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답안 #817801

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
817801 2023-08-09T16:34:20 Z vjudge1 Feast (NOI19_feast) C++17
100 / 100
 268 ms 17548 KB 
#include <bits/stdc++.h>
using namespace std;

void main_program();

signed main(){
	ios_base::sync_with_stdio(0); cin.tie(0);
	main_program();
}

#define int long long

using ii = pair<int, int>;

int n, k;
vector<int> v, pfx;

ii better(ii a, ii b){
	if (a.first != b.first){
		return (a.first > b.first) ? a : b;
	}
	return (a.second < b.second) ? a : b;
}

ii f(int lambda){
	vector<ii> dp_closed(n+1), dp_open(n+1);
	dp_closed[0] = {0, 0};
	dp_open[0] = {0, 0};

	for (int i = 1; i <= n; i++){
		dp_closed[i] = better(dp_closed[i-1],
			{dp_open[i-1].first + pfx[i] - lambda, dp_open[i-1].second + 1});
		dp_open[i] = better(dp_open[i-1],
			{dp_closed[i].first - pfx[i], dp_closed[i].second});
	}

	return dp_closed[n];
}

void main_program(){
	cin >> n >> k;

	v.resize(n+1);
	for (int i = 1; i <= n; i++) cin >> v[i];
	pfx = v;
	for (int i = 1; i <= n; i++) pfx[i] += pfx[i-1];

	int l = 0, r = 3e14;
	int final = 0;
	while (l <= r){
		int mid = (l + r) >> 1;
		auto res = f(mid);
		if (res.second <= k){
			r = mid - 1;
			final = max(final, res.first + mid * res.second);
		}
		else l = mid + 1;
	}

	cout << final << "\n";
}

Subtask #1
4.0 / 4.0

# 결과 실행 시간 메모리 Grader output
1 Correct 245 ms 14092 KB Output is correct
2 Correct 230 ms 17188 KB Output is correct
3 Correct 247 ms 17484 KB Output is correct
4 Correct 235 ms 17280 KB Output is correct
5 Correct 233 ms 17204 KB Output is correct
6 Correct 222 ms 16916 KB Output is correct
7 Correct 227 ms 16896 KB Output is correct
8 Correct 227 ms 17256 KB Output is correct
9 Correct 239 ms 17016 KB Output is correct
10 Correct 241 ms 17096 KB Output is correct

Subtask #2
8.0 / 8.0

# 결과 실행 시간 메모리 Grader output
1 Correct 224 ms 14184 KB Output is correct
2 Correct 242 ms 14536 KB Output is correct
3 Correct 249 ms 14140 KB Output is correct
4 Correct 228 ms 14288 KB Output is correct
5 Correct 242 ms 16928 KB Output is correct
6 Correct 228 ms 15280 KB Output is correct
7 Correct 251 ms 15660 KB Output is correct
8 Correct 223 ms 17336 KB Output is correct
9 Correct 221 ms 16892 KB Output is correct
10 Correct 226 ms 15572 KB Output is correct

Subtask #3
18.0 / 18.0

# 결과 실행 시간 메모리 Grader output
1 Correct 255 ms 14340 KB Output is correct
2 Correct 231 ms 14184 KB Output is correct
3 Correct 252 ms 14356 KB Output is correct
4 Correct 231 ms 14272 KB Output is correct
5 Correct 241 ms 14292 KB Output is correct
6 Correct 241 ms 14576 KB Output is correct
7 Correct 230 ms 14408 KB Output is correct
8 Correct 219 ms 14340 KB Output is correct
9 Correct 245 ms 14604 KB Output is correct
10 Correct 268 ms 14456 KB Output is correct

Subtask #4
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 324 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 324 KB Output is correct
7 Correct 0 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 1 ms 324 KB Output is correct

Subtask #5
11.0 / 11.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 324 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 324 KB Output is correct
7 Correct 0 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 1 ms 324 KB Output is correct
11 Correct 1 ms 324 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 316 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 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 320 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct

Subtask #6
20.0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 324 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 324 KB Output is correct
7 Correct 0 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 1 ms 324 KB Output is correct
11 Correct 1 ms 324 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 316 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 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 320 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 1 ms 356 KB Output is correct
24 Correct 2 ms 340 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 420 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 328 KB Output is correct
30 Correct 1 ms 356 KB Output is correct

Subtask #7
29.0 / 29.0

# 결과 실행 시간 메모리 Grader output
1 Correct 245 ms 14092 KB Output is correct
2 Correct 230 ms 17188 KB Output is correct
3 Correct 247 ms 17484 KB Output is correct
4 Correct 235 ms 17280 KB Output is correct
5 Correct 233 ms 17204 KB Output is correct
6 Correct 222 ms 16916 KB Output is correct
7 Correct 227 ms 16896 KB Output is correct
8 Correct 227 ms 17256 KB Output is correct
9 Correct 239 ms 17016 KB Output is correct
10 Correct 241 ms 17096 KB Output is correct
11 Correct 224 ms 14184 KB Output is correct
12 Correct 242 ms 14536 KB Output is correct
13 Correct 249 ms 14140 KB Output is correct
14 Correct 228 ms 14288 KB Output is correct
15 Correct 242 ms 16928 KB Output is correct
16 Correct 228 ms 15280 KB Output is correct
17 Correct 251 ms 15660 KB Output is correct
18 Correct 223 ms 17336 KB Output is correct
19 Correct 221 ms 16892 KB Output is correct
20 Correct 226 ms 15572 KB Output is correct
21 Correct 255 ms 14340 KB Output is correct
22 Correct 231 ms 14184 KB Output is correct
23 Correct 252 ms 14356 KB Output is correct
24 Correct 231 ms 14272 KB Output is correct
25 Correct 241 ms 14292 KB Output is correct
26 Correct 241 ms 14576 KB Output is correct
27 Correct 230 ms 14408 KB Output is correct
28 Correct 219 ms 14340 KB Output is correct
29 Correct 245 ms 14604 KB Output is correct
30 Correct 268 ms 14456 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 1 ms 324 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 1 ms 324 KB Output is correct
37 Correct 0 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 1 ms 324 KB Output is correct
41 Correct 1 ms 324 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 1 ms 316 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 212 KB Output is correct
47 Correct 1 ms 212 KB Output is correct
48 Correct 1 ms 320 KB Output is correct
49 Correct 1 ms 212 KB Output is correct
50 Correct 1 ms 212 KB Output is correct
51 Correct 1 ms 340 KB Output is correct
52 Correct 2 ms 340 KB Output is correct
53 Correct 1 ms 356 KB Output is correct
54 Correct 2 ms 340 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 420 KB Output is correct
58 Correct 1 ms 340 KB Output is correct
59 Correct 1 ms 328 KB Output is correct
60 Correct 1 ms 356 KB Output is correct
61 Correct 221 ms 17180 KB Output is correct
62 Correct 238 ms 17540 KB Output is correct
63 Correct 238 ms 17196 KB Output is correct
64 Correct 241 ms 17460 KB Output is correct
65 Correct 247 ms 17504 KB Output is correct
66 Correct 256 ms 17412 KB Output is correct
67 Correct 254 ms 17084 KB Output is correct
68 Correct 268 ms 17548 KB Output is correct
69 Correct 253 ms 17172 KB Output is correct
70 Correct 229 ms 17076 KB Output is correct