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;
using ll = long long;
using ld = long double;
using T = tuple<ll, ll, ll>;
#define int long long
#define Base 41
#define sz(a) (int)a.size()
#define FOR(i, a, b) for ( int i = a ; i <= b ; i++ )
#define FORD(i, a, b) for (int i = b; i >= a; i --)
#define REP(i, n) for (int i = 0; i < n; ++i)
#define REPD(i, n) for (int i = n - 1; i >= 0; --i)
#define all(x) x.begin() , x.end()
#define pii pair<int , int>
#define fi first
#define se second
#define Lg(x) 31 - __builtin_clz(x)
#define MASK(i) (1LL << (i))
#define BIT(x, i) (((x) >> (i)) & 1)
constexpr ll LINF = (1ll << 60);
constexpr int INF = (1ll << 30);
constexpr int MAX = 2e3 + 5;
constexpr int Mod = 1e9 + 7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
void setupIO(){
#define name "Whisper"
//Phu Trong from Nguyen Tat Thanh High School for gifted student
srand(time(NULL));
cin.tie(nullptr)->sync_with_stdio(false); cout.tie(nullptr);
//freopen(name".inp", "r", stdin);
//freopen(name".out", "w", stdout);
cout << fixed << setprecision(10);
}
template <class X, class Y>
bool minimize(X &x, const Y &y){
X eps = 1e-9;
if (x > y + eps) {x = y; return 1;}
return 0;
}
template <class X, class Y>
bool maximize(X &x, const Y &y){
X eps = 1e-9;
if (x + eps < y) {x = y; return 1;}
return 0;
}
struct Edge{
int u, v, t, c;
int other(int x){
return (x ^ u ^ v);
}
} edge[MAX];
int minCost[MAX], ans[MAX];
struct State{
int t, c, u;
State(int _t, int _c, int _u): t(_t), c(_c), u(_u){}
bool operator < (const State& oth) const{
return (t != oth.t) ? t > oth.t : c > oth.c;
}
};
int N, M;
vector<int> adj[MAX];
void Whisper(){
cin >> N >> M;
for (int i = 1; i <= M; ++i){
int u, v, t, c; cin >> u >> v >> t >> c;
edge[i] = {u, v, t, c};
adj[u].push_back(i);
adj[v].push_back(i);
}
memset(minCost, 0x3f, sizeof minCost);
memset(ans, 0x3f, sizeof ans);
priority_queue<State> q;
q.push({0, 0, 1});
ans[1] = 0;
while (!q.empty()){
auto[dt, dc, u] = q.top(); q.pop();
if (minCost[u] <= dc) continue;
minCost[u] = dc;
minimize(ans[u], dt * dc);
for (auto&id : adj[u]){
int v = edge[id].other(u);
int t = edge[id].t;
int c = edge[id].c;
if (minCost[v] > dc + c){
q.push({dt + t, dc + c, v});
}
}
}
for (int i = 2; i <= N; ++i){
cout << (ans[i] > 1e15 ? -1 : ans[i]) << '\n';
}
}
signed main(){
setupIO();
int Test = 1;
// cin >> Test;
for ( int i = 1 ; i <= Test ; i++ ){
Whisper();
if (i < Test) cout << '\n';
}
}
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