oj.uz

Submission #958187

# Submission time Handle Problem Language Result Execution time Memory
958187 2024-04-05T05:57:51 Z peterandvoi Olympic Bus (JOI20_ho_t4) C++17
100 / 100
 795 ms 5104 KB 
#include <bits/stdc++.h>

using namespace std;

#ifdef ngu
#include "debug.h"
#else
#define debug(...) 42
#endif

#define int long long

const int N = 205;
const int M = 50005;
const int INF = (int) 1e17;

int n, m;
int D[N], d[N][N];
int from[N];
int c[M], cost[M];
bool on_tree[M];
vector<pair<int, int>> g[N];
pair<int, int> edge[M];

void dijkstra(int s, int d[], vector<pair<int, int>> g[N]) {
    fill(d + 1, d + n + 1, INF);
    using T = pair<int, int>;
    priority_queue<T, vector<T>, greater<T>> pq;
    d[s] = 0;
    pq.emplace(0, s);
    while (pq.size()) {
        auto [x, u] = pq.top();
        pq.pop();
        if (d[u] == x) {
            for (auto [v, id] : g[u]) {
                if (d[v] > x + c[id]) {
                    from[v] = id;
                    pq.emplace(d[v] = x + c[id], v);
                }
            }
        }
    }
    for (int i = 1; i <= n; ++i) {
        on_tree[from[i]] = true;
    }
}

int get_dist(int s, int t) {
    fill(D + 1, D + n + 1, INF);
    using T = pair<int, int>;
    priority_queue<T, vector<T>, greater<T>> pq;
    D[s] = 0;
    pq.emplace(0, s);
    while (pq.size()) {
        auto [x, u] = pq.top();
        pq.pop();
        if (D[u] == x) {
            for (auto [v, id] : g[u]) {
                if (D[v] > x + c[id]) {
                    pq.emplace(D[v] = x + c[id], 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;
        }
    }
}

signed main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    #ifdef ngu
    freopen("test.inp", "r", stdin);
    freopen("test.out", "w", stdout);
    #endif
    cin >> n >> m;
    for (int i = 1; i <= n; ++i) {
        for (int j = 1; j <= n; ++j) {
            if (i != j) {
                d[i][j] = INF;
            }
        }
    }
    for (int i = 1; i <= m; ++i) {
        int u, v;
        cin >> u >> v >> c[i] >> cost[i];
        edge[i] = {u, v};
        d[u][v] = min(d[u][v], c[i]);
        add(u, v, i);
    }
    dijkstra(1, D, g);
    dijkstra(n, D, g);
    for (int mid = 1; mid <= n; ++mid) {
        for (int i = 1; i <= n; ++i) {
            for (int j = 1; j <= n; ++j) {
                d[i][j] = min(d[i][j], d[i][mid] + d[mid][j]);
            }
        }
    }
    int res = 3 * INF;
    if (d[1][n] < INF && d[n][1] < INF) {
        res = d[1][n] + d[n][1];
    }
    for (int i = 1; i <= m; ++i) {
        auto [u, v] = edge[i];
        if (on_tree[i]) {
            del(u, v, i);
            add(v, u, i);
            int A = get_dist(1, n);
            int B = get_dist(n, 1);
            if (A < INF && B < INF) {
                res = min(res, A + B + cost[i]);
            }
            del(v, u, i);
            add(u, v, i);
        } else {
            int A = min(d[1][n], d[1][v] + c[i] + d[u][n]);
            int B = min(d[n][1], d[n][v] + c[i] + d[u][1]);
            if (A < INF && B < INF) {
                res = min(res, A + B + cost[i]);
            }
        }
    }
    cout << (res == 3 * INF ? -1 : res);
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 860 KB Output is correct
2 Correct 8 ms 604 KB Output is correct
3 Correct 19 ms 856 KB Output is correct
4 Correct 20 ms 860 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 8 ms 604 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 21 ms 860 KB Output is correct
11 Correct 24 ms 856 KB Output is correct
12 Correct 24 ms 860 KB Output is correct
13 Correct 10 ms 860 KB Output is correct
14 Correct 14 ms 884 KB Output is correct
15 Correct 13 ms 880 KB Output is correct
16 Correct 14 ms 640 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 112 ms 3764 KB Output is correct
2 Correct 118 ms 3672 KB Output is correct
3 Correct 110 ms 3760 KB Output is correct
4 Correct 16 ms 856 KB Output is correct
5 Correct 11 ms 856 KB Output is correct
6 Correct 8 ms 604 KB Output is correct
7 Correct 8 ms 840 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 40 ms 4848 KB Output is correct
10 Correct 35 ms 4700 KB Output is correct
11 Correct 78 ms 5104 KB Output is correct
12 Correct 76 ms 4948 KB Output is correct
13 Correct 81 ms 4956 KB Output is correct
14 Correct 62 ms 4952 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 860 KB Output is correct
2 Correct 8 ms 604 KB Output is correct
3 Correct 69 ms 2908 KB Output is correct
4 Correct 8 ms 604 KB Output is correct
5 Correct 84 ms 3688 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 0 ms 600 KB Output is correct
8 Correct 33 ms 3672 KB Output is correct
9 Correct 37 ms 3676 KB Output is correct
10 Correct 61 ms 3672 KB Output is correct
11 Correct 61 ms 3476 KB Output is correct
12 Correct 59 ms 3672 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 59 ms 4736 KB Output is correct
20 Correct 53 ms 4440 KB Output is correct
21 Correct 62 ms 4444 KB Output is correct
22 Correct 60 ms 4632 KB Output is correct

