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Submission #1103045

# Submission time Handle Problem Language Result Execution time Memory
1103045 2024-10-19T15:25:09 Z rastervc Feast (NOI19_feast) C++17
100 / 100
 126 ms 10968 KB 
#include <iostream>

constexpr long long INF = 1e18;
constexpr int MAX_N = 3e5 + 5;
int N, K, a[MAX_N];
std::pair<long long, int> dp[MAX_N][2];

std::pair<long long, int> check(long long lambda) {
    dp[1][0] = { 0, 0 };
    dp[1][1] = { a[1] - lambda, 1 };

    for (int i = 2; i <= N; ++i) {
        dp[i][0] = std::max(dp[i - 1][0], dp[i - 1][1]);
        dp[i][1] = std::max(
            std::make_pair(dp[i - 1][0].first + a[i] - lambda, dp[i - 1][0].second + 1),
            std::make_pair(dp[i - 1][1].first + a[i], dp[i - 1][1].second)
        );
    }

    return std::max(dp[N][0], dp[N][1]);
}

int main() {
    std::ios_base::sync_with_stdio(false);
    std::cin.tie(nullptr);

    std::cin >> N >> K;
    for (int i = 1; i <= N; ++i)
        std::cin >> a[i];
    
    long long l = 0, r = INF;
    while (l < r) {
        long long mid = (l + r + 1) >> 1;
        if (check(mid).second >= K) l = mid;
        else r = mid - 1;
    }

    std::cout << check(l).first + l * K;

