BZOJ2716: [Violet 3]天使玩偶

//Kd Tree
#include<cstdio>
#include<cstdlib>
#include<algorithm>
#include<cstring>
#include<cmath>
#define Nd Node*
#define To for(int i=0;i<2;i++)
#define INF 0x7f7f7f7f
#define MAXN 500000+10
using namespace std;
int D;
struct Node{
    Nd l;Nd r;
    int p[2],mn[2],mx[2];
}s[MAXN];
Nd root;
bool operator < (Node A,Node B){
    return (A.p[D]<B.p[D]);  
}
void upd(Nd A){
    if(A->l)To A->mn[i]=min(A->mn[i],A->l->mn[i]),A->mx[i]=max(A->mx[i],A->l->mx[i]);
    if(A->r)To A->mn[i]=min(A->mn[i],A->r->mn[i]),A->mx[i]=max(A->mx[i],A->r->mx[i]);
}
Nd NewNode(int p[2]){
    Nd ret=new Node;
    To ret->p[i]=ret->mn[i]=ret->mx[i]=p[i];
    ret->l=ret->r=NULL;
    return ret;
}
Nd Build(int L,int R,int d){
    int mid=(L+R)>>1;
    D=d,nth_element(s+L,s+mid,s+R+1);
    Nd ret=NewNode(s[mid].p);
    if(L<mid)ret->l=Build(L,mid-1,d^1);
    if(mid<R)ret->r=Build(mid+1,R,d^1);
    upd(ret);
    return ret;
}
void build(int n){
    root=Build(1,n,0);
}
int ans;
int dis(int p1[2],int p2[2]){
    int ret=0;
    To ret+=abs(p1[i]-p2[i]);
    return ret; 
}
int getdis(Nd A,int p[2]){
    int ret=0;
    To ret+=max(0,A->mn[i]-p[i]);
    To ret+=max(0,p[i]-A->mx[i]);
    return ret; 
}
void Query(Nd A,int p[2]){
    ans=min(ans,dis(A->p,p));
    int dl=INF,dr=INF;
    if(A->l)dl=getdis(A->l,p);
    if(A->r)dr=getdis(A->r,p);
    if(dl<dr){
        if(ans>dl)Query(A->l,p);
        if(ans>dr)Query(A->r,p);
    }
    else{
        if(ans>dr)Query(A->r,p);
        if(ans>dl)Query(A->l,p);
    }
}
int query(int x,int y){
    ans=INF;
    int p[2];p[0]=x,p[1]=y;
    Query(root,p);  
    return ans;
}
void Insert(Nd A,int d,int p[2]){
    if(p[d]<A->p[d]){
        if(A->l){Insert(A->l,d^1,p);}
        else{A->l=NewNode(p);}   
    }
    else{
        if(A->r){Insert(A->r,d^1,p);}
        else{A->r=NewNode(p);}
    }
    upd(A);
}
void insert(int x,int y){
    int p[2];p[0]=x,p[1]=y;
    Insert(root,0,p);   
}
int n,m;
void init(){
    scanf("%d%d",&n,&m);
    for(int i=1;i<=n;i++)scanf("%d%d",&s[i].p[0],&s[i].p[1]);
    build(n);
}
void solve(){
    int opt,x,y;
    while(m--){
        scanf("%d%d%d",&opt,&x,&y);
        if(1==opt)insert(x,y);
        else printf("%d\n",query(x,y));
    }
}
int main()
{
    //freopen("data.in","r",stdin);
    init();
    solve();
    return 0;   
}