Submission #958428

# Submission time Handle Problem Language Result Execution time Memory
958428 2024-04-05T19:09:08 Z BhavayGoyal Olympic Bus (JOI20_ho_t4) C++14
5 / 100
1000 ms 7180 KB
#include <bits/stdc++.h>
using namespace std;

#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;

template<class T> using oset = 
            tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;

#define int long long
#define ld long double
#define ar array
#define vi vector<int>
#define vii vector<vector<int>>
#define pii pair<int, int>
#define pb push_back
#define all(x) x.begin(), x.end()
#define f first
#define s second
#define endl "\n"

const int MOD = 1e9+7;
const int inf = 1e9;
const int linf = 1e15;

const int d4i[4]={-1, 0, 1, 0}, d4j[4]={0, 1, 0, -1};
const int d8i[8]={-1, -1, 0, 1, 1, 1, 0, -1}, d8j[8]={0, 1, 1, 1, 0, -1, -1, -1};

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());


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

const int N = 205, M = 50005;
int n, m, dist[N][N];
set<pii> g[N];
vii edges, shortestEdges;
map<pair<int, int>, bool> isShort;
map<pii, pii> edge;

pair<vi, vi> dijkstra(int source) {
    priority_queue<pii, vector<pii>, greater<>> q;
    vi vis(n+1, 0), dis(n+1, linf), 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});
            }
        }
    }
    return {dis, par};
}

void sol() {
    for (int i = 0; i < N; i++) for (int j = 0; j < N; j++) if (i != j) dist[i][j] = linf;

    cin >> n >> m;
    for (int i = 1; i <= m; i++) {
        int a, b, c, d; cin >> a >> b >> c >> d;
        dist[a][b] = c;
        edge[{a, b}] = {c, d};
        g[a].insert({b, c});
        edges.pb({a, b, c, d});
    }

    pair<vi, vi> x = dijkstra(1); vi dis = x.f, par = x.s;
    int c = n;
    while (par[c]) {
        pii temp = edge[{par[c], c}];
        shortestEdges.pb({par[c], c, temp.f, temp.s});
        isShort[{par[c], c}] = true;
        c = par[c];
    }

    x = dijkstra(n); dis = x.f, par = x.s;
    c = 1;
    while (par[c]) {
        pii temp = edge[{par[c], c}];
        shortestEdges.pb({par[c], c, temp.f, temp.s});
        isShort[{par[c], c}] = true;
        c = par[c];
    }

    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 = dist[1][n] + dist[n][1];
    pair<vi, vi> xx = dijkstra(1);
    pair<vi, vi> yy = dijkstra(n);
    int ans = xx.f[n] + yy.f[1];

    // for (auto i : edges) {
    //     int a = i[0], b = i[1], c = i[2], d = i[3];
    //     if (isShort[{a, b}]) continue;
    //     ans = min(ans, dist[1][n] + dist[n][b] + c + dist[a][1] + d);
    //     ans = min(ans, dist[n][1] + dist[1][b] + c + dist[a][n] + d);
    // }

    for (auto i : edges) {
        int a = i[0], b = i[1], c = i[2], d = i[3];
        g[a].erase({b, c});
        g[b].insert({a, c});
        pair<vi, vi> x = dijkstra(1);
        pair<vi, vi> y = dijkstra(n);
        ans = min(ans, x.f[n] + y.f[1] + d);
        g[b].erase({a, c});
        g[a].insert({b, c});
    }

    cout << (ans>=1e10?-1:ans) << endl;
}

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

    int t = 1;
    // cin >> t; 
    while (t--) {
        sol();
    }
    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 32 ms 856 KB Output is correct
2 Correct 8 ms 860 KB Output is correct
3 Correct 52 ms 1036 KB Output is correct
4 Correct 56 ms 1028 KB Output is correct
5 Correct 18 ms 860 KB Output is correct
6 Correct 8 ms 856 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 0 ms 604 KB Output is correct
9 Correct 16 ms 860 KB Output is correct
10 Correct 82 ms 1080 KB Output is correct
11 Correct 76 ms 860 KB Output is correct
12 Correct 77 ms 1092 KB Output is correct
13 Correct 29 ms 1068 KB Output is correct
14 Correct 34 ms 860 KB Output is correct
15 Correct 30 ms 860 KB Output is correct
16 Correct 35 ms 860 KB Output is correct
# Verdict Execution time Memory Grader output
1 Execution timed out 1045 ms 7180 KB Time limit exceeded
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 33 ms 860 KB Output is correct
2 Correct 8 ms 860 KB Output is correct
3 Execution timed out 1093 ms 7084 KB Time limit exceeded
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 32 ms 856 KB Output is correct
2 Correct 8 ms 860 KB Output is correct
3 Correct 52 ms 1036 KB Output is correct
4 Correct 56 ms 1028 KB Output is correct
5 Correct 18 ms 860 KB Output is correct
6 Correct 8 ms 856 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 0 ms 604 KB Output is correct
9 Correct 16 ms 860 KB Output is correct
10 Correct 82 ms 1080 KB Output is correct
11 Correct 76 ms 860 KB Output is correct
12 Correct 77 ms 1092 KB Output is correct
13 Correct 29 ms 1068 KB Output is correct
14 Correct 34 ms 860 KB Output is correct
15 Correct 30 ms 860 KB Output is correct
16 Correct 35 ms 860 KB Output is correct
17 Execution timed out 1045 ms 7180 KB Time limit exceeded
18 Halted 0 ms 0 KB -