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>
#define int long long
using namespace std;
int Dijkstra(int a, int b, vector<multiset<pair<int,int>>>& g){
int n = g.size();
priority_queue<pair<int,int>, vector<pair<int,int>>, greater<pair<int,int>>> pq;
vector<int> dist(n, 1e18);
vector<int> vis(n, 0);
pq.push({0, a});
dist[a] = 0;
while(!pq.empty()){
auto [d, v] = pq.top();
pq.pop();
if(vis[v]) continue;
vis[v] = 1;
for(auto [ch, w] : g[v]){
if(d + w < dist[ch]){
dist[ch] = d + w;
pq.push({dist[ch], ch});
}
}
}
return dist[b];
}
inline void solve(){
int n, m;
cin>>n>>m;
vector<multiset<pair<int,int>>> g(n+1);
vector<tuple<int,int,int,int>> e;
vector<vector<int>> dist(n+1, vector<int>(n+1, 1e18));
for(int i=1; i<=n; i++) dist[i][i] = 0;
for(int i=0; i<m; i++){
int u, v, c, d;
cin>>u>>v>>c>>d;
e.push_back({u, v, c, d});
g[u].insert({v, c});
dist[u][v] = min(dist[u][v], c);
}
for(int k=1; k<=n; k++){
for(int i=1; i<=n; i++){
for(int j=1; j<=n; j++){
dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j]);
}
}
}
int ans = dist[1][n] + dist[n][1];
for(auto [u, v, c, d] : e){
g[u].erase(g[u].find({v, c}));
g[v].insert({u, c});
ans = min(ans, d + Dijkstra(1, n, g) + Dijkstra(n, 1, g));
g[v].erase(g[v].find({u, c}));
g[u].insert({v, c});
}
cout<<(ans >= 1e18 ? -1 : ans);
}
signed main(){
ios_base::sync_with_stdio(0);
cin.tie(NULL);cout.tie(NULL);
int t = 1;
//cin>>t;
while(t--) solve();
return 0;
}
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