Submission #739796

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
739796	2023-05-11T10:05:24 Z	NeroZein	Feast (NOI19_feast)	C++17	100 / 100	148 ms	13964 KB

feast

#include "bits/stdc++.h"
using namespace std;
 
#ifdef Nero
#include "Deb.h"
#else
#define deb(...)
#endif
 
const int N = 300005;
 
int n, k;
int a[N];
pair<long long,int> dp[N][2];
pair<long long,int> solve (long long cost) {
	dp[0][0] = {0LL, 0};
	dp[0][1] = {-1e15, -N};
	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] - cost, 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]); 
}
 
signed main(){
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	cin >> n >> k;
	for (int i = 1; i <= n; ++i) {
		cin >> a[i];
	}
	long long l = 0, r = (long long) N * 1e9;
	while (l < r) {
		long long mid = (l + r) >> 1;
		if (solve(mid).second >= k) {
			l = mid + 1;
		} else {
			r = mid;
		}
	}
	if (solve(l - 1).second == k) {
      cout << solve(l - 1).first + (l - 1) * k << '\n';
    } else {
      cout << solve(l).first + l * k << '\n';
    }
	return 0;
}

Subtask #1

4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	89 ms	10544 KB	Output is correct
2	Correct	90 ms	13600 KB	Output is correct
3	Correct	89 ms	13744 KB	Output is correct
4	Correct	92 ms	13644 KB	Output is correct
5	Correct	93 ms	13712 KB	Output is correct
6	Correct	88 ms	13256 KB	Output is correct
7	Correct	86 ms	13260 KB	Output is correct
8	Correct	85 ms	13564 KB	Output is correct
9	Correct	86 ms	13312 KB	Output is correct
10	Correct	84 ms	13524 KB	Output is correct

Subtask #2

8.0 / 8.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	74 ms	10612 KB	Output is correct
2	Correct	83 ms	10848 KB	Output is correct
3	Correct	79 ms	10604 KB	Output is correct
4	Correct	77 ms	10708 KB	Output is correct
5	Correct	92 ms	13476 KB	Output is correct
6	Correct	83 ms	11676 KB	Output is correct
7	Correct	81 ms	11940 KB	Output is correct
8	Correct	87 ms	13616 KB	Output is correct
9	Correct	83 ms	13316 KB	Output is correct
10	Correct	86 ms	11936 KB	Output is correct

Subtask #3

18.0 / 18.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	100 ms	10752 KB	Output is correct
2	Correct	102 ms	10596 KB	Output is correct
3	Correct	106 ms	10736 KB	Output is correct
4	Correct	100 ms	10572 KB	Output is correct
5	Correct	98 ms	10708 KB	Output is correct
6	Correct	106 ms	10700 KB	Output is correct
7	Correct	104 ms	10828 KB	Output is correct
8	Correct	102 ms	10700 KB	Output is correct
9	Correct	107 ms	10856 KB	Output is correct
10	Correct	104 ms	10780 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	0 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	0 ms	212 KB	Output is correct
8	Correct	1 ms	212 KB	Output is correct
9	Correct	0 ms	340 KB	Output is correct
10	Correct	1 ms	328 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	0 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	0 ms	212 KB	Output is correct
8	Correct	1 ms	212 KB	Output is correct
9	Correct	0 ms	340 KB	Output is correct
10	Correct	1 ms	328 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	324 KB	Output is correct
16	Correct	1 ms	340 KB	Output is correct
17	Correct	1 ms	328 KB	Output is correct
18	Correct	1 ms	340 KB	Output is correct
19	Correct	1 ms	340 KB	Output is correct
20	Correct	1 ms	340 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	0 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	0 ms	212 KB	Output is correct
8	Correct	1 ms	212 KB	Output is correct
9	Correct	0 ms	340 KB	Output is correct
10	Correct	1 ms	328 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	324 KB	Output is correct
16	Correct	1 ms	340 KB	Output is correct
17	Correct	1 ms	328 KB	Output is correct
18	Correct	1 ms	340 KB	Output is correct
19	Correct	1 ms	340 KB	Output is correct
20	Correct	1 ms	340 KB	Output is correct
21	Correct	1 ms	340 KB	Output is correct
22	Correct	1 ms	340 KB	Output is correct
23	Correct	1 ms	340 KB	Output is correct
24	Correct	1 ms	336 KB	Output is correct
25	Correct	1 ms	340 KB	Output is correct
26	Correct	1 ms	340 KB	Output is correct
27	Correct	1 ms	340 KB	Output is correct
28	Correct	1 ms	340 KB	Output is correct
29	Correct	1 ms	340 KB	Output is correct
30	Correct	1 ms	340 KB	Output is correct

