Submission #685163

# Submission time Handle Problem Language Result Execution time Memory
685163 2023-01-23T15:56:11 Z ethening Group Photo (JOI21_ho_t3) C++17
100 / 100
772 ms 196896 KB
#include "bits/stdc++.h"
#include <vector>
using namespace std;
using ll = long long;

const int INF = 1e9;

int n;
int a[5005];

vector<vector<int>> p1, p2;

void compute_p(vector<vector<int>>& p) {
	for (int i = 1; i <= n; i++) {
		for (int j = 1; j <= n; j++) {
			p[i][j] = p[i][j] + p[i][j - 1] + p[i - 1][j] - p[i - 1][j - 1];
		}
	}
}

int get_p(vector<vector<int>>& p, int l1, int r1, int l2, int r2) {
	return p[r1][r2] - p[l1 - 1][r2] - p[r1][l2 - 1] + p[l1 - 1][l2 - 1];
}

int main() {
	cin.tie(0)->sync_with_stdio(0);
	cin >> n;
	for (int i = 1; i <= n; i++) {
		cin >> a[i];
	}

	p1 = vector<vector<int>>(n + 5, vector<int>(n + 5, 0));
	p2 = vector<vector<int>>(n + 5, vector<int>(n + 5, 0));

	vector<int> dp(n + 5, INF);

	for (int i = 1; i <= n; i++) {
		for (int j = i + 1; j <= n; j++) {
			if (a[i] > a[j]) {
				++p1[a[i]][a[j]];
			}
			else if (a[i] < a[j]) {
				++p2[a[i]][a[j]];
			}
		}
	}

	// for (int i = 1; i <= n; i++) {
	// 	for (int j = 1; j <= n; j++) {
	// 		cout << p1[i][j] << " \n"[j == n];
	// 	}
	// }

	// cout << "\n";
	// for (int i = 1; i <= n; i++) {
	// 	for (int j = 1; j <= n; j++) {
	// 		cout << p2[i][j] << " \n"[j == n];
	// 	}
	// }


	compute_p(p1);
	compute_p(p2);

	// cout << "===\n";
	// for (int i = 1; i <= n; i++) {
	// 	for (int j = 1; j <= n; j++) {
	// 		cout << p1[i][j] << " \n"[j == n];
	// 	}
	// }

	// cout << "\n";
	// for (int i = 1; i <= n; i++) {
	// 	for (int j = 1; j <= n; j++) {
	// 		cout << p2[i][j] << " \n"[j == n];
	// 	}
	// }

	dp[0] = 0;
	for (int i = 1; i <= n; i++) {
		{
			int cost2 = get_p(p2, 1, i, 1, i);
			dp[i] = min(dp[i], cost2);
		}
		for (int j = 1; j < i; j++) {
			int cost1 = get_p(p1, j + 1, i, 1, j);
			int cost2 = get_p(p2, j + 1, i, j + 1, i);
			dp[i] = min(dp[i], cost1 + cost2 + dp[j]);
		}
	}
	cout << dp[n] << "\n";
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 596 KB Output is correct
22 Correct 1 ms 596 KB Output is correct
23 Correct 1 ms 596 KB Output is correct
24 Correct 1 ms 596 KB Output is correct
25 Correct 1 ms 596 KB Output is correct
26 Correct 1 ms 596 KB Output is correct
27 Correct 1 ms 596 KB Output is correct
28 Correct 1 ms 596 KB Output is correct
29 Correct 1 ms 596 KB Output is correct
30 Correct 1 ms 596 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 596 KB Output is correct
22 Correct 1 ms 596 KB Output is correct
23 Correct 1 ms 596 KB Output is correct
24 Correct 1 ms 596 KB Output is correct
25 Correct 1 ms 596 KB Output is correct
26 Correct 1 ms 596 KB Output is correct
27 Correct 1 ms 596 KB Output is correct
28 Correct 1 ms 596 KB Output is correct
29 Correct 1 ms 596 KB Output is correct
30 Correct 1 ms 596 KB Output is correct
31 Correct 10 ms 5332 KB Output is correct
32 Correct 11 ms 5460 KB Output is correct
33 Correct 10 ms 5460 KB Output is correct
34 Correct 10 ms 5460 KB Output is correct
35 Correct 10 ms 5448 KB Output is correct
36 Correct 10 ms 5460 KB Output is correct
37 Correct 10 ms 5448 KB Output is correct
38 Correct 10 ms 5460 KB Output is correct
39 Correct 10 ms 5460 KB Output is correct
40 Correct 10 ms 5460 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 596 KB Output is correct
22 Correct 1 ms 596 KB Output is correct
23 Correct 1 ms 596 KB Output is correct
24 Correct 1 ms 596 KB Output is correct
25 Correct 1 ms 596 KB Output is correct
26 Correct 1 ms 596 KB Output is correct
27 Correct 1 ms 596 KB Output is correct
28 Correct 1 ms 596 KB Output is correct
29 Correct 1 ms 596 KB Output is correct
30 Correct 1 ms 596 KB Output is correct
31 Correct 10 ms 5332 KB Output is correct
32 Correct 11 ms 5460 KB Output is correct
33 Correct 10 ms 5460 KB Output is correct
34 Correct 10 ms 5460 KB Output is correct
35 Correct 10 ms 5448 KB Output is correct
36 Correct 10 ms 5460 KB Output is correct
37 Correct 10 ms 5448 KB Output is correct
38 Correct 10 ms 5460 KB Output is correct
39 Correct 10 ms 5460 KB Output is correct
40 Correct 10 ms 5460 KB Output is correct
41 Correct 638 ms 196580 KB Output is correct
42 Correct 646 ms 196740 KB Output is correct
43 Correct 654 ms 196812 KB Output is correct
44 Correct 680 ms 196684 KB Output is correct
45 Correct 700 ms 196768 KB Output is correct
46 Correct 654 ms 196832 KB Output is correct
47 Correct 654 ms 196868 KB Output is correct
48 Correct 686 ms 196804 KB Output is correct
49 Correct 733 ms 196804 KB Output is correct
50 Correct 738 ms 196804 KB Output is correct
51 Correct 726 ms 196808 KB Output is correct
52 Correct 743 ms 196684 KB Output is correct
53 Correct 772 ms 196808 KB Output is correct
54 Correct 696 ms 196896 KB Output is correct
55 Correct 732 ms 196804 KB Output is correct