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 <iostream>
#include <cstdio>
#include <algorithm>
#include <vector>
#include <set>
using namespace std;
#define endl '\n'
#define ll long long
#define pi pair<ll, ll>
#define f first
#define s second
const int inf = 0x3f3f3f3f;
const int mxn = 2000;
int n, m;
int u[mxn], v[mxn], a[mxn], b[mxn];
pi d[mxn], ans[mxn];
set<pi> pq;
vector<int> g[mxn];
pi f(pi x, pi y){
return x.f * x.s < y.f * y.s ? x : y;
}
void djk(ll x, ll y){
for(int i = 1; i < n; i++) d[i] = {inf, inf};
pq.insert({0, 0});
while(!pq.empty()){
int c = pq.begin()->s;
ans[c] = f(ans[c], d[c]);
pq.erase(pq.begin());
for(int i : g[c]){
int j = c ^ u[i] ^ v[i];
ll dj = d[j].f * x + d[j].s * y, dc = (d[c].f + a[i]) * x + (d[c].s + b[i]) * y;
if(dj > dc){
pq.erase({dj, j});
d[j] = {d[c].f + a[i], d[c].s + b[i]};
pq.insert({dc, j});
}
}
}
}
int main(){
ios::sync_with_stdio(false);
cin.tie(NULL);
cin >> n >> m;
for(int i = 0; i < m; i++){
cin >> u[i] >> v[i] >> a[i] >> b[i];
g[--u[i]].push_back(i);
g[--v[i]].push_back(i);
}
for(int i = 0; i < n; i++) ans[i] = {inf, inf};
for(int i = 0; i <= mxn; i++) djk(i, mxn - i);
for(int i = 1; i < n; i++) cout << (ans[i].f == inf ? -1 : ans[i].f * ans[i].s) << endl;
return 0;
}
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