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Submission #476885

# Submission time Handle Problem Language Result Execution time Memory
476885 2021-09-28T23:17:40 Z Rainbowbunny Group Photo (JOI21_ho_t3) C++17
100 / 100
 262 ms 67364 KB 
#include <bits/stdc++.h>
using namespace std;

const int MAXN = 5005;
const int INF = 1e9;

int n;
int H[MAXN], dp[MAXN], pos[MAXN];
int f[MAXN][MAXN];

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    cin >> n;
    for(int i = 1; i <= n; i++)
    {
        dp[i] = INF;
        cin >> H[i];
        pos[H[i]] = i;
    }
    for(int i = 1; i <= n; i++)
    {
        for(int j = 1; j < i; j++)
        {
            f[i][j] = f[i][j - 1] + (pos[i] < pos[j]);
        }
    }
    for(int i = 0; i <= n; i++)
    {
        int Cost = 0, Inv = 0;
        for(int j = i + 1; j <= n; j++)
        {
            Cost += f[j][i];
            Inv += (f[j][j - 1] - f[j][i]);
            dp[j] = min(dp[j], dp[i] + Cost + min(Inv, (j - i) * (j - i - 1) / 2 - Inv));
        }
    }
    cout << dp[n] << '\n';
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 0 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 0 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 0 ms 332 KB Output is correct
10 Correct 0 ms 332 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 0 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 0 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 0 ms 332 KB Output is correct
10 Correct 0 ms 332 KB Output is correct
11 Correct 0 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 0 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 0 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 320 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct

Subtask #3
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 0 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 0 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 0 ms 332 KB Output is correct
10 Correct 0 ms 332 KB Output is correct
11 Correct 0 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 0 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 0 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 320 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 1100 KB Output is correct
22 Correct 1 ms 1100 KB Output is correct
23 Correct 1 ms 1100 KB Output is correct
24 Correct 1 ms 1100 KB Output is correct
25 Correct 1 ms 1100 KB Output is correct
26 Correct 1 ms 1100 KB Output is correct
27 Correct 1 ms 1100 KB Output is correct
28 Correct 1 ms 1100 KB Output is correct
29 Correct 1 ms 1100 KB Output is correct
30 Correct 1 ms 1100 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 0 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 0 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 0 ms 332 KB Output is correct
10 Correct 0 ms 332 KB Output is correct
11 Correct 0 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 0 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 0 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 320 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 1100 KB Output is correct
22 Correct 1 ms 1100 KB Output is correct
23 Correct 1 ms 1100 KB Output is correct
24 Correct 1 ms 1100 KB Output is correct
25 Correct 1 ms 1100 KB Output is correct
26 Correct 1 ms 1100 KB Output is correct
27 Correct 1 ms 1100 KB Output is correct
28 Correct 1 ms 1100 KB Output is correct
29 Correct 1 ms 1100 KB Output is correct
30 Correct 1 ms 1100 KB Output is correct
31 Correct 5 ms 4792 KB Output is correct
32 Correct 5 ms 4684 KB Output is correct
33 Correct 5 ms 4684 KB Output is correct
34 Correct 7 ms 4804 KB Output is correct
35 Correct 5 ms 4684 KB Output is correct
36 Correct 5 ms 4812 KB Output is correct
37 Correct 6 ms 4812 KB Output is correct
38 Correct 6 ms 4812 KB Output is correct
39 Correct 5 ms 4684 KB Output is correct
40 Correct 5 ms 4684 KB Output is correct

Subtask #5
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 0 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 0 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 0 ms 332 KB Output is correct
10 Correct 0 ms 332 KB Output is correct
11 Correct 0 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 0 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 0 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 320 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 1100 KB Output is correct
22 Correct 1 ms 1100 KB Output is correct
23 Correct 1 ms 1100 KB Output is correct
24 Correct 1 ms 1100 KB Output is correct
25 Correct 1 ms 1100 KB Output is correct
26 Correct 1 ms 1100 KB Output is correct
27 Correct 1 ms 1100 KB Output is correct
28 Correct 1 ms 1100 KB Output is correct
29 Correct 1 ms 1100 KB Output is correct
30 Correct 1 ms 1100 KB Output is correct
31 Correct 5 ms 4792 KB Output is correct
32 Correct 5 ms 4684 KB Output is correct
33 Correct 5 ms 4684 KB Output is correct
34 Correct 7 ms 4804 KB Output is correct
35 Correct 5 ms 4684 KB Output is correct
36 Correct 5 ms 4812 KB Output is correct
37 Correct 6 ms 4812 KB Output is correct
38 Correct 6 ms 4812 KB Output is correct
39 Correct 5 ms 4684 KB Output is correct
40 Correct 5 ms 4684 KB Output is correct
41 Correct 260 ms 67276 KB Output is correct
42 Correct 260 ms 67224 KB Output is correct
43 Correct 254 ms 67364 KB Output is correct
44 Correct 250 ms 67220 KB Output is correct
45 Correct 258 ms 67268 KB Output is correct
46 Correct 251 ms 67248 KB Output is correct
47 Correct 255 ms 67332 KB Output is correct
48 Correct 256 ms 67336 KB Output is correct
49 Correct 239 ms 67272 KB Output is correct
50 Correct 255 ms 67284 KB Output is correct
51 Correct 250 ms 67312 KB Output is correct
52 Correct 254 ms 67356 KB Output is correct
53 Correct 262 ms 67268 KB Output is correct
54 Correct 253 ms 67248 KB Output is correct
55 Correct 246 ms 67268 KB Output is correct