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Submission #958512

# Submission time Handle Problem Language Result Execution time Memory
958512 2024-04-05T22:45:45 Z BhavayGoyal Olympic Bus (JOI20_ho_t4) C++14
100 / 100
 767 ms 4956 KB 
#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], dis[N], vis[N], dist[N][N], isShort[M];
// set<pii> g[N];
vector<pair<int, int>> g[N];

void dijkstra(int source) {
    priority_queue<pii, vector<pii>, greater<>> q;
    vi vis(n+1, 0), dis(n+1, inf), par(n+1), idx(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 = cc[child.s];
            if (dis[ch] > dis[src] + wt) {
                par[ch] = src;
                idx[ch] = child.s;
                dis[ch] = dis[src] + wt;
                q.push({dis[ch], ch});
            }
        }
    }

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

int get_dist(int s, int t) {
    vi D(n+1, inf);
    priority_queue<pii, vector<pii>, greater<pii>> pq;
    D[s] = 0;
    pq.emplace(0, s);
    while (pq.size()) {
        pii temp = pq.top(); int x = temp.f, u = temp.s;
        pq.pop();
        if (D[u] == x) {
            for (pii child : g[u]) {
                int v = child.f, wt = cc[child.s];
                if (D[v] > x + wt) {
                    pq.emplace(D[v] = x + wt, v);
                }
            }
        }
    }
    return D[t];
}

void add(int u, int v, int id) {
    g[u].emplace_back(v, id);
}
 
void del(int u, int v, int id) {
    for (auto &x : g[u]) {
        if (x == make_pair(v, id)) {
            swap(x, g[u].back());
            g[u].pop_back();
            break;
        }
    }
}

void sol() {
    cin >> n >> m;
    for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) if (i != j) dist[i][j] = inf;

    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], i});
        add(aa[i], bb[i], 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[i]) {
            del(a, b, i);
            add(b, a, i);
            // g[a].erase(g[a].find({b, i}));
            // g[b].insert({a, i});
            ans = min(ans, get_dist(1, n) + get_dist(n, 1) + d);
            // g[b].erase(g[b].find({a, i}));
            // g[a].insert({b, i});
            del(b, a, i);
            add(a, b, i);
        }
        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
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 2396 KB Output is correct
2 Correct 7 ms 2392 KB Output is correct
3 Correct 8 ms 2396 KB Output is correct
4 Correct 8 ms 2396 KB Output is correct
5 Correct 1 ms 2392 KB Output is correct
6 Correct 7 ms 2528 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 20 ms 2576 KB Output is correct
11 Correct 23 ms 2404 KB Output is correct
12 Correct 22 ms 2396 KB Output is correct
13 Correct 10 ms 2392 KB Output is correct
14 Correct 8 ms 2396 KB Output is correct
15 Correct 8 ms 2568 KB Output is correct
16 Correct 8 ms 2392 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 3932 KB Output is correct
2 Correct 22 ms 3928 KB Output is correct
3 Correct 22 ms 3676 KB Output is correct
4 Correct 8 ms 2392 KB Output is correct
5 Correct 8 ms 2396 KB Output is correct
6 Correct 9 ms 2544 KB Output is correct
7 Correct 7 ms 2392 KB Output is correct
8 Correct 1 ms 2392 KB Output is correct
9 Correct 27 ms 3672 KB Output is correct
10 Correct 20 ms 3676 KB Output is correct
11 Correct 22 ms 3904 KB Output is correct
12 Correct 22 ms 3928 KB Output is correct
13 Correct 21 ms 3932 KB Output is correct
14 Correct 22 ms 3932 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 2392 KB Output is correct
2 Correct 7 ms 2592 KB Output is correct
3 Correct 17 ms 3420 KB Output is correct
4 Correct 8 ms 2396 KB Output is correct
5 Correct 19 ms 3676 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 19 ms 3676 KB Output is correct
9 Correct 18 ms 3752 KB Output is correct
10 Correct 22 ms 3728 KB Output is correct
11 Correct 19 ms 3676 KB Output is correct
12 Correct 19 ms 3932 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 0 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 19 ms 3932 KB Output is correct
20 Correct 19 ms 3676 KB Output is correct
21 Correct 19 ms 3676 KB Output is correct
22 Correct 20 ms 3676 KB Output is correct

