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 ii pair<int,int>
#define mp make_pair
#define pb push_back
#define all(x) (x).begin(),(x).end()
#define INF 100000000000000000
#define int long long int
#define modulo 1000000007
using namespace std;
struct data{
mutable int time,cost;
data(int x,int y):time(x),cost(y){}
bool operator<(const data& A)const{
return time<A.time||(time==A.time&&cost<A.cost);
}
};
struct Cont : set<data>{
void add(data A){
if(empty()){
insert(A);
return;
}
iterator pre=upper_bound(A);
if(pre!=begin()){
pre--;
if(pre->cost<=A.cost)return;
}
iterator curr=insert(A).first;
iterator next=curr;
next++;
while(next!=end()&&next->cost>=A.cost)next=erase(next);
}
};
vector<Cont> val(2002);
vector<int>adj[2002];
vector<pair<ii,ii>>edge;
int32_t main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
// freopen("q.gir","r",stdin);
// freopen("q.cik","w",stdout);
int n,m;
cin>>n>>m;
for(int i=0;i<m;i++){
int x,y,t,c;
cin>>x>>y>>t>>c;
edge.pb({{x,y},{t,c}});
}
val[1].add(data(0,0));
for(int q=0;q<=n;q++){
for(int i=0;i<m;i++){
int x,y,t,c;
x=edge[i].first.first,y=edge[i].first.second;
t=edge[i].second.first,c=edge[i].second.second;
for(Cont::iterator itr=val[x].begin();itr!=val[x].end();itr++){
val[y].insert(data(itr->time+t,itr->cost+c));
}
swap(x,y);
for(Cont::iterator itr=val[x].begin();itr!=val[x].end();itr++){
val[y].insert(data(itr->time+t,itr->cost+c));
}
}
}
for(int i=2;i<=n;i++){
if(val[i].empty())cout<<-1<<"\n";
else {
int ans=INF;
for(Cont::iterator itr=val[i].begin();itr!=val[i].end();itr++){
ans=min(ans,itr->time*itr->cost);
}
cout<<ans<<"\n";
}
}
}
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