#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("O3,unroll-loops")
// #pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
// Ofast, O0, O1, O2, O3, unroll-loops, fast-math, trapv
typedef long long ll;
typedef long double ld;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;
#define Mp make_pair
#define sep ' '
#define endl '\n'
#define F first
#define S second
#define pb push_back
#define all(x) (x).begin(),(x).end()
#define kill(res) cout << res << '\n', exit(0);
#define set_dec(x) cout << fixed << setprecision(x);
#define fast_io ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
#define file_io freopen("input.txt", "r", stdin) ; freopen("output.txt", "w", stdout);
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const ll N = 1e3 + 50;
const ll Mod = 1e9 + 7;
ll n, x[N], y[N];
bool mark[N];
vector<int> adj[N];
ll dist(int i, int j){
return (x[i] - x[j]) * (x[i] - x[j]) + (y[i] - y[j]) * (y[i] - y[j]);
}
void dfs(int v){
mark[v] = true;
for(int u: adj[v]){
if(!mark[u]) dfs(u);
}
}
bool check(ld r){
for(int i = 1; i <= n; i++) adj[i].clear();
for(int i = 1; i <= n; i++){
for(int j = i+1; j <= n; j++){
if(dist(i, j) <= r * r * 4){
adj[i].pb(j); adj[j].pb(i);
}
}
}
fill(mark, mark + N, 0);
int cnt = 0;
for(int i = 1; i <= n; i++){
if(!mark[i]){
dfs(i); cnt++;
}
}
return cnt == 1;
}
int main(){
fast_io;
cin >> n;
for(int i = 1; i <= n; i++) cin >> x[i] >> y[i];
if(n == 1) kill(0);
ld l = 0, r = 2e9;
for(int i = 0; i < 100; i++){
ld mid = (l+r)/2;
if(check(mid)) r = mid;
else l = mid;
}
set_dec(8);
cout << r;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
600 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 |
348 KB |
Output is correct |
6 |
Correct |
38 ms |
1372 KB |
Output is correct |
7 |
Correct |
38 ms |
1368 KB |
Output is correct |
8 |
Correct |
87 ms |
3572 KB |
Output is correct |
9 |
Correct |
117 ms |
4444 KB |
Output is correct |
10 |
Correct |
101 ms |
4444 KB |
Output is correct |