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
const long long INF = (int)4e18;
signed main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
// freopen("inp.inp", "r", stdin);
// freopen("out.out", "w", stdout);
int n, m;
cin >> n >> m;
vector<vector<array<int, 3>>> adj(n);
for (int i = 0; i < m; i++) {
int u, v, color, cost;
cin >> u >> v >> color >> cost;
u--;
v--;
adj[u].push_back({ v, color, cost });
adj[v].push_back({ u, color, cost });
}
map<array<int, 2>, long long> dist; // (u, par) -> distance
priority_queue<array<long long, 3>, vector<array<long long, 3>>, greater<>> pq;
dist[{0, -1}] = 0;
pq.push({0, 0, -1});
while (!pq.empty()) {
auto [d, u, p] = pq.top();
pq.pop();
if (dist.count({u, p}) && dist[{u, p}] != d) continue;
map<int, long long> mp; // color to sum of cost
for (auto [v, color, cost] : adj[u]) {
if (v == p) continue;
mp[color] += cost;
}
for (auto [v, color, cost] : adj[u]) {
if (v == p) continue;
if (!dist.count({v, u}) || dist[{v, u}] > d + cost) {
dist[{v, u}] = d + cost;
pq.push({ d + cost, v, u });
}
if (!dist.count({v, -1}) || dist[{v, -1}] > d + mp[color] - cost) {
dist[{v, -1}] = d + mp[color] - cost;
pq.push({ d + mp[color] - cost, v, -1 });
}
}
}
long long ans = INF;
for (auto [arr, d] : dist) {
auto [u, p] = arr;
if (u == n - 1) {
ans = min(ans, d);
}
}
if (ans == INF) ans = -1;
cout << ans << '\n';
}
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