Submission #952330

#TimeUsernameProblemLanguageResultExecution timeMemory
952330GrindMachineMeetings 2 (JOI21_meetings2)C++17
100 / 100
470 ms50500 KiB
#include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> using namespace std; using namespace __gnu_pbds; template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>; typedef long long int ll; typedef long double ld; typedef pair<int,int> pii; typedef pair<ll,ll> pll; #define fastio ios_base::sync_with_stdio(false); cin.tie(NULL) #define pb push_back #define endl '\n' #define sz(a) (int)a.size() #define setbits(x) __builtin_popcountll(x) #define ff first #define ss second #define conts continue #define ceil2(x,y) ((x+y-1)/(y)) #define all(a) a.begin(), a.end() #define rall(a) a.rbegin(), a.rend() #define yes cout << "Yes" << endl #define no cout << "No" << endl #define rep(i,n) for(int i = 0; i < n; ++i) #define rep1(i,n) for(int i = 1; i <= n; ++i) #define rev(i,s,e) for(int i = s; i >= e; --i) #define trav(i,a) for(auto &i : a) template<typename T> void amin(T &a, T b) { a = min(a,b); } template<typename T> void amax(T &a, T b) { a = max(a,b); } #ifdef LOCAL #include "debug.h" #else #define debug(x) 42 #endif /* refs: edi */ const int MOD = 1e9 + 7; const int N = 2e5 + 5; const int inf1 = int(1e9) + 5; const ll inf2 = ll(1e18) + 5; vector<ll> adj[N]; struct lca_algo { // LCA template (for graphs with 1-based indexing) int LOG = 1; vector<int> depth; vector<vector<int>> up; vector<int> tin, tout; int timer = 1; lca_algo() { } lca_algo(int n) { lca_init(n); } void lca_init(int n) { while ((1 << LOG) < n) LOG++; up = vector<vector<int>>(n + 1, vector<int>(LOG, 1)); depth = vector<int>(n + 1); tin = vector<int>(n + 1); tout = vector<int>(n + 1); lca_dfs(1, -1); } void lca_dfs(int node, int par) { tin[node] = timer++; trav(child, adj[node]) { if (child == par) conts; up[child][0] = node; rep1(j, LOG - 1) { up[child][j] = up[up[child][j - 1]][j - 1]; } depth[child] = depth[node] + 1; lca_dfs(child, node); } tout[node] = timer-1; } int lift(int u, int k) { rep(j, LOG) { if (k & (1 << j)) { u = up[u][j]; } } return u; } int query(int u, int v) { if (depth[u] < depth[v]) swap(u, v); int k = depth[u] - depth[v]; u = lift(u, k); if (u == v) return u; rev(j, LOG - 1, 0) { if (up[u][j] != up[v][j]) { u = up[u][j]; v = up[v][j]; } } u = up[u][0]; return u; } int get_dis(int u, int v) { int lca = query(u, v); return depth[u] + depth[v] - 2 * depth[lca]; } bool is_ances(int u, int v){ return tin[u] <= tin[v] and tout[u] >= tout[v]; } }; vector<ll> subsiz(N), depth(N); void dfs1(ll u, ll p){ subsiz[u] = 1; trav(v,adj[u]){ if(v == p) conts; depth[v] = depth[u]+1; dfs1(v,u); subsiz[u] += subsiz[v]; } } ll dfs2(ll u, ll p){ trav(v,adj[u]){ if(v == p) conts; if(subsiz[v] > subsiz[1]/2){ return dfs2(v,u); } } return u; } void solve(int test_case) { ll n; cin >> n; rep1(i,n-1){ ll u,v; cin >> u >> v; adj[u].pb(v), adj[v].pb(u); } dfs1(1,-1); ll r = dfs2(1,-1); dfs1(r,-1); lca_algo LCA(n); vector<pll> order; rep1(i,n) order.pb({subsiz[i],i}); sort(rall(order)); vector<ll> ans(n+5); array<ll,3> diam = {0,r,r}; for(auto [siz,u] : order){ auto nxt_diam = diam; rep1(j,2){ ll v = diam[j]; array<ll,3> ar = {LCA.get_dis(u,v),u,v}; amax(nxt_diam,ar); } diam = nxt_diam; rep1(j,2){ ll v = diam[j]; ll d = LCA.get_dis(u,v); amax(ans[siz],d); } } rev(i,n,1) amax(ans[i],ans[i+1]); rep1(i,n){ if(i&1) cout << 1 << endl; else cout << ans[i/2]+1 << endl; } } int main() { fastio; int t = 1; // cin >> t; rep1(i, t) { solve(i); } return 0; }
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