#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) / 2;
solve_lambda(mid).second <= k ? hi = mid : lo = mid + 1;
}
cout << solve_lambda(lo).first + lo * k << endl;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
148 ms |
13300 KB |
Output is correct |
| 2 |
Correct |
158 ms |
13592 KB |
Output is correct |
| 3 |
Correct |
165 ms |
13644 KB |
Output is correct |
| 4 |
Correct |
166 ms |
13720 KB |
Output is correct |
| 5 |
Correct |
180 ms |
13648 KB |
Output is correct |
| 6 |
Correct |
150 ms |
13396 KB |
Output is correct |
| 7 |
Correct |
145 ms |
13396 KB |
Output is correct |
| 8 |
Correct |
162 ms |
13584 KB |
Output is correct |
| 9 |
Correct |
149 ms |
13396 KB |
Output is correct |
| 10 |
Correct |
156 ms |
13392 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
110 ms |
11828 KB |
Output is correct |
| 2 |
Correct |
116 ms |
12056 KB |
Output is correct |
| 3 |
Correct |
107 ms |
11604 KB |
Output is correct |
| 4 |
Correct |
109 ms |
11860 KB |
Output is correct |
| 5 |
Correct |
150 ms |
13652 KB |
Output is correct |
| 6 |
Correct |
132 ms |
11600 KB |
Output is correct |
| 7 |
Correct |
115 ms |
12036 KB |
Output is correct |
| 8 |
Correct |
150 ms |
13904 KB |
Output is correct |
| 9 |
Correct |
147 ms |
13168 KB |
Output is correct |
| 10 |
Correct |
114 ms |
11856 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
176 ms |
13720 KB |
Output is correct |
| 2 |
Correct |
181 ms |
13720 KB |
Output is correct |
| 3 |
Correct |
174 ms |
13720 KB |
Output is correct |
| 4 |
Correct |
172 ms |
13648 KB |
Output is correct |
| 5 |
Correct |
183 ms |
13704 KB |
Output is correct |
| 6 |
Correct |
210 ms |
13908 KB |
Output is correct |
| 7 |
Correct |
176 ms |
13908 KB |
Output is correct |
| 8 |
Correct |
178 ms |
13832 KB |
Output is correct |
| 9 |
Correct |
182 ms |
13852 KB |
Output is correct |
| 10 |
Correct |
176 ms |
13964 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
344 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 |
344 KB |
Output is correct |
| 6 |
Correct |
0 ms |
348 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 KB |
Output is correct |
| 8 |
Correct |
1 ms |
348 KB |
Output is correct |
| 9 |
Correct |
0 ms |
348 KB |
Output is correct |
| 10 |
Correct |
0 ms |
436 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
344 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 |
344 KB |
Output is correct |
| 6 |
Correct |
0 ms |
348 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 KB |
Output is correct |
| 8 |
Correct |
1 ms |
348 KB |
Output is correct |
| 9 |
Correct |
0 ms |
348 KB |
Output is correct |
| 10 |
Correct |
0 ms |
436 KB |
Output is correct |
| 11 |
Correct |
1 ms |
344 KB |
Output is correct |
| 12 |
Correct |
1 ms |
344 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 |
344 KB |
Output is correct |
| 16 |
Correct |
1 ms |
348 KB |
Output is correct |
| 17 |
Correct |
1 ms |
344 KB |
Output is correct |
| 18 |
Correct |
0 ms |
348 KB |
Output is correct |
| 19 |
Correct |
1 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 |
344 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 |
344 KB |
Output is correct |
| 6 |
Correct |
0 ms |
348 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 KB |
Output is correct |
| 8 |
Correct |
1 ms |
348 KB |
Output is correct |
| 9 |
Correct |
0 ms |
348 KB |
Output is correct |
| 10 |
Correct |
0 ms |
436 KB |
Output is correct |
| 11 |
Correct |
1 ms |
344 KB |
Output is correct |
| 12 |
Correct |
1 ms |
344 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 |
344 KB |
Output is correct |
| 16 |
Correct |
1 ms |
348 KB |
Output is correct |
| 17 |
Correct |
1 ms |
344 KB |
Output is correct |
| 18 |
Correct |
0 ms |
348 KB |
Output is correct |
| 19 |
Correct |
1 ms |
348 KB |
Output is correct |
| 20 |
Correct |
1 ms |
348 KB |
Output is correct |
| 21 |
Correct |
1 ms |
348 KB |
Output is correct |
| 22 |
Correct |
1 ms |
348 KB |
Output is correct |
| 23 |
Correct |
1 ms |
448 KB |
