#include <bits/stdc++.h>
#define fast cin.tie(0)->sync_with_stdio(0);
#define int long long
#define inf ((int)1e18)
using namespace std;
int n;
vector <pair<int, int> > points;
vector <int> par;
int parent(int x) {
if(par[x] == x) return x;
return par[x] = parent(par[x]);
}
void merge(int x, int y) {
x = parent(x);
y = parent(y);
par[x] = y;
}
double dist(int a, int b, int x, int y) {
return sqrt(abs(a - x) * abs(a - x) + abs(b - y) * abs(b - y));
}
bool check(double r) {
par.assign(n, 0);
for(int i = 0; i < n; i++) par[i] = i;
for(int i = 0; i < n; i++) {
int a = points[i].first, b = points[i].second;
for(int j = 0; j < i; j++) {
int x = points[j].first, y = points[j].second;
// cout << a << " " << b << " " << x << " " << y << " ";
// cout << dist(a, b, x, y) << "\n";
if(dist(a, b, x, y) <= r * 2) {
// cout << i << " " << j << "\n";
merge(i, j);
}
}
}
for(int i = 1; i < n; i++) {
if(parent(i) != parent(0)) return 0;
}
return 1;
}
int32_t main(){
fast
cin >> n;
for(int i = 0; i < n; i++) {
int a, b;
cin >> a >> b;
points.push_back({a, b});
}
double l = 0, r = 1e10;
while(r - l > 0.0000001) {
double m = (r + l) / 2;
// cout << setprecision(6) << l << " " << r << " " << m << " m\n";
if(check(m)) {
// cout << 1 << "\n";
r = m;
}
else {
// cout << 0 << "\n";
l = m;
}
// cout << "\n\n";
}
cout << setprecision(8) << r;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
30 ms |
456 KB |
Output is correct |
7 |
Correct |
30 ms |
348 KB |
Output is correct |
8 |
Correct |
69 ms |
484 KB |
Output is correct |
9 |
Correct |
106 ms |
348 KB |
Output is correct |
10 |
Correct |
96 ms |
600 KB |
Output is correct |