Submission #404499

#	Time	Username	Problem	Language	Result	Execution time	Memory
404499		CrouchingDragon	Knapsack (NOI18_knapsack)	C++17	100 / 100	208 ms	59592 KiB

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<ll>> items(S + 1);

    for (int i = 0; i < N; ++i) {
        ll V, W, K;
        cin >> V >> W >> K;
        K = min(K, S / W);

        for (int x = 1; x <= K; K -= x, x *= 2) {
            items.push_back({x * V, x * W});
            items[x * W].push_back(x * V);
        }
        if (K > 0) items[K * W].push_back(K * V);
    }

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

    for (int w = 1; w <= S; ++w) {
        sort(rall(items[w]));
        items[w].resize(min((ll)size(items[w]), S / w));
        for (auto x : items[w]) {
            for (ll z = S - w; z >= 0; --z) {
                dp[z + w] = max(dp[z + w], dp[z] + x);
            }
        }
    }

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

    exit(0);
}

• Subtask 1: 12 / 12
• Subtask 2: 17 / 17
• Subtask 3: 20 / 20
• Subtask 4: 24 / 24
• Subtask 5: 27 / 27