Submission #1298464

#TimeUsernameProblemLanguageResultExecution timeMemory
1298464thieunguyenhuyTwo Antennas (JOI19_antennas)C++20
100 / 100
413 ms43484 KiB
#include <bits/stdc++.h>
using namespace std;

#define POPCOUNT(n) (__builtin_popcountll((n)))
#define CLZ(n) (__builtin_clzll((n)))
#define CTZ(n) (__builtin_ctzll((n)))
#define LOG(n) (63 - __builtin_clzll((n)))
#define BIT(n, i) (((n) >> (i)) & 1ll)
#define MASK(i) (1ll << (i))
#define FLIP(n, i) ((n) ^ (1ll << (i)))
#define ON(n, i) ((n) | MASK(i))
#define OFF(n, i) ((n) & ~MASK(i))

#define Int __int128
#define fi first
#define se second

typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<long long, long long> pll;
typedef pair<long long, int> pli;
typedef pair<int, long long> pil;
typedef vector<pair<int, int>> vii;
typedef vector<pair<long long, long long>> vll;
typedef vector<pair<long long, int>> vli;
typedef vector<pair<int, long long>> vil;

template <class T1, class T2> bool maximize(T1 &x, T2 y) {
    if (x < y) {
        x = y;
        return true;
    }
    return false;
}
template <class T1, class T2> bool minimize(T1 &x, T2 y) {
    if (x > y) {
        x = y;
        return true;
    }
    return false;
}

template <class T> void remove_duplicate(vector<T> &ve) {
    sort (ve.begin(), ve.end());
    ve.resize(unique(ve.begin(), ve.end()) - ve.begin());
}

mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
long long random(long long l, long long r) {
    return uniform_int_distribution<long long>(l, r)(rng);
}
unsigned long long random(unsigned long long l, unsigned long long r) {
    return uniform_int_distribution<unsigned long long>(l, r)(rng);
}
template <class T> T random(T r) {
    return rng() % r;
}

const int N = 1e6 + 5;
const int MOD = 1e9 + 7;
const int inf = 1e9 + 69;
const long long INF = 1e18;

int n, q;
int h[N], a[N], b[N], ans[N];
vector<int> events[N];
vii que[N];

struct SegmentTree {
	struct Node {
		int maxH, minH, maxC, minC, ans;

		Node() {
			maxH = maxC = -inf;
			minH = minC = inf;
			ans = -inf;
		}

		Node operator + (const Node &other) {
			Node res;
			res.maxH = max(maxH, other.maxH);
			res.minH = min(minH, other.minH);
			res.ans = max(ans, other.ans);
			// res.maxC = max(maxC, other.maxC);
			// res.minC = min(minC, other.minC);
			return res;
		}
	};
	
	vector<Node> nodes;
	vector<int> lazyMax, lazyMin;
	int n;

	SegmentTree(int _n = 0) {
		resize(_n);
	}

	void resize(int _n) {
		n = _n;
		nodes.assign(4 * n + 5, Node());
		lazyMax.assign(4 * n + 5, -inf);
		lazyMin.assign(4 * n + 5, inf);
	}

	void apply(int id, int valMax, int valMin) {
		maximize(nodes[id].maxC, valMax);
		minimize(nodes[id].minC, valMin);
		maximize(nodes[id].ans, nodes[id].maxH - nodes[id].minC);
		maximize(nodes[id].ans, nodes[id].maxC - nodes[id].minH);
		maximize(lazyMax[id], valMax);
		minimize(lazyMin[id], valMin);
	}

	void push(int id) {
		if (lazyMax[id] == -inf) return;
		apply(id << 1, lazyMax[id], lazyMin[id]);
		apply(id << 1 | 1, lazyMax[id], lazyMin[id]);
		lazyMax[id] = -inf, lazyMin[id] = inf;
	}

	void update(int id, int l, int r, int p, int val) {
		if (l == r) {
			if (val != inf) nodes[id].maxH = nodes[id].minH = val;
			else nodes[id].maxH = -inf, nodes[id].minH = inf;
			nodes[id].maxC = -inf, nodes[id].minC = inf;
			return;
		}
		push(id); int mid = (l + r) >> 1;
		nodes[id].maxC = -inf, nodes[id].minC = inf;
		if (p <= mid) update(id << 1, l, mid, p, val);
		else update(id << 1 | 1, mid + 1, r, p, val);
		nodes[id] = nodes[id << 1] + nodes[id << 1 | 1];
		// cerr << id << ' ' << l << ' ' << r << ' ' << nodes[id].ans << '\n';
	}

	void update(int p, int val) {
		update(1, 1, n, p, val);
	}

	void updateC(int id, int l, int r, int u, int v, int val) {
		if (l > v || r < u) return;
		// cerr << "update " << id << ' ' << l << ' ' << r << ' ' << nodes[id].maxH << '\n';
		if (u <= l && r <= v) {
			apply(id, val, val);
			// cerr << "id " << nodes[id].ans << '\n';
			return;
		}
		push(id); int mid = (l + r) >> 1;
		updateC(id << 1, l, mid, u, v, val);
		updateC(id << 1 | 1, mid + 1, r, u, v, val);
		nodes[id] = nodes[id << 1] + nodes[id << 1 | 1];
	}

	void updateC(int u, int v, int val) {
		maximize(u, 1);
		minimize(v, n);
		return updateC(1, 1, n, u, v, val);
	}

	int get(int id, int l, int r, int u, int v) {
		if (l > v || r < u) return -inf;
		if (u <= l && r <= v) return nodes[id].ans;
		push(id); int mid = (l + r) >> 1;
		return max(get(id << 1, l, mid, u, v), get(id << 1 | 1, mid + 1, r, u, v));
	}

	int get(int u, int v) {
		maximize(u, 1);
		minimize(v, n);
		if (u > v) return -inf;
		return get(1, 1, n, u, v);
	}
};

void addEvent(int p, int type) {
	if (p <= n) events[p].emplace_back(type);
}

signed main() {
    ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);

    cin >> n;

    for (int i = 1; i <= n; ++i) cin >> h[i] >> a[i] >> b[i];

    cin >> q;
	for (int i = 1; i <= q; ++i) {
		int l, r; cin >> l >> r;
		que[r].emplace_back(l, i);
		ans[i] = -inf;
	}

	SegmentTree mytree(n);
	for (int r = 1; r <= n; ++r) {
		for (auto p : events[r]) {
			// if (r == 4) {
			// 	cerr << "broccoli = " << p << '\n';
			// 	if (p > 0) continue;
			// }
			if (p > 0) mytree.update(p, h[p]);
			else mytree.update(-p, inf);
		}

		// cerr << max(1, r - b[r]) << ' ' << r - a[r] << '\n';
		mytree.updateC(r - b[r], r - a[r], h[r]);
		for (auto [l, id] : que[r]) {
			auto tmp = mytree.get(l, r);
			ans[id] = tmp;
		}

		addEvent(r + a[r], r);
		addEvent(r + b[r] + 1, -r);
	}

	for (int i = 1; i <= q; ++i)
		cout << (ans[i] < 0 ? -1 : ans[i]) << '\n';
    return 0;
}
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