    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 53 ms 10832 KB Output is correct
2 Correct 55 ms 10832 KB Output is correct
3 Correct 57 ms 10832 KB Output is correct
4 Correct 53 ms 10832 KB Output is correct
5 Correct 53 ms 10832 KB Output is correct
6 Correct 56 ms 10968 KB Output is correct
7 Correct 74 ms 10956 KB Output is correct
8 Correct 53 ms 10832 KB Output is correct
9 Correct 66 ms 10832 KB Output is correct
10 Correct 53 ms 10832 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 46 ms 10832 KB Output is correct
2 Correct 50 ms 10832 KB Output is correct
3 Correct 46 ms 10964 KB Output is correct
4 Correct 47 ms 10832 KB Output is correct
5 Correct 59 ms 10956 KB Output is correct
6 Correct 52 ms 10832 KB Output is correct
7 Correct 54 ms 10832 KB Output is correct
8 Correct 57 ms 10832 KB Output is correct
9 Correct 54 ms 10832 KB Output is correct
10 Correct 47 ms 10968 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 105 ms 10832 KB Output is correct
2 Correct 89 ms 10956 KB Output is correct
3 Correct 97 ms 10828 KB Output is correct
4 Correct 80 ms 10824 KB Output is correct
5 Correct 78 ms 10824 KB Output is correct
6 Correct 95 ms 10832 KB Output is correct
7 Correct 81 ms 10824 KB Output is correct
8 Correct 80 ms 10844 KB Output is correct
9 Correct 89 ms 10832 KB Output is correct
10 Correct 79 ms 10832 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2384 KB Output is correct
2 Correct 1 ms 2384 KB Output is correct
3 Correct 1 ms 2384 KB Output is correct
4 Correct 1 ms 2384 KB Output is correct
5 Correct 1 ms 2384 KB Output is correct
6 Correct 1 ms 2556 KB Output is correct
7 Correct 1 ms 2384 KB Output is correct
8 Correct 1 ms 2384 KB Output is correct
9 Correct 1 ms 2384 KB Output is correct
10 Correct 1 ms 2384 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2384 KB Output is correct
2 Correct 1 ms 2384 KB Output is correct
3 Correct 1 ms 2384 KB Output is correct
4 Correct 1 ms 2384 KB Output is correct
5 Correct 1 ms 2384 KB Output is correct
6 Correct 1 ms 2556 KB Output is correct
7 Correct 1 ms 2384 KB Output is correct
8 Correct 1 ms 2384 KB Output is correct
9 Correct 1 ms 2384 KB Output is correct
10 Correct 1 ms 2384 KB Output is correct
11 Correct 1 ms 2384 KB Output is correct
12 Correct 1 ms 2384 KB Output is correct
13 Correct 1 ms 2384 KB Output is correct
14 Correct 1 ms 2384 KB Output is correct
15 Correct 1 ms 2384 KB Output is correct
16 Correct 1 ms 2384 KB Output is correct
17 Correct 1 ms 2384 KB Output is correct
18 Correct 1 ms 2384 KB Output is correct
19 Correct 1 ms 2384 KB Output is correct
20 Correct 1 ms 2384 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2384 KB Output is correct
2 Correct 1 ms 2384 KB Output is correct
3 Correct 1 ms 2384 KB Output is correct
4 Correct 1 ms 2384 KB Output is correct
5 Correct 1 ms 2384 KB Output is correct
6 Correct 1 ms 2556 KB Output is correct
7 Correct 1 ms 2384 KB Output is correct
8 Correct 1 ms 2384 KB Output is correct
9 Correct 1 ms 2384 KB Output is correct
10 Correct 1 ms 2384 KB Output is correct
11 Correct 1 ms 2384 KB Output is correct
12 Correct 1 ms 2384 KB Output is correct
13 Correct 1 ms 2384 KB Output is correct
14 Correct 1 ms 2384 KB Output is correct
15 Correct 1 ms 2384 KB Output is correct
16 Correct 1 ms 2384 KB Output is correct
17 Correct 1 ms 2384 KB Output is correct
18 Correct 1 ms 2384 KB Output is correct
19 Correct 1 ms 2384 KB Output is correct
20 Correct 1 ms 2384 KB Output is correct
21 Correct 2 ms 2384 KB Output is correct
22 Correct 1 ms 2384 KB Output is correct
23 Correct 1 ms 2584 KB Output is correct
24 Correct 2 ms 2384 KB Output is correct
25 Correct 1 ms 2384 KB Output is correct
26 Correct 2 ms 2384 KB Output is correct
27 Correct 1 ms 2384 KB Output is correct
28 Correct 1 ms 2384 KB Output is correct
29 Correct 1 ms 2384 KB Output is correct
30 Correct 1 ms 2396 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 53 ms 10832 KB Output is correct
2 Correct 55 ms 10832 KB Output is correct
3 Correct 57 ms 10832 KB Output is correct
4 Correct 53 ms 10832 KB Output is correct
5 Correct 53 ms 10832 KB Output is correct
6 Correct 56 ms 10968 KB Output is correct
7 Correct 74 ms 10956 KB Output is correct
8 Correct 53 ms 10832 KB Output is correct
9 Correct 66 ms 10832 KB Output is correct
10 Correct 53 ms 10832 KB Output is correct
11 Correct 46 ms 10832 KB Output is correct
12 Correct 50 ms 10832 KB Output is correct
13 Correct 46 ms 10964 KB Output is correct
14 Correct 47 ms 10832 KB Output is correct
15 Correct 59 ms 10956 KB Output is correct
16 Correct 52 ms 10832 KB Output is correct
17 Correct 54 ms 10832 KB Output is correct
18 Correct 57 ms 10832 KB Output is correct
19 Correct 54 ms 10832 KB Output is correct
20 Correct 47 ms 10968 KB Output is correct
21 Correct 105 ms 10832 KB Output is correct
22 Correct 89 ms 10956 KB Output is correct
23 Correct 97 ms 10828 KB Output is correct
24 Correct 80 ms 10824 KB Output is correct
25 Correct 78 ms 10824 KB Output is correct
26 Correct 95 ms 10832 KB Output is correct
27 Correct 81 ms 10824 KB Output is correct
28 Correct 80 ms 10844 KB Output is correct
29 Correct 89 ms 10832 KB Output is correct
30 Correct 79 ms 10832 KB Output is correct
31 Correct 1 ms 2384 KB Output is correct
32 Correct 1 ms 2384 KB Output is correct
33 Correct 1 ms 2384 KB Output is correct
34 Correct 1 ms 2384 KB Output is correct
35 Correct 1 ms 2384 KB Output is correct
36 Correct 1 ms 2556 KB Output is correct
37 Correct 1 ms 2384 KB Output is correct
38 Correct 1 ms 2384 KB Output is correct
39 Correct 1 ms 2384 KB Output is correct
40 Correct 1 ms 2384 KB Output is correct
41 Correct 1 ms 2384 KB Output is correct
42 Correct 1 ms 2384 KB Output is correct
43 Correct 1 ms 2384 KB Output is correct
44 Correct 1 ms 2384 KB Output is correct
45 Correct 1 ms 2384 KB Output is correct
46 Correct 1 ms 2384 KB Output is correct
47 Correct 1 ms 2384 KB Output is correct
48 Correct 1 ms 2384 KB Output is correct
49 Correct 1 ms 2384 KB Output is correct
50 Correct 1 ms 2384 KB Output is correct
51 Correct 2 ms 2384 KB Output is correct
52 Correct 1 ms 2384 KB Output is correct
53 Correct 1 ms 2584 KB Output is correct
54 Correct 2 ms 2384 KB Output is correct
55 Correct 1 ms 2384 KB Output is correct
56 Correct 2 ms 2384 KB Output is correct
57 Correct 1 ms 2384 KB Output is correct
58 Correct 1 ms 2384 KB Output is correct
59 Correct 1 ms 2384 KB Output is correct
60 Correct 1 ms 2396 KB Output is correct
61 Correct 117 ms 10960 KB Output is correct
62 Correct 121 ms 10824 KB Output is correct
63 Correct 99 ms 10832 KB Output is correct
64 Correct 123 ms 10960 KB Output is correct
65 Correct 125 ms 10964 KB Output is correct
66 Correct 126 ms 10824 KB Output is correct
67 Correct 126 ms 10832 KB Output is correct
68 Correct 84 ms 10832 KB Output is correct
69 Correct 88 ms 10960 KB Output is correct
70 Correct 104 ms 10824 KB Output is correct