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 F first
#define S second
#define pb push_back
#define vll vector<ll>
#define pll pair<ll, ll>
typedef long long ll;
const ll mxN=2e5+5;
const ll inf=1e18;
struct maxsegtree{
vector<multiset<ll>> nodes;
vll tree, lazy, lazy2;
ll treelen;
void init(ll siz){
treelen=siz+1;
while(__builtin_popcount(treelen)!=1){
treelen++;
}
tree=vll(2*treelen, -inf);
lazy=vll(2*treelen, -inf);
lazy2=vll(2*treelen, inf);
nodes.resize(2*treelen);
}
void check(ll idx, ll low, ll high){
if(lazy[idx]!=-inf){
if(!nodes[idx].empty()){
tree[idx]=max(tree[idx], lazy[idx]-(*nodes[idx].begin()));
}
push(idx, low, high);
lazy[idx]=-inf;
}
if(lazy2[idx]!=inf){
if(!nodes[idx].empty()){
tree[idx]=max(tree[idx], (*prev(nodes[idx].end()))-lazy2[idx]);
}
push(idx, low, high);
lazy2[idx]=inf;
}
}
void push(ll idx, ll low, ll high){
if(low!=high){
lazy[2*idx]=max(lazy[2*idx], lazy[idx]);
lazy[2*idx+1]=max(lazy[2*idx+1], lazy[idx]);
}
if(low!=high){
lazy2[2*idx]=min(lazy2[2*idx], lazy2[idx]);
lazy2[2*idx+1]=min(lazy2[2*idx+1], lazy2[idx]);
}
}
void update(ll idx, ll low, ll high, ll qlow, ll qhigh, ll val){
check(idx, low, high);
if(low>=qlow && high<=qhigh){
if(!nodes[idx].empty()){
tree[idx]=max(tree[idx], val-(*nodes[idx].begin()));
tree[idx]=max(tree[idx], (*prev(nodes[idx].end()))-val);
}
lazy[idx]=max(lazy[idx], val);
lazy2[idx]=min(lazy2[idx], val);
push(idx, low, high);
lazy[idx]=-inf;
lazy2[idx]=inf;
return;
}
if(low>qhigh || high<qlow){
return;
}
ll mid=(low+high)/2;
update(2*idx, low, mid, qlow, qhigh, val);
update(2*idx+1, mid+1, high, qlow, qhigh, val);
tree[idx]=max(tree[2*idx], tree[2*idx+1]);
}
void rom(ll idx, ll low, ll high, ll tar, ll val){
check(idx, low, high);
if(low>tar || high<tar){
return;
}
if(low<=tar && high>=tar){
nodes[idx].erase(nodes[idx].find(val));
}
if(low!=high){
ll mid=(low+high)/2;
rom(2*idx, low, mid, tar, val);
rom(2*idx+1, mid+1, high, tar, val);
tree[idx]=max(tree[2*idx], tree[2*idx+1]);
}
}
void ins(ll idx, ll low, ll high, ll tar, ll val){
check(idx, low, high);
if(low>tar || high<tar){
return;
}
if(low<=tar && high>=tar){
nodes[idx].insert(val);
}
if(low!=high){
ll mid=(low+high)/2;
ins(2*idx, low, mid, tar, val);
ins(2*idx+1, mid+1, high, tar, val);
tree[idx]=max(tree[2*idx], tree[2*idx+1]);
}
}
ll getmax(ll idx, ll low, ll high, ll qlow, ll qhigh){
check(idx, low, high);
if(low>=qlow && high<=qhigh){
return tree[idx];
}
if(low>qhigh || high<qlow){
return -inf;
}
ll mid=(low+high)/2;
return max(getmax(2*idx, low, mid, qlow, qhigh),
getmax(2*idx+1, mid+1, high, qlow, qhigh));
}
};
ll n, q;
ll a[mxN], b[mxN], h[mxN];
vector<pll> qry[mxN];
ll ans[mxN];
vector<pll> in[mxN], out[mxN];
maxsegtree seg;
void solve(){
memset(ans, 0, sizeof(ans));
cin>>n;
for(ll i=0;i<n;i++){
cin>>h[i]>>a[i]>>b[i];
if(i+a[i]<n) in[i+a[i]].pb({h[i], i});
if(i+b[i]+1<n) out[i+b[i]+1].pb({h[i], i});
}
cin>>q;
for(ll i=0;i<q;i++){
ll l, r;
cin>>l>>r;
l--; r--;
qry[r].pb({l, i});
}
seg.init(n);
for(ll i=0;i<n;i++){
for(auto &[x, y]:in[i]){
seg.ins(1, 0, seg.treelen-1, y, x);
}
for(auto &[x, y]:out[i]){
seg.rom(1, 0, seg.treelen-1, y, x);
}
if(i-a[i]>=0){
seg.update(1, 0, seg.treelen-1, max(i-b[i], 0LL), i-a[i], h[i]);
}
for(auto &[x, y]:qry[i]){
ll re=seg.getmax(1, 0, seg.treelen-1, x, i);
if(re==-inf){
ans[y]=-1;
}
else{
ans[y]=re;
}
}
}
for(ll i=0;i<q;i++){
cout<<ans[i]<<'\n';
}
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
solve();
return 0;
}
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