oj.uz

Submission #973733

# Submission time Handle Problem Language Result Execution time Memory
973733 2024-05-02T10:15:09 Z UltraFalcon Group Photo (JOI21_ho_t3) C++17
100 / 100
 507 ms 600 KB 
#ifndef DEBUG
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,avx,avx2,abm,mmx,fma,popcnt")
#endif

#include <bits/stdc++.h>
// #define int long long
using ll = long long;

using namespace std;

const int INF = 1e9;

struct Fenwick {
    int n;
    vector<int> b;

    Fenwick(int sz) {
        n = sz+1;
        b.assign(n, 0);
    }

    int query(int k) {
        int res = b[0];
        for (int i=k; i>0; i-=i&-i) {
            res += b[i];
        }
        return res;
    } 

    void update(int k, int x) {
        for (int i=k+1; i<n; i+=i&-i) {
            b[i] += x;
        }
    }
};

signed main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);

    int n; cin >> n;

    vector<int> h(n);
    for (auto &x : h) {
        cin >> x;
        x--;
    }

    vector<int> dp(n, INF);
    for (int i=0; i<n; i++) {
        // precompute stuff
        vector<int> cost(n, 0);
        int cnt1 = 0;
        for (int j=0; j<n; j++) {
            if (h[j] <= i) {
                cost[h[j]] += cnt1;
                // TODO: substract #heights to the left with height h: h[j] < h <= i
            } else {
                cnt1++;
            }
        }
        // int cnt2 = 0;
        Fenwick fen(n);
        for (int j=n-1; j>=0; j--) {
            if (h[j] <= i) {
                // cost[h[j]] += cnt2;
                cost[h[j]] += fen.query(i+1) - fen.query(h[j]);
                // cnt2++;
            }
            fen.update(h[j], +1);
        }
        int tot_cost = 0;
        for (int j=i; j>=0; j--) {
            tot_cost += cost[j];

            if (j > 0) {
                dp[i] = min(dp[i], dp[j-1] + tot_cost);
            } else {
                dp[i] = min(dp[i], tot_cost);
            }
        }
    }

    cout << dp[n-1] << "\n";

}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 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 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 452 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 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 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 452 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 600 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 344 KB Output is correct

Subtask #3
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 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 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 452 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 600 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 344 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 456 KB Output is correct
23 Correct 1 ms 460 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 1 ms 344 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 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 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 452 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 600 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 344 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 456 KB Output is correct
23 Correct 1 ms 460 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 9 ms 344 KB Output is correct
32 Correct 9 ms 348 KB Output is correct
33 Correct 9 ms 344 KB Output is correct
34 Correct 8 ms 348 KB Output is correct
35 Correct 8 ms 476 KB Output is correct
36 Correct 8 ms 348 KB Output is correct
37 Correct 8 ms 344 KB Output is correct
38 Correct 9 ms 476 KB Output is correct
39 Correct 9 ms 348 KB Output is correct
40 Correct 8 ms 476 KB Output is correct

Subtask #5
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 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 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 452 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 600 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 344 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 456 KB Output is correct
23 Correct 1 ms 460 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 9 ms 344 KB Output is correct
32 Correct 9 ms 348 KB Output is correct
33 Correct 9 ms 344 KB Output is correct
34 Correct 8 ms 348 KB Output is correct
35 Correct 8 ms 476 KB Output is correct
36 Correct 8 ms 348 KB Output is correct
37 Correct 8 ms 344 KB Output is correct
38 Correct 9 ms 476 KB Output is correct
39 Correct 9 ms 348 KB Output is correct
40 Correct 8 ms 476 KB Output is correct
41 Correct 501 ms 348 KB Output is correct
42 Correct 492 ms 536 KB Output is correct
43 Correct 507 ms 596 KB Output is correct
44 Correct 494 ms 344 KB Output is correct
45 Correct 491 ms 536 KB Output is correct
46 Correct 496 ms 536 KB Output is correct
47 Correct 492 ms 348 KB Output is correct
48 Correct 502 ms 536 KB Output is correct
49 Correct 503 ms 344 KB Output is correct
50 Correct 491 ms 544 KB Output is correct
51 Correct 491 ms 532 KB Output is correct
52 Correct 507 ms 540 KB Output is correct
53 Correct 499 ms 540 KB Output is correct
54 Correct 491 ms 540 KB Output is correct
55 Correct 490 ms 600 KB Output is correct