#include <bits/stdc++.h>
using namespace std;
typedef long double LD;
typedef long long LL;
typedef pair <LD, int> PLDI;
constexpr int NMAX = 3e5 + 5;
constexpr LD INF = 1LL * 1e14;
int N, K;
LD A[NMAX];
PLDI dp[NMAX][2];
PLDI Check (LD penalty) {
dp[1][0] = {0, 0};
dp[1][1] = {A[1] - penalty, 1};
for (int i = 2; 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] - penalty, dp[i-1][0].second + 1),
make_pair(dp[i-1][1].first + A[i], dp[i-1][1].second));
}
return max(dp[N][0], dp[N][1]);
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cin >> N >> K;
for (int i = 1; i <= N; ++ i )
cin >> A[i];
int cnt_op = 100;
LD st = 0, dr = INF;
while (st <= dr && cnt_op) {
LD mij = .5 * (st + dr);
-- cnt_op;
PLDI pos_ans = Check(mij);
if (pos_ans.second >= K)
st = mij;
else dr = mij;
}
PLDI ans = Check(dr);
LL val = round(ans.first + (LD)K * dr);
cout << val << '\n';
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
401 ms |
25828 KB |
Output is correct |
| 2 |
Correct |
447 ms |
26368 KB |
Output is correct |
| 3 |
Correct |
447 ms |
26704 KB |
Output is correct |
| 4 |
Correct |
478 ms |
26484 KB |
Output is correct |
| 5 |
Correct |
450 ms |
26444 KB |
Output is correct |
| 6 |
Correct |
467 ms |
25900 KB |
Output is correct |
| 7 |
Correct |
422 ms |
25888 KB |
Output is correct |
| 8 |
Correct |
421 ms |
26424 KB |
Output is correct |
| 9 |
Correct |
438 ms |
25952 KB |
Output is correct |
| 10 |
Correct |
414 ms |
26220 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
407 ms |
24356 KB |
Output is correct |
| 2 |
Correct |
418 ms |
24904 KB |
Output is correct |
| 3 |
Correct |
382 ms |
24336 KB |
Output is correct |
| 4 |
Correct |
393 ms |
24652 KB |
Output is correct |
| 5 |
Correct |
403 ms |
25932 KB |
Output is correct |
| 6 |
Correct |
380 ms |
24236 KB |
Output is correct |
| 7 |
Correct |
385 ms |
24904 KB |
Output is correct |
| 8 |
Correct |
419 ms |
26568 KB |
Output is correct |
| 9 |
Correct |
405 ms |
25740 KB |
Output is correct |
| 10 |
Correct |
399 ms |
24772 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
485 ms |
26568 KB |
Output is correct |
| 2 |
Correct |
481 ms |
26368 KB |
Output is correct |
| 3 |
Correct |
503 ms |
26480 KB |
Output is correct |
| 4 |
Correct |
473 ms |
26260 KB |
Output is correct |
| 5 |
Correct |
481 ms |
26568 KB |
Output is correct |
| 6 |
Correct |
483 ms |
26572 KB |
Output is correct |
| 7 |
Correct |
494 ms |
26636 KB |
Output is correct |
| 8 |
Correct |
488 ms |
26448 KB |
Output is correct |
| 9 |
Correct |
483 ms |
26804 KB |
Output is correct |
| 10 |
Correct |
495 ms |
26752 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
Output is correct |
| 2 |
Correct |
1 ms |
340 KB |
Output is correct |
| 3 |
Correct |
1 ms |
340 KB |
Output is correct |
| 4 |
Correct |
1 ms |
340 KB |
Output is correct |
| 5 |
Correct |
1 ms |
340 KB |
Output is correct |
| 6 |
Correct |
1 ms |
336 KB |
Output is correct |
| 7 |
Correct |
1 ms |
340 KB |
Output is correct |
| 8 |
Correct |
1 ms |
340 KB |
Output is correct |
| 9 |
Correct |
1 ms |
336 KB |
Output is correct |
| 10 |
Correct |
1 ms |
340 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
Output is correct |
| 2 |
Correct |
1 ms |
