Submission #829940

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
829940	2023-08-18T16:02:45 Z	NK_	Feast (NOI19_feast)	C++17	100 / 100	597 ms	4436 KB

feast

// Success consists of going from failure to failure without loss of enthusiasm
#include <bits/stdc++.h>

using namespace std;
 
#define nl '\n'
#define pb push_back
#define mp make_pair
#define f first
#define s second
#define sz(x) int(x.size())
 
template<class T> using V = vector<T>;
using vi = V<int>;
using ll = long long;
using pi = pair<int, int>;
using vpi = V<pi>;
using vl = V<ll>;
using db = long double;

// const int INF = 1e9 + 10;
const db EPS = 1e-3;
const ll INFL = ll(1e15);

using T = pair<db, int>;
int main() {
	cin.tie(0)->sync_with_stdio(0);
	
	int N, K; cin >> N >> K;
	vi A(N); for(auto& x : A) cin >> x;

	V<T> dp(2); 
	auto check = [&](db lambda) {
		dp[0] = {0, 0}; dp[1] = {-db(INFL), 0};
		for(int i = 0; i < N; i++) {
			V<T> ndp(2); ndp[0] = max(dp[0], dp[1]);
			ndp[1] = max(
				mp(dp[0].f + A[i] - lambda, dp[0].s + 1), 
				mp(dp[1].f + A[i], dp[1].s)
			);
			dp.swap(ndp);
		} 
		return max(dp[0], dp[1]).s >= K;
	};

	db lo = 0, hi = INFL;
	while(lo + EPS < hi) {
		db mid = (lo + hi) / 2;
		if (check(mid)) lo = mid;
		else hi = mid;
	}

	check(lo);/* cout << lo << endl;*/
	cout << llroundl(lo * db(K) + max(dp[0], dp[1]).f) << nl;

    return 0;
}

Subtask #1

4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	467 ms	1364 KB	Output is correct
2	Correct	478 ms	4308 KB	Output is correct
3	Correct	497 ms	4296 KB	Output is correct
4	Correct	490 ms	4292 KB	Output is correct
5	Correct	481 ms	4300 KB	Output is correct
6	Correct	472 ms	4148 KB	Output is correct
7	Correct	468 ms	4180 KB	Output is correct
8	Correct	484 ms	4280 KB	Output is correct
9	Correct	471 ms	4272 KB	Output is correct
10	Correct	485 ms	4284 KB	Output is correct

Subtask #2

8.0 / 8.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	466 ms	1364 KB	Output is correct
2	Correct	477 ms	2644 KB	Output is correct
3	Correct	471 ms	2516 KB	Output is correct
4	Correct	473 ms	2516 KB	Output is correct
5	Correct	477 ms	4172 KB	Output is correct
6	Correct	467 ms	2488 KB	Output is correct
7	Correct	479 ms	2512 KB	Output is correct
8	Correct	501 ms	4300 KB	Output is correct
9	Correct	470 ms	4172 KB	Output is correct
10	Correct	482 ms	2508 KB	Output is correct

Subtask #3

18.0 / 18.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	519 ms	1364 KB	Output is correct
2	Correct	514 ms	4396 KB	Output is correct
3	Correct	539 ms	4428 KB	Output is correct
4	Correct	519 ms	4428 KB	Output is correct
5	Correct	536 ms	4416 KB	Output is correct
6	Correct	527 ms	4436 KB	Output is correct
7	Correct	540 ms	4420 KB	Output is correct
8	Correct	514 ms	4428 KB	Output is correct
9	Correct	528 ms	4436 KB	Output is correct
10	Correct	525 ms	4432 KB	Output is correct

Subtask #4

10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	212 KB	Output is correct
2	Correct	1 ms	212 KB	Output is correct
3	Correct	1 ms	212 KB	Output is correct
4	Correct	1 ms	212 KB	Output is correct
5	Correct	0 ms	212 KB	Output is correct
6	Correct	1 ms	212 KB	Output is correct
7	Correct	1 ms	212 KB	Output is correct
8	Correct	1 ms	212 KB	Output is correct
9	Correct	1 ms	212 KB	Output is correct
10	Correct	0 ms	212 KB	Output is correct

Subtask #5

11.0 / 11.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	212 KB	Output is correct
2	Correct	1 ms	212 KB	Output is correct
3	Correct	1 ms	212 KB	Output is correct
4	Correct	1 ms	212 KB	Output is correct
5	Correct	0 ms	212 KB	Output is correct
6	Correct	1 ms	212 KB	Output is correct
7	Correct	1 ms	212 KB	Output is correct
8	Correct	1 ms	212 KB	Output is correct
9	Correct	1 ms	212 KB	Output is correct
10	Correct	0 ms	212 KB	Output is correct
11	Correct	1 ms	212 KB	Output is correct
12	Correct	1 ms	212 KB	Output is correct
13	Correct	1 ms	212 KB	Output is correct
14	Correct	1 ms	212 KB	Output is correct
15	Correct	1 ms	320 KB	Output is correct
16	Correct	1 ms	212 KB	Output is correct
17	Correct	1 ms	320 KB	Output is correct
18	Correct	1 ms	212 KB	Output is correct
19	Correct	1 ms	316 KB	Output is correct
20	Correct	1 ms	316 KB	Output is correct

