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Submission #1095739

# Submission time Handle Problem Language Result Execution time Memory
1095739 2024-10-03T04:32:54 Z eysbutno Hedgehog Daniyar and Algorithms (IZhO19_sortbooks) C++17
100 / 100
 1871 ms 122448 KB 
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using pii = array<int, 2>;
#define all(x) begin(x), end(x)
#define sz(x) (int) (x).size()
 
template <class Info, class Tag> 
class LazySegtree {
  private:
    const int n;
    vector<Info> tree;
    vector<Tag> lazy;
       
    void build(int v, int l, int r, const vector<Info> &a) {
        if (l == r) {
            tree[v] = a[l];
        } else {
            int m = (l + r) >> 1;
            build(2 * v, l, m, a);
            build(2 * v + 1, m + 1, r, a);
            tree[v] = tree[2 * v] + tree[2 * v + 1];
        }
    }
 
    void apply(int v, int l, int r, const Tag &x) {
        tree[v].apply(x, l, r);
        lazy[v].apply(x);
    }
 
    void push_down(int v, int l, int r) {
        int m = (l + r) >> 1;
        apply(2 * v, l, m, lazy[v]);
        apply(2 * v + 1, m + 1, r, lazy[v]);
        lazy[v] = Tag();
    }
 
    void upd(int v, int l, int r, int ql, int qr, const Tag &x) {
        if (qr < l || ql > r) { return; }
        if (ql <= l && r <= qr) {
            apply(v, l, r, x);
        } else {
            push_down(v, l, r);
            int m = (l + r) >> 1;
            upd(2 * v, l, m, ql, qr, x);
            upd(2 * v + 1, m + 1, r, ql, qr, x);
            tree[v] = tree[2 * v] + tree[2 * v + 1];
        }
    }
    
    Info qry(int v, int l, int r, int ql, int qr) {
        if (qr < l || ql > r) { return Info(); }
        if (l >= ql && r <= qr) { return tree[v]; }
        push_down(v, l, r);
        int m = (l + r) >> 1;
        return qry(2 * v, l, m, ql, qr) + qry(2 * v + 1, m + 1, r, ql, qr);
    }
 
  public:
    LazySegtree(const vector<Info> &a) : n(a.size()) {
        tree.assign(4 << __lg(n), Info());
        lazy.assign(4 << __lg(n), Tag());
        build(1, 0, n - 1, a);
    }
 
    /** updates [ql, qr] with the arbitrary update chosen */
    void upd(int ql, int qr, const Tag &x) {
        upd(1, 0, n - 1, ql, qr, x);
    }
 
    /** @return result of range query on [ql, qr] */
    Info qry(int ql, int qr) {
        return qry(1, 0, n - 1, ql, qr);
    }
};
 
struct Tag {
    int st = -1;
    /** applies another lazy update to this update */
    void apply(const Tag &t) {
        if (t.st != -1) {
            st = t.st;
        }
    }
};
 
struct Info {
    int mx = -1;
    int applied = -1;
    /** applies an update to this tree node */
    void apply(const Tag &t, int l, int r) {
        if (t.st != -1) {
            applied = mx + t.st;
        }
    }
};
 
/** @return result of joining nodes a and b together */
Info operator+(const Info &a, const Info &b) {
    return {max(a.mx, b.mx), max(a.applied, b.applied)};
}
 
int main() {
    int n, q;
    cin >> n >> q;
    vector<int> w(n);
    for (int &i : w) { cin >> i; }

    vector<Info> arr(n);
    for (int i = 0; i < n; i++) {
        arr[i] = {w[i], 0};
    }
    LazySegtree<Info, Tag> st(arr);

    vector<vector<array<int, 3>>> tests(n);
    for (int i = 0; i < q; i++) {
        int l, r, k;
        cin >> l >> r >> k;
        --l, --r;
        tests[l].push_back({r, k, i});
    }

    vector<bool> res(q);
    stack<int> stk;
    for (int i = n - 1; i >= 0; i--) {
        while (sz(stk) && w[stk.top()] < w[i]) {
            stk.pop();
        }
        int b = stk.empty() ? n : stk.top();
        stk.push(i);
        st.upd(i + 1, b - 1, {w[i]});
        for (auto [r, k, idx] : tests[i]) {
            res[idx] = st.qry(i, r).applied <= k;
        }
    }

    for (int i = 0; i < q; i++) {
        cout << res[i] << "\n";
    }
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 4 ms 604 KB Output is correct
12 Correct 5 ms 756 KB Output is correct
13 Correct 5 ms 860 KB Output is correct
14 Correct 7 ms 860 KB Output is correct
15 Correct 7 ms 1040 KB Output is correct
16 Correct 6 ms 856 KB Output is correct
17 Correct 4 ms 860 KB Output is correct
18 Correct 4 ms 1116 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1870 ms 115928 KB Output is correct
2 Correct 1756 ms 116980 KB Output is correct
3 Correct 1871 ms 116388 KB Output is correct
4 Correct 1805 ms 116840 KB Output is correct
5 Correct 1735 ms 120944 KB Output is correct

