Submission #958492

#	Time	Username	Problem	Language	Result	Execution time	Memory
958492		BhavayGoyal	Olympic Bus (JOI20_ho_t4)	C++14	37 / 100	1043 ms	7252 KiB

ho_t4

#include <bits/stdc++.h>
using namespace std;

#define int long long
#define vi vector<int>
#define vii vector<vector<int>>
#define pii pair<int, int>
#define pb push_back
#define f first
#define s second
#define endl "\n"

const int inf = 1e15;

// -------------------------------------------------- Main Code --------------------------------------------------

const int N = 201, M = 50001;
int n, m, aa[M], bb[M], cc[M], dd[M], D[N];
multiset<pii> g[N];
map<pair<int, int>, bool> isShort;

void dijkstra(int source) {
    priority_queue<pii, vector<pii>, greater<>> q;
    vi vis(n+1, 0), dis(n+1, inf), par(n+1);
    q.push({0, source});
    dis[source] = 0;
    while (!q.empty()) {
        pii f = q.top(); q.pop();
        int src = f.s;
        if (vis[src]) continue;
        vis[src] = true;

        for (auto child : g[src]) {
            int ch = child.f, wt = child.s;
            if (dis[ch] > dis[src] + wt) {
                par[ch] = src;
                dis[ch] = dis[src] + wt;
                q.push({dis[ch], ch});
            }
        }
    }

    int x = (source==1?n:1);
    while (par[x]) {
        isShort[{par[x], x}] = true;
        x = par[x];
    }
}

int get_dist(int s, int t) {
    priority_queue<pii, vector<pii>, greater<>> q;
    vi vis(n+1, 0), dis(n+1, inf);
    q.push({0, s});
    dis[s] = 0;
    while (!q.empty()) {
        pii f = q.top(); q.pop();
        int src = f.s;
        if (vis[src]) continue;
        vis[src] = true;

        for (auto child : g[src]) {
            int ch = child.f, wt = child.s;
            if (dis[ch] > dis[src] + wt) {
                dis[ch] = dis[src] + wt;
                q.push({dis[ch], ch});
            }
        }
    }

    return dis[t];
}


void sol() {
    cin >> n >> m;
    vii dist(n+1, vi(n+1, inf));
    for (int i = 1; i <= n; i++) dist[i][i] = 0;

    for (int i = 1; i <= m; i++) {
        cin >> aa[i] >> bb[i] >> cc[i] >> dd[i];
        dist[aa[i]][bb[i]] = min(dist[aa[i]][bb[i]], cc[i]);
        g[aa[i]].insert({bb[i], cc[i]});
    }

    dijkstra(1);
    dijkstra(n);
    
    for (int k = 1; k <= n; ++k) {
        for (int i = 1; i <= n; ++i) {
            for (int j = 1; j <= n; ++j) {
                dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j]);
            }
        }
    }

    int ans = min(inf, dist[1][n] + dist[n][1]);

    for (int i = 1; i <= m; i++) {
        int a = aa[i], b = bb[i], c = cc[i], d = dd[i];
        if (isShort[{a, b}]) {
            g[a].erase(g[a].find({b, c}));
            g[b].insert({a, c});
            ans = min(ans, get_dist(1, n) + get_dist(n, 1) + d);
            g[b].erase(g[b].find({a, c}));
            g[a].insert({b, c});
        }
        else {
            int A = min(dist[1][n], dist[1][b] + c + dist[a][n]);
            int B = min(dist[n][1], dist[n][b] + c + dist[a][1]);
            ans = min(ans, A + B + d);
        }
    }

    cout << (ans==inf?-1:ans) << endl;
}

signed main () {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);

    int t = 1;
    // cin >> t; 
    while (t--) {
        sol();
    }
    return 0;
}

• Subtask 1: 5 / 5
• Subtask 2: 11 / 11
• Subtask 3: 21 / 21
• Subtask 4: 0 / 63