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;
const int mxN=2e5, oo=1<<30;
int n, q, h[mxN], a[mxN], b[mxN], ans[mxN], ql[mxN], qr[mxN], lz[1<<19];
vector<int> ta[mxN], tu1[2*mxN], tu2[2*mxN];
array<int, 2> st[1<<19];
void app(int i, int x) {
st[i][1]=max(st[i][0]+x, st[i][1]);
lz[i]=max(x, lz[i]);
}
void psh(int i) {
app(2*i, lz[i]);
app(2*i+1, lz[i]);
lz[i]=-oo;
}
void upd1(int l1, int x, int i=1, int l2=0, int r2=n-1) {
if(l2==r2) {
st[i][0]=x;
return;
}
psh(i);
int m2=(l2+r2)/2;
if(l1<=m2)
upd1(l1, x, 2*i, l2, m2);
else
upd1(l1, x, 2*i+1, m2+1, r2);
st[i][0]=max(st[2*i][0], st[2*i+1][0]);
st[i][1]=max(st[2*i][1], st[2*i+1][1]);
}
void upd2(int l1, int r1, int x, int i=1, int l2=0, int r2=n-1) {
if(l1<=l2&&r2<=r1) {
app(i, x);
return;
}
int m2=(l2+r2)/2;
psh(i);
if(l1<=m2)
upd2(l1, r1, x, 2*i, l2, m2);
if(m2<r1)
upd2(l1, r1, x, 2*i+1, m2+1, r2);
st[i][0]=max(st[2*i][0], st[2*i+1][0]);
st[i][1]=max(st[2*i][1], st[2*i+1][1]);
}
int qry(int l1, int i=1, int l2=0, int r2=n-1) {
if(l1<=l2)
return st[i][1];
int m2=(l2+r2)/2;
psh(i);
return max(l1<=m2?qry(l1, 2*i, l2, m2):-oo, qry(l1, 2*i+1, m2+1, r2));
}
void solve() {
memset(st, 0xc0, sizeof(st));
memset(lz, 0xc0, sizeof(lz));
for(int i=0; i<n; ++i) {
for(int j : tu1[i])
upd1(j, -h[j]);
if(i-a[i]>=0)
upd2(max(i-b[i], 0), i-a[i], h[i]);
for(int j : ta[i])
ans[j]=max(qry(ql[j]), ans[j]);
for(int j : tu2[i])
upd1(j, -oo);
}
}
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
cin >> n;
for(int i=0; i<n; ++i) {
cin >> h[i] >> a[i] >> b[i];
tu1[i+a[i]].push_back(i);
tu2[i+b[i]].push_back(i);
}
cin >> q;
memset(ans, -1, 4*q);
for(int i=0; i<q; ++i) {
cin >> ql[i] >> qr[i], --ql[i], --qr[i];
ta[qr[i]].push_back(i);
}
solve();
for(int i=0; i<n; ++i)
h[i]=-h[i];
solve();
for(int i=0; i<q; ++i)
cout << ans[i] << "\n";
}
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