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Submission #439945

# Submission time Handle Problem Language Result Execution time Memory
439945 2021-07-01T09:18:50 Z dongliu0426 Feast (NOI19_feast) C++14
100 / 100
 820 ms 23296 KB 
#include <bits/stdc++.h>
using namespace std;

#define N	300000
#define INF	0x3f3f3f3f3f3f3f3f

int n, k, a[N + 1];
pair<long double, int> dp[N + 1][2];

template<class T, class U> T lastTrue(T lo, T hi, U f) {
	assert(lo <= hi); --lo; /* assuming f is decreasing */
	while (lo < hi) { /* find last index such that f is true */
		T mid = lo + (hi - lo + 1) / 2;
		f(mid) ? lo = mid : hi = mid - 1;
	} return lo;
}

int main() {
	scanf("%d%d", &n, &k);
	for (int i = 1; i <= n; ++i)
		scanf("%d", a + i);
	auto check = [&](long double penalty) {
		dp[0][0] = {0, 0}, dp[0][1] = {-INF, 0};
		for (int i = 1; i <= n; ++i) {
			pair<long double, int> last = max(dp[i - 1][0], dp[i - 1][1]);
			dp[i][0] = max(make_pair(last.first - penalty, last.second + 1), last);
			dp[i][1] = max(make_pair(dp[i - 1][1].first + a[i], dp[i - 1][1].second),
				make_pair(dp[i - 1][0].first + a[i] - penalty, dp[i - 1][0].second + 1));
		}
		return max(dp[n][0], dp[n][1]).second >= k;
	};
	long double lower = 0, upper = INF;
	for (int it = 0; it < 100; ++it) {
		long double mid = (lower + upper) / 2;
		if (check(mid)) {
			lower = mid;
		} else {
			upper = mid;
		}
	}
	long double penalty = lower;
	check(penalty);
	printf("%lld\n", (long long) round(penalty * k + max(dp[n][0], dp[n][1]).first));
}

Compilation message

feast.cpp: In function 'int main()':
feast.cpp:19:7: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   19 |  scanf("%d%d", &n, &k);
      |  ~~~~~^~~~~~~~~~~~~~~~
feast.cpp:21:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   21 |   scanf("%d", a + i);
      |   ~~~~~^~~~~~~~~~~~~

