/*
In the name of Allah
made by: Ahmed_Solyman
*/
#include <bits/stdc++.h>
#include <ext/rope>
using namespace std;
using namespace __gnu_cxx;
#pragma GCC optimize("-Ofast")
#pragma GCC optimize("-O1")
//-------------------------------------------------------------//
typedef long long ll;
typedef unsigned long long ull;
#define fast ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define PI acos(-1)
#define lb lower_bound
#define ub upper_bound
#define endl '\n'
#define all(v) v.begin(),v.end()
#define allr(v) v.rbegin(),v.rend()
#define sum_to(n) (n*(n+1))/2
#define pb push_back
#define pf push_front
#define fil(arr,x) memset(arr,x,sizeof(arr))
const ll mod=1e9+7;
int dx[8]={0,1,0,-1,1,1,-1,-1};
int dy[8]={1,0,-1,0,1,-1,-1,1};
//-------------------------------------------------------------//
ll lcm(ll a,ll b)
{
return (max(a,b)/__gcd(a,b))*min(a,b);
}
void person_bool(bool x)
{
cout<<(x?"YES":"NO")<<endl;
}
struct DSU{
vector<int>P,sz;
void init(int n){
P.resize(n+5);
sz.assign(n+5,1);
for(int i=0;i<n+5;i++)P[i]=i;
}
int find(int node){
if(P[node]==node)return node;
return P[node]=find(P[node]);
}
bool unite(int a,int b){
int p1=find(a);
int p2=find(b);
if(p1==p2){
return 0;
}
if(sz[p1]>sz[p2]){
swap(p1,p2);
}
P[p1]=p2;
sz[p2]+=sz[p1];
return 1;
}
}d;
double dist(double a,double b,double c,double d){
return sqrt(abs(a-c)*abs(a-c)+abs(b-d)*abs(b-d));
}
int main()
{
//freopen("input.txt","r",stdin);
//freopen("output.txt","w",stdout);
#ifndef ONLINE_JUDGE
// freopen("input.in", "r", stdin);
// freopen("output.out", "w", stdout);
#endif
fast
int n;cin>>n;
double a[n+5],b[n+5];
for(int i=1;i<=n;i++){
cin>>a[i]>>b[i];
}
double l=0,r=1e10;
double ans=1e10;
while(r-l>1e-8){
double mid=(l+r)/2.0;
d.init(n);
for(int i=1;i<=n;i++){
for(int j=i+1;j<=n;j++){
if(i==j)continue;
if(dist(a[i],b[i],a[j],b[j])/2.0<mid){
d.unite(i, j);
}
}
}
if(d.sz[d.find(1)]==n){
r=mid-1e-8;
ans=mid;
}
else{
l=mid+1e-8;
}
}
cout<<fixed<<setprecision(7)<<ans<<endl;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
464 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
2 ms |
344 KB |
Output is correct |
6 |
Correct |
31 ms |
444 KB |
Output is correct |
7 |
Correct |
31 ms |
600 KB |
Output is correct |
8 |
Correct |
67 ms |
348 KB |
Output is correct |
9 |
Correct |
107 ms |
344 KB |
Output is correct |
10 |
Correct |
100 ms |
468 KB |
Output is correct |