Submission #814347

#TimeUsernameProblemLanguageResultExecution timeMemory
814347MohamedAhmed04Robot (JOI21_ho_t4)C++14
100 / 100
671 ms41804 KiB
#include <bits/stdc++.h>

using namespace std ;

const long long inf = 1e18 ;
const int MAX = 1e5 + 10 ;

int arr[MAX] ;
int n , m ;

vector< vector< array<int , 3> > >adj(MAX) ;

long long dist[MAX] ;

map< pair<int , int> , long long>mp , mp2 ;

void dijkstra(int src)
{
	for(int i = 1 ; i <= n ; ++i)
		dist[i] = inf ;
	priority_queue< pair<long long , int> , vector< pair<long long , int> > , greater< pair<long long , int> > >q ;
	dist[src] = 0 ;
	q.push({0 , src}) ;
	while(!q.empty())
	{
		pair<long long , int>p = q.top() ;
		q.pop() ;
		int node = p.second ;
		long long cost = p.first ;
		if(dist[node] < cost)
			continue ;
		for(auto &childd : adj[node])
			mp2[{node , childd[0]}] = max(mp2[{node , childd[0]}] , 1ll * childd[2] - (dist[childd[1]] + childd[2] - dist[node])) ;
		for(auto &childd : adj[node])
		{
			int child2 = childd[1] ;
			long long cost2 = cost + min(1ll * childd[2] , mp[{node , childd[0]}] - childd[2] - mp2[{node , childd[0]}]) ;
			if(cost2 < dist[child2])
			{
				dist[child2] = cost2 ;
				q.push({cost2 , child2}) ;
			}
		}
	}
}

int main()
{
	ios_base::sync_with_stdio(0) ;
	cin.tie(0) ;
	cin>>n>>m ;
	for(int i = 0 ; i < m ; ++i)
	{
		int x , y , c , w ;
		cin>>x>>y>>c>>w ;
		adj[x].push_back({c , y , w}) ;
		adj[y].push_back({c , x , w}) ;
		mp[{x , c}] += w , mp[{y , c}] += w ;
	}
	dijkstra(1) ;
	if(dist[n] == inf)
		dist[n] = -1 ;
	return cout<<dist[n]<<"\n" , 0 ;
}		
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