Submission #529587

# Submission time Handle Problem Language Result Execution time Memory
529587 2022-02-23T08:39:56 Z syl123456 Group Photo (JOI21_ho_t3) C++17
100 / 100
678 ms 98524 KB
#include <bits/stdc++.h>
#define all(i) (i).begin(), (i).end()
using namespace std;
#define debug(args...) cout << '[' << #args << "] is [", DEBUG(false, args), cout << ']' << endl
template<typename T>
void DEBUG(bool _sp, T i) {
    if (_sp)
        cout << ' ';
    cout << i;
}
template<typename T, typename ...U>
void DEBUG(bool _sp, T i, U ...j) {
    if (_sp)
        cout << ' ';
    cout << i;
    DEBUG(true, j...);
}
template<typename T, typename U>
ostream& operator << (ostream &i, pair<T, U> j) {
    i << '(' << j.first << ", " << j.second << ')';
}
template<typename T>
ostream& operator << (ostream &i, vector<T> j) {
    i << '{' << j.size() << " :";
    for (T _i : j)
        i << ' ' << _i;
    i << '}';
}

typedef long long ll;
typedef pair<int, int> pi;
typedef double dd;

const int inf = 0x3f3f3f3f, lg = 20;
const ll mod = 1e9 + 7, INF = 0x3f3f3f3f3f3f3f3f;

signed main() {
    ios::sync_with_stdio(0), cin.tie(0);
    const int N = 5005;
    int n;
    cin >> n;
    int a[n], pos[n], pre[N][N];
    for (int i = 0; i < n; ++i)
        cin >> a[i], pos[--a[i]] = i;
    for (int i = 0; i < n; ++i)
        pre[0][i] = 0;
    for (int i = 0; i < n; ++i)
        for (int j = 0; j < n; ++j)
            pre[i + 1][j] = pre[i][j] + (a[i] <= j);
    auto query = [&](int l, int r, int vl, int vr) {
        if (l == r || vl == vr)
            return 0;
        int res = pre[r][vr - 1] - pre[l][vr - 1];
        if (vl)
            res -= pre[r][vl - 1] - pre[l][vl - 1];
        return res;
    };
    int dp[n + 1];
    dp[0] = dp[1] = 0;
    for (int i = 2; i <= n; ++i) {
        dp[i] = inf;
        int tmp = 0, mn = n - i;
        for (int j = 1; j <= i; ++j) {
            int x = mn + j - 1, y = pos[x];
            tmp -= query(y + 1, n, mn, x);
            tmp += query(0, y, x + 1, n);
            tmp += query(0, y, mn, x);
            dp[i] = min(dp[i], dp[i - j] + tmp);
        }
    }
    cout << dp[n];
}
/*
x+1 x+2 x/
x+1 x x+2
x+2 x+1 x

1 [N-1]

2 1 [N-2]

3 2 1 [N-3]

f(n) = min{
    k,k-1,..,1, [n-k]
    f(n-k) + <last n-k><first k> + <first i-1><i (<=k)>
} 1 <= k <= n



