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;
#define inf 0x3f3f3f3f
#define sz(x) int((x).size())
#define fi first
#define se second
typedef long long ll;
typedef pair<int, int> ii;
template<class X, class Y>
inline bool maximize(X &x, const Y &y) {return (x < y ? x = y, 1 : 0);}
template<class X, class Y>
inline bool minimize(X &x, const Y &y) {return (x > y ? x = y, 1 : 0);}
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
int Random(int l, int r) {
return uniform_int_distribution<int>(l, r)(rng);
}
const int MAXN = 2003;
struct Edge {
int u, v, t, c;
} edge[MAXN];
struct State {
int t, c, u;
State(int _t = 0, int _c = 0, int _u = 0) : t(_t), c(_c), u(_u) {};
bool operator < (const State &s) const {
return (t != s.t) ? t > s.t : c > s.c;
}
};
ll answer[MAXN];
vector<int> adj[MAXN];
int minCost[MAXN], minCostInHeap[MAXN], numNode, numEdge;
void process() {
cin >> numNode >> numEdge;
for (int i = 0; i < numEdge; ++i) {
int u, v, t, c;
cin >> u >> v >> t >> c;
//u = Random(1, numNode - 1), v = Random(u + 1, numNode), t = Random(1, 100), c = Random(1, 100); cout << u << ' ' << v << ' ' << t << ' ' << c << '\n';
edge[i] = {u, v, t, c};
adj[u].push_back(i);
adj[v].push_back(i);
}
for (int i = 1; i <= numNode; ++i) {
minCost[i] = minCostInHeap[i] = 1e9;
answer[i] = 1e18;
}
priority_queue<State> heap;
heap.push({0, 0, 1});
minCostInHeap[1] = 0;
while(sz(heap)) {
int u(heap.top().u), dt(heap.top().t), dc(heap.top().c);
heap.pop();
if(minCost[u] <= dc)
continue;
minCost[u] = dc;
answer[u] = min(answer[u], 1LL * dt * dc);
for (int it = 0; it < sz(adj[u]); ++it) {
int id(adj[u][it]), v(u ^ edge[id].u ^ edge[id].v), t(edge[id].t), c(edge[id].c);
if(minCost[v] > dc + c)
heap.push({dt + t, dc + c, v});
}
}
for (int i = 2; i <= numNode; ++i) {
if(answer[i] >= 1e18)
answer[i] = -1;
cout << answer[i] << '\n';
}
}
int main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
process();
return 0;
}
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