Submission #1343945

#TimeUsernameProblemLanguageResultExecution timeMemory
1343945jumpAirplane (NOI23_airplane)C++20
0 / 100
143 ms19192 KiB
#include <bits/stdc++.h>
#define int long long

int n,m;
int alt[200100];
std::vector<int> adj[200100];
int dist[3][200100];
int highest[3][200100];
int djikstra(int first,int idx){
	std::priority_queue<std::pair<int,int>> pq;
	for(int i=0;i<=n;i++){
		dist[idx][i]=1e9;
	}
	pq.push({-0,first});
	dist[idx][first]=0;
	while(!pq.empty()){
		auto weight = -pq.top().first;
		//int weight = -pair
		int curr = pq.top().second;
		pq.pop();
		for(auto to:adj[curr]){
			if(dist[idx][to]>std::max(alt[to],weight+1)){
				pq.push({-(std::max(alt[to],weight+1)),to});
				dist[idx][to]=std::min(dist[idx][to],std::max(alt[to],weight+1));
				highest[idx][to]=std::max(1+highest[idx][curr],alt[to]);
			}
			if(dist[idx][to]==std::max(alt[to],weight+1)){
				highest[idx][to]=std::min(highest[idx][to],std::max(1+highest[idx][curr],alt[to]));
			}
		}
	}
	return 0;
}
signed main() {
	std::cin >> n >> m;
	for(int i=1;i<=n;i++){
		int inal;
		std::cin >> inal;
		alt[i]=inal;
	}
	for(int i=0;i<m;i++){
		int n1,n2;
		std::cin >> n1 >> n2;
		adj[n1].push_back(n2);
		adj[n2].push_back(n1);
	}
	djikstra(1,0);
	djikstra(n,1);
	int min = 1e9;
	for(int i=1;i<=n;i++){
		int diff=std::abs(dist[0][i]-dist[1][i]);
		if(std::max(highest[0][i],highest[1][i])<=std::min(dist[0][i],dist[1][i]))diff=0;
		else if(highest[1][i]>dist[0][i])diff=std::min(diff,highest[1][i]-dist[0][i]);
		else if(highest[0][i]>dist[1][i])diff=std::min(diff,highest[0][i]-dist[1][i]);
		//int diff = (std::abs(dist[0][i]-dist[1][i]));
		int tdist = dist[0][i]+dist[1][i]+std::abs(dist[0][i]-dist[1][i]);;
		//there should be edgecase
		//std::cout << "->" << '[' << highest[0][i] << ',' << dist[0][i] << ']' << ' '<< '[' << highest[1][i] << ','<< dist[1][i] << ']' << '\n';
		min=std::min(min,tdist);
	}
	std::cout << min;
}
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