Submission #531566

# Submission time Handle Problem Language Result Execution time Memory
531566 2022-03-01T04:16:32 Z amunduzbaev Group Photo (JOI21_ho_t3) C++17
100 / 100
817 ms 509340 KB
#include "bits/stdc++.h"
using namespace std;

#define ar array
#define int long long

const int N = 5005;
int dp[N], a[N], pos[N];
int inv[N][N], is[N][N];
int pref[N][N];

signed main(){
	ios::sync_with_stdio(0); cin.tie(0);
	
	int n; cin>>n;
	for(int i=0;i<n;i++) cin>>a[i], a[i]--, pos[a[i]] = i;
	for(int i=0;i<n;i++){
		for(int j=0;j<n;j++){
			is[i][j] = (pos[i] < pos[j]);
			if(i && j) pref[i][j] = pref[i-1][j] + pref[i][j-1] - pref[i-1][j-1];
			else if(i) pref[i][j] = pref[i-1][j];
			else if(j) pref[i][j] = pref[i][j-1];
			pref[i][j] += is[i][j];
		}
	}
	
	auto get = [&](int i, int x, int j, int y){
		if(i < x) swap(i, x);
		if(j < y) swap(j, y);
		return pref[i][j] - (y ? pref[i][y-1] : 0) - (x ? pref[x-1][j] : 0) + (x && y ? pref[x-1][y-1] : 0);
	};
	
	for(int i=0;i<n;i++){
		for(int j=i+1;j<n;j++){
			inv[i][j] = inv[i][j-1] + get(i, j - 1, j, j);
		}
	}
	
	//~ for(int i=0;i<n;i++){
		//~ for(int j=i;j<n;j++) cout<<inv[i][j]<<" ";
		//~ cout<<"\n";
	//~ }
	
	for(int i=n-1;~i;i--){
		dp[i] = 1e9;
		for(int j=1;i+j<=n;j++){
			dp[i] = min(dp[i], dp[i+j] + inv[i][i+j-1] + (i ? get(i, i+j-1, 0, i - 1) : 0));
		}
	}
	
	//~ for(int i=0;i<n;i++) cout<<dp[i]<<" ";
	//~ cout<<"\n";
	
