Submission #1029807

#TimeUsernameProblemLanguageResultExecution timeMemory
1029807ihneAirplane (NOI23_airplane)C++17
63 / 100
107 ms21332 KiB
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define fi first
#define se second
#define pii pair<int,int>
#define pb push_back
const int mn=2e5+5;
const int mod=1e9+7;
int a[mn];
pii dp[mn];
vector<int> g[mn];
signed main(){
  //freopen("","r",stdin);
  //freopen("","w",stdout);
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  int n,m;
  cin>>n>>m;
  int ans=1e18;
  for (int i=1;i<=n;i++){
    cin>>a[i];
    dp[i]={1e18,1e18};
  }
  for (int i=1;i<=m;i++){
    int u,v;
    cin>>u>>v;
    g[u].pb(v);
    g[v].pb(u);
  }
  dp[1]={0,0};
  priority_queue<pair<pii,int>,vector<pair<pii,int>>,greater<pair<pii,int>>> pq;
  pq.push({{0,0},1});
  while (!pq.empty()){
    int lb=pq.top().fi.fi-pq.top().fi.se;
    int ub=pq.top().fi.se;
    int id=pq.top().se;
    pq.pop();
    pii cur={lb+ub,ub};
    if (dp[id]!=cur) continue;
    for (int v:g[id]){
      if (v==n) ans=min(ans,ub+max(lb,1ll));
      else{
        if (a[v]>ub){
          int l=a[v];
          int r=a[v];
          if (l+r<dp[v].fi){
            dp[v]={l+r,r};
            pq.push({{l+r,r},v});
          }
        }
        else{
          int l=max(a[v],lb-1);
          int r=ub+1;
          if (l+r<dp[v].fi){
            dp[v]={l+r,r};
            pq.push({{l+r,r},v});
          }
        }
      }
    }
  }
  cout<<ans;
}
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