#include <bits/stdc++.h>
using namespace std;
#define int long long
#define INF (int)1e18
#define f first
#define s second
mt19937_64 RNG(chrono::steady_clock::now().time_since_epoch().count());
const int N = 5005;
int m, f[N][2];
void upd(int x, int j, int v = 1){
for (int i = x; i <= m; i += i & (-i))
f[i][j] += v;
}
int query(int x, int j){
int res = 0;
for (int i = x; i; i -= i & (-i))
res += f[i][j];
return res;
}
void Solve()
{
int n; cin >> n;
m = n;
vector <int> a(n + 1), b(n + 1);
for (int i = 1; i <= n; i++){
cin >> a[i]; b[a[i]] = i;
}
vector<vector<int>> c(n + 1, vector<int>(n + 1));
for (int i = 1; i <= n; i++){
for (int i = 1; i <= m; i++) f[i][0] = f[i][1] = 0;
int val = 0;
for (int j = i; j >= 1; j--){
upd(b[j], 0);
}
for (int j = i; j >= 1; j--){
val += query(m, 0) - query(b[j], 0);
val -= query(b[j], 1);
// upd(b[j], 0, -1);
upd(b[j], 1);
c[j][i] = val;
// cout << j << " " << i << " " << val << "\n";
}
}
vector <int> dp(n + 1, INF);
dp[0] = 0;
for (int i = 1; i <= n; i++){
for (int j = 0; j < i; j++){
dp[i] = min(dp[i], dp[j] + c[j + 1][i]);
}
}
cout << dp[n] << "\n";
}
int32_t main()
{
auto begin = std::chrono::high_resolution_clock::now();
ios_base::sync_with_stdio(0);
cin.tie(0);
int t = 1;
// freopen("in", "r", stdin);
// freopen("out", "w", stdout);
// cin >> t;
for(int i = 1; i <= t; i++)
{
//cout << "Case #" << i << ": ";
Solve();
}
auto end = std::chrono::high_resolution_clock::now();
auto elapsed = std::chrono::duration_cast<std::chrono::nanoseconds>(end - begin);
cerr << "Time measured: " << elapsed.count() * 1e-9 << " seconds.\n";
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
212 KB |
Output is correct |
| 2 |
Correct |
1 ms |
212 KB |
Output is correct |
| 3 |
Correct |
1 ms |
212 KB |
Output is correct |
| 4 |
Correct |
1 ms |
212 KB |
Output is correct |
| 5 |
Correct |
1 ms |
324 KB |
Output is correct |
| 6 |
Correct |
1 ms |
212 KB |
Output is correct |
| 7 |
Correct |
1 ms |
212 KB |
Output is correct |
| 8 |
Correct |
1 ms |
212 KB |
Output is correct |
| 9 |
Correct |
1 ms |
212 KB |
Output is correct |
| 10 |
Correct |
1 ms |
212 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
212 KB |
Output is correct |
| 2 |
Correct |
1 ms |
212 KB |
Output is correct |
| 3 |
Correct |
1 ms |
212 KB |
Output is correct |
| 4 |
Correct |
1 ms |
212 KB |
Output is correct |
| 5 |
Correct |
1 ms |
324 KB |
Output is correct |
| 6 |
Correct |
1 ms |
212 KB |
Output is correct |
| 7 |
Correct |
1 ms |
212 KB |
Output is correct |
| 8 |
Correct |
1 ms |
212 KB |
Output is correct |
| 9 |
Correct |
1 ms |
212 KB |
Output is correct |
| 10 |
Correct |
1 ms |
212 KB |
Output is correct |
| 11 |
Correct |
1 ms |
328 KB |
Output is correct |
| 12 |
Correct |
1 ms |
212 KB |
Output is correct |
| 13 |
Correct |
1 ms |
332 KB |
Output is correct |
| 14 |
Correct |
1 ms |
212 KB |
Output is correct |
| 15 |
Correct |
1 ms |
340 KB |
Output is correct |
| 16 |
Correct |
1 ms |
340 KB |
Output is correct |
| 17 |
Correct |
0 ms |
212 KB |
Output is correct |
| 18 |
Correct |
1 ms |
212 KB |
Output is correct |
| 19 |
Correct |
1 ms |
212 KB |
Output is correct |
| 20 |
Correct |
1 ms |
212 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
212 KB |
Output is correct |
| 2 |
Correct |
1 ms |
212 KB |
Output is correct |
