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Submission #1102439

# Submission time Handle Problem Language Result Execution time Memory
1102439 2024-10-18T06:59:50 Z SoMotThanhXuan Airplane (NOI23_airplane) C++17
100 / 100
 272 ms 26420 KB 
#include <bits/stdc++.h>
using namespace std;
const int maxN = 4e5 + 5;
const int INF = 1e9;
int N, M, a[maxN];
vector<int> adj[maxN];
pair<int, int> edge[maxN];
int f[maxN], g[maxN];
priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> Q;
void dijsktra(int s, int d[]){
    for(int i = 1; i <= N; ++i)d[i] = INF;
    d[s] = 0;
    Q.push({0, s});
    while(!Q.empty()){
        int dist = Q.top().first;
        int u = Q.top().second;
        Q.pop();
        if(dist > d[u])continue;
        for(int v : adj[u]){
            int w = max(a[v], dist + 1);
            if(w < d[v]){
                d[v] = w;
                Q.push({w, v});
            }
        }
    }
}
int main(){
    ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
    cin >> N >> M;
    for(int i = 1; i <= N; ++i){
        cin >> a[i];
    }
    for(int i = 1, u, v; i <= M; ++i){
        cin >> u >> v ;
        adj[u].push_back(v);
        adj[v].push_back(u);
        edge[i] = make_pair(u, v);
    }
    dijsktra(1, f);
    dijsktra(N, g);
    int res = INF;
    for(int i = 1; i <= N; ++i){
        res = min(res, f[i] + g[i] + abs(f[i] - g[i]));
    }
    for(int i = 1; i <= M; ++i){
        int u = edge[i].first, v = edge[i].second;
        if(f[u] == g[v])res = min(res, f[u] + g[v] + 1);
        if(f[v] == g[u])res = min(res, f[v] + g[u] + 1);
    }
    cout << res;
    return 0;
}

Subtask #1
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 16720 KB Output is correct
2 Correct 59 ms 23184 KB Output is correct
3 Correct 56 ms 23304 KB Output is correct
4 Correct 52 ms 23112 KB Output is correct
5 Correct 53 ms 23224 KB Output is correct
6 Correct 58 ms 23112 KB Output is correct
7 Correct 54 ms 23112 KB Output is correct
8 Correct 3 ms 16720 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 16720 KB Output is correct
2 Correct 3 ms 16720 KB Output is correct
3 Correct 3 ms 16720 KB Output is correct
4 Correct 3 ms 16824 KB Output is correct
5 Correct 2 ms 16720 KB Output is correct
6 Correct 4 ms 16936 KB Output is correct
7 Correct 3 ms 16720 KB Output is correct
8 Correct 3 ms 16720 KB Output is correct
9 Correct 3 ms 16720 KB Output is correct
10 Correct 3 ms 16720 KB Output is correct
11 Correct 3 ms 16720 KB Output is correct
12 Correct 3 ms 16720 KB Output is correct
13 Correct 4 ms 16720 KB Output is correct
14 Correct 4 ms 17144 KB Output is correct
15 Correct 4 ms 16976 KB Output is correct
16 Correct 4 ms 16976 KB Output is correct
17 Correct 4 ms 16976 KB Output is correct
18 Correct 3 ms 16720 KB Output is correct

Subtask #3
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 16720 KB Output is correct
2 Correct 3 ms 16720 KB Output is correct
3 Correct 3 ms 16720 KB Output is correct
4 Correct 3 ms 16824 KB Output is correct
5 Correct 2 ms 16720 KB Output is correct
6 Correct 4 ms 16936 KB Output is correct
7 Correct 3 ms 16720 KB Output is correct
8 Correct 3 ms 16720 KB Output is correct
9 Correct 3 ms 16720 KB Output is correct
10 Correct 3 ms 16720 KB Output is correct
11 Correct 3 ms 16720 KB Output is correct
12 Correct 3 ms 16720 KB Output is correct
13 Correct 4 ms 16720 KB Output is correct
14 Correct 4 ms 17144 KB Output is correct
15 Correct 4 ms 16976 KB Output is correct
16 Correct 4 ms 16976 KB Output is correct
17 Correct 4 ms 16976 KB Output is correct
18 Correct 3 ms 16720 KB Output is correct
19 Correct 3 ms 16720 KB Output is correct
20 Correct 3 ms 16720 KB Output is correct
21 Correct 3 ms 16928 KB Output is correct
22 Correct 4 ms 16720 KB Output is correct
23 Correct 5 ms 16720 KB Output is correct
24 Correct 4 ms 16720 KB Output is correct
25 Correct 4 ms 16720 KB Output is correct
26 Correct 4 ms 16976 KB Output is correct
27 Correct 4 ms 16976 KB Output is correct
28 Correct 4 ms 16976 KB Output is correct
29 Correct 4 ms 16976 KB Output is correct
30 Correct 4 ms 16976 KB Output is correct

