Submission #708645

# Submission time Handle Problem Language Result Execution time Memory
708645 2023-03-12T06:18:46 Z ToroTN Factories (JOI14_factories) C++14
15 / 100
8000 ms 382796 KB
#include "factories.h"
#include<bits/stdc++.h>
using namespace std;
//#include "grader.cpp"
#define ll long long
#define pb push_back
#define X first
#define Y second
vector<pair<ll,ll> > v[500005];
ll n,lv[500005],dis[500005][25],par[500005][25];
void dfs(ll u,ll p)
{
    for(int i=0;i<v[u].size();i++)
    {
        ll node=v[u][i].X,cost=v[u][i].Y;
        if(node==p)continue;
        lv[node]=lv[u]+1;
        dis[node][0]=cost;
        par[node][0]=u;
        dfs(node,u);
    }
}
pair<ll,ll> lca(ll a,ll b)
{
    ll sum=0;
    if(lv[a]<lv[b])swap(a,b);
    for(int i=20;i>=0;i--)
    {
        if(lv[par[a][i]]>=lv[b])
        {
            sum+=dis[a][i],a=par[a][i];
        }
    }
    if(a==b)return {a,sum};
    for(int i=20;i>=0;i--)
    {
        if(par[a][i]!=par[b][i])
        {
            sum+=dis[a][i],sum+=dis[b][i];
            a=par[a][i],b=par[b][i];
        }
    }
    sum+=dis[a][0],sum+=dis[b][0];
    return {par[a][0],sum};
}
ll sz[500005],vis[500005],par_cen[500005],opt[500005][25];
ll dfs_sz(ll u,ll p)
{
    sz[u]=1;
    for(int i=0;i<v[u].size();i++)
    {
        ll node=v[u][i].X;
        if(node==p||vis[node])continue;
        sz[u]+=dfs_sz(node,u);
    }
    return sz[u];
}
ll find_cen(ll u,ll p,ll size)
{
    for(int i=0;i<v[u].size();i++)
    {
        ll node=v[u][i].X;
        if(node==p||vis[node])continue;
        if(sz[node]>size/2)return find_cen(node,u,size);
    }
    return u;
}
void centroid(ll u,ll p)
{
    dfs_sz(u,u);
    ll cen=find_cen(u,u,sz[u]);
    vis[cen]=1;
    par_cen[cen]=p;
    for(int i=0;i<v[cen].size();i++)
    {
        ll node=v[cen][i].X;
        if(node==p||vis[node])continue;
        centroid(node,cen);
    }
}
ll mn[500005];
void Init(int N, int A[], int B[], int D[]) 
{
    n=N;
    for(int i=0;i<n-1;i++)
    {
        v[A[i]+1].pb({B[i]+1,D[i]});
        v[B[i]+1].pb({A[i]+1,D[i]});
    }
    par[1][0]=1;
    dfs(1,1);
    for(int i=1;i<=20;i++)
    {
        for(int j=1;j<=n;j++)
        {
            dis[j][i]=dis[j][i-1]+dis[par[j][i-1]][i-1];
            par[j][i]=par[par[j][i-1]][i-1];
        }
    }
    dfs_sz(1,1);
    centroid(1,0);
    for(int i=1;i<=n;i++)
    {
        ll x=i,kk=0;
        while(1)
        {
            opt[i][kk]=lca(x,i).Y;
            ++kk;
            x=par_cen[x];
            if(x==0)break;
        }
    }
    for(int i=1;i<=n;i++)mn[i]=1e18;
}
void update(ll num,ll type)
{
    ll u=num,kk=0;
    while(1)
    {
        if(type==0)
        {
            mn[u]=min(mn[u],opt[num][kk]);
        }else
        {
            mn[u]=1e18;
        }
        u=par_cen[u];
        ++kk;
        if(u==0)break;
    }
}
ll query(ll num)
{
    ll u=num,val=1e18,kk=0;
    while(1)
    {
        val=min(val,opt[num][kk]+mn[u]);
        u=par_cen[u];
        ++kk;
        if(u==0)break;
    }
    return val;
}
long long Query(int S, int X[], int T, int Y[]) 
{
    for(int i=0;i<S;i++)
    {
        update(X[i]+1,0);
    }
    ll ans=1e18;
    for(int i=0;i<T;i++)
    {
        ans=min(ans,query(Y[i]+1));
    }
    for(int i=0;i<S;i++)
    {
        update(X[i]+1,1);
    }
    return ans;
}

Compilation message

factories.cpp: In function 'void dfs(long long int, long long int)':
factories.cpp:13:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   13 |     for(int i=0;i<v[u].size();i++)
      |                 ~^~~~~~~~~~~~
factories.cpp: In function 'long long int dfs_sz(long long int, long long int)':
factories.cpp:50:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   50 |     for(int i=0;i<v[u].size();i++)
      |                 ~^~~~~~~~~~~~
factories.cpp: In function 'long long int find_cen(long long int, long long int, long long int)':
factories.cpp:60:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   60 |     for(int i=0;i<v[u].size();i++)
      |                 ~^~~~~~~~~~~~
factories.cpp: In function 'void centroid(long long int, long long int)':
factories.cpp:74:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   74 |     for(int i=0;i<v[cen].size();i++)
      |                 ~^~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 14 ms 12884 KB Output is correct
2 Correct 273 ms 25536 KB Output is correct
3 Correct 275 ms 25708 KB Output is correct
4 Correct 282 ms 25684 KB Output is correct
5 Correct 287 ms 25944 KB Output is correct
6 Correct 209 ms 26148 KB Output is correct
7 Correct 268 ms 26176 KB Output is correct
8 Correct 304 ms 26236 KB Output is correct
9 Correct 298 ms 26512 KB Output is correct
10 Correct 194 ms 26280 KB Output is correct
11 Correct 275 ms 26356 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 8 ms 12500 KB Output is correct
2 Correct 2773 ms 364040 KB Output is correct
3 Correct 6465 ms 366784 KB Output is correct
4 Correct 895 ms 362140 KB Output is correct
5 Execution timed out 8029 ms 382796 KB Time limit exceeded
6 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 14 ms 12884 KB Output is correct
2 Correct 273 ms 25536 KB Output is correct
3 Correct 275 ms 25708 KB Output is correct
4 Correct 282 ms 25684 KB Output is correct
5 Correct 287 ms 25944 KB Output is correct
6 Correct 209 ms 26148 KB Output is correct
7 Correct 268 ms 26176 KB Output is correct
8 Correct 304 ms 26236 KB Output is correct
9 Correct 298 ms 26512 KB Output is correct
10 Correct 194 ms 26280 KB Output is correct
11 Correct 275 ms 26356 KB Output is correct
12 Correct 8 ms 12500 KB Output is correct
13 Correct 2773 ms 364040 KB Output is correct
14 Correct 6465 ms 366784 KB Output is correct
15 Correct 895 ms 362140 KB Output is correct
16 Execution timed out 8029 ms 382796 KB Time limit exceeded
17 Halted 0 ms 0 KB -