Subtask #4
63.0 / 63.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 860 KB Output is correct
2 Correct 8 ms 604 KB Output is correct
3 Correct 19 ms 856 KB Output is correct
4 Correct 20 ms 860 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 8 ms 604 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 21 ms 860 KB Output is correct
11 Correct 24 ms 856 KB Output is correct
12 Correct 24 ms 860 KB Output is correct
13 Correct 10 ms 860 KB Output is correct
14 Correct 14 ms 884 KB Output is correct
15 Correct 13 ms 880 KB Output is correct
16 Correct 14 ms 640 KB Output is correct
17 Correct 112 ms 3764 KB Output is correct
18 Correct 118 ms 3672 KB Output is correct
19 Correct 110 ms 3760 KB Output is correct
20 Correct 16 ms 856 KB Output is correct
21 Correct 11 ms 856 KB Output is correct
22 Correct 8 ms 604 KB Output is correct
23 Correct 8 ms 840 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 40 ms 4848 KB Output is correct
26 Correct 35 ms 4700 KB Output is correct
27 Correct 78 ms 5104 KB Output is correct
28 Correct 76 ms 4948 KB Output is correct
29 Correct 81 ms 4956 KB Output is correct
30 Correct 62 ms 4952 KB Output is correct
31 Correct 12 ms 860 KB Output is correct
32 Correct 8 ms 604 KB Output is correct
33 Correct 69 ms 2908 KB Output is correct
34 Correct 8 ms 604 KB Output is correct
35 Correct 84 ms 3688 KB Output is correct
36 Correct 0 ms 344 KB Output is correct
37 Correct 0 ms 600 KB Output is correct
38 Correct 33 ms 3672 KB Output is correct
39 Correct 37 ms 3676 KB Output is correct
40 Correct 61 ms 3672 KB Output is correct
41 Correct 61 ms 3476 KB Output is correct
42 Correct 59 ms 3672 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 1 ms 344 KB Output is correct
47 Correct 1 ms 348 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 59 ms 4736 KB Output is correct
50 Correct 53 ms 4440 KB Output is correct
51 Correct 62 ms 4444 KB Output is correct
52 Correct 60 ms 4632 KB Output is correct
53 Correct 117 ms 4696 KB Output is correct
54 Correct 125 ms 4508 KB Output is correct
55 Correct 120 ms 4700 KB Output is correct
56 Correct 23 ms 772 KB Output is correct
57 Correct 19 ms 860 KB Output is correct
58 Correct 78 ms 3928 KB Output is correct
59 Correct 95 ms 3920 KB Output is correct
60 Correct 123 ms 3672 KB Output is correct
61 Correct 74 ms 3928 KB Output is correct
62 Correct 87 ms 3724 KB Output is correct
63 Correct 127 ms 3672 KB Output is correct
64 Correct 586 ms 4652 KB Output is correct
65 Correct 605 ms 4376 KB Output is correct
66 Correct 795 ms 4416 KB Output is correct
67 Correct 11 ms 3292 KB Output is correct
68 Correct 40 ms 4700 KB Output is correct
69 Correct 39 ms 4700 KB Output is correct
70 Correct 84 ms 4904 KB Output is correct
71 Correct 87 ms 4696 KB Output is correct
72 Correct 85 ms 4700 KB Output is correct
73 Correct 88 ms 4952 KB Output is correct
74 Correct 84 ms 4892 KB Output is correct