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 int INF = 2e9;
int n, m, ans = INF;
vector<vector<pair<int, int>>> normalgraph, revgraph, brutegraph;
vector<int> a, b, c, d, from1, to1, fromn, ton;
vector<bool> isinsp;
void dijkstra(int x, vector<int> &dist, vector<vector<pair<int, int>>> graph){
vector<bool> vis(n + 1, false);
vector<int> par(n + 1, -1);
dist.assign(n + 1, INF);
dist[x] = 0;
while(true){
int v = -1;
for(int i = 1; i <= n; i++){
if(!vis[i] && dist[i] != INF && (v == -1 || dist[i] < dist[v])){
v = i;
}
}
if(v == -1) break;
if(par[v] != -1) isinsp[par[v]] = true;
vis[v] = true;
for(auto [u, i] : graph[v]){
if(dist[v] + c[i] < dist[u]){
dist[u] = dist[v] + c[i];
par[u] = i;
}
}
}
}
int main() {
ios_base::sync_with_stdio(false);cin.tie(NULL);
cin >> n >> m;
normalgraph = revgraph = vector(n + 1, vector<pair<int, int>>{});
a = b = c = d = vector(m + 1, 0);
isinsp = vector(m + 1, false);
for(int i = 1; i <= m; i++){
cin >> a[i] >> b[i] >> c[i] >> d[i];
normalgraph[a[i]].push_back({b[i], i});
revgraph[b[i]].push_back({a[i], i});
}
dijkstra(1, from1, normalgraph);
dijkstra(1, to1, revgraph);
dijkstra(n, fromn, normalgraph);
dijkstra(n, ton, revgraph);
if(from1[n] != INF && fromn[1] != INF) ans = from1[n] + fromn[1];
for(int i = 1; i <= m; i++){
int useton = INF, useto1 = INF;
if(isinsp[i]){
brutegraph = vector(n + 1, vector<pair<int, int>>{});
for(int j = 1; j <= m; j++){
if(j == i) brutegraph[b[j]].push_back({a[j], j});
else brutegraph[a[j]].push_back({b[j], j});
}
vector<int> brutedist;
dijkstra(1, brutedist, brutegraph);
useton = brutedist[n];
dijkstra(n, brutedist, brutegraph);
useto1 = brutedist[1];
}
else{
useton = from1[n], useto1 = fromn[1];
if(from1[b[i]] != INF && ton[a[i]] != INF) useton = min(useton, from1[b[i]] + c[i] + ton[a[i]]);
if(fromn[b[i]] != INF && to1[a[i]] != INF) useto1 = min(useto1, fromn[b[i]] + c[i] + to1[a[i]]);
}
if(useton != INF && useto1 != INF) ans = min(ans, d[i] + useton + useto1);
}
cout << (ans == INF ? -1 : ans);
}
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