#include <bits/stdc++.h>
using namespace std;
#define int long long
#define double long double
#define FOR(i, l, r, d) for(int i=(l); i<=(r); i+=(d))
#define szof(x) ((int)(x).size())
#define vi vector<int>
#define pii pair<int, int>
#define F first
#define S second
#define pb push_back
#define eb emplace_back
#define mkp make_pair
const int INF = INT_MAX;
const int LNF = INF*INF;
const int MOD = 1000000007;
//#pragma GCC optimize("Ofast")
//#pragma GCC optimize("unroll-loops")
const int MAX = 5010;
int n;
int arr[MAX][MAX]; // arr[i] = arr. after sorting [1, i]
int pos[MAX][MAX];
int cost[MAX][MAX]; // cost[i][j] = cost to sort [i, j]
int dp[MAX];
int res;
inline int sum(int l, int r){
return (l + r) * (r - l + 1) / 2;
}
#define lsb(x) ((x)&(-(x)))
int BIT[MAX];
void modify(int pos, int val){
while(pos < MAX){
BIT[pos] += val;
pos += lsb(pos);
}
}
int query(int pos){
int ret = 0;
while(pos > 0){
ret += BIT[pos];
pos -= lsb(pos);
}
return ret;
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
cin>>n;
FOR(i, 1, n, 1){
cin>>arr[0][i];
}
FOR(i, 1, n, 1){
int ptr;
FOR(j, 1, n, 1){
arr[i][j] = arr[i-1][j];
if(arr[i][j] == i) ptr = j;
}
while(ptr > i){
swap(arr[i][ptr-1], arr[i][ptr]);
ptr--;
}
}
FOR(i, 0, n, 1){
FOR(j, 1, n, 1){
pos[i][ arr[i][j] ] = j;
}
}
FOR(l, 1, n, 1){
int dpos = 0;
int inv = 0;
FOR(r, l, n, 1){
// cost[l, r]
dpos += pos[l-1][r] - r;
inv += query(pos[l-1][r] - 1);
modify(pos[l-1][r], 1);
cost[l][r] = dpos + inv;
}
FOR(r, l, n, 1){
modify(pos[l-1][r], -1);
}
}
FOR(r, 1, n, 1){
dp[r] = LNF;
FOR(l, 1, r, 1){
dp[r] = min(dp[r], dp[l-1] + cost[l][r]);
}
}
cout<<dp[n]<<'\n';
/*
FOR(l, 1, n, 1){
cerr<<"cost["<<l<<"] : ";
FOR(r, 1, n, 1){
cerr<<cost[l][r]<<" ";
}
cerr<<endl;
}
cerr<<endl;
*/
return 0;
}
Compilation message
Main.cpp: In function 'int main()':
Main.cpp:73:7: warning: 'ptr' may be used uninitialized in this function [-Wmaybe-uninitialized]
73 | int ptr;
| ^~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
468 KB |
Output is correct |
7 |
Correct |
1 ms |
468 KB |
Output is correct |
8 |
Correct |
1 ms |
468 KB |
Output is correct |
9 |
Correct |
1 ms |
468 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
468 KB |
Output is correct |
7 |
Correct |
1 ms |
468 KB |
Output is correct |
8 |
Correct |
1 ms |
468 KB |
Output is correct |
9 |
Correct |
1 ms |
468 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
1 ms |
596 KB |
Output is correct |
12 |
Correct |
0 ms |
596 KB |
Output is correct |
13 |
Correct |
1 ms |
596 KB |
Output is correct |
14 |
Correct |
1 ms |
596 KB |
Output is correct |
15 |
Correct |
1 ms |
588 KB |
Output is correct |
16 |
Correct |
1 ms |
596 KB |
Output is correct |
17 |
Correct |
1 ms |
596 KB |
Output is correct |
18 |
Correct |
1 ms |
596 KB |
Output is correct |
19 |
Correct |
1 ms |
596 KB |
Output is correct |
20 |
Correct |
1 ms |
624 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
468 KB |
Output is correct |
7 |
Correct |
1 ms |
468 KB |
Output is correct |
8 |
Correct |
1 ms |
468 KB |
Output is correct |
9 |
Correct |
1 ms |
468 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
1 ms |
596 KB |
Output is correct |
12 |
Correct |
0 ms |
596 KB |
Output is correct |
13 |
Correct |
1 ms |
596 KB |
Output is correct |
14 |
Correct |
1 ms |
596 KB |
Output is correct |
15 |
Correct |
1 ms |
588 KB |
Output is correct |
16 |
Correct |
1 ms |
596 KB |
Output is correct |
17 |
Correct |
1 ms |
596 KB |
Output is correct |
18 |
Correct |
1 ms |
596 KB |
Output is correct |
19 |
Correct |
1 ms |
596 KB |
Output is correct |
20 |
Correct |
1 ms |
624 KB |
Output is correct |
21 |
Correct |
4 ms |
3540 KB |
Output is correct |
22 |
Correct |
3 ms |
3540 KB |
Output is correct |
23 |
Correct |
3 ms |
3592 KB |
Output is correct |
24 |
Correct |
3 ms |
3540 KB |
Output is correct |
25 |
Correct |
3 ms |
3540 KB |
Output is correct |
26 |
Correct |
3 ms |
3540 KB |
Output is correct |
27 |
Correct |
3 ms |
3532 KB |
Output is correct |
28 |
Correct |
3 ms |
3540 KB |
Output is correct |
29 |
Correct |
3 ms |
3540 KB |
Output is correct |
30 |
Correct |
3 ms |
3524 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
468 KB |
Output is correct |
7 |
Correct |
1 ms |
468 KB |
Output is correct |
8 |
Correct |
1 ms |
468 KB |
