#include <bits/stdc++.h>
#pragma GCC optimize ("O2,unroll-loops")
//#pragma GCC optimize("no-stack-protector,fast-math")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<pii, int> piii;
typedef pair<ll, ll> pll;
#define debug(x) cerr<<#x<<'='<<(x)<<endl;
#define debugp(x) cerr<<#x<<"= {"<<(x.first)<<", "<<(x.second)<<"}"<<endl;
#define debug2(x, y) cerr<<"{"<<#x<<", "<<#y<<"} = {"<<(x)<<", "<<(y)<<"}"<<endl;
#define debugv(v) {cerr<<#v<<" : ";for (auto x:v) cerr<<x<<' ';cerr<<endl;}
#define all(x) x.begin(), x.end()
#define pb push_back
#define kill(x) return cout<<x<<'\n', 0;
const int inf=1000000010;
const ll INF=1000000000000001000LL;
const int mod=1000000007;
const int MAXN=5010, LOG=20;
int n, m, k, u, v, x, y, t, a, b;
int A[MAXN], B[MAXN];
int cnt[MAXN][MAXN];
int dp[MAXN];
inline int C2(int x){ return x*(x-1)/2;}
int main(){
ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
//freopen("input.txt", "r", stdin);
//freopen("output.txt", "w", stdout);
cin>>n;
for (int i=1; i<=n; i++) cin>>A[i], B[A[i]]=i;
for (int r=1; r<=n; r++){
for (int l=r-1; l; l--){
cnt[l][r]=cnt[l+1][r]+cnt[l][r-1]-cnt[l+1][r-1]+(B[l]>B[r]);
}
}
for (int i=1; i<=n; i++){
dp[i]=C2(i)-cnt[1][i] + cnt[1][n]-cnt[1][i]-cnt[i+1][n];
for (int j=1; j<i; j++){
int cost1=C2(i-j)-cnt[j+1][i]; // (j, i]
int cost2=cnt[j+1][n]-cnt[j+1][i]-cnt[i+1][n];
dp[i]=min(dp[i], dp[j] + cost1 + cost2);
}
}
cout<<dp[n]<<"\n";
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
332 KB |
Output is correct |
| 2 |
Correct |
0 ms |
332 KB |
Output is correct |
| 3 |
Correct |
1 ms |
332 KB |
Output is correct |
| 4 |
Correct |
0 ms |
332 KB |
Output is correct |
| 5 |
Correct |
0 ms |
332 KB |
Output is correct |
| 6 |
Correct |
1 ms |
332 KB |
Output is correct |
| 7 |
Correct |
1 ms |
332 KB |
Output is correct |
| 8 |
Correct |
0 ms |
332 KB |
Output is correct |
| 9 |
Correct |
0 ms |
332 KB |
Output is correct |
| 10 |
Correct |
0 ms |
332 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
332 KB |
Output is correct |
| 2 |
Correct |
0 ms |
332 KB |
Output is correct |
| 3 |
Correct |
1 ms |
332 KB |
Output is correct |
| 4 |
Correct |
0 ms |
332 KB |
Output is correct |
| 5 |
Correct |
0 ms |
332 KB |
Output is correct |
| 6 |
Correct |
1 ms |
332 KB |
Output is correct |
| 7 |
Correct |
1 ms |
332 KB |
Output is correct |
| 8 |
Correct |
0 ms |
332 KB |
Output is correct |
| 9 |
Correct |
0 ms |
332 KB |
Output is correct |
| 10 |
Correct |
0 ms |
332 KB |
Output is correct |
| 11 |
Correct |
0 ms |
332 KB |
Output is correct |
| 12 |
Correct |
1 ms |
332 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 |
0 ms |
332 KB |
Output is correct |
| 19 |
Correct |
1 ms |
324 KB |
Output is correct |
| 20 |
Correct |
1 ms |
332 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
332 KB |
Output is correct |
| 2 |
Correct |
0 ms |
332 KB |
Output is correct |
| 3 |
Correct |
1 ms |
332 KB |
Output is correct |
| 4 |
Correct |
0 ms |
332 KB |
Output is correct |
| 5 |
Correct |
0 ms |
332 KB |
Output is correct |
| 6 |
Correct |
1 ms |
332 KB |
Output is correct |
| 7 |
Correct |
1 ms |
332 KB |
Output is correct |
| 8 |
Correct |
0 ms |
332 KB |
Output is correct |
| 9 |
Correct |
0 ms |
332 KB |
Output is correct |
| 10 |
Correct |
0 ms |
332 KB |
Output is correct |
| 11 |
Correct |
0 ms |
332 KB |
Output is correct |
| 12 |
Correct |
1 ms |
332 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 |
0 ms |
332 KB |
Output is correct |
| 19 |
Correct |
1 ms |
324 KB |
Output is correct |
| 20 |
Correct |
1 ms |
332 KB |
Output is correct |
| 21 |
Correct |
1 ms |
1100 KB |
Output is correct |
| 22 |
Correct |
1 ms |
1100 KB |
Output is correct |
| 23 |
Correct |
2 ms |
1100 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 |
1228 KB |
Output is correct |
| 29 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 30 |
Correct |
1 ms |
1100 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
332 KB |
Output is correct |
| 2 |
Correct |
0 ms |
332 KB |
Output is correct |
| 3 |
Correct |
1 ms |
332 KB |
Output is correct |
