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Submission #1102454

# Submission time Handle Problem Language Result Execution time Memory
1102454 2024-10-18T07:25:18 Z ShadowShark Airplane (NOI23_airplane) C++17
100 / 100
 247 ms 21508 KB 
#include <bits/stdc++.h>
using namespace std;
#define pii pair<int, int>

const int maxN = 2e5 + 5, inf = 1e9;
int n, m, a[maxN]; pii dis[3][maxN];
vector<int> adj[maxN];

void dijkstra(int type, int st) {
    priority_queue<pair<pii, int>, vector<pair<pii, int>>, greater<pair<pii, int>>> pq;
    dis[type][st] = {0, 0};
    pq.push({dis[type][st], st});

    while (pq.size() > 0) {
        int len = pq.top().first.first, height = pq.top().first.second, u = pq.top().second; pq.pop();

        if (dis[type][u].first != len || dis[type][u].second != height) continue;

        for (auto v: adj[u]) {
            pair<int, int> nw = {len + max(1, a[v] - len), max(height, a[v])};

            if (dis[type][v] > nw) {
                dis[type][v] = nw;
                pq.push({nw, v});
            }
        }
    }
}

int main() {
    ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);

    cin >> n >> m;

    for (int i = 1; i <= n; i++) {
        cin >> a[i];
        dis[1][i] = dis[2][i] = {inf, 0};
    }

    for (int i = 1; i <= m; i++) {
        int u, v;
        cin >> u >> v;

        adj[u].push_back(v);
        adj[v].push_back(u);
    }

    dijkstra(1, 1);
    dijkstra(2, n);

    int ans = inf;
    for (int i = 1; i <= n; i++)
        if (dis[1][i].second == a[i] && dis[2][i].second == a[i])
            ans = min(ans, dis[1][i].first + dis[2][i].first);

    cout << ans;
    return 0;
}

Subtask #1
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8784 KB Output is correct
2 Correct 49 ms 16908 KB Output is correct
3 Correct 52 ms 16712 KB Output is correct
4 Correct 52 ms 16872 KB Output is correct
5 Correct 52 ms 16708 KB Output is correct
6 Correct 52 ms 16712 KB Output is correct
7 Correct 51 ms 16712 KB Output is correct
8 Correct 2 ms 8952 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8956 KB Output is correct
2 Correct 2 ms 8952 KB Output is correct
3 Correct 2 ms 8784 KB Output is correct
4 Correct 2 ms 8784 KB Output is correct
5 Correct 2 ms 8784 KB Output is correct
6 Correct 2 ms 8784 KB Output is correct
7 Correct 3 ms 8784 KB Output is correct
8 Correct 4 ms 8784 KB Output is correct
9 Correct 2 ms 8784 KB Output is correct
10 Correct 3 ms 8784 KB Output is correct
11 Correct 3 ms 8784 KB Output is correct
12 Correct 3 ms 8784 KB Output is correct
13 Correct 3 ms 8784 KB Output is correct
14 Correct 3 ms 8956 KB Output is correct
15 Correct 4 ms 8784 KB Output is correct
16 Correct 4 ms 8952 KB Output is correct
17 Correct 3 ms 8784 KB Output is correct
18 Correct 2 ms 8784 KB Output is correct

Subtask #3
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8956 KB Output is correct
2 Correct 2 ms 8952 KB Output is correct
3 Correct 2 ms 8784 KB Output is correct
4 Correct 2 ms 8784 KB Output is correct
5 Correct 2 ms 8784 KB Output is correct
6 Correct 2 ms 8784 KB Output is correct
7 Correct 3 ms 8784 KB Output is correct
8 Correct 4 ms 8784 KB Output is correct
9 Correct 2 ms 8784 KB Output is correct
10 Correct 3 ms 8784 KB Output is correct
11 Correct 3 ms 8784 KB Output is correct
12 Correct 3 ms 8784 KB Output is correct
13 Correct 3 ms 8784 KB Output is correct
14 Correct 3 ms 8956 KB Output is correct
15 Correct 4 ms 8784 KB Output is correct
16 Correct 4 ms 8952 KB Output is correct
17 Correct 3 ms 8784 KB Output is correct
18 Correct 2 ms 8784 KB Output is correct
19 Correct 3 ms 8784 KB Output is correct
20 Correct 3 ms 8784 KB Output is correct
21 Correct 3 ms 8784 KB Output is correct
22 Correct 4 ms 8784 KB Output is correct
23 Correct 3 ms 8784 KB Output is correct
24 Correct 3 ms 8784 KB Output is correct
25 Correct 3 ms 8784 KB Output is correct
26 Correct 3 ms 8784 KB Output is correct
27 Correct 3 ms 8784 KB Output is correct
28 Correct 3 ms 8784 KB Output is correct
29 Correct 4 ms 8784 KB Output is correct
30 Correct 3 ms 8784 KB Output is correct

