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;
#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif
const int N = 1e5 + 5;
int n, k, L;
int l[N], r[N], t[N], a[9 * N], b[9 * N];
long long pf[9 * N];
void upd(int i, int j, int *a) {
++a[i];
--a[j];
}
int main() {
ios::sync_with_stdio(false); cin.tie(nullptr);
cin >> n >> k >> L;
vector<int> comp;
for (int i = 1; i <= n; ++i) {
cin >> l[i] >> t[i] >> r[i];
comp.push_back(l[i]);
comp.push_back(r[i] + 1);
if (r[i] - l[i] + 1 <= t[i]) {
t[i] = -1;
continue;
}
comp.push_back(l[i] + t[i]);
}
int m = comp.size();
for (int i = 0; i < m; ++i) {
comp.push_back(comp[i] + L);
comp.push_back(comp[i] - L);
}
sort(comp.begin(), comp.end());
comp.erase(unique(comp.begin(), comp.end()), comp.end());
auto pos = [&](int i) {
return lower_bound(comp.begin(), comp.end(), i) - comp.begin() + 1;
};
m = comp.size();
for (int i = 1; i <= n; ++i) {
int x = pos(l[i]), y = pos(r[i] + 1);
upd(x, y, a);
if (~t[i]) {
int z = pos(l[i] + t[i]);
upd(z, y, b);
}
}
for (int i = 1; i <= m; ++i) {
a[i] += a[i - 1];
b[i] += b[i - 1];
if (i + 1 <= m) {
pf[i + 1] = pf[i] + (long long) (comp[i] - comp[i - 1]) * (a[i] >= k ? b[i] : 0);
}
}
long long res = 0;
for (int i = 1; i <= m; ++i) {
int y = pos(comp[i - 1] + L);
if (y <= m && comp[y - 1] == comp[i - 1] + L) {
res = max(res, pf[y] - pf[i]);
}
}
cout << res;
return 0;
}
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