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Submission #580416

# Submission time Handle Problem Language Result Execution time Memory
580416 2022-06-21T08:12:58 Z tengiz05 Global Warming (CEOI18_glo) C++17
100 / 100
 390 ms 10516 KB 
#include <bits/stdc++.h>

using namespace std;
using i64 = long long;

template<class Info,
    class Merge = std::plus<Info>>
struct SegmentTree {
    const int n;
    const Merge merge;
    std::vector<Info> info;
    SegmentTree(int n) : n(n), merge(Merge()), info(4 << std::__lg(n)) {}
    SegmentTree(std::vector<Info> init) : SegmentTree(init.size()) {
        std::function<void(int, int, int)> build = [&](int p, int l, int r) {
            if (r - l == 1) {
                info[p] = init[l];
                return;
            }
            int m = (l + r) / 2;
            build(2 * p, l, m);
            build(2 * p + 1, m, r);
            pull(p);
        };
        build(1, 0, n);
    }
    void pull(int p) {
        info[p] = merge(info[2 * p], info[2 * p + 1]);
    }
    void modify(int p, int l, int r, int x, const Info &v) {
        if (r - l == 1) {
            info[p] = v;
            return;
        }
        int m = (l + r) / 2;
        if (x < m) {
            modify(2 * p, l, m, x, v);
        } else {
            modify(2 * p + 1, m, r, x, v);
        }
        pull(p);
    }
    void modify(int p, const Info &v) {
        modify(1, 0, n, p, v);
    }
    Info rangeQuery(int p, int l, int r, int x, int y) {
        if (l >= y || r <= x) {
            return Info();
        }
        if (l >= x && r <= y) {
            return info[p];
        }
        int m = (l + r) / 2;
        return merge(rangeQuery(2 * p, l, m, x, y), rangeQuery(2 * p + 1, m, r, x, y));
    }
    Info rangeQuery(int l, int r) {
        return rangeQuery(1, 0, n, l, r);
    }
};

struct Info {
    int x;
    Info(int x = 0) : x(x) {}
};
Info operator+(const Info &a, const Info &b) {
    return Info(max(a.x, b.x));
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    
    int n, X;
    cin >> n >> X;
    
    vector<int> a(n);
    for (int i = 0; i < n; i++) {
        cin >> a[i];
    }
    
    vector<int> f = a;
    sort(f.begin(), f.end());
    f.erase(unique(f.begin(), f.end()), f.end());
    
    vector<int> b(n);
    for (int i = 0; i < n; i++) {
        b[i] = lower_bound(f.begin(), f.end(), a[i]) - f.begin();
    }
    
    vector<int> dp(n);
    
    SegmentTree<Info> s(n);
    
    vector<int> changes;
    
    for (int i = n - 1; i >= 0; i--) {
        int x = s.rangeQuery(b[i] + 1, n).x;
        dp[i] = x + 1;
        changes.emplace_back(s.rangeQuery(b[i], b[i] + 1).x);
        s.modify(b[i], Info(dp[i]));
    }
    
    SegmentTree<Info> t(n);
    
    int ans = 1;
    
    for (int i = 0; i < n; i++) {
        s.modify(b[i], Info(changes.back()));
        changes.pop_back();
        int x = t.rangeQuery(0, b[i]).x;
        int p = upper_bound(f.begin(), f.end(), f[b[i]] - X) - f.begin();
        ans = max(ans, x + 1 + s.rangeQuery(p, n).x);
        t.modify(b[i], Info(x + 1));
    }
    
    cout << ans << "\n";
    
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 2 ms 340 KB Output is correct
21 Correct 2 ms 340 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 1 ms 324 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 317 ms 8496 KB Output is correct
2 Correct 368 ms 10416 KB Output is correct
3 Correct 376 ms 10360 KB Output is correct
4 Correct 337 ms 10468 KB Output is correct
5 Correct 156 ms 9584 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 64 ms 2468 KB Output is correct
2 Correct 73 ms 2932 KB Output is correct
3 Correct 72 ms 2948 KB Output is correct
4 Correct 33 ms 2648 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 39 ms 2684 KB Output is correct
7 Correct 55 ms 2884 KB Output is correct

Subtask #6
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 138 ms 4464 KB Output is correct
2 Correct 126 ms 5356 KB Output is correct
3 Correct 260 ms 10324 KB Output is correct
4 Correct 137 ms 9548 KB Output is correct
5 Correct 73 ms 4992 KB Output is correct
6 Correct 170 ms 9388 KB Output is correct
7 Correct 145 ms 10036 KB Output is correct
8 Correct 118 ms 5452 KB Output is correct

Subtask #7
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 2 ms 340 KB Output is correct
21 Correct 2 ms 340 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 1 ms 324 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 317 ms 8496 KB Output is correct
28 Correct 368 ms 10416 KB Output is correct
29 Correct 376 ms 10360 KB Output is correct
30 Correct 337 ms 10468 KB Output is correct
31 Correct 156 ms 9584 KB Output is correct
32 Correct 64 ms 2468 KB Output is correct
33 Correct 73 ms 2932 KB Output is correct
34 Correct 72 ms 2948 KB Output is correct
35 Correct 33 ms 2648 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 39 ms 2684 KB Output is correct
38 Correct 55 ms 2884 KB Output is correct
39 Correct 138 ms 4464 KB Output is correct
40 Correct 126 ms 5356 KB Output is correct
41 Correct 260 ms 10324 KB Output is correct
42 Correct 137 ms 9548 KB Output is correct
43 Correct 73 ms 4992 KB Output is correct
44 Correct 170 ms 9388 KB Output is correct
45 Correct 145 ms 10036 KB Output is correct
46 Correct 118 ms 5452 KB Output is correct
47 Correct 145 ms 5380 KB Output is correct
48 Correct 139 ms 5440 KB Output is correct
49 Correct 390 ms 10408 KB Output is correct
50 Correct 143 ms 9652 KB Output is correct
51 Correct 120 ms 8364 KB Output is correct
52 Correct 190 ms 9788 KB Output is correct
53 Correct 184 ms 9732 KB Output is correct
54 Correct 147 ms 10516 KB Output is correct
55 Correct 248 ms 10448 KB Output is correct