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 fast ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define in insert
#define all(x) x.begin(),x.end()
#define pb push_back
#define eb emplace_back
#define ff first
#define ss second
#define int long long
typedef long long ll;
typedef vector<int> vi;
typedef set<int> si;
typedef multiset<int> msi;
typedef pair<int, int> pii;
typedef vector<pii> vpii;
typedef pair<int, int> P;
template<typename T, typename U>
ostream & operator << (ostream &out, const pair<T, U> &c) {
out << c.first << ' ' << c.second;
return out;
}
template<typename T>
ostream & operator << (ostream &out, vector<T> &v) {
const int sz = v.size();
for (int i = 0; i < sz; i++) {
if (i) out << ' ';
out << v[i];
}
return out;
}
template<typename T>
istream & operator >> (istream &in, vector<T> &v) {
for (T &x : v) in >> x;
return in;
}
template<typename T, typename U>
istream & operator >> (istream &in, pair<T, U> &c) {
in >> c.first;
in >> c.second;
return in;
}
template<typename T>
void mxx(T &a, T b){if(b > a) a = b;}
template<typename T>
void mnn(T &a, T b){if(b < a) a = b;}
const int mxn = 5e5 + 10, MXLOG = 22, mod = 1e9 + 7;
const long long inf = 1e18 + 10;
void go() {
int n, k, x;
cin >> n >> k >> x;
vector<pair<int, int>> A, B;
for(int i = 1; i <= n; i++) {
int l, t, r;
cin >> l >> t >> r;
A.eb(l, r);
if(l + t <= r) B.eb(l + t, r);
}
vector<int> val;
for(auto it : A) {
val.pb(it.ff - 1);
val.pb(it.ss);
}
for(auto it : B) {
val.pb(it.ff - 1);
val.pb(it.ss);
}
sort(all(val));
val.erase(unique(all(val)), val.end());
n = val.size();
vector<int> pre(n), ext(n), sum(n);
for(auto it : A) {
it.ff = lower_bound(all(val), it.ff) - val.begin();
it.ss = lower_bound(all(val), it.ss) - val.begin();
pre[it.ff]++;
if(it.ss + 1 < n) pre[it.ss + 1]--;
}
for(auto it : B) {
it.ff = lower_bound(all(val), it.ff) - val.begin();
it.ss = lower_bound(all(val), it.ss) - val.begin();
ext[it.ff]++;
if(it.ss + 1 < n) ext[it.ss + 1]--;
}
for(int i = 1; i < n; i++) {
pre[i] += pre[i - 1];
ext[i] += ext[i - 1];
if(pre[i] >= k) sum[i] = ext[i];
}
int l = 0, now = 0, ans = 0;
for(int i = 1; i < n; i++) {
now += sum[i] * (val[i] - val[i - 1]);
while(val[i] - val[l] > x) {
l++;
now -= sum[l] * (val[l] - val[l - 1]);
}
int need = x - (val[i] - val[l]);
mxx(ans, now + need * sum[l]);
}
l = n - 1, now = 0;
for(int i = n - 1; i > 0; i--) {
now += sum[i] * (val[i] - val[i - 1]);
while(val[l] - val[i - 1] > x) {
now -= sum[l] * (val[l] - val[l - 1]);
l--;
}
int need = x - (val[l] - val[i - 1]);
mxx(ans, now);
if(l + 1 < n) mxx(ans, now + need * sum[l + 1]);
}
cout << ans << endl;
}
signed main() {
fast;
int t = 1;
// cin >> t;
while(t--) {
go();
}
return 0;
}
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