Submission #371233

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
371233	2021-02-26T08:43:12 Z	cheissmart	Group Photo (JOI21_ho_t3)	C++14	100 / 100	971 ms	67840 KB

Main

#include <bits/stdc++.h>
#define IO_OP std::ios::sync_with_stdio(0); std::cin.tie(0);
#define F first
#define S second
#define V vector
#define PB push_back
#define MP make_pair
#define EB emplace_back
#define ALL(v) (v).begin(), (v).end()
#define debug(x) cerr << "Line(" << __LINE__ << ") -> " << #x << " is " << x << endl

using namespace std;

typedef long long ll;
typedef pair<int, int> pi;
typedef V<int> vi;

const int INF = 1e9 + 7, N = 5005;

int a[N], p[N], dp[N], cost[N][N];

struct BIT {
	int bit[N];
	BIT() {
		memset(bit, 0, sizeof bit);
	}
	void add(int pos, int val) {
		for(; pos < N; pos += pos & -pos)
			bit[pos] += val;
	}
	int qry(int pos) {
		int res = 0;
		for(; pos; pos -= pos & -pos)
			res += bit[pos];
		return res;
	}
} b;

signed main()
{
	IO_OP;

	int n;
	cin >> n;
	for(int i = 1; i <= n; i++) {
		cin >> a[i];
		p[a[i]] = i;
	}

	for(int r = 1; r <= n; r++) {
		vi psum(n + 1);
		for(int i = 1; i <= r; i++) psum[p[i]]++;
		for(int i = 1; i <= n; i++) psum[i] += psum[i - 1];
		int ans = 0;
		for(int l = r; l >= 1; l--) {
			ans += psum[n] - psum[p[l]];
			ans -= b.qry(p[l]);
			cost[l][r] = ans;
			b.add(p[l], 1);
		}
		for(int l = r; l >= 1; l--) b.add(p[l], -1);
	}

	dp[0] = 0;
	for(int i = 1; i <= n; i++) {
		dp[i] = INF;
		for(int j = 1; j <= i; j++) {
			dp[i] = min(dp[i], dp[j - 1] + cost[j][i]);
		}
	}
	cout << dp[n] << endl;

}

Subtask #1

5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	364 KB	Output is correct
2	Correct	1 ms	364 KB	Output is correct
3	Correct	1 ms	364 KB	Output is correct
4	Correct	1 ms	364 KB	Output is correct
5	Correct	1 ms	384 KB	Output is correct
6	Correct	1 ms	364 KB	Output is correct
7	Correct	1 ms	364 KB	Output is correct
8	Correct	1 ms	364 KB	Output is correct
9	Correct	1 ms	364 KB	Output is correct
10	Correct	1 ms	364 KB	Output is correct

Subtask #2

7.0 / 7.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	364 KB	Output is correct
2	Correct	1 ms	364 KB	Output is correct
3	Correct	1 ms	364 KB	Output is correct
4	Correct	1 ms	364 KB	Output is correct
5	Correct	1 ms	384 KB	Output is correct
6	Correct	1 ms	364 KB	Output is correct
7	Correct	1 ms	364 KB	Output is correct
8	Correct	1 ms	364 KB	Output is correct
9	Correct	1 ms	364 KB	Output is correct
10	Correct	1 ms	364 KB	Output is correct
11	Correct	1 ms	492 KB	Output is correct
12	Correct	1 ms	492 KB	Output is correct
13	Correct	1 ms	492 KB	Output is correct
14	Correct	1 ms	492 KB	Output is correct
15	Correct	1 ms	492 KB	Output is correct
16	Correct	1 ms	492 KB	Output is correct
17	Correct	1 ms	492 KB	Output is correct
18	Correct	1 ms	492 KB	Output is correct
19	Correct	1 ms	492 KB	Output is correct
20	Correct	1 ms	492 KB	Output is correct

Subtask #3

32.0 / 32.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	364 KB	Output is correct
2	Correct	1 ms	364 KB	Output is correct
3	Correct	1 ms	364 KB	Output is correct
4	Correct	1 ms	364 KB	Output is correct
5	Correct	1 ms	384 KB	Output is correct
6	Correct	1 ms	364 KB	Output is correct
7	Correct	1 ms	364 KB	Output is correct
8	Correct	1 ms	364 KB	Output is correct
9	Correct	1 ms	364 KB	Output is correct
10	Correct	1 ms	364 KB	Output is correct
11	Correct	1 ms	492 KB	Output is correct
12	Correct	1 ms	492 KB	Output is correct
13	Correct	1 ms	492 KB	Output is correct
14	Correct	1 ms	492 KB	Output is correct
15	Correct	1 ms	492 KB	Output is correct
16	Correct	1 ms	492 KB	Output is correct
17	Correct	1 ms	492 KB	Output is correct
18	Correct	1 ms	492 KB	Output is correct
19	Correct	1 ms	492 KB	Output is correct
20	Correct	1 ms	492 KB	Output is correct
21	Correct	2 ms	1260 KB	Output is correct
22	Correct	2 ms	1260 KB	Output is correct
23	Correct	2 ms	1260 KB	Output is correct
24	Correct	3 ms	1280 KB	Output is correct
25	Correct	2 ms	1260 KB	Output is correct
26	Correct	3 ms	1260 KB	Output is correct
27	Correct	2 ms	1280 KB	Output is correct
28	Correct	6 ms	1400 KB	Output is correct
29	Correct	2 ms	1260 KB	Output is correct
30	Correct	2 ms	1260 KB	Output is correct

