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Submission #807195

# Submission time Handle Problem Language Result Execution time Memory
807195 2023-08-04T14:37:51 Z caganyanmaz Group Photo (JOI21_ho_t3) C++17
100 / 100
 164 ms 165244 KB 
#include <bits/stdc++.h>
using namespace std;
void calculate_prefix();

constexpr static int INF = 1e8;
constexpr static int MXSIZE = 5000;
int prefix[MXSIZE+1][MXSIZE+1], v[MXSIZE], dp[MXSIZE+1][MXSIZE+1], n, p[MXSIZE];
int get(int x1, int y1, int x2, int y2);

int main()
{
        cin >> n;
        for (int i = 0; i < n; i++)
        {
                cin >> v[i];
                v[i]--;
                p[v[i]] = i;
        }
        for (int i = 0; i < n; i++)
                prefix[i+1][v[i]+1] = 1;
        calculate_prefix();
        dp[0][0] = p[0];
        for (int i = 1; i < n; i++)
        {
                dp[i][i] = INF;
                for (int j = 0; j < i; j++)
                        dp[i][i] = min(dp[i][i], dp[i-1][j]);
                dp[i][i] += get(0, i, p[i], n);
                for (int j = 0; j < i; j++)
                        dp[i][j] = dp[i-1][j] - get(p[i], j, n, i) + get(0, j, p[i], n);
        }
        int best = INF;
        for (int i = 0; i < n; i++)
                best = min(best, dp[n-1][i]);
#ifdef DEBUGGING
        for (int i = 0; i < n; i++)
                for (int j = 0; j <= i; j++)
                        cout << (i+1) << " " << (j+1) << ": " << dp[i][j] << "\n";
#endif
        cout << best <<"\n";



}

void calculate_prefix() // O(n^2)
{
        for (int i = 1; i <= n; i++)
                for (int j = 1; j <= n; j++)
                        prefix[i][j] += prefix[i][j-1] + prefix[i-1][j] - prefix[i-1][j-1];
}


int get(int x1, int y1, int x2, int y2) // O(1)
{
        return prefix[x2][y2] - prefix[x2][y1] - prefix[x1][y2] + prefix[x1][y1];
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 308 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 308 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 1 ms 440 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 0 ms 468 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 444 KB Output is correct
18 Correct 0 ms 440 KB Output is correct
19 Correct 1 ms 468 KB Output is correct
20 Correct 1 ms 468 KB Output is correct

Subtask #3
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 308 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 1 ms 440 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 0 ms 468 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 444 KB Output is correct
18 Correct 0 ms 440 KB Output is correct
19 Correct 1 ms 468 KB Output is correct
20 Correct 1 ms 468 KB Output is correct
21 Correct 1 ms 2132 KB Output is correct
22 Correct 1 ms 2104 KB Output is correct
23 Correct 2 ms 2132 KB Output is correct
24 Correct 1 ms 2132 KB Output is correct
25 Correct 2 ms 2132 KB Output is correct
26 Correct 2 ms 2132 KB Output is correct
27 Correct 2 ms 2132 KB Output is correct
28 Correct 1 ms 2132 KB Output is correct
29 Correct 1 ms 2132 KB Output is correct
30 Correct 2 ms 2132 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 308 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 1 ms 440 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 0 ms 468 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 444 KB Output is correct
18 Correct 0 ms 440 KB Output is correct
19 Correct 1 ms 468 KB Output is correct
20 Correct 1 ms 468 KB Output is correct
21 Correct 1 ms 2132 KB Output is correct
22 Correct 1 ms 2104 KB Output is correct
23 Correct 2 ms 2132 KB Output is correct
24 Correct 1 ms 2132 KB Output is correct
25 Correct 2 ms 2132 KB Output is correct
26 Correct 2 ms 2132 KB Output is correct
27 Correct 2 ms 2132 KB Output is correct
28 Correct 1 ms 2132 KB Output is correct
29 Correct 1 ms 2132 KB Output is correct
30 Correct 2 ms 2132 KB Output is correct
31 Correct 7 ms 10452 KB Output is correct
32 Correct 7 ms 10452 KB Output is correct
33 Correct 7 ms 10452 KB Output is correct
34 Correct 6 ms 10452 KB Output is correct
35 Correct 7 ms 10424 KB Output is correct
36 Correct 7 ms 10452 KB Output is correct
37 Correct 7 ms 10452 KB Output is correct
38 Correct 7 ms 10452 KB Output is correct
39 Correct 7 ms 10452 KB Output is correct
40 Correct 7 ms 10452 KB Output is correct

Subtask #5
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 308 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 1 ms 440 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 0 ms 468 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 444 KB Output is correct
18 Correct 0 ms 440 KB Output is correct
19 Correct 1 ms 468 KB Output is correct
20 Correct 1 ms 468 KB Output is correct
21 Correct 1 ms 2132 KB Output is correct
22 Correct 1 ms 2104 KB Output is correct
23 Correct 2 ms 2132 KB Output is correct
24 Correct 1 ms 2132 KB Output is correct
25 Correct 2 ms 2132 KB Output is correct
26 Correct 2 ms 2132 KB Output is correct
27 Correct 2 ms 2132 KB Output is correct
28 Correct 1 ms 2132 KB Output is correct
29 Correct 1 ms 2132 KB Output is correct
30 Correct 2 ms 2132 KB Output is correct
31 Correct 7 ms 10452 KB Output is correct
32 Correct 7 ms 10452 KB Output is correct
33 Correct 7 ms 10452 KB Output is correct
34 Correct 6 ms 10452 KB Output is correct
35 Correct 7 ms 10424 KB Output is correct
36 Correct 7 ms 10452 KB Output is correct
37 Correct 7 ms 10452 KB Output is correct
38 Correct 7 ms 10452 KB Output is correct
39 Correct 7 ms 10452 KB Output is correct
40 Correct 7 ms 10452 KB Output is correct
41 Correct 160 ms 165028 KB Output is correct
42 Correct 151 ms 165028 KB Output is correct
43 Correct 151 ms 165036 KB Output is correct
44 Correct 151 ms 165144 KB Output is correct
45 Correct 154 ms 165100 KB Output is correct
46 Correct 164 ms 165092 KB Output is correct
47 Correct 151 ms 165156 KB Output is correct
48 Correct 152 ms 165152 KB Output is correct
49 Correct 154 ms 165244 KB Output is correct
50 Correct 152 ms 165180 KB Output is correct
51 Correct 164 ms 165072 KB Output is correct
52 Correct 152 ms 165116 KB Output is correct
53 Correct 157 ms 165096 KB Output is correct
54 Correct 150 ms 165116 KB Output is correct
55 Correct 152 ms 165168 KB Output is correct