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 118 ms 11296 KB Output is correct
2 Correct 113 ms 11164 KB Output is correct
3 Correct 123 ms 11604 KB Output is correct
4 Correct 121 ms 11604 KB Output is correct
5 Correct 133 ms 11856 KB Output is correct
6 Correct 107 ms 10984 KB Output is correct
7 Correct 105 ms 10832 KB Output is correct
8 Correct 105 ms 10892 KB Output is correct
9 Correct 55 ms 3340 KB Output is correct
10 Correct 95 ms 10896 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 4 ms 604 KB Output is correct
12 Correct 5 ms 756 KB Output is correct
13 Correct 5 ms 860 KB Output is correct
14 Correct 7 ms 860 KB Output is correct
15 Correct 7 ms 1040 KB Output is correct
16 Correct 6 ms 856 KB Output is correct
17 Correct 4 ms 860 KB Output is correct
18 Correct 4 ms 1116 KB Output is correct
19 Correct 343 ms 24916 KB Output is correct
20 Correct 320 ms 24912 KB Output is correct
21 Correct 278 ms 24484 KB Output is correct
22 Correct 286 ms 24488 KB Output is correct
23 Correct 275 ms 24388 KB Output is correct
24 Correct 261 ms 24996 KB Output is correct
25 Correct 257 ms 24936 KB Output is correct
26 Correct 290 ms 25424 KB Output is correct
27 Correct 273 ms 25428 KB Output is correct
28 Correct 283 ms 25272 KB Output is correct
29 Correct 314 ms 25940 KB Output is correct
30 Correct 326 ms 25940 KB Output is correct
31 Correct 320 ms 25908 KB Output is correct
32 Correct 312 ms 25684 KB Output is correct
33 Correct 325 ms 25892 KB Output is correct
34 Correct 249 ms 24144 KB Output is correct
35 Correct 250 ms 24148 KB Output is correct
36 Correct 262 ms 23860 KB Output is correct
37 Correct 265 ms 23892 KB Output is correct
38 Correct 276 ms 24144 KB Output is correct
39 Correct 254 ms 23308 KB Output is correct
40 Correct 205 ms 19672 KB Output is correct
41 Correct 277 ms 22816 KB Output is correct

Subtask #6
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 4 ms 604 KB Output is correct
12 Correct 5 ms 756 KB Output is correct
13 Correct 5 ms 860 KB Output is correct
14 Correct 7 ms 860 KB Output is correct
15 Correct 7 ms 1040 KB Output is correct
16 Correct 6 ms 856 KB Output is correct
17 Correct 4 ms 860 KB Output is correct
18 Correct 4 ms 1116 KB Output is correct
19 Correct 1870 ms 115928 KB Output is correct
20 Correct 1756 ms 116980 KB Output is correct
21 Correct 1871 ms 116388 KB Output is correct
22 Correct 1805 ms 116840 KB Output is correct
23 Correct 1735 ms 120944 KB Output is correct
24 Correct 118 ms 11296 KB Output is correct
25 Correct 113 ms 11164 KB Output is correct
26 Correct 123 ms 11604 KB Output is correct
27 Correct 121 ms 11604 KB Output is correct
28 Correct 133 ms 11856 KB Output is correct
29 Correct 107 ms 10984 KB Output is correct
30 Correct 105 ms 10832 KB Output is correct
31 Correct 105 ms 10892 KB Output is correct
32 Correct 55 ms 3340 KB Output is correct
33 Correct 95 ms 10896 KB Output is correct
34 Correct 343 ms 24916 KB Output is correct
35 Correct 320 ms 24912 KB Output is correct
36 Correct 278 ms 24484 KB Output is correct
37 Correct 286 ms 24488 KB Output is correct
38 Correct 275 ms 24388 KB Output is correct
39 Correct 261 ms 24996 KB Output is correct
40 Correct 257 ms 24936 KB Output is correct
41 Correct 290 ms 25424 KB Output is correct
42 Correct 273 ms 25428 KB Output is correct
43 Correct 283 ms 25272 KB Output is correct
44 Correct 314 ms 25940 KB Output is correct
45 Correct 326 ms 25940 KB Output is correct
46 Correct 320 ms 25908 KB Output is correct
47 Correct 312 ms 25684 KB Output is correct
48 Correct 325 ms 25892 KB Output is correct
49 Correct 249 ms 24144 KB Output is correct
50 Correct 250 ms 24148 KB Output is correct
51 Correct 262 ms 23860 KB Output is correct
52 Correct 265 ms 23892 KB Output is correct
53 Correct 276 ms 24144 KB Output is correct
54 Correct 254 ms 23308 KB Output is correct
55 Correct 205 ms 19672 KB Output is correct
56 Correct 277 ms 22816 KB Output is correct
57 Correct 1778 ms 118368 KB Output is correct
58 Correct 1779 ms 118332 KB Output is correct
59 Correct 1697 ms 116104 KB Output is correct
60 Correct 1623 ms 116316 KB Output is correct
61 Correct 1658 ms 116192 KB Output is correct
62 Correct 1794 ms 116100 KB Output is correct
63 Correct 1348 ms 113800 KB Output is correct
64 Correct 1341 ms 113764 KB Output is correct
65 Correct 1665 ms 120196 KB Output is correct
66 Correct 1713 ms 120228 KB Output is correct
67 Correct 1698 ms 120400 KB Output is correct
68 Correct 1692 ms 122448 KB Output is correct
69 Correct 1705 ms 122404 KB Output is correct
70 Correct 1757 ms 121948 KB Output is correct
71 Correct 1729 ms 122020 KB Output is correct
72 Correct 1789 ms 121912 KB Output is correct
73 Correct 1275 ms 110060 KB Output is correct
74 Correct 1325 ms 110944 KB Output is correct
75 Correct 1366 ms 110160 KB Output is correct
76 Correct 1355 ms 110012 KB Output is correct
77 Correct 1289 ms 110164 KB Output is correct
78 Correct 1415 ms 110848 KB Output is correct
79 Correct 1106 ms 86192 KB Output is correct
80 Correct 1340 ms 107252 KB Output is correct