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Submission #817405

# Submission time Handle Problem Language Result Execution time Memory
817405 2023-08-09T12:17:17 Z vjudge1 Feast (NOI19_feast) C++17
40 / 100
 259 ms 14724 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), dp_open(n);
	dp_closed[0] = {0, 0};
	dp_open[0] = {max(0LL, -pfx[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-1].first - pfx[i], dp_closed[i-1].second});
	}

	return dp_closed[n-1];
}

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

	v.resize(n);
	for (int i = 0; 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;
	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

# Verdict Execution time Memory Grader output
1 Correct 212 ms 14132 KB Output is correct
2 Correct 224 ms 14364 KB Output is correct
3 Correct 237 ms 14564 KB Output is correct
4 Correct 211 ms 14448 KB Output is correct
5 Correct 218 ms 14408 KB Output is correct
6 Correct 212 ms 14104 KB Output is correct
7 Correct 205 ms 14120 KB Output is correct
8 Correct 238 ms 14552 KB Output is correct
9 Correct 217 ms 14188 KB Output is correct
10 Correct 230 ms 14292 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 204 ms 14232 KB Output is correct
2 Correct 234 ms 14508 KB Output is correct
3 Correct 205 ms 14184 KB Output is correct
4 Correct 221 ms 14272 KB Output is correct
5 Correct 201 ms 14148 KB Output is correct
6 Correct 219 ms 14212 KB Output is correct
7 Correct 212 ms 14596 KB Output is correct
8 Correct 210 ms 14492 KB Output is correct
9 Correct 199 ms 14104 KB Output is correct
10 Correct 217 ms 14544 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 214 ms 14436 KB Output is correct
2 Correct 216 ms 14156 KB Output is correct
3 Correct 259 ms 14308 KB Output is correct
4 Correct 209 ms 14216 KB Output is correct
5 Correct 210 ms 14356 KB Output is correct
6 Correct 217 ms 14724 KB Output is correct
7 Correct 218 ms 14476 KB Output is correct
8 Correct 213 ms 14284 KB Output is correct
9 Correct 217 ms 14540 KB Output is correct
10 Correct 215 ms 14480 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 0 ms 212 KB Output is correct
5 Correct 0 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
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 0 ms 212 KB Output is correct
5 Correct 0 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 Incorrect 1 ms 212 KB Output isn't correct
12 Halted 0 ms 0 KB -

Subtask #6
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 0 ms 212 KB Output is correct
5 Correct 0 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 Incorrect 1 ms 212 KB Output isn't correct
12 Halted 0 ms 0 KB -

Subtask #7
0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 212 ms 14132 KB Output is correct
2 Correct 224 ms 14364 KB Output is correct
3 Correct 237 ms 14564 KB Output is correct
4 Correct 211 ms 14448 KB Output is correct
5 Correct 218 ms 14408 KB Output is correct
6 Correct 212 ms 14104 KB Output is correct
7 Correct 205 ms 14120 KB Output is correct
8 Correct 238 ms 14552 KB Output is correct
9 Correct 217 ms 14188 KB Output is correct
10 Correct 230 ms 14292 KB Output is correct
11 Correct 204 ms 14232 KB Output is correct
12 Correct 234 ms 14508 KB Output is correct
13 Correct 205 ms 14184 KB Output is correct
14 Correct 221 ms 14272 KB Output is correct
15 Correct 201 ms 14148 KB Output is correct
16 Correct 219 ms 14212 KB Output is correct
17 Correct 212 ms 14596 KB Output is correct
18 Correct 210 ms 14492 KB Output is correct
19 Correct 199 ms 14104 KB Output is correct
20 Correct 217 ms 14544 KB Output is correct
21 Correct 214 ms 14436 KB Output is correct
22 Correct 216 ms 14156 KB Output is correct
23 Correct 259 ms 14308 KB Output is correct
24 Correct 209 ms 14216 KB Output is correct
25 Correct 210 ms 14356 KB Output is correct
26 Correct 217 ms 14724 KB Output is correct
27 Correct 218 ms 14476 KB Output is correct
28 Correct 213 ms 14284 KB Output is correct
29 Correct 217 ms 14540 KB Output is correct
30 Correct 215 ms 14480 KB Output is correct
31 Correct 1 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 0 ms 212 KB Output is correct
35 Correct 0 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 Incorrect 1 ms 212 KB Output isn't correct
42 Halted 0 ms 0 KB -