This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#define BUGO(x) cerr << #x << " = " << (x) << '\n';
#define BUGOARR(x) { cerr << "{ "; for(auto& i: (x))cerr<<i<<' ';cerr<<"}\n";}
#include <iostream>
#include <algorithm>
#include <vector>
using namespace std;
using ll = long long;
const int N = 100'002;
ll x[N], g[N], e[N], prefe[N];
ll t[4 * N], lazy[4 * N], llazy[4 * N];
ll ans[N];
//Build
void Build(int v, int vl, int vr)
{
if (vl == vr)
{
t[v] = prefe[vl];
return;
}
int m = (vl + vr) / 2;
Build(v, vl, m);
Build(v, m + 1, vr);
t[v] = max(t[v * 2], t[v * 2 + 1]);
}
inline void Push(int v, int vl, int vr)
{
if (llazy[v] == 0)return;
if (vl != vr)
{
llazy[v * 2] = llazy[v * 2 + 1] = 1;
lazy[v * 2] += lazy[v];
lazy[v * 2 + 1] += lazy[v];
}
t[v] += lazy[v];
lazy[v] = llazy[v] = 0;
}
//Add
void Add(int v, int vl, int vr, int l, int r, ll val)
{
if (vl == l && vr == r)
{
llazy[v] = 1;
lazy[v] += val;
return;
}
Push(v, vl, vr);
int m = (vl + vr) / 2;
if (l <= m)
Add(v * 2, vl, m, l, min(r, m), val);
if (r > m)
Add(v * 2 + 1, m + 1, vr, max(l, m + 1), r, val);
Push(v * 2, vl, m);
Push(v * 2 + 1, m + 1, vr);
t[v] = max(t[v * 2], t[v * 2 + 1]);
}
//FindLast
int FindLast(int v, int vl, int vr)
{
Push(v, vl, vr);
if (vl == vr)
{
if (t[v] < 0)
return N;
return vl;
}
int m = (vl + vr) / 2;
Push(v * 2, vl, m);
Push(v * 2 + 1, m + 1, vr);
if (t[v * 2 + 1] >= 0)
return FindLast(v * 2 + 1, m + 1, vr);
return FindLast(v * 2, vl, m);
}
ll Get(int v, int vl, int vr, int pos)
{
Push(v, vl, vr);
if (vl == vr)
return t[v];
int m = (vl + vr) / 2;
if (pos <= m)
return Get(v * 2, vl, m, pos);
return Get(v * 2 + 1, m + 1, vr, pos);
}
int main()
{
int n;
cin >> n;
for (int i = 1; i <= n; i++)
{
cin >> x[i] >> g[i] >> e[i];
prefe[i] = prefe[i - 1] + e[i];
g[i] += g[i - 1];
}
Build(1, 1, n);
for (int i = 1; i <= n; i++)
Add(1, 1, n, i, i, -x[i] + prefe[i]);
for (int i = 1; i <= n; i++)
{
Add(1, 1, n, i, n, -x[i - 1] + x[i] - e[i - 1]);
/* for (int i = 1; i <= n; i++)
cout << Get(1, 1, n, i) << ' ';
cout << '\n';
*/ int ind = FindLast(1, 1, n);
if (ind == N || ind < i)
{
ans[i] = 0;
continue;
}
ans[i] = g[ind] - g[i - 1];
}
ll ma = 0;
for (int i = 1; i <= n; i++)
{
// cerr << ans[i] << ' ';
ma = max(ma, ans[i]);
}
// cerr << '\n';
cout << ma << '\n';
return 0;
}
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