#include <cstdio>
#include <cmath>
#include <climits>
#include <functional>
#include <numeric>
#include <cstring>
#include <cassert>
#include <string>
#include <deque>
#include <vector>
#include <map>
#include <queue>
#include <algorithm>
#include <iostream>
#include <utility>
using namespace std;
using ll=long long;
#define N 300005
#define ALL(x) x.begin(), x.end()
int n, k, a[N];
long long p[N];
pair<long double, int> dp[N][2];
const long double EPS = 1e-3;
int check(long double lambda)
{
dp[0][1] = make_pair(-1e18, 0);
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] - lambda, 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]).second >= k;
}
int main()
{
cin.tie(0)->sync_with_stdio(0);
cin >> n >> k;
for (int i = 1; i <= n; ++i) cin >> a[i];
long double l = 0, r = 1e18;
while (l + EPS < r)
{
long double y = (l+r)/2;
if (check(y)) l = y;
else r = y;
}
check(l);
cout << (long long)round(k * l + max(dp[n][0], dp[n][1]).first);
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
372 ms |
20308 KB |
Output is correct |
2 |
Correct |
375 ms |
23116 KB |
Output is correct |
3 |
Correct |
382 ms |
25424 KB |
Output is correct |
4 |
Correct |
376 ms |
23128 KB |
Output is correct |
5 |
Correct |
378 ms |
23284 KB |
Output is correct |
6 |
Correct |
369 ms |
22868 KB |
Output is correct |
7 |
Correct |
369 ms |
23036 KB |
Output is correct |
8 |
Correct |
375 ms |
23132 KB |
Output is correct |
9 |
Correct |
371 ms |
22832 KB |
Output is correct |
10 |
Correct |
373 ms |
23088 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
373 ms |
20236 KB |
Output is correct |
2 |
Correct |
381 ms |
23260 KB |
Output is correct |
3 |
Correct |
374 ms |
21328 KB |
Output is correct |
4 |
Correct |
370 ms |
21340 KB |
Output is correct |
5 |
Correct |
380 ms |
22892 KB |
Output is correct |
6 |
Correct |
370 ms |
21340 KB |
Output is correct |
7 |
Correct |
377 ms |
23552 KB |
Output is correct |
8 |
Correct |
388 ms |
25172 KB |
Output is correct |
9 |
Correct |
375 ms |
23020 KB |
Output is correct |
10 |
Correct |
373 ms |
21340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
395 ms |
20048 KB |
Output is correct |
2 |
Correct |
405 ms |
23376 KB |
Output is correct |
3 |
Correct |
396 ms |
23124 KB |
Output is correct |
4 |
Correct |
390 ms |
23376 KB |
Output is correct |
5 |
Correct |
393 ms |
23268 KB |
Output is correct |
6 |
Correct |
399 ms |
23300 KB |
Output is correct |
7 |
Correct |
399 ms |
25168 KB |
Output is correct |
8 |
Correct |
397 ms |
23124 KB |
Output is correct |
9 |
Correct |
406 ms |
25372 KB |
Output is correct |
10 |
Correct |
401 ms |
25364 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 |
1 ms |
468 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 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 |
344 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 |
1 ms |
468 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 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 |
344 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
1 ms |
468 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
464 KB |
Output is correct |
18 |
Correct |
1 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 |
1 ms |
468 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 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 |
344 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
1 ms |
468 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
464 KB |
Output is correct |
18 |
Correct |
1 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 |
3 ms |
604 KB |
Output is correct |
22 |
Correct |
3 ms |
604 KB |
Output is correct |
23 |
Correct |
3 ms |
604 KB |
Output is correct |
24 |
Correct |
3 ms |
616 KB |