340 KB |
Output is correct |
| 3 |
Correct |
1 ms |
340 KB |
Output is correct |
| 4 |
Correct |
1 ms |
340 KB |
Output is correct |
| 5 |
Correct |
1 ms |
340 KB |
Output is correct |
| 6 |
Correct |
1 ms |
336 KB |
Output is correct |
| 7 |
Correct |
1 ms |
340 KB |
Output is correct |
| 8 |
Correct |
1 ms |
340 KB |
Output is correct |
| 9 |
Correct |
1 ms |
336 KB |
Output is correct |
| 10 |
Correct |
1 ms |
340 KB |
Output is correct |
| 11 |
Correct |
1 ms |
340 KB |
Output is correct |
| 12 |
Correct |
1 ms |
340 KB |
Output is correct |
| 13 |
Correct |
1 ms |
340 KB |
Output is correct |
| 14 |
Correct |
1 ms |
340 KB |
Output is correct |
| 15 |
Correct |
1 ms |
340 KB |
Output is correct |
| 16 |
Correct |
1 ms |
340 KB |
Output is correct |
| 17 |
Correct |
1 ms |
340 KB |
Output is correct |
| 18 |
Correct |
1 ms |
340 KB |
Output is correct |
| 19 |
Correct |
1 ms |
328 KB |
Output is correct |
| 20 |
Correct |
1 ms |
340 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
Output is correct |
| 2 |
Correct |
1 ms |
340 KB |
Output is correct |
| 3 |
Correct |
1 ms |
340 KB |
Output is correct |
| 4 |
Correct |
1 ms |
340 KB |
Output is correct |
| 5 |
Correct |
1 ms |
340 KB |
Output is correct |
| 6 |
Correct |
1 ms |
336 KB |
Output is correct |
| 7 |
Correct |
1 ms |
340 KB |
Output is correct |
| 8 |
Correct |
1 ms |
340 KB |
Output is correct |
| 9 |
Correct |
1 ms |
336 KB |
Output is correct |
| 10 |
Correct |
1 ms |
340 KB |
Output is correct |
| 11 |
Correct |
1 ms |
340 KB |
Output is correct |
| 12 |
Correct |
1 ms |
340 KB |
Output is correct |
| 13 |
Correct |
1 ms |
340 KB |
Output is correct |
| 14 |
Correct |
1 ms |
340 KB |
Output is correct |
| 15 |
Correct |
1 ms |
340 KB |
Output is correct |
| 16 |
Correct |
1 ms |
340 KB |
Output is correct |
| 17 |
Correct |
1 ms |
340 KB |
Output is correct |
| 18 |
Correct |
1 ms |
340 KB |
Output is correct |
| 19 |
Correct |
1 ms |
328 KB |
Output is correct |
| 20 |
Correct |
1 ms |
340 KB |
Output is correct |
| 21 |
Correct |
4 ms |
468 KB |
Output is correct |
| 22 |
Correct |
5 ms |
468 KB |
Output is correct |
| 23 |
Correct |
4 ms |
468 KB |
Output is correct |
| 24 |
Correct |
4 ms |
524 KB |
Output is correct |
| 25 |
Correct |
5 ms |
468 KB |
Output is correct |
| 26 |
Correct |
4 ms |
468 KB |
Output is correct |
| 27 |
Correct |
4 ms |
468 KB |
Output is correct |
| 28 |
Correct |
4 ms |
468 KB |
Output is correct |
| 29 |
Correct |
5 ms |
468 KB |
Output is correct |
| 30 |
Correct |
4 ms |
468 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
401 ms |
25828 KB |
Output is correct |
| 2 |
Correct |
447 ms |
26368 KB |
Output is correct |
| 3 |
Correct |
447 ms |
26704 KB |
Output is correct |
| 4 |
Correct |
478 ms |
26484 KB |
Output is correct |
| 5 |
Correct |
450 ms |
26444 KB |
Output is correct |
| 6 |
Correct |
467 ms |
25900 KB |
Output is correct |
| 7 |
Correct |
422 ms |
25888 KB |
Output is correct |
| 8 |
Correct |
421 ms |
26424 KB |
Output is correct |
| 9 |
Correct |
438 ms |
25952 KB |
Output is correct |
| 10 |
Correct |
414 ms |
26220 KB |
Output is correct |
| 11 |
Correct |
407 ms |
24356 KB |
Output is correct |
| 12 |
Correct |
418 ms |
