Submission #1322487

#TimeUsernameProblemLanguageResultExecution timeMemory
1322487chithanhnguyenHedgehog Daniyar and Algorithms (IZhO19_sortbooks)C++20
100 / 100
856 ms105428 KiB
/*
Author: Nguyen Chi Thanh - High School for the Gifted - VNU.HCM (i2528)
*/
#include <bits/stdc++.h>
using namespace std;

#define int long long
#define ull unsigned long long
#define ld long double
#define pii pair<int, int>
#define fi first
#define se second
#define __builtin_popcount __builtin_popcountll
#define all(x) (x).begin(), (x).end()
#define BIT(x, i) (((x) >> (i)) & 1)
#define MASK(x) ((1ll << (x)))

#define debug(a, l, r) for (int _i = (l); _i <= (r); ++_i) cout << (a)[_i] << ' '; cout << '\n';

const int INF = 1e18 + 5;

struct SegmentTree{
    int n; vector<int> st;

    SegmentTree() {
    }

    SegmentTree(int n) : n(n) {
        st.resize(4 * n + 5, 0ll);
    }

    void update(int id, int l, int r, int pos, int val) {
        if (l > pos || r < pos) return;
 
        if (l == r) {
            st[id] = max(st[id], val);
            return;
        }
 
        int mid = (l + r) >> 1;
        update(id << 1, l, mid, pos, val);
        update((id << 1) | 1, mid + 1, r, pos, val);
 
        st[id] = max(st[id << 1], st[(id << 1) | 1]);
    }

    int get(int id, int l, int r, int u, int v) {
        if (l > v || r < u) return -INF;
        if (l >= u && r <= v) return st[id];
 
        int mid = (l + r) >> 1;
        int get1 = get(id << 1, l, mid, u, v);
        int get2 = get((id << 1) | 1, mid + 1, r, u, v);
 
        return max(get1, get2);
    }
 
    void update(int l, int r) {
        update(1, 1, n, l, r);
    }
 
    int get(int l, int r) {
        return get(1, 1, n, l, r);
    }
};

struct Query {
    int l, k, id;
};

const int MAXN = 1e6 + 6;
int n, q, a[MAXN], l[MAXN];
vector<Query> queries[MAXN];

void init() {
    cin >> n >> q;
    for (int i = 1; i <= n; ++i) cin >> a[i];
    for (int i = 1; i <= q; ++i) {
        int l, r, k; cin >> l >> r >> k;
        queries[r].push_back({l, k, i});
    }

    vector<int> stk; // Vector-based stack
    for (int i = 1; i <= n; ++i) {
        while (!stk.empty() && a[stk.back()] <= a[i]) stk.pop_back();
        l[i] = (stk.empty() ? 0 : stk.back());
        stk.push_back(i);
    }
}

bitset<MAXN> ans;

void solve() {
    SegmentTree seg(n + 5);

    for (int r = 1; r <= n; ++r) {
        if (l[r] != 0) seg.update(l[r], a[r] + a[l[r]]);
        for (auto &qry : queries[r]) {
            int l = qry.l, k = qry.k, id = qry.id;
            int mxval = seg.get(l, r);
            ans[id] = (mxval <= k);
        }
    }

    for (int i = 1; i <= q; ++i) cout << ans[i] << '\n';
}

signed main() {
    #ifdef NCTHANH
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
    #endif
    ios_base::sync_with_stdio(0);
    cin.tie(nullptr); cout.tie(nullptr);

    init();
    solve();

    return 0;
}
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