#include<iostream>
#include<vector>
#include<algorithm>
#include<utility>
#define INF 10000000000000000
#define int long long
using namespace std;
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
int n;
cin >> n;
vector<int>v(n+5);
vector<int>pos(n+5);
//vector<vector<int> >arr(n+5, vector<int>(n+5));
for (int i = 1 ; i <= n ; i++) {
cin >> v[i];
pos[v[i]] = i;
}
vector<vector<int> >front(n+5, vector<int>(n+5, 0));
//" front[i][j] -> 1~j有幾個在i前"
for (int i = 1 ; i<= n ; i++) {
front[i][0] = 0;
for (int j = 1 ; j <= n ; j++) {
if (pos[j] < pos[i]) front[i][j] = front[i][j-1] + 1;
else front[i][j] = front[i][j-1];
}
}
vector<int>dp(n, INF);
vector<vector<int> >cost(n+5, vector<int>(n+5));
//cost(i-1, j) :[... ][j ...] [ i-1 i-2 ... j+1] ...
//cost(i, j) : [... ][j ...] [ i i-1 ... j+1] ...
//cost(i+1, j): [... ][j ...] [ i+1 i ... j+1] ...
//"cost[i+1][j] = cost[i][j] + (j+1~n 在i+1前) - (j+1~i 在i+1後) "// i > j
//"cost[i][j] = cost[i-1][j] + (j+1~n 在i前) - (j+1~i-1 在i後) "// i > j
vector<int>ans(n+5, INF);
ans[0] = 0;
for (int j = 0 ; j <= n ; j++) {
//cost[i][0] = 0;
cost[j+1][j] = ans[j] + (front[j+1][n] - front[j+1][j]);
ans[j+1] = min(ans[j+1], cost[j+1][j]);
//cout << j << " " << ans[j] << "\n";
//cout << j+1 << " " << j << " " << cost[j+1][j] << "\n";
for (int i = j+2 ; i <= n ; i++) {
// j j-1 ... [i i-1 ... j+1]
cost[i][j] = cost[i-1][j] + (front[i][n] - front[i][j]) - ((i-j-1) - (front[i][i-1] - front[i][j]) );
ans[i] = min(ans[i], cost[i][j]);
//cout << i << " " << j << " " << cost[i][j] << "\n";
}
}
cout << ans[n] << "\n";
for (int i = 1 ; i <= n ; i++) {
for (int j = 0 ; j < i ; j++) {
dp[i] = min(dp[i], dp[j] + cost[i][j]);
}
}
}
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
348 KB |
Output is correct |
| 2 |
Correct |
1 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
0 ms |
348 KB |
Output is correct |
| 6 |
Correct |
0 ms |
452 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 KB |
Output is correct |
| 8 |
Correct |
0 ms |
348 KB |
Output is correct |
| 9 |
Correct |
1 ms |
344 KB |
Output is correct |
| 10 |
Correct |
1 ms |
344 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
348 KB |
Output is correct |
| 2 |
Correct |
1 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
0 ms |
348 KB |
Output is correct |
| 6 |
Correct |
0 ms |
452 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 KB |
Output is correct |
| 8 |
Correct |
0 ms |
348 KB |
Output is correct |
| 9 |
Correct |
1 ms |
344 KB |
Output is correct |
| 10 |
Correct |
1 ms |
344 KB |
Output is correct |
| 11 |
Correct |
1 ms |
344 KB |
Output is correct |
| 12 |
Correct |
0 ms |
348 KB |
Output is correct |
| 13 |
Correct |
0 ms |
348 KB |
Output is correct |
| 14 |
Correct |
0 ms |
348 KB |
Output is correct |
| 15 |
Correct |
0 ms |
348 KB |
Output is correct |
| 16 |
Correct |
1 ms |
348 KB |
Output is correct |
| 17 |
Correct |
0 ms |
348 KB |
Output is correct |
| 18 |
Correct |
1 ms |
344 KB |
Output is correct |
| 19 |
Correct |
0 ms |
344 KB |
Output is correct |
| 20 |
Correct |
1 ms |
344 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
348 KB |
Output is correct |
| 2 |
Correct |
