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 <iostream>
#include <queue>
#include <vector>
#include <array>
#pragma GCC optimize("Ofast")
#define F first
#define S second
#define MP make_pair
#define PB push_back
#define EB emplace_back
#define V vector
#define ALL(v) (v).begin(), (v).end()
using namespace std;
typedef long long ll;
typedef pair<int, int> pi;
typedef V<int> vi;
const int N = 1e5 + 7, INF = 1e9 + 7;
int u[N], v[N], c[N], d[N], d1[N], d2[N], tmp[N], from[N], is1[N], is2[N], dd1[N], dd2[N], is11[N], is22[N];
int n, m;
V<array<int, 3>> G[N], rG[N];
void go(V<array<int, 3>>* G, int s, int* d, int no = -1) {
for(int i = 1; i <= n; i++) d[i] = INF;
d[s] = 0;
priority_queue<pi, V<pi>, greater<pi>> pq;
pq.push({0, s});
while(pq.size()) {
pi p = pq.top(); pq.pop();
int u = p.S;
if(d[u] < p.F) continue;
for(auto e:G[u]) {
int v = e[0], w = e[1];
if(e[2] == no) continue;
if(d[u] + w < d[v]) {
d[v] = d[u] + w;
from[v] = e[2];
pq.push({d[v], v});
}
}
}
}
int no1(int i, int u) {
if(!is1[i]) return d1[u];
go(G, 1, tmp, i);
return tmp[u];
}
int no2(int i, int u) {
if(!is2[i]) return d2[u];
go(G, n, tmp, i);
return tmp[u];
}
int no11(int i, int u) {
if(!is11[i]) return dd1[u];
go(rG, 1, tmp, i);
return tmp[u];
}
int no22(int i, int u) {
if(!is22[i]) return dd2[u];
go(rG, n, tmp, i);
return tmp[u];
}
signed main()
{
cin >> n >> m;
for(int i = 0; i < m; i++) {
cin >> u[i] >> v[i] >> c[i] >> d[i];
G[u[i]].PB({v[i], c[i], i});
rG[v[i]].PB({u[i], c[i], i});
}
go(G, 1, d1);
for(int i = 2; i <= n; i++) {
if(d1[i] < INF) is1[from[i]] = 1;
}
go(G, n, d2);
for(int i = 1; i < n; i++) {
if(d2[i] < INF) is2[from[i]] = 1;
}
go(rG, 1, dd1);
for(int i = 2; i <= n; i++) {
if(dd1[i] < INF) is11[from[i]] = 1;
}
go(rG, n, dd2);
for(int i = 1; i < n; i++) {
if(dd2[i] < INF) is22[from[i]] = 1;
}
/*
for(int i = 0; i < m; i++) if(is1[i]) cerr << i << " ";
cerr << endl;
for(int i = 0; i < m; i++) if(is2[i]) cerr << i << " ";
cerr << endl;
*/
ll ans = d1[n] + d2[1];
for(int i = 0; i < m; i++) {
int ans1 = min(no1(i, v[i]) + no22(i, u[i]) + c[i], no1(i, n));
int ans2 = min(no11(i, u[i]) + no2(i, v[i]) + c[i], no2(i, 1));
ans = min(ans, (ll) ans1 + ans2 + d[i]);
}
if(ans >= INF) ans = -1;
cout << ans << endl;
}
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