Submission #102689

# Submission time Handle Problem Language Result Execution time Memory
102689 2019-03-26T18:47:49 Z stefdasca K blocks (IZhO14_blocks) C++14
100 / 100
189 ms 1988 KB
/*
        IZhO 14-Blocks(same as this 2008 Romanian problem - https://www.infoarena.ro/problema/ksecv)

    We can solve it using deques, where dp[i][j] = min sum if we split the first j numbers in i sequences

*/
#include<bits/stdc++.h>
using namespace std;
int n, k, dp[3][100002], v[100002];
int val[100002], pmax[100002], pmin[100002], sz;
int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cin >> n >> k;
    for(int i = 1; i <= n; ++i)
        cin >> v[i];
    int mx = 0;
    for(int i = 1; i <= n; ++i)
    {
        mx = max(mx, v[i]);
        dp[1][i] = mx;
    }
    for(int i = 2; i <= k; ++i)
    {
        sz = 0;
        for(int j = i; j <= n; ++j)
        {
            int zmin = j-1;
            while(sz && v[j] >= v[val[sz]])
            {
                if(dp[1][pmin[sz]] < dp[1][zmin])
                    zmin = pmin[sz];
                --sz;
            }
            ++sz;
            val[sz] = j;
            pmin[sz] = zmin;
            if(sz == 1)
                pmax[sz] = dp[1][zmin] + v[j];
            else
            {
                if(pmax[sz - 1] < dp[1][zmin] + v[j])
                    pmax[sz] = pmax[sz - 1];
                else
                    pmax[sz] = dp[1][zmin] + v[j];
            }
            dp[2][j] = pmax[sz];
        }
        for(int j = 1; j <= n; ++j)
            dp[1][j] = dp[2][j], dp[2][j] = 0;
    }
    cout << dp[1][n] << '\n';
    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 2 ms 384 KB Output is correct
3 Correct 3 ms 384 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
6 Correct 3 ms 384 KB Output is correct
7 Correct 3 ms 384 KB Output is correct
8 Correct 2 ms 384 KB Output is correct
9 Correct 2 ms 384 KB Output is correct
10 Correct 2 ms 384 KB Output is correct
11 Correct 2 ms 384 KB Output is correct
12 Correct 2 ms 384 KB Output is correct
13 Correct 2 ms 384 KB Output is correct
14 Correct 2 ms 384 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 384 KB Output is correct
17 Correct 2 ms 384 KB Output is correct
18 Correct 2 ms 384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 2 ms 384 KB Output is correct
3 Correct 2 ms 384 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
6 Correct 2 ms 384 KB Output is correct
7 Correct 2 ms 384 KB Output is correct
8 Correct 2 ms 384 KB Output is correct
9 Correct 2 ms 384 KB Output is correct
10 Correct 2 ms 384 KB Output is correct
11 Correct 2 ms 384 KB Output is correct
12 Correct 2 ms 384 KB Output is correct
13 Correct 2 ms 384 KB Output is correct
14 Correct 2 ms 384 KB Output is correct
15 Correct 3 ms 384 KB Output is correct
16 Correct 2 ms 384 KB Output is correct
17 Correct 2 ms 384 KB Output is correct
18 Correct 2 ms 384 KB Output is correct
19 Correct 2 ms 384 KB Output is correct
20 Correct 2 ms 384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 2 ms 384 KB Output is correct
3 Correct 2 ms 384 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
6 Correct 2 ms 384 KB Output is correct
7 Correct 2 ms 384 KB Output is correct
8 Correct 3 ms 384 KB Output is correct
9 Correct 2 ms 384 KB Output is correct
10 Correct 2 ms 384 KB Output is correct
11 Correct 2 ms 384 KB Output is correct
12 Correct 2 ms 384 KB Output is correct
13 Correct 2 ms 384 KB Output is correct
14 Correct 2 ms 384 KB Output is correct
15 Correct 2 ms 384 KB Output is correct
16 Correct 3 ms 512 KB Output is correct
17 Correct 2 ms 384 KB Output is correct
18 Correct 2 ms 384 KB Output is correct
19 Correct 2 ms 384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 512 KB Output is correct
2 Correct 6 ms 768 KB Output is correct
3 Correct 9 ms 896 KB Output is correct
4 Correct 40 ms 896 KB Output is correct
5 Correct 121 ms 1676 KB Output is correct
6 Correct 16 ms 1508 KB Output is correct
7 Correct 59 ms 1536 KB Output is correct
8 Correct 2 ms 384 KB Output is correct
9 Correct 2 ms 384 KB Output is correct
10 Correct 3 ms 384 KB Output is correct
11 Correct 2 ms 384 KB Output is correct
12 Correct 3 ms 384 KB Output is correct
13 Correct 3 ms 384 KB Output is correct
14 Correct 21 ms 512 KB Output is correct
15 Correct 4 ms 512 KB Output is correct
16 Correct 8 ms 512 KB Output is correct
17 Correct 7 ms 768 KB Output is correct
18 Correct 12 ms 896 KB Output is correct
19 Correct 64 ms 896 KB Output is correct
20 Correct 189 ms 1656 KB Output is correct
21 Correct 16 ms 1536 KB Output is correct
22 Correct 85 ms 1536 KB Output is correct
23 Correct 13 ms 1152 KB Output is correct
24 Correct 26 ms 1536 KB Output is correct
25 Correct 185 ms 1536 KB Output is correct
26 Correct 2 ms 384 KB Output is correct
27 Correct 2 ms 384 KB Output is correct
28 Correct 14 ms 512 KB Output is correct
29 Correct 3 ms 512 KB Output is correct
30 Correct 6 ms 484 KB Output is correct
31 Correct 7 ms 768 KB Output is correct
32 Correct 10 ms 1124 KB Output is correct
33 Correct 45 ms 1024 KB Output is correct
34 Correct 133 ms 1920 KB Output is correct
35 Correct 25 ms 1988 KB Output is correct
36 Correct 66 ms 1920 KB Output is correct
37 Correct 3 ms 512 KB Output is correct
38 Correct 13 ms 512 KB Output is correct
39 Correct 3 ms 384 KB Output is correct
40 Correct 2 ms 384 KB Output is correct
41 Correct 2 ms 384 KB Output is correct
42 Correct 3 ms 384 KB Output is correct