hdu1007 Quoit Design
平面最近点对板子, 一个有趣的分治
还挺好写的...
#include <cstdio>
#include <cmath>
#include <vector>
#include <algorithm>
using namespace std;
const int maxn=100005;
typedef pair<double, double> pd;
pd A[maxn];
pd B[maxn];
pd C1[maxn],C2[maxn];
double sqr(double x){return x*x;}
double dis(pd a, pd b){
return sqrt(sqr(a.first-b.first)+sqr(a.second-b.second));
}
double solve(int l, int r){
if(l==r)return 1e20;
int mid=(l+r)/2;
double midx=(A[mid].first+A[mid+1].first)/2;
double a1=solve(l,mid);
double a2=solve(mid+1,r);
double ans=min(a1,a2);
int k1=0,k2=0;
for(int i=l;i<=mid;++i){
if(A[i].first+ans>=midx)C1[++k1]=A[i];
}
for(int i=mid+1;i<=r;++i){
if(A[i].first-ans<=midx)C2[++k2]=A[i];
}
for(int i=1,L=1,R=0;i<=k1;++i){
while(R<k2&&C1[i].second+ans>=C2[R+1].second)++R;
while(L<=k2&&C1[i].second-ans>C2[L].second)++L;
for(int j=L;j<=R;++j){
ans = min(ans, dis(C1[i],C2[j]));
}
}
for(int i=l,j=mid+1;i<=mid||j<=r;(j>r||(i<=mid&&A[i].second<=A[j].second))?(i++):(j++)){
B[i+j-mid-1]=(j>r||(i<=mid&&A[i].second<=A[j].second))?(A[i]):(A[j]);
}
for(int i=l;i<=r;++i)A[i]=B[i];
return ans;
}
int main(){
int n;
while(scanf("%d",&n),n!=0){
for(int i=1;i<=n;++i){
scanf("%lf%lf",&A[i].first,&A[i].second);
}
sort(A+1,A+n+1);
printf("%.2f\n",solve(1,n)/2.0);
}
return 0;
}