This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx,popcnt,sse4,abm")
#include <bits/stdc++.h>
using namespace std;
#ifdef WAIMAI
#define debug(HEHE...) cout << "[" << #HEHE << "] : ", dout(HEHE)
void dout() {cout << '\n';}
template<typename T, typename...U>
void dout(T t, U...u) {cout << t << (sizeof...(u) ? ", " : ""), dout(u...);}
#else
#define debug(...) 7122
#endif
#define ll long long
#define Waimai ios::sync_with_stdio(false), cin.tie(0)
#define FOR(x,a,b) for (int x = a, I = b; x <= I; x++)
#define pb emplace_back
#define F first
#define S second
const ll INF = 1e18;
const int SIZE = 2e5 + 5;
int n, m;
ll dis[SIZE];
int wei[SIZE];
unordered_set<int> us[SIZE];
unordered_map<int, vector<tuple<int, int, int>>> adj[SIZE];
priority_queue<tuple<ll, int, int, int>, vector<tuple<ll, int, int, int>>, greater<tuple<ll, int, int, int>>> pq;
void solve() {
cin >> n >> m;
for (int i = 1; i <= m; i++) {
int a, b, c, w;
cin >> a >> b >> c >> w;
adj[a][c].pb(b, w, i);
adj[b][c].pb(a, w, i);
}
fill(dis + 1, dis + n + 1, INF);
pq.emplace(0, 1, 0, 0);
while (pq.size()) {
auto [d, pos, color, eid] = pq.top();
pq.pop();
if (us[pos].count(color)) continue;
dis[pos] = min(dis[pos], d);
if (us[pos].count(0) == 0) {
for (auto [c, v] : adj[pos]) {
ll sum = 0;
for (auto [np, w, id] : v) if (id != eid) sum += w;
for (auto [np, w, id] : v) if (id != eid) {
pq.emplace(d + w, np, c, id);
pq.emplace(d + sum - w, np, 0, 0);
}
}
}
ll sum = 0;
for (auto [np, w, id] : adj[pos][color]) if (id != eid) sum += w;
for (auto [np, w, id] : adj[pos][color]) if (id != eid) {
pq.emplace(d + w, np, color, id);
pq.emplace(d + sum - w, np, 0, 0);
}
us[pos].insert(0);
us[pos].insert(color);
}
cout << (dis[n] == INF ? -1 : dis[n]) << '\n';
}
int main() {
Waimai;
solve();
}
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