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 <vector>
#include <queue>
#include <algorithm>
using namespace std;
struct EDGE {
int x, y, z, t;
} e[200005];
bool cmp(EDGE aa, EDGE bb) {
return aa.z < bb.z;
}
vector<int> gg[200005];
int d[200005], da[200005], f[200005];
int main() {
ios::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
int n, m;
cin >> n >> m;
for (int i = 1; i <= m; i++) {
int x, y, z, t;
cin >> x >> y >> z >> t;
d[x]++;
e[i] = {x, y, z, t};
}
sort(e + 1, e + m + 1, cmp);
queue<int> q;
for (int i = 1; i <= m; i++) {
gg[e[i].y].push_back(i);
}
for (int i = 1; i <= n; i++) {
if (d[i] == 0) q.push(i);
f[i] = 2e9;
}
while (!q.empty()) {
int p = q.front();
q.pop();
f[p] = -1;
for (int w : gg[p]) {
d[e[w].x]--;
da[w] = 1;
if (d[e[w].x] == 0) {
q.push(e[w].x);
}
}
}
for (int i = m; i >= 1; i--) {
if (da[i]) continue;
f[e[i].x] = min(f[e[i].x], e[i].z);
d[e[i].x]--;
da[i] = 1;
if (d[e[i].x] == 0) {
queue<int> q;
q.push(e[i].x);
while (!q.empty()) {
int p = q.front();
q.pop();
for (int w : gg[p]) {
if (da[w] == 1) continue;
f[e[w].x] = min(f[e[w].x], max(f[p] - e[w].t, e[w].z));
da[w] = 1;
d[e[w].x]--;
if (d[e[w].x] == 0) {
q.push(e[w].x);
}
}
}
}
}
for (int i = 1; i <= n; i++) cout << f[i] << " ";
}
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