Subtask #4
37.0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8784 KB Output is correct
2 Correct 49 ms 16908 KB Output is correct
3 Correct 52 ms 16712 KB Output is correct
4 Correct 52 ms 16872 KB Output is correct
5 Correct 52 ms 16708 KB Output is correct
6 Correct 52 ms 16712 KB Output is correct
7 Correct 51 ms 16712 KB Output is correct
8 Correct 2 ms 8952 KB Output is correct
9 Correct 2 ms 8956 KB Output is correct
10 Correct 2 ms 8952 KB Output is correct
11 Correct 2 ms 8784 KB Output is correct
12 Correct 2 ms 8784 KB Output is correct
13 Correct 2 ms 8784 KB Output is correct
14 Correct 2 ms 8784 KB Output is correct
15 Correct 3 ms 8784 KB Output is correct
16 Correct 4 ms 8784 KB Output is correct
17 Correct 2 ms 8784 KB Output is correct
18 Correct 3 ms 8784 KB Output is correct
19 Correct 3 ms 8784 KB Output is correct
20 Correct 3 ms 8784 KB Output is correct
21 Correct 3 ms 8784 KB Output is correct
22 Correct 3 ms 8956 KB Output is correct
23 Correct 4 ms 8784 KB Output is correct
24 Correct 4 ms 8952 KB Output is correct
25 Correct 3 ms 8784 KB Output is correct
26 Correct 2 ms 8784 KB Output is correct
27 Correct 3 ms 8784 KB Output is correct
28 Correct 3 ms 8784 KB Output is correct
29 Correct 3 ms 8784 KB Output is correct
30 Correct 4 ms 8784 KB Output is correct
31 Correct 3 ms 8784 KB Output is correct
32 Correct 3 ms 8784 KB Output is correct
33 Correct 3 ms 8784 KB Output is correct
34 Correct 3 ms 8784 KB Output is correct
35 Correct 3 ms 8784 KB Output is correct
36 Correct 3 ms 8784 KB Output is correct
37 Correct 4 ms 8784 KB Output is correct
38 Correct 3 ms 8784 KB Output is correct
39 Correct 103 ms 16788 KB Output is correct
40 Correct 92 ms 16736 KB Output is correct
41 Correct 90 ms 16712 KB Output is correct
42 Correct 97 ms 16812 KB Output is correct
43 Correct 94 ms 16712 KB Output is correct
44 Correct 81 ms 16712 KB Output is correct
45 Correct 92 ms 16712 KB Output is correct
46 Correct 101 ms 16884 KB Output is correct
47 Correct 93 ms 16712 KB Output is correct
48 Correct 86 ms 16712 KB Output is correct
49 Correct 116 ms 16968 KB Output is correct
50 Correct 108 ms 16712 KB Output is correct
51 Correct 102 ms 16712 KB Output is correct
52 Correct 179 ms 18876 KB Output is correct
53 Correct 147 ms 18808 KB Output is correct
54 Correct 151 ms 18964 KB Output is correct
55 Correct 158 ms 18960 KB Output is correct
56 Correct 194 ms 21508 KB Output is correct
57 Correct 222 ms 21244 KB Output is correct
58 Correct 210 ms 21352 KB Output is correct
59 Correct 205 ms 21496 KB Output is correct
60 Correct 198 ms 21360 KB Output is correct
61 Correct 226 ms 21496 KB Output is correct
62 Correct 201 ms 21500 KB Output is correct
63 Correct 247 ms 21248 KB Output is correct
64 Correct 184 ms 21312 KB Output is correct
65 Correct 188 ms 21508 KB Output is correct
66 Correct 230 ms 21476 KB Output is correct
67 Correct 239 ms 21292 KB Output is correct