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Submission #913894

# Submission time Handle Problem Language Result Execution time Memory
913894 2024-01-20T12:25:03 Z andrei_iorgulescu Group Photo (JOI21_ho_t3) C++14
100 / 100
 444 ms 97584 KB 
#include <bits/stdc++.h>

using namespace std;

int inf = 1e9;

int n,a[5005],pos[5005];
int dp[5005],cost[5005][5005];
int v[5005],sp[5005];
int aib[5005];

void update(int pos,int val)
{
    for (int i = pos; i <= n; i += (i & -i))
        aib[i] += val;
}

int query(int pos)
{
    int r = 0;
    for (int i = pos; i > 0; i -= (i & -i))
        r += aib[i];
    return r;
}

void prec_cost()
{
    for (int j = 1; j <= n; j++)
    {
        ///aici calculez cost[i][j]
        for (int i = 1; i <= n; i++)
            aib[i] = 0,v[i] = 0;
        for (int i = 1; i <= n; i++)
            if (a[i] > j)
                v[i] = 1;
        for (int i = 1; i <= n; i++)
            sp[i] = sp[i - 1] + v[i];
        int cst = 0;
        for (int i = j; i >= 1; i--)
        {
            ///in primul rand cate neinversiuni sunt intre astea <=> (j - i) - cate de pana acum sunt pe poz mai mici
            cst += (j - i) - query(pos[i] - 1);
            ///in al doilea rand cate mai mari ca j sunt in spate
            cst += sp[pos[i] - 1];
            cost[i][j] = cst;
            update(pos[i],1);
        }
    }
}

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);
    cin >> n;
    for (int i = 1; i <= n; i++)
        cin >> a[i],pos[a[i]] = i;
    prec_cost();
    dp[0] = 0;
    for (int i = 1; i <= n; i++)
    {
        dp[i] = inf;
        for (int j = 0; j < i; j++)
            dp[i] = min(dp[i],dp[j] + cost[j + 1][i]);
    }
    cout << dp[n];
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2392 KB Output is correct
13 Correct 1 ms 2512 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct

Subtask #3
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2392 KB Output is correct
13 Correct 1 ms 2512 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 2 ms 4444 KB Output is correct
22 Correct 2 ms 4444 KB Output is correct
23 Correct 1 ms 4444 KB Output is correct
24 Correct 1 ms 4444 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 2 ms 4444 KB Output is correct
27 Correct 1 ms 4444 KB Output is correct
28 Correct 2 ms 4444 KB Output is correct
29 Correct 1 ms 4444 KB Output is correct
30 Correct 1 ms 4440 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2392 KB Output is correct
13 Correct 1 ms 2512 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 2 ms 4444 KB Output is correct
22 Correct 2 ms 4444 KB Output is correct
23 Correct 1 ms 4444 KB Output is correct
24 Correct 1 ms 4444 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 2 ms 4444 KB Output is correct
27 Correct 1 ms 4444 KB Output is correct
28 Correct 2 ms 4444 KB Output is correct
29 Correct 1 ms 4444 KB Output is correct
30 Correct 1 ms 4440 KB Output is correct
31 Correct 11 ms 16940 KB Output is correct
32 Correct 11 ms 16732 KB Output is correct
33 Correct 11 ms 16976 KB Output is correct
34 Correct 9 ms 16848 KB Output is correct
35 Correct 9 ms 16732 KB Output is correct
36 Correct 9 ms 16732 KB Output is correct
37 Correct 9 ms 16956 KB Output is correct
38 Correct 9 ms 16956 KB Output is correct
39 Correct 10 ms 16844 KB Output is correct
40 Correct 10 ms 16732 KB Output is correct

Subtask #5
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2392 KB Output is correct
13 Correct 1 ms 2512 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 2 ms 4444 KB Output is correct
22 Correct 2 ms 4444 KB Output is correct
23 Correct 1 ms 4444 KB Output is correct
24 Correct 1 ms 4444 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 2 ms 4444 KB Output is correct
27 Correct 1 ms 4444 KB Output is correct
28 Correct 2 ms 4444 KB Output is correct
29 Correct 1 ms 4444 KB Output is correct
30 Correct 1 ms 4440 KB Output is correct
31 Correct 11 ms 16940 KB Output is correct
32 Correct 11 ms 16732 KB Output is correct
33 Correct 11 ms 16976 KB Output is correct
34 Correct 9 ms 16848 KB Output is correct
35 Correct 9 ms 16732 KB Output is correct
36 Correct 9 ms 16732 KB Output is correct
37 Correct 9 ms 16956 KB Output is correct
38 Correct 9 ms 16956 KB Output is correct
39 Correct 10 ms 16844 KB Output is correct
40 Correct 10 ms 16732 KB Output is correct
41 Correct 434 ms 97584 KB Output is correct
42 Correct 416 ms 97424 KB Output is correct
43 Correct 428 ms 97248 KB Output is correct
44 Correct 413 ms 97356 KB Output is correct
45 Correct 429 ms 97408 KB Output is correct
46 Correct 420 ms 97576 KB Output is correct
47 Correct 425 ms 97200 KB Output is correct
48 Correct 415 ms 97240 KB Output is correct
49 Correct 416 ms 97432 KB Output is correct
50 Correct 411 ms 97360 KB Output is correct
51 Correct 425 ms 97468 KB Output is correct
52 Correct 444 ms 97204 KB Output is correct
53 Correct 429 ms 97360 KB Output is correct
54 Correct 409 ms 97424 KB Output is correct
55 Correct 425 ms 97412 KB Output is correct