#include <bits/stdc++.h>
using namespace std;
#define lli long long int
#define pb push_back
#define eb emplace_back
#define pii pair<int,int>
#define X first
#define Y second
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
void abc() {cout << endl;}
template <typename T, typename ...U> void abc(T i, U ...j) {
cout << i << ' ', abc(j...);
}
template <typename T> void printv(T l, T r) {
for (; l != r; ++l) cout << *l << " \n"[l + 1 == r];
}
#ifdef Doludu
#define test(x...) abc("[" + string(#x) + "]", x)
#define owo freopen("input.txt", "r", stdin), freopen("output.txt", "w", stdout)
#else
#define test(x...) void(0)
#define owo ios::sync_with_stdio(false), cin.tie(0)
#endif
const int N = 200000;
int main () {
owo;
int n;
cin >> n;
vector <int> p(n);
for (int i = 0; i < n; ++i)
cin >> p[i], --p[i];
vector <int> dp(n + 1, 1 << 30);
vector <vector <int>> cost(n + 1, vector <int> (n + 1, 0));
vector <vector <int>> inversion(n + 1, vector <int> (n + 1, 0));
for (int i = 0; i < n; ++i) {
for (int j = i + 1; j < n; ++j) {
if (p[i] > p[j])
inversion[p[j]][p[i] + 1]++;
}
}
for (int i = 0; i < n; ++i) {
for (int j = 0; j < n; ++j) {
inversion[i][j + 1] += inversion[i][j];
}
}
vector <int> q(n);
for (int r = 1; r <= n; ++r) {
int t = 0;
for (int i = 0; i < n; ++i) if (p[i] < r)
q[p[i]] = t++;
for (int l = r - 1; ~l; --l) {
cost[l][r] = cost[l + 1][r] + r - q[l] - 1 - inversion[l][r];
}
}
dp[0] = 0;
for (int i = 1; i <= n; ++i) {
for (int j = 0; j < i; ++j) {
// max at postion j
dp[i] = min(dp[i], dp[j] + cost[j][i]);
}
}
cout << dp[n] << endl;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 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 |
0 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 |
1 ms |
204 KB |
Output is correct |
| 10 |
Correct |
0 ms |
204 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 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 |
0 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 |
1 ms |
204 KB |
Output is correct |
| 10 |
Correct |
0 ms |
204 KB |
Output is correct |
| 11 |
Correct |
1 ms |
204 KB |
Output is correct |
| 12 |
Correct |
0 ms |
204 KB |
Output is correct |
| 13 |
Correct |
0 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 |
1 ms |
204 KB |
Output is correct |
| 18 |
Correct |
0 ms |
204 KB |
Output is correct |
| 19 |
Correct |
0 ms |
204 KB |
Output is correct |
| 20 |
Correct |
0 ms |
204 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 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 |
0 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 |
1 ms |
204 KB |
Output is correct |
| 10 |
Correct |
0 ms |
204 KB |
Output is correct |
| 11 |
Correct |
1 ms |
204 KB |
Output is correct |
| 12 |
Correct |
0 ms |
204 KB |
Output is correct |
| 13 |
Correct |
0 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 |
1 ms |
204 KB |
Output is correct |
| 18 |
Correct |
0 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 |
588 KB |
Output is correct |
| 22 |
Correct |
1 ms |
588 KB |
Output is correct |
| 23 |
Correct |
1 ms |
588 KB |
Output is correct |
| 24 |
Correct |
1 ms |
588 KB |
Output is correct |
| 25 |
Correct |
1 ms |
588 KB |
Output is correct |
| 26 |
Correct |
1 ms |
588 KB |
Output is correct |
| 27 |
Correct |
1 ms |
588 KB |
Output is correct |
| 28 |
Correct |
1 ms |
588 KB |
Output is correct |
| 29 |
Correct |
1 ms |
588 KB |
Output is correct |
| 30 |
Correct |
1 ms |
588 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 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 |
0 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 |
1 ms |
204 KB |
Output is correct |
| 10 |
Correct |
0 ms |
204 KB |
Output is correct |
| 11 |
Correct |
1 ms |
204 KB |
Output is correct |
