Submission #772279

#TimeUsernameProblemLanguageResultExecution timeMemory
772279RandomChickenKnapsack (NOI18_knapsack)C++11
12 / 100
1 ms300 KiB
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using vll = vector<ll>;
#define f0r(i,n) for(ll i = 0; i<(ll)(n); i++)

int main(){
  ll capacity,n;
  cin>>capacity>>n;
  ll value[n], weight[n], quantity[n];
  f0r(i,n) cin>>value[i]>>weight[i]>>quantity[i];

  ll dp[capacity+1]; // in theory: dp[n+1][capacity+1]; but made 1D for memory saving
  f0r(j,capacity+1) dp[j] = 0; // initial row with nothing considered
  f0r(i,n){
    // considering item i
    ll boughtCount[capacity+1];
    for(ll j = capacity; j>=0; j--){
      boughtCount[j] = 0;
      if(j+1<=capacity){
        if(dp[j+1]>dp[j]){
          dp[j] = dp[j+1];
          boughtCount[j] = boughtCount[j+1];
        }
      }
      if(j+weight[i]<=capacity){
        if(boughtCount[j+weight[i]]+1<=quantity[i] && dp[j+weight[i]]+value[i]>dp[j]){
          dp[j] = dp[j+weight[i]]+value[i];
          boughtCount[j] = boughtCount[j+weight[i]]+1;
        }
      }
    }
    f0r(j,capacity+1){
      // cout<<setw(5)<<dp[j];
    }
    // cout<<"\n";
  }
  cout<<dp[0];
}
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