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Submission #226351

# Submission time Handle Problem Language Result Execution time Memory
226351 2020-04-23T12:30:02 Z emil_physmath K blocks (IZhO14_blocks) C++17
100 / 100
 500 ms 57832 KB 
#include <algorithm>
#include <iostream>
#include <vector>
using namespace std;

int dp[101][100'000];

int main()
{
    ios::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);
    int n, k;
    cin >> n >> k;
    vector<int> a(n);
    for (int i = 0; i < n; ++i)
        cin >> a[i];
    dp[1][0] = a[0];
    for (int j = 2; j <= k; ++j)
        dp[j][0] = 1000'000 * k + 1;
    vector<int> st;
    vector<vector<int>> dpst(k + 1, vector<int>(1, 0));
    for (int i = 1; i < n; ++i)
    {
        auto it = upper_bound(st.rbegin(), st.rend(), i, [&a](int i, int j){ return a[i] < a[j]; });
        int stm = (it == st.rend() ? -1 : *it);
        for (int j = 1; j <= k; ++j)
        {
            if (j == 1)
                dp[1][i] = max(dp[1][i - 1], a[i]);
            else
            {
                int cur = 1000'000 * k + 1;
                int m = stm;
                if (m != -1)
                    cur = min(cur, dp[j][m]);
                else
                    m = 0;
                auto it = lower_bound(dpst[j - 1].begin(), dpst[j - 1].end(), m);
                if (it != dpst[j - 1].end())
                    cur = min(cur, dp[j - 1][*it] + a[i]);
                dp[j][i] = cur;
            }
        }
        for (int j = 1; j <= k; ++j)
        {
            while (dpst[j].size() && dp[j][dpst[j].back()] >= dp[j][i])
                dpst[j].pop_back();
            dpst[j].push_back(i);
#ifdef MANSON
            cerr << "dp[" << j << "][" << i << "] = " << dp[j][i] << '\n';
#endif
        }
        while (st.size() && a[st.back()] <= a[i])
            st.pop_back();
        st.push_back(i);
    }
    cout << dp[k][n - 1];
}

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 256 KB Output is correct
8 Correct 4 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 4 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 5 ms 256 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 5 ms 384 KB Output is correct
16 Correct 4 ms 384 KB Output is correct
17 Correct 5 ms 384 KB Output is correct
18 Correct 5 ms 384 KB Output is correct

Subtask #2
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 4 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 4 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 4 ms 384 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 4 ms 384 KB Output is correct
15 Correct 5 ms 384 KB Output is correct
16 Correct 5 ms 384 KB Output is correct
17 Correct 5 ms 384 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 5 ms 384 KB Output is correct
20 Correct 4 ms 384 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 640 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 5 ms 256 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 4 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 4 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 4 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 4 ms 384 KB Output is correct
13 Correct 5 ms 512 KB Output is correct
14 Correct 5 ms 512 KB Output is correct
15 Correct 5 ms 896 KB Output is correct
16 Correct 5 ms 896 KB Output is correct
17 Correct 5 ms 640 KB Output is correct
18 Correct 5 ms 896 KB Output is correct
19 Correct 5 ms 896 KB Output is correct

Subtask #4
47.0 / 47.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 1920 KB Output is correct
2 Correct 12 ms 1152 KB Output is correct
3 Correct 19 ms 2560 KB Output is correct
4 Correct 133 ms 19448 KB Output is correct
5 Correct 500 ms 57832 KB Output is correct
6 Correct 28 ms 3340 KB Output is correct
7 Correct 171 ms 27096 KB Output is correct
8 Correct 5 ms 512 KB Output is correct
9 Correct 5 ms 640 KB Output is correct
10 Correct 5 ms 640 KB Output is correct
11 Correct 5 ms 640 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 5 ms 512 KB Output is correct
14 Correct 25 ms 4864 KB Output is correct
15 Correct 6 ms 512 KB Output is correct
16 Correct 11 ms 1536 KB Output is correct
17 Correct 12 ms 1024 KB Output is correct
18 Correct 18 ms 2176 KB Output is correct
19 Correct 79 ms 14456 KB Output is correct
20 Correct 233 ms 40700 KB Output is correct
21 Correct 25 ms 2560 KB Output is correct
22 Correct 118 ms 19064 KB Output is correct
23 Correct 21 ms 1792 KB Output is correct
24 Correct 43 ms 5368 KB Output is correct
25 Correct 224 ms 40756 KB Output is correct
26 Correct 5 ms 384 KB Output is correct
27 Correct 5 ms 384 KB Output is correct
28 Correct 19 ms 4864 KB Output is correct
29 Correct 6 ms 512 KB Output is correct
30 Correct 10 ms 1536 KB Output is correct
31 Correct 12 ms 1152 KB Output is correct
32 Correct 16 ms 2176 KB Output is correct
33 Correct 54 ms 14584 KB Output is correct
34 Correct 149 ms 40824 KB Output is correct
35 Correct 25 ms 2904 KB Output is correct
36 Correct 78 ms 19320 KB Output is correct
37 Correct 7 ms 640 KB Output is correct
38 Correct 39 ms 6520 KB Output is correct
39 Correct 5 ms 512 KB Output is correct
40 Correct 5 ms 384 KB Output is correct
41 Correct 5 ms 384 KB Output is correct
42 Correct 4 ms 384 KB Output is correct