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Submission #388087

# Submission time Handle Problem Language Result Execution time Memory
388087 2021-04-10T04:26:27 Z blue Group Photo (JOI21_ho_t3) C++17
100 / 100
 399 ms 165320 KB 
#include <iostream>
using namespace std;


int inv[5001][5001];

int main()
{
    int N;
    cin >> N;

    int H[N+1], pos[N+1];
    for(int i = 1; i <= N; i++) cin >> H[i];

    for(int i = 1; i <= N; i++) pos[ H[i] ] = i;

    int lowct[N+1][N+1]; //number of positions <= j with value greater than i
    for(int i = 1; i <= N; i++)
    {
        lowct[i][0] = 0;
        for(int j = 1; j <= N; j++)
        {
            lowct[i][j] = lowct[i][j-1] + (pos[j] > pos[i]);
        }
    }

    for(int i = 1; i <= N; i++)
    {
        inv[i][i] = 0;
        for(int j = i+1; j <= N; j++)
        {
            inv[i][j] = inv[i][j-1] + (lowct[j][j] - lowct[j][i-1]);
        }
    }
    for(int j = 0; j <= N; j++) inv[0][j] = inv[1][j];

    // for(int i = 1; i <= N; i++)
    // {
    //     cout << pos[i] << ' ';
    // }
    // cout << '\n';

    int dp[N+1];
    dp[0] = 0;
    for(int i = 1; i <= N; i++)
    {
        dp[i] = 1e9;
        for(int l = 1; l <= i; l++)
        {
            dp[i] = min(dp[i], dp[i-l] + l*(l-1)/2 - inv[i-l+1][i]  +  inv[1][i] - inv[1][i-l] - inv[i-l+1][i]);
            // cout << i-l+1 << ' ' << i << ' ' << l*(l-1)/2 - inv[i-l+1][i] << ' ' << inv[1][i] - inv[1][i-l] - inv[i-l+1][i] << ' ' << dp[i-l] << '\n';
        }
        // cout << dp[i] << ' ';
    }

    cout << dp[N] << '\n';
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 308 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 204 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 0 ms 336 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 308 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 204 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 0 ms 336 KB Output is correct
9 Correct 0 ms 332 KB Output is correct
10 Correct 0 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 304 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 300 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 308 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 204 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 0 ms 336 KB Output is correct
9 Correct 0 ms 332 KB Output is correct
10 Correct 0 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 304 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 300 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 1232 KB Output is correct
22 Correct 1 ms 1228 KB Output is correct
23 Correct 1 ms 1228 KB Output is correct
24 Correct 1 ms 1228 KB Output is correct
25 Correct 1 ms 1228 KB Output is correct
26 Correct 1 ms 1228 KB Output is correct
27 Correct 1 ms 1228 KB Output is correct
28 Correct 1 ms 1356 KB Output is correct
29 Correct 1 ms 1228 KB Output is correct
30 Correct 1 ms 1228 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 308 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 204 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 0 ms 336 KB Output is correct
9 Correct 0 ms 332 KB Output is correct
10 Correct 0 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 304 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 300 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 1232 KB Output is correct
22 Correct 1 ms 1228 KB Output is correct
23 Correct 1 ms 1228 KB Output is correct
24 Correct 1 ms 1228 KB Output is correct
25 Correct 1 ms 1228 KB Output is correct
26 Correct 1 ms 1228 KB Output is correct
27 Correct 1 ms 1228 KB Output is correct
28 Correct 1 ms 1356 KB Output is correct
29 Correct 1 ms 1228 KB Output is correct
30 Correct 1 ms 1228 KB Output is correct
31 Correct 6 ms 7244 KB Output is correct
32 Correct 6 ms 7212 KB Output is correct
33 Correct 8 ms 7244 KB Output is correct
34 Correct 6 ms 7244 KB Output is correct
35 Correct 6 ms 7208 KB Output is correct
36 Correct 6 ms 7216 KB Output is correct
37 Correct 6 ms 7244 KB Output is correct
38 Correct 6 ms 7244 KB Output is correct
39 Correct 6 ms 7260 KB Output is correct
40 Correct 6 ms 7244 KB Output is correct

Subtask #5
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 308 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 204 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 0 ms 336 KB Output is correct
9 Correct 0 ms 332 KB Output is correct
10 Correct 0 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 304 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 300 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 1232 KB Output is correct
22 Correct 1 ms 1228 KB Output is correct
23 Correct 1 ms 1228 KB Output is correct
24 Correct 1 ms 1228 KB Output is correct
25 Correct 1 ms 1228 KB Output is correct
26 Correct 1 ms 1228 KB Output is correct
27 Correct 1 ms 1228 KB Output is correct
28 Correct 1 ms 1356 KB Output is correct
29 Correct 1 ms 1228 KB Output is correct
30 Correct 1 ms 1228 KB Output is correct
31 Correct 6 ms 7244 KB Output is correct
32 Correct 6 ms 7212 KB Output is correct
33 Correct 8 ms 7244 KB Output is correct
34 Correct 6 ms 7244 KB Output is correct
35 Correct 6 ms 7208 KB Output is correct
36 Correct 6 ms 7216 KB Output is correct
37 Correct 6 ms 7244 KB Output is correct
38 Correct 6 ms 7244 KB Output is correct
39 Correct 6 ms 7260 KB Output is correct
40 Correct 6 ms 7244 KB Output is correct
41 Correct 392 ms 165032 KB Output is correct
42 Correct 389 ms 165084 KB Output is correct
43 Correct 392 ms 165228 KB Output is correct
44 Correct 385 ms 165056 KB Output is correct
45 Correct 341 ms 165180 KB Output is correct
46 Correct 390 ms 165136 KB Output is correct
47 Correct 392 ms 165284 KB Output is correct
48 Correct 391 ms 165196 KB Output is correct
49 Correct 399 ms 165236 KB Output is correct
50 Correct 350 ms 165192 KB Output is correct
51 Correct 394 ms 165228 KB Output is correct
52 Correct 390 ms 165192 KB Output is correct
53 Correct 396 ms 165100 KB Output is correct
54 Correct 387 ms 165140 KB Output is correct
55 Correct 350 ms 165320 KB Output is correct