oj.uz

Submission #308021

# Submission time Handle Problem Language Result Execution time Memory
308021 2020-09-29T20:01:37 Z adrianbudau Triple Jump (JOI19_jumps) C++17
100 / 100
 1085 ms 99192 KB 
#include <iostream>
#include <vector>
#include <algorithm>

using namespace std;

class SegmentTree {
  public:
    SegmentTree(const vector<int> &A): m_size(A.size()), m_data(m_size * 4) {
        build(1, 1, m_size, A);
    }

    void update(int from, int to, int add) {
        update(1, 1, m_size, from, to, add);
    }

    int query(int from, int to) {
        return query(1, 1, m_size, from, to, 0);
    }

  private:
    struct Node {
        int max = 0;
        int maxadd = 0;
        int best = 0;
    };

    void build(int node, int begin, int end, const vector<int> &A) {
        if (end - begin == 1) {
            m_data[node] = Node{A[begin], 0, A[begin]};
            return;
        }
        int mid = (begin + end) / 2;
        build(node * 2, begin, mid, A);
        build(node * 2 + 1, mid, end, A);
        m_data[node] = Node{max(m_data[node * 2].max, m_data[node * 2 + 1].max), 0, max(m_data[node * 2].best, m_data[node * 2 + 1].best)};
    }

    void update(int node, int begin, int end, int from, int to, int add) {
        if (from <= begin && end <= to) {
            m_data[node].maxadd = max(m_data[node].maxadd, add);
            m_data[node].best = max(m_data[node].best, m_data[node].maxadd + m_data[node].max);
            return;
        }

        int mid = (begin + end) / 2;
        if (from < mid)
            update(node * 2, begin, mid, from, to, add);
        if (mid < to)
            update(node * 2 + 1, mid, end, from, to, add);
        m_data[node].best = max({m_data[node].best, m_data[node * 2].best, m_data[node * 2 + 1].best});
    }

    int query(int node, int begin, int end, int from, int to, int maxadd) {
        maxadd = max(maxadd, m_data[node].maxadd);
        if (from <= begin && end <= to)
            return max(m_data[node].best, m_data[node].max + maxadd);

        int mid = (begin + end) / 2;
        int answer = 0;
        if (from < mid)
            answer = max(answer, query(node * 2, begin, mid, from, to, maxadd));
        if (mid < to)
            answer = max(answer, query(node * 2 + 1, mid, end, from, to, maxadd));
        return answer;
    }

    int m_size;
    vector<Node> m_data;
};

int main() {
    ios::sync_with_stdio(false);

    int N; cin >> N;
    vector<int> A(N);
    for (int i = 0; i < N; ++i) {
        cin >> A[i];
    }

    vector< vector<int> > mids(N);
    vector<int> stack;
    for (int i = 0; i < N; ++i) {
        while (!stack.empty() && A[stack.back()] <= A[i]) {
            mids[stack.back()].push_back(i);
            stack.pop_back();
        }
        if (!stack.empty())
            mids[stack.back()].push_back(i);
        stack.push_back(i);
    }

    int Q; cin >> Q;
    vector< vector< pair<int, int> > > queries(N);

    for (int i = 0; i < Q; ++i) {
        int l, r; cin >> l >> r;
        queries[l - 1].emplace_back(r, i);
    }

    SegmentTree S(A);
    vector<int> answer(Q, 0);
    for (int  i = N - 1; i >= 0; --i) {
        for (auto &mid : mids[i]) {
            int from = 2 * mid - i;
            if (from < N)
                S.update(from, N, A[i] + A[mid]);
        }
        for (auto &[r, index] : queries[i])
            answer[index] = S.query(i, r);
    }

    for (int i = 0; i < Q; ++i)
        cout << answer[i] << "\n";
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 281 ms 19064 KB Output is correct
12 Correct 273 ms 19160 KB Output is correct
13 Correct 273 ms 19064 KB Output is correct
14 Correct 274 ms 19064 KB Output is correct
15 Correct 277 ms 19192 KB Output is correct
16 Correct 276 ms 18424 KB Output is correct
17 Correct 272 ms 18424 KB Output is correct
18 Correct 278 ms 18424 KB Output is correct
19 Correct 278 ms 18936 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 156 ms 28152 KB Output is correct
2 Correct 96 ms 27896 KB Output is correct
3 Correct 106 ms 28652 KB Output is correct
4 Correct 160 ms 28152 KB Output is correct
5 Correct 157 ms 28152 KB Output is correct
6 Correct 152 ms 27512 KB Output is correct
7 Correct 152 ms 27512 KB Output is correct
8 Correct 153 ms 27384 KB Output is correct
9 Correct 157 ms 27896 KB Output is correct

Subtask #4
54.0 / 54.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 281 ms 19064 KB Output is correct
12 Correct 273 ms 19160 KB Output is correct
13 Correct 273 ms 19064 KB Output is correct
14 Correct 274 ms 19064 KB Output is correct
15 Correct 277 ms 19192 KB Output is correct
16 Correct 276 ms 18424 KB Output is correct
17 Correct 272 ms 18424 KB Output is correct
18 Correct 278 ms 18424 KB Output is correct
19 Correct 278 ms 18936 KB Output is correct
20 Correct 156 ms 28152 KB Output is correct
21 Correct 96 ms 27896 KB Output is correct
22 Correct 106 ms 28652 KB Output is correct
23 Correct 160 ms 28152 KB Output is correct
24 Correct 157 ms 28152 KB Output is correct
25 Correct 152 ms 27512 KB Output is correct
26 Correct 152 ms 27512 KB Output is correct
27 Correct 153 ms 27384 KB Output is correct
28 Correct 157 ms 27896 KB Output is correct
29 Correct 1085 ms 93588 KB Output is correct
30 Correct 922 ms 92920 KB Output is correct
31 Correct 909 ms 94696 KB Output is correct
32 Correct 1077 ms 93560 KB Output is correct
33 Correct 1073 ms 93432 KB Output is correct
34 Correct 1050 ms 91184 KB Output is correct
35 Correct 1070 ms 90872 KB Output is correct
36 Correct 1063 ms 90744 KB Output is correct
37 Correct 1058 ms 92280 KB Output is correct
38 Correct 755 ms 99192 KB Output is correct
39 Correct 770 ms 99064 KB Output is correct
40 Correct 738 ms 95864 KB Output is correct
41 Correct 736 ms 95352 KB Output is correct
42 Correct 736 ms 95352 KB Output is correct
43 Correct 740 ms 97016 KB Output is correct
44 Correct 814 ms 98552 KB Output is correct
45 Correct 809 ms 98680 KB Output is correct
46 Correct 787 ms 95392 KB Output is correct
47 Correct 785 ms 94968 KB Output is correct
48 Correct 786 ms 94968 KB Output is correct
49 Correct 790 ms 97016 KB Output is correct
50 Correct 883 ms 96632 KB Output is correct
51 Correct 888 ms 96636 KB Output is correct
52 Correct 864 ms 94200 KB Output is correct
53 Correct 861 ms 93816 KB Output is correct
54 Correct 864 ms 93944 KB Output is correct
55 Correct 870 ms 95480 KB Output is correct