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 x first
#define y second
using ll = long long;
using namespace std;
struct triple {
int x, y;
ll z;
};
struct four {
int x, y;
ll z, t;
};
int main() {
int n, m;
cin >> n >> m;
vector<vector<four>> g(n);
vector<vector<triple>> g1(n);
for (int i = 0; i < m; i++) {
int u, v, c;
ll p;
cin >> u >> v >> c >> p; u--; v--; c--;
g1[u].push_back({v, c, p});
g1[v].push_back({u, c, p});
}
vector<int> cnt(m, 0);
vector<ll> sum(m, 0);
for (int i = 0; i < n; i++) {
for (auto [u, c, p] : g1[i]) {
cnt[c]++;
sum[c] += p;
}
for (auto [u, c, p] : g1[i]) {
if (cnt[c] > 1) {
g[i].push_back({u, c, p, sum[c] - p});
} else {
g[i].push_back({u, c, p, 0});
}
}
for (auto [u, c, p] : g1[i]) {
cnt[c]--;
sum[c] -= p;
}
}
set<pair<ll, int>> st;
vector<ll> dist(n, INT64_MAX / 2), dist2(m, INT64_MAX / 2);
vector<int> used(n, 0);
dist[0] = 0;
for (int i = 0; i < n; i++) {
st.emplace(dist[i], i);
}
while (!st.empty()) {
auto [d, s] = *st.begin();
st.erase(st.begin());
for (auto [i, c, p, w] : g[s]) {
if (used[i]) {
dist2[c] = min(dist[i], dist2[c]);
}
}
used[s] = 1;
for (auto [i, c, p, w] : g[s]) {
if (!used[i]) {
st.erase({dist[i], i});
dist[i] = min(dist[i], min({d + w, dist2[c] + w, d + p}));
st.emplace(dist[i], i);
}
}
for (auto [i, c, p, w] : g[s]) {
if (used[i]) {
dist2[c] = INT64_MAX / 2;
}
}
}
if (dist[n - 1] == INT64_MAX / 2) {
cout << "-1\n";
} else {
cout << dist[n - 1] << "\n";
}
}
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