Submission #1089998

#	Time	Username	Problem	Language	Result	Execution time	Memory
1089998		EmmaXII	Knapsack (NOI18_knapsack)	C++17	73 / 100	1066 ms	3676 KiB

knapsack

#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
using vi = vector<int>;
using vvi = vector<vector<int>>;
using vll = vector<ll>;
using vvll = vector<vector<ll>>;

#define all(x) x.begin(), x.end()
#define ckmin(a,b) a = min(a,b)
#define ckmax(a,b) a = max(a,b)


int main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(NULL);

    int N, S;
    cin >> S >> N;

    vll V(N);
    vi W(N);
    vll K(N);

    for (int i=0;i<N;i++) cin >> V[i] >> W[i] >> K[i];

    vll dp(S+1, 0);
    for (int i=0;i<N;i++) {
        vll ndp(S+1, 0);
        for (int j=0;j<=W[i] && j<=S;j++) {
            multiset<ll> maxes;
            for (int jp=0;j+jp*W[i]<=S;jp++) {
                maxes.insert(dp[j + jp*W[i]] - jp*V[i]);
                if (jp > K[i]) {
                    int njp = jp - (int)(K[i] + 1);
                    ll oldmax = dp[j + njp*W[i]] - njp*V[i];
                    maxes.erase(maxes.find(oldmax));
                }

                ll curmax = *maxes.rbegin();
                ckmax(ndp[j+jp*W[i]], curmax + jp*V[i]);
            }
            // for (int k=0;j-k*W[i]>=0 && k <= K[i];k++) {
            //     ckmax(ndp[j], dp[j-k*W[i]] + k * V[i]);
            // }
        }

        swap(ndp, dp);
    }

    cout << dp[S] << endl;

    return 0;
}

• Subtask 1: 12 / 12
• Subtask 2: 17 / 17
• Subtask 3: 20 / 20
• Subtask 4: 24 / 24
• Subtask 5: 0 / 27