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 725 ms 19620 KB Output is correct
2 Correct 752 ms 22848 KB Output is correct
3 Correct 742 ms 23100 KB Output is correct
4 Correct 744 ms 22968 KB Output is correct
5 Correct 760 ms 22852 KB Output is correct
6 Correct 728 ms 22436 KB Output is correct
7 Correct 723 ms 22432 KB Output is correct
8 Correct 782 ms 22980 KB Output is correct
9 Correct 724 ms 22468 KB Output is correct
10 Correct 764 ms 22720 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 655 ms 19756 KB Output is correct
2 Correct 658 ms 20292 KB Output is correct
3 Correct 644 ms 19728 KB Output is correct
4 Correct 713 ms 19976 KB Output is correct
5 Correct 635 ms 22452 KB Output is correct
6 Correct 629 ms 20824 KB Output is correct
7 Correct 771 ms 21316 KB Output is correct
8 Correct 665 ms 22976 KB Output is correct
9 Correct 672 ms 22392 KB Output is correct
10 Correct 740 ms 21192 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 721 ms 19900 KB Output is correct
2 Correct 681 ms 19760 KB Output is correct
3 Correct 700 ms 19980 KB Output is correct
4 Correct 693 ms 19760 KB Output is correct
5 Correct 709 ms 19956 KB Output is correct
6 Correct 707 ms 20188 KB Output is correct
7 Correct 711 ms 20140 KB Output is correct
8 Correct 693 ms 19960 KB Output is correct
9 Correct 695 ms 20200 KB Output is correct
10 Correct 693 ms 20084 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 1 ms 204 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 1 ms 204 KB Output is correct
21 Correct 5 ms 332 KB Output is correct
22 Correct 5 ms 440 KB Output is correct
23 Correct 6 ms 460 KB Output is correct
24 Correct 7 ms 452 KB Output is correct
25 Correct 6 ms 460 KB Output is correct
26 Correct 6 ms 464 KB Output is correct
27 Correct 7 ms 448 KB Output is correct
28 Correct 7 ms 440 KB Output is correct
29 Correct 5 ms 460 KB Output is correct
30 Correct 5 ms 460 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 725 ms 19620 KB Output is correct
2 Correct 752 ms 22848 KB Output is correct
3 Correct 742 ms 23100 KB Output is correct
4 Correct 744 ms 22968 KB Output is correct
5 Correct 760 ms 22852 KB Output is correct
6 Correct 728 ms 22436 KB Output is correct
7 Correct 723 ms 22432 KB Output is correct
8 Correct 782 ms 22980 KB Output is correct
9 Correct 724 ms 22468 KB Output is correct
10 Correct 764 ms 22720 KB Output is correct
11 Correct 655 ms 19756 KB Output is correct
12 Correct 658 ms 20292 KB Output is correct
13 Correct 644 ms 19728 KB Output is correct
14 Correct 713 ms 19976 KB Output is correct
15 Correct 635 ms 22452 KB Output is correct
16 Correct 629 ms 20824 KB Output is correct
17 Correct 771 ms 21316 KB Output is correct
18 Correct 665 ms 22976 KB Output is correct
19 Correct 672 ms 22392 KB Output is correct
20 Correct 740 ms 21192 KB Output is correct
21 Correct 721 ms 19900 KB Output is correct
22 Correct 681 ms 19760 KB Output is correct
23 Correct 700 ms 19980 KB Output is correct
24 Correct 693 ms 19760 KB Output is correct
25 Correct 709 ms 19956 KB Output is correct
26 Correct 707 ms 20188 KB Output is correct
27 Correct 711 ms 20140 KB Output is correct
28 Correct 693 ms 19960 KB Output is correct
29 Correct 695 ms 20200 KB Output is correct
30 Correct 693 ms 20084 KB Output is correct
31 Correct 1 ms 204 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 1 ms 204 KB Output is correct
34 Correct 1 ms 204 KB Output is correct
35 Correct 1 ms 204 KB Output is correct
36 Correct 1 ms 204 KB Output is correct
37 Correct 1 ms 204 KB Output is correct
38 Correct 1 ms 204 KB Output is correct
39 Correct 1 ms 204 KB Output is correct
40 Correct 1 ms 204 KB Output is correct
41 Correct 1 ms 204 KB Output is correct
42 Correct 1 ms 204 KB Output is correct
43 Correct 1 ms 204 KB Output is correct
44 Correct 1 ms 204 KB Output is correct
45 Correct 1 ms 332 KB Output is correct
46 Correct 1 ms 204 KB Output is correct
47 Correct 1 ms 204 KB Output is correct
48 Correct 1 ms 204 KB Output is correct
49 Correct 1 ms 204 KB Output is correct
50 Correct 1 ms 204 KB Output is correct
51 Correct 5 ms 332 KB Output is correct
52 Correct 5 ms 440 KB Output is correct
53 Correct 6 ms 460 KB Output is correct
54 Correct 7 ms 452 KB Output is correct
55 Correct 6 ms 460 KB Output is correct
56 Correct 6 ms 464 KB Output is correct
57 Correct 7 ms 448 KB Output is correct
58 Correct 7 ms 440 KB Output is correct
59 Correct 5 ms 460 KB Output is correct
60 Correct 5 ms 460 KB Output is correct
61 Correct 787 ms 22760 KB Output is correct
62 Correct 786 ms 23296 KB Output is correct
63 Correct 726 ms 22724 KB Output is correct
64 Correct 795 ms 23108 KB Output is correct
65 Correct 820 ms 23108 KB Output is correct
66 Correct 815 ms 23044 KB Output is correct
67 Correct 782 ms 22696 KB Output is correct
68 Correct 709 ms 23132 KB Output is correct
69 Correct 707 ms 22724 KB Output is correct
70 Correct 672 ms 22576 KB Output is correct