#include <iostream>
using namespace std;
int inv[5001][5001];
int main()
{
int N;
cin >> N;
int H[N+1], pos[N+1];
for(int i = 1; i <= N; i++) cin >> H[i];
for(int i = 1; i <= N; i++) pos[ H[i] ] = i;
int lowct[N+1][N+1]; //number of positions <= j with value greater than i
for(int i = 1; i <= N; i++)
{
lowct[i][0] = 0;
for(int j = 1; j <= N; j++)
{
lowct[i][j] = lowct[i][j-1] + (pos[j] > pos[i]);
}
}
for(int i = 1; i <= N; i++)
{
inv[i][i] = 0;
for(int j = i+1; j <= N; j++)
{
inv[i][j] = inv[i][j-1] + (lowct[j][j] - lowct[j][i-1]);
}
}
for(int j = 0; j <= N; j++) inv[0][j] = inv[1][j];
// for(int i = 1; i <= N; i++)
// {
// cout << pos[i] << ' ';
// }
// cout << '\n';
int dp[N+1];
dp[0] = 0;
for(int i = 1; i <= N; i++)
{
dp[i] = 1e9;
for(int l = 1; l <= i; l++)
{
dp[i] = min(dp[i], dp[i-l] + l*(l-1)/2 - inv[i-l+1][i] + inv[1][i] - inv[1][i-l] - inv[i-l+1][i]);
// cout << i-l+1 << ' ' << i << ' ' << l*(l-1)/2 - inv[i-l+1][i] << ' ' << inv[1][i] - inv[1][i-l] - inv[i-l+1][i] << ' ' << dp[i-l] << '\n';
}
// cout << dp[i] << ' ';
}
cout << dp[N] << '\n';
}
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
308 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 |
332 KB |
Output is correct |
| 6 |
Correct |
1 ms |
332 KB |
Output is correct |
| 7 |
Correct |
0 ms |
332 KB |
Output is correct |
| 8 |
Correct |
0 ms |
336 KB |
Output is correct |
| 9 |
Correct |
0 ms |
332 KB |
Output is correct |
| 10 |
Correct |
0 ms |
332 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
308 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 |
332 KB |
Output is correct |
| 6 |
Correct |
1 ms |
332 KB |
Output is correct |
| 7 |
Correct |
0 ms |
332 KB |
Output is correct |
| 8 |
Correct |
0 ms |
336 KB |
Output is correct |
| 9 |
Correct |
0 ms |
332 KB |
Output is correct |
| 10 |
Correct |
0 ms |
332 KB |
Output is correct |
| 11 |
Correct |
1 ms |
332 KB |
Output is correct |
| 12 |
Correct |
1 ms |
304 KB |
Output is correct |
| 13 |
Correct |
1 ms |
332 KB |
Output is correct |
| 14 |
Correct |
1 ms |
332 KB |
Output is correct |
| 15 |
Correct |
1 ms |
332 KB |
Output is correct |
| 16 |
Correct |
1 ms |
332 KB |
Output is correct |
| 17 |
Correct |
1 ms |
332 KB |
Output is correct |
| 18 |
Correct |
1 ms |
300 KB |
Output is correct |
| 19 |
Correct |
1 ms |
332 KB |
Output is correct |
| 20 |
Correct |
1 ms |
332 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
308 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 |
332 KB |
Output is correct |
| 6 |
Correct |
1 ms |
332 KB |
Output is correct |
| 7 |
Correct |
0 ms |
332 KB |
Output is correct |
| 8 |
Correct |
0 ms |
336 KB |
Output is correct |
| 9 |
Correct |
0 ms |
332 KB |
Output is correct |
| 10 |
Correct |
0 ms |
332 KB |
Output is correct |
| 11 |
Correct |
1 ms |
332 KB |
Output is correct |
| 12 |
Correct |
1 ms |
304 KB |
Output is correct |
| 13 |
Correct |
1 ms |
332 KB |
Output is correct |
| 14 |
Correct |
1 ms |
332 KB |
Output is correct |
| 15 |
Correct |
1 ms |
332 KB |
Output is correct |
| 16 |
Correct |
1 ms |
332 KB |
Output is correct |
| 17 |
Correct |
1 ms |
332 KB |
Output is correct |
| 18 |
Correct |
1 ms |
300 KB |
Output is correct |
| 19 |
Correct |
1 ms |
332 KB |
Output is correct |
| 20 |
Correct |
1 ms |
332 KB |
Output is correct |
| 21 |
Correct |
1 ms |
1232 KB |
Output is correct |
| 22 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 23 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 24 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 25 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 26 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 27 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 28 |
Correct |
1 ms |
1356 KB |
Output is correct |
| 29 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 30 |
Correct |
1 ms |
1228 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
308 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 |
332 KB |
Output is correct |
| 6 |
Correct |
1 ms |
332 KB |
Output is correct |
| 7 |
Correct |
0 ms |
332 KB |
Output is correct |
| 8 |
Correct |
0 ms |
336 KB |
Output is correct |
| 9 |
Correct |
0 ms |
332 KB |
Output is correct |
| 10 |
Correct |
0 ms |
332 KB |
Output is correct |
| 11 |
Correct |
1 ms |
332 KB |
Output is correct |
| 12 |
Correct |
1 ms |
304 KB |
Output is correct |
| 13 |
Correct |
1 ms |
332 KB |
