Submission #499759

#TimeUsernameProblemLanguageResultExecution timeMemory
499759mosiashvililukaPaths (RMI21_paths)C++14
0 / 100
362 ms26844 KiB
#include<bits/stdc++.h> using namespace std; long long a,b,c,d,e,i,j,ii,jj,zx,xc,K,f[100009],g[100009],DP[100009],dep[100009],msh[100009],msh2[100009],pas,ans[100009],I; pair <pair <long long, long long>, pair <long long, long long> > dp[100009],dp2[100009]; vector <pair <long long, long long> > v[100009]; set <pair <long long, long long> > s; set <pair <long long, long long> >::iterator IT,tt,TT; void dfsst(long long q, long long w){ msh[q]=w; DP[q]=q; for(vector <pair <long long, long long> >::iterator it=v[q].begin(); it!=v[q].end(); it++){ if((*it).first==w) continue; dep[(*it).first]=dep[q]+(*it).second; msh2[(*it).first]=(*it).second; dfsst((*it).first,q); g[(*it).first]=DP[(*it).first];f[g[(*it).first]]+=msh2[(*it).first]; if(dep[DP[q]]<dep[DP[(*it).first]]) DP[q]=DP[(*it).first]; } } void upd(long long q, long long w, int rr){ if(dp[q].first.first<w){ dp[q].second=dp[q].first; dp[q].first={w,rr}; }else{ if(dp[q].second.first<w){ dp[q].second={w,rr}; } } } void dfsst2(long long q, long long w){ dp[q].first={0,q}; for(vector <pair <long long, long long> >::iterator it=v[q].begin(); it!=v[q].end(); it++){ if((*it).first==w) continue; dfsst2((*it).first,q); upd(q,dp[(*it).first].first.first+(*it).second,dp[(*it).first].first.second); } } void upd2(int q, int w, int rr){ if(dp2[q].first.first<w){ dp2[q].second=dp2[q].first; dp2[q].first={w,rr}; }else{ if(dp2[q].second.first<w){ dp2[q].second={w,rr}; } } } void dfsst3(int q, int w){ upd2(q,dp[q].first.first,dp[q].first.second); upd2(q,dp[q].second.first,dp[q].second.second); if(w!=0){ if(dp2[w].first.second!=dp[q].first.second){ upd2(q,dp2[w].first.first+msh2[q],dp2[w].first.second); }else{ upd2(q,dp2[w].second.first+msh2[q],dp2[w].second.second); } } for(vector <pair <long long, long long> >::iterator it=v[q].begin(); it!=v[q].end(); it++){ if((*it).first==w) continue; dfsst3((*it).first,q); } } void Plus(long long q, long w){ s.insert({q,w}); if(q>(*IT).first||(q==(*IT).first&&w>(*IT).second)){ pas-=(*IT).first; IT++; pas+=q; } } void Minus(long long q, long long w){ tt=s.lower_bound({q,w}); if(tt==IT){ pas-=(*tt).first; IT--; pas+=(*IT).first; s.erase(tt); return; } if((*tt).first>(*IT).first||((*tt).first==(*IT).first&&(*tt).second>(*IT).second)){ pas-=(*tt).first; IT--; pas+=(*IT).first; } s.erase(tt); } void dfs(long long q, long long w){ ans[q]=pas; for(vector <pair <long long, long long> >::iterator it=v[q].begin(); it!=v[q].end(); it++){ if((*it).first==w) continue; Minus(f[g[(*it).first]],g[(*it).first]); f[g[(*it).first]]-=(*it).second; Plus(f[g[(*it).first]],g[(*it).first]); long long Q=0; if(dp2[q].first.second!=dp[(*it).first].first.second){ Q=dp2[q].first.second; }else{ Q=dp2[q].second.second; } int QW=g[(*it).first]; g[(*it).first]=Q; Minus(f[g[(*it).first]],g[(*it).first]); f[g[(*it).first]]+=(*it).second; Plus(f[g[(*it).first]],g[(*it).first]); dfs((*it).first,q); Minus(f[g[(*it).first]],g[(*it).first]); f[g[(*it).first]]-=(*it).second; Plus(f[g[(*it).first]],g[(*it).first]); g[(*it).first]=QW; Minus(f[g[(*it).first]],g[(*it).first]); f[g[(*it).first]]+=(*it).second; Plus(f[g[(*it).first]],g[(*it).first]); } } int main(){ /*freopen("paths.in","r",stdin); freopen("paths.out","w",stdout);*/ ios_base::sync_with_stdio(false),cin.tie(0),cout.tie(0); cin>>a>>K; for(i=1; i<a; i++){ cin>>c>>d>>e; v[c].push_back(make_pair(d,e)); v[d].push_back(make_pair(c,e)); } dfsst(1,0); dfsst2(1,0); dfsst3(1,0); /*for(i=1; i<=a; i++){ cout<<dp2[i].first.first<<" "<<dp2[i].first.second<<" "<<dp2[i].second.first<<" "<<dp2[i].second.second<<"\n"; } exit(0);*/ // for(i=1; i<=a; i++){ s.insert(make_pair(f[i],i)); } s.insert({0,0}); IT=s.end();pas=0; for(i=1; i<=K; i++){ IT--;pas+=(*IT).first; } I=K; dfs(1,0); for(i=1; i<=a; i++){ cout<<ans[i]<<"\n"; } return 0; }
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