Submission #744392

#TimeUsernameProblemLanguageResultExecution timeMemory
744392Azm1tKnapsack (NOI18_knapsack)C++17
73 / 100
141 ms262144 KiB
#include "bits/stdc++.h"
using namespace std;
#define forn for (int i = 0; i < n; i++)
#define int long long
#define ed "\n"
#define cyes cout << "YES\n"
#define cno cout << "NO\n"
#define pb push_back
#define deb cout << "Hi\n"
#define pint pair<int, int>
const long long MOD = 1000000007;

void dbg_out(){cerr<<"\n";}
template<typename Head,typename... Tail>
void dbg_out(Head H,Tail... T){cerr<<' '<<H;dbg_out(T...);}
#define debug(...) cerr<<"("<<#__VA_ARGS__<<"):",dbg_out(__VA_ARGS__)

//-------------------------------------------------------------------------------------------------------------------------------------------------------------------//


int32_t main(){

    std::ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    int w, n; cin>>w>>n;
    vector<array<int, 3>> v(n);
    forn cin>>v[i][0]>>v[i][1]>>v[i][2];

    vector<pint> v2;
    for(auto val: v){
        int vi = val[0];
        int wi = val[1];
        int ki = val[2];
        for(int i = 0; i <= 34; i++){
            if(ki >= (1LL << i)){
                int tt = (1LL << i);
                v2.pb({tt*wi, tt*vi});
                ki -= tt;
            }
        }
        if(ki > 0) v2.pb({ki*wi, ki*vi});
    }

    // for(auto val: v2) debug(val.first, val.second);

    n = v2.size();
    vector<vector<int>> dp(n, vector<int> (w+1, 0));
    for(int i = 0; i < n; i++){
        for(int j = 1; j <= w; j++){
            if(i == 0){
                if(j >= v2[i].first) dp[i][j] = v2[i].second;
            }
            else{
                dp[i][j] = dp[i-1][j];
                if(j-v2[i].first >= 0) dp[i][j] = max(dp[i][j], dp[i-1][j-v2[i].first] + v2[i].second);
            }
        }
    }

    cout << dp[n-1][w] << ed;


}
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