#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const int MAXN = 5007;
const ll INF = 1e18 + 7;
const int logo = 20;
const int off = 1 << logo;
ll inv[MAXN][MAXN], dp[MAXN], c[MAXN][MAXN];
//lesrig[y][x] - koliko brojeva je manje od y nadesno a oni su >= x
int lesrig[MAXN][MAXN], p[MAXN], a[MAXN], arr[MAXN];
ll vl(ll x){
return (ll)x * (x - 1) / (ll)2;
}
void solve(){
int n;
cin >> n;
for(int i=1; i<=n; i++) cin >> arr[i];
for(int L=1; L<=n; L++){
int cp = 1;
for(int i=1; i<=n; i++) if(arr[i] >= L){
a[cp] = arr[i];
p[arr[i]] = cp++;
}
ll su1 = 0, su0 = 0;
int id = 1;
for(int R=L; R<=n; R++, id++){
int cur = a[id];
if(cur < R) su1 -= p[cur];
else if(cur > R) su0 += p[cur];
if(cur != R){
if(p[R] <= id) su0 -= p[R];
else su1 += p[R];
}
c[L][R] = su1 - su0;
}
}
for(int i=0; i<=n; i++) p[i] = 0;
for(int pos=n; pos; pos--){
int cur = arr[pos];
for(int x=1; x<=n; x++) lesrig[cur][x] = p[cur - 1] - p[x - 1];
for(int i=cur; i<=n; i++) p[i]++;
}
for(int R=1; R<=n; R++){
for(int L=1; L<R; L++){
inv[L][R] = inv[L][R - 1] + lesrig[R][L];
}
}
dp[0] = 0;
for(int i=1; i<=n; i++) dp[i] = INF;
for(int R=1; R<=n; R++){
for(int L=0; L<R; L++){
int len = R - L;
dp[R] = min(dp[R], dp[L] + vl(len) - inv[L + 1][R] + c[L + 1][R]);
}
}
cout << dp[n] << "\n";
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
int tt = 1;
//cin >> tt;
while(tt--) solve();
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 2 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 3 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 4 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 5 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 6 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 7 |
Correct |
2 ms |
4444 KB |
Output is correct |
| 8 |
Correct |
2 ms |
4444 KB |
Output is correct |
| 9 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 10 |
Correct |
1 ms |
4444 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 2 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 3 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 4 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 5 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 6 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 7 |
Correct |
2 ms |
4444 KB |
Output is correct |
| 8 |
Correct |
2 ms |
4444 KB |
Output is correct |
| 9 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 10 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 11 |
Correct |
1 ms |
6492 KB |
Output is correct |
| 12 |
Correct |
1 ms |
6492 KB |
Output is correct |
| 13 |
Correct |
2 ms |
6492 KB |
Output is correct |
| 14 |
Correct |
1 ms |
6492 KB |
Output is correct |
| 15 |
Correct |
2 ms |
6492 KB |
Output is correct |
| 16 |
Correct |
1 ms |
6492 KB |
Output is correct |
| 17 |
Correct |
1 ms |
6492 KB |
Output is correct |
| 18 |
Correct |
1 ms |
6492 KB |
Output is correct |
| 19 |
Correct |
1 ms |
6492 KB |
Output is correct |
| 20 |
Correct |
1 ms |
6492 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 2 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 3 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 4 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 5 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 6 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 7 |
Correct |
2 ms |
4444 KB |
Output is correct |
| 8 |
Correct |
2 ms |
4444 KB |
Output is correct |
| 9 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 10 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 11 |
Correct |
1 ms |
6492 KB |
Output is correct |
| 12 |
Correct |
1 ms |
6492 KB |
Output is correct |
| 13 |
Correct |
2 ms |
6492 KB |
Output is correct |
| 14 |
Correct |
1 ms |
6492 KB |
Output is correct |
| 15 |
Correct |
2 ms |
6492 KB |
Output is correct |
| 16 |
Correct |
1 ms |
6492 KB |
Output is correct |
| 17 |
Correct |
1 ms |
6492 KB |
Output is correct |
| 18 |
Correct |
1 ms |
6492 KB |
Output is correct |
| 19 |
Correct |
1 ms |
6492 KB |
Output is correct |
| 20 |
Correct |
1 ms |
6492 KB |
Output is correct |
| 21 |
Correct |
3 ms |
15708 KB |
Output is correct |
| 22 |
Correct |
3 ms |
15824 KB |
Output is correct |
| 23 |
Correct |
3 ms |
15708 KB |
Output is correct |
| 24 |
Correct |
3 ms |
15708 KB |
Output is correct |
| 25 |
Correct |
3 ms |
15824 KB |
Output is correct |
| 26 |
Correct |
4 ms |
15708 KB |
Output is correct |
| 27 |
Correct |
3 ms |
15708 KB |
Output is correct |
| 28 |
Correct |
3 ms |
15708 KB |
Output is correct |
| 29 |
Correct |
3 ms |
15708 KB |
Output is correct |
| 30 |
Correct |
3 ms |
15708 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 2 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 3 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 4 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 5 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 6 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 7 |
