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Submission #1103042

# Submission time Handle Problem Language Result Execution time Memory
1103042 2024-10-19T15:06:35 Z rastervc Feast (NOI19_feast) C++17
100 / 100
 140 ms 14084 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, ans = 0;
    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;
}

Compilation message

feast.cpp: In function 'int main()':
feast.cpp:31:31: warning: unused variable 'ans' [-Wunused-variable]
   31 |     long long l = 0, r = INF, ans = 0;
      |                               ^~~

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 50 ms 10832 KB Output is correct
2 Correct 63 ms 11680 KB Output is correct
3 Correct 55 ms 11080 KB Output is correct
4 Correct 55 ms 11728 KB Output is correct
5 Correct 53 ms 11548 KB Output is correct
6 Correct 54 ms 11332 KB Output is correct
7 Correct 54 ms 10956 KB Output is correct
8 Correct 56 ms 12600 KB Output is correct
9 Correct 72 ms 10960 KB Output is correct
10 Correct 68 ms 10824 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 46 ms 10988 KB Output is correct
2 Correct 59 ms 10984 KB Output is correct
3 Correct 52 ms 10832 KB Output is correct
4 Correct 45 ms 11004 KB Output is correct
5 Correct 53 ms 11172 KB Output is correct
6 Correct 44 ms 10832 KB Output is correct
7 Correct 45 ms 11036 KB Output is correct
8 Correct 55 ms 11596 KB Output is correct
9 Correct 51 ms 10832 KB Output is correct
10 Correct 44 ms 11020 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 84 ms 10832 KB Output is correct
2 Correct 87 ms 10832 KB Output is correct
3 Correct 102 ms 10960 KB Output is correct
4 Correct 79 ms 10832 KB Output is correct
5 Correct 78 ms 11000 KB Output is correct
6 Correct 81 ms 10840 KB Output is correct
7 Correct 81 ms 10832 KB Output is correct
8 Correct 79 ms 10992 KB Output is correct
9 Correct 95 ms 10832 KB Output is correct
10 Correct 82 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 2384 KB Output is correct
7 Correct 1 ms 2552 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 2384 KB Output is correct
7 Correct 1 ms 2552 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 2560 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 2384 KB Output is correct
7 Correct 1 ms 2552 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 2560 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 2 ms 2384 KB Output is correct
24 Correct 2 ms 2384 KB Output is correct
25 Correct 2 ms 2384 KB Output is correct
26 Correct 2 ms 2384 KB Output is correct
27 Correct 2 ms 2384 KB Output is correct
28 Correct 1 ms 2384 KB Output is correct
29 Correct 2 ms 2384 KB Output is correct
30 Correct 2 ms 2552 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 50 ms 10832 KB Output is correct
2 Correct 63 ms 11680 KB Output is correct
3 Correct 55 ms 11080 KB Output is correct
4 Correct 55 ms 11728 KB Output is correct
5 Correct 53 ms 11548 KB Output is correct
6 Correct 54 ms 11332 KB Output is correct
7 Correct 54 ms 10956 KB Output is correct
8 Correct 56 ms 12600 KB Output is correct
9 Correct 72 ms 10960 KB Output is correct
10 Correct 68 ms 10824 KB Output is correct
11 Correct 46 ms 10988 KB Output is correct
12 Correct 59 ms 10984 KB Output is correct
13 Correct 52 ms 10832 KB Output is correct
14 Correct 45 ms 11004 KB Output is correct
15 Correct 53 ms 11172 KB Output is correct
16 Correct 44 ms 10832 KB Output is correct
17 Correct 45 ms 11036 KB Output is correct
18 Correct 55 ms 11596 KB Output is correct
19 Correct 51 ms 10832 KB Output is correct
20 Correct 44 ms 11020 KB Output is correct
21 Correct 84 ms 10832 KB Output is correct
22 Correct 87 ms 10832 KB Output is correct
23 Correct 102 ms 10960 KB Output is correct
24 Correct 79 ms 10832 KB Output is correct
25 Correct 78 ms 11000 KB Output is correct
26 Correct 81 ms 10840 KB Output is correct
27 Correct 81 ms 10832 KB Output is correct
28 Correct 79 ms 10992 KB Output is correct
29 Correct 95 ms 10832 KB Output is correct
30 Correct 82 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 2384 KB Output is correct
37 Correct 1 ms 2552 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 2560 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 2 ms 2384 KB Output is correct
54 Correct 2 ms 2384 KB Output is correct
55 Correct 2 ms 2384 KB Output is correct
56 Correct 2 ms 2384 KB Output is correct
57 Correct 2 ms 2384 KB Output is correct
58 Correct 1 ms 2384 KB Output is correct
59 Correct 2 ms 2384 KB Output is correct
60 Correct 2 ms 2552 KB Output is correct
61 Correct 134 ms 12612 KB Output is correct
62 Correct 115 ms 14084 KB Output is correct
63 Correct 107 ms 12616 KB Output is correct
64 Correct 140 ms 13896 KB Output is correct
65 Correct 127 ms 13644 KB Output is correct
66 Correct 126 ms 14016 KB Output is correct
67 Correct 122 ms 13520 KB Output is correct
68 Correct 95 ms 13336 KB Output is correct
69 Correct 87 ms 13468 KB Output is correct
70 Correct 85 ms 13896 KB Output is correct