답안 #404514

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
404514	2021-05-14T14:11:21 Z	CrouchingDragon	Knapsack (NOI18_knapsack)	C++17	100 / 100	73 ms	2776 KB

knapsack

#include "bits/stdc++.h"

using namespace std;

#define endl '\n'
#define debug(x) cerr << #x << " == " << (x) << '\n';
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)

using ll = long long;

const int INF = 0x3f3f3f3f;
const ll LINF = 0x3f3f3f3f3f3f3f3fLL;

int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    ll S;
    int N;
    cin >> S >> N;

    vector<vector<array<ll, 2>>> items(S + 1);

    for (int i = 0; i < N; ++i) {
        ll V, W, K;
        cin >> V >> W >> K;
        items[W].push_back({V, K});
    }

    vector<ll> dp(S + 1, 0);

    auto insert = [&](ll V, ll W) {
        for (ll x = S - W; x >= 0; --x) {
            dp[x + W] = max(dp[x + W], dp[x] + V);
        }
    };

    for (ll W = 1; W <= S; ++W) {
        sort(rall(items[W]));
        ll left = S / W;
        for (auto [V, K] : items[W]) {
            if (left == 0) break;
            K = min(K, left);
            left -= K;
            for (int x = 1; x <= K; K -= x, x *= 2) insert(x * V, x * W);
            if (K > 0) insert(K * V, K * W);
        }
    }

    ll ans = *max_element(all(dp));
    cout << ans << endl;

    exit(0);
}

Subtask #1
12.0 / 12.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	332 KB	Output is correct
2	Correct	1 ms	332 KB	Output is correct
3	Correct	1 ms	332 KB	Output is correct
4	Correct	1 ms	332 KB	Output is correct

Subtask #2
17.0 / 17.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	1 ms	332 KB	Output is correct
3	Correct	1 ms	332 KB	Output is correct
4	Correct	1 ms	332 KB	Output is correct
5	Correct	1 ms	332 KB	Output is correct
6	Correct	1 ms	332 KB	Output is correct
7	Correct	1 ms	332 KB	Output is correct
8	Correct	1 ms	332 KB	Output is correct
9	Correct	1 ms	332 KB	Output is correct
10	Correct	1 ms	332 KB	Output is correct

Subtask #3
20.0 / 20.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	1 ms	332 KB	Output is correct
3	Correct	1 ms	332 KB	Output is correct
4	Correct	1 ms	332 KB	Output is correct
5	Correct	1 ms	332 KB	Output is correct
6	Correct	1 ms	332 KB	Output is correct
7	Correct	1 ms	332 KB	Output is correct
8	Correct	1 ms	332 KB	Output is correct
9	Correct	1 ms	332 KB	Output is correct
10	Correct	1 ms	332 KB	Output is correct
11	Correct	1 ms	204 KB	Output is correct
12	Correct	2 ms	332 KB	Output is correct
13	Correct	1 ms	332 KB	Output is correct
14	Correct	1 ms	332 KB	Output is correct
15	Correct	1 ms	332 KB	Output is correct
16	Correct	1 ms	332 KB	Output is correct
17	Correct	1 ms	332 KB	Output is correct
18	Correct	1 ms	332 KB	Output is correct
19	Correct	1 ms	332 KB	Output is correct
20	Correct	1 ms	332 KB	Output is correct