Subtask #7

29.0 / 29.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	89 ms	10544 KB	Output is correct
2	Correct	90 ms	13600 KB	Output is correct
3	Correct	89 ms	13744 KB	Output is correct
4	Correct	92 ms	13644 KB	Output is correct
5	Correct	93 ms	13712 KB	Output is correct
6	Correct	88 ms	13256 KB	Output is correct
7	Correct	86 ms	13260 KB	Output is correct
8	Correct	85 ms	13564 KB	Output is correct
9	Correct	86 ms	13312 KB	Output is correct
10	Correct	84 ms	13524 KB	Output is correct
11	Correct	74 ms	10612 KB	Output is correct
12	Correct	83 ms	10848 KB	Output is correct
13	Correct	79 ms	10604 KB	Output is correct
14	Correct	77 ms	10708 KB	Output is correct
15	Correct	92 ms	13476 KB	Output is correct
16	Correct	83 ms	11676 KB	Output is correct
17	Correct	81 ms	11940 KB	Output is correct
18	Correct	87 ms	13616 KB	Output is correct
19	Correct	83 ms	13316 KB	Output is correct
20	Correct	86 ms	11936 KB	Output is correct
21	Correct	100 ms	10752 KB	Output is correct
22	Correct	102 ms	10596 KB	Output is correct
23	Correct	106 ms	10736 KB	Output is correct
24	Correct	100 ms	10572 KB	Output is correct
25	Correct	98 ms	10708 KB	Output is correct
26	Correct	106 ms	10700 KB	Output is correct
27	Correct	104 ms	10828 KB	Output is correct
28	Correct	102 ms	10700 KB	Output is correct
29	Correct	107 ms	10856 KB	Output is correct
30	Correct	104 ms	10780 KB	Output is correct
31	Correct	0 ms	212 KB	Output is correct
32	Correct	0 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	0 ms	212 KB	Output is correct
38	Correct	1 ms	212 KB	Output is correct
39	Correct	0 ms	340 KB	Output is correct
40	Correct	1 ms	328 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	324 KB	Output is correct
46	Correct	1 ms	340 KB	Output is correct
47	Correct	1 ms	328 KB	Output is correct
48	Correct	1 ms	340 KB	Output is correct
49	Correct	1 ms	340 KB	Output is correct
50	Correct	1 ms	340 KB	Output is correct
51	Correct	1 ms	340 KB	Output is correct
52	Correct	1 ms	340 KB	Output is correct
53	Correct	1 ms	340 KB	Output is correct
54	Correct	1 ms	336 KB	Output is correct
55	Correct	1 ms	340 KB	Output is correct
56	Correct	1 ms	340 KB	Output is correct
57	Correct	1 ms	340 KB	Output is correct
58	Correct	1 ms	340 KB	Output is correct
59	Correct	1 ms	340 KB	Output is correct
60	Correct	1 ms	340 KB	Output is correct
61	Correct	148 ms	13568 KB	Output is correct
62	Correct	140 ms	13964 KB	Output is correct
63	Correct	112 ms	13556 KB	Output is correct
64	Correct	140 ms	13832 KB	Output is correct
65	Correct	141 ms	13828 KB	Output is correct
66	Correct	140 ms	13828 KB	Output is correct
67	Correct	137 ms	13580 KB	Output is correct
68	Correct	106 ms	13804 KB	Output is correct
69	Correct	101 ms	13628 KB	Output is correct
70	Correct	98 ms	13396 KB	Output is correct