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 int long long
#define pii pair <int, int>
#define fi first
#define se second
#define mp make_pair
const int NM = 2e5, inf = 1e18;
int N, M, u[NM+5], v[NM+5], r[NM+5], p[NM+5], od[NM+5];
vector <int> g[NM+5];
int deg[NM+5];
stack <int> st;
bool del[NM+5];
priority_queue <pair <pii, pii> > pq;
int ans[NM+5];
signed main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin >> N >> M;
for (int i = 1; i <= M; i++){
cin >> u[i] >> v[i] >> r[i] >> p[i];
g[v[i]].push_back(i);
deg[u[i]]++;
od[i] = i;
}
sort(od+1, od+1+M, [&](int i, int j){
return r[i] > r[j];
});
for (int i = 1; i <= N; i++)
if (!deg[i]) st.push(i);
while (!st.empty()){
int x = st.top(); st.pop();
for (int i : g[x]){
del[i] = 1;
deg[u[i]]--;
if (!deg[u[i]]) st.push(u[i]);
}
}
for (int i = 1; i <= N; i++)
ans[i] = +inf;
for (int t = 1; t <= M; t++){
int i = od[t];
if (del[i]) continue;
del[i] = 1;
ans[u[i]] = min(ans[u[i]], r[i]);
deg[u[i]]--;
if (deg[u[i]]) continue;
st.push(u[i]);
while (!st.empty()){
int x = st.top(); st.pop();
for (int i : g[x]){
if (del[i]) continue;
del[i] = 1;
ans[u[i]] = min(ans[u[i]], max(ans[v[i]]-p[i], r[i]));
deg[u[i]]--;
if (!deg[u[i]]) st.push(u[i]);
}
}
}
for (int i = 1; i <= N; i++)
cout << (ans[i] == +inf ? -1 : ans[i]) << ' ';
return 0;
}
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