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Submission #820036

# Submission time Handle Problem Language Result Execution time Memory
820036 2023-08-10T18:19:34 Z vjudge1 Olympic Bus (JOI20_ho_t4) C++17
100 / 100
 159 ms 4180 KB 
#include<bits/stdc++.h>

using namespace std;
using ll = long long;

const int N = 1000;
const int M = 100000;
const ll INF = 1e18;

int n, m;
vector<pair<int, int>> g[2][N];
ll C[M], D[M];
pair<int, int> edges[M];

vector<vector<ll>> dist, par;

vector<ll> dijkstra(int s, int b, bool save = 0) {
    vector<ll> d(n + 1, INF);
    vector<ll> p(n + 1, -1);
    d[s] = 0;
    bool processed[n + 1] = {};
    while(1) {
        s = -1;
        for(int i = 1; i <= n; i++) {
            if(processed[i]) continue;
            if(s == -1 || d[s] > d[i]) 
                s = i;
        }
        if(s == -1) break;
        processed[s] = 1;

        for(auto [to, i] : g[b][s]) {
            if(d[to] > d[s] + C[i]) {
                p[to] = i;
                d[to] = d[s] + C[i];
            }
        }
    }
    if(save) {
        dist.push_back(d);
        par.push_back(p);
    }
    return d;
}

int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);cout.tie(0);
    cin >> n >> m;
    for(int i = 0; i < m; i++) {
        int u, v;
        cin >> u >> v;
        edges[i] = {u, v};
        cin >> C[i] >> D[i];
        g[0][u].push_back({v, i});
        g[1][v].push_back({u, i});
    }
    dijkstra(1, 0, 1);
    dijkstra(n, 0, 1);
    dijkstra(1, 1, 1);
    dijkstra(n, 1, 1);
    int cur = n;
    set<int> way1, way2;
    while(par[0][cur] != -1) {
        way1.insert(par[0][cur]);
        cur = edges[par[0][cur]].first;
    }
    if(cur != 1) way1.clear();
    cur = 1;
    while(par[1][cur] != -1) {
        way2.insert(par[1][cur]);
        cur = edges[par[1][cur]].first;
    }
    if(cur != n) way2.clear();
    ll res = dist[0][n] + dist[1][1];

    for(int i = 0; i < m; i++) {
        ll ans = INF;
        auto [u, v] = edges[i];
        
        if(!way1.count(i) && !way2.count(i)) {
            ans = min(ans, dist[1][v] + dist[2][u] + dist[0][n] + C[i] + D[i]);
            ans = min(ans, dist[0][v] + dist[3][u] + dist[1][1] + C[i] + D[i]);
            ans = min(ans, dist[0][v] + dist[3][u] + dist[1][v] + dist[2][u] + 2 * C[i] + D[i]);
        }
        else {
            g[0][u].erase(find(g[0][u].begin(), g[0][u].end(), make_pair(v, i)));
            g[0][v].push_back({u, i});
            
            auto d1 = dijkstra(1, 0), d2 = dijkstra(n, 0);
            ans = min(ans, d1[n] + d2[1] + D[i]);
            g[0][u].push_back({v, i});
            g[0][v].erase(find(g[0][v].begin(), g[0][v].end(), make_pair(u, i)));
        }
        res = min(res, ans);
    }
    if(res >= INF) res = -1;
    cout << res;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 388 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 3 ms 468 KB Output is correct
4 Correct 4 ms 468 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 37 ms 468 KB Output is correct
11 Correct 52 ms 488 KB Output is correct
12 Correct 46 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 3 ms 468 KB Output is correct
15 Correct 2 ms 380 KB Output is correct
16 Correct 3 ms 468 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 3832 KB Output is correct
2 Correct 17 ms 3864 KB Output is correct
3 Correct 17 ms 4012 KB Output is correct
4 Correct 3 ms 468 KB Output is correct
5 Correct 4 ms 392 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 372 KB Output is correct
9 Correct 14 ms 4052 KB Output is correct
10 Correct 16 ms 3964 KB Output is correct
11 Correct 23 ms 4104 KB Output is correct
12 Correct 17 ms 4008 KB Output is correct
13 Correct 17 ms 3944 KB Output is correct
14 Correct 17 ms 4180 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 468 KB Output is correct
2 Correct 2 ms 340 KB Output is correct
3 Correct 18 ms 2956 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 15 ms 3792 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 13 ms 3796 KB Output is correct
9 Correct 13 ms 3668 KB Output is correct
10 Correct 14 ms 3720 KB Output is correct
11 Correct 14 ms 3736 KB Output is correct
12 Correct 14 ms 3744 KB Output is correct
13 Correct 1 ms 360 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 0 ms 376 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 16 ms 3836 KB Output is correct
20 Correct 14 ms 3796 KB Output is correct
21 Correct 14 ms 3796 KB Output is correct
22 Correct 14 ms 3776 KB Output is correct

