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 sp << ' ' <<
#define nl << '\n'
const int INF = 1e16;
int n, m, ans = INF;
priority_queue<array<int, 2>> q;
void dijkstra(int r, int s, vector<int> &d, vector<array<int, 3>> g[]){
d.assign(n, INF);
d[s] = 0;
if(r == s) return;
q.push({0, s});
while(!q.empty()){
int u = q.top()[1], dist = -q.top()[0]; q.pop();
if(dist != d[u]) continue;
for(auto &[v, w, x] : g[u])
if(v != r && d[v] > dist + w)
q.push({-(d[v] = dist + w), v});
}
}
signed main(){
cin.tie(0)->sync_with_stdio(0);
cin >> n >> m;
vector<array<int, 3>> g[n], h[n];
while(m--){
int u, v, w, d; cin >> u >> v >> w >> d;
--u, --v;
g[u].push_back({v, w, d});
h[v].push_back({u, w, d});
}
for(int u=0; u<n; ++u){
vector<int> d[2], e[2];
for(int i=0; i<2; ++i){
dijkstra(u, i ? n-1 : 0, d[i], g);
dijkstra(u, i ? n-1 : 0, e[i], h);
}
for(auto &[v, w, x] : h[u])
for(int j=0; j<2; ++j)
d[j][u] = min(d[j][u], w + d[j][v]);
array<int, 2> suf[g[u].size()+1], pre;
for(int i=0; i<2; ++i) suf[g[u].size()][i] = pre[i] = INF;
for(int i=g[u].size(); --i>=0; )
for(int j=0; j<2; ++j)
suf[i][j] = min(suf[i+1][j], e[j][g[u][i][0]] + g[u][i][1]);
for(int i=0; i<(int)g[u].size(); ++i){
auto &[v, w, x] = g[u][i];
array<int, 2> uE = {min(pre[0], suf[i+1][0]), min(pre[1], suf[i+1][1])};
if(u == 0) uE[0] = 0;
if(u==n-1) uE[1] = 0;
int a = d[0][v] + w + uE[1];
int b = d[1][v] + w + uE[0];
ans = min(ans, a + x + min(e[0][n-1], d[1][u] + uE[0]));
ans = min(ans, b + x + min(e[1][0], uE[1] + d[0][u]));
ans = min(ans, a + b + x);
for(int j=0; j<2; ++j)
pre[j] = min(pre[j], e[j][v] + w);
}
}
vector<int> d[2];
dijkstra(-1, 0, d[0], g);
dijkstra(-1, n-1, d[1], g);
ans = min(ans, d[0][n-1] + d[1][0]);
cout << (ans == INF ? -1 : ans) nl;
}
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