제출 #1191382

#제출 시각아이디문제언어결과실행 시간메모리
119138212345678Min-max tree (BOI18_minmaxtree)C++20
0 / 100
108 ms26224 KiB
#include <bits/stdc++.h> using namespace std; const int nx=7e4+5, kx=17; int n, k, u, v, w[nx], lvl[nx], pa[nx][kx], mn[nx], mx[nx], sz[nx]; char opr; vector<int> d[nx], addmn[nx], remmn[nx], addmx[nx], remmx[nx]; multiset<pair<int ,int>> msmx, msmn; int lca(int u, int v) { if (lvl[u]>lvl[v]) swap(u, v); for (int i=kx-1; i>=0; i--) if (lvl[pa[v][i]]>=lvl[u]) v=pa[v][i]; if (u==v) return u; for (int i=kx-1; i>=0; i--) if (pa[u][i]!=pa[v][i]) u=pa[u][i], v=pa[v][i]; return pa[u][0]; } void dfs(int u, int p) { lvl[u]=lvl[p]+1; pa[u][0]=p; for (int i=1; i<kx; i++) pa[u][i]=pa[pa[u][i-1]][i-1]; for (auto v:d[u]) if (v!=p) dfs(v, u); } void dfssz(int u, int p) { sz[u]=1+addmn[u].size()+remmn[u].size()+addmx[u].size()+remmx[u].size(); for (auto v:d[u]) if (v!=p) dfssz(v, u), sz[u]+=sz[v]; } void dfsadd(int u, int p) { for (auto v:d[u]) if (v!=p) dfsadd(v, u); for (auto x:addmn[u]) msmn.insert({w[x], x}); for (auto x:remmn[u]) msmn.erase(msmn.find({w[x], x})); for (auto x:addmx[u]) msmx.insert({w[x], x}); for (auto x:remmx[u]) msmx.erase(msmx.find({w[x], x})); } void sack(int u, int p, bool rem) { pair<int, int> hv; for (auto v:d[u]) if (v!=p) hv=max(hv, {sz[v], v}); for (auto v:d[u]) if (v!=p&&v!=hv.second) sack(v, u, 1); if (hv.second) sack(hv.second, u, 0); for (auto v:d[u]) if (v!=p&&v!=hv.second) dfsadd(v, u); for (auto x:addmn[u]) msmn.insert({w[x], x}); for (auto x:remmn[u]) msmn.erase(msmn.find({w[x], x})); for (auto x:addmx[u]) msmx.insert({w[x], x}); for (auto x:remmx[u]) msmx.erase(msmx.find({w[x], x})); mx[u]=mn[u]=1; //cout<<"debug "<<u<<' '<<msmx.size()<<'\n'; if (!msmx.empty()) mx[u]=prev(msmx.end())->first; if (!msmn.empty()) mn[u]=msmn.begin()->first; if (rem) msmx.clear(), msmn.clear(); } int main() { cin.tie(NULL)->sync_with_stdio(false); cin>>n; for (int i=1; i<n; i++) cin>>u>>v, d[u].push_back(v), d[v].push_back(u); dfs(1, 1); cin>>k; for (int i=1; i<=k; i++) { cin>>opr>>u>>v>>w[i]; int l=lca(u, v); if (opr=='M') addmx[u].push_back(i), addmx[v].push_back(i), remmx[l].push_back(i), remmx[l].push_back(i); else addmn[u].push_back(i), addmn[v].push_back(i), remmn[l].push_back(i), remmn[l].push_back(i); } dfssz(1, 1); sack(1, 1, 0); for (int i=2; i<=n; i++) cout<<i<<' '<<pa[i][0]<<' '<<mx[i]<<'\n'; }
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