#include <bits/stdc++.h>
using namespace std;
#define fastIO() \
ios_base::sync_with_stdio(false); \
cin.tie(NULL); \
cout.tie(NULL);
#define endl '\n'
#define pb push_back
#define mp make_pair
#define all(x) (x).begin(), (x).end()
#define allr(a) a.rbegin(), a.rend()
#define sz(x) (int)(x).size()
#define ff first
#define ss second
using ll = long long;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using vpll = vector<pll>;
using vb = vector<bool>;
using vi = vector<int>;
using vll = vector<ll>;
using vvll = vector<vll>;
using vvi = vector<vector<int>>;
using vvpii = vector<vector<pair<int, int>>>;
const int MOD = (int)1e9 + 7;
struct Edge{
long double w;
ll a1, b1, a2, b2;
bool operator<(const Edge & o) {
return w < o.w;
}
void calculate_dist(){
w = (abs(a1-b1)*abs(a1-b1)) + (abs(a2-b2)*abs(a2-b2));
w = (long double)sqrt(w);
}
};
int n;
vector<pll> node;
vector<Edge> adj;
struct DSU {
map<pll, pll> p;
map<pll, ll> rank;
DSU() {
for (int i=0; i < n; i++) {
p.insert({node[i], node[i]});
rank.insert({node[i], 1});
}
}
pll find(pll v) {
return ( v == p[v]) ? v : p[v] = find(p[v]);
}
void unite(pll a, pll b) {
a = find(a);
b = find(b);
if (a == b) return;
if (rank[a] < rank[b]) swap(a, b);
p[b] = a;
if (rank[a] == rank[b]) rank[a]++;
}
};
long double kruskal() {
sort(all(adj));
long double max_edge = adj[0].w;
DSU dsu;
for (auto[w,a1,b1,a2,b2] : adj) {
if (dsu.find({a1, a2}) == dsu.find({b1, b2}))
continue;
dsu.unite({a1, a2} , {b1, b2});
max_edge = max(max_edge, w);
}
return max_edge / (long double)2;
}
int main() {
fastIO();
ll x, y;
cin >> n;
node.resize(n);
for (int i=0; i < n; i++) {
cin >> x >> y;
node[i] = {x, y};
}
for (int i=0; i < n; i++)
for (int j=i+1; j < n; j++) {
Edge e = {0, node[i].ff, node[j].ff, node[i].ss, node[j].ss};
e.calculate_dist();
adj.pb(e);
}
long double ans = kruskal();
cout << setprecision(15) << ans;
return 0;
}
# |
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 |
600 KB |
Output is correct |
4 |
Correct |
1 ms |
604 KB |
Output is correct |
5 |
Correct |
2 ms |
796 KB |
Output is correct |
6 |
Correct |
53 ms |
7116 KB |
Output is correct |
7 |
Correct |
54 ms |
7624 KB |
Output is correct |
8 |
Correct |
133 ms |
27056 KB |
Output is correct |
9 |
Correct |
267 ms |
27072 KB |
Output is correct |
10 |
Correct |
263 ms |
25280 KB |
Output is correct |