Submission #1293145

#TimeUsernameProblemLanguageResultExecution timeMemory
1293145TymondOlympic Bus (JOI20_ho_t4)C++20
0 / 100
1096 ms1908 KiB
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
#define fi first
#define se second
#define vi vector<int>
#define vll vector<long long>
#define pii pair<int, int>
#define pll pair<long long, long long>
#define pb push_back
#define mp make_pair
#define eb emplace_back
#define all(x) (x).begin(), (x).end()
#define sz(x) (int)(x).size()
mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
mt19937_64 rng64(chrono::high_resolution_clock::now().time_since_epoch().count());
inline int rand(int l,int r){return uniform_int_distribution<int>(l, r)(rng);}
inline ll rand(ll l,ll r){return uniform_int_distribution<ll>(l, r)(rng64);}
#ifdef DEBUG
auto&operator<<(auto&o,pair<auto,auto>p){return o<<"("<<p.first<<", "<<p.second<<")";}
auto operator<<(auto&o,auto x)->decltype(x.end(),o){o<<"{";int i=0;for(auto e:x)o<<","+!i++<<e;return o<<"}";}
#define debug(X...)cerr<<"["#X"]: ",[](auto...$){((cerr<<$<<"; "),...)<<endl;}(X)
#else
#define debug(...){}
#endif

struct custom_hash {
    static uint64_t splitmix64(uint64_t x) {
        x += 0x9e3779b97f4a7c15;
        x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
        x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
        return x ^ (x >> 31);
    }

    size_t operator()(uint64_t x) const {
        static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
        return splitmix64(x + FIXED_RANDOM);
    }
};

struct pair_hash{
  size_t operator()(const pair<int,int>&x)const{
    return hash<long long>()(((long long)x.first)^(((long long)x.second)<<32));
  }
}; 

struct Edge{
    int v, u, c, d;
    Edge(){
        v = u = c = d = -1;
    }

    Edge(int v1, int u1, int c1, int d1){
        v = v1;
        u = u1;
        c = c1;
        d = d1;
    }
};

const int MAXN = 207;
const int MAXM = 5e4 + 7;
const ll INF = 1e10;
vi g[2][MAXN];
ll dist[3][2][MAXN];
int back[3][2][MAXN];
Edge edges[MAXM];
int used[MAXN];
int n, m;
int special[MAXM];

void Dijkstra(int cur, int st, int rev = -1){
    int start = 1;
    if(st){
        start = n;
    }

    for(int i = 1; i <= n; i++){
        dist[cur][st][i] = INF;
        used[i] = 0;
    }
    dist[cur][st][start] = 0LL;
    for(int k = 1; k <= n; k++){
        int best = 1;
        for(int i = 1; i <= n; i++){
            if(!used[i] && (dist[cur][st][i] < dist[cur][st][best] || used[best])){
                best = i;
            }
        }

        if(used[best] || dist[cur][st][best] >= INF){
            break;
        }
        used[best] = 1;
        if(rev != -1 && best == edges[rev].u && dist[cur][st][edges[rev].v] > dist[cur][st][best] + edges[rev].c){
            dist[cur][st][edges[rev].v] = dist[cur][st][best] + edges[rev].c;
        }
        for(auto e : g[cur & 1][best]){
            if(rev == e){
                continue;
            }
            dist[cur][st][edges[e].u] = min(dist[cur][st][edges[e].u], dist[cur][st][best] + edges[e].c);
            if(dist[cur][st][edges[e].u] == dist[cur][st][best] + edges[e].c){
                back[cur][st][edges[e].u] = e;
            }
        }
    }

    int curr = n;
    if(st){
        curr = 1;
    }
    while(back[cur][st][curr]){
        special[back[cur][st][curr]] = 1;
        curr = edges[back[cur][st][curr]].v;
    }
}

void Dijkstra2(int cur, int st, int rev = -1){
    int start = 1;
    if(st){
        start = n;
    }

    for(int i = 1; i <= n; i++){
        dist[cur][st][i] = INF;
        used[i] = 0;
    }
    dist[cur][st][start] = 0LL;
    for(int k = 1; k <= n; k++){
        int best = 1;
        for(int i = 1; i <= n; i++){
            if(!used[i] && (dist[cur][st][i] < dist[cur][st][best] || used[best])){
                best = i;
            }
        }

        if(used[best] || dist[cur][st][best] >= INF){
            break;
        }
        used[best] = 1;
        if(rev != -1 && best == edges[rev].u && dist[cur][st][edges[rev].v] > dist[cur][st][best] + edges[rev].c){
            dist[cur][st][edges[rev].v] = dist[cur][st][best] + edges[rev].c;
        }
        for(auto e : g[cur & 1][best]){
            if(rev == e){
                continue;
            }
            dist[cur][st][edges[e].u] = min(dist[cur][st][edges[e].u], dist[cur][st][best] + edges[e].c);
        }
    }
}

int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(NULL);
    cout.tie(NULL);
        
    cin >> n >> m;
    for(int i = 1; i <= m; i++){
        int a, b, c, d;
        cin >> a >> b >> c >> d;
        g[0][a].pb(i);
        g[1][b].pb(i);
        edges[i] = Edge(a, b, c, d);
    }

    Dijkstra(0, 0);
    Dijkstra(0, 1);
    Dijkstra(1, 0);
    Dijkstra(1, 1);

    ll ans = (ll)dist[0][0][n] + dist[0][1][1];
    for(int i = 1; i <= m; i++){
       // cerr << "------\n";
        if(special[i]){
       //     cerr << "SPECIAL: " << i << '\n';
            Dijkstra2(2, 0, i);
            Dijkstra2(2, 1, i);

            ans = min(ans, (ll)dist[2][0][n] + dist[2][1][1] + edges[i].d);
        }else{
            ll now = min(dist[0][0][n], (ll)dist[0][0][edges[i].u] + edges[i].c + dist[1][1][edges[i].v]) + edges[i].d;
            now += min(dist[0][1][1], (ll)dist[0][1][edges[i].u] + edges[i].c + dist[1][0][edges[i].v]);
           // cerr << min(dist[0][1][1], dist[0][1][edges[i].u] + edges[i].c + dist[1][0][edges[i].v]) << '\n';
           // cerr << now << '\n';
            ans = min(ans, now);
        }
    }

    if(ans >= INF){
        cout << "-1\n";
    }else{
        cout << ans << '\n';
    }

    return 0;
}
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