Submission #1104094

# Submission time Handle Problem Language Result Execution time Memory
1104094 2024-10-22T17:37:36 Z ridarfx Feast (NOI19_feast) C++14
100 / 100
212 ms 12580 KB
#include <bits/stdc++.h>
using namespace std;

#define ll long long

int main() {
	int n, k;
	cin >> n >> k;
    long long rk = 0;
	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;
}

Compilation message

feast.cpp: In function 'int main()':
feast.cpp:9:15: warning: unused variable 'rk' [-Wunused-variable]
    9 |     long long rk = 0;
      |               ^~
# Verdict Execution time Memory Grader output
1 Correct 129 ms 10520 KB Output is correct
2 Correct 130 ms 11304 KB Output is correct
3 Correct 132 ms 11084 KB Output is correct
4 Correct 158 ms 10804 KB Output is correct
5 Correct 129 ms 11816 KB Output is correct
6 Correct 133 ms 10520 KB Output is correct
7 Correct 139 ms 10524 KB Output is correct
8 Correct 134 ms 10800 KB Output is correct
9 Correct 137 ms 10524 KB Output is correct
10 Correct 131 ms 10568 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 95 ms 10528 KB Output is correct
2 Correct 91 ms 10824 KB Output is correct
3 Correct 98 ms 10524 KB Output is correct
4 Correct 95 ms 10796 KB Output is correct
5 Correct 119 ms 10824 KB Output is correct
6 Correct 89 ms 10704 KB Output is correct
7 Correct 152 ms 10820 KB Output is correct
8 Correct 153 ms 10824 KB Output is correct
9 Correct 155 ms 10572 KB Output is correct
10 Correct 84 ms 10824 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 151 ms 10824 KB Output is correct
2 Correct 152 ms 10568 KB Output is correct
3 Correct 155 ms 11692 KB Output is correct
4 Correct 151 ms 10532 KB Output is correct
5 Correct 166 ms 10796 KB Output is correct
6 Correct 149 ms 10800 KB Output is correct
7 Correct 162 ms 10824 KB Output is correct
8 Correct 157 ms 10824 KB Output is correct
9 Correct 170 ms 11816 KB Output is correct
10 Correct 157 ms 12464 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 504 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 504 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 ms 336 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 504 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 ms 336 KB Output is correct
21 Correct 2 ms 336 KB Output is correct
22 Correct 2 ms 336 KB Output is correct
23 Correct 2 ms 520 KB Output is correct
24 Correct 2 ms 336 KB Output is correct
25 Correct 2 ms 336 KB Output is correct
26 Correct 2 ms 336 KB Output is correct
27 Correct 2 ms 336 KB Output is correct
28 Correct 2 ms 336 KB Output is correct
29 Correct 1 ms 336 KB Output is correct
30 Correct 2 ms 336 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 129 ms 10520 KB Output is correct
2 Correct 130 ms 11304 KB Output is correct
3 Correct 132 ms 11084 KB Output is correct
4 Correct 158 ms 10804 KB Output is correct
5 Correct 129 ms 11816 KB Output is correct
6 Correct 133 ms 10520 KB Output is correct
7 Correct 139 ms 10524 KB Output is correct
8 Correct 134 ms 10800 KB Output is correct
9 Correct 137 ms 10524 KB Output is correct
10 Correct 131 ms 10568 KB Output is correct
11 Correct 95 ms 10528 KB Output is correct
12 Correct 91 ms 10824 KB Output is correct
13 Correct 98 ms 10524 KB Output is correct
14 Correct 95 ms 10796 KB Output is correct
15 Correct 119 ms 10824 KB Output is correct
16 Correct 89 ms 10704 KB Output is correct
17 Correct 152 ms 10820 KB Output is correct
18 Correct 153 ms 10824 KB Output is correct
19 Correct 155 ms 10572 KB Output is correct
20 Correct 84 ms 10824 KB Output is correct
21 Correct 151 ms 10824 KB Output is correct
22 Correct 152 ms 10568 KB Output is correct
23 Correct 155 ms 11692 KB Output is correct
24 Correct 151 ms 10532 KB Output is correct
25 Correct 166 ms 10796 KB Output is correct
26 Correct 149 ms 10800 KB Output is correct
27 Correct 162 ms 10824 KB Output is correct
28 Correct 157 ms 10824 KB Output is correct
29 Correct 170 ms 11816 KB Output is correct
30 Correct 157 ms 12464 KB Output is correct
31 Correct 1 ms 336 KB Output is correct
32 Correct 1 ms 336 KB Output is correct
33 Correct 1 ms 336 KB Output is correct
34 Correct 1 ms 504 KB Output is correct
35 Correct 1 ms 336 KB Output is correct
36 Correct 1 ms 336 KB Output is correct
37 Correct 1 ms 336 KB Output is correct
38 Correct 1 ms 336 KB Output is correct
39 Correct 1 ms 336 KB Output is correct
40 Correct 1 ms 336 KB Output is correct
41 Correct 1 ms 336 KB Output is correct
42 Correct 1 ms 336 KB Output is correct
43 Correct 1 ms 336 KB Output is correct
44 Correct 1 ms 336 KB Output is correct
45 Correct 1 ms 336 KB Output is correct
46 Correct 1 ms 336 KB Output is correct
47 Correct 1 ms 336 KB Output is correct
48 Correct 1 ms 336 KB Output is correct
49 Correct 1 ms 336 KB Output is correct
50 Correct 1 ms 336 KB Output is correct
51 Correct 2 ms 336 KB Output is correct
52 Correct 2 ms 336 KB Output is correct
53 Correct 2 ms 520 KB Output is correct
54 Correct 2 ms 336 KB Output is correct
55 Correct 2 ms 336 KB Output is correct
56 Correct 2 ms 336 KB Output is correct
57 Correct 2 ms 336 KB Output is correct
58 Correct 2 ms 336 KB Output is correct
59 Correct 1 ms 336 KB Output is correct
60 Correct 2 ms 336 KB Output is correct
61 Correct 178 ms 10524 KB Output is correct
62 Correct 194 ms 10824 KB Output is correct
63 Correct 189 ms 12360 KB Output is correct
64 Correct 199 ms 12576 KB Output is correct
65 Correct 199 ms 10824 KB Output is correct
66 Correct 212 ms 12580 KB Output is correct
67 Correct 193 ms 10520 KB Output is correct
68 Correct 152 ms 10804 KB Output is correct
69 Correct 146 ms 10568 KB Output is correct
70 Correct 147 ms 10516 KB Output is correct