문제
링크
풀이
#include <algorithm>
#include <iostream>
#include <map>
#include <vector>
using namespace std;
vector<int> parent;
inline void init_dsu(int n) {
parent.resize(n+1);
for (int i=0; i<=n; i++) parent[i] = i;
}
inline int find_set(int v) {
if (v == parent[v]) return v;
return parent[v] = find_set(parent[v]);
}
inline void union_sets(int a, int b) {
a = find_set(a);
b = find_set(b);
if (a != b) parent[b] = a;
}
inline int calc(const vector<vector<int>> &v, const vector<int> &w, int idx) {
int ret = 0;
for (int x : w) ret = max(ret, v[idx][x]);
return ret;
}
void solve(void) {
int n; cin >> n;
int m; cin >> m;
init_dsu(n);
vector<vector<int>> v(n+1, vector<int>(n+1, 1e9));
while (m--) {
int a, b; cin >> a >> b;
v[a][b] = v[b][a] = 1;
union_sets(a, b);
}
for (int i=1; i<=n; i++) v[i][i] = 0;
for (int k=1; k<=n; k++) for (int i=1; i<=n; i++) for (int j=1; j<=n; j++) {
if (i == j || j == k || k == 1) continue;
v[i][j] = v[j][i] = min(v[i][j], v[i][k] + v[k][j]);
}
map<int, vector<int>> mp;
for (int i=1; i<=n; i++) mp[find_set(i)].push_back(i);
vector<int> ans;
for (const auto &[_, w] : mp) {
int idx = w[0], mn = calc(v, w, w[0]);
for (int i=1; i<w.size(); i++) {
if (calc(v, w, w[i]) < mn) {
idx = w[i];
mn = calc(v, w, w[i]);
}
}
ans.push_back(idx);
}
sort(ans.begin(), ans.end());
cout << ans.size() << "\n";
for (int x : ans) cout << x << "\n";
}
int main(void) {
ios::sync_with_stdio(false);
cin.tie(nullptr);
solve();
return 0;
}