This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// #pragma GCC optimize("Ofast,unroll-loops")
#include <bits/stdc++.h>
using namespace std;
// #define int long long
#define sp << ' ' <<
#define nl << '\n'
const int INF = 2e9+1;
int n, m, ans = INF;
vector<array<int, 3>> g[2][200];
inline int add(int x, int y, int z){
if(max(x, max(y, z)) == INF) return INF;
return x + y + z;
}
inline int add(int x, int y){
if(max(x, y) == INF) return INF;
return x + y;
}
void dijkstra(int r, int s, vector<int> &d, int i){
d.assign(n, INF);
bitset<200> vis; if(r>=0) vis[r] = 1;
d[s] = 0;
if(r == s) return;
for(int _=0; _<n; ++_){
array<int, 2> j = {INF, -1};
for(int u=0; u<n; ++u) if(!vis[u] && d[u] < j[0]) j = {d[u], u};
if(j[1] < 0 || j[1] == r) continue;
vis[j[1]] = 1;
for(auto &[v, w, t] : g[i][j[1]])
if(v != r && !vis[v]) d[v] = min(d[v], add(j[0], w));
}
}
signed main(){
cin.tie(0)->sync_with_stdio(0);
cin >> n >> m;
while(m--){
int u, v, w, d; cin >> u >> v >> w >> d;
--u, --v;
g[0][u].push_back({v, w, d});
g[1][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], 0);
dijkstra(u, i ? n-1 : 0, e[i], 1);
}
for(auto &[v, w, x] : g[1][u])
for(int j=0; j<2; ++j)
d[j][u] = min(d[j][u], add(w, d[j][v]));
array<int, 2> x[2], y[2];
for(int j=0; j<2; ++j) x[j] = y[j] = {INF, -1};
for(int i=0; i<(int)g[0][u].size(); ++i){
for(int j=0; j<2; ++j){
y[j] = min(y[j], {add(e[j][g[0][u][i][0]], g[0][u][i][1]), i});
if(x[j] > y[j]) swap(x[j], y[j]);
}
}
if(u == 0) x[0][0] = y[0][0] = 0;
if(u==n-1) x[1][0] = y[1][0] = 0;
for(int i=0; i<(int)g[0][u].size(); ++i){
auto &[v, w, t] = g[0][u][i];
array<int, 2> uE;
for(int j=0; j<2; ++j) uE[j] = x[j][1] == i ? y[j][0] : x[j][0];
int a = add(d[0][v], w, uE[1]);
int b = add(d[1][v], w, uE[0]);
ans = min(ans, add(a, t, min(e[0][n-1], add(d[1][u], uE[0]))));
ans = min(ans, add(b, t, min(e[1][0], add(uE[1], d[0][u]))));
ans = min(ans, add(a, b, t));
}
}
vector<int> d[2];
dijkstra(-1, 0, d[0], 0);
dijkstra(-1, n-1, d[1], 0);
ans = min(ans, add(d[0][n-1], d[1][0]));
cout << (ans == INF ? -1 : ans) nl;
}
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