	cout<<dp[0]<<"\n";
}

Compilation message

Main.cpp: In function 'int main()':
Main.cpp:30:39: warning: array subscript -2 is below array bounds of 'long long int [5005]' [-Warray-bounds]
   30 |   return pref[i][j] - (y ? pref[i][y-1] : 0) - (x ? pref[x-1][j] : 0) + (x && y ? pref[x-1][y-1] : 0);
      |                            ~~~~~~~~~~~^
Main.cpp:30:96: warning: array subscript -2 is below array bounds of 'long long int [5005]' [-Warray-bounds]
   30 |   return pref[i][j] - (y ? pref[i][y-1] : 0) - (x ? pref[x-1][j] : 0) + (x && y ? pref[x-1][y-1] : 0);
      |                                                                                   ~~~~~~~~~~~~~^
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 320 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 324 KB Output is correct
8 Correct 0 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 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 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 320 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 324 KB Output is correct
8 Correct 0 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 452 KB Output is correct
12 Correct 1 ms 460 KB Output is correct
13 Correct 1 ms 460 KB Output is correct
14 Correct 1 ms 460 KB Output is correct
15 Correct 1 ms 572 KB Output is correct
16 Correct 1 ms 460 KB Output is correct
17 Correct 1 ms 460 KB Output is correct
18 Correct 1 ms 460 KB Output is correct
19 Correct 1 ms 460 KB Output is correct
20 Correct 1 ms 576 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 320 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 324 KB Output is correct
8 Correct 0 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 452 KB Output is correct
12 Correct 1 ms 460 KB Output is correct
13 Correct 1 ms 460 KB Output is correct
14 Correct 1 ms 460 KB Output is correct
15 Correct 1 ms 572 KB Output is correct
16 Correct 1 ms 460 KB Output is correct
17 Correct 1 ms 460 KB Output is correct
18 Correct 1 ms 460 KB Output is correct
19 Correct 1 ms 460 KB Output is correct
20 Correct 1 ms 576 KB Output is correct
21 Correct 2 ms 3404 KB Output is correct
22 Correct 2 ms 3516 KB Output is correct
23 Correct 2 ms 3520 KB Output is correct
24 Correct 2 ms 3524 KB Output is correct
25 Correct 2 ms 3512 KB Output is correct
26 Correct 2 ms 3532 KB Output is correct
27 Correct 2 ms 3532 KB Output is correct
28 Correct 2 ms 3532 KB Output is correct
29 Correct 2 ms 3532 KB Output is correct
30 Correct 2 ms 3532 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 320 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 324 KB Output is correct
8 Correct 0 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 452 KB Output is correct
12 Correct 1 ms 460 KB Output is correct
13 Correct 1 ms 460 KB Output is correct
14 Correct 1 ms 460 KB Output is correct
15 Correct 1 ms 572 KB Output is correct
16 Correct 1 ms 460 KB Output is correct
17 Correct 1 ms 460 KB Output is correct
18 Correct 1 ms 460 KB Output is correct
19 Correct 1 ms 460 KB Output is correct
20 Correct 1 ms 576 KB Output is correct
21 Correct 2 ms 3404 KB Output is correct
22 Correct 2 ms 3516 KB Output is correct
23 Correct 2 ms 3520 KB Output is correct
24 Correct 2 ms 3524 KB Output is correct
25 Correct 2 ms 3512 KB Output is correct
26 Correct 2 ms 3532 KB Output is correct
27 Correct 2 ms 3532 KB Output is correct
28 Correct 2 ms 3532 KB Output is correct
29 Correct 2 ms 3532 KB Output is correct
30 Correct 2 ms 3532 KB Output is correct
31 Correct 16 ms 22460 KB Output is correct
32 Correct 15 ms 22552 KB Output is correct
33 Correct 15 ms 22464 KB Output is correct
34 Correct 15 ms 22604 KB Output is correct
35 Correct 16 ms 22604 KB Output is correct
36 Correct 15 ms 22512 KB Output is correct
37 Correct 15 ms 22604 KB Output is correct
38 Correct 15 ms 22576 KB Output is correct
39 Correct 15 ms 22604 KB Output is correct
40 Correct 15 ms 22592 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 320 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 324 KB Output is correct
8 Correct 0 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 452 KB Output is correct
12 Correct 1 ms 460 KB Output is correct
13 Correct 1 ms 460 KB Output is correct
14 Correct 1 ms 460 KB Output is correct
15 Correct 1 ms 572 KB Output is correct
16 Correct 1 ms 460 KB Output is correct
17 Correct 1 ms 460 KB Output is correct
18 Correct 1 ms 460 KB Output is correct
19 Correct 1 ms 460 KB Output is correct
20 Correct 1 ms 576 KB Output is correct
21 Correct 2 ms 3404 KB Output is correct
22 Correct 2 ms 3516 KB Output is correct
23 Correct 2 ms 3520 KB Output is correct
24 Correct 2 ms 3524 KB Output is correct
25 Correct 2 ms 3512 KB Output is correct
26 Correct 2 ms 3532 KB Output is correct
27 Correct 2 ms 3532 KB Output is correct
28 Correct 2 ms 3532 KB Output is correct
29 Correct 2 ms 3532 KB Output is correct
30 Correct 2 ms 3532 KB Output is correct
31 Correct 16 ms 22460 KB Output is correct
32 Correct 15 ms 22552 KB Output is correct
33 Correct 15 ms 22464 KB Output is correct
34 Correct 15 ms 22604 KB Output is correct
35 Correct 16 ms 22604 KB Output is correct
36 Correct 15 ms 22512 KB Output is correct
37 Correct 15 ms 22604 KB Output is correct
38 Correct 15 ms 22576 KB Output is correct
39 Correct 15 ms 22604 KB Output is correct
40 Correct 15 ms 22592 KB Output is correct
41 Correct 662 ms 508856 KB Output is correct
42 Correct 661 ms 508972 KB Output is correct
43 Correct 666 ms 509080 KB Output is correct
44 Correct 636 ms 509008 KB Output is correct
45 Correct 643 ms 509100 KB Output is correct
46 Correct 664 ms 509248 KB Output is correct
47 Correct 708 ms 509340 KB Output is correct
48 Correct 741 ms 509156 KB Output is correct
49 Correct 769 ms 509152 KB Output is correct
50 Correct 800 ms 509124 KB Output is correct
51 Correct 781 ms 509208 KB Output is correct
52 Correct 771 ms 509160 KB Output is correct
53 Correct 752 ms 509212 KB Output is correct
54 Correct 817 ms 509096 KB Output is correct
55 Correct 729 ms 509140 KB Output is correct