Submission #1306154

#	Time	Username	Problem	Language	Result	Execution time	Memory
1306154		huypham2009	Harbingers (CEOI09_harbingers)	C++20	20 / 100	163 ms	95344 KiB

harbingers

#include <bits/stdc++.h>
using namespace std;
#define int long long
const int inf=1e18;
const int maxn=1e5+5;
struct line{
    int a,b;
    line(int x=0,int y=inf)
    {
        a=x;
        b=y;
    }
    int operator()(int x)   const
    {
        return a*x+b;
    }
};
struct node{
    line d;
    node *L,*R;
    node()
    {
        L=NULL;
        R=NULL;
        d=line();
    }
    node(line x)
    {
        L=NULL;
        R=NULL;
        d=x;
    }
    node(node *&cur)
    {
        d=cur->d;
        L=cur->L;
        R=cur->R;
    }
};
struct lichao{
    node *root;
    int ml=0,mr=1e4;
    lichao()
    {
        root=new node();
    }
    void update(node *&cur,line newl,int l,int r)
    {
        if(l>r) return;
        if(cur==NULL)   cur=new node();
        else cur=new node(cur);
        int mid=l+r>>1;
        if(newl(mid)<cur->d(mid))   swap(newl,cur->d);
        if(newl(mid)>1e16)  return;
        if(newl.a<cur->d.a)
        {
            // if(cur->R)cur->R=new node(cur->R);
            // else cur->R=new node();
            update(cur->R,newl,mid+1,r);
        }
        else 
        {
            // if(cur->L)cur->L=new node(cur->L);
            // else cur->L=new node();
            update(cur->L,newl,l,mid-1);
        }
    }
    void update(line newl)
    {
        update(root,newl,ml,mr);
    }
    int get(node *&cur,int x,int l,int r)
    {
        if(l>x||r<x||cur==NULL)    return inf;
        int mid=l+r>>1;
        if(x>mid)   return min(cur->d(x),get(cur->R,x,mid+1,r));
        else return min(cur->d(x),get(cur->L,x,l,mid-1));
    }
    int get(int x)
    {
        return get(root,x,ml,mr);
    }
}   town[maxn];
int h[maxn],n,dp[maxn],S[maxn],V[maxn];
line Line[maxn];
vector<pair<int,int>>g[maxn];
void dfs(int u,int p)
{
    town[u].root=new node(town[p].root);
    dp[u]=town[p].get(V[u])+h[u]*V[u]+S[u];
    // cout<<u<<' '<<town[p].get(V[u])<<' '<<h[u]<<' '<<V[u]<<'\n';
    town[u].update({-h[u],dp[u]});
    for(pair<int,int>v:g[u])
    {
        if(v.first==p)  continue;
        h[v.first]=h[u]+v.second;
        dfs(v.first,u);
    }
}
int32_t main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cin>>n;
    for(int i=1;i<n;i++)
    {
        int u,v,w;
        cin>>u>>v>>w;
        g[u].push_back({v,w});
        g[v].push_back({u,w});
    }
    for(int i=2;i<=n;i++)   cin>>S[i]>>V[i];
    town[1].update({0,0});
    dfs(1,1);
    for(int i=2;i<=n;i++)   cout<<dp[i]<<' ';
    return 0;
}

• Subtask 1: 20 / 100