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Submission #939735

# Submission time Handle Problem Language Result Execution time Memory
939735 2024-03-06T17:20:01 Z TrinhKhanhDung Feast (NOI19_feast) C++14
100 / 100
 341 ms 23444 KB 
#include <bits/stdc++.h>

using namespace std;

const int MAX = 3e5 + 10;
const long long oo = (long long)300000 * 1000000000;
const long double EPS = 1e-3;

int N, K;
int a[MAX];
pair<long double, int> dp[MAX][2];

bool OK(long double lambda) {
    dp[0][0] = {0, 0}, dp[0][1] = {-oo, 0};
    for (int i = 1; i <= N; ++i) {
        dp[i][0] = max(dp[i - 1][0], dp[i - 1][1]);
        dp[i][1] =
            max(make_pair(dp[i - 1][1].first + a[i], dp[i - 1][1].second),
                make_pair(dp[i - 1][0].first + a[i] - lambda,
                          dp[i - 1][0].second + 1));
    }
    return max(dp[N][0], dp[N][1]).second >= K;
};

int main(){
    ios_base::sync_with_stdio(0);

    cin >> N >> K;
    for(int i=1; i<=N; i++){
        cin >> a[i];
    }

    long double lower = 0, upper = oo;
    while (lower + EPS < upper) {
        long double mid = (lower + upper) / 2;
        if (OK(mid)) {
            lower = mid;
        } else {
            upper = mid;
        }
    }
    long double lambda = lower;
    OK(lambda);

    cout << (long long)round(lambda * K + max(dp[N][0], dp[N][1]).first);

    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 185 ms 21556 KB Output is correct
2 Correct 185 ms 22000 KB Output is correct
3 Correct 196 ms 22156 KB Output is correct
4 Correct 191 ms 21984 KB Output is correct
5 Correct 186 ms 21840 KB Output is correct
6 Correct 187 ms 22004 KB Output is correct
7 Correct 191 ms 21764 KB Output is correct
8 Correct 195 ms 21836 KB Output is correct
9 Correct 196 ms 21748 KB Output is correct
10 Correct 224 ms 22032 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 174 ms 20988 KB Output is correct
2 Correct 180 ms 21500 KB Output is correct
3 Correct 207 ms 21328 KB Output is correct
4 Correct 187 ms 21376 KB Output is correct
5 Correct 203 ms 23036 KB Output is correct
6 Correct 196 ms 21344 KB Output is correct
7 Correct 192 ms 21368 KB Output is correct
8 Correct 201 ms 23128 KB Output is correct
9 Correct 189 ms 23020 KB Output is correct
10 Correct 198 ms 21384 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 243 ms 22044 KB Output is correct
2 Correct 234 ms 23224 KB Output is correct
3 Correct 246 ms 23256 KB Output is correct
4 Correct 225 ms 23216 KB Output is correct
5 Correct 242 ms 23260 KB Output is correct
6 Correct 226 ms 23276 KB Output is correct
7 Correct 235 ms 23124 KB Output is correct
8 Correct 233 ms 23260 KB Output is correct
9 Correct 224 ms 23412 KB Output is correct
10 Correct 233 ms 23356 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 460 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 464 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 460 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 464 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 2 ms 604 KB Output is correct
22 Correct 2 ms 604 KB Output is correct
23 Correct 2 ms 604 KB Output is correct
24 Correct 2 ms 604 KB Output is correct
25 Correct 2 ms 580 KB Output is correct
26 Correct 2 ms 600 KB Output is correct
27 Correct 2 ms 728 KB Output is correct
28 Correct 2 ms 600 KB Output is correct
29 Correct 2 ms 604 KB Output is correct
30 Correct 6 ms 604 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 185 ms 21556 KB Output is correct
2 Correct 185 ms 22000 KB Output is correct
3 Correct 196 ms 22156 KB Output is correct
4 Correct 191 ms 21984 KB Output is correct
5 Correct 186 ms 21840 KB Output is correct
6 Correct 187 ms 22004 KB Output is correct
7 Correct 191 ms 21764 KB Output is correct
8 Correct 195 ms 21836 KB Output is correct
9 Correct 196 ms 21748 KB Output is correct
10 Correct 224 ms 22032 KB Output is correct
11 Correct 174 ms 20988 KB Output is correct
12 Correct 180 ms 21500 KB Output is correct
13 Correct 207 ms 21328 KB Output is correct
14 Correct 187 ms 21376 KB Output is correct
15 Correct 203 ms 23036 KB Output is correct
16 Correct 196 ms 21344 KB Output is correct
17 Correct 192 ms 21368 KB Output is correct
18 Correct 201 ms 23128 KB Output is correct
19 Correct 189 ms 23020 KB Output is correct
20 Correct 198 ms 21384 KB Output is correct
21 Correct 243 ms 22044 KB Output is correct
22 Correct 234 ms 23224 KB Output is correct
23 Correct 246 ms 23256 KB Output is correct
24 Correct 225 ms 23216 KB Output is correct
25 Correct 242 ms 23260 KB Output is correct
26 Correct 226 ms 23276 KB Output is correct
27 Correct 235 ms 23124 KB Output is correct
28 Correct 233 ms 23260 KB Output is correct
29 Correct 224 ms 23412 KB Output is correct
30 Correct 233 ms 23356 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 1 ms 604 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 344 KB Output is correct
36 Correct 1 ms 348 KB Output is correct
37 Correct 0 ms 344 KB Output is correct
38 Correct 1 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 1 ms 460 KB Output is correct
43 Correct 1 ms 348 KB Output is correct
44 Correct 1 ms 348 KB Output is correct
45 Correct 1 ms 348 KB Output is correct
46 Correct 1 ms 464 KB Output is correct
47 Correct 1 ms 348 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 1 ms 348 KB Output is correct
50 Correct 1 ms 348 KB Output is correct
51 Correct 2 ms 604 KB Output is correct
52 Correct 2 ms 604 KB Output is correct
53 Correct 2 ms 604 KB Output is correct
54 Correct 2 ms 604 KB Output is correct
55 Correct 2 ms 580 KB Output is correct
56 Correct 2 ms 600 KB Output is correct
57 Correct 2 ms 728 KB Output is correct
58 Correct 2 ms 600 KB Output is correct
59 Correct 2 ms 604 KB Output is correct
60 Correct 6 ms 604 KB Output is correct
61 Correct 317 ms 23216 KB Output is correct
62 Correct 297 ms 23444 KB Output is correct
63 Correct 273 ms 23208 KB Output is correct
64 Correct 306 ms 23288 KB Output is correct
65 Correct 341 ms 23284 KB Output is correct
66 Correct 335 ms 23280 KB Output is correct
67 Correct 306 ms 23216 KB Output is correct
68 Correct 231 ms 23192 KB Output is correct
69 Correct 224 ms 23028 KB Output is correct
70 Correct 226 ms 23120 KB Output is correct