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Submission #956595

# Submission time Handle Problem Language Result Execution time Memory
956595 2024-04-02T08:07:54 Z peterandvoi Group Photo (JOI21_ho_t3) C++17
100 / 100
 543 ms 134736 KB 
#include <bits/stdc++.h>

using namespace std;

#ifdef ngu
#include "debug.h"
#else
#define debug(...) 42
#endif

const int N = 5005;

int n;
int h[N];
int pos[N];
int t[N];
int dp[N];
int cnt[N][N];
int cost[N][N];

int get(int l, int r) {
    return l <= r ? t[r] - t[l - 1] : 0;
}

signed main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    #ifdef ngu
    freopen("test.inp", "r", stdin);
    freopen("test.out", "w", stdout);
    #endif
    cin >> n;
    for (int i = 1; i <= n; ++i) {
        cin >> h[i];
        pos[h[i]] = i;
    }
    for (int l = n; l >= 1; --l) {
        for (int r = l + 1; r <= n; ++r) {
            cnt[l][r] = cnt[l + 1][r] + cnt[l][r - 1] - cnt[l + 1][r - 1] + (pos[l] < pos[r]);
        }
    }
    for (int r = 1; r <= n; ++r) {
        fill(t + 1, t + n + 1, 0);
        for (int i = r + 1; i <= n; ++i) {
            t[pos[i]]++;
        }
        for (int i = 1; i <= n; ++i) {
            t[i] += t[i - 1];
        }
        for (int l = r; l >= 1; --l) {
            cost[l][r] = get(1, pos[l] - 1);
            cost[l][r] += cost[l + 1][r];
        }
        for (int l = 1; l <= r; ++l) {
            cost[l][r] += cnt[l][r];
        }
    }
    for (int i = 1; i <= n; ++i) {
        dp[i] = 1e9;
        for (int j = 0; j < i; ++j) {
            dp[i] = min(dp[i], dp[j] + cost[j + 1][i]);
        }
    }
    cout << dp[n];
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 348 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 0 ms 604 KB Output is correct
13 Correct 0 ms 476 KB Output is correct
14 Correct 0 ms 604 KB Output is correct
15 Correct 1 ms 652 KB Output is correct
16 Correct 1 ms 604 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 0 ms 604 KB Output is correct
19 Correct 0 ms 604 KB Output is correct
20 Correct 0 ms 604 KB Output is correct

Subtask #3
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 0 ms 604 KB Output is correct
13 Correct 0 ms 476 KB Output is correct
14 Correct 0 ms 604 KB Output is correct
15 Correct 1 ms 652 KB Output is correct
16 Correct 1 ms 604 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 0 ms 604 KB Output is correct
19 Correct 0 ms 604 KB Output is correct
20 Correct 0 ms 604 KB Output is correct
21 Correct 2 ms 2140 KB Output is correct
22 Correct 1 ms 2140 KB Output is correct
23 Correct 2 ms 2140 KB Output is correct
24 Correct 2 ms 2140 KB Output is correct
25 Correct 1 ms 2140 KB Output is correct
26 Correct 2 ms 2140 KB Output is correct
27 Correct 1 ms 2140 KB Output is correct
28 Correct 1 ms 2140 KB Output is correct
29 Correct 1 ms 2140 KB Output is correct
30 Correct 2 ms 2140 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 0 ms 604 KB Output is correct
13 Correct 0 ms 476 KB Output is correct
14 Correct 0 ms 604 KB Output is correct
15 Correct 1 ms 652 KB Output is correct
16 Correct 1 ms 604 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 0 ms 604 KB Output is correct
19 Correct 0 ms 604 KB Output is correct
20 Correct 0 ms 604 KB Output is correct
21 Correct 2 ms 2140 KB Output is correct
22 Correct 1 ms 2140 KB Output is correct
23 Correct 2 ms 2140 KB Output is correct
24 Correct 2 ms 2140 KB Output is correct
25 Correct 1 ms 2140 KB Output is correct
26 Correct 2 ms 2140 KB Output is correct
27 Correct 1 ms 2140 KB Output is correct
28 Correct 1 ms 2140 KB Output is correct
29 Correct 1 ms 2140 KB Output is correct
30 Correct 2 ms 2140 KB Output is correct
31 Correct 10 ms 9184 KB Output is correct
32 Correct 8 ms 9308 KB Output is correct
33 Correct 8 ms 9308 KB Output is correct
34 Correct 8 ms 9308 KB Output is correct
35 Correct 11 ms 9304 KB Output is correct
36 Correct 9 ms 9560 KB Output is correct
37 Correct 8 ms 9308 KB Output is correct
38 Correct 8 ms 9308 KB Output is correct
39 Correct 8 ms 9304 KB Output is correct
40 Correct 8 ms 9432 KB Output is correct

Subtask #5
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 0 ms 604 KB Output is correct
13 Correct 0 ms 476 KB Output is correct
14 Correct 0 ms 604 KB Output is correct
15 Correct 1 ms 652 KB Output is correct
16 Correct 1 ms 604 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 0 ms 604 KB Output is correct
19 Correct 0 ms 604 KB Output is correct
20 Correct 0 ms 604 KB Output is correct
21 Correct 2 ms 2140 KB Output is correct
22 Correct 1 ms 2140 KB Output is correct
23 Correct 2 ms 2140 KB Output is correct
24 Correct 2 ms 2140 KB Output is correct
25 Correct 1 ms 2140 KB Output is correct
26 Correct 2 ms 2140 KB Output is correct
27 Correct 1 ms 2140 KB Output is correct
28 Correct 1 ms 2140 KB Output is correct
29 Correct 1 ms 2140 KB Output is correct
30 Correct 2 ms 2140 KB Output is correct
31 Correct 10 ms 9184 KB Output is correct
32 Correct 8 ms 9308 KB Output is correct
33 Correct 8 ms 9308 KB Output is correct
34 Correct 8 ms 9308 KB Output is correct
35 Correct 11 ms 9304 KB Output is correct
36 Correct 9 ms 9560 KB Output is correct
37 Correct 8 ms 9308 KB Output is correct
38 Correct 8 ms 9308 KB Output is correct
39 Correct 8 ms 9304 KB Output is correct
40 Correct 8 ms 9432 KB Output is correct
41 Correct 522 ms 134148 KB Output is correct
42 Correct 519 ms 134312 KB Output is correct
43 Correct 508 ms 134684 KB Output is correct
44 Correct 527 ms 134488 KB Output is correct
45 Correct 510 ms 134336 KB Output is correct
46 Correct 521 ms 134636 KB Output is correct
47 Correct 501 ms 134260 KB Output is correct
48 Correct 507 ms 134528 KB Output is correct
49 Correct 503 ms 134736 KB Output is correct
50 Correct 497 ms 134488 KB Output is correct
51 Correct 511 ms 134484 KB Output is correct
52 Correct 543 ms 134488 KB Output is correct
53 Correct 516 ms 134484 KB Output is correct
54 Correct 522 ms 134588 KB Output is correct
55 Correct 505 ms 134492 KB Output is correct