Submission #1173611

#TimeUsernameProblemLanguageResultExecution timeMemory
1173611imarnTeam Coding (EGOI24_teamcoding)C++20
100 / 100
195 ms107412 KiB
#include<bits/stdc++.h> #pragma GCC optimize("O3") #pragma GCC target("avx2") #define ll long long #define pii pair<int,int> #define pll pair<ll,ll> #define plx pair<ll,int> #define f first #define s second #define pb push_back #define all(x) x.begin(),x.end() #define vi vector<int> #define vvi vector<vi> #define pp pair<ll,int> #define ub(x,i) upper_bound(all(x),i)-x.begin() #define lb(x,i) lower_bound(all(x),i)-x.begin() #define t3 tuple<int,int,int> #define sz(x) (ll)x.size() #define cd complex<double> using namespace std; const int mxn=1e5+5,K=320; vector<int>g[mxn],dc[mxn],cc[mxn]; vector<pii>dcc[mxn]; int d[mxn]{0},ti[mxn]{0},to[mxn]{0},cu=0,cnt[mxn]{0},c[mxn],sz[mxn]{0},dp[mxn]{0}; int fw[mxn]{0},ans[mxn]{0},ans2[mxn]{0}; void add(int i,int amt){ for(;i<mxn;i+=i&-i)fw[i]+=amt; } int qr(int i,int rs=0){ for(;i;i-=i&-i)rs+=fw[i]; return rs; } bool ok[mxn]{0}; void dfs(int u){ ti[u]=++cu; if(!cnt[c[u]])ok[u]=1; cnt[c[u]]++; for(auto v:g[u]){ d[v]=d[u]+1;dfs(v); }to[u]=cu;cnt[c[u]]--; dc[c[u]].pb(d[u]); } deque<int>dq[mxn]; void sol1(int u){ for(auto v:g[u]){ sol1(v); if(dq[v].size()>dq[u].size())swap(dq[v],dq[u]); for(int j=0;j<dq[v].size();j++)dq[u][j]+=dq[v][j]; while(!dq[v].empty())dq[v].pop_back(); } if(sz[c[u]]<K&&ok[u]){ for(auto [dep,val]:dcc[c[u]]){ if(dep>d[u]&&dep<=dq[u].size()+d[u]){ ans2[u]+=min(val,dq[u][dep-d[u]-1]); } }ans2[u]++; }dq[u].push_front(1); } void dfs2(int u){ for(auto v:g[u]){ sol1(v); if(dq[v].size()>dq[u].size())swap(dq[v],dq[u]); for(int j=0;j<dq[v].size();j++)dq[u][j]+=dq[v][j]; while(!dq[v].empty())dq[v].pop_back(); }dq[u].push_front(1); } void sol2(int i){ memset(dp,0,sizeof dp); for(auto [dep,val] : dcc[i])dp[dep]=val; for(auto u : cc[i]){ if(!ok[u])continue; dfs2(u); for(int j=1;j<dq[u].size();j++)ans2[u]+=min(dp[d[u]+j],dq[u][j]); while(!dq[u].empty())dq[u].pop_back(); ans2[u]++; } } int main(){ ios_base::sync_with_stdio(0);cin.tie(0); int n,k;cin>>n>>k; for(int i=0;i<n;i++)cin>>c[i],sz[c[i]]++,cc[c[i]].pb(i); for(int i=1;i<=n-1;i++){ int x;cin>>x;g[x].pb(i); } dfs(0); for(int i=0;i<k;i++){ sort(all(dc[i])); if(dc[i].empty())continue; int mem=dc[i][0],cur=0; for(auto it:dc[i]){ if(it==mem)cur++; else {dcc[i].pb({mem,cur});cur=1;mem=it;} }dcc[i].pb({mem,cur}); } for(int i=0;i<k;i++){ for(auto it : cc[i])add(ti[it],1); for(auto it : cc[i])ans[it]=qr(to[it])-qr(ti[it]-1); for(auto it : cc[i])add(ti[it],-1); }sol1(0);while(!dq[0].empty())dq[0].pop_back(); for(int i=0;i<k;i++){ if(sz[i]>=K)sol2(i); } int rs1=0,rs2=0; for(int i=0;i<n;i++){ if(ans2[i]>rs1)rs1=ans2[i],rs2=ans2[i]-ans[i]; else if(rs1==ans2[i])rs2=min(rs2,ans2[i]-ans[i]); }cout<<rs1<<' '<<rs2; }
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