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답안 #817804

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
817804 2023-08-09T16:35:16 Z vjudge1 Feast (NOI19_feast) C++17
100 / 100
 230 ms 14744 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 = 1e12;
	while (l < r){
		int mid = (l + r) >> 1;
		auto res = f(mid);
		if (res.second <= k) r = mid;
		else l = mid + 1;
	}

	auto res = f(l);
	cout << res.first + l * res.second << "\n";
}

Subtask #1
4.0 / 4.0

# 결과 실행 시간 메모리 Grader output
1 Correct 197 ms 14112 KB Output is correct
2 Correct 219 ms 14348 KB Output is correct
3 Correct 208 ms 14536 KB Output is correct
4 Correct 197 ms 14448 KB Output is correct
5 Correct 199 ms 14460 KB Output is correct
6 Correct 198 ms 14068 KB Output is correct
7 Correct 192 ms 14064 KB Output is correct
8 Correct 207 ms 14360 KB Output is correct
9 Correct 194 ms 14140 KB Output is correct
10 Correct 195 ms 14284 KB Output is correct

Subtask #2
8.0 / 8.0

# 결과 실행 시간 메모리 Grader output
1 Correct 189 ms 14168 KB Output is correct
2 Correct 199 ms 14744 KB Output is correct
3 Correct 192 ms 14200 KB Output is correct
4 Correct 194 ms 14308 KB Output is correct
5 Correct 219 ms 14212 KB Output is correct
6 Correct 193 ms 14188 KB Output is correct
7 Correct 197 ms 14480 KB Output is correct
8 Correct 205 ms 14432 KB Output is correct
9 Correct 206 ms 14040 KB Output is correct
10 Correct 202 ms 14568 KB Output is correct

Subtask #3
18.0 / 18.0

# 결과 실행 시간 메모리 Grader output
1 Correct 205 ms 14344 KB Output is correct
2 Correct 204 ms 14164 KB Output is correct
3 Correct 198 ms 14356 KB Output is correct
4 Correct 202 ms 14180 KB Output is correct
5 Correct 224 ms 14336 KB Output is correct
6 Correct 219 ms 14432 KB Output is correct
7 Correct 211 ms 14464 KB Output is correct
8 Correct 224 ms 14488 KB Output is correct
9 Correct 225 ms 14468 KB Output is correct
10 Correct 216 ms 14432 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 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 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 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 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 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 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 332 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 2 ms 340 KB Output is correct
30 Correct 2 ms 340 KB Output is correct

Subtask #7
29.0 / 29.0

# 결과 실행 시간 메모리 Grader output
1 Correct 197 ms 14112 KB Output is correct
2 Correct 219 ms 14348 KB Output is correct
3 Correct 208 ms 14536 KB Output is correct
4 Correct 197 ms 14448 KB Output is correct
5 Correct 199 ms 14460 KB Output is correct
6 Correct 198 ms 14068 KB Output is correct
7 Correct 192 ms 14064 KB Output is correct
8 Correct 207 ms 14360 KB Output is correct
9 Correct 194 ms 14140 KB Output is correct
10 Correct 195 ms 14284 KB Output is correct
11 Correct 189 ms 14168 KB Output is correct
12 Correct 199 ms 14744 KB Output is correct
13 Correct 192 ms 14200 KB Output is correct
14 Correct 194 ms 14308 KB Output is correct
15 Correct 219 ms 14212 KB Output is correct
16 Correct 193 ms 14188 KB Output is correct
17 Correct 197 ms 14480 KB Output is correct
18 Correct 205 ms 14432 KB Output is correct
19 Correct 206 ms 14040 KB Output is correct
20 Correct 202 ms 14568 KB Output is correct
21 Correct 205 ms 14344 KB Output is correct
22 Correct 204 ms 14164 KB Output is correct
23 Correct 198 ms 14356 KB Output is correct
24 Correct 202 ms 14180 KB Output is correct
25 Correct 224 ms 14336 KB Output is correct
26 Correct 219 ms 14432 KB Output is correct
27 Correct 211 ms 14464 KB Output is correct
28 Correct 224 ms 14488 KB Output is correct
29 Correct 225 ms 14468 KB Output is correct
30 Correct 216 ms 14432 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 0 ms 212 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 0 ms 212 KB Output is correct
41 Correct 0 ms 212 KB Output is correct
42 Correct 0 ms 340 KB Output is correct
43 Correct 0 ms 212 KB Output is correct
44 Correct 0 ms 212 KB Output is correct
45 Correct 0 ms 212 KB Output is correct
46 Correct 1 ms 212 KB Output is correct
47 Correct 0 ms 212 KB Output is correct
48 Correct 0 ms 212 KB Output is correct
49 Correct 0 ms 212 KB Output is correct
50 Correct 0 ms 212 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 332 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 2 ms 340 KB Output is correct
60 Correct 2 ms 340 KB Output is correct
61 Correct 197 ms 14192 KB Output is correct
62 Correct 205 ms 14508 KB Output is correct
63 Correct 221 ms 14120 KB Output is correct
64 Correct 193 ms 14428 KB Output is correct
65 Correct 207 ms 14356 KB Output is correct
66 Correct 222 ms 14388 KB Output is correct
67 Correct 198 ms 14168 KB Output is correct
68 Correct 196 ms 14420 KB Output is correct
69 Correct 197 ms 14136 KB Output is correct
70 Correct 230 ms 14044 KB Output is correct