24904 KB |
Output is correct |
| 13 |
Correct |
382 ms |
24336 KB |
Output is correct |
| 14 |
Correct |
393 ms |
24652 KB |
Output is correct |
| 15 |
Correct |
403 ms |
25932 KB |
Output is correct |
| 16 |
Correct |
380 ms |
24236 KB |
Output is correct |
| 17 |
Correct |
385 ms |
24904 KB |
Output is correct |
| 18 |
Correct |
419 ms |
26568 KB |
Output is correct |
| 19 |
Correct |
405 ms |
25740 KB |
Output is correct |
| 20 |
Correct |
399 ms |
24772 KB |
Output is correct |
| 21 |
Correct |
485 ms |
26568 KB |
Output is correct |
| 22 |
Correct |
481 ms |
26368 KB |
Output is correct |
| 23 |
Correct |
503 ms |
26480 KB |
Output is correct |
| 24 |
Correct |
473 ms |
26260 KB |
Output is correct |
| 25 |
Correct |
481 ms |
26568 KB |
Output is correct |
| 26 |
Correct |
483 ms |
26572 KB |
Output is correct |
| 27 |
Correct |
494 ms |
26636 KB |
Output is correct |
| 28 |
Correct |
488 ms |
26448 KB |
Output is correct |
| 29 |
Correct |
483 ms |
26804 KB |
Output is correct |
| 30 |
Correct |
495 ms |
26752 KB |
Output is correct |
| 31 |
Correct |
1 ms |
340 KB |
Output is correct |
| 32 |
Correct |
1 ms |
340 KB |
Output is correct |
| 33 |
Correct |
1 ms |
340 KB |
Output is correct |
| 34 |
Correct |
1 ms |
340 KB |
Output is correct |
| 35 |
Correct |
1 ms |
340 KB |
Output is correct |
| 36 |
Correct |
1 ms |
336 KB |
Output is correct |
| 37 |
Correct |
1 ms |
340 KB |
Output is correct |
| 38 |
Correct |
1 ms |
340 KB |
Output is correct |
| 39 |
Correct |
1 ms |
336 KB |
Output is correct |
| 40 |
Correct |
1 ms |
340 KB |
Output is correct |
| 41 |
Correct |
1 ms |
340 KB |
Output is correct |
| 42 |
Correct |
1 ms |
340 KB |
Output is correct |
| 43 |
Correct |
1 ms |
340 KB |
Output is correct |
| 44 |
Correct |
1 ms |
340 KB |
Output is correct |
| 45 |
Correct |
1 ms |
340 KB |
Output is correct |
| 46 |
Correct |
1 ms |
340 KB |
Output is correct |
| 47 |
Correct |
1 ms |
340 KB |
Output is correct |
| 48 |
Correct |
1 ms |
340 KB |
Output is correct |
| 49 |
Correct |
1 ms |
328 KB |
Output is correct |
| 50 |
Correct |
1 ms |
340 KB |
Output is correct |
| 51 |
Correct |
4 ms |
468 KB |
Output is correct |
| 52 |
Correct |
5 ms |
468 KB |
Output is correct |
| 53 |
Correct |
4 ms |
468 KB |
Output is correct |
| 54 |
Correct |
4 ms |
524 KB |
Output is correct |
| 55 |
Correct |
5 ms |
468 KB |
Output is correct |
| 56 |
Correct |
4 ms |
468 KB |
Output is correct |
| 57 |
Correct |
4 ms |
468 KB |
Output is correct |
| 58 |
Correct |
4 ms |
468 KB |
Output is correct |
| 59 |
Correct |
5 ms |
468 KB |
Output is correct |
| 60 |
Correct |
4 ms |
468 KB |
Output is correct |
| 61 |
Correct |
660 ms |
26260 KB |
Output is correct |
| 62 |
Correct |
651 ms |
26912 KB |
Output is correct |
| 63 |
Correct |
557 ms |
26044 KB |
Output is correct |
| 64 |
Correct |
736 ms |
26656 KB |
Output is correct |
| 65 |
Correct |
671 ms |
26752 KB |
Output is correct |
| 66 |
Correct |
655 ms |
26468 KB |
Output is correct |
| 67 |
Correct |
655 ms |
26196 KB |
Output is correct |
| 68 |
Correct |
499 ms |
26712 KB |
Output is correct |
| 69 |
Correct |
476 ms |
26148 KB |
Output is correct |
| 70 |
Correct |
475 ms |
25932 KB |
Output is correct |
