Submission #817429

# Submission time Handle Problem Language Result Execution time Memory
817429 2023-08-09T12:26:34 Z vjudge1 Feast (NOI19_feast) C++17
40 / 100
259 ms 14592 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;
	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";
}
# Verdict Execution time Memory Grader output
1 Correct 217 ms 14316 KB Output is correct
2 Correct 204 ms 14356 KB Output is correct
3 Correct 212 ms 14584 KB Output is correct
4 Correct 217 ms 14444 KB Output is correct
5 Correct 204 ms 14388 KB Output is correct
6 Correct 209 ms 14108 KB Output is correct
7 Correct 207 ms 14404 KB Output is correct
8 Correct 212 ms 14392 KB Output is correct
9 Correct 205 ms 14168 KB Output is correct
10 Correct 199 ms 14268 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 183 ms 14256 KB Output is correct
2 Correct 208 ms 14548 KB Output is correct
3 Correct 194 ms 14164 KB Output is correct
4 Correct 210 ms 14424 KB Output is correct
5 Correct 199 ms 14172 KB Output is correct
6 Correct 197 ms 14160 KB Output is correct
7 Correct 207 ms 14592 KB Output is correct
8 Correct 246 ms 14420 KB Output is correct
9 Correct 205 ms 14072 KB Output is correct
10 Correct 196 ms 14488 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 216 ms 14384 KB Output is correct
2 Correct 202 ms 14224 KB Output is correct
3 Correct 235 ms 14472 KB Output is correct
4 Correct 206 ms 14292 KB Output is correct
5 Correct 248 ms 14328 KB Output is correct
6 Correct 215 ms 14560 KB Output is correct
7 Correct 225 ms 14416 KB Output is correct
8 Correct 238 ms 14348 KB Output is correct
9 Correct 222 ms 14548 KB Output is correct
10 Correct 259 ms 14392 KB Output is correct
# Verdict Execution time Memory 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 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
# Verdict Execution time Memory 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 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 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 -
# Verdict Execution time Memory 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 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 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 -
# Verdict Execution time Memory Grader output
1 Correct 217 ms 14316 KB Output is correct
2 Correct 204 ms 14356 KB Output is correct
3 Correct 212 ms 14584 KB Output is correct
4 Correct 217 ms 14444 KB Output is correct
5 Correct 204 ms 14388 KB Output is correct
6 Correct 209 ms 14108 KB Output is correct
7 Correct 207 ms 14404 KB Output is correct
8 Correct 212 ms 14392 KB Output is correct
9 Correct 205 ms 14168 KB Output is correct
10 Correct 199 ms 14268 KB Output is correct
11 Correct 183 ms 14256 KB Output is correct
12 Correct 208 ms 14548 KB Output is correct
13 Correct 194 ms 14164 KB Output is correct
14 Correct 210 ms 14424 KB Output is correct
15 Correct 199 ms 14172 KB Output is correct
16 Correct 197 ms 14160 KB Output is correct
17 Correct 207 ms 14592 KB Output is correct
18 Correct 246 ms 14420 KB Output is correct
19 Correct 205 ms 14072 KB Output is correct
20 Correct 196 ms 14488 KB Output is correct
21 Correct 216 ms 14384 KB Output is correct
22 Correct 202 ms 14224 KB Output is correct
23 Correct 235 ms 14472 KB Output is correct
24 Correct 206 ms 14292 KB Output is correct
25 Correct 248 ms 14328 KB Output is correct
26 Correct 215 ms 14560 KB Output is correct
27 Correct 225 ms 14416 KB Output is correct
28 Correct 238 ms 14348 KB Output is correct
29 Correct 222 ms 14548 KB Output is correct
30 Correct 259 ms 14392 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 212 KB Output is correct
35 Correct 0 ms 212 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 0 ms 212 KB Output is correct
38 Correct 1 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 -