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Submission #672366

# Submission time Handle Problem Language Result Execution time Memory
672366 2022-12-15T17:24:41 Z senago Knapsack (NOI18_knapsack) C++17
100 / 100
 53 ms 3788 KB 
#include <algorithm>
#include <iostream>
#include <limits>
#include <unordered_map>
#include <vector>

struct item {
    size_t value = 0;
    size_t count = 0;
};

inline bool cmp_most_valuable(const item& lhs, const item& rhs) noexcept {
    return lhs.value > rhs.value || (lhs.value == rhs.value && lhs.count > rhs.count);
};

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

    size_t amount_of_types = 0, capacity = 0;
    std::cin >> capacity >> amount_of_types;

    std::unordered_map<size_t, std::vector<item>> buckets;
    buckets.reserve(amount_of_types);
    for (size_t i = 0; i < amount_of_types; ++i) {
        size_t weight = 0, value = 0, count = 0;
        std::cin >> value >> weight >> count;
        if (weight <= capacity) {
            buckets[weight].push_back({value, count});
        }
    }

    std::vector<size_t> dp(capacity + 1, 0);
    for (auto& it : buckets) {
        auto& bucket = it.second;
        const size_t weight = it.first;
        std::sort(bucket.begin(), bucket.end(), cmp_most_valuable);

        size_t index = 0;
        for (size_t count = 1; count * weight <= capacity && index < bucket.size(); ++count) {
            for (size_t cap = capacity; cap >= weight; --cap) {
                dp[cap] = std::max(dp[cap], dp[cap - weight] + bucket[index].value);
            }
            --bucket[index].count;
            if (bucket[index].count == 0) {
                ++index;
            }
        }
    }

    std::cout << dp[capacity] << '\n';

    return 0;
}

Subtask #1
12.0 / 12.0

# 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 0 ms 212 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 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 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 212 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 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 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 2 ms 212 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 340 KB Output is correct

Subtask #4
24.0 / 24.0

# 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 0 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 1 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 1 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 2 ms 212 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 0 ms 340 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 3 ms 340 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 0 ms 212 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 0 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 1 ms 340 KB Output is correct

Subtask #5
27.0 / 27.0

# 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 0 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 1 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 1 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 2 ms 212 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 0 ms 340 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 3 ms 340 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 0 ms 212 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 0 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 27 ms 3280 KB Output is correct
36 Correct 33 ms 3280 KB Output is correct
37 Correct 31 ms 3288 KB Output is correct
38 Correct 29 ms 3064 KB Output is correct
39 Correct 34 ms 2920 KB Output is correct
40 Correct 53 ms 3564 KB Output is correct
41 Correct 38 ms 3788 KB Output is correct
42 Correct 37 ms 3668 KB Output is correct
43 Correct 46 ms 3680 KB Output is correct
44 Correct 46 ms 3668 KB Output is correct
45 Correct 32 ms 3392 KB Output is correct
46 Correct 32 ms 3328 KB Output is correct
47 Correct 35 ms 3660 KB Output is correct
48 Correct 42 ms 3520 KB Output is correct
49 Correct 29 ms 3376 KB Output is correct
50 Correct 51 ms 3100 KB Output is correct