Submission #1094983

#	Time	Username	Problem	Language	Result	Execution time	Memory
1094983		vjudge1	Knapsack (NOI18_knapsack)	C++17	100 / 100	51 ms	4444 KiB

knapsack

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

#define endl '\n'
#define inf32 ((int)1e9 + 7)
#define inf64 ((long long)1e18 + 7)
#define MASK32(x) (1 << (x))
#define MASK64(x) (1LL << (x))
#define BIT(mask, i) (((mask) >> (i)) & 1)
#define all(a) begin(a), end(a)
#define isz(a) ((int)a.size())

const int N = 1e5 + 1, S = 2e3 + 1;

struct Item {
    int v, w, k;

    bool operator<(const Item& rhs) {
        return v > rhs.v;
    }
};

vector<Item> W[S];
int dp[S];

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

    int s, n;
    cin >> s >> n;
    for(int i = 1, v, w, k; i <= n; ++i) {
        cin >> v >> w >> k;
        W[w].push_back({v, w, k});
    }
    vector<Item> v;
    for(int i = 1; i <= s; ++i) {
        int cnt = 0;
        sort(all(W[i]));
        for(const Item& it : W[i]) {
            v.push_back({it.v, i, min((s - cnt) / i + 1, it.k)});
            cnt += i * min((s - cnt) / i + 1, it.k);
            if(cnt > s) break;
        }
    }
    for(Item& it : v) {
        for(int i = 1; i <= it.k; ++i)
            for(int w = s; w >= it.w; --w) dp[w] = max(dp[w], dp[w - it.w] + it.v);
    }
    cout << dp[s];

    return 0;
}

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