Submission #1181158

#TimeUsernameProblemLanguageResultExecution timeMemory
1181158Szymon_PilipczukOlympic Bus (JOI20_ho_t4)C++20
5 / 100
1096 ms14876 KiB
#pragma GCC optimize("O3")
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define int ll
int n,m;
int k[50000][4];
ll inf = 1e12;
ll dis[4][200];
vector<int> dis3[4][200];
map<vector<int>,int> kr;
vector<vector<vector<int>>> gr[2];
priority_queue<vector<int>,vector<vector<int>>,greater<vector<int>>> pq;
void dk(int v,int c,int p)
{
    for(vector<int> i : gr[p%2][v])
    {
        if(dis[p][i[0]] > c+i[1])
        {
            pq.push({c+i[1],i[0],p});
            dis[p][i[0]] = i[1]+c;
            if(p%2 == 0)
            {
                dis3[p][i[0]] = {v,i[0],i[1],i[2]};
            }
            else
            {
                dis3[p][i[0]] = {i[0],v,i[1],i[2]};
            }

        }
    }
}
ll dis2[200];
void dk2(int c,int v)
{
    for(vector<int> i : gr[0][v])
    {
        if(dis2[i[0]] > c+i[1])
        {
            pq.push({c+i[1],i[0]});
            dis2[i[0]] = c+i[1];
        }
    }
}
void del()
{
    for(int i = 0;i<n;i++)
    {
        dis2[i] = inf;
    }
}
int32_t main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    cin>>n>>m;
    gr[0].resize(n);
    gr[1].resize(n);
    for(int i = 0;i<4;i++)
    {
        for(int j = 0;j<n;j++)
        {
            dis[i][j] = inf;
        }
    }
    for(int i = 0;i<m;i++)
    {
        int u,v,c,d;
        cin>>u>>v>>c>>d;
        u--;v--;
        kr[{u,v,c,d}] = i;
        gr[0][u].push_back({v,c,d});
        gr[1][v].push_back({u,c,d});
        k[i][0] = u;
        k[i][1] = v;
        k[i][2] = c;
        k[i][3] = d;
    }
    pq.push({0,0,0});
    pq.push({0,0,1});
    pq.push({0,n-1,2});
    pq.push({0,n-1,3});
    dis[0][0]= 0;
    dis[1][0] = 0;
    dis[2][n-1] = 0;
    dis[3][n-1] = 0;
    while(!pq.empty())
    {
        int a,b,c;
        a = pq.top()[1];
        b = pq.top()[0];
        c = pq.top()[2];
        pq.pop();
        if(dis[c][a] == b)
        {
            dk(a,b,c);
        }
    }
    unordered_set<int> sps;
    for(int i = 0;i<2;i++)
    {
        for(int j = 1;j<n;j++)
        {
            if(dis3[i][j].size() != 0)
            {
                sps.insert(kr[dis3[i][j]]);
            }
        }
    }
    for(int i = 2;i<4;i++)
    {
        for(int j = 0;j<n-1;j++)
        {
            if(dis3[i][j].size() != 0)
            {
                sps.insert(kr[dis3[i][j]]);
            }
        }
    }
    ll ans = dis[0][n-1]+dis[2][0];
    dis[2][n-1] = 0;
    dis[3][n-1] = 0;
    dis[0][0] = 0;
    dis[1][0] = 0;
    for(int i = 0;i<m;i++)
    {
        if(sps.find(i) == sps.end())
        {
            ans = min(ans,(ll)k[i][3]+min(dis[0][n-1],dis[0][k[i][1]]+k[i][2]+dis[3][k[i][0]])+min(dis[2][0],dis[2][k[i][1]]+k[i][2]+dis[1][k[i][0]]));
        }
    }
    del();
    for(int i = 0;i<n;i++)
    {
        for(int q = 0;q< gr[0][i].size();q++)
        {
            vector<int> j = gr[0][i][q];
            if(sps.find(kr[{i,j[0],j[1],j[2]}]) != sps.end())
            {

                int cu = j[0];
                ll cans = j[2];
                gr[0][i][q][0] = i;
                gr[0][cu].push_back({i,j[1]});
                pq.push({0,0});
                dis2[0] = 0;
                while(!pq.empty())
                {
                    int a = pq.top()[0],b = pq.top()[1];
                    pq.pop();
                    if(dis2[b] == a)
                    {
                        dk2(a,b);
                    }
                }
                cans += dis2[n-1];
                del();
                pq.push({0,n-1});
                dis2[n-1] =0 ;
                while(!pq.empty())
                {
                    int a = pq.top()[0],b = pq.top()[1];
                    pq.pop();
                    if(dis2[b]== a)
                    {
                        dk2(a,b);
                    }

                }
                cans+=dis2[0];
                del();
                gr[0][i][q][0] = cu;
                gr[0][cu].pop_back();
                ans = min(ans,cans);
            }
        }
    }
    if(ans >= inf)
    {
        cout<<-1<<"\n";
    }
    else
    {
        cout<<ans<<"\n";
    }
}

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