hdu 2966 In case of failure ( kd-tree(只有查询) 模板题)
题目链接:hdu2966
题意:
给出二维平面上n(1E5)个点,问对于每个点,其他距离其最近的点的距离是多少。
思路:
kd-tree 裸题。
/* ***********************************************
Author :111qqz
Created Time :2017年10月08日 星期日 18时43分38秒
File Name :2996.cpp
************************************************ */
1#include <cstdio>
2#include <cstring>
3#include <iostream>
4#include <algorithm>
5#include <vector>
6#include <queue>
7#include <set>
8#include <map>
9#include <string>
10#include <cmath>
11#include <cstdlib>
12#include <ctime>
13#define PB push_back
14#define fst first
15#define sec second
16#define lson l,m,rt<<1
17#define rson m+1,r,rt<<1|1
18#define ms(a,x) memset(a,x,sizeof(a))
19typedef long long LL;
20#define pi pair < int ,int >
21#define MP make_pair
1using namespace std;
2const double eps = 1E-8;
3const int dx4[4]={1,0,0,-1};
4const int dy4[4]={0,-1,1,0};
5const int inf = 0x3f3f3f3f;
6const int N=1E5+7;
7int n;
8struct Point
9{
10 LL x,y;
11}p[N],p2[N]; //复制一份,因为nth_element的时候会把顺序打乱。
12bool dv[N]; //划分方式
13bool cmpx( const Point & p1, const Point &p2)
14{
15 return p1.x<p2.x;
16}
17bool cmpy(const Point &p1 ,const Point &p2)
18{
19 return p1.y<p2.y;
20}
21LL getDis( Point a, Point b)
22{
23 return (a.x-b.x)*(a.x-b.x) + (a.y-b.y)*(a.y-b.y);
24}
25void build ( int l,int r)
26{
27 if (l>r) return;
28 int mid = (l+r) >> 1;
29 int minx = min_element(p+l,p+r,cmpx)->x;
30 int miny = min_element(p+l,p+r,cmpy)->y;
31 int maxx = max_element(p+l,p+r,cmpx)->x;
32 int maxy = max_element(p+l,p+r,cmpy)->y;
33 dv[mid] = maxx-minx >= maxy-miny;
34 nth_element(p+l,p+mid,p+r+1,dv[mid]?cmpx:cmpy);
35 build(l,mid-1);
36 build(mid+1,r);
1}
2LL res;
3void query( int l,int r,Point a)
4{
5 if (l>r) return;
6 int mid = (l+r)>>1;
7 LL dis = getDis(a,p[mid]);
8 //printf("%lld %lld %lld %lld %lld\n",a.x,a.y,p[mid].x,p[mid].y,dis);
9 if (dis>0) res = min(res,dis);//判掉和自己的距离。
10 LL d = dv[mid]?(a.x-p[mid].x):(a.y-p[mid].y);
11 int l1=l,r1=mid-1,l2=mid+1,r2=r;
12 if (d>0) swap(l1,l2),swap(r1,r2);
13 query(l1,r1,a); //左儿子
14 if (d*d<res) query(l2,r2,a);//如果与分界线相交,则也要查询右儿子。
15}
1int main()
2{
3 #ifndef ONLINE_JUDGE
4 freopen("./in.txt","r",stdin);
5 #endif
6 int T;
7 cin>>T;
8 while (T--)
9 {
10 scanf("%d",&n);
11 for ( int i = 1 ; i <= n ; i++) {
12 scanf("%lld %lld",&p[i].x,&p[i].y);
13 p2[i] = p[i];
14 }
15 build (1,n);
16 for ( int i = 1 ; i <= n ; i++)
17 {
18 res = 1LL<<60;
19 query(1,n,p2[i]);
20 printf("%lld\n",res);
21 }
1 }
2 #ifndef ONLINE_JUDGE
3 fclose(stdin);
4 #endif
5 return 0;
6}