Submission #1141076

#TimeUsernameProblemLanguageResultExecution timeMemory
1141076Shadow1Airplane (NOI23_airplane)C++20
100 / 100
209 ms26124 KiB
// Programmer: Shadow1

#include <bits/stdc++.h>
// #include <ext/pb_ds/assoc_container.hpp>
// #include <ext/pb_ds/tree_policy.hpp>
using namespace std;

using ll = long long;
using ld = long double;
using ull = unsigned long long;
using str = string; // yay python!

#define i64 int64_t
#define show(x) cerr << (#x) << " = " << (x) << '\n';
#define output_vector(v) for(auto &x : v){cout << x << ' ';}cout << '\n';
#define output_pairvector(v) for(auto &x : v){cout << x.first << " " << x.second << '\n';}
#define read_vector(v) for(auto &x : v){cin >> x;}
#define vt vector
#define prq priority_queue
#define pb push_back
#define eb emplace_back
#define pii pair<int,int>
#define fir first
#define sec second
#define sz(x) ll(x.size())
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define int long long
#define discretize(x) sort(x.begin(), x.end()); x.erase(unique(x.begin(), x.end()), x.end());
// 
//
const int INF = 1e18;
const int maxn = 2e5 + 5;
vector<int> a(maxn), adj[maxn], d1(maxn, INF), d2(maxn, INF), h(maxn);
vector<bool> vis(maxn);
int n, m;

void dijkstra() {
    priority_queue<pii, vector<pii>, greater<pii>> pq;
    d1[1] = 0;
    pq.push({0, 1});
    while(!pq.empty()) {
        int u = pq.top().sec;
        pq.pop();
        if(vis[u]) continue;
        vis[u] = true;
        for(auto &v : adj[u]) {
            if(d1[u] + max(1ll, a[v] - h[u]) < d1[v]) {
                d1[v] = d1[u] + max(1ll, a[v] - h[u]);
                h[v] = max(a[v], h[u] + 1);
                pq.push({d1[v], v});
            }
        }
    }
    while(!pq.empty()) pq.pop();
    for(int i=1; i<=n; ++i) {
        vis[i] = false;
        h[i] = 0;
    }
    d2[n] = 0;
    pq.push({0, n});
    while(!pq.empty()) {
        int u = pq.top().sec;
        pq.pop();
        if(vis[u]) continue;
        vis[u] = true;
        for(auto &v : adj[u]) {
            if(d2[u] + max(1ll, a[v] - h[u]) < d2[v]) {
                d2[v] = d2[u] + max(1ll, a[v] - h[u]);
                h[v] = max(a[v], h[u] + 1);
                pq.push({d2[v], v});
            }
        }
    }
}

void solve() {
    cin >> n >> m;
    for(int i=1; i<=n; ++i)
        cin >> a[i];
    for(int i=0; i<m; ++i) {
        int u, v;
        cin >> u >> v;
        adj[u].push_back(v);
        adj[v].push_back(u);
    }
    if(n <= 1) {
        cout << 0 << '\n';
        return;
    }
    int ans = INF;
    dijkstra();
    for(int i=1; i<=n; ++i) {
        ans = min(ans, 2 * max(d1[i], d2[i]));
        for(auto &v : adj[i]) {
            ans = min(ans, 2*max(d1[i], d2[v]) + 1);
            ans = min(ans, 2*max(d1[v], d2[i]) + 1);
        }
    }
    
    cout << ans << '\n';
}









// CHECK YOUR OVERFLOWS!!!! 
signed main() {
    // freopen("output.txt", "w", stdout);
    // freopen("input.txt", "r", stdin);
    ios::sync_with_stdio(false);
    cin.tie(NULL); 
    int T = 1;
    // cin >> T;
    for(int tc = 1; tc <= T; ++tc) {
        // cout << "Case #" << tc << ": ";
        solve();
    }

    return 0;
}
#Verdict Execution timeMemoryGrader output
Fetching results...
#Verdict Execution timeMemoryGrader output
Fetching results...
#Verdict Execution timeMemoryGrader output
Fetching results...
#Verdict Execution timeMemoryGrader output
Fetching results...