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 all(x) (x).begin(), (x).end()
#define sz(x) ( (int)(x).size() )
using LL = long long;
template<class T>
inline bool asMn(T &a, const T &b) { return a > b ? a = b, true : false; }
template<class T>
inline bool asMx(T &a, const T &b) { return a < b ? a = b, true : false; }
const int inf = 1e9 + 7;
mt19937 rng( (uint32_t)chrono::steady_clock::now().time_since_epoch().count() );
int n;
vector<tuple<int, int, int> > antennas;
struct Node {
int ans, mnH, mxH;
Node(int _ans = -1, int _mnH = inf, int _mxH = -inf) : ans(_ans), mnH(_mnH), mxH(_mxH) {}
Node operator + (const Node &_) const { return Node(max(ans, _.ans), min(mnH, _.mnH), max(mxH, _.mxH) );}
};
struct Lz {
int mnH, mxH;
Lz(int _mnH = inf, int _mxH = -inf) : mnH(_mnH), mxH(_mxH) {}
bool operator == (const Lz &_) const { return mnH == _.mnH && mxH == _.mxH; }
Lz& operator += (const Lz& _) { asMn(mnH, _.mnH); asMx(mxH, _.mxH); return *this; }
};
struct It {
vector<Node> node;
vector<Lz> lz;
It(int nNode) {
node.assign(nNode, Node() );
lz.assign(nNode, Lz() );
}
void trueVal(int i, int Left, int Right) {
if (lz[i] == Lz() ) return ;
if (node[i].mnH < inf) {
asMx(node[i].ans, abs(lz[i].mnH - node[i].mxH) );
asMx(node[i].ans, abs(lz[i].mxH - node[i].mnH) );
}
if (Left != Right) {
lz[i << 1] += lz[i];
lz[i << 1 | 1] += lz[i];
}
lz[i] = Lz();
}
void ins(int pos, int i = 1, int Left = 0, int Right = n - 1) {
trueVal(i, Left, Right);
if (pos < Left || Right < pos) return ;
if (Left == Right) {
node[i].mnH = node[i].mxH = get<0>(antennas[pos]);
return ;
}
int Mid = (Left + Right) >> 1;
ins(pos, i << 1, Left, Mid);
ins(pos, i << 1 | 1, Mid + 1, Right);
node[i] = node[i << 1] + node[i << 1 | 1];
}
void era(int pos, int i = 1, int Left = 0, int Right = n - 1) {
trueVal(i, Left, Right);
if (pos < Left || Right < pos) return ;
if (Left == Right) {
node[i].mnH = node[i].mxH = get<0>(antennas[pos]);
return ;
}
int Mid = (Left + Right) >> 1;
era(pos, i << 1, Left, Mid);
era(pos, i << 1 | 1, Mid + 1, Right);
node[i] = node[i << 1] + node[i << 1 | 1];
}
void upd(int l, int r, int h, int i = 1, int Left = 0, int Right = n - 1) {
trueVal(i, Left, Right);
if (r < Left || Right < l) return ;
if (l <= Left && Right <= r) {
lz[i] = Lz(h, h); trueVal(i, Left, Right);
return ;
}
int Mid = (Left + Right) >> 1;
upd(l, r, h, i << 1, Left, Mid);
upd(l, r, h, i << 1 | 1, Mid + 1, Right);
node[i] = node[i << 1] + node[i << 1 | 1];
}
int getAns(int l, int r, int i = 1, int Left = 0, int Right = n - 1) {
trueVal(i, Left, Right);
if (r < Left || Right < l) return -1;
if (l <= Left && Right <= r) return node[i].ans;
int Mid = (Left + Right) >> 1;
return max(getAns(l, r, i << 1, Left, Mid), getAns(l, r, i << 1 | 1, Mid + 1, Right) );
}
};
int main() {
ios_base::sync_with_stdio(0); cin.tie(0);
#ifdef FourLeafClover
freopen("input", "r", stdin);
#endif // FourLeafCLover
cin >> n;
antennas.assign(n, {} );
vector<vector<pair<int, bool> > > change(n);
for (int i = 0; i < n; ++i) {
cin >> get<0>(antennas[i]) >> get<1>(antennas[i]) >> get<2>(antennas[i]);
if (i + get<1>(antennas[i]) < n) change[i + get<1>(antennas[i])].emplace_back(i, true);
if (i + get<2>(antennas[i]) + 1 < n) change[i + get<2>(antennas[i]) + 1].emplace_back(i, false);
}
int q; cin >> q;
vector<vector<pair<int, int> > > que(n);
for (int i = 0; i < q; ++i) {
int l, r; cin >> l >> r; --l; --r;
que[r].emplace_back(l, i);
}
It it( (n + 5) << 2);
vector<int> ans(q);
for (int r = 0; r < n; ++r) {
for (auto _ : change[r]) {
int pos = _.first; bool ins = _.second;
if (ins) it.ins(pos);
else it.era(pos);
}
it.upd(r - get<2>(antennas[r]), r - get<1>(antennas[r]), get<0>(antennas[r]) );
for (auto _ : que[r]) {
int l = _.first, id = _.second;
ans[id] = it.getAns(l, r);
}
}
for (auto i : ans) cout << i << '\n';
return 0;
}
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