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 long long
#define fastio ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
using namespace std;
const int N = 1e3 + 5, M = 2e3 + 5;
struct edge {
int v, c, p;
};
int dp[N][M], from[N][M];
vector<edge> adj[N];
map<int, int> sum[N];
signed main() {
fastio
int n, m;
cin >> n >> m;
for (int i = 0; i < m; i++) {
int u, v, c, p;
cin >> u >> v >> c >> p;
adj[u].push_back({v, c, p});
adj[v].push_back({u, c, p});
sum[u][c] += p;
sum[v][c] += p;
}
fill(&dp[0][0], &dp[N - 1][M - 1], 1e18);
priority_queue<pair<int, pair<int, int>>, vector<pair<int, pair<int, int>>>, greater<>> pq;
dp[1][0] = 0;
pq.push({0, {1, 0}});
//dis, vertex, lst
while (!pq.empty()) {
auto [ww, pp] = pq.top();
pq.pop();
auto [u, cc] = pp;
if (ww > dp[u][cc])
continue;
for (auto [v, c, p] : adj[u]) {
//Dont change this edge, change all others
if (cc != c) {
if (dp[v][c] > dp[u][cc] + sum[u][c] - p) {
dp[v][c] = dp[u][cc] + sum[u][c] - p;
from[v][c] = p;
pq.push({dp[v][c], {v, c}});
}
}
//Change this edge, using p
{
if (dp[v][0] > dp[u][cc] + p) {
dp[v][0] = dp[u][cc] + p;
pq.push({dp[v][0], {v, 0}});
}
}
}
}
int ans = 1e18;
for (int i = 0; i <= m; i++) {
ans = min(ans, dp[n][i]);
}
cout << (ans == 1e18 ? -1 : ans) << "\n";
}
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