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Submission #476061

# Submission time Handle Problem Language Result Execution time Memory
476061 2021-09-24T17:05:57 Z Jarif_Rahman Group Photo (JOI21_ho_t3) C++17
100 / 100
 676 ms 392328 KB 
#include <bits/stdc++.h>
#define pb push_back
#define f first
#define sc second
using namespace std;
typedef long long int ll;
typedef string str;
const ll inf = 1e18;
struct BIT{
    int n;
    vector<ll> sm;
    BIT(int _n){
        n = _n;
        sm.resize(n);
    }
    void add(int in, int x){
        in++;
        while(in <= n) sm[in-1]+=x, in+=in&-in;
    }
    ll sum(int in){
        in++;
        ll s = 0;
        while(in >= 1) s+=sm[in-1], in-=in&-in;
        return s;
    }
    ll sum(int l, int r){
        return sum(r)-(l == 0? 0:sum(l-1));
    }
};
int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    int n; cin >> n;
    vector<vector<ll>> dp(n, vector<ll>(n, inf));
    vector<vector<ll>> inv(n, vector<ll>(n, 0));

    vector<int> v(n);
    for(int &x: v) cin >> x, x--;
    vector<int> pos(n);
    for(int i = 0; i < n; i++) pos[v[i]] = i;

    for(int i = 0; i < n; i++) for(int j = i+1; j < n; j++) if(pos[i] < pos[j]) inv[i][j]++;
    for(int i = 0; i < n; i++) for(int j = 0; j+i < n; j++){
        int l = j, r = j+i;
        if(l == r) continue;
        inv[l][r]+=inv[l][r-1]+inv[l+1][r]-inv[l+1][r-1];
    }

    vector<ll> mn(n, inf);

    for(int i = n-1; i >= 0; i--){
        vector<ll> sum(n, 0);
        for(int j = 0; j < n; j++) if(v[j] > i) sum[j]++;
        for(int j = 1; j < n; j++) sum[j]+=sum[j-1];
        ll c = 0;
        for(int j = i; j >= 0; j--){
            c+=sum[pos[j]];
            dp[i][j] = inv[j][i]+c;
            if(i != n-1) dp[i][j]+=mn[i];
            if(j != 0) mn[j-1] = min(mn[j-1], dp[i][j]);
        }
    }

    ll ans = inf;
    for(int i = 0; i < n; i++) ans = min(ans, dp[i][0]);
    cout << ans << "\n";
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 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 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 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 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 0 ms 204 KB Output is correct
15 Correct 0 ms 204 KB Output is correct
16 Correct 0 ms 204 KB Output is correct
17 Correct 0 ms 312 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 0 ms 204 KB Output is correct
20 Correct 0 ms 204 KB Output is correct

Subtask #3
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 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 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 0 ms 204 KB Output is correct
15 Correct 0 ms 204 KB Output is correct
16 Correct 0 ms 204 KB Output is correct
17 Correct 0 ms 312 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 0 ms 204 KB Output is correct
20 Correct 0 ms 204 KB Output is correct
21 Correct 1 ms 844 KB Output is correct
22 Correct 1 ms 844 KB Output is correct
23 Correct 1 ms 844 KB Output is correct
24 Correct 1 ms 844 KB Output is correct
25 Correct 1 ms 844 KB Output is correct
26 Correct 1 ms 844 KB Output is correct
27 Correct 1 ms 844 KB Output is correct
28 Correct 1 ms 844 KB Output is correct
29 Correct 1 ms 956 KB Output is correct
30 Correct 1 ms 844 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 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 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 0 ms 204 KB Output is correct
15 Correct 0 ms 204 KB Output is correct
16 Correct 0 ms 204 KB Output is correct
17 Correct 0 ms 312 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 0 ms 204 KB Output is correct
20 Correct 0 ms 204 KB Output is correct
21 Correct 1 ms 844 KB Output is correct
22 Correct 1 ms 844 KB Output is correct
23 Correct 1 ms 844 KB Output is correct
24 Correct 1 ms 844 KB Output is correct
25 Correct 1 ms 844 KB Output is correct
26 Correct 1 ms 844 KB Output is correct
27 Correct 1 ms 844 KB Output is correct
28 Correct 1 ms 844 KB Output is correct
29 Correct 1 ms 956 KB Output is correct
30 Correct 1 ms 844 KB Output is correct
31 Correct 11 ms 10372 KB Output is correct
32 Correct 12 ms 10368 KB Output is correct
33 Correct 13 ms 10372 KB Output is correct
34 Correct 14 ms 10316 KB Output is correct
35 Correct 13 ms 10292 KB Output is correct
36 Correct 15 ms 10316 KB Output is correct
37 Correct 12 ms 10416 KB Output is correct
38 Correct 12 ms 10316 KB Output is correct
39 Correct 12 ms 10416 KB Output is correct
40 Correct 12 ms 10416 KB Output is correct

Subtask #5
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 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 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 0 ms 204 KB Output is correct
15 Correct 0 ms 204 KB Output is correct
16 Correct 0 ms 204 KB Output is correct
17 Correct 0 ms 312 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 0 ms 204 KB Output is correct
20 Correct 0 ms 204 KB Output is correct
21 Correct 1 ms 844 KB Output is correct
22 Correct 1 ms 844 KB Output is correct
23 Correct 1 ms 844 KB Output is correct
24 Correct 1 ms 844 KB Output is correct
25 Correct 1 ms 844 KB Output is correct
26 Correct 1 ms 844 KB Output is correct
27 Correct 1 ms 844 KB Output is correct
28 Correct 1 ms 844 KB Output is correct
29 Correct 1 ms 956 KB Output is correct
30 Correct 1 ms 844 KB Output is correct
31 Correct 11 ms 10372 KB Output is correct
32 Correct 12 ms 10368 KB Output is correct
33 Correct 13 ms 10372 KB Output is correct
34 Correct 14 ms 10316 KB Output is correct
35 Correct 13 ms 10292 KB Output is correct
36 Correct 15 ms 10316 KB Output is correct
37 Correct 12 ms 10416 KB Output is correct
38 Correct 12 ms 10316 KB Output is correct
39 Correct 12 ms 10416 KB Output is correct
40 Correct 12 ms 10416 KB Output is correct
41 Correct 651 ms 391812 KB Output is correct
42 Correct 599 ms 391976 KB Output is correct
43 Correct 609 ms 391976 KB Output is correct
44 Correct 589 ms 391996 KB Output is correct
45 Correct 618 ms 391992 KB Output is correct
46 Correct 620 ms 392260 KB Output is correct
47 Correct 676 ms 392272 KB Output is correct
48 Correct 634 ms 392168 KB Output is correct
49 Correct 617 ms 392132 KB Output is correct
50 Correct 636 ms 392260 KB Output is correct
51 Correct 655 ms 392236 KB Output is correct
52 Correct 591 ms 392316 KB Output is correct
53 Correct 604 ms 392188 KB Output is correct
54 Correct 634 ms 392328 KB Output is correct
55 Correct 630 ms 392132 KB Output is correct