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 pb push_back
#define all(c) c.begin(), c.end()
#define endl "\n"
const double PI=3.141592653589;
void __print(int x) {cerr << x;}
void __print(long x) {cerr << x;}
void __print(unsigned x) {cerr << x;}
void __print(unsigned long x) {cerr << x;}
void __print(unsigned long long x) {cerr << x;}
void __print(float x) {cerr << x;}
void __print(double x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char *x) {cerr << '\"' << x << '\"';}
void __print(const string &x) {cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}
template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ','; __print(x.second); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? "," : ""), __print(i); cerr << "}";}
void _print() {cerr << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
#ifndef ONLINE_JUDGE
#define dbg(x...) cerr << "LINE(" << __LINE__ << ") -> " <<"[" << #x << "] = ["; _print(x)
#else
#define dbg(x...)
#endif
int n,m;
vector<set<pair<int,int>>>adj;
const int inf = 1e18;
int dij(int u, int v){
vector<int>dist(n+1,inf);
dist[u] = 0;
priority_queue<pair<int,int>,vector<pair<int,int>>,greater<pair<int,int>>>pq;
pq.push({0,u});
while(!pq.empty()){
int u = pq.top().second, d = pq.top().first;
pq.pop();
if(d!=dist[u])continue;
for(auto &[v,c] : adj[u]){
if(dist[u] +c < dist[v]){
dist[v] = dist[u]+c;
pq.push({dist[v],v});
}
}
}
return dist[v];
}
void solve()
{
cin >> n >> m;
adj = vector<set<pair<int,int>>>(n+1);
vector<vector<int>>edges;
for(int i = 1;i<=m;++i){
int u,v,c,d;cin >> u >> v >> c >> d;
adj[u].insert({v,c});
edges.pb({u,v,c,d});
}
int res = min(inf,dij(1,n)+dij(n,1));
for(auto x : edges){
int u = x[0], v = x[1], c = x[2], d = x[3];
adj[u].erase({v,c});
adj[v].insert({u,c});
res = min(res, dij(1,n) + dij(n,1)+d);
adj[u].insert({v,c});
adj[v].erase({u,c});
}
if(res==inf)res = -1;
cout << res << endl;
}
int32_t main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
// freopen("input.txt", "r", stdin);
// freopen("output.txt", "w", stdout);
int T=1;
for(int i = 1;i<=T;++i)
{
// cout << "Case #" << i << ": ";
solve();
}
}
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