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Submission #856452

# Submission time Handle Problem Language Result Execution time Memory
856452 2023-10-03T14:18:53 Z hartiksalaria Bigger segments (IZhO19_segments) C++17
37 / 100
 1116 ms 262144 KB 
#include <bits/stdc++.h>
using namespace std;

struct Node {
    int mx;
    Node() {
        mx = -1e9;
    }
    Node(int val) {
        mx = val;
    }
};
struct Seg {
    int n;
    vector<Node> st;
    Node merge(Node &l, Node &r) {
        Node res;
        res.mx = max(l.mx, r.mx);
        return res;
    }
    Seg(int _n) {
        this->n = _n;
        st.assign(4 * _n, Node());
    }
    void update(int l, int r, int x, int val, int node) {
        if (l > x || r < x) {
            return;
        }
        if (l == r) {
            st[node].mx = max(st[node].mx, val);
            return;
        }
        int m = (l + r) / 2;
        update(l, m, x, val, 2 * node + 1);
        update(m + 1, r, x, val, 2 * node + 2);
        st[node] = merge(st[2 * node + 1], st[2 * node + 2]);
    }
    void update(int x, int val) {
        update(0, n - 1, x, val, 0);
    }
    Node query(int start, int end, int l, int r, int node) {
        if (end < l || start > r) {
            return Node();
        }
        if (start >= l && end <= r) {
            return st[node];
        }
        int mid = (start + end) / 2;
        Node left = query(start, mid, l, r, 2 * node + 1);
        Node right = query(mid + 1, end, l, r, 2 * node + 2);
        Node res = merge(left, right);
        return res;
    }
    int query(int l, int r) {
        return query(0, n - 1, l, r, 0).mx;
    }
};

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    int n, x;
    cin >> n;
    vector<long long> pref(n + 1);
    for (int i = 0; i < n; ++i) {
        cin >> x;
        pref[i + 1] = pref[i] + x;
    }
    auto mx = [&](int l, int r) -> long long {
        return pref[r] - (l ? pref[l - 1] : 0);
    };
    vector<Seg> ds(n + 1, Seg(n + 1));
    ds[0].update(0, 0);
    for (int i = 1; i <= n; ++i) {
        for (int j = 1; j <= i; ++j) {
            int low = 0, high = j - 1;
            int best = -1;
            while (low <= high) {
                int mid = (low + high) / 2;
                if (mx(mid, j - 1) <= mx(j, i)) {
                    best = mid;
                    high = mid - 1;
                } else {
                    low = mid + 1;
                }
            }
            if (best != -1) {
                ds[i].update(j, 1 + ds[j - 1].query(best, j - 1));
            }
        }
    }
    cout << ds[n].query(0, n) << '\n';
    return 0;
}

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 0 ms 344 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 19 ms 4420 KB Output is correct
17 Correct 15 ms 4188 KB Output is correct
18 Correct 16 ms 4188 KB Output is correct
19 Correct 16 ms 4188 KB Output is correct
20 Correct 18 ms 4420 KB Output is correct
21 Correct 17 ms 4188 KB Output is correct
22 Correct 10 ms 2908 KB Output is correct
23 Correct 7 ms 1884 KB Output is correct
24 Correct 16 ms 4416 KB Output is correct
25 Correct 23 ms 4188 KB Output is correct
26 Correct 16 ms 4188 KB Output is correct
27 Correct 16 ms 4188 KB Output is correct
28 Correct 19 ms 4416 KB Output is correct
29 Correct 15 ms 4184 KB Output is correct
30 Correct 16 ms 4416 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 19 ms 4420 KB Output is correct
17 Correct 15 ms 4188 KB Output is correct
18 Correct 16 ms 4188 KB Output is correct
19 Correct 16 ms 4188 KB Output is correct
20 Correct 18 ms 4420 KB Output is correct
21 Correct 17 ms 4188 KB Output is correct
22 Correct 10 ms 2908 KB Output is correct
23 Correct 7 ms 1884 KB Output is correct
24 Correct 16 ms 4416 KB Output is correct
25 Correct 23 ms 4188 KB Output is correct
26 Correct 16 ms 4188 KB Output is correct
27 Correct 16 ms 4188 KB Output is correct
28 Correct 19 ms 4416 KB Output is correct
29 Correct 15 ms 4184 KB Output is correct
30 Correct 16 ms 4416 KB Output is correct
31 Correct 1116 ms 141628 KB Output is correct
32 Correct 934 ms 141640 KB Output is correct
33 Correct 949 ms 141652 KB Output is correct
34 Correct 998 ms 141636 KB Output is correct
35 Correct 1002 ms 141636 KB Output is correct
36 Correct 982 ms 141632 KB Output is correct
37 Correct 669 ms 98640 KB Output is correct
38 Correct 406 ms 63320 KB Output is correct
39 Correct 984 ms 141632 KB Output is correct
40 Correct 990 ms 141860 KB Output is correct
41 Correct 924 ms 141640 KB Output is correct
42 Correct 922 ms 141652 KB Output is correct
43 Correct 1074 ms 141396 KB Output is correct
44 Correct 905 ms 141636 KB Output is correct
45 Correct 931 ms 141640 KB Output is correct