*/

Compilation message

Main.cpp: In function 'std::ostream& operator<<(std::ostream&, std::pair<_T1, _T2>)':
Main.cpp:21:1: warning: no return statement in function returning non-void [-Wreturn-type]
   21 | }
      | ^
Main.cpp: In function 'std::ostream& operator<<(std::ostream&, std::vector<_Tp>)':
Main.cpp:28:1: warning: no return statement in function returning non-void [-Wreturn-type]
   28 | }
      | ^
# Verdict Execution time Memory Grader output
1 Correct 43 ms 98252 KB Output is correct
2 Correct 48 ms 98236 KB Output is correct
3 Correct 40 ms 98252 KB Output is correct
4 Correct 38 ms 98236 KB Output is correct
5 Correct 38 ms 98248 KB Output is correct
6 Correct 40 ms 98252 KB Output is correct
7 Correct 51 ms 98324 KB Output is correct
8 Correct 48 ms 98280 KB Output is correct
9 Correct 40 ms 98288 KB Output is correct
10 Correct 40 ms 98220 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 43 ms 98252 KB Output is correct
2 Correct 48 ms 98236 KB Output is correct
3 Correct 40 ms 98252 KB Output is correct
4 Correct 38 ms 98236 KB Output is correct
5 Correct 38 ms 98248 KB Output is correct
6 Correct 40 ms 98252 KB Output is correct
7 Correct 51 ms 98324 KB Output is correct
8 Correct 48 ms 98280 KB Output is correct
9 Correct 40 ms 98288 KB Output is correct
10 Correct 40 ms 98220 KB Output is correct
11 Correct 38 ms 98264 KB Output is correct
12 Correct 41 ms 98288 KB Output is correct
13 Correct 39 ms 98244 KB Output is correct
14 Correct 46 ms 98384 KB Output is correct
15 Correct 42 ms 98332 KB Output is correct
16 Correct 43 ms 98324 KB Output is correct
17 Correct 43 ms 98252 KB Output is correct
18 Correct 40 ms 98248 KB Output is correct
19 Correct 41 ms 98252 KB Output is correct
20 Correct 41 ms 98224 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 43 ms 98252 KB Output is correct
2 Correct 48 ms 98236 KB Output is correct
3 Correct 40 ms 98252 KB Output is correct
4 Correct 38 ms 98236 KB Output is correct
5 Correct 38 ms 98248 KB Output is correct
6 Correct 40 ms 98252 KB Output is correct
7 Correct 51 ms 98324 KB Output is correct
8 Correct 48 ms 98280 KB Output is correct
9 Correct 40 ms 98288 KB Output is correct
10 Correct 40 ms 98220 KB Output is correct
11 Correct 38 ms 98264 KB Output is correct
12 Correct 41 ms 98288 KB Output is correct
13 Correct 39 ms 98244 KB Output is correct
14 Correct 46 ms 98384 KB Output is correct
15 Correct 42 ms 98332 KB Output is correct
16 Correct 43 ms 98324 KB Output is correct
17 Correct 43 ms 98252 KB Output is correct
18 Correct 40 ms 98248 KB Output is correct
19 Correct 41 ms 98252 KB Output is correct
20 Correct 41 ms 98224 KB Output is correct
21 Correct 39 ms 98288 KB Output is correct
22 Correct 39 ms 98240 KB Output is correct
23 Correct 48 ms 98252 KB Output is correct
24 Correct 43 ms 98252 KB Output is correct
25 Correct 43 ms 98244 KB Output is correct
26 Correct 40 ms 98252 KB Output is correct
27 Correct 40 ms 98308 KB Output is correct
28 Correct 39 ms 98288 KB Output is correct
29 Correct 48 ms 98336 KB Output is correct
30 Correct 43 ms 98300 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 43 ms 98252 KB Output is correct
2 Correct 48 ms 98236 KB Output is correct
3 Correct 40 ms 98252 KB Output is correct
4 Correct 38 ms 98236 KB Output is correct
5 Correct 38 ms 98248 KB Output is correct
6 Correct 40 ms 98252 KB Output is correct
7 Correct 51 ms 98324 KB Output is correct
8 Correct 48 ms 98280 KB Output is correct
9 Correct 40 ms 98288 KB Output is correct
10 Correct 40 ms 98220 KB Output is correct
11 Correct 38 ms 98264 KB Output is correct
12 Correct 41 ms 98288 KB Output is correct
