BZOJ 2238: Mst DFS序+KDtree
明明可以用二维数点来做啊,网上为什么都是树剖+线段树呢 ?
code:
#include <cstdio>
#include <cstring>
#include <algorithm>
#define N 100006
#define inf 1000000
#define ll long long
#define IO(s) freopen(s".in","r",stdin),freopen(s".out","w",stdout)
using namespace std;
namespace KD {
int d;
struct node {
int ch[2],p[2],mn[2],mx[2],Min,val;
}t[N];
bool cmp(node a,node b)
{
return a.p[d]==b.p[d]?a.p[d^1]<b.p[d^1]:a.p[d]<b.p[d];
}
int isin(int x1,int y1,int x2,int y2,int x)
{
if(t[x].mn[0]>=x1&&t[x].mx[0]<=y1&&t[x].mn[1]>=x2&&t[x].mx[1]<=y2)
return 1;
return 0;
}
int isout(int x1,int y1,int x2,int y2,int x)
{
if(x1>t[x].mx[0]||y1<t[x].mn[0]||x2>t[x].mx[1]||y2<t[x].mn[1])
return 1;
return 0;
}
void pushup(int x,int y)
{
for(int i=0;i<2;++i)
{
t[x].mn[i]=min(t[x].mn[i],t[y].mn[i]);
t[x].mx[i]=max(t[x].mx[i],t[y].mx[i]);
}
t[x].Min=min(t[x].Min,t[y].Min);
}
int build(int l,int r,int o)
{
d=o;
int mid=(l+r)>>1;
nth_element(t+l,t+mid,t+1+r,cmp);
t[mid].mn[0]=t[mid].mx[0]=t[mid].p[0];
t[mid].mn[1]=t[mid].mx[1]=t[mid].p[1];
t[mid].Min=t[mid].val;
if(mid>l)
{
t[mid].ch[0]=build(l,mid-1,o^1);
pushup(mid,t[mid].ch[0]);
}
if(r>mid)
{
t[mid].ch[1]=build(mid+1,r,o^1);
pushup(mid,t[mid].ch[1]);
}
return mid;
}
int query(int x1,int y1,int x2,int y2,int x)
{
if(isout(x1,y1,x2,y2,x)) return inf;
if(isin(x1,y1,x2,y2,x)) return t[x].Min;
int re=inf;
if(t[x].p[0]>=x1&&t[x].p[0]<=y1&&t[x].p[1]>=x2&&t[x].p[1]<=y2)
{
re=min(re,t[x].val);
}
if(t[x].ch[0]) re=min(re,query(x1,y1,x2,y2,t[x].ch[0]));
if(t[x].ch[1]) re=min(re,query(x1,y1,x2,y2,t[x].ch[1]));
return re;
}
};
namespace T {
int p[N];
void init(int x)
{
for(int i=1;i<=x;++i) p[i]=i;
}
int find(int x)
{
return p[x]==x?x:p[x]=find(p[x]);
}
int merge(int x,int y)
{
x=find(x),y=find(y);
if(x!=y)
{
p[x]=y;
return 1;
}
else return 0;
}
};
struct Edge {
int x,y,c,id;
Edge(int x=0,int y=0,int c=0,int id=0):x(x),y(y),c(c),id(id){}
bool operator<(Edge a) const { return c<a.c; }
}e[N];
int n,m,edges,dfn;
int hd[N],to[N<<1],nex[N<<1],val[N<<1],mk[N],fa[N],st[N],ed[N],go[N];
void add(int u,int v,int c)
{
nex[++edges]=hd[u],hd[u]=edges,to[edges]=v,val[edges]=c;
}
void dfs(int u,int ff)
{
fa[u]=ff;
st[u]=++dfn;
for(int i=hd[u];i;i=nex[i])
{
int v=to[i];
if(v==ff) continue;
dfs(v,u);
}
ed[u]=dfn;
}
int main()
{
// IO("input");
int i,j;
scanf("%d%d",&n,&m);
for(i=1;i<=m;++i)
{
int x,y,z;
scanf("%d%d%d",&x,&y,&z);
e[i]=Edge(x,y,z,i);
}
sort(e+1,e+1+m);
T::init(n);
ll ans=0;
int cn=0,tot=0;
for(i=1;i<=m;++i)
{
if(T::merge(e[i].x,e[i].y))
{
ans+=(ll)e[i].c;
mk[e[i].id]=1,++cn;
add(e[i].x,e[i].y,e[i].c);
add(e[i].y,e[i].x,e[i].c);
}
}
if(cn==n-1) dfs(1,0);
for(i=1;i<=m;++i)
{
go[e[i].id]=i;
if(!mk[e[i].id])
{
int x=e[i].x;
int y=e[i].y;
if(st[x]>st[y]) swap(x,y);
++tot;
KD::t[tot].val=e[i].c;
KD::t[tot].p[0]=st[x];
KD::t[tot].p[1]=st[y];
}
}
int root=KD::build(1,tot,0);
int q;
scanf("%d",&q);
for(i=1;i<=q;++i)
{
int cur;
scanf("%d",&cur);
if(cn<n-1) printf("Not connected\n");
else
{
if(!mk[cur]) printf("%lld\n",ans);
else
{
cur=go[cur];
int x=e[cur].x;
int y=e[cur].y;
if(fa[y]==x) swap(x,y);
int re=inf;
if(st[x]>1)
{
re=min(re,KD::query(1,st[x]-1,st[x],ed[x],root));
}
if(ed[x]<n)
{
re=min(re,KD::query(st[x],ed[x],ed[x]+1,n,root));
}
if(re==inf) printf("Not connected\n");
else printf("%lld\n",ans-e[cur].c+re);
}
}
}
return 0;
}

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