Submission #1168916

#TimeUsernameProblemLanguageResultExecution timeMemory
1168916PieArmyHarbingers (CEOI09_harbingers)C++20
0 / 100
96 ms28484 KiB
#include<bits/stdc++.h> typedef long long ll; using namespace std; int n; vector<pair<int,ll>>komsu[100023]; ll s[100023],v[100023]; int par[100023][17],dep[100023]; ll path[100023],ans[100023]; int find_par(int pos,int x){ for(int i=0;i<17;i++){ if((1<<i)&x){ pos=par[pos][i]; } } return pos; } void dfs(int pos,int root){ for(int i=1;i<17;i++){ par[pos][i]=par[par[pos][i-1]][i-1]; } int las=find_par(pos,dep[pos]); while(dep[pos]>1){ int cur=find_par(pos,dep[pos]-1); if(ans[las]-path[las]*v[pos]>=ans[cur]-path[cur]*v[pos]){ las=cur; dep[pos]--; continue; } break; } ans[pos]=ans[las]+(path[pos]-path[las])*v[pos]+s[pos]; int loc=pos; for(int i=17-1;i>=0;i--){ if(dep[pos]-1<(1<<i))continue; int a=par[loc][i],b=par[a][0]; if(__int128_t(ans[pos]-ans[b])*__int128_t(path[a]-path[b])<=__int128_t(ans[a]-ans[b])*__int128_t(path[pos]-path[b])){ dep[pos]-=(1<<i); loc=a; } } par[pos][0]=par[loc][0]; for(int i=1;i<17;i++){ par[pos][i]=par[par[pos][i-1]][i-1]; } for(auto x:komsu[pos]){ if(x.first==root)continue; path[x.first]=path[pos]+x.second; dep[x.first]=dep[pos]+1; par[x.first][0]=pos; dfs(x.first,pos); } } int main(){ ios_base::sync_with_stdio(false);cin.tie(NULL); cin>>n; for(int i=1;i<n;i++){ int x,y,z;cin>>x>>y>>z; komsu[x].push_back({y,z}); komsu[y].push_back({x,z}); } for(int i=2;i<=n;i++){ cin>>s[i]>>v[i]; } dfs(1,1); for(int i=2;i<=n;i++){ cout<<ans[i]<<" "; } }
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