Submission #528313

#	Time	Username	Problem	Language	Result	Execution time	Memory
528313		theysoldtheworld	Knapsack (NOI18_knapsack)	C++14	73 / 100	1092 ms	2648 KiB

knapsack

#include <bits/stdc++.h>
 
using namespace std;
 
struct Item {
  long long v , w , k;
};
 
int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int S , N;
  cin >> S >> N;
  vector<Item> a(N);
  for (int i = 0 ; i < N ; i++) {
    cin >> a[i].v >> a[i].w >> a[i].k;
    a[i].k = min(a[i].k , S * 1LL);
  }
  vector<long long> dp(S + 1);
  vector<bool> Reachable(S + 1);
  Reachable[0] = true;
  for (int i = 0 ; i < N ; i++) {
    for (long long how = a[i].k ; how >= 1 ; how--) {
      for (long long j = S - a[i].w * how ; j >= 0 ; j--) {
        if (j + a[i].w * how <= S && Reachable[j]) {
          Reachable[j + a[i].w] = true;
          dp[j + a[i].w] = max(dp[j + a[i].w] , dp[j] + 1LL * a[i].v);
        }
      }
    }
  }
  cout << *max_element(dp.begin(),dp.end()) << '\n';
  return 0; 
}

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