Submission #440995

#TimeUsernameProblemLanguageResultExecution timeMemory
440995asdf1234codingKnapsack (NOI18_knapsack)C++14
73 / 100
246 ms262148 KiB
#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;
#define ll long long
#define MOD (ll) (1e9+7)

int main() {
    ios_base::sync_with_stdio(false);
    ll s,n; cin>>s>>n;
    vector<ll> v; // cost
    vector<ll> w; // weight
    vector<ll> k; // copies

    ll maxW = 0;
    
    for(int i=0; i<n; i++) {
        int a,b,c; cin>>a>>b>>c;
        v.push_back(a); w.push_back(b); k.push_back(c);
        maxW += w[i]*k[i];
    }

    vector<vector<ll> > dp(n+2, vector<ll> (s+1));

    dp[0][0] = 0;

    for(int i=1; i<=n; i++) {
        for(int j=0; j<=s; j++) {
            for(int m=0; m<=k[i-1]; m++) {
                if(j>=(m*w[i-1])) { // if our current weight is greater than the weight of m copies of i
                    dp[i][j] = max(dp[i][j], dp[i-1][j-(m*w[i-1])] + m*v[i-1]);
                    //cout<<dp[i][j]<<'\t'<<i<<'\t'<<j<<'\t'<<endl;
                } else {
                    break;
                }
            }
        }
    }
    cout<<dp[n][s]<<endl;

}
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