Subtask #6

20.0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	212 KB	Output is correct
2	Correct	1 ms	212 KB	Output is correct
3	Correct	1 ms	212 KB	Output is correct
4	Correct	1 ms	212 KB	Output is correct
5	Correct	0 ms	212 KB	Output is correct
6	Correct	1 ms	212 KB	Output is correct
7	Correct	1 ms	212 KB	Output is correct
8	Correct	1 ms	212 KB	Output is correct
9	Correct	1 ms	212 KB	Output is correct
10	Correct	0 ms	212 KB	Output is correct
11	Correct	1 ms	212 KB	Output is correct
12	Correct	1 ms	212 KB	Output is correct
13	Correct	1 ms	212 KB	Output is correct
14	Correct	1 ms	212 KB	Output is correct
15	Correct	1 ms	320 KB	Output is correct
16	Correct	1 ms	212 KB	Output is correct
17	Correct	1 ms	320 KB	Output is correct
18	Correct	1 ms	212 KB	Output is correct
19	Correct	1 ms	316 KB	Output is correct
20	Correct	1 ms	316 KB	Output is correct
21	Correct	4 ms	340 KB	Output is correct
22	Correct	4 ms	340 KB	Output is correct
23	Correct	5 ms	468 KB	Output is correct
24	Correct	4 ms	340 KB	Output is correct
25	Correct	4 ms	328 KB	Output is correct
26	Correct	4 ms	340 KB	Output is correct
27	Correct	4 ms	340 KB	Output is correct
28	Correct	4 ms	340 KB	Output is correct
29	Correct	4 ms	352 KB	Output is correct
30	Correct	6 ms	344 KB	Output is correct

Subtask #7

29.0 / 29.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	467 ms	1364 KB	Output is correct
2	Correct	478 ms	4308 KB	Output is correct
3	Correct	497 ms	4296 KB	Output is correct
4	Correct	490 ms	4292 KB	Output is correct
5	Correct	481 ms	4300 KB	Output is correct
6	Correct	472 ms	4148 KB	Output is correct
7	Correct	468 ms	4180 KB	Output is correct
8	Correct	484 ms	4280 KB	Output is correct
9	Correct	471 ms	4272 KB	Output is correct
10	Correct	485 ms	4284 KB	Output is correct
11	Correct	466 ms	1364 KB	Output is correct
12	Correct	477 ms	2644 KB	Output is correct
13	Correct	471 ms	2516 KB	Output is correct
14	Correct	473 ms	2516 KB	Output is correct
15	Correct	477 ms	4172 KB	Output is correct
16	Correct	467 ms	2488 KB	Output is correct
17	Correct	479 ms	2512 KB	Output is correct
18	Correct	501 ms	4300 KB	Output is correct
19	Correct	470 ms	4172 KB	Output is correct
20	Correct	482 ms	2508 KB	Output is correct
21	Correct	519 ms	1364 KB	Output is correct
22	Correct	514 ms	4396 KB	Output is correct
23	Correct	539 ms	4428 KB	Output is correct
24	Correct	519 ms	4428 KB	Output is correct
25	Correct	536 ms	4416 KB	Output is correct
26	Correct	527 ms	4436 KB	Output is correct
27	Correct	540 ms	4420 KB	Output is correct
28	Correct	514 ms	4428 KB	Output is correct
29	Correct	528 ms	4436 KB	Output is correct
30	Correct	525 ms	4432 KB	Output is correct
31	Correct	0 ms	212 KB	Output is correct
32	Correct	1 ms	212 KB	Output is correct
33	Correct	1 ms	212 KB	Output is correct
34	Correct	1 ms	212 KB	Output is correct
35	Correct	0 ms	212 KB	Output is correct
36	Correct	1 ms	212 KB	Output is correct
37	Correct	1 ms	212 KB	Output is correct
38	Correct	1 ms	212 KB	Output is correct
39	Correct	1 ms	212 KB	Output is correct
40	Correct	0 ms	212 KB	Output is correct
41	Correct	1 ms	212 KB	Output is correct
42	Correct	1 ms	212 KB	Output is correct
43	Correct	1 ms	212 KB	Output is correct
44	Correct	1 ms	212 KB	Output is correct
45	Correct	1 ms	320 KB	Output is correct
46	Correct	1 ms	212 KB	Output is correct
47	Correct	1 ms	320 KB	Output is correct
48	Correct	1 ms	212 KB	Output is correct
49	Correct	1 ms	316 KB	Output is correct
50	Correct	1 ms	316 KB	Output is correct
51	Correct	4 ms	340 KB	Output is correct
52	Correct	4 ms	340 KB	Output is correct
53	Correct	5 ms	468 KB	Output is correct
54	Correct	4 ms	340 KB	Output is correct
55	Correct	4 ms	328 KB	Output is correct
56	Correct	4 ms	340 KB	Output is correct
57	Correct	4 ms	340 KB	Output is correct
58	Correct	4 ms	340 KB	Output is correct
59	Correct	4 ms	352 KB	Output is correct
60	Correct	6 ms	344 KB	Output is correct
61	Correct	566 ms	4396 KB	Output is correct
62	Correct	578 ms	4424 KB	Output is correct
63	Correct	535 ms	4436 KB	Output is correct
64	Correct	583 ms	4404 KB	Output is correct
65	Correct	597 ms	4420 KB	Output is correct
66	Correct	586 ms	4404 KB	Output is correct
67	Correct	584 ms	4428 KB	Output is correct
68	Correct	528 ms	4436 KB	Output is correct
69	Correct	511 ms	4428 KB	Output is correct
70	Correct	510 ms	4396 KB	Output is correct