Correct |
2 ms |
4444 KB |
Output is correct |
| 8 |
Correct |
2 ms |
4444 KB |
Output is correct |
| 9 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 10 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 11 |
Correct |
1 ms |
6492 KB |
Output is correct |
| 12 |
Correct |
1 ms |
6492 KB |
Output is correct |
| 13 |
Correct |
2 ms |
6492 KB |
Output is correct |
| 14 |
Correct |
1 ms |
6492 KB |
Output is correct |
| 15 |
Correct |
2 ms |
6492 KB |
Output is correct |
| 16 |
Correct |
1 ms |
6492 KB |
Output is correct |
| 17 |
Correct |
1 ms |
6492 KB |
Output is correct |
| 18 |
Correct |
1 ms |
6492 KB |
Output is correct |
| 19 |
Correct |
1 ms |
6492 KB |
Output is correct |
| 20 |
Correct |
1 ms |
6492 KB |
Output is correct |
| 21 |
Correct |
3 ms |
15708 KB |
Output is correct |
| 22 |
Correct |
3 ms |
15824 KB |
Output is correct |
| 23 |
Correct |
3 ms |
15708 KB |
Output is correct |
| 24 |
Correct |
3 ms |
15708 KB |
Output is correct |
| 25 |
Correct |
3 ms |
15824 KB |
Output is correct |
| 26 |
Correct |
4 ms |
15708 KB |
Output is correct |
| 27 |
Correct |
3 ms |
15708 KB |
Output is correct |
| 28 |
Correct |
3 ms |
15708 KB |
Output is correct |
| 29 |
Correct |
3 ms |
15708 KB |
Output is correct |
| 30 |
Correct |
3 ms |
15708 KB |
Output is correct |
| 31 |
Correct |
20 ms |
57436 KB |
Output is correct |
| 32 |
Correct |
16 ms |
57436 KB |
Output is correct |
| 33 |
Correct |
13 ms |
57436 KB |
Output is correct |
| 34 |
Correct |
14 ms |
57436 KB |
Output is correct |
| 35 |
Correct |
13 ms |
57436 KB |
Output is correct |
| 36 |
Correct |
14 ms |
57436 KB |
Output is correct |
| 37 |
Correct |
13 ms |
57436 KB |
Output is correct |
| 38 |
Correct |
14 ms |
57436 KB |
Output is correct |
| 39 |
Correct |
13 ms |
57600 KB |
Output is correct |
| 40 |
Correct |
13 ms |
57436 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 2 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 3 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 4 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 5 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 6 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 7 |
Correct |
2 ms |
4444 KB |
Output is correct |
| 8 |
Correct |
2 ms |
4444 KB |
Output is correct |
| 9 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 10 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 11 |
Correct |
1 ms |
6492 KB |
Output is correct |
| 12 |
Correct |
1 ms |
6492 KB |
Output is correct |
| 13 |
Correct |
2 ms |
6492 KB |
Output is correct |
| 14 |
Correct |
1 ms |
6492 KB |
Output is correct |
| 15 |
Correct |
2 ms |
6492 KB |
Output is correct |
| 16 |
Correct |
1 ms |
6492 KB |
Output is correct |
| 17 |
Correct |
1 ms |
6492 KB |
Output is correct |
| 18 |
Correct |
1 ms |
6492 KB |
Output is correct |
| 19 |
Correct |
1 ms |
6492 KB |
Output is correct |
| 20 |
Correct |
1 ms |
6492 KB |
Output is correct |
| 21 |
Correct |
3 ms |
15708 KB |
Output is correct |
| 22 |
Correct |
3 ms |
15824 KB |
Output is correct |
| 23 |
Correct |
3 ms |
15708 KB |
Output is correct |
| 24 |
Correct |
3 ms |
15708 KB |
Output is correct |
| 25 |
Correct |
3 ms |
15824 KB |
Output is correct |
| 26 |
Correct |
4 ms |
15708 KB |
Output is correct |
| 27 |
Correct |
3 ms |
15708 KB |
Output is correct |
| 28 |
Correct |
3 ms |
15708 KB |
Output is correct |
| 29 |
Correct |
3 ms |
15708 KB |
Output is correct |
| 30 |
Correct |
3 ms |
15708 KB |
Output is correct |
| 31 |
Correct |
20 ms |
57436 KB |
Output is correct |
| 32 |
Correct |
16 ms |
57436 KB |
Output is correct |
| 33 |
Correct |
13 ms |
57436 KB |
Output is correct |
| 34 |
Correct |
14 ms |
57436 KB |
Output is correct |
| 35 |
Correct |
13 ms |
57436 KB |
Output is correct |
| 36 |
Correct |
14 ms |
57436 KB |
Output is correct |
| 37 |
Correct |
13 ms |
57436 KB |
Output is correct |
| 38 |
Correct |
14 ms |
57436 KB |
Output is correct |
| 39 |
Correct |
13 ms |
57600 KB |
Output is correct |
| 40 |
Correct |
13 ms |
57436 KB |
Output is correct |
| 41 |
Correct |
505 ms |
349112 KB |
Output is correct |
| 42 |
Correct |
473 ms |
349608 KB |
Output is correct |
| 43 |
Correct |
470 ms |
349436 KB |
Output is correct |
| 44 |
Correct |
486 ms |
349436 KB |
Output is correct |
| 45 |
Correct |
468 ms |
349520 KB |
Output is correct |
| 46 |
Correct |
467 ms |
349504 KB |
Output is correct |
| 47 |
Correct |
476 ms |
349488 KB |
Output is correct |
| 48 |
Correct |
482 ms |
348592 KB |
Output is correct |
| 49 |
Correct |
469 ms |
347848 KB |
Output is correct |
| 50 |
Correct |
463 ms |
348664 KB |
Output is correct |
| 51 |
Correct |
473 ms |
347728 KB |
Output is correct |
| 52 |
Correct |
481 ms |
348680 KB |
Output is correct |
| 53 |
Correct |
473 ms |
347872 KB |
Output is correct |
| 54 |
Correct |
500 ms |
347692 KB |
Output is correct |
| 55 |
Correct |
473 ms |
348924 KB |
Output is correct |
