Submission #988367

# Submission time Handle Problem Language Result Execution time Memory
988367 2024-05-24T14:43:43 Z vjudge1 Feast (NOI19_feast) C++17
100 / 100
260 ms 27164 KB
#include <iostream>
#include <vector>
#include <climits>

using namespace std;

int n, k;
vector<long long> a;
vector<vector<pair<long long, long long> > > DP;

pair<long long, long long> dp(long long lambda)
{
	DP[0][0] = { 0, 0 };
	for (int i = 1; i <= n; i++)
	{
		DP[i][0] = max(DP[i - 1][0], DP[i - 1][1]);
		DP[i][1] = max(
			make_pair(DP[i - 1][0].first + a[i] - lambda, DP[i - 1][0].second + 1),
			make_pair(DP[i - 1][1].first + a[i], DP[i - 1][1].second)
		);
	}
	return max(DP[n][0], DP[n][1]);
}

int main()
{
	cin >> n >> k;
	DP.resize(n + 1, vector<pair<long long, long long>>(2, { LLONG_MIN / 4, 0 }));
	a.resize(n + 1);
	for (int i = 1; i <= n; i++)
	{
		cin >> a[i];
	}

	long long l = 0, r = 3e14, lambda;
	while ( r - l > 1)
	{
		lambda = (l + r) / 2;
		auto m = dp(lambda);
		if (m.second > k) l = lambda;
		else r = lambda;
	}
	auto megoldas = dp(r);
	cout << megoldas.first + megoldas.second * r;

	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 191 ms 23172 KB Output is correct
2 Correct 191 ms 23384 KB Output is correct
3 Correct 200 ms 23640 KB Output is correct
4 Correct 194 ms 23712 KB Output is correct
5 Correct 176 ms 23580 KB Output is correct
6 Correct 186 ms 23132 KB Output is correct
7 Correct 173 ms 23284 KB Output is correct
8 Correct 192 ms 23640 KB Output is correct
9 Correct 172 ms 23132 KB Output is correct
10 Correct 188 ms 23472 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 145 ms 23328 KB Output is correct
2 Correct 160 ms 23644 KB Output is correct
3 Correct 150 ms 23304 KB Output is correct
4 Correct 152 ms 23384 KB Output is correct
5 Correct 183 ms 23128 KB Output is correct
6 Correct 168 ms 23128 KB Output is correct
7 Correct 157 ms 23900 KB Output is correct
8 Correct 197 ms 23644 KB Output is correct
9 Correct 166 ms 23136 KB Output is correct
10 Correct 157 ms 23644 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 196 ms 23640 KB Output is correct
2 Correct 204 ms 26196 KB Output is correct
3 Correct 201 ms 26492 KB Output is correct
4 Correct 202 ms 26192 KB Output is correct
5 Correct 205 ms 26708 KB Output is correct
6 Correct 208 ms 26736 KB Output is correct
7 Correct 210 ms 26732 KB Output is correct
8 Correct 210 ms 26768 KB Output is correct
9 Correct 205 ms 26708 KB Output is correct
10 Correct 231 ms 26724 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 436 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 436 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 440 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 436 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 440 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 2 ms 600 KB Output is correct
22 Correct 2 ms 600 KB Output is correct
23 Correct 2 ms 604 KB Output is correct
24 Correct 2 ms 604 KB Output is correct
25 Correct 2 ms 600 KB Output is correct
26 Correct 2 ms 856 KB Output is correct
27 Correct 2 ms 600 KB Output is correct
28 Correct 1 ms 604 KB Output is correct
29 Correct 2 ms 604 KB Output is correct
30 Correct 1 ms 448 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 191 ms 23172 KB Output is correct
2 Correct 191 ms 23384 KB Output is correct
3 Correct 200 ms 23640 KB Output is correct
4 Correct 194 ms 23712 KB Output is correct
5 Correct 176 ms 23580 KB Output is correct
6 Correct 186 ms 23132 KB Output is correct
7 Correct 173 ms 23284 KB Output is correct
8 Correct 192 ms 23640 KB Output is correct
9 Correct 172 ms 23132 KB Output is correct
10 Correct 188 ms 23472 KB Output is correct
11 Correct 145 ms 23328 KB Output is correct
12 Correct 160 ms 23644 KB Output is correct
13 Correct 150 ms 23304 KB Output is correct
14 Correct 152 ms 23384 KB Output is correct
15 Correct 183 ms 23128 KB Output is correct
16 Correct 168 ms 23128 KB Output is correct
17 Correct 157 ms 23900 KB Output is correct
18 Correct 197 ms 23644 KB Output is correct
19 Correct 166 ms 23136 KB Output is correct
20 Correct 157 ms 23644 KB Output is correct
21 Correct 196 ms 23640 KB Output is correct
22 Correct 204 ms 26196 KB Output is correct
23 Correct 201 ms 26492 KB Output is correct
24 Correct 202 ms 26192 KB Output is correct
25 Correct 205 ms 26708 KB Output is correct
26 Correct 208 ms 26736 KB Output is correct
27 Correct 210 ms 26732 KB Output is correct
28 Correct 210 ms 26768 KB Output is correct
29 Correct 205 ms 26708 KB Output is correct
30 Correct 231 ms 26724 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 1 ms 436 KB Output is correct
36 Correct 1 ms 348 KB Output is correct
37 Correct 1 ms 348 KB Output is correct
38 Correct 1 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 1 ms 348 KB Output is correct
44 Correct 1 ms 348 KB Output is correct
45 Correct 1 ms 440 KB Output is correct
46 Correct 1 ms 348 KB Output is correct
47 Correct 1 ms 348 KB Output is correct
48 Correct 1 ms 348 KB Output is correct
49 Correct 1 ms 348 KB Output is correct
50 Correct 1 ms 344 KB Output is correct
51 Correct 2 ms 600 KB Output is correct
52 Correct 2 ms 600 KB Output is correct
53 Correct 2 ms 604 KB Output is correct
54 Correct 2 ms 604 KB Output is correct
55 Correct 2 ms 600 KB Output is correct
56 Correct 2 ms 856 KB Output is correct
57 Correct 2 ms 600 KB Output is correct
58 Correct 1 ms 604 KB Output is correct
59 Correct 2 ms 604 KB Output is correct
60 Correct 1 ms 448 KB Output is correct
61 Correct 218 ms 26232 KB Output is correct
62 Correct 224 ms 27164 KB Output is correct
63 Correct 195 ms 26196 KB Output is correct
64 Correct 227 ms 26644 KB Output is correct
65 Correct 260 ms 26712 KB Output is correct
66 Correct 219 ms 26440 KB Output is correct
67 Correct 221 ms 26484 KB Output is correct
68 Correct 209 ms 26704 KB Output is correct
69 Correct 202 ms 26192 KB Output is correct
70 Correct 206 ms 26200 KB Output is correct