| 12 |
Correct |
0 ms |
204 KB |
Output is correct |
| 13 |
Correct |
0 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 |
1 ms |
204 KB |
Output is correct |
| 18 |
Correct |
0 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 |
588 KB |
Output is correct |
| 22 |
Correct |
1 ms |
588 KB |
Output is correct |
| 23 |
Correct |
1 ms |
588 KB |
Output is correct |
| 24 |
Correct |
1 ms |
588 KB |
Output is correct |
| 25 |
Correct |
1 ms |
588 KB |
Output is correct |
| 26 |
Correct |
1 ms |
588 KB |
Output is correct |
| 27 |
Correct |
1 ms |
588 KB |
Output is correct |
| 28 |
Correct |
1 ms |
588 KB |
Output is correct |
| 29 |
Correct |
1 ms |
588 KB |
Output is correct |
| 30 |
Correct |
1 ms |
588 KB |
Output is correct |
| 31 |
Correct |
10 ms |
5324 KB |
Output is correct |
| 32 |
Correct |
9 ms |
5392 KB |
Output is correct |
| 33 |
Correct |
9 ms |
5324 KB |
Output is correct |
| 34 |
Correct |
8 ms |
5324 KB |
Output is correct |
| 35 |
Correct |
9 ms |
5400 KB |
Output is correct |
| 36 |
Correct |
9 ms |
5400 KB |
Output is correct |
| 37 |
Correct |
7 ms |
5324 KB |
Output is correct |
| 38 |
Correct |
7 ms |
5324 KB |
Output is correct |
| 39 |
Correct |
8 ms |
5324 KB |
Output is correct |
| 40 |
Correct |
8 ms |
5324 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 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 |
0 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 |
1 ms |
204 KB |
Output is correct |
| 10 |
Correct |
0 ms |
204 KB |
Output is correct |
| 11 |
Correct |
1 ms |
204 KB |
Output is correct |
| 12 |
Correct |
0 ms |
204 KB |
Output is correct |
| 13 |
Correct |
0 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 |
1 ms |
204 KB |
Output is correct |
| 18 |
Correct |
0 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 |
588 KB |
Output is correct |
| 22 |
Correct |
1 ms |
588 KB |
Output is correct |
| 23 |
Correct |
1 ms |
588 KB |
Output is correct |
| 24 |
Correct |
1 ms |
588 KB |
Output is correct |
| 25 |
Correct |
1 ms |
588 KB |
Output is correct |
| 26 |
Correct |
1 ms |
588 KB |
Output is correct |
| 27 |
Correct |
1 ms |
588 KB |
Output is correct |
| 28 |
Correct |
1 ms |
588 KB |
Output is correct |
| 29 |
Correct |
1 ms |
588 KB |
Output is correct |
| 30 |
Correct |
1 ms |
588 KB |
Output is correct |
| 31 |
Correct |
10 ms |
5324 KB |
Output is correct |
| 32 |
Correct |
9 ms |
5392 KB |
Output is correct |
| 33 |
Correct |
9 ms |
5324 KB |
Output is correct |
| 34 |
Correct |
8 ms |
5324 KB |
Output is correct |
| 35 |
Correct |
9 ms |
5400 KB |
Output is correct |
| 36 |
Correct |
9 ms |
5400 KB |
Output is correct |
| 37 |
Correct |
7 ms |
5324 KB |
Output is correct |
| 38 |
Correct |
7 ms |
5324 KB |
Output is correct |
| 39 |
Correct |
8 ms |
5324 KB |
Output is correct |
| 40 |
Correct |
8 ms |
5324 KB |
Output is correct |
| 41 |
Correct |
706 ms |
196200 KB |
Output is correct |
| 42 |
Correct |
611 ms |
196424 KB |
Output is correct |
| 43 |
Correct |
671 ms |
196456 KB |
Output is correct |
| 44 |
Correct |
657 ms |
196484 KB |
Output is correct |
| 45 |
Correct |
627 ms |
196420 KB |
Output is correct |
| 46 |
Correct |
641 ms |
196424 KB |
Output is correct |
| 47 |
Correct |
626 ms |
196504 KB |
Output is correct |
| 48 |
Correct |
651 ms |
196496 KB |
Output is correct |
| 49 |
Correct |
628 ms |
196492 KB |
Output is correct |
| 50 |
Correct |
622 ms |
196420 KB |
Output is correct |
| 51 |
Correct |
657 ms |
196504 KB |
Output is correct |
| 52 |
Correct |
638 ms |
196496 KB |
Output is correct |
| 53 |
Correct |
618 ms |
196436 KB |
Output is correct |
| 54 |
Correct |
605 ms |
196496 KB |
Output is correct |
| 55 |
Correct |
656 ms |
196564 KB |
Output is correct |
