Submission #1308306

#	Time	Username	Problem	Language	Result	Execution time	Memory
1308306		tolga	Knapsack (NOI18_knapsack)	C++20	100 / 100	38 ms	2916 KiB

knapsack

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define endl '\n'

int main() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr), cout.tie(nullptr);

  ll s, n;
  cin >> s >> n;

  vector<vector<pair<ll, ll>>> arr(s + 1);
  for (ll i = 0; i < n; i++) {
    ll v, w, k;
    cin >> v >> w >> k;
    if (w > s)
      continue;
    arr[w].push_back({v, min(k, s / w)});
  }

  vector<ll> dp(s + 1);
  for (ll W = 1; W <= s; W++) {
    if (arr[W].empty())
      continue;

    sort(arr[W].rbegin(), arr[W].rend());
    ll br = s / W;
    for (auto &[val, cnt] : arr[W]) {
      if (br == 0)
        break;

      ll k = min(cnt, br);
      br -= k;

      for (int t = 0; t < k; t++)
        for (ll w = s; w >= W; w--)
          dp[w] = max(dp[w], dp[w - W] + val);
    }
  }
  cout << dp[s] << endl;
}

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