Submission #696870

#	Time	Username	Problem	Language	Result	Execution time	Memory
696870		phongcd	Knapsack (NOI18_knapsack)	C++14	73 / 100	155 ms	262144 KiB

knapsack

#include <bits/stdc++.h>
#define ll long long
#define ii pair <int, int>
#define ill pair <ll, ll>
#define fi first
#define se second
#define all(x) x.begin(), x.end()
#define file "test"
using namespace std;
const int N = 1e5 + 5;
const int MOD = 1e9 + 7;
const ll INF = 1e18;
const int base = 311;
const int BLOCK_SIZE = 2000;
 
ll n, m, f[N][2005];

vector <int> decompose(int x) {
    int t = 1;
    vector <int> res;
    while (x > t) {
        res.push_back(t);
        x -= t, t *= 2;
    }
    res.push_back(x);
    return res;
}

int main() {
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
  
 
    cin >> m >> n;
    for (int i = 1; i <= n; i ++) {
        ll v, w, k;
        cin >> v >> w >> k;
        k = min(k, m / w + 1);
        vector <int> b = decompose(k);
        for (auto k: b) 
            for (int j = m; j >= k * w; j --)
                f[i][j] = max(f[i][j], max(f[i][j - k * w], f[i - 1][j - k * w]) + k * v);

        for (int j = 1; j <= m; j ++)
            f[i][j] = max(f[i][j], f[i - 1][j]);
    }

    cout << f[n][m];
} 

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