1 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
0 ms |
348 KB |
Output is correct |
| 6 |
Correct |
0 ms |
452 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 KB |
Output is correct |
| 8 |
Correct |
0 ms |
348 KB |
Output is correct |
| 9 |
Correct |
1 ms |
344 KB |
Output is correct |
| 10 |
Correct |
1 ms |
344 KB |
Output is correct |
| 11 |
Correct |
1 ms |
344 KB |
Output is correct |
| 12 |
Correct |
0 ms |
348 KB |
Output is correct |
| 13 |
Correct |
0 ms |
348 KB |
Output is correct |
| 14 |
Correct |
0 ms |
348 KB |
Output is correct |
| 15 |
Correct |
0 ms |
348 KB |
Output is correct |
| 16 |
Correct |
1 ms |
348 KB |
Output is correct |
| 17 |
Correct |
0 ms |
348 KB |
Output is correct |
| 18 |
Correct |
1 ms |
344 KB |
Output is correct |
| 19 |
Correct |
0 ms |
344 KB |
Output is correct |
| 20 |
Correct |
1 ms |
344 KB |
Output is correct |
| 21 |
Correct |
1 ms |
1364 KB |
Output is correct |
| 22 |
Correct |
1 ms |
1116 KB |
Output is correct |
| 23 |
Correct |
1 ms |
1116 KB |
Output is correct |
| 24 |
Correct |
1 ms |
1116 KB |
Output is correct |
| 25 |
Correct |
2 ms |
1112 KB |
Output is correct |
| 26 |
Correct |
1 ms |
1116 KB |
Output is correct |
| 27 |
Correct |
1 ms |
1116 KB |
Output is correct |
| 28 |
Correct |
1 ms |
1116 KB |
Output is correct |
| 29 |
Correct |
1 ms |
1116 KB |
Output is correct |
| 30 |
Correct |
1 ms |
1116 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
348 KB |
Output is correct |
| 2 |
Correct |
1 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
0 ms |
348 KB |
Output is correct |
| 6 |
Correct |
0 ms |
452 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 KB |
Output is correct |
| 8 |
Correct |
0 ms |
348 KB |
Output is correct |
| 9 |
Correct |
1 ms |
344 KB |
Output is correct |
| 10 |
Correct |
1 ms |
344 KB |
Output is correct |
| 11 |
Correct |
1 ms |
344 KB |
Output is correct |
| 12 |
Correct |
0 ms |
348 KB |
Output is correct |
| 13 |
Correct |
0 ms |
348 KB |
Output is correct |
| 14 |
Correct |
0 ms |
348 KB |
Output is correct |
| 15 |
Correct |
0 ms |
348 KB |
Output is correct |
| 16 |
Correct |
1 ms |
348 KB |
Output is correct |
| 17 |
Correct |
0 ms |
348 KB |
Output is correct |
| 18 |
Correct |
1 ms |
344 KB |
Output is correct |
| 19 |
Correct |
0 ms |
344 KB |
Output is correct |
| 20 |
Correct |
1 ms |
344 KB |
Output is correct |
| 21 |
Correct |
1 ms |
1364 KB |
Output is correct |
| 22 |
Correct |
1 ms |
1116 KB |
Output is correct |
| 23 |
Correct |
1 ms |
1116 KB |
Output is correct |
| 24 |
Correct |
1 ms |
1116 KB |
Output is correct |
| 25 |
Correct |
2 ms |
1112 KB |
Output is correct |
| 26 |
Correct |
1 ms |
1116 KB |
Output is correct |
| 27 |
Correct |
1 ms |
1116 KB |
Output is correct |
| 28 |
Correct |
1 ms |
1116 KB |
Output is correct |
| 29 |
Correct |
1 ms |
1116 KB |
Output is correct |
| 30 |
Correct |
1 ms |
1116 KB |
Output is correct |
| 31 |
Correct |
8 ms |
10588 KB |
Output is correct |
| 32 |
Correct |
8 ms |
10584 KB |
Output is correct |
| 33 |
Correct |
8 ms |
10588 KB |
Output is correct |
| 34 |
Correct |
8 ms |
10584 KB |
Output is correct |
| 35 |
Correct |
8 ms |
10588 KB |
Output is correct |
| 36 |
