Submission #1314207

#TimeUsernameProblemLanguageResultExecution timeMemory
1314207mantaggezAirplane (NOI23_airplane)C++20
100 / 100
194 ms17264 KiB
#include <bits/stdc++.h>

using namespace std;

#define pii pair<int, int>

const int nx = 2e5+5;
const int INF = 1e9;

int n, m, a[nx], res = INF;
vector<int> adj[nx];
priority_queue<pii, vector<pii>, greater<pii>> pq;

vector<int> dist(int n)
{
    vector<int> vs(nx, 0), d(nx, INF);
    d[n] = 0;
    pq.push({0, n});
    while(!pq.empty())
    {
        auto [cw, u] = pq.top();
        pq.pop();
        if(vs[u]) continue;
        vs[u] = 1;
        for(auto v : adj[u])
        {
            if(d[v] > max(cw + 1, a[v]))
            {
                d[v] = max(cw + 1, a[v]);
                pq.push({d[v], v});
            }
        }
    }
    return d;
}

int main()
{
    cin.tie(NULL)->sync_with_stdio(false);
    cin >> n >> m;
    for(int i=1;i<=n;i++) cin >> a[i];
    for(int i=1;i<=m;i++)
    {
        int u, v;
        cin >> u >> v;
        adj[u].push_back(v);
        adj[v].push_back(u);
    }

    vector<int> mn = dist(1);
    vector<int> mnr = dist(n);

    for(int i=1;i<=n;i++) res = min(res, 2 * max(mn[i], mnr[i]));
    for(int u=1;u<=n;u++)
    {
        for(auto v : adj[u])
            res = min(res, 2 * max(mn[u], mnr[v]) + 1);
    }

    cout << res ;

    return 0;
}
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