Output is correct |
25 |
Correct |
3 ms |
600 KB |
Output is correct |
26 |
Correct |
4 ms |
604 KB |
Output is correct |
27 |
Correct |
3 ms |
604 KB |
Output is correct |
28 |
Correct |
3 ms |
604 KB |
Output is correct |
29 |
Correct |
3 ms |
860 KB |
Output is correct |
30 |
Correct |
3 ms |
480 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
372 ms |
20308 KB |
Output is correct |
2 |
Correct |
375 ms |
23116 KB |
Output is correct |
3 |
Correct |
382 ms |
25424 KB |
Output is correct |
4 |
Correct |
376 ms |
23128 KB |
Output is correct |
5 |
Correct |
378 ms |
23284 KB |
Output is correct |
6 |
Correct |
369 ms |
22868 KB |
Output is correct |
7 |
Correct |
369 ms |
23036 KB |
Output is correct |
8 |
Correct |
375 ms |
23132 KB |
Output is correct |
9 |
Correct |
371 ms |
22832 KB |
Output is correct |
10 |
Correct |
373 ms |
23088 KB |
Output is correct |
11 |
Correct |
373 ms |
20236 KB |
Output is correct |
12 |
Correct |
381 ms |
23260 KB |
Output is correct |
13 |
Correct |
374 ms |
21328 KB |
Output is correct |
14 |
Correct |
370 ms |
21340 KB |
Output is correct |
15 |
Correct |
380 ms |
22892 KB |
Output is correct |
16 |
Correct |
370 ms |
21340 KB |
Output is correct |
17 |
Correct |
377 ms |
23552 KB |
Output is correct |
18 |
Correct |
388 ms |
25172 KB |
Output is correct |
19 |
Correct |
375 ms |
23020 KB |
Output is correct |
20 |
Correct |
373 ms |
21340 KB |
Output is correct |
21 |
Correct |
395 ms |
20048 KB |
Output is correct |
22 |
Correct |
405 ms |
23376 KB |
Output is correct |
23 |
Correct |
396 ms |
23124 KB |
Output is correct |
24 |
Correct |
390 ms |
23376 KB |
Output is correct |
25 |
Correct |
393 ms |
23268 KB |
Output is correct |
26 |
Correct |
399 ms |
23300 KB |
Output is correct |
27 |
Correct |
399 ms |
25168 KB |
Output is correct |
28 |
Correct |
397 ms |
23124 KB |
Output is correct |
29 |
Correct |
406 ms |
25372 KB |
Output is correct |
30 |
Correct |
401 ms |
25364 KB |
Output is correct |
31 |
Correct |
1 ms |
344 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
1 ms |
468 KB |
Output is correct |
34 |
Correct |
0 ms |
348 KB |
Output is correct |
35 |
Correct |
0 ms |
348 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 |
344 KB |
Output is correct |
41 |
Correct |
1 ms |
348 KB |
Output is correct |
42 |
Correct |
1 ms |
348 KB |
Output is correct |
43 |
Correct |
1 ms |
348 KB |
Output is correct |
44 |
Correct |
1 ms |
468 KB |
Output is correct |
45 |
Correct |
1 ms |
348 KB |
Output is correct |
46 |
Correct |
1 ms |
348 KB |
Output is correct |
47 |
Correct |
1 ms |
464 KB |
Output is correct |
48 |
Correct |
1 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 |
3 ms |
604 KB |
Output is correct |
52 |
Correct |
3 ms |
604 KB |
Output is correct |
53 |
Correct |
3 ms |
604 KB |
Output is correct |
54 |
Correct |
3 ms |
616 KB |
Output is correct |
55 |
Correct |
3 ms |
600 KB |
Output is correct |
56 |
Correct |
4 ms |
604 KB |
Output is correct |
57 |
Correct |
3 ms |
604 KB |
Output is correct |
58 |
Correct |
3 ms |
604 KB |
Output is correct |
59 |
Correct |
3 ms |
860 KB |
Output is correct |
60 |
Correct |
3 ms |
480 KB |
Output is correct |
61 |
Correct |
484 ms |
23120 KB |
Output is correct |
62 |
Correct |
489 ms |
25604 KB |
Output is correct |
63 |
Correct |
420 ms |
23208 KB |
Output is correct |
64 |
Correct |
483 ms |
23288 KB |
Output is correct |
65 |
Correct |
474 ms |
23324 KB |
Output is correct |
66 |
Correct |
466 ms |
23124 KB |
Output is correct |
67 |
Correct |
460 ms |
23212 KB |
Output is correct |
68 |
Correct |
399 ms |
23296 KB |
Output is correct |
69 |
Correct |
391 ms |
23208 KB |
Output is correct |
70 |
Correct |
385 ms |
23196 KB |
Output is correct |