Submission #1089642

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
1089642	2024-09-16T19:39:14 Z	xnqs	K blocks (IZhO14_blocks)	C++17	53 / 100	898 ms	46032 KB

blocks

#pragma GCC optimize("Ofast")
#pragma GCC target("avx2")
 
#include <iostream>
#include <fstream>
#include <vector>
#include <queue>
#include <utility>
#include <algorithm>
#include <cstdint>
 
const int BULAN = 4;
int x, p;
int arr[100005];
int sp_tb[17][100005];
uint32_t dp[105][100005];
 
void build_sparse_table() {
	for (int l = 1; l < 17; l++) {
		for (int i = 1; i+(1<<l)-1 <= x; i++) {
			sp_tb[l][i] = std::max(sp_tb[l-1][i], sp_tb[l-1][i+(1<<(l-1))]);
		}
	}
}
 
inline int max_query(int l, int r) {
	int lvl = 31-__builtin_clz(r-l+1);
	return std::max(sp_tb[lvl][l], sp_tb[lvl][r-(1<<lvl)+1]);
}
 
void calculate_dp() {
	if (1LL*x*x*p<=100'000'000) {
		dp[1][0] = 0x3f3f3f3f;
		for (int i = 1; i <= x; i++) {
			dp[1][i] = max_query(1,i);
		}
	 
		for (int k = 2; k <= p; k++) {
			for (int i = 0; i < k; i++) {
				dp[k][i] = 0x3f3f3f3f;
			}
			for (int i = k; i <= x; i++) {
				dp[k][i] = 0x3f3f3f3f;
				for (int j = k; j <= i; j++) {
					dp[k][i] = std::min(dp[k][i], dp[k-1][j-1] + max_query(j,i));
				}
			}
		}
		return;
	}
 
	dp[1][0] = 0x3f3f3f3f;
	for (int i = 1; i <= x; i++) {
		dp[1][i] = max_query(1,i);
	}
 
	for (int k = 2; k <= p; k++) {
		std::priority_queue<std::pair<uint32_t,int>> pq;
		for (int i = 0; i < k; i++) {
			dp[k][i] = 0x3f3f3f3f;
			pq.emplace(dp[k-1][i],i+1);
			if (pq.size()>BULAN) {
				pq.pop();
			}
		}
		for (int i = k; i <= x; i++) {
			dp[k][i] = 0x3f3f3f3f;
			std::vector<std::pair<uint32_t,int>> tmp;
			for (int rep = 0; rep < BULAN && !pq.empty(); rep++) {
				auto [opt_dp, idx] = pq.top();
				dp[k][i] = std::min(dp[k][i], opt_dp + max_query(idx,i));
				tmp.emplace_back(opt_dp,idx);
				pq.pop();
			}
			while (!tmp.empty()) {
				pq.emplace(tmp.back());
				tmp.pop_back();
			}
			pq.emplace(dp[k-1][i],i+1);
			if (pq.size()>BULAN) {
				pq.pop();
			}
		}
	}
}
 
int main() {
	std::ios_base::sync_with_stdio(false);
	std::cin.tie(NULL);
	std::cout.tie(NULL);
 
	std::cin >> x >> p;
	for (int i = 1; i <= x; i++) {
		std::cin >> arr[i];
		sp_tb[0][i] = arr[i];
	}
 
	build_sparse_table();
	calculate_dp();
 
	std::cout << dp[p][x] << "\n";
}

Subtask #1
14.0 / 14.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	348 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 ms	344 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	0 ms	348 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	0 ms	348 KB	Output is correct
11	Correct	1 ms	348 KB	Output is correct
12	Correct	0 ms	344 KB	Output is correct
13	Correct	0 ms	348 KB	Output is correct
14	Correct	0 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	0 ms	348 KB	Output is correct
17	Correct	0 ms	348 KB	Output is correct
18	Correct	0 ms	348 KB	Output is correct

Subtask #2
18.0 / 18.0

#	Verdict	Memory	Grader output
1	Correct	348 KB	Output is correct
2	Correct	348 KB	Output is correct
3	Correct	348 KB	Output is correct
4	Correct	348 KB	Output is correct
5	Correct	348 KB	Output is correct
6	Correct	348 KB	Output is correct
7	Correct	348 KB	Output is correct
8	Correct	348 KB	Output is correct
9	Correct	348 KB	Output is correct
10	Correct	348 KB	Output is correct
11	Correct	348 KB	Output is correct
12	Correct	348 KB	Output is correct
13	Correct	348 KB	Output is correct
14	Correct	348 KB	Output is correct
15	Correct	348 KB	Output is correct
16	Correct	348 KB	Output is correct
17	Correct	348 KB	Output is correct
18	Correct	348 KB	Output is correct
19	Correct	348 KB	Output is correct
20	Correct	348 KB	Output is correct