Subtask #4
63.0 / 63.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 388 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 3 ms 468 KB Output is correct
4 Correct 4 ms 468 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 37 ms 468 KB Output is correct
11 Correct 52 ms 488 KB Output is correct
12 Correct 46 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 3 ms 468 KB Output is correct
15 Correct 2 ms 380 KB Output is correct
16 Correct 3 ms 468 KB Output is correct
17 Correct 17 ms 3832 KB Output is correct
18 Correct 17 ms 3864 KB Output is correct
19 Correct 17 ms 4012 KB Output is correct
20 Correct 3 ms 468 KB Output is correct
21 Correct 4 ms 392 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 0 ms 372 KB Output is correct
25 Correct 14 ms 4052 KB Output is correct
26 Correct 16 ms 3964 KB Output is correct
27 Correct 23 ms 4104 KB Output is correct
28 Correct 17 ms 4008 KB Output is correct
29 Correct 17 ms 3944 KB Output is correct
30 Correct 17 ms 4180 KB Output is correct
31 Correct 3 ms 468 KB Output is correct
32 Correct 2 ms 340 KB Output is correct
33 Correct 18 ms 2956 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 15 ms 3792 KB Output is correct
36 Correct 0 ms 340 KB Output is correct
37 Correct 0 ms 340 KB Output is correct
38 Correct 13 ms 3796 KB Output is correct
39 Correct 13 ms 3668 KB Output is correct
40 Correct 14 ms 3720 KB Output is correct
41 Correct 14 ms 3736 KB Output is correct
42 Correct 14 ms 3744 KB Output is correct
43 Correct 1 ms 360 KB Output is correct
44 Correct 0 ms 340 KB Output is correct
45 Correct 0 ms 340 KB Output is correct
46 Correct 0 ms 376 KB Output is correct
47 Correct 0 ms 340 KB Output is correct
48 Correct 0 ms 340 KB Output is correct
49 Correct 16 ms 3836 KB Output is correct
50 Correct 14 ms 3796 KB Output is correct
51 Correct 14 ms 3796 KB Output is correct
52 Correct 14 ms 3776 KB Output is correct
53 Correct 16 ms 3772 KB Output is correct
54 Correct 18 ms 3724 KB Output is correct
55 Correct 17 ms 3776 KB Output is correct
56 Correct 3 ms 468 KB Output is correct
57 Correct 2 ms 384 KB Output is correct
58 Correct 74 ms 3056 KB Output is correct
59 Correct 90 ms 3032 KB Output is correct
60 Correct 102 ms 2972 KB Output is correct
61 Correct 68 ms 3028 KB Output is correct
62 Correct 77 ms 3028 KB Output is correct
63 Correct 133 ms 3068 KB Output is correct
64 Correct 113 ms 3156 KB Output is correct
65 Correct 130 ms 3236 KB Output is correct
66 Correct 159 ms 3180 KB Output is correct
67 Correct 10 ms 2896 KB Output is correct
68 Correct 14 ms 3936 KB Output is correct
69 Correct 14 ms 3960 KB Output is correct
70 Correct 24 ms 4064 KB Output is correct
71 Correct 17 ms 3924 KB Output is correct
72 Correct 16 ms 3976 KB Output is correct
73 Correct 17 ms 3976 KB Output is correct
74 Correct 18 ms 4016 KB Output is correct