| 4 |
Correct |
0 ms |
332 KB |
Output is correct |
| 5 |
Correct |
0 ms |
332 KB |
Output is correct |
| 6 |
Correct |
1 ms |
332 KB |
Output is correct |
| 7 |
Correct |
1 ms |
332 KB |
Output is correct |
| 8 |
Correct |
0 ms |
332 KB |
Output is correct |
| 9 |
Correct |
0 ms |
332 KB |
Output is correct |
| 10 |
Correct |
0 ms |
332 KB |
Output is correct |
| 11 |
Correct |
0 ms |
332 KB |
Output is correct |
| 12 |
Correct |
1 ms |
332 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 |
0 ms |
332 KB |
Output is correct |
| 19 |
Correct |
1 ms |
324 KB |
Output is correct |
| 20 |
Correct |
1 ms |
332 KB |
Output is correct |
| 21 |
Correct |
1 ms |
1100 KB |
Output is correct |
| 22 |
Correct |
1 ms |
1100 KB |
Output is correct |
| 23 |
Correct |
2 ms |
1100 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 |
1228 KB |
Output is correct |
| 29 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 30 |
Correct |
1 ms |
1100 KB |
Output is correct |
| 31 |
Correct |
5 ms |
4684 KB |
Output is correct |
| 32 |
Correct |
5 ms |
4804 KB |
Output is correct |
| 33 |
Correct |
5 ms |
4684 KB |
Output is correct |
| 34 |
Correct |
6 ms |
4812 KB |
Output is correct |
| 35 |
Correct |
5 ms |
4708 KB |
Output is correct |
| 36 |
Correct |
6 ms |
4812 KB |
Output is correct |
| 37 |
Correct |
5 ms |
4812 KB |
Output is correct |
| 38 |
Correct |
6 ms |
4812 KB |
Output is correct |
| 39 |
Correct |
6 ms |
4812 KB |
Output is correct |
| 40 |
Correct |
6 ms |
4812 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
332 KB |
Output is correct |
| 2 |
Correct |
0 ms |
332 KB |
Output is correct |
| 3 |
Correct |
1 ms |
332 KB |
Output is correct |
| 4 |
Correct |
0 ms |
332 KB |
Output is correct |
| 5 |
Correct |
0 ms |
332 KB |
Output is correct |
| 6 |
Correct |
1 ms |
332 KB |
Output is correct |
| 7 |
Correct |
1 ms |
332 KB |
Output is correct |
| 8 |
Correct |
0 ms |
332 KB |
Output is correct |
| 9 |
Correct |
0 ms |
332 KB |
Output is correct |
| 10 |
Correct |
0 ms |
332 KB |
Output is correct |
| 11 |
Correct |
0 ms |
332 KB |
Output is correct |
| 12 |
Correct |
1 ms |
332 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 |
0 ms |
332 KB |
Output is correct |
| 19 |
Correct |
1 ms |
324 KB |
Output is correct |
| 20 |
Correct |
1 ms |
332 KB |
Output is correct |
| 21 |
Correct |
1 ms |
1100 KB |
Output is correct |
| 22 |
Correct |
1 ms |
1100 KB |
Output is correct |
| 23 |
Correct |
2 ms |
1100 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 |
1228 KB |
Output is correct |
| 29 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 30 |
Correct |
1 ms |
1100 KB |
Output is correct |
| 31 |
Correct |
5 ms |
4684 KB |
Output is correct |
| 32 |
Correct |
5 ms |
4804 KB |
Output is correct |
| 33 |
Correct |
5 ms |
4684 KB |
Output is correct |
| 34 |
Correct |
6 ms |
4812 KB |
Output is correct |
| 35 |
Correct |
5 ms |
4708 KB |
Output is correct |
| 36 |
Correct |
6 ms |
4812 KB |
Output is correct |
| 37 |
Correct |
5 ms |
4812 KB |
Output is correct |
| 38 |
Correct |
6 ms |
4812 KB |
Output is correct |
| 39 |
Correct |
6 ms |
4812 KB |
Output is correct |
| 40 |
Correct |
6 ms |
4812 KB |
Output is correct |
| 41 |
Correct |
341 ms |
67288 KB |
Output is correct |
| 42 |
Correct |
333 ms |
67324 KB |
Output is correct |
| 43 |
Correct |
323 ms |
67336 KB |
Output is correct |
| 44 |
Correct |
349 ms |
67328 KB |
Output is correct |
| 45 |
Correct |
354 ms |
67236 KB |
Output is correct |
| 46 |
Correct |
360 ms |
67380 KB |
Output is correct |
| 47 |
Correct |
365 ms |
67364 KB |
Output is correct |
| 48 |
Correct |
360 ms |
67372 KB |
Output is correct |
| 49 |
Correct |
358 ms |
67364 KB |
Output is correct |
| 50 |
Correct |
370 ms |
67368 KB |
Output is correct |
| 51 |
Correct |
348 ms |
67372 KB |
Output is correct |
| 52 |
Correct |
351 ms |
67332 KB |
Output is correct |
| 53 |
Correct |
362 ms |
67376 KB |
Output is correct |
| 54 |
Correct |
359 ms |
67364 KB |
Output is correct |
| 55 |
Correct |
358 ms |
67388 KB |
Output is correct |