| 3 |
Correct |
1 ms |
212 KB |
Output is correct |
| 4 |
Correct |
1 ms |
212 KB |
Output is correct |
| 5 |
Correct |
1 ms |
324 KB |
Output is correct |
| 6 |
Correct |
1 ms |
212 KB |
Output is correct |
| 7 |
Correct |
1 ms |
212 KB |
Output is correct |
| 8 |
Correct |
1 ms |
212 KB |
Output is correct |
| 9 |
Correct |
1 ms |
212 KB |
Output is correct |
| 10 |
Correct |
1 ms |
212 KB |
Output is correct |
| 11 |
Correct |
1 ms |
328 KB |
Output is correct |
| 12 |
Correct |
1 ms |
212 KB |
Output is correct |
| 13 |
Correct |
1 ms |
332 KB |
Output is correct |
| 14 |
Correct |
1 ms |
212 KB |
Output is correct |
| 15 |
Correct |
1 ms |
340 KB |
Output is correct |
| 16 |
Correct |
1 ms |
340 KB |
Output is correct |
| 17 |
Correct |
0 ms |
212 KB |
Output is correct |
| 18 |
Correct |
1 ms |
212 KB |
Output is correct |
| 19 |
Correct |
1 ms |
212 KB |
Output is correct |
| 20 |
Correct |
1 ms |
212 KB |
Output is correct |
| 21 |
Correct |
1 ms |
596 KB |
Output is correct |
| 22 |
Correct |
1 ms |
596 KB |
Output is correct |
| 23 |
Correct |
1 ms |
596 KB |
Output is correct |
| 24 |
Correct |
1 ms |
632 KB |
Output is correct |
| 25 |
Correct |
1 ms |
596 KB |
Output is correct |
| 26 |
Correct |
1 ms |
596 KB |
Output is correct |
| 27 |
Correct |
1 ms |
596 KB |
Output is correct |
| 28 |
Correct |
1 ms |
596 KB |
Output is correct |
| 29 |
Correct |
1 ms |
596 KB |
Output is correct |
| 30 |
Correct |
2 ms |
584 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
212 KB |
Output is correct |
| 2 |
Correct |
1 ms |
212 KB |
Output is correct |
| 3 |
Correct |
1 ms |
212 KB |
Output is correct |
| 4 |
Correct |
1 ms |
212 KB |
Output is correct |
| 5 |
Correct |
1 ms |
324 KB |
Output is correct |
| 6 |
Correct |
1 ms |
212 KB |
Output is correct |
| 7 |
Correct |
1 ms |
212 KB |
Output is correct |
| 8 |
Correct |
1 ms |
212 KB |
Output is correct |
| 9 |
Correct |
1 ms |
212 KB |
Output is correct |
| 10 |
Correct |
1 ms |
212 KB |
Output is correct |
| 11 |
Correct |
1 ms |
328 KB |
Output is correct |
| 12 |
Correct |
1 ms |
212 KB |
Output is correct |
| 13 |
Correct |
1 ms |
332 KB |
Output is correct |
| 14 |
Correct |
1 ms |
212 KB |
Output is correct |
| 15 |
Correct |
1 ms |
340 KB |
Output is correct |
| 16 |
Correct |
1 ms |
340 KB |
Output is correct |
| 17 |
Correct |
0 ms |
212 KB |
Output is correct |
| 18 |
Correct |
1 ms |
212 KB |
Output is correct |
| 19 |
Correct |
1 ms |
212 KB |
Output is correct |
| 20 |
Correct |
1 ms |
212 KB |
Output is correct |
| 21 |
Correct |
1 ms |
596 KB |
Output is correct |
| 22 |
Correct |
1 ms |
596 KB |
Output is correct |
| 23 |
Correct |
1 ms |
596 KB |
Output is correct |
| 24 |
Correct |
1 ms |
632 KB |
Output is correct |
| 25 |
Correct |
1 ms |
596 KB |
Output is correct |
| 26 |
Correct |
1 ms |
596 KB |
Output is correct |
| 27 |
Correct |
1 ms |
596 KB |
Output is correct |
| 28 |
Correct |
1 ms |
596 KB |
Output is correct |
| 29 |
Correct |
1 ms |
596 KB |
Output is correct |
| 30 |
Correct |
2 ms |
584 KB |
Output is correct |
| 31 |
Correct |
10 ms |
5316 KB |
Output is correct |
| 32 |
Correct |
12 ms |
5320 KB |
Output is correct |
| 33 |
Correct |
10 ms |
5320 KB |
Output is correct |
| 34 |
Correct |
9 ms |
5332 KB |
Output is correct |
| 35 |
Correct |
9 ms |
