Submission #817403

# Submission time Handle Problem Language Result Execution time Memory
817403 2023-08-09T12:16:49 Z vjudge1 Feast (NOI19_feast) C++17
40 / 100
214 ms 17496 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 = 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";
}
# Verdict Execution time Memory Grader output
1 Correct 178 ms 14108 KB Output is correct
2 Correct 181 ms 14508 KB Output is correct
3 Correct 183 ms 14544 KB Output is correct
4 Correct 182 ms 14476 KB Output is correct
5 Correct 192 ms 14348 KB Output is correct
6 Correct 185 ms 14132 KB Output is correct
7 Correct 173 ms 14132 KB Output is correct
8 Correct 183 ms 14368 KB Output is correct
9 Correct 185 ms 14360 KB Output is correct
10 Correct 214 ms 14312 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 182 ms 14264 KB Output is correct
2 Correct 170 ms 15688 KB Output is correct
3 Correct 163 ms 15296 KB Output is correct
4 Correct 174 ms 15380 KB Output is correct
5 Correct 179 ms 16916 KB Output is correct
6 Correct 179 ms 15412 KB Output is correct
7 Correct 171 ms 15716 KB Output is correct
8 Correct 205 ms 17252 KB Output is correct
9 Correct 175 ms 16840 KB Output is correct
10 Correct 167 ms 15688 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 189 ms 14412 KB Output is correct
2 Correct 177 ms 17148 KB Output is correct
3 Correct 197 ms 17376 KB Output is correct
4 Correct 169 ms 17136 KB Output is correct
5 Correct 173 ms 17332 KB Output is correct
6 Correct 190 ms 17400 KB Output is correct
7 Correct 183 ms 17416 KB Output is correct
8 Correct 213 ms 17240 KB Output is correct
9 Correct 187 ms 17496 KB Output is correct
10 Correct 203 ms 17408 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 320 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 1 ms 264 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 320 KB Output is correct
9 Correct 0 ms 324 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 320 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 1 ms 264 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 320 KB Output is correct
9 Correct 0 ms 324 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Incorrect 1 ms 212 KB Output isn't correct
12 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 320 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 1 ms 264 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 320 KB Output is correct
9 Correct 0 ms 324 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Incorrect 1 ms 212 KB Output isn't correct
12 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 178 ms 14108 KB Output is correct
2 Correct 181 ms 14508 KB Output is correct
3 Correct 183 ms 14544 KB Output is correct
4 Correct 182 ms 14476 KB Output is correct
5 Correct 192 ms 14348 KB Output is correct
6 Correct 185 ms 14132 KB Output is correct
7 Correct 173 ms 14132 KB Output is correct
8 Correct 183 ms 14368 KB Output is correct
9 Correct 185 ms 14360 KB Output is correct
10 Correct 214 ms 14312 KB Output is correct
11 Correct 182 ms 14264 KB Output is correct
12 Correct 170 ms 15688 KB Output is correct
13 Correct 163 ms 15296 KB Output is correct
14 Correct 174 ms 15380 KB Output is correct
15 Correct 179 ms 16916 KB Output is correct
16 Correct 179 ms 15412 KB Output is correct
17 Correct 171 ms 15716 KB Output is correct
18 Correct 205 ms 17252 KB Output is correct
19 Correct 175 ms 16840 KB Output is correct
20 Correct 167 ms 15688 KB Output is correct
21 Correct 189 ms 14412 KB Output is correct
22 Correct 177 ms 17148 KB Output is correct
23 Correct 197 ms 17376 KB Output is correct
24 Correct 169 ms 17136 KB Output is correct
25 Correct 173 ms 17332 KB Output is correct
26 Correct 190 ms 17400 KB Output is correct
27 Correct 183 ms 17416 KB Output is correct
28 Correct 213 ms 17240 KB Output is correct
29 Correct 187 ms 17496 KB Output is correct
30 Correct 203 ms 17408 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 1 ms 320 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 1 ms 264 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 0 ms 320 KB Output is correct
39 Correct 0 ms 324 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Incorrect 1 ms 212 KB Output isn't correct
42 Halted 0 ms 0 KB -