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Submission #952443

# Submission time Handle Problem Language Result Execution time Memory
952443 2024-03-23T22:59:20 Z SirCovidThe19th Feast (NOI19_feast) C++17
100 / 100
 212 ms 14244 KB 
#include <bits/stdc++.h>
using namespace std;

#define ll long long

int main() {
	int n, k;
	cin >> n >> k;

	int a[n];
	for (int &i : a) { cin >> i; }

	/**
	 * @return the maximum sum along with the number of subarrays used
	 * if creating a subarray penalizes the sum by "lmb" and
	 * there is no limit to the number of subarrays you can create
	 */
	auto solve_lambda = [&](ll lmb) {
		pair<ll, ll> dp[n][2];

		dp[0][0] = {0, 0};
		dp[0][1] = {a[0] - lmb, 1};

		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] - lmb,
			                  dp[i - 1][0].second + 1),
			        make_pair(dp[i - 1][1].first + a[i], dp[i - 1][1].second));
		}

		return max(dp[n - 1][0], dp[n - 1][1]);
	};

	ll lo = 0;
	ll hi = 1e18;
	while (lo < hi) {
		ll mid = (lo + hi + 1) / 2;
		solve_lambda(mid).second >= k ? lo = mid : hi = mid - 1;
	}

	cout << solve_lambda(lo).first + lo * k << endl;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 146 ms 13432 KB Output is correct
2 Correct 148 ms 13648 KB Output is correct
3 Correct 173 ms 13588 KB Output is correct
4 Correct 147 ms 13648 KB Output is correct
5 Correct 153 ms 13452 KB Output is correct
6 Correct 145 ms 13392 KB Output is correct
7 Correct 145 ms 13440 KB Output is correct
8 Correct 149 ms 13704 KB Output is correct
9 Correct 154 ms 13324 KB Output is correct
10 Correct 149 ms 13480 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 117 ms 11600 KB Output is correct
2 Correct 110 ms 12076 KB Output is correct
3 Correct 110 ms 11804 KB Output is correct
4 Correct 112 ms 11916 KB Output is correct
5 Correct 155 ms 13392 KB Output is correct
6 Correct 103 ms 11804 KB Output is correct
7 Correct 117 ms 12108 KB Output is correct
8 Correct 147 ms 13600 KB Output is correct
9 Correct 146 ms 13308 KB Output is correct
10 Correct 111 ms 11920 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 180 ms 13876 KB Output is correct
2 Correct 182 ms 13648 KB Output is correct
3 Correct 172 ms 13828 KB Output is correct
4 Correct 169 ms 13648 KB Output is correct
5 Correct 171 ms 13832 KB Output is correct
6 Correct 174 ms 13912 KB Output is correct
7 Correct 176 ms 13976 KB Output is correct
8 Correct 175 ms 13648 KB Output is correct
9 Correct 175 ms 13908 KB Output is correct
10 Correct 184 ms 14244 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 600 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 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 344 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 600 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 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 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 1 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 600 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 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 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 1 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 1 ms 600 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 2 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 2 ms 348 KB Output is correct
27 Correct 2 ms 348 KB Output is correct
28 Correct 2 ms 348 KB Output is correct
29 Correct 2 ms 348 KB Output is correct
30 Correct 2 ms 348 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 146 ms 13432 KB Output is correct
2 Correct 148 ms 13648 KB Output is correct
3 Correct 173 ms 13588 KB Output is correct
4 Correct 147 ms 13648 KB Output is correct
5 Correct 153 ms 13452 KB Output is correct
6 Correct 145 ms 13392 KB Output is correct
7 Correct 145 ms 13440 KB Output is correct
8 Correct 149 ms 13704 KB Output is correct
9 Correct 154 ms 13324 KB Output is correct
10 Correct 149 ms 13480 KB Output is correct
11 Correct 117 ms 11600 KB Output is correct
12 Correct 110 ms 12076 KB Output is correct
13 Correct 110 ms 11804 KB Output is correct
14 Correct 112 ms 11916 KB Output is correct
15 Correct 155 ms 13392 KB Output is correct
16 Correct 103 ms 11804 KB Output is correct
17 Correct 117 ms 12108 KB Output is correct
18 Correct 147 ms 13600 KB Output is correct
19 Correct 146 ms 13308 KB Output is correct
20 Correct 111 ms 11920 KB Output is correct
21 Correct 180 ms 13876 KB Output is correct
22 Correct 182 ms 13648 KB Output is correct
23 Correct 172 ms 13828 KB Output is correct
24 Correct 169 ms 13648 KB Output is correct
25 Correct 171 ms 13832 KB Output is correct
26 Correct 174 ms 13912 KB Output is correct
27 Correct 176 ms 13976 KB Output is correct
28 Correct 175 ms 13648 KB Output is correct
29 Correct 175 ms 13908 KB Output is correct
30 Correct 184 ms 14244 KB Output is correct
31 Correct 0 ms 600 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 1 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 0 ms 344 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 1 ms 348 KB Output is correct
45 Correct 1 ms 348 KB Output is correct
46 Correct 1 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 1 ms 348 KB Output is correct
50 Correct 0 ms 348 KB Output is correct
51 Correct 1 ms 600 KB Output is correct
52 Correct 1 ms 348 KB Output is correct
53 Correct 1 ms 348 KB Output is correct
54 Correct 2 ms 348 KB Output is correct
55 Correct 1 ms 348 KB Output is correct
56 Correct 2 ms 348 KB Output is correct
57 Correct 2 ms 348 KB Output is correct
58 Correct 2 ms 348 KB Output is correct
59 Correct 2 ms 348 KB Output is correct
60 Correct 2 ms 348 KB Output is correct
61 Correct 205 ms 13684 KB Output is correct
62 Correct 209 ms 14020 KB Output is correct
63 Correct 185 ms 13564 KB Output is correct
64 Correct 210 ms 13908 KB Output is correct
65 Correct 212 ms 13904 KB Output is correct
66 Correct 212 ms 13648 KB Output is correct
67 Correct 208 ms 13580 KB Output is correct
68 Correct 185 ms 14160 KB Output is correct
69 Correct 168 ms 13656 KB Output is correct
70 Correct 172 ms 13396 KB Output is correct