Submission #772265

#TimeUsernameProblemLanguageResultExecution timeMemory
772265RandomChickenKnapsack (NOI18_knapsack)C++11
29 / 100
2 ms340 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
  ll nextDp[capacity+1]; // AUXILIARY FOR TEMPORARILY HOLDING EDITS TO DP
  f0r(j,capacity+1) dp[j] = 0; // initial row with nothing considered
  f0r(i,n){
    // considering item i
    f0r(j,capacity+1){
      ll limit = min((capacity-j)/weight[i],quantity[i]);
      nextDp[j] = max(dp[j],dp[j+limit*weight[i]]+limit*value[i]);
    }
    f0r(j,capacity+1){
      dp[j] = nextDp[j];
      // cout<<setw(5)<<dp[j];
    }
    // cout<<"\n";
  }
  cout<<dp[0];
}
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