Correct |
8 ms |
10444 KB |
Output is correct |
| 37 |
Correct |
8 ms |
10588 KB |
Output is correct |
| 38 |
Correct |
8 ms |
10584 KB |
Output is correct |
| 39 |
Correct |
9 ms |
10588 KB |
Output is correct |
| 40 |
Correct |
8 ms |
10568 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
348 KB |
Output is correct |
| 2 |
Correct |
1 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
0 ms |
348 KB |
Output is correct |
| 6 |
Correct |
0 ms |
452 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 KB |
Output is correct |
| 8 |
Correct |
0 ms |
348 KB |
Output is correct |
| 9 |
Correct |
1 ms |
344 KB |
Output is correct |
| 10 |
Correct |
1 ms |
344 KB |
Output is correct |
| 11 |
Correct |
1 ms |
344 KB |
Output is correct |
| 12 |
Correct |
0 ms |
348 KB |
Output is correct |
| 13 |
Correct |
0 ms |
348 KB |
Output is correct |
| 14 |
Correct |
0 ms |
348 KB |
Output is correct |
| 15 |
Correct |
0 ms |
348 KB |
Output is correct |
| 16 |
Correct |
1 ms |
348 KB |
Output is correct |
| 17 |
Correct |
0 ms |
348 KB |
Output is correct |
| 18 |
Correct |
1 ms |
344 KB |
Output is correct |
| 19 |
Correct |
0 ms |
344 KB |
Output is correct |
| 20 |
Correct |
1 ms |
344 KB |
Output is correct |
| 21 |
Correct |
1 ms |
1364 KB |
Output is correct |
| 22 |
Correct |
1 ms |
1116 KB |
Output is correct |
| 23 |
Correct |
1 ms |
1116 KB |
Output is correct |
| 24 |
Correct |
1 ms |
1116 KB |
Output is correct |
| 25 |
Correct |
2 ms |
1112 KB |
Output is correct |
| 26 |
Correct |
1 ms |
1116 KB |
Output is correct |
| 27 |
Correct |
1 ms |
1116 KB |
Output is correct |
| 28 |
Correct |
1 ms |
1116 KB |
Output is correct |
| 29 |
Correct |
1 ms |
1116 KB |
Output is correct |
| 30 |
Correct |
1 ms |
1116 KB |
Output is correct |
| 31 |
Correct |
8 ms |
10588 KB |
Output is correct |
| 32 |
Correct |
8 ms |
10584 KB |
Output is correct |
| 33 |
Correct |
8 ms |
10588 KB |
Output is correct |
| 34 |
Correct |
8 ms |
10584 KB |
Output is correct |
| 35 |
Correct |
8 ms |
10588 KB |
Output is correct |
| 36 |
Correct |
8 ms |
10444 KB |
Output is correct |
| 37 |
Correct |
8 ms |
10588 KB |
Output is correct |
| 38 |
Correct |
8 ms |
10584 KB |
Output is correct |
| 39 |
Correct |
9 ms |
10588 KB |
Output is correct |
| 40 |
Correct |
8 ms |
10568 KB |
Output is correct |
| 41 |
Correct |
648 ms |
392704 KB |
Output is correct |
| 42 |
Correct |
627 ms |
392788 KB |
Output is correct |
| 43 |
Correct |
610 ms |
392996 KB |
Output is correct |
| 44 |
Correct |
616 ms |
392832 KB |
Output is correct |
| 45 |
Correct |
622 ms |
393016 KB |
Output is correct |
| 46 |
Correct |
624 ms |
393116 KB |
Output is correct |
| 47 |
Correct |
627 ms |
393348 KB |
Output is correct |
| 48 |
Correct |
628 ms |
393048 KB |
Output is correct |
| 49 |
Correct |
615 ms |
393040 KB |
Output is correct |
| 50 |
Correct |
617 ms |
393096 KB |
Output is correct |
| 51 |
Correct |
623 ms |
393096 KB |
Output is correct |
| 52 |
Correct |
614 ms |
393044 KB |
Output is correct |
| 53 |
Correct |
620 ms |
393096 KB |
Output is correct |
| 54 |
Correct |
617 ms |
393300 KB |
Output is correct |
| 55 |
Correct |
620 ms |
393096 KB |
Output is correct |