Subtask #4
37.0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 16720 KB Output is correct
2 Correct 59 ms 23184 KB Output is correct
3 Correct 56 ms 23304 KB Output is correct
4 Correct 52 ms 23112 KB Output is correct
5 Correct 53 ms 23224 KB Output is correct
6 Correct 58 ms 23112 KB Output is correct
7 Correct 54 ms 23112 KB Output is correct
8 Correct 3 ms 16720 KB Output is correct
9 Correct 3 ms 16720 KB Output is correct
10 Correct 3 ms 16720 KB Output is correct
11 Correct 3 ms 16720 KB Output is correct
12 Correct 3 ms 16824 KB Output is correct
13 Correct 2 ms 16720 KB Output is correct
14 Correct 4 ms 16936 KB Output is correct
15 Correct 3 ms 16720 KB Output is correct
16 Correct 3 ms 16720 KB Output is correct
17 Correct 3 ms 16720 KB Output is correct
18 Correct 3 ms 16720 KB Output is correct
19 Correct 3 ms 16720 KB Output is correct
20 Correct 3 ms 16720 KB Output is correct
21 Correct 4 ms 16720 KB Output is correct
22 Correct 4 ms 17144 KB Output is correct
23 Correct 4 ms 16976 KB Output is correct
24 Correct 4 ms 16976 KB Output is correct
25 Correct 4 ms 16976 KB Output is correct
26 Correct 3 ms 16720 KB Output is correct
27 Correct 3 ms 16720 KB Output is correct
28 Correct 3 ms 16720 KB Output is correct
29 Correct 3 ms 16928 KB Output is correct
30 Correct 4 ms 16720 KB Output is correct
31 Correct 5 ms 16720 KB Output is correct
32 Correct 4 ms 16720 KB Output is correct
33 Correct 4 ms 16720 KB Output is correct
34 Correct 4 ms 16976 KB Output is correct
35 Correct 4 ms 16976 KB Output is correct
36 Correct 4 ms 16976 KB Output is correct
37 Correct 4 ms 16976 KB Output is correct
38 Correct 4 ms 16976 KB Output is correct
39 Correct 91 ms 23120 KB Output is correct
40 Correct 75 ms 23348 KB Output is correct
41 Correct 90 ms 23116 KB Output is correct
42 Correct 83 ms 23112 KB Output is correct
43 Correct 92 ms 23376 KB Output is correct
44 Correct 83 ms 23164 KB Output is correct
45 Correct 86 ms 23112 KB Output is correct
46 Correct 83 ms 23268 KB Output is correct
47 Correct 80 ms 23112 KB Output is correct
48 Correct 79 ms 23368 KB Output is correct
49 Correct 96 ms 23368 KB Output is correct
50 Correct 104 ms 23268 KB Output is correct
51 Correct 98 ms 23268 KB Output is correct
52 Correct 170 ms 24328 KB Output is correct
53 Correct 129 ms 24404 KB Output is correct
54 Correct 129 ms 24396 KB Output is correct
55 Correct 148 ms 24516 KB Output is correct
56 Correct 189 ms 26420 KB Output is correct
57 Correct 216 ms 26232 KB Output is correct
58 Correct 213 ms 26200 KB Output is correct
59 Correct 190 ms 26304 KB Output is correct
60 Correct 175 ms 26304 KB Output is correct
61 Correct 178 ms 26304 KB Output is correct
62 Correct 178 ms 26304 KB Output is correct
63 Correct 176 ms 26328 KB Output is correct
64 Correct 235 ms 26304 KB Output is correct
65 Correct 240 ms 26264 KB Output is correct
66 Correct 223 ms 26204 KB Output is correct
67 Correct 272 ms 26304 KB Output is correct