Subtask #4
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 19 ms 4420 KB Output is correct
17 Correct 15 ms 4188 KB Output is correct
18 Correct 16 ms 4188 KB Output is correct
19 Correct 16 ms 4188 KB Output is correct
20 Correct 18 ms 4420 KB Output is correct
21 Correct 17 ms 4188 KB Output is correct
22 Correct 10 ms 2908 KB Output is correct
23 Correct 7 ms 1884 KB Output is correct
24 Correct 16 ms 4416 KB Output is correct
25 Correct 23 ms 4188 KB Output is correct
26 Correct 16 ms 4188 KB Output is correct
27 Correct 16 ms 4188 KB Output is correct
28 Correct 19 ms 4416 KB Output is correct
29 Correct 15 ms 4184 KB Output is correct
30 Correct 16 ms 4416 KB Output is correct
31 Correct 1116 ms 141628 KB Output is correct
32 Correct 934 ms 141640 KB Output is correct
33 Correct 949 ms 141652 KB Output is correct
34 Correct 998 ms 141636 KB Output is correct
35 Correct 1002 ms 141636 KB Output is correct
36 Correct 982 ms 141632 KB Output is correct
37 Correct 669 ms 98640 KB Output is correct
38 Correct 406 ms 63320 KB Output is correct
39 Correct 984 ms 141632 KB Output is correct
40 Correct 990 ms 141860 KB Output is correct
41 Correct 924 ms 141640 KB Output is correct
42 Correct 922 ms 141652 KB Output is correct
43 Correct 1074 ms 141396 KB Output is correct
44 Correct 905 ms 141636 KB Output is correct
45 Correct 931 ms 141640 KB Output is correct
46 Runtime error 115 ms 262144 KB Execution killed with signal 9
47 Halted 0 ms 0 KB -

Subtask #5
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 19 ms 4420 KB Output is correct
17 Correct 15 ms 4188 KB Output is correct
18 Correct 16 ms 4188 KB Output is correct
19 Correct 16 ms 4188 KB Output is correct
20 Correct 18 ms 4420 KB Output is correct
21 Correct 17 ms 4188 KB Output is correct
22 Correct 10 ms 2908 KB Output is correct
23 Correct 7 ms 1884 KB Output is correct
24 Correct 16 ms 4416 KB Output is correct
25 Correct 23 ms 4188 KB Output is correct
26 Correct 16 ms 4188 KB Output is correct
27 Correct 16 ms 4188 KB Output is correct
28 Correct 19 ms 4416 KB Output is correct
29 Correct 15 ms 4184 KB Output is correct
30 Correct 16 ms 4416 KB Output is correct
31 Correct 1116 ms 141628 KB Output is correct
32 Correct 934 ms 141640 KB Output is correct
33 Correct 949 ms 141652 KB Output is correct
34 Correct 998 ms 141636 KB Output is correct
35 Correct 1002 ms 141636 KB Output is correct
36 Correct 982 ms 141632 KB Output is correct
37 Correct 669 ms 98640 KB Output is correct
38 Correct 406 ms 63320 KB Output is correct
39 Correct 984 ms 141632 KB Output is correct
40 Correct 990 ms 141860 KB Output is correct
41 Correct 924 ms 141640 KB Output is correct
42 Correct 922 ms 141652 KB Output is correct
43 Correct 1074 ms 141396 KB Output is correct
44 Correct 905 ms 141636 KB Output is correct
45 Correct 931 ms 141640 KB Output is correct
46 Runtime error 115 ms 262144 KB Execution killed with signal 9
47 Halted 0 ms 0 KB -