Output is correct |
| 24 |
Correct |
2 ms |
600 KB |
Output is correct |
| 25 |
Correct |
1 ms |
348 KB |
Output is correct |
| 26 |
Correct |
2 ms |
348 KB |
Output is correct |
| 27 |
Correct |
1 ms |
348 KB |
Output is correct |
| 28 |
Correct |
1 ms |
348 KB |
Output is correct |
| 29 |
Correct |
1 ms |
344 KB |
Output is correct |
| 30 |
Correct |
1 ms |
348 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
148 ms |
13300 KB |
Output is correct |
| 2 |
Correct |
158 ms |
13592 KB |
Output is correct |
| 3 |
Correct |
165 ms |
13644 KB |
Output is correct |
| 4 |
Correct |
166 ms |
13720 KB |
Output is correct |
| 5 |
Correct |
180 ms |
13648 KB |
Output is correct |
| 6 |
Correct |
150 ms |
13396 KB |
Output is correct |
| 7 |
Correct |
145 ms |
13396 KB |
Output is correct |
| 8 |
Correct |
162 ms |
13584 KB |
Output is correct |
| 9 |
Correct |
149 ms |
13396 KB |
Output is correct |
| 10 |
Correct |
156 ms |
13392 KB |
Output is correct |
| 11 |
Correct |
110 ms |
11828 KB |
Output is correct |
| 12 |
Correct |
116 ms |
12056 KB |
Output is correct |
| 13 |
Correct |
107 ms |
11604 KB |
Output is correct |
| 14 |
Correct |
109 ms |
11860 KB |
Output is correct |
| 15 |
Correct |
150 ms |
13652 KB |
Output is correct |
| 16 |
Correct |
132 ms |
11600 KB |
Output is correct |
| 17 |
Correct |
115 ms |
12036 KB |
Output is correct |
| 18 |
Correct |
150 ms |
13904 KB |
Output is correct |
| 19 |
Correct |
147 ms |
13168 KB |
Output is correct |
| 20 |
Correct |
114 ms |
11856 KB |
Output is correct |
| 21 |
Correct |
176 ms |
13720 KB |
Output is correct |
| 22 |
Correct |
181 ms |
13720 KB |
Output is correct |
| 23 |
Correct |
174 ms |
13720 KB |
Output is correct |
| 24 |
Correct |
172 ms |
13648 KB |
Output is correct |
| 25 |
Correct |
183 ms |
13704 KB |
Output is correct |
| 26 |
Correct |
210 ms |
13908 KB |
Output is correct |
| 27 |
Correct |
176 ms |
13908 KB |
Output is correct |
| 28 |
Correct |
178 ms |
13832 KB |
Output is correct |
| 29 |
Correct |
182 ms |
13852 KB |
Output is correct |
| 30 |
Correct |
176 ms |
13964 KB |
Output is correct |
| 31 |
Correct |
1 ms |
344 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 |
344 KB |
Output is correct |
| 36 |
Correct |
0 ms |
348 KB |
Output is correct |
| 37 |
Correct |
0 ms |
348 KB |
Output is correct |
| 38 |
Correct |
1 ms |
348 KB |
Output is correct |
| 39 |
Correct |
0 ms |
348 KB |
Output is correct |
| 40 |
Correct |
0 ms |
436 KB |
Output is correct |
| 41 |
Correct |
1 ms |
344 KB |
Output is correct |
| 42 |
Correct |
1 ms |
344 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 |
344 KB |
Output is correct |
| 46 |
Correct |
1 ms |
348 KB |
Output is correct |
| 47 |
Correct |
1 ms |
344 KB |
Output is correct |
| 48 |
Correct |
0 ms |
348 KB |
Output is correct |
| 49 |
Correct |
1 ms |
348 KB |
Output is correct |
| 50 |
Correct |
1 ms |
348 KB |
Output is correct |
| 51 |
Correct |
1 ms |
348 KB |
Output is correct |
| 52 |
Correct |
1 ms |
348 KB |
Output is correct |
| 53 |
Correct |
1 ms |
448 KB |
Output is correct |
| 54 |
Correct |
2 ms |
600 KB |
Output is correct |
| 55 |
Correct |
1 ms |
348 KB |
Output is correct |
| 56 |
Correct |
2 ms |
348 KB |
Output is correct |
| 57 |
Correct |
1 ms |
348 KB |
Output is correct |
| 58 |
Correct |
1 ms |
348 KB |
Output is correct |
| 59 |
Correct |
1 ms |
344 KB |
Output is correct |
| 60 |
Correct |
1 ms |
348 KB |
Output is correct |
| 61 |
Correct |
206 ms |
13448 KB |
Output is correct |
| 62 |
Correct |
212 ms |
13992 KB |
Output is correct |
| 63 |
Correct |
196 ms |
13820 KB |
Output is correct |
| 64 |
Correct |
215 ms |
13912 KB |
Output is correct |
| 65 |
Correct |
231 ms |
13904 KB |
Output is correct |
| 66 |
Correct |
214 ms |
13876 KB |
Output is correct |
| 67 |
Correct |
218 ms |
13668 KB |
Output is correct |
| 68 |
Correct |
179 ms |
13924 KB |
Output is correct |
| 69 |
Correct |
178 ms |
13652 KB |
Output is correct |
| 70 |
Correct |
175 ms |
13648 KB |
Output is correct |