Subtask #4

20.0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	364 KB	Output is correct
2	Correct	1 ms	364 KB	Output is correct
3	Correct	1 ms	364 KB	Output is correct
4	Correct	1 ms	364 KB	Output is correct
5	Correct	1 ms	384 KB	Output is correct
6	Correct	1 ms	364 KB	Output is correct
7	Correct	1 ms	364 KB	Output is correct
8	Correct	1 ms	364 KB	Output is correct
9	Correct	1 ms	364 KB	Output is correct
10	Correct	1 ms	364 KB	Output is correct
11	Correct	1 ms	492 KB	Output is correct
12	Correct	1 ms	492 KB	Output is correct
13	Correct	1 ms	492 KB	Output is correct
14	Correct	1 ms	492 KB	Output is correct
15	Correct	1 ms	492 KB	Output is correct
16	Correct	1 ms	492 KB	Output is correct
17	Correct	1 ms	492 KB	Output is correct
18	Correct	1 ms	492 KB	Output is correct
19	Correct	1 ms	492 KB	Output is correct
20	Correct	1 ms	492 KB	Output is correct
21	Correct	2 ms	1260 KB	Output is correct
22	Correct	2 ms	1260 KB	Output is correct
23	Correct	2 ms	1260 KB	Output is correct
24	Correct	3 ms	1280 KB	Output is correct
25	Correct	2 ms	1260 KB	Output is correct
26	Correct	3 ms	1260 KB	Output is correct
27	Correct	2 ms	1280 KB	Output is correct
28	Correct	6 ms	1400 KB	Output is correct
29	Correct	2 ms	1260 KB	Output is correct
30	Correct	2 ms	1260 KB	Output is correct
31	Correct	22 ms	4844 KB	Output is correct
32	Correct	22 ms	4844 KB	Output is correct
33	Correct	24 ms	4972 KB	Output is correct
34	Correct	22 ms	4844 KB	Output is correct
35	Correct	22 ms	4908 KB	Output is correct
36	Correct	24 ms	4844 KB	Output is correct
37	Correct	22 ms	4844 KB	Output is correct
38	Correct	22 ms	4844 KB	Output is correct
39	Correct	22 ms	4844 KB	Output is correct
40	Correct	28 ms	4844 KB	Output is correct

Subtask #5

36.0 / 36.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	364 KB	Output is correct
2	Correct	1 ms	364 KB	Output is correct
3	Correct	1 ms	364 KB	Output is correct
4	Correct	1 ms	364 KB	Output is correct
5	Correct	1 ms	384 KB	Output is correct
6	Correct	1 ms	364 KB	Output is correct
7	Correct	1 ms	364 KB	Output is correct
8	Correct	1 ms	364 KB	Output is correct
9	Correct	1 ms	364 KB	Output is correct
10	Correct	1 ms	364 KB	Output is correct
11	Correct	1 ms	492 KB	Output is correct
12	Correct	1 ms	492 KB	Output is correct
13	Correct	1 ms	492 KB	Output is correct
14	Correct	1 ms	492 KB	Output is correct
15	Correct	1 ms	492 KB	Output is correct
16	Correct	1 ms	492 KB	Output is correct
17	Correct	1 ms	492 KB	Output is correct
18	Correct	1 ms	492 KB	Output is correct
19	Correct	1 ms	492 KB	Output is correct
20	Correct	1 ms	492 KB	Output is correct
21	Correct	2 ms	1260 KB	Output is correct
22	Correct	2 ms	1260 KB	Output is correct
23	Correct	2 ms	1260 KB	Output is correct
24	Correct	3 ms	1280 KB	Output is correct
25	Correct	2 ms	1260 KB	Output is correct
26	Correct	3 ms	1260 KB	Output is correct
27	Correct	2 ms	1280 KB	Output is correct
28	Correct	6 ms	1400 KB	Output is correct
29	Correct	2 ms	1260 KB	Output is correct
30	Correct	2 ms	1260 KB	Output is correct
31	Correct	22 ms	4844 KB	Output is correct
32	Correct	22 ms	4844 KB	Output is correct
33	Correct	24 ms	4972 KB	Output is correct
34	Correct	22 ms	4844 KB	Output is correct
35	Correct	22 ms	4908 KB	Output is correct
36	Correct	24 ms	4844 KB	Output is correct
37	Correct	22 ms	4844 KB	Output is correct
38	Correct	22 ms	4844 KB	Output is correct
39	Correct	22 ms	4844 KB	Output is correct
40	Correct	28 ms	4844 KB	Output is correct
41	Correct	971 ms	67424 KB	Output is correct
42	Correct	955 ms	67308 KB	Output is correct
43	Correct	948 ms	67492 KB	Output is correct
44	Correct	962 ms	67576 KB	Output is correct
45	Correct	934 ms	67436 KB	Output is correct
46	Correct	966 ms	67436 KB	Output is correct
47	Correct	942 ms	67820 KB	Output is correct
48	Correct	947 ms	67564 KB	Output is correct
49	Correct	957 ms	67840 KB	Output is correct
50	Correct	945 ms	67612 KB	Output is correct
51	Correct	939 ms	67592 KB	Output is correct
52	Correct	945 ms	67564 KB	Output is correct
53	Correct	949 ms	67584 KB	Output is correct
54	Correct	954 ms	67592 KB	Output is correct
55	Correct	946 ms	67564 KB	Output is correct