oj.uz

Submission #1095738

# Submission time Handle Problem Language Result Execution time Memory
1095738 2024-10-03T04:23:28 Z eysbutno Hedgehog Daniyar and Algorithms (IZhO19_sortbooks) C++17
100 / 100
 1267 ms 122580 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> t;
    vector<Tag> lz;
       
    void build(int v, int l, int r, const vector<Info> &a) {
        if (l == r) {
            t[v] = a[l];
        } else {
            int m = (l + r) >> 1;
            build(2 * v, l, m, a);
            build(2 * v + 1, m + 1, r, a);
            t[v] = t[2 * v] + t[2 * v + 1];
        }
    }
 
    void apply(int v, int l, int r, const Tag &x) {
        t[v].apply(x, l, r);
        lz[v].apply(x);
    }
 
    void pushdown(int v, int l, int r) {
        int m = (l + r) >> 1;
        apply(2 * v, l, m, lz[v]);
        apply(2 * v + 1, m + 1, r, lz[v]);
        lz[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 {
            pushdown(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);
            t[v] = t[2 * v] + t[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 t[v];
        pushdown(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() {}
    
    LazySegtree(int n) : n(n) {
        t.assign(4 << __lg(n), Info());
        lz.assign(4 << __lg(n), Tag());
    }
 
    LazySegtree(const vector<Info> &a) : n(a.size()) {
        t.assign(4 << __lg(n), Info());
        lz.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;
    void apply(const Tag &t) {
        if (t.st != -1) {
            st = t.st;
        }
    }
};
 
struct Info {
    int mx = -1, applied = -1;
    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() {
    cin.tie(0) -> sync_with_stdio(0);
    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 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 440 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 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 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 440 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 2 ms 604 KB Output is correct
12 Correct 3 ms 860 KB Output is correct
13 Correct 5 ms 860 KB Output is correct
14 Correct 6 ms 856 KB Output is correct
15 Correct 4 ms 856 KB Output is correct
16 Correct 3 ms 860 KB Output is correct
17 Correct 3 ms 860 KB Output is correct
18 Correct 3 ms 860 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1267 ms 115832 KB Output is correct
2 Correct 1160 ms 116820 KB Output is correct
3 Correct 1105 ms 116856 KB Output is correct
4 Correct 1223 ms 116796 KB Output is correct
5 Correct 1179 ms 120912 KB Output is correct

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 109 ms 11352 KB Output is correct
2 Correct 72 ms 11132 KB Output is correct
3 Correct 73 ms 11656 KB Output is correct
4 Correct 90 ms 11860 KB Output is correct
5 Correct 79 ms 11864 KB Output is correct
6 Correct 65 ms 11052 KB Output is correct
7 Correct 71 ms 10832 KB Output is correct
8 Correct 77 ms 10896 KB Output is correct
9 Correct 25 ms 3600 KB Output is correct
10 Correct 87 ms 10844 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 440 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 2 ms 604 KB Output is correct
12 Correct 3 ms 860 KB Output is correct
13 Correct 5 ms 860 KB Output is correct
14 Correct 6 ms 856 KB Output is correct
15 Correct 4 ms 856 KB Output is correct
16 Correct 3 ms 860 KB Output is correct
17 Correct 3 ms 860 KB Output is correct
18 Correct 3 ms 860 KB Output is correct
19 Correct 186 ms 25168 KB Output is correct
20 Correct 193 ms 25108 KB Output is correct
21 Correct 178 ms 24472 KB Output is correct
22 Correct 172 ms 24400 KB Output is correct
23 Correct 168 ms 24340 KB Output is correct
24 Correct 177 ms 25028 KB Output is correct
25 Correct 160 ms 25080 KB Output is correct
26 Correct 177 ms 25292 KB Output is correct
27 Correct 179 ms 25424 KB Output is correct
28 Correct 170 ms 25536 KB Output is correct
29 Correct 174 ms 25936 KB Output is correct
30 Correct 180 ms 25940 KB Output is correct
31 Correct 179 ms 25948 KB Output is correct
32 Correct 174 ms 25940 KB Output is correct
33 Correct 246 ms 25936 KB Output is correct
34 Correct 146 ms 24032 KB Output is correct
35 Correct 171 ms 24124 KB Output is correct
36 Correct 143 ms 23888 KB Output is correct
37 Correct 143 ms 23892 KB Output is correct
38 Correct 158 ms 24112 KB Output is correct
39 Correct 160 ms 23396 KB Output is correct
40 Correct 116 ms 19720 KB Output is correct
41 Correct 146 ms 22788 KB Output is correct

