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  • 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
    ",solve(1,n)/2.0);
        }
        return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/liu-runda/p/11256965.html
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