# |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
1082294 |
2024-08-31T05:43:48 Z |
muhammad |
Feast (NOI19_feast) |
C++17 |
|
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 |