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
#define getbit(x, i) (((x) >> (i)) & 1)
#define all(x) x.begin(), x.end()
#define TASK ""
using namespace std;
template <typename T1, typename T2> bool mini(T1 &a, T2 b) {
if (a > b) {a = b; return true;} return false;
}
template <typename T1, typename T2> bool maxi(T1 &a, T2 b) {
if (a < b) {a = b; return true;} return false;
}
const long long inf = 1e18;
const int mod = 1e9 + 7;
const int N = 1e5 + 7;
struct Edge {
int v, c, p;
Edge(int v, int c, int p) {
this -> v = v;
this -> c = c;
this -> p = p;
}
};
vector <Edge> adj[N];
long long dist[N], mn[2 * N], sum[2 * N];
int n, m;
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, p; cin >> u >> v >> c >> p;
adj[u].emplace_back(v, c, p);
adj[v].emplace_back(u, c, p);
}
memset(dist, 0x3f, sizeof dist);
memset(mn, 0x3f, sizeof mn);
priority_queue <pair <long long, int>> heap;
dist[1] = 0;
heap.emplace(0, 1);
while (heap.size()) {
auto [du, u] = heap.top();
heap.pop();
du = -du;
if (du != dist[u]) continue;
for (auto [v, c, p] : adj[u]) {
sum[c] += p;
mini(mn[c], dist[v]);
}
for (auto [v, c, p] : adj[u]) {
if (mini(dist[v], du + min(1LL * p, sum[c] - p)))
heap.emplace(-dist[v], v);
if (mini(dist[v], mn[c] + sum[c] - p))
heap.emplace(-dist[v], v);
}
for (auto [v, c, p] : adj[u]) {
sum[c] = 0;
maxi(mn[c], inf);
}
}
cout << (dist[n] != dist[0] ? dist[n] : -1);
}
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