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 sz(c) int(c.size())
#define rep(i,a,b) for (int i=a; i<(b); ++i)
#define per(i,a,b) for (int i=(b)-1; i>=(a); --i)
using namespace std;
using ll = long long;
struct edge_t {
int to,t,c;
ll w;
};
ll const INFLL=ll(1e18);
int const INF=int(1e9);
int const MAXN=2200;
int N,M;
vector<edge_t> adj[MAXN];
int res[MAXN];
ll d[MAXN];
tuple<int,int,int> pr[MAXN];
void test(ll x, ll y) {
rep(i,0,N) {
for (auto &e:adj[i]) e.w=e.t*x + e.c*y;
}
rep(i,0,N) {
d[i]=INFLL;
pr[i]={-1,-1,-1};
}
d[0]=0;
priority_queue<pair<ll,int>> q;
q.emplace(0,0);
while (!q.empty()) {
ll w;
int v;
tie(w,v)=q.top();
w=-w;
q.pop();
if (w!=d[v]) continue;
for (auto e:adj[v]) {
int u=e.to;
if (d[u]>w+e.w) {
d[u]=w+e.w;
pr[u]={v,e.t,e.c};
q.emplace(-d[u],u);
}
}
}
rep(i,1,N) {
int v=i,st=0,sc=0;
while (v!=-1) {
int t,c;
tie(v,t,c)=pr[v];
if (v!=-1) {
st+=t;
sc+=c;
}
}
if (st*sc!=0) {
res[i]=min(res[i],st*sc);
}
}
}
int main() {
cin.tie(0);
ios_base::sync_with_stdio(0);
cout<<fixed<<setprecision(10);
cin>>N>>M;
rep(i,0,M) {
int u,v,t,c;
cin>>u>>v>>t>>c;
u--, v--;
adj[u].push_back({v,t,c,0});
adj[v].push_back({u,t,c,0});
}
rep(i,1,N) res[i]=INF;
int const MAXX=5000;
rep(x,0,MAXX+1) test(x,MAXX-x);
rep(i,1,N) if (res[i]==INF) cout<<"-1\n"; else cout<<res[i]<<"\n";
}
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