#include <bits/stdc++.h>
using namespace std;
#define ll long long
const int MAX = 300000;
const ll INF = (ll)300000 * 1000000000;
int n, k, A[MAX + 1];
pair<ll, ll> dp[MAX + 1][2];
pair<ll, ll> better(pair<ll, ll> a, pair<ll, ll> b) {
if (a.first == b.first){ return (a.second < b.second ? a : b); }
return (a.first > b.first ? a : b);
}
pair<ll, ll> solveLambda(ll lmb){
dp[0][0] = {0, 0};
dp[0][1] = {-INF, 0};
for (int i = 1; i <= n; i++) {
dp[i][0] = better(dp[i - 1][0], dp[i - 1][1]);
dp[i][1] =
better({dp[i - 1][0].first + A[i] - lmb, dp[i - 1][0].second + 1},
{dp[i - 1][1].first + A[i], dp[i - 1][1].second});
}
return better(dp[n][0], dp[n][1]);
}
int main() {
cin >> n >> k;
for (int i = 1; i <= n; i++) cin >> A[i];
ll lo = 0, hi = INF;
while (lo < hi) {
ll mid = (lo + hi) / 2;
solveLambda(mid).second <= k ? hi = mid : lo = mid + 1;
}
cout << solveLambda(lo).first + lo * k << endl;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
216 ms |
13504 KB |
Output is correct |
| 2 |
Correct |
220 ms |
13588 KB |
Output is correct |
| 3 |
Correct |
238 ms |
13712 KB |
Output is correct |
| 4 |
Correct |
226 ms |
13712 KB |
Output is correct |
| 5 |
Correct |
219 ms |
13652 KB |
Output is correct |
| 6 |
Correct |
230 ms |
13712 KB |
Output is correct |
| 7 |
Correct |
216 ms |
13648 KB |
Output is correct |
| 8 |
Correct |
221 ms |
13824 KB |
Output is correct |
| 9 |
Correct |
223 ms |
13648 KB |
Output is correct |
| 10 |
Correct |
220 ms |
13648 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
176 ms |
12068 KB |
Output is correct |
| 2 |
Correct |
177 ms |
12116 KB |
Output is correct |
| 3 |
Correct |
174 ms |
11856 KB |
Output is correct |
| 4 |
Correct |
185 ms |
12124 KB |
Output is correct |
| 5 |
Correct |
223 ms |
13588 KB |
Output is correct |
| 6 |
Correct |
174 ms |
11856 KB |
Output is correct |
| 7 |
Correct |
185 ms |
12120 KB |
Output is correct |
| 8 |
Correct |
221 ms |
13652 KB |
Output is correct |
| 9 |
Correct |
236 ms |
13648 KB |
Output is correct |
| 10 |
Correct |
182 ms |
12100 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
216 ms |
13904 KB |
Output is correct |
| 2 |
Correct |
215 ms |
13860 KB |
Output is correct |
| 3 |
Correct |
215 ms |
13976 KB |
Output is correct |
| 4 |
Correct |
212 ms |
13940 KB |
Output is correct |
| 5 |
Correct |
214 ms |
13904 KB |
Output is correct |
| 6 |
Correct |
215 ms |
13972 KB |
Output is correct |
| 7 |
Correct |
216 ms |
14020 KB |
Output is correct |
| 8 |
Correct |
214 ms |
14164 KB |
Output is correct |
| 9 |
Correct |
217 ms |
13908 KB |
Output is correct |
| 10 |
Correct |
217 ms |
14016 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 2 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 3 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 4 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 5 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 6 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 7 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 8 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 9 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 10 |
Correct |
1 ms |
2396 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 2 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 3 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 4 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 5 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 6 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 7 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 8 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 9 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 10 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 11 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 12 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 13 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 14 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 15 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 16 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 17 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 18 |
Correct |
1 ms |
2648 KB |
Output is correct |
| 19 |
Correct |
1 ms |
2492 KB |
Output is correct |
| 20 |
Correct |
1 ms |
2392 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 2 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 3 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 4 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 5 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 6 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 7 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 8 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 9 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 10 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 11 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 12 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 13 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 14 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 15 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 16 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 17 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 18 |
