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HDOJ-1007 Quoit Design(最接近点问题)

2016-03-27 16:10 295 查看
#include <iostream>
#include <algorithm>
#include <cstring>
#include <cmath>
#include <vector>
#include <cstdio>

using namespace std;

#define maxn 100005
#define INF 1e20
struct Point{
double x, y;
}p[maxn];
bool cmp(const Point &a, const Point &b){
return a.x < b.x;
}
bool temp(int i, int j){
return p[i].y < p[j].y;
}
double Cal(int i, int j){
return sqrt((p[i].x - p[j].x) * (p[i].x - p[j].x) +
(p[i].y - p[j].y) * (p[i].y - p[j].y));
}
double Closed(int l, int r){

if(l == r)
return INF;
if(l == r-1)
return Cal(l, r);

int mid = (l + r) >> 1;
double d = min(Closed(l, mid), Closed(mid+1, r));
vector<int> v;
for(int i = l; i <= r; i++)
if(fabs(p[i].x - p[mid].x) < d)
v.push_back(i);

sort(v.begin(), v.end(), temp);
for(int i = 0; i < v.size(); i++)
for(int j = i+1; j < v.size() && fabs(p[v[i]].y-p[v[j]].y) < d; j++)
d = min(d, Cal(v[i], v[j]));

return d;
}
int main(){

//  freopen("in.txt", "r", stdin);
int n;

while(cin >> n && n){

for(int i = 0; i < n; i++){
scanf("%lf%lf", &p[i].x, &p[i].y);
}
sort(p, p+n, cmp);
printf("%.2f\n", Closed(0, n-1)/2.0);
}

return 0;
}
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