This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*
ID: varunra2
LANG: C++
TASK: ceste
*/
#include <bits/stdc++.h>
using namespace std;
#ifdef DEBUG
#include "lib/debug.h"
#define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#define debug_arr(...) \
cerr << "[" << #__VA_ARGS__ << "]:", debug_arr(__VA_ARGS__)
#pragma GCC diagnostic ignored "-Wsign-compare"
//#pragma GCC diagnostic ignored "-Wunused-parameter"
//#pragma GCC diagnostic ignored "-Wunused-variable"
#else
#define debug(...) 42
#endif
#define int long long
#define EPS 1e-9
#define IN(A, B, C) assert(B <= A && A <= C)
#define INF (int)1e17
#define MEM(a, b) memset(a, (b), sizeof(a))
#define MOD 1000000007
#define MP make_pair
#define PB push_back
#define all(cont) cont.begin(), cont.end()
#define rall(cont) cont.end(), cont.begin()
#define x first
#define y second
const double PI = acos(-1.0);
typedef long long ll;
typedef long double ld;
typedef pair<int, int> PII;
typedef map<int, int> MPII;
typedef multiset<int> MSETI;
typedef set<int> SETI;
typedef set<string> SETS;
typedef vector<int> VI;
typedef vector<PII> VII;
typedef vector<VI> VVI;
typedef vector<string> VS;
#define rep(i, a, b) for (int i = a; i < (b); ++i)
#define trav(a, x) for (auto& a : x)
#define sz(x) (int)(x).size()
typedef pair<int, int> pii;
typedef vector<int> vi;
#pragma GCC diagnostic ignored "-Wsign-compare"
// util functions
int32_t main() {
// #ifndef ONLINE_JUDGE
// freopen("ceste.in", "r", stdin);
// freopen("ceste.out", "w", stdout);
// #endif
cin.sync_with_stdio(0);
cin.tie(0);
int n, m;
cin >> n >> m;
VI dist(n, INF);
VI bst(n, INF);
vector<vector<pair<int, PII>>> adj(n);
for (int i = 0; i < m; i++) {
int u, v, c, t;
cin >> u >> v >> c >> t;
u--, v--;
adj[u].PB(MP(v, MP(c, t)));
adj[v].PB(MP(u, MP(c, t)));
}
priority_queue<VI, VVI, greater<VI>> pq;
pq.push({0, 0, 0});
while (!pq.empty()) {
auto x = pq.top();
pq.pop();
int node, cost, time;
cost = x[0];
node = x[1];
time = x[2];
if (time >= bst[node]) continue;
bst[node] = time;
dist[node] = min(dist[node], cost * time);
for (auto& x : adj[node]) {
pq.push({cost + x.y.x, x.x, time + x.y.y});
}
}
for (int i = 1; i < n; i++) {
if (dist[i] >= INF)
cout << "-1\n";
else
cout << dist[i] << '\n';
}
return 0;
}
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