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>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
#define endl '\n'
#define fi first
#define se second
#define For(i, l, r) for (int i = l; i < r; i++)
#define ForE(i, l, r) for (int i = l; i <= r; i++)
#define FordE(i, l, r) for (int i = l; i >= r; i--)
#define Fora(v, a) for (auto v: a)
#define bend(a) a.begin(), a.end()
#define isz(a) ((signed)a.size())
using ll = long long;
using ld = long double;
using pii = pair <int, int>;
using vi = vector <int>;
using vpii = vector <pii>;
using vvi = vector <vi>;
const int N = 1e5 + 5, M = 2e5 + 5;
struct Edge{
int u, v, c, p;
Edge(){
}
Edge(int u, int v, int c, int p): u(u), v(v), c(c), p(p){
}
};
int n, m;
Edge edges[2 * M];
vi adj[N];
unordered_map <int, vi> mppc[N];
ll dist[2 * M][3];
priority_queue <tuple <ll, int, int>, vector <tuple <ll, int, int>>, greater <tuple <ll, int, int>>> pq;
signed main(){
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
// freopen("KEK.inp", "r", stdin);
// freopen("KEK.out", "w", stdout);
cin >> n >> m;
ForE(i, 1, m){
int u, v, c, p; cin >> u >> v >> c >> p;
edges[2 * i - 1] = Edge(u, v, c, p);
edges[2 * i] = Edge(v, u, c, p);
adj[u].emplace_back(2 * i - 1);
adj[v].emplace_back(2 * i);
}
ForE(i, 1, 2 * m){
mppc[edges[i].u][edges[i].c].emplace_back(i);
}
memset(dist, 0x3f, sizeof(dist));
dist[1][2] = 0; pq.emplace(dist[1][2], 1, 2);
while (!pq.empty()){
ll d; int u, i; tie(d, u, i) = pq.top(); pq.pop();
if (i == 2){
Fora(elem, mppc[u]){
if (isz(elem.se) == 1){
if (dist[elem.se[0]][0] > d){
dist[elem.se[0]][0] = d;
pq.emplace(dist[elem.se[0]][0], elem.se[0], 0);
}
}
Fora(ti, elem.se){
if (dist[ti][1] > d + edges[ti].p){
dist[ti][1] = d + edges[ti].p;
pq.emplace(dist[ti][1], ti, 1);
}
}
}
continue;
}
if (dist[edges[u].v][2] > d){
dist[edges[u].v][2] = d;
pq.emplace(dist[edges[u].v][2], edges[u].v, 2);
}
if (i == 1 and isz(mppc[edges[u].v][edges[u].c]) == 2){
Fora(ti, mppc[edges[u].v][edges[u].c]){
if (ti == (u ^ 1)){
continue;
}
if (dist[ti][0] > d){
dist[ti][0] = d;
pq.emplace(dist[ti][0], ti, 0);
}
}
}
}
cout << (dist[n][2] == dist[0][0] ? -1 : dist[n][2]) << endl;
}
/*
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OUTPUT: |
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*/
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