n; ++i)
point[i].y=-point[i].y;
build();
printf("Case %d: Total Weight = %lld\n",++cas,solve());
}
return ;
}