Output is correct |
| 14 |
Correct |
1 ms |
332 KB |
Output is correct |
| 15 |
Correct |
1 ms |
332 KB |
Output is correct |
| 16 |
Correct |
1 ms |
332 KB |
Output is correct |
| 17 |
Correct |
1 ms |
332 KB |
Output is correct |
| 18 |
Correct |
1 ms |
300 KB |
Output is correct |
| 19 |
Correct |
1 ms |
332 KB |
Output is correct |
| 20 |
Correct |
1 ms |
332 KB |
Output is correct |
| 21 |
Correct |
1 ms |
1232 KB |
Output is correct |
| 22 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 23 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 24 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 25 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 26 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 27 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 28 |
Correct |
1 ms |
1356 KB |
Output is correct |
| 29 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 30 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 31 |
Correct |
6 ms |
7244 KB |
Output is correct |
| 32 |
Correct |
6 ms |
7212 KB |
Output is correct |
| 33 |
Correct |
8 ms |
7244 KB |
Output is correct |
| 34 |
Correct |
6 ms |
7244 KB |
Output is correct |
| 35 |
Correct |
6 ms |
7208 KB |
Output is correct |
| 36 |
Correct |
6 ms |
7216 KB |
Output is correct |
| 37 |
Correct |
6 ms |
7244 KB |
Output is correct |
| 38 |
Correct |
6 ms |
7244 KB |
Output is correct |
| 39 |
Correct |
6 ms |
7260 KB |
Output is correct |
| 40 |
Correct |
6 ms |
7244 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
308 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 |
332 KB |
Output is correct |
| 6 |
Correct |
1 ms |
332 KB |
Output is correct |
| 7 |
Correct |
0 ms |
332 KB |
Output is correct |
| 8 |
Correct |
0 ms |
336 KB |
Output is correct |
| 9 |
Correct |
0 ms |
332 KB |
Output is correct |
| 10 |
Correct |
0 ms |
332 KB |
Output is correct |
| 11 |
Correct |
1 ms |
332 KB |
Output is correct |
| 12 |
Correct |
1 ms |
304 KB |
Output is correct |
| 13 |
Correct |
1 ms |
332 KB |
Output is correct |
| 14 |
Correct |
1 ms |
332 KB |
Output is correct |
| 15 |
Correct |
1 ms |
332 KB |
Output is correct |
| 16 |
Correct |
1 ms |
332 KB |
Output is correct |
| 17 |
Correct |
1 ms |
332 KB |
Output is correct |
| 18 |
Correct |
1 ms |
300 KB |
Output is correct |
| 19 |
Correct |
1 ms |
332 KB |
Output is correct |
| 20 |
Correct |
1 ms |
332 KB |
Output is correct |
| 21 |
Correct |
1 ms |
1232 KB |
Output is correct |
| 22 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 23 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 24 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 25 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 26 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 27 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 28 |
Correct |
1 ms |
1356 KB |
Output is correct |
| 29 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 30 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 31 |
Correct |
6 ms |
7244 KB |
Output is correct |
| 32 |
Correct |
6 ms |
7212 KB |
Output is correct |
| 33 |
Correct |
8 ms |
7244 KB |
Output is correct |
| 34 |
Correct |
6 ms |
7244 KB |
Output is correct |
| 35 |
Correct |
6 ms |
7208 KB |
Output is correct |
| 36 |
Correct |
6 ms |
7216 KB |
Output is correct |
| 37 |
Correct |
6 ms |
7244 KB |
Output is correct |
| 38 |
Correct |
6 ms |
7244 KB |
Output is correct |
| 39 |
Correct |
6 ms |
7260 KB |
Output is correct |
| 40 |
Correct |
6 ms |
7244 KB |
Output is correct |
| 41 |
Correct |
392 ms |
165032 KB |
Output is correct |
| 42 |
Correct |
389 ms |
165084 KB |
Output is correct |
| 43 |
Correct |
392 ms |
165228 KB |
Output is correct |
| 44 |
Correct |
385 ms |
165056 KB |
Output is correct |
| 45 |
Correct |
341 ms |
165180 KB |
Output is correct |
| 46 |
Correct |
390 ms |
165136 KB |
Output is correct |
| 47 |
Correct |
392 ms |
165284 KB |
Output is correct |
| 48 |
Correct |
391 ms |
165196 KB |
Output is correct |
| 49 |
Correct |
399 ms |
165236 KB |
Output is correct |
| 50 |
Correct |
350 ms |
165192 KB |
Output is correct |
| 51 |
Correct |
394 ms |
165228 KB |
Output is correct |
| 52 |
Correct |
390 ms |
165192 KB |
Output is correct |
| 53 |
Correct |
396 ms |
165100 KB |
Output is correct |
| 54 |
Correct |
387 ms |
165140 KB |
Output is correct |
| 55 |
Correct |
350 ms |
165320 KB |
Output is correct |