Correct |
1 ms |
2648 KB |
Output is correct |
| 19 |
Correct |
1 ms |
2492 KB |
Output is correct |
| 20 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 21 |
Correct |
2 ms |
2396 KB |
Output is correct |
| 22 |
Correct |
2 ms |
2396 KB |
Output is correct |
| 23 |
Correct |
2 ms |
2396 KB |
Output is correct |
| 24 |
Correct |
2 ms |
2396 KB |
Output is correct |
| 25 |
Correct |
2 ms |
2396 KB |
Output is correct |
| 26 |
Correct |
2 ms |
2396 KB |
Output is correct |
| 27 |
Correct |
2 ms |
2508 KB |
Output is correct |
| 28 |
Correct |
2 ms |
2396 KB |
Output is correct |
| 29 |
Correct |
2 ms |
2396 KB |
Output is correct |
| 30 |
Correct |
2 ms |
2396 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
216 ms |
13504 KB |
Output is correct |
| 2 |
Correct |
220 ms |
13588 KB |
Output is correct |
| 3 |
Correct |
238 ms |
13712 KB |
Output is correct |
| 4 |
Correct |
226 ms |
13712 KB |
Output is correct |
| 5 |
Correct |
219 ms |
13652 KB |
Output is correct |
| 6 |
Correct |
230 ms |
13712 KB |
Output is correct |
| 7 |
Correct |
216 ms |
13648 KB |
Output is correct |
| 8 |
Correct |
221 ms |
13824 KB |
Output is correct |
| 9 |
Correct |
223 ms |
13648 KB |
Output is correct |
| 10 |
Correct |
220 ms |
13648 KB |
Output is correct |
| 11 |
Correct |
176 ms |
12068 KB |
Output is correct |
| 12 |
Correct |
177 ms |
12116 KB |
Output is correct |
| 13 |
Correct |
174 ms |
11856 KB |
Output is correct |
| 14 |
Correct |
185 ms |
12124 KB |
Output is correct |
| 15 |
Correct |
223 ms |
13588 KB |
Output is correct |
| 16 |
Correct |
174 ms |
11856 KB |
Output is correct |
| 17 |
Correct |
185 ms |
12120 KB |
Output is correct |
| 18 |
Correct |
221 ms |
13652 KB |
Output is correct |
| 19 |
Correct |
236 ms |
13648 KB |
Output is correct |
| 20 |
Correct |
182 ms |
12100 KB |
Output is correct |
| 21 |
Correct |
216 ms |
13904 KB |
Output is correct |
| 22 |
Correct |
215 ms |
13860 KB |
Output is correct |
| 23 |
Correct |
215 ms |
13976 KB |
Output is correct |
| 24 |
Correct |
212 ms |
13940 KB |
Output is correct |
| 25 |
Correct |
214 ms |
13904 KB |
Output is correct |
| 26 |
Correct |
215 ms |
13972 KB |
Output is correct |
| 27 |
Correct |
216 ms |
14020 KB |
Output is correct |
| 28 |
Correct |
214 ms |
14164 KB |
Output is correct |
| 29 |
Correct |
217 ms |
13908 KB |
Output is correct |
| 30 |
Correct |
217 ms |
14016 KB |
Output is correct |
| 31 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 32 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 33 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 34 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 35 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 36 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 37 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 38 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 39 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 40 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 41 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 42 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 43 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 44 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 45 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 46 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 47 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 48 |
Correct |
1 ms |
2648 KB |
Output is correct |
| 49 |
Correct |
1 ms |
2492 KB |
Output is correct |
| 50 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 51 |
Correct |
2 ms |
2396 KB |
Output is correct |
| 52 |
Correct |
2 ms |
2396 KB |
Output is correct |
| 53 |
Correct |
2 ms |
2396 KB |
Output is correct |
| 54 |
Correct |
2 ms |
2396 KB |
Output is correct |
| 55 |
Correct |
2 ms |
2396 KB |
Output is correct |
| 56 |
Correct |
2 ms |
2396 KB |
Output is correct |
| 57 |
Correct |
2 ms |
2508 KB |
Output is correct |
| 58 |
Correct |
2 ms |
2396 KB |
Output is correct |
| 59 |
Correct |
2 ms |
2396 KB |
Output is correct |
| 60 |
Correct |
2 ms |
2396 KB |
Output is correct |
| 61 |
Correct |
214 ms |
14160 KB |
Output is correct |
| 62 |
Correct |
226 ms |
14040 KB |
Output is correct |
| 63 |
Correct |
216 ms |
14164 KB |
Output is correct |
| 64 |
Correct |
217 ms |
13856 KB |
Output is correct |
| 65 |
Correct |
219 ms |
13976 KB |
Output is correct |
| 66 |
Correct |
224 ms |
14224 KB |
Output is correct |
| 67 |
Correct |
214 ms |
13904 KB |
Output is correct |
| 68 |
Correct |
215 ms |
13908 KB |
Output is correct |
| 69 |
Correct |
218 ms |
13840 KB |
Output is correct |
| 70 |
Correct |
209 ms |
13712 KB |
Output is correct |