Subtask #6
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 440 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 2 ms 604 KB Output is correct
12 Correct 3 ms 860 KB Output is correct
13 Correct 5 ms 860 KB Output is correct
14 Correct 6 ms 856 KB Output is correct
15 Correct 4 ms 856 KB Output is correct
16 Correct 3 ms 860 KB Output is correct
17 Correct 3 ms 860 KB Output is correct
18 Correct 3 ms 860 KB Output is correct
19 Correct 1267 ms 115832 KB Output is correct
20 Correct 1160 ms 116820 KB Output is correct
21 Correct 1105 ms 116856 KB Output is correct
22 Correct 1223 ms 116796 KB Output is correct
23 Correct 1179 ms 120912 KB Output is correct
24 Correct 109 ms 11352 KB Output is correct
25 Correct 72 ms 11132 KB Output is correct
26 Correct 73 ms 11656 KB Output is correct
27 Correct 90 ms 11860 KB Output is correct
28 Correct 79 ms 11864 KB Output is correct
29 Correct 65 ms 11052 KB Output is correct
30 Correct 71 ms 10832 KB Output is correct
31 Correct 77 ms 10896 KB Output is correct
32 Correct 25 ms 3600 KB Output is correct
33 Correct 87 ms 10844 KB Output is correct
34 Correct 186 ms 25168 KB Output is correct
35 Correct 193 ms 25108 KB Output is correct
36 Correct 178 ms 24472 KB Output is correct
37 Correct 172 ms 24400 KB Output is correct
38 Correct 168 ms 24340 KB Output is correct
39 Correct 177 ms 25028 KB Output is correct
40 Correct 160 ms 25080 KB Output is correct
41 Correct 177 ms 25292 KB Output is correct
42 Correct 179 ms 25424 KB Output is correct
43 Correct 170 ms 25536 KB Output is correct
44 Correct 174 ms 25936 KB Output is correct
45 Correct 180 ms 25940 KB Output is correct
46 Correct 179 ms 25948 KB Output is correct
47 Correct 174 ms 25940 KB Output is correct
48 Correct 246 ms 25936 KB Output is correct
49 Correct 146 ms 24032 KB Output is correct
50 Correct 171 ms 24124 KB Output is correct
51 Correct 143 ms 23888 KB Output is correct
52 Correct 143 ms 23892 KB Output is correct
53 Correct 158 ms 24112 KB Output is correct
54 Correct 160 ms 23396 KB Output is correct
55 Correct 116 ms 19720 KB Output is correct
56 Correct 146 ms 22788 KB Output is correct
57 Correct 1220 ms 118320 KB Output is correct
58 Correct 1219 ms 118368 KB Output is correct
59 Correct 1136 ms 116308 KB Output is correct
60 Correct 1139 ms 116308 KB Output is correct
61 Correct 1133 ms 116268 KB Output is correct
62 Correct 992 ms 116564 KB Output is correct
63 Correct 788 ms 113944 KB Output is correct
64 Correct 781 ms 113924 KB Output is correct
65 Correct 1035 ms 120400 KB Output is correct
66 Correct 1046 ms 120400 KB Output is correct
67 Correct 1064 ms 120384 KB Output is correct
68 Correct 1145 ms 122376 KB Output is correct
69 Correct 1158 ms 122580 KB Output is correct
70 Correct 1164 ms 121936 KB Output is correct
71 Correct 1153 ms 122112 KB Output is correct
72 Correct 1245 ms 122016 KB Output is correct
73 Correct 741 ms 110160 KB Output is correct
74 Correct 767 ms 110928 KB Output is correct
75 Correct 750 ms 110160 KB Output is correct
76 Correct 821 ms 109988 KB Output is correct
77 Correct 830 ms 110160 KB Output is correct
78 Correct 970 ms 111160 KB Output is correct
79 Correct 635 ms 86516 KB Output is correct
80 Correct 914 ms 107312 KB Output is correct