Submission #869297

#TimeUsernameProblemLanguageResultExecution timeMemory
869297NK_Meetings 2 (JOI21_meetings2)C++17
100 / 100
415 ms47036 KiB
// Success consists of going from failure to failure without loss of enthusiasm #include <bits/stdc++.h> using namespace std; #define nl '\n' #define pb push_back #define pf push_front #define mp make_pair #define f first #define s second #define sz(x) int(x.size()) template<class T> using V = vector<T>; using pi = pair<int, int>; using vi = V<int>; using vpi = V<pi>; using ll = long long; using pl = pair<ll, ll>; using vpl = V<pl>; using vl = V<ll>; using db = long double; template<class T> using pq = priority_queue<T, V<T>, greater<T>>; const int MOD = 1e9 + 7; const ll INFL = ll(1e17); const int LG = 18; int main() { cin.tie(0)->sync_with_stdio(0); int N; cin >> N; V<vi> adj(N); for(int i = 0; i < N-1; i++) { int u, v; cin >> u >> v; --u, --v; adj[u].pb(v); adj[v].pb(u); } vi sub(N), X(N, MOD); function<void(int, int)> prep = [&](int u, int p) { sub[u] = 1; for(auto& v : adj[u]) if (v != p) { prep(v, u); X[u] = min(X[u], N - sub[v]); sub[u] += sub[v]; } X[u] = min(X[u], sub[u]); // cout << "X " << X[u] << " " << u << endl; }; prep(0, -1); vi dep(N); V<vi> up(N, vi(LG)); function<void(int, int)> gen = [&](int u, int p) { up[u][0] = p; dep[u] = (u == p ? 0 : dep[p] + 1); for(int i = 1; i < LG; i++) up[u][i] = up[up[u][i-1]][i-1]; for(auto& v : adj[u]) if (v != p) gen(v, u); }; auto jmp = [&](int u, int d) { for(int i = 0; i < LG; i++) if ((d >> i) & 1) u = up[u][i]; return u; }; auto lca = [&](int a, int b) { if (dep[a] < dep[b]) swap(a, b); a = jmp(a, dep[a] - dep[b]); if (a == b) return a; for(int i = LG - 1; i >= 0; i--) { if (up[a][i] != up[b][i]) { a = up[a][i], b = up[b][i]; } } return up[a][0]; }; auto dist = [&](int a, int b) { return dep[a] + dep[b] - 2 * dep[lca(a, b)]; }; gen(0, 0); vi U(N); iota(begin(U), end(U), 0); sort(begin(U), end(U), [&](int a, int b) { return X[a] > X[b]; }); int a = U[0], b = U[0], d = 0; vi ans(N, 1); for(int i = N / 2, cur = 0; i >= 1; i--) { while(cur < N && X[U[cur]] >= i) { // add U[cur]; int x = U[cur]; // cerr << "ADD " << x << endl; int xa = dist(x, a), xb = dist(x, b); if (d < xa) b = x, d = xa; else if (d < xb) a = x, d = xb; cur++; } // cerr << "=> " << d << endl; ans[2 * i - 1] = d + 1; } for(int i = 0; i < N; i++) cout << ans[i] << nl; exit(0-0); }
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