Submission #1282896

#TimeUsernameProblemLanguageResultExecution timeMemory
1282896MisterReaperAirplane (NOI23_airplane)C++20
100 / 100
196 ms16632 KiB
// File airplane.cpp created on 24.10.2025 at 11:21:49
#include <bits/stdc++.h>

using i64 = long long;

#ifdef DEBUG 
    #include "/home/ahmetalp/Desktop/Workplace/debug.h"
#else
    #define debug(...) void(23)
#endif

constexpr int inf = int(1E9);

template<typename T>
bool chmin(T& a, T b) {
    if (a > b) {
        a = b;
        return true;
    }
    return false;
}

template<typename T>
using min_pq = std::priority_queue<T, std::vector<T>, std::greater<T>>;

int main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(nullptr);

    int N, M;
    std::cin >> N >> M;

    std::vector<int> A(N);
    for (int i = 0; i < N; ++i) {
        std::cin >> A[i];
    }

    std::vector<std::vector<int>> adj(N);
    for (int i = 0; i < M; ++i) {
        int U, V;
        std::cin >> U >> V;
        --U, --V;
        adj[U].emplace_back(V);
        adj[V].emplace_back(U);
    }

    min_pq<std::pair<int, int>> pq;

    std::vector<int> dis0(N, inf);
    pq.emplace(dis0[0] = 0, 0);
    while (!pq.empty()) {
        auto[d, v] = pq.top();
        pq.pop();
        if (d != dis0[v]) {
            continue;
        }
        for (auto u : adj[v]) {
            if (chmin(dis0[u], std::max(d + 1, A[u]))) {
                pq.emplace(dis0[u], u);
            }
        }
    }

    std::vector<int> disN(N, inf);
    pq.emplace(disN[N - 1] = 0, N - 1);
    while (!pq.empty()) {
        auto[d, v] = pq.top();
        pq.pop();
        if (d != disN[v]) {
            continue;
        }
        for (auto u : adj[v]) {
            if (chmin(disN[u], std::max(d + 1, A[u]))) {
                pq.emplace(disN[u], u);
            }
        }
    }

    debug(dis0, disN);

    int ans = inf;
    for (int v = 0; v < N; ++v) {
        ans = std::min(ans, std::max(dis0[v], disN[v]) * 2);
        for (auto u : adj[v]) {
            ans = std::min(ans, std::max(dis0[v], disN[u]) * 2 + 1);
        }
    }

    std::cout << ans << '\n';

    return 0;
}
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