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- #include <iostream>
- #include <vector>
- #include <algorithm>
- #include <set>
- using namespace std;
- //#define int long long
- const int MAXN = 2 * 1e5 + 10;
- int n;
- vector <int> g[MAXN];
- void read()
- {
- cin >> n;
- for (int i = 0; i < n - 1; i++)
- {
- int u, v;
- cin >> u >> v;
- u--; v--;
- g[u].push_back(v);
- g[v].push_back(u);
- }
- }
- int fans[MAXN];
- int sz[MAXN];
- int ans = 0;
- bool used[MAXN];
- void dfs(int v, int size_comp, int p)
- {
- sz[v] = 1;
- int m = 0;
- for (auto i : g[v])
- {
- if (i != p && !used[i])
- {
- dfs(i, size_comp, v);
- sz[v] += sz[i];
- m = max(sz[i], m);
- }
- }
- m = max(m, size_comp - sz[v]);
- if (m <= size_comp / 2)
- {
- ans = v;
- }
- }
- void find_decomposition(int v, int size, int p)
- {
- dfs(v, size, v);
- int u = ans;
- fans[u] = p + 1;
- // dfs(u, size, u);
- used[u] = true;
- for (int i = 0; i < g[u].size(); i++)
- {
- if (!used[g[u][i]])
- {
- int m = sz[g[u][i]];
- if (m > sz[u])
- {
- m = size - sz[u];
- }
- find_decomposition(g[u][i], m, u);
- }
- }
- }
- void run()
- {
- find_decomposition(0, n, -1);
- }
- void write()
- {
- for (int i = 0; i < n; i++)
- {
- cout << fans[i] << " ";
- }
- }
- signed main()
- {
- ios_base::sync_with_stdio(false);
- cin.tie(0);
- cout.tie(0);
- read();
- run();
- write();
- return 0;
- }
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