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;
typedef long long ll;
typedef pair<int, int> pii;
#define fi first
#define se second
#define mp make_pair
#define fastIO ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
const int N = (int)4e5 + 100;
const ll inf = (ll)1e16;
vector<int> add[N], rem[N];
int H[N], A[N], B[N];
struct Node{
ll lazy;
ll mxa;
ll res;
};
Node T[N * 4];
void init(){
for(int i = 0 ; i < N * 4; i ++ ){
T[i] = {-inf, -inf, -inf};
}
}
void push(int node, int cl, int cr){
T[node].res = max(T[node].res, T[node].mxa + T[node].lazy);
if(cl != cr){
T[node * 2].lazy = max(T[node * 2].lazy, T[node].lazy);
T[node * 2 + 1].lazy = max(T[node * 2 + 1].lazy, T[node].lazy);
}
T[node].lazy = -inf;
}
void setv(int node, int cl, int cr, int pos, ll vl){
push(node, cl, cr);
if(cl == cr){
T[node].mxa = vl;
T[node].res = max(T[node].res, T[node].mxa + T[node].lazy);
return;
}
int mid = (cl + cr) / 2;
if(mid >= pos){
setv(node * 2, cl, mid, pos, vl);
}
else{
setv(node * 2 + 1, mid + 1, cr, pos, vl);
}
T[node].res = max({T[node].res, T[node * 2].res, T[node * 2 + 1].res});
T[node].mxa = max(T[node * 2].mxa, T[node * 2 + 1].mxa);
}
ll get(int node, int cl, int cr, int tl, int tr){
push(node, cl, cr);
if(cr < tl || cl > tr)
return -inf;
if(cl >= tl && cr <= tr)
return T[node].res;
int mid = (cl + cr) / 2;
return max(get(node * 2, cl, mid, tl, tr), get(node * 2 + 1, mid + 1, cr, tl, tr));
}
void upd(int node, int cl, int cr, int tl, int tr, ll vl){
push(node, cl, cr);
if(cr < tl || cl > tr)
return;
if(cl >= tl && cr <= tr){
T[node].lazy = vl;
push(node, cl, cr);
return;
}
int mid = (cl + cr) / 2;
upd(node * 2, cl, mid, tl, tr, vl);
upd(node * 2 + 1, mid + 1, cr, tl, tr, vl);
T[node].res = max({T[node].res, T[node * 2].res, T[node * 2 + 1].res});
}
int n;
int L[N], R[N];
vector<int> iq[N];
ll answ[N];
void solve(){
init();
int ni, nj;
for(int i = 1; i <= n; i ++ ){
for(auto x : add[i]){
setv(1, 1, n, x, -H[x]);
}
ni = max(1, i - B[i]);
nj = max(0, i - A[i]);
upd(1, 1, n, ni, nj, H[i]);
for(auto x : iq[i]){
answ[x] = max(answ[x], get(1, 1, n, L[x], R[x]));
}
for(auto x : rem[i]){
setv(1, 1, n, x, -inf);
}
}
}
int main(){
fastIO;
cin >> n;
for(int i = 1; i <= n; i ++ ){
cin >> H[i] >> A[i] >> B[i];
add[i + A[i]].push_back(i);
rem[i + B[i]].push_back(i);
}
int q;
cin >> q;
for(int i = 1; i <= q; i ++ ){
cin >> L[i] >> R[i];
iq[R[i]].push_back(i);
answ[i] = -inf;
}
solve();
for(int i = 1; i <= n; i ++ )
H[i] = -H[i];
solve();
for(int i = 1; i <= q; i ++ ){
if(answ[i] < 0)
answ[i] = -1;
cout << answ[i] << "\n";
}
return 0;
}
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