Subtask #4
63.0 / 63.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 2396 KB Output is correct
2 Correct 7 ms 2392 KB Output is correct
3 Correct 8 ms 2396 KB Output is correct
4 Correct 8 ms 2396 KB Output is correct
5 Correct 1 ms 2392 KB Output is correct
6 Correct 7 ms 2528 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 20 ms 2576 KB Output is correct
11 Correct 23 ms 2404 KB Output is correct
12 Correct 22 ms 2396 KB Output is correct
13 Correct 10 ms 2392 KB Output is correct
14 Correct 8 ms 2396 KB Output is correct
15 Correct 8 ms 2568 KB Output is correct
16 Correct 8 ms 2392 KB Output is correct
17 Correct 21 ms 3932 KB Output is correct
18 Correct 22 ms 3928 KB Output is correct
19 Correct 22 ms 3676 KB Output is correct
20 Correct 8 ms 2392 KB Output is correct
21 Correct 8 ms 2396 KB Output is correct
22 Correct 9 ms 2544 KB Output is correct
23 Correct 7 ms 2392 KB Output is correct
24 Correct 1 ms 2392 KB Output is correct
25 Correct 27 ms 3672 KB Output is correct
26 Correct 20 ms 3676 KB Output is correct
27 Correct 22 ms 3904 KB Output is correct
28 Correct 22 ms 3928 KB Output is correct
29 Correct 21 ms 3932 KB Output is correct
30 Correct 22 ms 3932 KB Output is correct
31 Correct 8 ms 2392 KB Output is correct
32 Correct 7 ms 2592 KB Output is correct
33 Correct 17 ms 3420 KB Output is correct
34 Correct 8 ms 2396 KB Output is correct
35 Correct 19 ms 3676 KB Output is correct
36 Correct 1 ms 2396 KB Output is correct
37 Correct 0 ms 2396 KB Output is correct
38 Correct 19 ms 3676 KB Output is correct
39 Correct 18 ms 3752 KB Output is correct
40 Correct 22 ms 3728 KB Output is correct
41 Correct 19 ms 3676 KB Output is correct
42 Correct 19 ms 3932 KB Output is correct
43 Correct 1 ms 2396 KB Output is correct
44 Correct 1 ms 2396 KB Output is correct
45 Correct 0 ms 2396 KB Output is correct
46 Correct 1 ms 2396 KB Output is correct
47 Correct 1 ms 2396 KB Output is correct
48 Correct 1 ms 2396 KB Output is correct
49 Correct 19 ms 3932 KB Output is correct
50 Correct 19 ms 3676 KB Output is correct
51 Correct 19 ms 3676 KB Output is correct
52 Correct 20 ms 3676 KB Output is correct
53 Correct 22 ms 3728 KB Output is correct
54 Correct 24 ms 3676 KB Output is correct
55 Correct 27 ms 4188 KB Output is correct
56 Correct 8 ms 2396 KB Output is correct
57 Correct 8 ms 2396 KB Output is correct
58 Correct 74 ms 3512 KB Output is correct
59 Correct 92 ms 3636 KB Output is correct
60 Correct 125 ms 3420 KB Output is correct
61 Correct 72 ms 3416 KB Output is correct
62 Correct 82 ms 3420 KB Output is correct
63 Correct 115 ms 3620 KB Output is correct
64 Correct 543 ms 4284 KB Output is correct
65 Correct 582 ms 4148 KB Output is correct
66 Correct 767 ms 4416 KB Output is correct
67 Correct 10 ms 4312 KB Output is correct
68 Correct 21 ms 4956 KB Output is correct
69 Correct 20 ms 4956 KB Output is correct
70 Correct 23 ms 4956 KB Output is correct
71 Correct 23 ms 4916 KB Output is correct
72 Correct 21 ms 4956 KB Output is correct
73 Correct 22 ms 4952 KB Output is correct
74 Correct 23 ms 4956 KB Output is correct