This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#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] ;
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 ;
sort(adj[node].begin() , adj[node].end()) ;
int sz = adj[node].size() ;
for(int i = 0 ; i < sz ; ++i)
{
int child2 = adj[node][i][1] ;
long long cost2 = cost + adj[node][i][2] ;
if(cost2 < dist[child2])
{
dist[child2] = cost2 ;
q.push({cost2 , child2}) ;
}
int cnt = 0 , idx = -1 ;
if(i-1 >= 0 && adj[node][i][0] == adj[node][i-1][0])
cnt++ , idx = i-1 ;
if(i+1 < sz && adj[node][i][0] == adj[node][i+1][0])
cnt++ , idx = i+1 ;
if(i+2 < sz && adj[node][i][0] == adj[node][i+2][0])
cnt++ , idx = i+2 ;
cost2 = cost ;
if(cost2 < dist[child2] && (cnt == 0 || (cnt == 1 && dist[adj[node][idx][1]] + adj[node][idx][2] == dist[node])))
{
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}) ;
}
dijkstra(1) ;
if(dist[n] == inf)
dist[n] = -1 ;
return cout<<dist[n]<<"\n" , 0 ;
}
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