Submission #439994

# Submission time Handle Problem Language Result Execution time Memory
439994 2021-07-01T11:13:49 Z dongliu0426 Feast (NOI19_feast) C++14
100 / 100
675 ms 23120 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) {
			dp[i][0] = max(dp[i - 1][0], dp[i - 1][1]);
			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);
      |   ~~~~~^~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 460 ms 19652 KB Output is correct
2 Correct 484 ms 20284 KB Output is correct
3 Correct 480 ms 20416 KB Output is correct
4 Correct 459 ms 20420 KB Output is correct
5 Correct 466 ms 20384 KB Output is correct
6 Correct 448 ms 19908 KB Output is correct
7 Correct 465 ms 19924 KB Output is correct
8 Correct 462 ms 20380 KB Output is correct
9 Correct 459 ms 20044 KB Output is correct
10 Correct 474 ms 20276 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 451 ms 19808 KB Output is correct
2 Correct 476 ms 20196 KB Output is correct
3 Correct 460 ms 19736 KB Output is correct
4 Correct 442 ms 19908 KB Output is correct
5 Correct 462 ms 19956 KB Output is correct
6 Correct 468 ms 20076 KB Output is correct
7 Correct 465 ms 20524 KB Output is correct
8 Correct 465 ms 20392 KB Output is correct
9 Correct 468 ms 19932 KB Output is correct
10 Correct 465 ms 20420 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 534 ms 20136 KB Output is correct
2 Correct 533 ms 19760 KB Output is correct
3 Correct 539 ms 19948 KB Output is correct
4 Correct 514 ms 19780 KB Output is correct
5 Correct 519 ms 19952 KB Output is correct
6 Correct 525 ms 20036 KB Output is correct
7 Correct 527 ms 20152 KB Output is correct
8 Correct 525 ms 19956 KB Output is correct
9 Correct 539 ms 20264 KB Output is correct
10 Correct 523 ms 20156 KB Output is correct
# 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
# 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 204 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 2 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 204 KB Output is correct
# 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 204 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 2 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 204 KB Output is correct
21 Correct 4 ms 332 KB Output is correct
22 Correct 5 ms 332 KB Output is correct
23 Correct 4 ms 460 KB Output is correct
24 Correct 4 ms 332 KB Output is correct
25 Correct 4 ms 460 KB Output is correct
26 Correct 4 ms 460 KB Output is correct
27 Correct 5 ms 440 KB Output is correct
28 Correct 4 ms 440 KB Output is correct
29 Correct 4 ms 460 KB Output is correct
30 Correct 4 ms 332 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 460 ms 19652 KB Output is correct
2 Correct 484 ms 20284 KB Output is correct
3 Correct 480 ms 20416 KB Output is correct
4 Correct 459 ms 20420 KB Output is correct
5 Correct 466 ms 20384 KB Output is correct
6 Correct 448 ms 19908 KB Output is correct
7 Correct 465 ms 19924 KB Output is correct
8 Correct 462 ms 20380 KB Output is correct
9 Correct 459 ms 20044 KB Output is correct
10 Correct 474 ms 20276 KB Output is correct
11 Correct 451 ms 19808 KB Output is correct
12 Correct 476 ms 20196 KB Output is correct
13 Correct 460 ms 19736 KB Output is correct
14 Correct 442 ms 19908 KB Output is correct
15 Correct 462 ms 19956 KB Output is correct
16 Correct 468 ms 20076 KB Output is correct
17 Correct 465 ms 20524 KB Output is correct
18 Correct 465 ms 20392 KB Output is correct
19 Correct 468 ms 19932 KB Output is correct
20 Correct 465 ms 20420 KB Output is correct
21 Correct 534 ms 20136 KB Output is correct
22 Correct 533 ms 19760 KB Output is correct
23 Correct 539 ms 19948 KB Output is correct
24 Correct 514 ms 19780 KB Output is correct
25 Correct 519 ms 19952 KB Output is correct
26 Correct 525 ms 20036 KB Output is correct
27 Correct 527 ms 20152 KB Output is correct
28 Correct 525 ms 19956 KB Output is correct
29 Correct 539 ms 20264 KB Output is correct
30 Correct 523 ms 20156 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 204 KB Output is correct
46 Correct 1 ms 204 KB Output is correct
47 Correct 2 ms 204 KB Output is correct
48 Correct 1 ms 204 KB Output is correct
49 Correct 1 ms 332 KB Output is correct
50 Correct 1 ms 204 KB Output is correct
51 Correct 4 ms 332 KB Output is correct
52 Correct 5 ms 332 KB Output is correct
53 Correct 4 ms 460 KB Output is correct
54 Correct 4 ms 332 KB Output is correct
55 Correct 4 ms 460 KB Output is correct
56 Correct 4 ms 460 KB Output is correct
57 Correct 5 ms 440 KB Output is correct
58 Correct 4 ms 440 KB Output is correct
59 Correct 4 ms 460 KB Output is correct
60 Correct 4 ms 332 KB Output is correct
61 Correct 649 ms 20028 KB Output is correct
62 Correct 636 ms 20548 KB Output is correct
63 Correct 579 ms 19980 KB Output is correct
64 Correct 675 ms 20372 KB Output is correct
65 Correct 666 ms 23112 KB Output is correct
66 Correct 663 ms 23108 KB Output is correct
67 Correct 672 ms 22692 KB Output is correct
68 Correct 537 ms 23120 KB Output is correct
69 Correct 558 ms 22672 KB Output is correct
70 Correct 524 ms 22596 KB Output is correct