Submission #1102439

#TimeUsernameProblemLanguageResultExecution timeMemory
1102439SoMotThanhXuanAirplane (NOI23_airplane)C++17
100 / 100
272 ms26420 KiB
#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;
}
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