Output is correct |
9 |
Correct |
1 ms |
468 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
1 ms |
596 KB |
Output is correct |
12 |
Correct |
0 ms |
596 KB |
Output is correct |
13 |
Correct |
1 ms |
596 KB |
Output is correct |
14 |
Correct |
1 ms |
596 KB |
Output is correct |
15 |
Correct |
1 ms |
588 KB |
Output is correct |
16 |
Correct |
1 ms |
596 KB |
Output is correct |
17 |
Correct |
1 ms |
596 KB |
Output is correct |
18 |
Correct |
1 ms |
596 KB |
Output is correct |
19 |
Correct |
1 ms |
596 KB |
Output is correct |
20 |
Correct |
1 ms |
624 KB |
Output is correct |
21 |
Correct |
4 ms |
3540 KB |
Output is correct |
22 |
Correct |
3 ms |
3540 KB |
Output is correct |
23 |
Correct |
3 ms |
3592 KB |
Output is correct |
24 |
Correct |
3 ms |
3540 KB |
Output is correct |
25 |
Correct |
3 ms |
3540 KB |
Output is correct |
26 |
Correct |
3 ms |
3540 KB |
Output is correct |
27 |
Correct |
3 ms |
3532 KB |
Output is correct |
28 |
Correct |
3 ms |
3540 KB |
Output is correct |
29 |
Correct |
3 ms |
3540 KB |
Output is correct |
30 |
Correct |
3 ms |
3524 KB |
Output is correct |
31 |
Correct |
26 ms |
22480 KB |
Output is correct |
32 |
Correct |
25 ms |
22560 KB |
Output is correct |
33 |
Correct |
28 ms |
22584 KB |
Output is correct |
34 |
Correct |
28 ms |
22604 KB |
Output is correct |
35 |
Correct |
24 ms |
22588 KB |
Output is correct |
36 |
Correct |
24 ms |
22640 KB |
Output is correct |
37 |
Correct |
26 ms |
22736 KB |
Output is correct |
38 |
Correct |
25 ms |
22596 KB |
Output is correct |
39 |
Correct |
26 ms |
22540 KB |
Output is correct |
40 |
Correct |
29 ms |
22648 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
468 KB |
Output is correct |
7 |
Correct |
1 ms |
468 KB |
Output is correct |
8 |
Correct |
1 ms |
468 KB |
Output is correct |
9 |
Correct |
1 ms |
468 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
1 ms |
596 KB |
Output is correct |
12 |
Correct |
0 ms |
596 KB |
Output is correct |
13 |
Correct |
1 ms |
596 KB |
Output is correct |
14 |
Correct |
1 ms |
596 KB |
Output is correct |
15 |
Correct |
1 ms |
588 KB |
Output is correct |
16 |
Correct |
1 ms |
596 KB |
Output is correct |
17 |
Correct |
1 ms |
596 KB |
Output is correct |
18 |
Correct |
1 ms |
596 KB |
Output is correct |
19 |
Correct |
1 ms |
596 KB |
Output is correct |
20 |
Correct |
1 ms |
624 KB |
Output is correct |
21 |
Correct |
4 ms |
3540 KB |
Output is correct |
22 |
Correct |
3 ms |
3540 KB |
Output is correct |
23 |
Correct |
3 ms |
3592 KB |
Output is correct |
24 |
Correct |
3 ms |
3540 KB |
Output is correct |
25 |
Correct |
3 ms |
3540 KB |
Output is correct |
26 |
Correct |
3 ms |
3540 KB |
Output is correct |
27 |
Correct |
3 ms |
3532 KB |
Output is correct |
28 |
Correct |
3 ms |
3540 KB |
Output is correct |
29 |
Correct |
3 ms |
3540 KB |
Output is correct |
30 |
Correct |
3 ms |
3524 KB |
Output is correct |
31 |
Correct |
26 ms |
22480 KB |
Output is correct |
32 |
Correct |
25 ms |
22560 KB |
Output is correct |
33 |
Correct |
28 ms |
22584 KB |
Output is correct |
34 |
Correct |
28 ms |
22604 KB |
Output is correct |
35 |
Correct |
24 ms |
22588 KB |
Output is correct |
36 |
Correct |
24 ms |
22640 KB |
Output is correct |
37 |
Correct |
26 ms |
22736 KB |
Output is correct |
38 |
Correct |
25 ms |
22596 KB |
Output is correct |
39 |
Correct |
26 ms |
22540 KB |
Output is correct |
40 |
Correct |
29 ms |
22648 KB |
Output is correct |
41 |
Correct |
999 ms |
509260 KB |
Output is correct |
42 |
Correct |
911 ms |
509496 KB |
Output is correct |
43 |
Correct |
894 ms |
509704 KB |
Output is correct |
44 |
Correct |
906 ms |
509720 KB |
Output is correct |
45 |
Correct |
879 ms |
509632 KB |
Output is correct |
46 |
Correct |
920 ms |
509716 KB |
Output is correct |
47 |
Correct |
881 ms |
509776 KB |
Output is correct |
48 |
Correct |
921 ms |
509808 KB |
Output is correct |
49 |
Correct |
911 ms |
509616 KB |
Output is correct |
50 |
Correct |
876 ms |
509704 KB |
Output is correct |
51 |
Correct |
910 ms |
509636 KB |
Output is correct |
52 |
Correct |
883 ms |
509728 KB |
Output is correct |
53 |
Correct |
888 ms |
509716 KB |
Output is correct |
54 |
Correct |
900 ms |
509744 KB |
Output is correct |
55 |
Correct |
937 ms |
509732 KB |
Output is correct |