5332 KB |
Output is correct |
| 36 |
Correct |
9 ms |
5316 KB |
Output is correct |
| 37 |
Correct |
9 ms |
5400 KB |
Output is correct |
| 38 |
Correct |
10 ms |
5408 KB |
Output is correct |
| 39 |
Correct |
9 ms |
5332 KB |
Output is correct |
| 40 |
Correct |
10 ms |
5408 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
212 KB |
Output is correct |
| 2 |
Correct |
1 ms |
212 KB |
Output is correct |
| 3 |
Correct |
1 ms |
212 KB |
Output is correct |
| 4 |
Correct |
1 ms |
212 KB |
Output is correct |
| 5 |
Correct |
1 ms |
324 KB |
Output is correct |
| 6 |
Correct |
1 ms |
212 KB |
Output is correct |
| 7 |
Correct |
1 ms |
212 KB |
Output is correct |
| 8 |
Correct |
1 ms |
212 KB |
Output is correct |
| 9 |
Correct |
1 ms |
212 KB |
Output is correct |
| 10 |
Correct |
1 ms |
212 KB |
Output is correct |
| 11 |
Correct |
1 ms |
328 KB |
Output is correct |
| 12 |
Correct |
1 ms |
212 KB |
Output is correct |
| 13 |
Correct |
1 ms |
332 KB |
Output is correct |
| 14 |
Correct |
1 ms |
212 KB |
Output is correct |
| 15 |
Correct |
1 ms |
340 KB |
Output is correct |
| 16 |
Correct |
1 ms |
340 KB |
Output is correct |
| 17 |
Correct |
0 ms |
212 KB |
Output is correct |
| 18 |
Correct |
1 ms |
212 KB |
Output is correct |
| 19 |
Correct |
1 ms |
212 KB |
Output is correct |
| 20 |
Correct |
1 ms |
212 KB |
Output is correct |
| 21 |
Correct |
1 ms |
596 KB |
Output is correct |
| 22 |
Correct |
1 ms |
596 KB |
Output is correct |
| 23 |
Correct |
1 ms |
596 KB |
Output is correct |
| 24 |
Correct |
1 ms |
632 KB |
Output is correct |
| 25 |
Correct |
1 ms |
596 KB |
Output is correct |
| 26 |
Correct |
1 ms |
596 KB |
Output is correct |
| 27 |
Correct |
1 ms |
596 KB |
Output is correct |
| 28 |
Correct |
1 ms |
596 KB |
Output is correct |
| 29 |
Correct |
1 ms |
596 KB |
Output is correct |
| 30 |
Correct |
2 ms |
584 KB |
Output is correct |
| 31 |
Correct |
10 ms |
5316 KB |
Output is correct |
| 32 |
Correct |
12 ms |
5320 KB |
Output is correct |
| 33 |
Correct |
10 ms |
5320 KB |
Output is correct |
| 34 |
Correct |
9 ms |
5332 KB |
Output is correct |
| 35 |
Correct |
9 ms |
5332 KB |
Output is correct |
| 36 |
Correct |
9 ms |
5316 KB |
Output is correct |
| 37 |
Correct |
9 ms |
5400 KB |
Output is correct |
| 38 |
Correct |
10 ms |
5408 KB |
Output is correct |
| 39 |
Correct |
9 ms |
5332 KB |
Output is correct |
| 40 |
Correct |
10 ms |
5408 KB |
Output is correct |
| 41 |
Correct |
859 ms |
196256 KB |
Output is correct |
| 42 |
Correct |
855 ms |
196288 KB |
Output is correct |
| 43 |
Correct |
880 ms |
196408 KB |
Output is correct |
| 44 |
Correct |
864 ms |
196424 KB |
Output is correct |
| 45 |
Correct |
873 ms |
196408 KB |
Output is correct |
| 46 |
Correct |
901 ms |
196580 KB |
Output is correct |
| 47 |
Correct |
837 ms |
196452 KB |
Output is correct |
| 48 |
Correct |
857 ms |
196448 KB |
Output is correct |
| 49 |
Correct |
885 ms |
196452 KB |
Output is correct |
| 50 |
Correct |
857 ms |
196556 KB |
Output is correct |
| 51 |
Correct |
842 ms |
196456 KB |
Output is correct |
| 52 |
Correct |
842 ms |
196448 KB |
Output is correct |
| 53 |
Correct |
849 ms |
196452 KB |
Output is correct |
| 54 |
Correct |
824 ms |
196448 KB |
Output is correct |
| 55 |
Correct |
842 ms |
196444 KB |
Output is correct |