Subtask #4
24.0 / 24.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	332 KB	Output is correct
2	Correct	1 ms	332 KB	Output is correct
3	Correct	1 ms	332 KB	Output is correct
4	Correct	1 ms	332 KB	Output is correct
5	Correct	1 ms	204 KB	Output is correct
6	Correct	1 ms	332 KB	Output is correct
7	Correct	1 ms	332 KB	Output is correct
8	Correct	1 ms	332 KB	Output is correct
9	Correct	1 ms	332 KB	Output is correct
10	Correct	1 ms	332 KB	Output is correct
11	Correct	1 ms	332 KB	Output is correct
12	Correct	1 ms	332 KB	Output is correct
13	Correct	1 ms	332 KB	Output is correct
14	Correct	1 ms	332 KB	Output is correct
15	Correct	1 ms	204 KB	Output is correct
16	Correct	2 ms	332 KB	Output is correct
17	Correct	1 ms	332 KB	Output is correct
18	Correct	1 ms	332 KB	Output is correct
19	Correct	1 ms	332 KB	Output is correct
20	Correct	1 ms	332 KB	Output is correct
21	Correct	1 ms	332 KB	Output is correct
22	Correct	1 ms	332 KB	Output is correct
23	Correct	1 ms	332 KB	Output is correct
24	Correct	1 ms	332 KB	Output is correct
25	Correct	1 ms	204 KB	Output is correct
26	Correct	1 ms	332 KB	Output is correct
27	Correct	1 ms	332 KB	Output is correct
28	Correct	1 ms	332 KB	Output is correct
29	Correct	1 ms	332 KB	Output is correct
30	Correct	2 ms	332 KB	Output is correct
31	Correct	1 ms	332 KB	Output is correct
32	Correct	1 ms	332 KB	Output is correct
33	Correct	1 ms	332 KB	Output is correct
34	Correct	1 ms	332 KB	Output is correct

Subtask #5
27.0 / 27.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	332 KB	Output is correct
2	Correct	1 ms	332 KB	Output is correct
3	Correct	1 ms	332 KB	Output is correct
4	Correct	1 ms	332 KB	Output is correct
5	Correct	1 ms	204 KB	Output is correct
6	Correct	1 ms	332 KB	Output is correct
7	Correct	1 ms	332 KB	Output is correct
8	Correct	1 ms	332 KB	Output is correct
9	Correct	1 ms	332 KB	Output is correct
10	Correct	1 ms	332 KB	Output is correct
11	Correct	1 ms	332 KB	Output is correct
12	Correct	1 ms	332 KB	Output is correct
13	Correct	1 ms	332 KB	Output is correct
14	Correct	1 ms	332 KB	Output is correct
15	Correct	1 ms	204 KB	Output is correct
16	Correct	2 ms	332 KB	Output is correct
17	Correct	1 ms	332 KB	Output is correct
18	Correct	1 ms	332 KB	Output is correct
19	Correct	1 ms	332 KB	Output is correct
20	Correct	1 ms	332 KB	Output is correct
21	Correct	1 ms	332 KB	Output is correct
22	Correct	1 ms	332 KB	Output is correct
23	Correct	1 ms	332 KB	Output is correct
24	Correct	1 ms	332 KB	Output is correct
25	Correct	1 ms	204 KB	Output is correct
26	Correct	1 ms	332 KB	Output is correct
27	Correct	1 ms	332 KB	Output is correct
28	Correct	1 ms	332 KB	Output is correct
29	Correct	1 ms	332 KB	Output is correct
30	Correct	2 ms	332 KB	Output is correct
31	Correct	1 ms	332 KB	Output is correct
32	Correct	1 ms	332 KB	Output is correct
33	Correct	1 ms	332 KB	Output is correct
34	Correct	1 ms	332 KB	Output is correct
35	Correct	42 ms	2500 KB	Output is correct
36	Correct	41 ms	2476 KB	Output is correct
37	Correct	43 ms	2488 KB	Output is correct
38	Correct	53 ms	2452 KB	Output is correct
39	Correct	47 ms	2164 KB	Output is correct
40	Correct	73 ms	2636 KB	Output is correct
41	Correct	50 ms	2632 KB	Output is correct
42	Correct	56 ms	2668 KB	Output is correct
43	Correct	44 ms	2576 KB	Output is correct
44	Correct	42 ms	2700 KB	Output is correct
45	Correct	56 ms	2708 KB	Output is correct
46	Correct	50 ms	2484 KB	Output is correct
47	Correct	46 ms	2776 KB	Output is correct
48	Correct	52 ms	2676 KB	Output is correct
49	Correct	50 ms	2628 KB	Output is correct
50	Correct	42 ms	2176 KB	Output is correct

답안 #404514

Compilation message

Subtask #1 12.0 / 12.0

Subtask #2 17.0 / 17.0

Subtask #3 20.0 / 20.0

Subtask #4 24.0 / 24.0

Subtask #5 27.0 / 27.0

Subtask #1
12.0 / 12.0

Subtask #2
17.0 / 17.0

Subtask #3
20.0 / 20.0

Subtask #4
24.0 / 24.0

Subtask #5
27.0 / 27.0