oj.uz

Submission #1089616

# Submission time Handle Problem Language Result Execution time Memory
1089616 2024-09-16T19:28:41 Z xnqs K blocks (IZhO14_blocks) C++17
53 / 100
 1000 ms 39584 KB 
#include <iostream>
#include <fstream>
#include <vector>
#include <queue>
#include <utility>
#include <algorithm>

const int BULAN = 3;
int x, p;
int arr[100005];
int sp_tb[17][100005];
int64_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*p*p<=1'000'000) {
		dp[1][0] = 0x3f3f3f3f3f3f3f3f;
		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] = 0x3f3f3f3f3f3f3f3f;
			}
			for (int i = k; i <= x; i++) {
				dp[k][i] = 0x3f3f3f3f3f3f3f3f;
				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] = 0x3f3f3f3f3f3f3f3f;
	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<int64_t,int>, std::vector<std::pair<int64_t,int>>, std::greater<std::pair<int64_t,int>>> pq;
		for (int i = 0; i < k; i++) {
			dp[k][i] = 0x3f3f3f3f3f3f3f3f;
			pq.emplace(dp[k-1][i],i+1);
		}
		for (int i = k; i <= x; i++) {
			dp[k][i] = 0x3f3f3f3f3f3f3f3f;
			std::vector<std::pair<int64_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);
		}
	}
}

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 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 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 0 ms 348 KB Output is correct
12 Correct 0 ms 348 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 1 ms 344 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 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 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 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 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 344 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 344 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 0 ms 344 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 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 0 ms 348 KB Output is correct
12 Correct 0 ms 348 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 1 ms 344 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 1 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 344 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 344 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 1 ms 348 KB Output is correct
38 Correct 0 ms 344 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 344 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 0 ms 344 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 348 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 1116 KB Output is correct
54 Correct 1 ms 1116 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 1116 KB Output is correct

Subtask #4
0 / 47.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 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 0 ms 348 KB Output is correct
12 Correct 0 ms 348 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 1 ms 344 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 1 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 344 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 344 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 1 ms 348 KB Output is correct
38 Correct 0 ms 344 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 344 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 0 ms 344 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 348 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 1116 KB Output is correct
54 Correct 1 ms 1116 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 1116 KB Output is correct
58 Correct 65 ms 3520 KB Output is correct
59 Correct 4 ms 3420 KB Output is correct
60 Correct 78 ms 7176 KB Output is correct
61 Correct 966 ms 31732 KB Output is correct
62 Execution timed out 1047 ms 39584 KB Time limit exceeded
63 Halted 0 ms 0 KB -