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;
#define int long long
#define pii pair<int, int>
const int MAX_N= 1e5;
map<int, vector<pii>> adj[MAX_N];
int n, m;
int dijkstra(){
map<pii, int> dist;
priority_queue<pair<int, pii>> pq;
pq.push({0, {0, -1}});
dist[{0, -1}] = 0;
while(pq.size()>0 && pq.size()<20){
auto cur= pq.top();
//cout<<-cur.first<<" "<<cur.second.first<<" "<<cur.second.second<<endl;
pq.pop();
int cdist = -cur.first;
pii pos = cur.second;
if(cdist==dist[pos]){
for(auto color: adj[pos.first]){
int cost = 0;
int nb= 0;
for(auto edge: color.second){
if(edge.first!= pos.second){
cost += edge.second;
nb++;
}
}
//cout<<color.first<<" cost "<<cost<<endl;
if(nb>1){
//cout<<color.first<<" multiple "<<endl;
for(auto edge: color.second){
int next = min(cdist+edge.second, cdist + cost - edge.second);
if(edge.first!=pos.second && (dist.find({edge.first, pos.first})== dist.end()|| dist[{edge.first, pos.first}]>next)){
//cout<<edge.first<<" "<<pos.second<<endl;
//cout<<cdist<<" "<<cost<<" "<<edge.second<<endl;
dist[{edge.first, pos.first}] = next;
pq.push({-(next), {edge.first, pos.first}});
}
}
}
else{
//cout<<color.first<<" single "<<endl;
for(auto edge: color.second){
if(edge.first!=pos.second && (dist.find({edge.first, -1})== dist.end()|| dist[{edge.first, -1}]>cdist)){
//cout<<edge.first<<" "<<pos.second<<endl;
//cout<<cdist<<" "<<cost<<" "<<edge.second<<endl;
dist[{edge.first, -1}] = cdist;
pq.push({-(cdist), {edge.first, -1}});
}
}
}
}
}
}
int res= 1e18;
for(int i = -1; i<n; i++){
if(dist.find({n-1, i})!=dist.end()){
res= min(res, dist[{n-1, i}]);
}
}
if(res== 1e18){
return -1;
}
return res;
}
signed main(){
cin>>n>>m;
for(int i = 0; i<m; i++){
int a, b, c, d;
cin>>a>>b>>c>>d;
adj[a-1][c].push_back({b-1, d});
adj[b-1][c].push_back({a-1, d});
}
cout<<dijkstra()<<endl;
}
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