Subtask #3
21.0 / 21.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	348 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 ms	344 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	0 ms	348 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	0 ms	348 KB	Output is correct
11	Correct	1 ms	348 KB	Output is correct
12	Correct	0 ms	344 KB	Output is correct
13	Correct	0 ms	348 KB	Output is correct
14	Correct	0 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	0 ms	348 KB	Output is correct
17	Correct	0 ms	348 KB	Output is correct
18	Correct	0 ms	348 KB	Output is correct
19	Correct	0 ms	348 KB	Output is correct
20	Correct	0 ms	348 KB	Output is correct
21	Correct	0 ms	348 KB	Output is correct
22	Correct	0 ms	348 KB	Output is correct
23	Correct	0 ms	348 KB	Output is correct
24	Correct	0 ms	348 KB	Output is correct
25	Correct	0 ms	348 KB	Output is correct
26	Correct	0 ms	348 KB	Output is correct
27	Correct	0 ms	348 KB	Output is correct
28	Correct	0 ms	348 KB	Output is correct
29	Correct	0 ms	348 KB	Output is correct
30	Correct	0 ms	348 KB	Output is correct
31	Correct	0 ms	348 KB	Output is correct
32	Correct	0 ms	348 KB	Output is correct
33	Correct	0 ms	348 KB	Output is correct
34	Correct	0 ms	348 KB	Output is correct
35	Correct	0 ms	348 KB	Output is correct
36	Correct	0 ms	348 KB	Output is correct
37	Correct	0 ms	348 KB	Output is correct
38	Correct	0 ms	348 KB	Output is correct
39	Correct	1 ms	604 KB	Output is correct
40	Correct	0 ms	348 KB	Output is correct
41	Correct	0 ms	348 KB	Output is correct
42	Correct	0 ms	348 KB	Output is correct
43	Correct	0 ms	348 KB	Output is correct
44	Correct	0 ms	348 KB	Output is correct
45	Correct	0 ms	348 KB	Output is correct
46	Correct	0 ms	348 KB	Output is correct
47	Correct	0 ms	348 KB	Output is correct
48	Correct	0 ms	348 KB	Output is correct
49	Correct	0 ms	348 KB	Output is correct
50	Correct	0 ms	344 KB	Output is correct
51	Correct	1 ms	604 KB	Output is correct
52	Correct	1 ms	604 KB	Output is correct
53	Correct	1 ms	860 KB	Output is correct
54	Correct	1 ms	860 KB	Output is correct
55	Correct	1 ms	604 KB	Output is correct
56	Correct	1 ms	1112 KB	Output is correct
57	Correct	1 ms	860 KB	Output is correct

Subtask #4
0 / 47.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	348 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 ms	344 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	0 ms	348 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	0 ms	348 KB	Output is correct
11	Correct	1 ms	348 KB	Output is correct
12	Correct	0 ms	344 KB	Output is correct
13	Correct	0 ms	348 KB	Output is correct
14	Correct	0 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	0 ms	348 KB	Output is correct
17	Correct	0 ms	348 KB	Output is correct
18	Correct	0 ms	348 KB	Output is correct
19	Correct	0 ms	348 KB	Output is correct
20	Correct	0 ms	348 KB	Output is correct
21	Correct	0 ms	348 KB	Output is correct
22	Correct	0 ms	348 KB	Output is correct
23	Correct	0 ms	348 KB	Output is correct
24	Correct	0 ms	348 KB	Output is correct
25	Correct	0 ms	348 KB	Output is correct
26	Correct	0 ms	348 KB	Output is correct
27	Correct	0 ms	348 KB	Output is correct
28	Correct	0 ms	348 KB	Output is correct
29	Correct	0 ms	348 KB	Output is correct
30	Correct	0 ms	348 KB	Output is correct
31	Correct	0 ms	348 KB	Output is correct
32	Correct	0 ms	348 KB	Output is correct
33	Correct	0 ms	348 KB	Output is correct
34	Correct	0 ms	348 KB	Output is correct
35	Correct	0 ms	348 KB	Output is correct
36	Correct	0 ms	348 KB	Output is correct
37	Correct	0 ms	348 KB	Output is correct
38	Correct	0 ms	348 KB	Output is correct
39	Correct	1 ms	604 KB	Output is correct
40	Correct	0 ms	348 KB	Output is correct
41	Correct	0 ms	348 KB	Output is correct
42	Correct	0 ms	348 KB	Output is correct
43	Correct	0 ms	348 KB	Output is correct
44	Correct	0 ms	348 KB	Output is correct
45	Correct	0 ms	348 KB	Output is correct
46	Correct	0 ms	348 KB	Output is correct
47	Correct	0 ms	348 KB	Output is correct
48	Correct	0 ms	348 KB	Output is correct
49	Correct	0 ms	348 KB	Output is correct
50	Correct	0 ms	344 KB	Output is correct
51	Correct	1 ms	604 KB	Output is correct
52	Correct	1 ms	604 KB	Output is correct
53	Correct	1 ms	860 KB	Output is correct
54	Correct	1 ms	860 KB	Output is correct
55	Correct	1 ms	604 KB	Output is correct
56	Correct	1 ms	1112 KB	Output is correct
57	Correct	1 ms	860 KB	Output is correct
58	Correct	22 ms	2012 KB	Output is correct
59	Correct	4 ms	3420 KB	Output is correct
60	Correct	28 ms	4388 KB	Output is correct
61	Correct	330 ms	16788 KB	Output is correct
62	Correct	898 ms	46032 KB	Output is correct
63	Correct	27 ms	8024 KB	Output is correct
64	Correct	401 ms	24600 KB	Output is correct
65	Correct	1 ms	600 KB	Output is correct
66	Correct	1 ms	600 KB	Output is correct
67	Correct	1 ms	604 KB	Output is correct
68	Correct	1 ms	604 KB	Output is correct
69	Correct	0 ms	348 KB	Output is correct
70	Correct	12 ms	604 KB	Output is correct
71	Incorrect	95 ms	5424 KB	Output isn't correct
72	Halted	0 ms	0 KB	-

Submission #1089642

Compilation message

Subtask #1 14.0 / 14.0

Subtask #2 18.0 / 18.0

Subtask #3 21.0 / 21.0

Subtask #4 0 / 47.0

Subtask #1
14.0 / 14.0

Subtask #2
18.0 / 18.0

Subtask #3
21.0 / 21.0

Subtask #4
0 / 47.0