#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize ("Ofast")
#define F first
#define S second
#define vi vector<int>
#define vvi vector<vi>
#define pi pair<int, int>
#define vpi vector<pi>
#define vb vector<bool>
#define vvb vector<vb>
#define pb push_back
#define ppb pop_back
#define read(a) for(auto &x:a) cin >> x;
#define print(a) for(auto x:a) cout << x << " "; cout << "\n";
#define vc vector<char>
#define vvc vector<vc>
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define int long long
#define ld long double
const int INF = 1e18;
const int inf = 1e9;
struct DSU{
vi link, sz;
DSU(int n){
link = sz = vi(n);
for(int i=0; i<n; i++)
link[i] = i, sz[i] = 1;
}
int find(int x){
if(x == link[x]) return x;
return link[x] = find(link[x]);
}
bool same(int a, int b){
return find(a) == find(b);
}
void unite(int a, int b){
a = find(a), b = find(b);
if(a == b) return;
if(sz[a] < sz[b]) swap(a, b);
link[b] = a;
sz[a] += sz[b];
}
};
ld eps = 1e-6;
void solve(){
int n; cin >> n;
vi x(n), y(n);
for(int i=0; i<n; i++)
cin >> x[i] >> y[i];
ld l = 0, r = 2e9, k;
while(r-l >= eps){
k = (l+r)/2;
DSU dsu(n);
for(int i=0; i<n; i++)
for(int j=i+1; j<n; j++)
if((x[i]-x[j])*(x[i]-x[j]) + (y[i]-y[j])*(y[i]-y[j]) <= k*k*4)
dsu.unite(i, j);
bool ok = 1;
for(int i=0; i<n && ok; i++)
ok &= (dsu.sz[dsu.find(i)] == n);
if(ok) r = k;
else l = k;
}
cout << fixed << setprecision(20) << l << "\n";
}
signed main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
// #ifndef ONLINE_JUDGE
// freopen("in.txt", "r", stdin);
// freopen("out.txt", "w", stdout);
// #endif
int tt = 1;
// cin >> tt;
while(tt--)
solve();
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
316 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
25 ms |
212 KB |
Output is correct |
7 |
Correct |
24 ms |
340 KB |
Output is correct |
8 |
Correct |
51 ms |
340 KB |
Output is correct |
9 |
Correct |
70 ms |
340 KB |
Output is correct |
10 |
Correct |
58 ms |
352 KB |
Output is correct |