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 int int64_t
#define FOR(i, a, b) for (int i = (a); i < (b); ++i)
using namespace std;
using ar = array<int, 2>;
using ar3 = array<int, 3>;
const int64_t INF = 1ll << 60;
const int N = 2e5 + 5;
vector<ar3> adj[N];
int n, m, C[N], d[N], cnt[N], sum[N];
ar last[N];
signed main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n >> m;
FOR(i, 0, m) {
int u, v, c, p;
cin >> u >> v >> c >> p;
--u, --v;
adj[v].push_back({u, c, p});
adj[u].push_back({v, c, p});
}
fill(last, last + N, ar{-1, -1});
vector<array<int, 4>> E;
FOR(i, 0, n) {
for (auto [u, c, p]: adj[i]) cnt[c]++, sum[c] += p;
for (auto &[u, c, p]: adj[i]) {
p = min(p, sum[c] - p);
if (cnt[c] == 2) {
if (last[c][0] == -1) last[c] = {u, p};
else {
E.push_back({last[c][0], u, c, last[c][1]});
E.push_back({u, last[c][0], c, p});
}
}
}
for (auto &[u, c, p]: adj[i]) for (auto &[v, cv, pv]: adj[i]) if (cv == c && (u != v)) {
E.push_back({u, v, c, sum[c] - pv});
}
for (auto [u, c, p]: adj[i]) cnt[c] = sum[c] = 0, last[c][0] = -1;
}
for (auto [u, v, c, p]: E)
adj[u].push_back({v, c, p});
fill(d + 1, d + N, INF);
queue<int> q;
q.push(0);
while (q.size()) {
int v = q.front();
q.pop();
for (auto [u, c, p]: adj[v]) {
int w = d[v] + p;
if (w < d[u]) {
q.push(u);
d[u] = w;
}
}
}
cout << (d[n - 1] < INF ? d[n - 1] : -1) << '\n';
return 0;
}
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