Submission #1082294

# Submission time Handle Problem Language Result Execution time Memory
1082294 2024-08-31T05:43:48 Z muhammad Feast (NOI19_feast) C++17
100 / 100
190 ms 13976 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;
}
# Verdict Execution time Memory Grader output
1 Correct 117 ms 13652 KB Output is correct
2 Correct 120 ms 13648 KB Output is correct
3 Correct 121 ms 13652 KB Output is correct
4 Correct 119 ms 13652 KB Output is correct
5 Correct 119 ms 13684 KB Output is correct
6 Correct 115 ms 13436 KB Output is correct
7 Correct 117 ms 13396 KB Output is correct
8 Correct 118 ms 13652 KB Output is correct
9 Correct 116 ms 13396 KB Output is correct
10 Correct 118 ms 13396 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 80 ms 11856 KB Output is correct
2 Correct 84 ms 11860 KB Output is correct
3 Correct 82 ms 11604 KB Output is correct
4 Correct 91 ms 11920 KB Output is correct
5 Correct 128 ms 13308 KB Output is correct
6 Correct 81 ms 11624 KB Output is correct
7 Correct 81 ms 12116 KB Output is correct
8 Correct 119 ms 13648 KB Output is correct
9 Correct 118 ms 13312 KB Output is correct
10 Correct 81 ms 11868 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 151 ms 13708 KB Output is correct
2 Correct 149 ms 13652 KB Output is correct
3 Correct 148 ms 13648 KB Output is correct
4 Correct 144 ms 13652 KB Output is correct
5 Correct 155 ms 13836 KB Output is correct
6 Correct 163 ms 13852 KB Output is correct
7 Correct 148 ms 13848 KB Output is correct
8 Correct 154 ms 13652 KB Output is correct
9 Correct 155 ms 13908 KB Output is correct
10 Correct 160 ms 13976 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 432 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 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 432 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 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 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 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 1 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 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 432 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 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 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 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 1 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 1 ms 348 KB Output is correct
21 Correct 2 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 460 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 2 ms 344 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 117 ms 13652 KB Output is correct
2 Correct 120 ms 13648 KB Output is correct
3 Correct 121 ms 13652 KB Output is correct
4 Correct 119 ms 13652 KB Output is correct
5 Correct 119 ms 13684 KB Output is correct
6 Correct 115 ms 13436 KB Output is correct
7 Correct 117 ms 13396 KB Output is correct
8 Correct 118 ms 13652 KB Output is correct
9 Correct 116 ms 13396 KB Output is correct
10 Correct 118 ms 13396 KB Output is correct
11 Correct 80 ms 11856 KB Output is correct
12 Correct 84 ms 11860 KB Output is correct
13 Correct 82 ms 11604 KB Output is correct
14 Correct 91 ms 11920 KB Output is correct
15 Correct 128 ms 13308 KB Output is correct
16 Correct 81 ms 11624 KB Output is correct
17 Correct 81 ms 12116 KB Output is correct
18 Correct 119 ms 13648 KB Output is correct
19 Correct 118 ms 13312 KB Output is correct
20 Correct 81 ms 11868 KB Output is correct
21 Correct 151 ms 13708 KB Output is correct
22 Correct 149 ms 13652 KB Output is correct
23 Correct 148 ms 13648 KB Output is correct
24 Correct 144 ms 13652 KB Output is correct
25 Correct 155 ms 13836 KB Output is correct
26 Correct 163 ms 13852 KB Output is correct
27 Correct 148 ms 13848 KB Output is correct
28 Correct 154 ms 13652 KB Output is correct
29 Correct 155 ms 13908 KB Output is correct
30 Correct 160 ms 13976 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 0 ms 432 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 0 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 1 ms 348 KB Output is correct
44 Correct 1 ms 344 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 1 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 1 ms 348 KB Output is correct
51 Correct 2 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 460 KB Output is correct
56 Correct 1 ms 348 KB Output is correct
57 Correct 1 ms 348 KB Output is correct
58 Correct 2 ms 344 KB Output is correct
59 Correct 1 ms 348 KB Output is correct
60 Correct 1 ms 348 KB Output is correct
61 Correct 180 ms 13584 KB Output is correct
62 Correct 183 ms 13856 KB Output is correct
63 Correct 162 ms 13648 KB Output is correct
64 Correct 183 ms 13720 KB Output is correct
65 Correct 190 ms 13716 KB Output is correct
66 Correct 186 ms 13652 KB Output is correct
67 Correct 186 ms 13436 KB Output is correct
68 Correct 156 ms 13904 KB Output is correct
69 Correct 148 ms 13652 KB Output is correct
70 Correct 156 ms 13600 KB Output is correct