Submission #1149941

#TimeUsernameProblemLanguageResultExecution timeMemory
1149941Zero_OPTwo Antennas (JOI19_antennas)C++20
100 / 100
482 ms42596 KiB
#include <bits/stdc++.h>

using namespace std;

//loops (warning : long long)
#define FOR(i, l, r) for(int i = (l); i < (r); ++i)
#define ROF(i, r, l) for(int i = (r - 1); i >= l; --i)

//pairs, tuples
#define mp make_pair
#define mt make_tuple
#define ff first
#define ss second

//vectors
#define all(v) begin(v), end(v)
#define rall(v) rbegin(v), rend(v)
#define pb push_back
#define eb emplace_back
#define sum_of(v) accumulate(all(v), 0ll)
#define sz(v) (int)v.size()
#define compact(v) v.erase(unique(all(v)), end(v))

//binary search
#define lwb lower_bound
#define upb upper_bound

//other stuffs
#define dbg(x) "[" #x " = " << (x) << "]"
#define file(task) if(fopen(task".inp", "r")){ freopen(task".inp", "r", stdin); freopen(task".out", "w", stdout); }

template<typename T>
bool minimize(T& a, const T& b){
    if(a > b) return a = b, true;
    return false;
}

template<typename T>
bool maximize(T& a, const T& b){
    if(a < b) return a = b, true;
    return false;
}

using ll = long long;
using ull = unsigned long long;
using ld = long double;
using db = double;
using pi = pair<int, int>;
using pl = pair<ll, ll>;

using vi = vector<int>;
using vb = vector<bool>;
using vl = vector<ll>;
using vpi = vector<pi>;
using vpl = vector<pl>;

mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());

const int MAX = 3e5 + 5;
const int inf = 1e9 + 7;

struct SegmentTree{
    struct Node{
        int minH, maxH, lazyMin, lazyMax, result;
        Node() : minH(inf), maxH(-inf), lazyMin(inf), lazyMax(-inf), result(-1) {}
    };

    vector<Node> st;    
    SegmentTree(int n) : st(n << 2, Node()) {}

    void apply(int id, int val){
        maximize(st[id].result, val - st[id].minH);
        maximize(st[id].result, st[id].maxH - val);
        minimize(st[id].lazyMin, val);
        maximize(st[id].lazyMax, val);
    }

    void pull(int id){
        st[id].result = max(st[id << 1].result, st[id << 1 | 1].result);
        st[id].minH = min(st[id << 1].minH, st[id << 1 | 1].minH);
        st[id].maxH = max(st[id << 1].maxH, st[id << 1 | 1].maxH);
    }

    void down(int id){
        if(st[id].lazyMin != inf){
            apply(id << 1, st[id].lazyMin);
            apply(id << 1 | 1, st[id].lazyMin);
            st[id].lazyMin = inf;
        }

        if(st[id].lazyMax != -inf){
            apply(id << 1, st[id].lazyMax);
            apply(id << 1 | 1, st[id].lazyMax);
            st[id].lazyMax = -inf;
        }
    }

    void apply_range(int id, int l, int r, int u, int v, int val){
        if(u <= l && r <= v) apply(id, val);
        else{
            int mid = l + r >> 1;
            down(id);
            if(u <= mid) apply_range(id << 1, l, mid, u, v, val);
            if(mid < v)  apply_range(id << 1 | 1, mid + 1, r, u, v, val);
            pull(id);
        }
    }

    void update_position(int id, int l, int r, int pos, int val){
        if(l == r){
            if(val == -1) st[id].minH = inf, st[id].maxH = -inf;
            else st[id].minH = st[id].maxH = val;
        } else{
            int mid = l + r >> 1;
            down(id);
            if(pos <= mid) update_position(id << 1, l, mid, pos, val);
            else update_position(id << 1 | 1, mid + 1, r, pos, val);
            pull(id);
        }
    }

    int query(int id, int l, int r, int u, int v){
        if(v < l || u > r) return -1;
        if(u <= l && r <= v) return st[id].result;
        int mid = l + r >> 1;
        down(id);
        return max(query(id << 1, l, mid, u, v), query(id << 1 | 1, mid + 1, r, u, v));
    }
};

void testcase(int ntestcase){
    int N;
    cin >> N;
    vi H(N), A(N), B(N);
    FOR(i, 0, N) cin >> H[i] >> A[i] >> B[i];

    vector<vi> in(N), out(N);
    FOR(i, 0, N){
        if(i + A[i] < N) in[i + A[i]].pb(i);
        if(i + B[i] < N) out[i + B[i]].pb(i);
    }

    SegmentTree T(N);

    int Q;
    cin >> Q;
    vector<vpi> queries(N);
    FOR(i, 0, Q){
        int l, r;
        cin >> l >> r;
        --l, --r;
        queries[r].pb(mp(l, i));
    }

    vi result(Q);
    FOR(i, 0, N){
        for(auto j : in[i]) T.update_position(1, 0, N - 1, j, H[j]);
        if(i - A[i] >= 0) T.apply_range(1, 0, N - 1, max(0, i - B[i]), i - A[i], H[i]);
        for(auto [j, id] : queries[i]) result[id] = T.query(1, 0, N - 1, j, i);
        for(auto j : out[i]) T.update_position(1, 0, N - 1, j, -1);
    }

    FOR(i, 0, Q) cout << result[i] << '\n';
}

int main(){
    ios_base::sync_with_stdio(0); cin.tie(0);

#ifdef LOCAL
    freopen("in.txt", "r", stdin);
#endif // LOCAL

    int T = 1;
//    cin >> T;
    FOR(i, 0, T) testcase(i);

    return 0;
}
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