oj.uz

Submission #933014

# Submission time Handle Problem Language Result Execution time Memory
933014 2024-02-24T19:58:29 Z y_combinator Feast (NOI19_feast) C++17
100 / 100
 104 ms 4556 KB 
#include <algorithm>
#include <array>
#include <ios>
#include <iostream>
#include <utility>
#include <vector>

using State = std::pair<long long, int>;

auto solve() {

    auto k = 0;
    auto n = 0;

    std::cin >> n >> k;

    auto a = std::vector<int>(n);

    for (auto& x : a) {
        std::cin >> x;
    }

    auto lo = -1ll;
    auto mx_pts = 0ll;

    for (auto x : a) {
        mx_pts += std::max(x, 0);
    }

    const auto compute = [&](long long penalty) {
        auto dp = std::array<State, 2>();
        dp[1].first = -(mx_pts + 1);
        for (auto x : a) {
            const auto maximize = [](State& lhs, const State& rhs) {
                auto& [pts_l, cnt_l] = lhs;
                const auto& [pts_r, cnt_r] = rhs;
                if (pts_r > pts_l || (pts_r == pts_l && cnt_r < cnt_l)) {
                    lhs = rhs;
                }
            };
            auto new_dp = std::array<State, 2>();
            new_dp[0].first = -(mx_pts + 1);
            new_dp[1].first = -(mx_pts + 1);
            maximize(new_dp[0], dp[0]);
            maximize(new_dp[0], State({dp[0].first + x - penalty, dp[0].second + 1}));
            maximize(new_dp[1], State({dp[0].first + x, dp[0].second}));
            maximize(new_dp[0], State({dp[1].first + x - penalty, dp[1].second + 1}));
            maximize(new_dp[1], State({dp[1].first + x, dp[1].second}));
            dp = std::move(new_dp);
        }
        return dp;
    };
    auto hi = mx_pts + 1;

    while (hi - lo > 1) {
        const auto mid = (lo + hi) >> 1;
        (compute(mid)[0].second < k ? hi : lo) = mid;
    }

    const auto [pts, cnt] = std::move(compute(lo)[0]);

    std::cout << pts + lo * cnt << '\n';

}

auto main() -> int {

    std::cin.tie(nullptr);

    std::ios_base::sync_with_stdio(false);

    solve();

    return 0;

}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 50 ms 4180 KB Output is correct
2 Correct 52 ms 4280 KB Output is correct
3 Correct 54 ms 4436 KB Output is correct
4 Correct 58 ms 4436 KB Output is correct
5 Correct 51 ms 4428 KB Output is correct
6 Correct 52 ms 4188 KB Output is correct
7 Correct 56 ms 4300 KB Output is correct
8 Correct 52 ms 4408 KB Output is correct
9 Correct 50 ms 4176 KB Output is correct
10 Correct 51 ms 4176 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 2648 KB Output is correct
2 Correct 33 ms 2652 KB Output is correct
3 Correct 33 ms 2652 KB Output is correct
4 Correct 42 ms 2652 KB Output is correct
5 Correct 50 ms 4284 KB Output is correct
6 Correct 32 ms 2652 KB Output is correct
7 Correct 36 ms 2648 KB Output is correct
8 Correct 49 ms 4436 KB Output is correct
9 Correct 53 ms 4252 KB Output is correct
10 Correct 33 ms 2520 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 66 ms 4444 KB Output is correct
2 Correct 65 ms 4436 KB Output is correct
3 Correct 65 ms 4440 KB Output is correct
4 Correct 68 ms 4432 KB Output is correct
5 Correct 66 ms 4416 KB Output is correct
6 Correct 66 ms 4436 KB Output is correct
7 Correct 66 ms 4444 KB Output is correct
8 Correct 64 ms 4420 KB Output is correct
9 Correct 71 ms 4432 KB Output is correct
10 Correct 66 ms 4552 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 0 ms 348 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 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 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 0 ms 348 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 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 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 600 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 600 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 0 ms 348 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 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 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 600 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 600 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 480 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 1 ms 344 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 1 ms 344 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 50 ms 4180 KB Output is correct
2 Correct 52 ms 4280 KB Output is correct
3 Correct 54 ms 4436 KB Output is correct
4 Correct 58 ms 4436 KB Output is correct
5 Correct 51 ms 4428 KB Output is correct
6 Correct 52 ms 4188 KB Output is correct
7 Correct 56 ms 4300 KB Output is correct
8 Correct 52 ms 4408 KB Output is correct
9 Correct 50 ms 4176 KB Output is correct
10 Correct 51 ms 4176 KB Output is correct
11 Correct 32 ms 2648 KB Output is correct
12 Correct 33 ms 2652 KB Output is correct
13 Correct 33 ms 2652 KB Output is correct
14 Correct 42 ms 2652 KB Output is correct
15 Correct 50 ms 4284 KB Output is correct
16 Correct 32 ms 2652 KB Output is correct
17 Correct 36 ms 2648 KB Output is correct
18 Correct 49 ms 4436 KB Output is correct
19 Correct 53 ms 4252 KB Output is correct
20 Correct 33 ms 2520 KB Output is correct
21 Correct 66 ms 4444 KB Output is correct
22 Correct 65 ms 4436 KB Output is correct
23 Correct 65 ms 4440 KB Output is correct
24 Correct 68 ms 4432 KB Output is correct
25 Correct 66 ms 4416 KB Output is correct
26 Correct 66 ms 4436 KB Output is correct
27 Correct 66 ms 4444 KB Output is correct
28 Correct 64 ms 4420 KB Output is correct
29 Correct 71 ms 4432 KB Output is correct
30 Correct 66 ms 4552 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 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 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 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 600 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 1 ms 344 KB Output is correct
44 Correct 0 ms 344 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 0 ms 348 KB Output is correct
50 Correct 1 ms 600 KB Output is correct
51 Correct 1 ms 348 KB Output is correct
52 Correct 1 ms 480 KB Output is correct
53 Correct 1 ms 348 KB Output is correct
54 Correct 1 ms 348 KB Output is correct
55 Correct 1 ms 344 KB Output is correct
56 Correct 1 ms 344 KB Output is correct
57 Correct 1 ms 348 KB Output is correct
58 Correct 1 ms 348 KB Output is correct
59 Correct 1 ms 344 KB Output is correct
60 Correct 1 ms 344 KB Output is correct
61 Correct 96 ms 4444 KB Output is correct
62 Correct 101 ms 4556 KB Output is correct
63 Correct 77 ms 4432 KB Output is correct
64 Correct 104 ms 4552 KB Output is correct
65 Correct 97 ms 4428 KB Output is correct
66 Correct 100 ms 4440 KB Output is correct
67 Correct 103 ms 4444 KB Output is correct
68 Correct 69 ms 4548 KB Output is correct
69 Correct 69 ms 4440 KB Output is correct
70 Correct 66 ms 4520 KB Output is correct