13 Correct 39 ms 98244 KB Output is correct
14 Correct 46 ms 98384 KB Output is correct
15 Correct 42 ms 98332 KB Output is correct
16 Correct 43 ms 98324 KB Output is correct
17 Correct 43 ms 98252 KB Output is correct
18 Correct 40 ms 98248 KB Output is correct
19 Correct 41 ms 98252 KB Output is correct
20 Correct 41 ms 98224 KB Output is correct
21 Correct 39 ms 98288 KB Output is correct
22 Correct 39 ms 98240 KB Output is correct
23 Correct 48 ms 98252 KB Output is correct
24 Correct 43 ms 98252 KB Output is correct
25 Correct 43 ms 98244 KB Output is correct
26 Correct 40 ms 98252 KB Output is correct
27 Correct 40 ms 98308 KB Output is correct
28 Correct 39 ms 98288 KB Output is correct
29 Correct 48 ms 98336 KB Output is correct
30 Correct 43 ms 98300 KB Output is correct
31 Correct 44 ms 98244 KB Output is correct
32 Correct 44 ms 98260 KB Output is correct
33 Correct 44 ms 98256 KB Output is correct
34 Correct 45 ms 98340 KB Output is correct
35 Correct 44 ms 98332 KB Output is correct
36 Correct 44 ms 98252 KB Output is correct
37 Correct 50 ms 98312 KB Output is correct
38 Correct 56 ms 98244 KB Output is correct
39 Correct 45 ms 98332 KB Output is correct
40 Correct 44 ms 98260 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 43 ms 98252 KB Output is correct
2 Correct 48 ms 98236 KB Output is correct
3 Correct 40 ms 98252 KB Output is correct
4 Correct 38 ms 98236 KB Output is correct
5 Correct 38 ms 98248 KB Output is correct
6 Correct 40 ms 98252 KB Output is correct
7 Correct 51 ms 98324 KB Output is correct
8 Correct 48 ms 98280 KB Output is correct
9 Correct 40 ms 98288 KB Output is correct
10 Correct 40 ms 98220 KB Output is correct
11 Correct 38 ms 98264 KB Output is correct
12 Correct 41 ms 98288 KB Output is correct
13 Correct 39 ms 98244 KB Output is correct
14 Correct 46 ms 98384 KB Output is correct
15 Correct 42 ms 98332 KB Output is correct
16 Correct 43 ms 98324 KB Output is correct
17 Correct 43 ms 98252 KB Output is correct
18 Correct 40 ms 98248 KB Output is correct
19 Correct 41 ms 98252 KB Output is correct
20 Correct 41 ms 98224 KB Output is correct
21 Correct 39 ms 98288 KB Output is correct
22 Correct 39 ms 98240 KB Output is correct
23 Correct 48 ms 98252 KB Output is correct
24 Correct 43 ms 98252 KB Output is correct
25 Correct 43 ms 98244 KB Output is correct
26 Correct 40 ms 98252 KB Output is correct
27 Correct 40 ms 98308 KB Output is correct
28 Correct 39 ms 98288 KB Output is correct
29 Correct 48 ms 98336 KB Output is correct
30 Correct 43 ms 98300 KB Output is correct
31 Correct 44 ms 98244 KB Output is correct
32 Correct 44 ms 98260 KB Output is correct
33 Correct 44 ms 98256 KB Output is correct
34 Correct 45 ms 98340 KB Output is correct
35 Correct 44 ms 98332 KB Output is correct
36 Correct 44 ms 98252 KB Output is correct
37 Correct 50 ms 98312 KB Output is correct
38 Correct 56 ms 98244 KB Output is correct
39 Correct 45 ms 98332 KB Output is correct
40 Correct 44 ms 98260 KB Output is correct
41 Correct 646 ms 98396 KB Output is correct
42 Correct 625 ms 98416 KB Output is correct
43 Correct 648 ms 98500 KB Output is correct
44 Correct 643 ms 98524 KB Output is correct
45 Correct 614 ms 98412 KB Output is correct
46 Correct 653 ms 98412 KB Output is correct
47 Correct 658 ms 98416 KB Output is correct
48 Correct 615 ms 98416 KB Output is correct
49 Correct 629 ms 98472 KB Output is correct
50 Correct 678 ms 98520 KB Output is correct
51 Correct 611 ms 98380 KB Output is correct
52 Correct 675 ms 98412 KB Output is correct
53 Correct 636 ms 98412 KB Output is correct
54 Correct 648 ms 98416 KB Output is correct
55 Correct 671 ms 98408 KB Output is correct