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;
#ifdef ngu
#include "debug.h"
#else
#define debug(...) 42
#endif
const int N = (int) 5e5 + 5;
int n, m;
long long s[N], d[N];
vector<pair<int, long long>> g[N];
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
#ifdef ngu
freopen("test.inp", "r", stdin);
freopen("test.out", "w", stdout);
#endif
cin >> n >> m;
map<pair<int, int>, int> id;
vector<tuple<int, int, int, int>> edges;
int idx = n;
auto add = [&](int u, int c, int v) {
if (!id.count({u, c})) {
id[{u, c}] = ++idx;
}
s[id[{u, c}]] += v;
};
for (int i = 1; i <= m; ++i) {
int u, v, c, p;
cin >> u >> v >> c >> p;
edges.emplace_back(u, v, c, p);
add(u, c, p);
add(v, c, p);
}
for (auto [u, v, c, p] : edges) {
int x = id[{u, c}], y = id[{v, c}];
long long a = s[x], b = s[y];
g[u].emplace_back(v, min(1LL * p, a - p));
g[v].emplace_back(u, min(1LL * p, b - p));
g[u].emplace_back(y, 0);
g[v].emplace_back(x, 0);
g[x].emplace_back(v, a - p);
g[y].emplace_back(u, b - p);
}
memset(d, 0x3f, sizeof(d));
using T = pair<long long, int>;
priority_queue<T, vector<T>, greater<T>> pq;
d[1] = 0;
pq.emplace(0, 1);
while (pq.size()) {
auto [c, u] = pq.top();
pq.pop();
if (c == d[u]) {
for (auto [v, w] : g[u]) {
if (d[v] > d[u] + w) {
pq.emplace(d[v] = d[u] + w, v);
}
}
}
}
const long long INF = (long long) 1e18;
cout << (d[n] > INF ? -1 : d[n]);
}
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