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 <set>
#include <algorithm>
#define pii pair<int, int>
#define fst first
#define snd second
#define ppi pair<int, pii>
using namespace std;
ppi interval[100001];
vector<int> rollback[100001];
set<int> s;
int n, q, ans[100001];
bool ins[100001];
pii intersect(pii &a, pii &b)
{
return {max(a.fst, b.fst), min(a.snd, b.snd)};
}
int main()
{
bool fail = 0;
cin >> n >> q;
for (int i = 0; i < n; i++) {ans[i] = -1; s.insert(i);}
for (int i = 0; i < q; i++)
{
cin >> interval[i].snd.fst >> interval[i].snd.snd >> interval[i].fst;
}
sort(interval, interval + q, greater<ppi>());
int j = 0;
for (int i = n - 1; i >= 0; i--)
{
pii ivl = {0, n - 1};
for (int k = j; k < q && interval[k].fst == i; k++) {ivl = intersect(ivl, interval[k].snd);}
if (ivl != make_pair(0, n - 1))
{
auto it = s.lower_bound(ivl.fst);
if (it != s.end() && *it <= ivl.snd) {ans[*it] = i; s.erase(it); ins[i] = 1;}
else {fail = 1; break;}
}
for (; j < q && interval[j].fst == i; j++)
{
auto it = s.lower_bound(interval[j].snd.fst);
while (it != s.end() && *it <= interval[j].snd.snd)
{
rollback[i].push_back(*it);
it = s.erase(it);
}
}
}
for (int i = 0; i < n; i++)
{
for (auto &x : rollback[i]) {s.insert(x);}
if (!ins[i])
{
if (s.size()) {ans[*s.begin()] = i; s.erase(s.begin());}
else {fail = 1; break;}
}
}
if (fail)
{
for (int i = 0; i < n; i++) {ans[i] = -1;}
}
for (int i = 0; i < n; i++)
{
cout << ans[i];
if (i + 1 < n) cout << " ";
}
cout << "\n";
return 0;
}
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