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;
template<typename T>
void out(T x) { cout << x << endl; exit(0); }
#define watch(x) cout << (#x) << " is " << (x) << endl
using ll = long long;
const int maxn = 1e6 + 5;
int n;
ll x[maxn], g[maxn], d[maxn];
int main() {
ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
cin>>n;
for (int i=1; i<=n; i++) {
cin>>x[i]>>g[i]>>d[i];
g[i]+=g[i-1];
d[i]+=d[i-1];
}
map<ll,ll> mp; // mono-decreasing
auto insert = [&](ll k, ll v) {
if (!mp.count(k)) {
mp[k] = v;
} else {
mp[k] = max(mp[k], v);
}
auto iter = mp.lower_bound(k);
if (iter == mp.begin()) return;
--iter;
while (true) {
if (iter->second > v) break;
auto it2 = iter;
bool done = false;
if (it2==mp.begin()) {
done=true;
} else {
--it2;
}
mp.erase(iter);
if (done) break;
iter = it2;
}
};
ll ans = 0;
for (int i=1; i<=n; i++) {
insert(x[i]-d[i-1], -g[i-1]);
auto iter = mp.lower_bound(x[i]-d[i]);
if (iter != mp.end()) {
ans = max(ans, g[i]+iter->second);
}
}
cout<<ans<<endl;
return 0;
}
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