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>
#define fi first
#define se second
#define mp make_pair
using namespace std;
struct edge {
int v,c,cost;
edge(){}
edge(int _v, int _c, int _cost) {
v = _v;
c = _c;
cost = _cost;
}
};
const int N = 1e5 + 5;
const int M = 2e5 + 5;
const long long oo = 1e18;
vector <edge> adj[N];
long long dis[2 * N];
long long sum[M];
long long best[M];
int n,m;
template <typename T>
bool mini(T &a, T b) {
if (a > b) {
a = b;
return true;
}
return false;
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> n >> m;
for (int i = 1; i <= m; i++) {
int u,v,c,w;
cin >> u >> v >> c >> w;
edge a = edge(v, c, w);
edge b = edge(u, c, w);
adj[u].push_back(a);
adj[v].push_back(b);
}
for (int i = 1; i <= n; i++)
dis[i] = oo;
for (int i = 1; i <= m; i++)
best[i] = oo;
dis[1] = 0;
priority_queue <pair <long long, int>> heap;
heap.push(mp(0, 1));
while (heap.size()) {
int u = heap.top().se;
long long cur = -heap.top().fi;
heap.pop();
if (cur != dis[u])
continue;
for (edge e : adj[u]) {
sum[e.c] += e.cost;
best[e.c] = min(best[e.c], dis[e.v]);
}
for (edge e : adj[u]) {
int v = e.v;
int c = e.c;
int w = e.cost;
long long tmp = min(0LL + w, sum[c] - w);
if (mini(dis[v], cur + tmp))
heap.push(mp(-dis[v], v));
if (mini(dis[v], best[c] + sum[c] - w))
heap.push(mp(-dis[v], v));
}
for (edge e : adj[u]) {
sum[e.c] = 0;
best[e.c] = oo;
}
}
if (dis[n] == oo)
dis[n] = -1;
cout << dis[n];
return 0;
}
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